3x + 14 / 8 = -5
And also need to do the check ♀️
Answers
Hope this helps
Related Questions
Amanda can choose Plan A or Plan B for her long distance charges. For each plan, cost (in dollars) depends on minutes used
Plan A
284
1
26-
24
Plan B
22
20-
18
Cost
(in dollars)
16-
14
12
10
8
6-
4-
2
25 50
75 100 125 150 175 200 225 250 275 300 325 350 375
Minutes used (per month)
Х
5
(a) If Amanda makes 150 minutes of long distance calls for the month, which plan costs less?
O Plan A
O Plan B
How much less does it cost than the other plan?
sl
(b) For what number of long distance minutes do the two plans cost the same?
If the time spent on long distance calls is less than this amount, which plan costs more?
O Plan A
O Plan B
Continue
Answers
Step-by-step explanation:
A est la response correcte
PLEASE HELP IM STUCK
Answers
Answer:
The 18th term would be "-70"
Answer:
-70
Step-by-step explanation:
1. If we are told that (x+4)(x+7)=0, then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
2. If we are told that (3x-7)(2x+5)=0 then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
3.We want to solve the equation x^2-3x-40=0
First factor x^2-3x-40: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
4.We want to solve the equation 3x^2-11x-42=0
First factor 3x^2-11x-42: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
5.We want to solve the equation 10x^2+9x+2=0
First factor 10x^2+9x+2
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
Answers
1. x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. 3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. (x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
How to determine the values1. (x+4)(x+7)=0
We have that;
Zero product property;
x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. (3x-7)(2x+5)=0
We have that;
Zero product property ;
3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x² -3x - 40=0
x² -8x + 5x - 40 = 0
factorize the common multipliers
x(x - 8) + 5(x - 8) = 0
Zero product property;
x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. 3x² - 11x - 42=0
3x² +7x - 18x - 42 = 0
Factorize further
x(3x + 7) - 6(3x + 7) = 0
Zero product property;
(x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 10x² + 9x + 2 = 0
10x² + 5x + 4x + 2 = 0
Factorize
5x( 2x + 1) + 2 (2x + 1) = 0
Zero product property;
5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
Thus, the zero product property states that the product of two non-zero elements is not zero
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"Find an expression for the area under the
graph of f as a limit. Do not evaluate the limit.
f(x) =
6
x
, 1 ≤ x ≤ 12
\[ A=\lim _{n \rightarrow \infty} R_{n}=\lim _{n \rightarrow \infty}\left[f\left(x_{1}\right) \Delta x+f\left(x_{2}\right) \Delta x+\ldots+f\left(x_{n}\right) \Delta x\right] \] Use this definition to find an expression for the area under the grap f(x)=
6
x
,1≤x≤12 A=lim
n→[infinity]
∑
i=1
n
{(1+
n
1i
)(
6
1
)}(
n
1
)
Answers
The area under the graph of f as a limit is the Riemann integral of f over [a, b].
Therefore, the definite integral of f over [a, b] is expressed as:
∫ [a, b] f(x) dx = lim n→∞∑ i=1 n f(xi)Δx, where Δx = (b-a)/n, and xi = a+iΔx.
By substituting f(x) = 6/x, and [a, b] = [1, 12], we get the expression for the area under the graph as follows:
∫ [1, 12] 6/x dx =
lim n→∞∑ i=1 n f(xi)Δx
lim n→∞∑ i=1 n (6/xi)Δx
lim n→∞∑ i=1 n (6/[(1+iΔx)])Δx
lim n→∞∑ i=1 n [(6Δx)/(1+iΔx)]
We are given that the function f(x) = 6/x, 1 ≤ x ≤ 12. We need to find an expression for the area under the graph of f as a limit without evaluating the limit. This can be done by using the definition of the Riemann integral of f over [a, b].
Thus, we have found an expression for the area under the graph of f as a limit without evaluating the limit.
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Calculate how much interest is earned on a deposit of $10000 after 10 years if interest was paid at 4.5% per year compounded monthly. Layout all work.
Answers
The interest earned on a deposit of $10,000 after 10 years with an interest rate of 4.5% compounded monthly is approximately $4,842.43.
To calculate the interest earned on a deposit of $10,000 after 10 years with an interest rate of 4.5% per year compounded monthly, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount (including both principal and interest)
P is the principal amount (initial deposit)
r is the annual interest rate (as a decimal)
n is the number of times interest is compounded per year
t is the number of years
In this case, the principal amount (P) is $10,000, the annual interest rate (r) is 4.5% or 0.045 as a decimal, the interest is compounded monthly (n = 12), and the time period (t) is 10 years.
Plugging these values into the formula, we have:
A = 10000(1 + 0.045/12)^(12*10)
Simplifying the exponent and evaluating the expression:
A = 10000(1 + 0.00375)^(120)
A = 10000(1.00375)^(120)
Using a calculator, we find:
A ≈ 14842.43
The final amount (A) after 10 years is approximately $14,842.43.
To calculate the interest earned, we subtract the principal amount from the final amount:
Interest = A - P
Interest = 14842.43 - 10000
Interest ≈ 4842.43
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Suppose a golf club company has designed a new club, which it claims will allow a professional golfer to make a hole in 120% of the time and an amateur golfer 10% of the time. Professional an amateur golfers sign up to play 5 games of 18 holes each
Answers
A professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6.
First, let's define some variables to represent the probabilities of making a hole for a professional golfer and an amateur golfer:
Let p be the probability that a professional golfer makes a hole with the new club.
Let q be the probability that an amateur golfer makes a hole with the new club.
According to the company's claims, we know that:
p = 1.2q (since the professional golfer makes a hole 120% of the time, which is 1.2 times the probability of the amateur golfer making a hole)
Next, we need to determine the probability of each golfer making a hole during one round of golf, which consists of 18 holes. Let's assume that each hole is independent of the others, meaning that the outcome of one hole does not affect the outcome of another. In that case, the probability of making at least one hole in a round can be calculated using the complement rule:
The probability that a professional golfer makes at least one hole in a round is 1 minus the probability that the golfer misses every hole: \(1 - (1-p)^{18} .\)
The probability that an amateur golfer makes at least one hole in a round is\(1 - (1-q)^{18} .\)
Now, let's use these probabilities to calculate the expected number of holes each golfer will make in 5 rounds of golf:
The expected number of holes made by a professional golfer in 5 rounds is 5 times the expected number of holes made in one round, which is \((1 - (1-p)^{18} )\times18.\)
The expected number of holes made by an amateur golfer in 5 rounds is 5 times the expected number of holes made in one round, which is \((1 - (1-q)^{18} )\times18.\)
We can simplify these expressions using the relationship between p and q:
The expected number of holes made by a professional golfer in 5 rounds is \(518(1 - (1-1.2q)^{18} ).\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-q)^{18} ).\)
We can now evaluate these expressions using the values of p and q:
\(p = 1.2q, so q = p/1.2\)
Substituting this into the expressions above, we get:
The expected number of holes made by a professional golfer in 5 rounds is\(518(1 - (1-1.2(p/1.2))^{18} ) = 518(1 - (1-p)^{18} ).\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-p/1.2)^{18} ).\)
Finally, we can evaluate these expressions using the given probabilities:
The expected number of holes made by a professional golfer in 5 rounds is\(518(1 - (1-1.2q)^{18} ) = 518(1 - (1-1.2(0.1))^{18} ) = 40.7.\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-q)^{18} ) = 518(1 - (1-0.1/1.2)^{18} ) = 1.6.\)
So according to these calculations, we would expect a professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6
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there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random, what is the probability they have an average weight of greater than 10 pounds and less than 15 pounds?
Answers
The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134
In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.
We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.
Given, μ = 12, σ = 8, n = 4
P(X > 8)
= P(z > (8 - 12 / 8/√4))
= P(z > -1)
= 1 - P(z ≤ -1)
= 1 - [1 - P(z ≤ 1)]
= P(z ≤ 1)
= 0.84134
Therefore, the required probability is 0.84134
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4. Theresa wants new carpeting for her family room. Her family room is a 12 ft by 21 ft rectangle. How much carpeting does she need to buy to cover her entire family room?
Answers
Answer:
252 square
Step-by-step explanation:
Find the missing value in the table.
A. -3
B. 3
C. 7
D. 4
Answers
Answer:
The answer would be c.7
Step-by-step explanation:
They all have a difference of 2.
-3-2 = -5
0-2 = -2
1-2 = -1
and so on
Start at 4 create a pattern that multiplies each number by 5 stop when you have 5 numbers
Answers
The pattern that multiplies each number by 5 starting at 4 and stopping after 5 numbers is:4, 20, 100, 500, 2500.
How to get the solution?
Given that we start at 4, and we are to multiply each number by 5, we have;
4 × 5 = 20
That gives us the second number.
To get the third number, we multiply 20 by 5 again.
20 × 5 = 100
To get the fourth number, we again multiply the third number by 5.
100 × 5 = 500
Finally, we multiply the fourth number by 5 to get the fifth number.500 × 5 = 2500.
Therefore, the pattern that multiplies each number by 5 starting at 4 and stopping after 5 numbers is:4, 20, 100, 500, 2500.
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The distance between points A and B is?
Answers
Answer:
√85
Step-by-step explanation:
A (-3 , 4) B (4 , -2)
AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85
AB = √85
Can someone please help me with this Trig question pls??
Answers
Using the unit circle, the coordinates of point A are given as follows:
(0.87, 0,5).
What is the unit circle?For an angle \(\theta\) the unit circle is a circle with radius 1 containing the following set of points: \((\cos{\theta}, \sin{\theta})\).
For this problem, the angle is:
\(\theta = \frac{\pi}{6}\)
The trigonometric measures are:
\(\cos{\theta} = \frac{\sqrt{3}}{2} = 0.87\)\(\sin{\theta} = \frac{1}{2} = 0.5\)Hence the coordinates of point A are given as follows:
(0.87, 0,5).
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whoever answeres this question will get brainly
Answers
Answer:
the answer might be the 3 option if not then 1
Step-by-step explanation:
hope this helps and tell me if im wrong:)
What is one solution to the systems of linear equations?
Answers
Answer:
Graph 1. (4, 4).
Graph 2. (4, -4).
Step-by-step explanation:
The solution is the point where the lines intersect.
When evaluating square roots we use the _____ root. negative real neutral positive
Answers
Answer:
positive
Step-by-step explanation:
When evaluating square roots we use the positive (or principal) root.
Un camión puede cargar un máximo de 4,675 libras. Se busca en el trasportar cajas de 150
libras y un paquete extra de 175 libras. ¿Cuantas cajas puede transportar el camión?
Answers
The number of bags that the truck can move is given as follows:
31 bags.
How to obtain the number of bags?The number of bags that the truck can move is obtained applying the proportions in the context of the problem.
The total weight that the truck can carry is given as follows:
4675 lbs.
Each bag has 150 lbs, hence the number of bags needed is given as follows:
4675/150 = 31 bags (rounded down).
The remaining weight will go into the extra package of 175 lbs.
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how many times did lerena choose a golf ball from the bucket?
Answers
Answer:
16 times and brainliest please!!!
Step-by-step explanation:
Let x represent the number of times Lorena chose a golf ball from the bucket. Since she chose a blue golf ball 9 times, the ratio of blue golf balls to total golf balls chosen is 9:x. Lorena predicts that if she chooses a golf ball from the bucket 160 times, 90 will be blue. So the ratio of blue golf balls to total golf balls chosen in this case is 90:160.
Since the ratios must be equal, we can write the equation 9/x = 90/160 and solve for x. Solving this equation, we find that x = 16.
So Lorena chose a golf ball from the bucket 16 times.
f(x,y,z)=Σ(2,3,5,7) Make a circuit for f using only NAND or NOT gates. Draw a truth table.
Answers
As we can see from the above truth table, the output of the function f(x,y,z) is 0 for all the input combinations except (0,0,0) for which the output is 1.
Hence, the circuit represented by NAND gates only can be used to implement the given function f(x,y,z).
The given function is f(x,y,z)= Σ(2,3,5,7). We can represent this function using NAND gates only.
NAND gates are universal gates which means that we can make any logic circuit using only NAND gates.Let us represent the given function using NAND gates as shown below:In the above circuit, NAND gate 1 takes the inputs x, y, and z.
The output of gate 1 is connected as an input to NAND gate 2 along with another input z. The output of NAND gate 2 is connected as an input to NAND gate 3 along with another input y.
Finally, the output of gate 3 is connected as an input to NAND gate 4 along with another input x.
The output of NAND gate 4 is the output of the circuit which represents the function f(x,y,z).Now, let's draw the truth table for the given function f(x,y,z). We have three variables x, y, and z.
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GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 30pts-
Answers
Answer:
d
Step-by-step explanation:
Two teams, A and B are about to play a game. Previous records show that A has an 80% chance of winning, while 3 has a 20% of winning
Spectators can either choose to buy regular tickets or special tickets. A spectator with a special ticket will receive a refund of 52 fteam A wins
and a refund of sifteam wins. How much extra, minimally, should the special ticket cost to cover the expected value of the refunds offered
Answers
I hope this helps!
Answer:
$16.00
Step-by-step explanation:
Does anybody know how to find area of a triangle?
Answers
Answer:
Step-by-step explanation:
area = 1/2 x base x height
Explanation:
Hello, I’m here to help you!➡ Pythagorean Theorem: a² + b² = c²
➡ We eliminate D - So the Pythagorean theorem is used for right triangles and that equation is a² + b² = c² and answer D doesn't have anything squared.
➡ Hypotenuse is what letter in the theorem? It is Letter C!
➡ 11² + 60² = 3721
The correct Option is C.Hope this helps! :)
−5b + 5 ≤ −75 i don't understand this and i have to put it on a number line to
Answers
Step by step
-5b + 5 ≤ -75
Subtract 5 from both sides to isolate b
-5b + 5 -5 ≤ -75 -5
Simplify
-5b ≤ -80
Divide both sides by -5 to solve for b
-5/-5 b ≤ -80/-5
Simplify and switch the sign since that’s the rule when you divide by a negative with inequalities
b ≥ 16
Your number line is attached
Caroline wants to buy 100 g of spice mix from a British or French website.
The conversion rate is €1 = £0.85
What is the price, including delivery costs, that Caroline would pay for the spice mix from the cheaper website? Give your answer in pounds (£).
British website: £0.90 for 25 g Free delivery.
French website: €1.20 for 50 g €0.80 delivery per order.
Answers
The website which is cheaper for Caroline to buy the spice mix is French website.
Given data ,
Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.
British website:
Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60
Since the British website offers free delivery, the total cost remains £3.60.
French website:
Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40
Delivery cost = €0.80
On simplifying the equation , we get
To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.
Price in pounds = €2.40 * £0.85 = £2.04
Delivery cost in pounds = €0.80 * £0.85 = £0.68
Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72
Comparing the total costs:
British website: £3.60
French website: £2.72
Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.
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Josh runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answers
Answer:
6 / 55 = x / 44
44*6/55= x
x = 4.8 miles
Step-by-step explanation:
triangle \triangle abc△abctriangle, a, b, c is reflected across line nnn to create \triangle a'b'c'△a ′ b ′ c ′ triangle, a, prime, b, prime, c, prime.
Answers
Given the triangle, △ABC, reflected across line n to create △A'B'C', where A, B, C are the vertices of △ABC and A', B', C' are the vertices of △A'B'C'.
The correct option is (A).
Hence, the reflected image of △ABC is congruent to △A'B'C'. If two triangles are congruent, then the corresponding angles and sides are congruent. The corresponding sides of △ABC and △A'B'C' are congruent to each other. That is, AB ≅ A'B', BC ≅ B'C' and AC ≅ A'C'. The corresponding angles of △ABC and △A'B'C' are congruent to each other. That is,∠A ≅ ∠A', ∠B ≅ ∠B' and ∠C ≅ ∠C'.
In the triangle, △ABC, the point of intersection of the medians is known as centroid. The centroid is the point of intersection of the medians of the triangle. Similarly, △A'B'C' also has a centroid. Let G be the centroid of △ABC and G' be the centroid of △A'B'C'. The centroid divides the median in a 2:1 ratio. Let D be the midpoint of BC, E be the midpoint of AC and F be the midpoint of AB. Then, in △ABC, the medians AD, BE and CF intersect at G. Similarly, in △A'B'C', the medians A'D', B'E' and C'F' intersect at G'.Hence, the correct option is (A) all sides and angles are congruent to each other.
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Solve the augmented matrix by elementary row operations. 9. (4 points) Let A and B be 3 by 3 matrices with det (A) = 3 and det (b) = 5. Find the value of det (AB).
Answers
The value of determinant of the matrix det (AB) is 15.
Given matrices A and B are 3 by 3 matrices with
det (A) = 3 and
det (b) = 5.
We need to find the value of det (AB).
Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.
By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].
Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.
The determinant of AB can be calculated as det(AB) = det(A) × det(B)
= 3 × 5
= 15.
Conclusion: The value of det (AB) is 15.
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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)
=> det(AB) = 3 × 5
=> det(AB) = 15.
Hence, the value of det(AB) is 15.
The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:
det(AB) = det(A)det(B).
Given that: det(A) = 3
det(B) = 5
Now, let C = AB be the matrix product. Then,
det(C) = det(AB).
To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.
Given matrices A and B are: Matrix A and B:
[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]
= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].
We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.
det(A) = 3.
Therefore, det(AB) = det(A)det(B)
= 3 × 5
= 15.
Conclusion: Therefore, the value of det(AB) is 15.
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Which binomial is a factor of 9x2 – 64? 3x – 8 9x – 32 3x 32 9x 8
Answers
The binomial factor of the equation \(\rm 9x^2 -64\) is 3x-8.
What is a binomial factor?The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials.
Factoring binomials means breaking down a binomial expression into its simplest form.
Binomials are algebraic expressions with two terms.
The given binomial is;
\(\rm 9x^2 -64\)
The binomial is determined in the following steps given below.
\(\rm =9x^2 -64\\\\= (3)^2x^2-8^2\\\\= (3x)^2-8^2\\\\= (3x-8)(3x+8)\)
Hence, the binomial factor of the equation \(\rm 9x^2 -64\) is 3x-8.
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How do you solve #27-30?
Answers
y −y1 = m(x − x1)
Therefore, equation of a line passing through a point
(4, − 1) and having a slope of −3 is:
3x + y = 11
please help I need the answer with the explanation now
Thank you:)
Answers
Answer:
1) x+2x+x+3 = 23
4x+3=23
4x=20
x=5
2) a_ radius × radius × pi = the area
4×4×3= 48
b_ diameter × pi= the circumfrence
8×3 = 24
3) a) 34_10=24
24÷3=8
b) _24_(_48)= 24
4) a) 2x=9_5
2x=4 => x=2
b)X/3 =12
x= 36
5) x. _2.
y. 3_(_2)=5
x. 0
y. 3_0=3
x. 3
y. 3_3=0
i put them here too
suppose that in a utah election the republican party wins 57% of the vote in congress while the democratic party wins 43% of the vote. in a system with single representative districts, which best describes how the seats would be distributed?
Answers
In a system with single representative districts, the seats would be distributed based on the majority winner in each district.
Each district will have one representative, and the party that wins the majority of the vote in that district will get the seat.
In this scenario, the Republican party wins 57% of the vote, which means they would likely win the majority of the seats in Congress. The Democratic party wins 43% of the vote, so they would likely have fewer seats compared to the Republicans.
In a single representative district system, the party that wins the majority of the vote in each district will have the most seats in Congress. In this case, the Republican party would likely have more seats than the Democratic party.
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