What is the solution of the system? Use substitution.4x – y = 5
3x – 7 = 2
A) (3, 7)
B) (7, -7)
C) (-3, 7)
D) (3/4, 2/5

Answers

Answer 1
Answer:

Hi

4x-y=5

3x-7=2

We need to solve 3x-7=2 for x

Let's start by adding 7 to both sides

3x-7+7=2+7

3x=9

Now just divide both sides by 3 so we can find the value for x

3x/3=9/3

x=3

Now substitute 3 for x in 4x-y=5

4x-y=5

(4)(3)-y=5

-y+12=5

Now add -12

-y=12-12=5-12

-y=-7

Divide both sides by -1 so we can eliminate the negative sign

-y/-1=-7/-1

y=3

The answer is A

(3,7)

I hope that's help:0


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What is the value of x?
x = [? ]°
Enter

Answers

Answer:

x =  (60)/(2)  = 30

Solve x² + 9x + 9 = 0.0-9±3√5
2
9±3√5
2
O-9± √117
2
9± √117
2

Answers

Answer: (-9 ± 3√5) / 2

Step-by-step explanation:

Since our equation is in the form of ax² + bx + c = 0, we'll use the quadratic formula to solve the equation, plugging our values in:

(-9 ± √9²-4(1)(9)) / 2(1)
(-9 ± √81 - 36) / 2
(-9 ± √45) / 2

Here, we can simplify √45 by finding pairs of factors that equal 45, and have one of the factors be able to be square rooted:
(-9 ± √9·√5) / 2
(-9 ± 3√5) / 2

I hope this helps! :)

if a storm windows has an area of 315 square inches, what are the dimensions if the window is 6 inches higher than it is wide (w x h)

Answers

Answer:
length of window = 21 in
width of window = 15 in

Explanation:
Assume that the width of the window is w
We are given that the length is 6 in longer than the width
This means that:
length of window = w + 6

Area of rectangle is calculated as follows:
area = width * length
area = w(w+6)
315 = w(w+6)
315 = w² + 6w
w² + 6w - 315 = 0
(w-15)(w+21) = 0

This means that:
either w-15=0 .......> w = 15 in .......> accepted solution
or w+21 = 0 .........> w = -21 in .......> rejected as width of window cannot be negative

Now, we know that:
length = width + 6
length = 15 + 6
length = 21 in

Based on the above calculations:
length of window = 21 in
width of window = 15 in

Hope this helps :)
hw=315\n h=w+6\n (w+6)w=315\n w^2+6w-315=0\n w^2+21w-15w-315=0\n w(w+21)-15(w+21)=0\n (w-15)(w+21)=0\n w=15 \vee w=-21\n\n h=15+6=21\n\n\ w=15 \ in\n h=21\ in\n

The sale price of shrimp at a local grocery store is $1.15 for the first ounce and $0.95 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?A - y = 1.15x + 0.95
B - y = (0.95 + 1.15)x
C - y = 0.95x + 1.15
D - y = 0.95(x - 1) + 1.15

Answers

C. y=0.95x+1.15... because 1.15 is the initial cost and 0.95 multiplied by x means x is the number of ounces you purchase after the first.
so say you purchase 5 more ounces then your equation would be 
y=(0.95*5)+1.15
but in this case THE ANSWER IS C!

ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R' under this translation. A' (4, −2); R' (2, −1) A' (−2, 2); R' (2, −2) A' (2, −1); R' (4, −2) A' (−1, 0); R' (−2, 2)

Answers

For the answer to the question above asking to find the coordinates of A' and R' under this translation if ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2).
The answer is to the question above is 
A' (2, -1); R' (4, -2) 
I hope my answer helped you. Have a nice day!

Answer:

A' (2, -1); R' (4, -2)

Step-by-step explanation:

Pre-calc
x - 3 is a factor of P(x) = x^3 – 7x² +15x-9
A. True
B. False

Answers

A. True
Explanation-

Let p(x) = x^3 – 7x^2 – 15x – 9

For checking that (x – 3) is a factor of p(x), we find : p(3)

p(3) = (3)^3 – 7(3)^2 + 15(3) – 9

= 27 – 63 + 45 – 9

= 72 – 72

= 0

Hence, (x – 3) is a factor of p(x).

By division of p(x) by x – 3, we get the quotient

= x^2 – 4x + 3

∴ x^3 – 7x^2 + 15x – 9

= (x – 3)(x^2 – 4x + 3)

= (x – 3)(x – 3)(x – 1)

= (x – 3)^2(x – 1)