Answers
Answer:
X intercepts: (-2, 0), (2, 0)
Y intercept: (0, 4)
Edited because I forgot to put in point form earlier. Depends on whether your teacher wants it in point form. If not, ignore the 0s.
Step-by-step explanation:
X intercepts are the points where a line crosses the x axis. Y intercepts are the points where a line crosses the y axis.
Answer:
A. x-intercept: (-2,0), (2,0)
A. y-intercept: (0,4)
Step-by-step explanation:
If you want to find the x and y-intercept of a line, you need to know its equation. But don't worry, it's not as hard as it sounds. Here are some tips to help you out.
One type of equation is y = mx + c, where m is the slope and c is the y-intercept. This means that the line crosses the y-axis at c. To find the x-intercept, just plug in y = 0 and solve for x. You'll get x = -c/m. Easy peasy!
For example, if the equation is y = 2x + 4, then the y-intercept is 4 and the x-intercept is -2.
Another type of equation is ax + by + c = 0, where a, b and c are constants. To find the x-intercept, plug in y = 0 and solve for x. You'll get x = -c/a. To find the y-intercept, plug in x = 0 and solve for y. You'll get y = -c/b. Piece of cake!
For example, if the equation is 3x + 2y - 6 = 0, then the x-intercept is 2 and the y-intercept is -3.
Now you know how to find the x and y-intercept of a line from its equation.Let us understand the calculations to find the x and y intercept, through the steps in the below table.
Related Questions
The longest runaway at an airport has the shape of a rectangle and an area of 2057000 This runaway is 170 feet wide how long is the runaway ? Is it ft. Or ft to the second power
Answers
Given:
shap of runaway is rectangle that mean area of rectangle is :
\(\text{Area}=\text{length}\times\text{width}\)The width of rectangle is 170 feet
Area of rectangle is 2057000
put all give data is formula of area then:
\(\begin{gathered} \text{Area=length}\times\text{width} \\ 2057000=\text{length}\times170 \\ \text{length}=\frac{2057000}{170} \\ \text{length}=12100 \end{gathered}\)And length in ft that mean runway is 12100 ft long.
2. Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month until
she is finished. Write and solve a linear equation to Aind the total number of pages written at 5
months.
Answers
Answer:
y = 12x + 35
95 pages
Step-by-step explanation:
Let y represent the total number of pages
Let x represent the total number of months
x = 5 (months)
so..
y = 12(5) + 35
y = 60 + 35
y = 95
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 56 meters of fencing available, determine the dimensions that would create the garden of maximum area. You may enter an exact answer or round your answer to the nearest hundredth.
Answers
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
If
f(x) = 2x² + 3x - 6, determine the value of f(2).
Answers
Answer:
8
Step-by-step explanation:
2x² + 3x - 6
plug in x with 2
2(2)^2+3(2)-6
2(4)+6-6
8+6-6
14-6
8
An 8-pack of clay pots costs $15.76. What is the unit price?
Answers
Clay pots =8
Price =$15.76
Then unit price =15.6/8
=$1.95
need help i dont understand
Answers
Answer:
Step-by-step explanation:
it would be "c" because the question asks for the number that makes the inequality true
4x≤ x+3
the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example
4 x -7=-28
-28+3=-25
-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5
5 is not greater than 8 so it doesnt work
11.1(6)+10.5(7)= +73.5
what goes in between = and +
Answers
Hope this helps
plz help will give crown
Answers
Answer: I would have to say 1/21
Step-by-step explanation: Because since there is only 2 aces i believe that drawing one is quite out of the ordinary.
Explanation:
I think it’s 1/21 but I’m not 100% sure
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 2/3 and y-intercept at (0,-2)?
O A. y = 2/3 x - 2
O B. y = -2/3x + 2
O c. y = -2x - 2/3
O D. y = -2/3 = x - 2
Answers
Step-by-step explanation:
A,
because we can use the formula y=mx+c
A car is being compacted into a rectangular solid. The volume is decreasing at a rate of 2 m3/sec. The length and width of the compactor are square, but the height is not the same length as the length and width. If the length and width walls move toward each other at a rate of 0.25 m/ sec, find the rate at which the height is changing when the length and width are 2 m and the height is 1.5 m.
Answers
Using implicit differentiation, it is found that the height is changing at a rate of -0.875 m/sec.
The volume of a rectangular solid of length l, width w and height h is given by:
\(V = lwh\)
Applying implicit differentiation, the rate of change of the volume is given by:
\(\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}\)
In this problem:
Volume is decreasing at a rate of 2 m3/sec, hence \(\frac{dV}{dt} = -2\)The length and width walls move toward each other at a rate of 0.25 m/ sec, hence \(\frac{dl}{dt} = \frac{dw}{dt} = 0.25\)Length and width are 2 m and the height is 1.5 m, hence \(l = w = 2, h = 1.5\)Then:
\(\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}\)
\(-2 = 2(1.5)(0.25) + 2(1.5)(0.25) + 2(2)\frac{dh}{dt}\)
\(4\frac{dh}{dt} = -3.5\)
\(\frac{dh}{dt} = -\frac{3.5}{4}\)
\(\frac{dh}{dt} = -0.875\)
The height is changing at a rate of -0.875 m/sec.
A similar problem is given at https://brainly.com/question/9543179
Which figure is 34 ft
Answers
Answer:
Yup, u need answer choices
Craig has a building block in the shape of a rectangular pyramid. A net of which is shown below.
If a measures 16 cm, b measures 8 cm, and d measures 17 cm, what is the surface area of the rectangular pyramid?
Answers
Looking at the net, we can see that the rectangular pyramid has one rectangular base and four triangular faces.
The dimensions of the rectangular base are a = 16 cm and b = 8 cm, so the area of the rectangular base is A_base = a * b.
The dimensions of the triangular faces are given by the sides of the rectangle and the slant height of the pyramid, which is represented by d = 17 cm. Each triangular face has a base equal to one side of the rectangle and a height equal to d.
The area of each triangular face can be calculated as A_triangle = 0.5 * (base * height) = 0.5 * (a * d) or 0.5 * (b * d).
Since there are four triangular faces, the total area of the triangular faces is A_triangles = 4 * A_triangle.
Finally, the surface area of the rectangular pyramid is the sum of the area of the rectangular base and the area of the triangular faces:
Surface Area = A_base + A_triangles = A_base + 4 * A_triangle.
Substituting the given values:
A_base = 16 cm * 8 cm = 128 cm².
A_triangle = 0.5 * (16 cm * 17 cm) = 136 cm².
A_triangles = 4 * 136 cm² = 544 cm².
Surface Area = 128 cm² + 544 cm² = 672 cm².
Therefore, the surface area of the rectangular pyramid is 672 cm².
I hope this helps! :)
Order the values from least (on top) to greatest (on bottom).
64%
0.65
5/8
Answers
Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%
5/8
64%
0.65
coupon A:$18 rebate on a $95 bicycle couponB:15% off of a $95 bicycle
Answers
Coupon A gives the lower price,is $3.75 less than the price with coupon b
Explanation
Step 1
get the final price
a) Coupon A
$ 18 rebate on a $95 bycicle
so, the final price is
\(\begin{gathered} \text{final price=original price-discoutn} \\ \text{ final price=\$95 -\$18} \\ \text{ final price(a)=\$77} \end{gathered}\)b) 15% off of a $95 bucycle
fint, the value for 15% of $95
\(15\text{ percent=}\frac{\text{15}}{100}=0.15\)so, to know the value for 15% of $95,do:
\(\text{discount}=0.15\cdot95=14.25\)the discount for coupon b is $14.25,
hence the final price is
\(\begin{gathered} \text{ Final price=\$95 -\$14.25} \\ \text{ Final price=80.75} \end{gathered}\)Hence,
\(\text{ Final price(B)=\$ 80.75}\)Step 2
compare the prices(difference)
\(\begin{gathered} \text{Price(a)}=77 \\ \text{Price(b)}=80.75 \\ \text{pric e(b)-price(a)=80.75-77=3.75} \end{gathered}\)I hope this helps you
140. (Continuation) The slope of a line is a measure of how steep the line is. It is calculated by dividing the change in y-coordinates by the corresponding change in x-coordinates betweentwo points on the line: slope = change in y . Calculate the slope of the line that goes change in xthrough the two points (1,3) and (7,6). Calculate the slope of the line that goes through the two points (0, 0) and (9, 6). Which line is steeper?
Answers
Solution:
The slope of a line is given by the following equation:
\(m=\text{ }\frac{Y2-Y1}{X2-X1}\)where (X1, Y1) and (X2, Y2) are points on the line. Taking this into account, we have to:
1. Slope of the line that goes through the two points (1,3) and (7,6):
Note that in this case
(X1,Y1) = (1,3)
(X2, Y2)= (7,6)
replacing this data into the slope-equation, we get:
\(m=\text{ }\frac{Y2-Y1}{X2-X1}\text{ = }\frac{6-3}{7-1}\text{ = }\frac{3}{6}\text{ = }\frac{1}{2}\text{ = 0.5}\)then, the slope of the line that goes through the two points (1,3) and (7,6) is:
\(m_1=\text{ }\frac{1}{2}\text{ = 0.5}\)2. Slope of the line that goes through the two points (0,0) and (9,6):
Note that in this case
(X1,Y1) = (0,0)
(X2, Y2)= (9,6)
replacing this data into the slope-equation, we get:
\(m=\text{ }\frac{Y2-Y1}{X2-X1}\text{ = }\frac{6-0}{9-0}\text{ = }\frac{6}{9}\text{ = }\frac{2}{3}\text{ =0.66}\approx0.7\)
then, the slope of the line that goes through the two points (0,0) and (9,6) is:
\(m_2=\text{ 0.66}\approx0.7\)note that
\(m_2>m_1\)
then, we can conclude that the second line ( the line that goes through the two points (0,0) and (9,6) ) is steeper than that the first line (the line that goes through the two points (1,3) and (7,6) ).
How do you identify a table as linear, exponential, or quadratic?
Answers
The way to identify these tables is through the way that the value of y increases.
How to identify a linear tableA linear table is a table that increases or decreases by a common difference. Check the attachment to see how it increases.
How to identify an exponential tableThis is the table that the value increases with a common ratio. The y value doubles in this case.
How to identify a quadratic tableThis is a table that has a constant second difference.
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0 8. A function f(x) is said to have the jump discontinuity at a point x = a if lim a)x+a+ c) x→a+ f(x) = lim x→a+ f(x) = lim x→a¯ lim X-a f(x). b) lim x→a f(x) = lim x→a¯ _ f(x) f(x) = f(a) d) lim f(x) → +00 x→a+
Answers
The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.
What is jump discontinuity?Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.
According to the given information:
The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.
The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.
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1/3 (2x+3) =3
Please Solve for me ASAP. Thank You!
Answers
Answer:
x=3
Step-by-step explanation:
1/3 (2x+3) =3
Multiply each side by 3
1/3 *3(2x+3) =3*3
2x+3 = 9
Subtract 3 from each side
2x+3-3 = 9-3
2x = 6
Divide each side by 2
2x/2 = 6/2
x = 3
When you solve, first thing you do is multiply 1/3 into 2x + 3 so that the equation becomes 2x/3 + 1 = 3. Then, you can eliminate 1 so it becomes 2x/3 = 2. Finally multiply both sides by 3/2 to eliminate the 2/3 so that leaves us with x = 6/2 or x = 3. We can also double check my answer. 1/3 (2(3) + 3) = 3 will become 1/3 (6 + 3) = 3. Then, 1/3 (9) = 3. And then, 9/3 = 3 and 3 = 3. I hope this helps you, please correct me if I’m wrong!
If the random variable x is normally distributed with a mean equal to .45 and a standard deviation equal to .40, then P(x ≥ .75) is:
Answers
If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.
What is a Z-score?A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.
Given the problem above, we need to find what the z-score is when P(x ≥ .75).
The formula for calculating a z-score is given by:
\(Z=\dfrac{\text{x}-\mu}{\sigma}\)
Where:
x is the value of 0.75\(\mu\) is the mean of 0.45And \(\sigma\) is the standard deviation of 0.40Now,
\(Z=\dfrac{\text{x}-\mu}{\sigma}\)
\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)
\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)
\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)
\(Z=1 - 0.077337\)
\(Z\thickapprox 0.9227\)
Therefore, the z-score of P(x ≥ .75) is 0.9227.
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2,175/12 what is the answer
Answers
Answer: 2,175 divided by 12 will give you 181.25.
i really need help, can someone please help me with this math question
Answers
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
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PLS HELP DUE TODAYY
Luis wants to buy a skateboard that usually sells for $79.79. All merchandise is discounted by 12%. What is
the total cost of the skateboard if Luis has to pay a state sales tax of 6.25%. Round your intermediate
calculations and answer to the nearest cent.
Step-
Answers
$75.14
Explanation:
Got this off of slader, hope it helps :)
Solve the systems of equations: 3x+2y=4
-2x+2y=24
Please show work for how you solved for x and y
Answers
Answer:
The solution to the system of equations is x = 28, y = -40.
Step-by-step explanation:
To solve a system of equations, we need to find values for the variables that will make both equations true.One way to do this is to eliminate one of the variables by making the coefficients equal and opposite, then solve for the remaining variable.For example, in this system of equations, we can eliminate the y variable by adding the two equations together:3x + 2y = 4
-2x + 2y = 24
---------
x = 28
Now that we have an equation in terms of x, we can substitute this value back into either of the original equations to solve for y. Let's substitute it into the first equation:3x + 2y = 4
3(28) + 2y = 4
84 + 2y = 4
2y = -80
y = -40
the solution to the system of equations is x = 28, y = -40.
The sum of a number and 3 is less than or equal to 8
Answers
Answer:
m ≤ 5
Step-by-step explanation:
I will begin by assuming m to be the number.
Then, the sum of m and 3 is: m + 3.
The symbol for "less than or equal to" is ≤.
So we form an inequality, like this :
m + 3 ≤ 8
To find m subtract 3 on each side:
m ≤ 5
Therefore, m ≤ 5.
find the height of right triangular prism
Answers
The side x of the triangular base prism is 0.4 centimetres.
How to find the side of a triangle prism?The diagram above is a triangular prism. The triangular base of the prism is a right triangle. Therefore, the unknown side x can be found using Pythagoras's theorem,
c²= a² + b²
where
a and b are the other legsc is the hypotenuse sideTherefore,
x² = 0.5² - 0.3²
x² = 0.25 - 0.09
x = √0.16
x = 0.4 cm
Therefore,
x = 0.4 centimetres.
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Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
Answers
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Let a random experiment be the casting of a pair of fair six-sided dice and let X equal the minimum of the two outcomes.a) With reasonable assumptions, find the pmf of X.b) Draw a probability histogram of the pmf of X.c) Let Y equal the range of the two outcomes (i.e.. the absolute value of the difference of the largest and the smallest outcomes). Determine the pmf g(y) of Y for y = 0. 1, 2, 3. 4, 5.d) Draw a probability histogram for g(y).
Answers
Therefore with reasonable assumptions, the pmf of X is:
X 1 2 3 4 5 6
P(X) 1/36 10/36 25/72 5/54 5/216 3125/7776
What is probability?Probability is a measure of the likelihood or chance that a particular event will occur, expressed as a number between 0 and 1. An event with a probability of 0 is considered impossible, while an event with a probability of 1 is considered certain. The probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes. It is used extensively in fields such as mathematics, statistics, physics, engineering, economics, and social sciences to model and analyze uncertain events and make predictions about the future.
Here,
a) To find the pmf of X, we need to determine the probability that X takes on each possible value. Since X is the minimum of the two outcomes, the only possible values of X are 1, 2, 3, 4, 5, and 6.
If X = 1, then both dice must show a 1, which has probability (1/6) * (1/6) = 1/36.
If X = 2, then one of the dice must show a 1, and the other can show any number from 2 to 6. There are two ways this can happen: the first die can show 1 and the second can show 2, or the first die can show 2 and the second can show 1. Each of these outcomes has probability (1/6) * (5/6) = 5/36, so the total probability of X = 2 is 2 * (5/36) = 10/36.
Similarly, we can find the probabilities for X = 3, X = 4, X = 5, and X = 6:
P(X = 3) = 3 * (1/6) * (5/6)² = 25/72
P(X = 4) = 4 * (1/6) * (5/6)³ = 5/54
P(X = 5) = 5 * (1/6) * (5/6)⁴ = 5/216
P(X = 6) = (5/6)⁵ = 3125/7776
Therefore, the pmf of X is:
X 1 2 3 4 5 6
P(X) 1/36 10/36 25/72 5/54 5/216 3125/7776
b) To draw a probability histogram of the pmf of X, we can create a bar chart where the height of each bar corresponds to the probability of X taking on the corresponding value. The resulting histogram would have bars of equal width (since X takes on discrete values), and the total area of the bars would be equal to 1 (since the sum of the probabilities is 1). The histogram would look like:
|
|
|
1/36| o
|
|
|
|
|
|
----------------------------------
1 2 3 4 5 6
c) To find the pmf of Y, we need to determine the probability that Y takes on each possible value. Since Y is the absolute value of the difference of the largest and smallest outcomes, the possible values of Y are 0, 1, 2, 3, 4, and 5.
If Y = 0, then both dice must show the same number, which has probability (1/6) * 1 = 1/6.
If Y = 1, then one of the dice must show one more than the other (e.g. one die shows 1 and the other shows 2, or one die shows 2 and the other shows 1). There are 10 such outcomes (5 pairs of numbers that differ by 1), each with probability (1/6) * (1/6) = 1/36. Therefore, the total probability of Y = 1 is 10 * (1/36) = 5
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i'll give brainlist for this !!!!!!!!
Answers
Answer:
The first error in the bill is +8
because when two opposite signs of number are multiplied so the result is always negative.
so,
2 × -4 = -8
instead of 8 their should be -8.
hope this answer helps you dear...take care!
I WILL GIVE BRAINLIETS IF THESE ARE ALL RIGHT
This month the company reported an increase in profit of 25%. If the company made $45,000 last month, how much did they make this month?
A. $5,400
B. $5,625
C. $54,000
D. $56,250
Answers
Answer:
56,250
Step-by-step explanation:
First e turn the persentage into a decimal so we can multiply the 45,000 by it
45,000 x 0.25 = 11,250
Now we ad the total from last month to the amount we got in the last step to figure out how much the company earned this month
11,250 + 45,000 = 56,250
The company earned 56,250 this month :)
Hope this helped!
Have a good day!
Please rate and mark brainliest!!
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