Which equation is a function?O A. X = -2
O B. Y= 2x – 9
O C. y² = x - 2
O D. x² + y² = 9

Answers

Answer 1

Answer:

the answer is B -- no matter the x factor y should be single

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Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two polynomials. What is the sum of these x -coordinates? (If there is only one point of intersection, give the corresponding x -coordinate.)

Answers

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are $x=(2)/(9)\approx0.2222,\:x=-(1)/(3)\approx-0.3333$

The sum of these x -coordinates is $(2)/(9)+\left(-(1)/(3)\right)=-(1)/(9)$

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, $3x + 27x^2=2$ and we solve for x

$3x+27x^2-2=2-2\n27x^2+3x-2=0\n\left(27x^2-6x\right)+\left(9x-2\right)\n3x\left(9x-2\right)+\left(9x-2\right)\n\left(9x-2\right)\left(3x+1\right)=0$

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

$9x-2=0\n9x=2\nx=(2)/(9)$

$3x+1=0\n3x=-1\nx=-(1)/(3)$

The solutions are:

$x=(2)/(9)\approx0.2222,\:x=-(1)/(3)\approx-0.3333$

The sum of these x -coordinates is

$(2)/(9)+\left(-(1)/(3)\right)=-(1)/(9)$

We can check our work with the graph of the two polynomials.

Ivanna drove 696 miles in 12 hours. At the same rate, how many miles would she drive in 7 hours?

Answers

Answer:

406

Step-by-step explanation:

We need to find the unit rate or how many miles can they drive in 1 hour. So we do 696/12 which is 58. So we have 58 miles in 1 hour. Now we multiply the number of desired hours, 7 and multiply it by 696. Which is 406

Sky needs $6700 for school and has two options. Option A: 5 years at 5% interest with monthly payments of $126.44 Option B: 6 years at 3.5% interest with monthly payments of $103.30 Calculate the total payback on each loan and calculate how much Sky will save by choosing option B.

Answers

Answer:

148.80

Step-by-step explanation:

Take 126.44 multiply by 60 months equals 7586.40

Take 103.30 multiply by 72 months equals 7437.60

Subtract 7437.60 from 7586.40

Final answer:

The total payback for Option A would be $7,586.4 and for Option B it would be $7,437.60. The difference of $148.8 indicates the savings Sky would have by choosing Option B over Option A.

Explanation:

Firstly, to calculate the total payback for each loan, you multiply the number of payments by the monthly payment amount. For Option A, that's 5 years times 12 payments per year, times a monthly payment of $126.44. Which gives us a total payback of 5 * 12 * 126.44 = $7,586.4. Next, calculate the payback for Option B in the same way: 6 years times 12 payments per year, times a monthly payment of $103.30. Which gives us 6 * 12 * 103.30 = $7,437.60.

Then, we subtract the total payback of Option B from that of Option A to find the savings: $7,586.4 - $7,437.60 = $148.8. So, by choosing option B, Sky would save $148.8.

Learn more about Loan Comparison here:

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The model represents an equation . What is the solution for this equation . Please help I’ll mark you as brainliest if correct

Answers

Answer:

x=3

Step-by-step explanation:

4x+6=18

4x=18-6

4x=12

x=12÷4

x=3

Find the missing angle
measures marked with
question marks.

Answers

Answer:

First one- The ? across from 70 degrees is 70 degrees, and the ones on the side are both 110 degrees.

The second one- The one across 53 degrees is 53 degrees and the ones are the side are both 127 degrees.

Step-by-step explanation:

Take the shown angle and subract that by 180 degrees to get your answer for the missing angles. And the one across from the shown angle is the same number.

Hope this helped im not sure if its right though.

Question 10 of 321 Point
The standard form of the equation of a parabola is
y=1x2 - 4x +21. What is the vertex form of the equation?
O A. y =(x+4)2 +13
O B. y=2(x+4)2 +21
C. y = 2(x-4)2 + 21
D. y = -(x-4)? +13