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3 years ago

8х + 7y= -5 X= -3y - 7

Mathematics

2 answers:

GrogVix [38]3 years ago

4 0

Answer:

x = 2

y = -3

Step-by-step explanation:

Step 1: Write systems of equation

8x + 7y = -5

x = -3y - 7

Step 2: Solve for y

Substitute 2nd equation into 1st: 8(-3y - 7) + 7y = -5
Distribute 8: -24y - 56 + 7y = -5
Combine like terms: -17y - 56 = -5
Add 56 to both sides: -17y = 51
Divide both sides by -17: y = -3

Step 3: Solve for x

Substitute y to find x: x = -3(-3) - 7
Multiply: x = 9 - 7
Subtract: x = 2

Step 4: Check

Plug in x, y into an original equation to verify it's a solution.

2 = -3(-3) - 7

2 = 9 - 7

2 = 2

Inessa05 [86]3 years ago

4 0

Answer:

x=2 y=-3

Step-by-step explanation:

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Which set of steps will translate f(x)=6x to g(x)=6x-5-7

Maurinko [17]

THIS IS THE COMPLETE QUESTION BELOW;

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Shift f(x) = 6x five units to the left and seven units up.

Shift f(x) = 6x five units to the right and seven units down.

Shift f(x) = 6x seven units to the right and five units up.

Shift f(x) = 6x seven units to the left and five units down.

Answer:

Shift f(x)=6x five units to the left and seven units down.

Step-by-step explanation:

We are told to translate the function below

f(x) = 6x to g(x) = 6x – 5 – 7

Which means the process to translate f(x) into g(x) is required.

According to the translation rule

f(x)-------->f(x)+a

If a<0 it shift to downward

If a>0 it shift to upward

Then we have

(X,y) ----->((x - 5, y)

There is a shift by x coordinates towards left by 5 units

then we would have the function as

f'(x) = 6(x-5)

Following the translation rule there is a shift by the function by 7 units downward direction then we have

(x,y) ----->(x,y -7)

Then we have g(x) = 6x – 5 – 7 as our translation product.

Therefore, shift f(x)=6x five units to the left and seven units down.

7 0

3 years ago

1) Ethan put $700 into a Certificate of Deposit (CD) account that earns 1.8% interest each year. What will the interest of the C

Inga [223]

Answer:

The interest After 6 years is $ 79.03

Step-by-step explanation:

Given as :

The principal amount deposited in account = $ 700

The rate interest earn = 1.8 % per year

The Time period = 6 years

From Compounded Method

Amount = Principal × $(1 +\dfrac{\textrm Rate}{100})^{\textrm Time$

Or, Amount = $ 700 × $(1 +\dfrac{\textrm 1.8}{100})^{\textrm 6$

Or, Amount = $ 700 × $1.018^{6}$

Or, Amount = $ 700 × 1.1129

∴ Amount = $ 779.03

Now , Interest = Amount - Principal

I.e Interest = $ 779.03 - $ 700 = $ 79.03

Hence The interest After 6 years is $ 79.03 , Answer

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3 years ago

Read 2 more answers

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vladimir2022 [97]

Find the slope of line 1
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Find the slope-intercept form of equation, with m = 1/3 and (-9,5)
General formula
y - y₁ = m(x - x₁)

Input the number to the formula
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gogolik [260]

Answer:

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Step-by-step explanation: