Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
x=1/5,3
Decimal Form:
x=0.2,3
Ayuda porfa doy corona
Answer:
goto chrome and search spankbang
Step-by-step explanation:
thet the answer
A twons populations is 43,425. About 125 people move out of the town each month, 200 people on the average move into town. A nearby town has population of 45,000. it has no one moving in and an average of 150 people moving away every month. In about how many months will the population of the towns be equal? Write an equation that represents this situation and solve.
Answer:
After 7 months months the population of both the town will be equal.
Step-by-step explanation:
Let's assume, the population of both towns will be equal after x number of months.
Every month 125 people move out of the town and 200 people move into the town, where already 43,425 people are living. So, the population of the former town after x months is,
Every month 150 people move out of the town, where already 45,000 people are living. So, the population of the latter town after x months is,
when the population of both of the towns are same,then
Automobile manufacturers and dealers use a variety of marketing devices to sell cars. Among these are rebates and low-cost dealer-arranged financing packages. To determine which method of reducing the vehicle's cost is better, you can use the following equation that considers the amount borrowed (D), the interest rate on the loan (APR), the number of payments made each year (Y), the total number of scheduled payments (P), and any finance charged in the transaction (F): Y x (95P 9) xF 12P x (P + 1) x (4D F) APR = You and your friend, Elizabeth, have been shopping for your new car for several weeks. Together, you've visited several dealerships and your combined negotiating efforts have resulted in an agreed-on price of $27,690. In addition, the dealer has offered you either a rebate of $2,000 or an introductory interest rate of 3.5% APR. If you elect to take advantage of the 3.5% low-cost dealer financing, you'll also have to pay $1,038 in finance charges and make monthly payments of $625.21 for four years. Alternatively, you've also been preapproved for a four-year 8.8% loan from your credit union. This loan will require payments of $636.86 per month and a 2% down payment Given this information, what is the adjusted cost of the dealer financing package, rounded to two decimal places? 5.00% 5.75% 4.50% Should you accept the low-cost dealer-arranged financing package or should you accept the rebate and finance your new vehicle using your credit union loan? Select the loan offered by your credit union as its cost (8.8%) is less than the adjusted cost of the dealer-arranged financing (5.00%) select the loan offered by the dealer as it has a lower adjusted cost (5.00%) than the loan offered by your credit union (8.8%).
The adjusted cost of the dealer financing package is 5.00%. Therefore, you should accept the rebate and finance your new vehicle using your credit union loan as its cost (8.8%) is less than the adjusted cost of the dealer-arranged financing (5.00%).
To compare the dealer financing package with the credit union loan, you need to determine the adjusted cost of the dealer financing package using the given equation.
Using the given information: D = $27,690, APR = 3.5%, Y = 12 (monthly payments), P = 48 (4 years of payments), and F = $1,038.
Plugging the values into the equation:
APR = (12 * ((95 * 48) + 9) * 1038) / (12 * 48 * (48 + 1) * (4 * 27690 - 1038))
APR = (12 * (4560 + 9) * 1038) / (12 * 48 * 49 * (110760 - 1038))
APR = (12 * 4569 * 1038) / (12 * 48 * 49 * 109722)
APR = 56830384 / 257289792
APR ≈ 0.2208
To convert this to percentage, multiply by 100: 0.2208 * 100 ≈ 22.08%
Since the adjusted cost of the dealer-arranged financing package (22.08%) is higher than the credit union loan's cost (8.8%), you should accept the rebate and finance your new vehicle using your credit union loan.
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find the range of the function f(x) = x^2 - 6x if the domain is (-7, -2, 1)
The range of the function f(x) = x² - 6x with domain of (-7, -2, 1) is calculated to be (91, 16, -5)
How to find the range for the given domainsThe domain is controlled by the input values. considering the points (-7, -2, 1)
The range is solved using the given function
f(x) = x^2 - 6x
substituting for x in the function
for x = 7
= 7² - 6 * -7 = 91
for x = -2
= -2² - 6 * -2 = 16
for x = 1
= 1² - 6 * 1 = -5
The range is (91, 16, -5)
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10 players, everyone wagers 100 bucks, everyone picks 0-100, whoever picks to half the average wins the prize, what number would you pick and why?
The number we should pick near average value is 252 or 253.
In this given scenario, we have 10 players, everyone wagers 100 bucks and everyone picks 0-100. The person who picks to half the average wins the prize. To determine what number we should pick and why, let's start by solving the problem step-by-step.
Step 1: Find the average value of all picks.To find the average, we add up all the picks and divide by the number of players. We have 10 players, so: Sum of all picks = 0 + 1 + 2 + ... + 99 + 100 = 5050
Average value = (sum of all picks) / (number of players)= 5050 / 10= 505
Step 2: Half the average value. To half the average value, we divide it by 2:
Half of average = (average value) / 2= 505 / 2= 252.5
Step 3: Choose the number closest to half the average. Now that we know that the half of the average value is 252.5, we should choose the number closest to it. The person who picks the number closest to 252.5 wins the prize. If we pick a number less than 252.5, we will not win because someone who chose a number greater than 252.5 will win. If we pick a number greater than 252.5, we will not win because someone who chose a number less than 252.5 will win.So, the number we should pick is 252 or 253. Both numbers are equally close to 252.5. If we want to win, we should choose one of these numbers.
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Nick has 4 times as many partners as Gabriel, Leo has half as many partners as Nick.
Altogether, they have 28 partners. Explain how many partners Gabriel has.
Gabriel has 4 partners.
When you take the 4 and multiply it by 4, you get 16 where you'd take half of the 16 and add it to it. So you'd have 16 + 8 where it equals 24 and then add the original 4 and you get 28.
Integrate the ODE
dy/dx = x² √y, 0 < x < 2, y(0) = 1
using Euler's method (Δx = 0, 2) to compute y(2). Obtain analytical solution to the ODE and compare y(2) obtained using Euler's method with that obtained analytically.
we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.
Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:
Step 1: For x = 0, y = 1 (initial condition).
Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.
Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.
Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.
Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.
Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.
Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.
Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.
Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.
Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.
Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.
Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.
To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:
∫(1/√y) dy = ∫x² dx
Integrating both sides gives:
2√y = (1/3)x³ + C
Solving for y:
y = (1/4)(x³ + C)²
Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:
1 = (1/4)(0³ + C)²
1 = (1/4)C²
4 = C²
C = ±2
Since C can be either 2 or -2, the general solution to the ODE is:
y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²
Now, let's evaluate y(2) using the analytical solution:
y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5
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find the value of the variable: 9m - 19 = 8
Answer:
m=3
Step-by-step explanation:
9m-19=8.
9m=27. Add 18 on both sides
m=3 divide by 9 on both sides
Hope this helps plz mark brainliest :D
Answer:
3 = m
Step-by-step explanation:
9m - 19 = 8
+19 +19
9m = 27
9 divided by 9 is m
27 divided by 9 is 3
4(4x-2) + 1 = 16x - 7
how many solutions
Answer:
infinite
Step-by-step explanation:
\(\\ \sf\longmapsto 4(4x-2)+1=16x-7\)
\(\\ \sf\longmapsto 16x-8+1=16x-7\)
\(\\ \sf\longmapsto 16x-7=16x-7\)
\(\\ \sf\longmapsto 0=0\)
this may help you with your question
Under what condition on bı, b2, b3 is this system solvable? Include b as a fourth column in elimination. Find all solutions when that condition holds: x + 2y – 2z = bi 2x + 5y - 4z = 62 4x + 9y - 8z = 63. 6 whnt on
The system is solvable only if \($-b_1 + 2b_2 - b_3 = 0$\). All solutions for the given condition are \(${(x, y, z) \mid x = \frac{1}{2}(2t - b_1 - b_2), y = \frac{1}{5}(4t + 2b_1 - 5b_2), z = t}$\).
We can set up the augmented matrix as follows:
\(\begin{bmatrix}1 & 2 & -2 & b_1 \ 2 & 5 & -4 & b_2 \ 4 & 9 & -8 & b_3\end{bmatrix}\)
We can row reduce this matrix to determine when the system is solvable and to find any solutions. Performing row operations, we get:
\(\begin{bmatrix}1 & 2 & -2 & b_1 \ 0 & 1 & 0 & 2b_1 - 5b_2 \ 0 & 0 & 0 & -b_1 + 2b_2 - b_3\end{bmatrix}\)
So the system is solvable if and only if \($-b_1 + 2b_2 - b_3 = 0$\). In this case, we can solve for z in terms of y and x by expressing z as a free variable and solving for x and y in terms of z. We get:
\(\begin{align*}z &= t \y &= \frac{1}{5}(4t + 2b_1 - 5b_2) \x &= \frac{1}{2}(2t - b_1 - b_2) \\end{align*}\)\begin{align*}
z &= t \
y &= \frac{1}{5}(4t + 2b_1 - 5b_2) \
x &= \frac{1}{2}(2t - b_1 - b_2) \
\end{align*}
where t is any real number. So the solutions are given by the set:
\(${(x, y, z) \mid x = \frac{1}{2}(2t - b_1 - b_2), y = \frac{1}{5}(4t + 2b_1 - 5b_2), z = t}$\)
where t is any real number, and \($-b_1 + 2b_2 - b_3 = 0$\).
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Triangle PQR is similar to Triangle XYZ. If PQ = n + 2, QR = n - 2, and XY = n^2 - 4,
what is the value of YZ, in terms of n?
Note that if Triangle PQR is similar to Triangle XYZ, and If PQ = n + 2, QR = n - 2, and XY = n²- 4, then the value of YZ, in terms of n is: (n-2)²
What is the justification for the above expression?
Where triangle PQR is similar to triangle XYZ, then;
PQ/QR =XY/YZ
Given
PQ = n + 2,
QR = n - 2 and
XY=n² - 4,
Substitute
n+2/n-2 = n²-4/YZ
n+2/n-2 = (n+2)(n-2)/YZ
1/n-2 = n-2/YZ
Cross multiply
YZ = (n-2)(n-2)
YZ = (n-2)²
Hence the value of YZ in terms of n is (n-2)²
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Jayla and Hailey were paying a dinner check, but they were not sure how much they should tip for their bill of $25.50. If a 12% tip is standard, about how much should they leave for the server?
Answer:
tip total $4
tip per person $2
total (bill plus tip) $29.
total each person $15
Step-by-step explanation:
At Rental Company A, a rental car costs $55.50 and every
kilometer costs $14.40. At Rental Company B, a rental car
costs $91.50 and every kilometer costs $10.80.
At how many kilometers will they cost the same, and how
much will it cost?
kilometers
dollars
Answer:
1/ At 10km, they will cost the same.
2/ It costs $199.50
Step-by-step explanation:
We know
Rental Company A, a rental car costs $55.50, and every kilometer costs $14.40.
Let Y represent the total cost, and x is the number of kilometers. We have the equation
y = 14.40x + 55.50
Rental Company B, a rental car costs $91.50, and every kilometer costs $10.80.
y = 10.80x + 91.50
How many kilometers will they cost the same?
14.40x + 55.50 = 10.80x + 91.50
3.6x = 36
x = 10 km
How much will it cost?
y = 14.40(10) + 55.50
y = 144 + 55.50
y = $199.50
Select the point that is included in the solution set of the system of inequalities. y>-3y>-2-1
y > x - 3
y > x - 1
The above system of inequalities was given from the question
Firstly, we will need to graph the system of inequalities
y > x - 3
Change the inequality sign to equality sign
The equation becomes
y = x - 3
To find y, let x = 0
y = 0 - 3
y = -3
To find x, let y = 0
0 = x - 3
Make x the subject of the formula
0 + 3 = x
x = 3
For the system of inequality, y > x - 3
The points is (3, -3)
For the second system of inequality
y > x - 1
Change the inequality ss
A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios? StartFraction 3 Over 7 EndFraction greater-than StartFraction 2 Over 1 EndFraction StartFraction 2 Over 7 EndFraction less-than StartFraction 3 Over 1 EndFraction StartFraction 7 Over 1 EndFraction less-than two-thirds
Answer:
milk to oil - correctly shows ratio 3:1
Answer:
B 2/7 <3/1
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
ggfvnjuygvvbnnjhyff ggrgbj
Answer: The answer Is C
Step-by-step explanation:
PLS GIVE ME BRAINLIEST
i am confused on how to solve this
Answer:
a) Both slopes are 4
b) The function g(x) has a greater y-intercept
Step-by-step explanation:
a) To find the slope of the function g(x), simply look at the coefficient (the number before the variable x). In this case, the coefficient is 4, so your slope is 4. This is because the equation is in slope-intercept form: y = mx + b where m is the slope.
To find the slope of function f(x), take two y-coordinates (y-coordinates are found in the column f(x)) and subtract one from another. This is your rise. Then, take two x-coordinates (from column x) and subtract one from another. This is your run. Divide the rise by the run, and you have your slope. In this case, you should get 4/1, or 4.
b) To find the y-intercept for function g(x), take a look at slope-intercept form again: y = mx + b, where b represents the y-intercept. So, the "b" of g(x) = 4x + 3 is 3. Your y-intercept is 3.
To find the y-intercept of function f(x), locate the row where there is a zero under column x. In this case, it's the second row. The number -1 is your y-coordinate when x is zero. Your y-intercept is -1.
-1 is less than 3, so the y-intercept of function g(x) is greater.
Hope this helps!
Describe the translation that maps figure ABCD onto figure EFGH
The translation that maps figure ABCD onto figure EFGH is described as follows: Translate figure ABCD 7 units right to form figure EFGH..
What is a translation?Translation transformation is a type of geometric transformation that moves every point of an object or shape in a straight line without changing its orientation or size.
A translation happens when either a figure or a function are moved horizontally or vertically.
How to determine the translation ruleIf we look at the corresponding vertices on each figure, we have that:
7 was added to the x-coordinate of each vertex.The y-coordinate of each vertex remains constant.Hence: Translate figure ABCD 7 units right to form figure EFGH.
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Please answer! Thank youuu
Answer:
36%
Step-by-step explanation:
People with size 7 shoes = 5
People with size 7½ = 7
People with size 8 = 9
People with size 8½ = 3
People with size 9 = 1
To find out the total, you have to add all the people up:
5 + 7 + 9 + 3 + 1 = 25
The total amount of students = 25
Since you're trying to find the percentage of students who have a shoe size of 8, you have to look at how many people have that size:
People with size 8 = 9
To find out the percentage you do:
9/25 × 100 = 36%
Therefore 36% of students have a shoe size of 8
:)
Are irrational numbers such as π included in the domain of the function f(x) = 7
Yes, irrational numbers such as π are included in the domain of the function f(x) = 7.
The domain of a function is the set of all possible input values (x) for which the function is defined. In the case of the function f(x) = 7, the output value (y) is always equal to 7, regardless of the input value.
Since every real number, including irrational numbers like π, can be an input value for f(x) = 7, the domain of this function is the set of all real numbers, which includes both rational and irrational numbers. Therefore, π is included in the domain of the function f(x) = 7.
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A new car is purchased for 21300 dollars. The value of the car depreciates at 5.75%
per year. To the nearest tenth of a year, how long will it be until the value of the car is
9200 dollars?
Answer: 14.2
Answer:
14.2
Step-by-step explanation:
You make the equation: y = 21300 (0.9425)^t
Now the y value should be 9200 so you set that equal to y. 9200/21300= 0.9425^t
t=14.2 years
Hope this helps!
4-13. Below are some methods that students from another class used to find the number of tiles in problem 4-12. Which ones are like the ones that students in your class came up with? Which ones are new or different? For each new method, describe how the student might have been seeing the picture frame to come up with that method. Then add any new strategies to your resource page. Jonas' Method: 4·10−4 Curran's Method: 10+9+9+8 Tina's Method: 10+10+8+8 Ramond's Method: 10·10−8·8 Alyssa's Method: 9·4 TJ's Method: 4·8+4
Answer:
Wakaranai
Step-by-step explanation:
5 and 9 are the example of ____ number
Answer:
Step-by-step explanation:
complex numbers , real numbers , rational numbers , natural numbers , whole numbers
Pls answer, and quick!! i'll give brainliest
Answer:
see explanation
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
A
scale factor = \(\frac{3}{9}\) = \(\frac{1}{3}\)
B
scale factor = \(\frac{9}{3}\) = 3
Which expression has the same value as -18-(-9)?
O -18÷2
O −12+(-3)
O -10÷5
O-8+(-4)
Answer: -8 + (-4 )(look at the image for the solution)
Step-by-step explanation:
HW11. Consider a simplified version of the UN Security Council in which there are six players (council members) P1, P2, P3, P4, P5, and P6. In order for a resolution to pass, a majority of council members must vote in favor of it. Moreover, P1, P2, and P3 all have veto power while the others do not. A. Find the Banzhaf power distribution of this voting system. B. According to Banzhaf’s approach to measuring power, how many times more power does a council member with veto power have than a council member without veto power? c. You are not asked to find the Shapley-Shubik power distribution of this voting system, but if you were, the following are just a few of the sequential coalitions you would need to consider. In each of the following sequential coalitions, underline the pivotal player: < P1, P3, P5, P4, P6, P2 > < P2, P5, P3, P4, P1, P6> < P4, P5, P2, P6, P1, P3 > < P6, P5, P4, P3, P2, P1 >
The Banzhaf power distribution shows that players with veto power (P1, P2, and P3) have a power of 4, while players without veto power (P4, P5, and P6) have a power of 0. The players with veto power have 4 times more power than those without veto power.
The Banzhaf power distribution is a method used to measure the power of players in a voting system. In this simplified version of the UN Security Council, we have six players: P1, P2, P3, P4, P5, and P6. P1, P2, and P3 have veto power, while the others do not. To find the Banzhaf power distribution, we need to calculate the number of times each player is pivotal in swinging the vote.
To determine the Banzhaf power distribution, we can analyze all possible coalitions of voters. A player is pivotal if their vote determines whether a resolution passes or not. In this case, any coalition that includes P1, P2, or P3 will have enough votes to pass a resolution, while coalitions without them will not. Let's calculate the Banzhaf power distribution for each player:
1. P1: P1 is pivotal in all coalitions that do not include P2 and P3. So, P1 has the power of \(2^3 - 2^2\) = 4.
2. P2: P2 is pivotal in all coalitions that do not include P1 and P3. So, P2 has the power of \(2^3 - 2^2\) = 4.
3. P3: P3 is pivotal in all coalitions that do not include P1 and P2. So, P3 has the power of\(2^3 - 2^2\) = 4.
4. P4, P5, and P6: These players do not have veto power, so they are never pivotal. Therefore, they have a power of 0.
Now let's move on to part B of the question. According to Banzhaf's approach, a council member with veto power has 4 times more power than a council member without veto power. This is because the players with veto power (P1, P2, and P3) have the power of 4, while the players without veto power have a power of 0.
For part C of the question, we are asked to consider some sequential coalitions and identify the pivotal player in each coalition. Let's analyze the given coalitions:
1. : In this coalition, P1 and P3 are pivotal players because without their votes, the resolution cannot pass.
2. : In this coalition, P1, P2, and P3 are pivotal players.
3. : In this coalition, P1, P2, and P3 are pivotal players.
4. : In this coalition, P1, P2, and P3 are pivotal players.
In all these coalitions, the players with veto power (P1, P2, and P3) are pivotal because their votes are necessary for a resolution to pass.
In summary, the Banzhaf power distribution shows that players with veto power (P1, P2, and P3) have a power of 4, while players without veto power (P4, P5, and P6) have a power of 0. The players with veto power have 4 times more power than those without veto power. Additionally, in the given sequential coalitions, the pivotal players are always P1, P2, and P3.
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solve this please ok?
The correct statements and reasons to prove the intended expressions using the reflexive property of congruence are presented in the following table as follows;
17. Statements \({}\) Reasons
1. ∠A ≅ ∠C \({}\) 1. Given
2. \(\overline{BD}\) bisects ∠ADC 2. Given
3. ∠ADB ≅ ∠CDB \({}\) 3. Definition of bisected angle
4. \(\overline{BD}\) ≅ \(\overline{BD}\) \({}\) 4. Reflexive Property
5. ΔADB ≅ ΔCDB \({}\) 5. AAS
18. Statement \({}\) Reasons
6. \(\overline{AB}\) ≅ \(\overline{CD}\) \({}\) 1. Given
7. \(\overline{AD}\) ≅ \(\overline{BC}\) \({}\) \({}\) 2. Given
8. \(\overline{BD}\) ≅ \(\overline{DB}\) \({}\) 3. Reflexive property
9. ΔADB ≅ ΔCDB\({}\) 4. SSS
10. ∠A ≅ ∠C \({}\) 5. CPCTC
What is the reflexive property of congruence?The reflexive property of congruence states that a geometric figure, such as a shape, line segment, or angle is congruent to itself.
The details of the reasons used to prove the above relations can be presented as follows;
Definition of bisected angle
A bisected angle is an angle that is divided into two angles of the same measure by a segment.
AAS
The AAS is an acronym for Angle-Angle-Side congruence rule which states that is two angles and a non included side in one triangle are congruent to two angles and a non included in another triangle are congruent, then the two triangles are congruent.
SAS
The SAS is an acronym for Side-Angle-Side congruence rule states that two triangles are congruent if two sides and an included angle in one triangle are congruent to two sides and an included angle in the other triangle, then the two triangles are congruent
SSS
The SSS is an acronym for Side-Side-Side congruence rule which states that if three sides in one triangle are congruent to the three sides in another the three sides in the another triangle, then the two triangles are congruent
CPCTC
The CPCTC is an acronym for Corresponding Parts of Congruent Triangle are Congruent.
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Find the equation of the line that passes through the point (1,2) with a slope of 4. Plug in your values for a and b into the equation below.
y = ______x+_______
Answer:
y=4x-2
you can find the y intercept if you plot a confirmed point on a graph and follow the slope to the line.
Answer:
y = 4x - 2
Step-by-step explanation:
Since we are given the slope already, we can solve for the y-intercept using the slope, the given point, and the formula [ y = mx + b ]
y = 4x + b
2 = 4(1) + b
2 = 4 + b
-2 = b
Substitute with what we solved for into the formula.
y = 4x - 2
Best of Luck!
what is 5x^2 + 8x -4
Answer:
if your factoring the answer should be (5x-2) (x+2)
Answer:
(5x−2)(x+2)
Step-by-step explanation:
Determine the equation, in slope-intercept form, for the line that is
Y = 1/2x-4
perpendicular to 2 and contains the point (4,1).