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Snezhnost [94]
3 years ago
10

The vertex of the graph of y = -4(x + 3)2 + 2 is

Mathematics
1 answer:
saw5 [17]3 years ago
5 0

If the first 2 is squared and I'm assuming it is, then the vertex is (-3, 2)

if not, then it is not a conic equation and does not have a vertex.

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4x + 3(4x + 7) = 4(7x + 3)​
Natasha2012 [34]

Answer: 1

Step-by-step explanation:4x + 3(4x + 7) = 4(7x + 3) + -3

Reorder the terms:

4x + 3(7 + 4x) = 4(7x + 3) + -3

4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3

4x + (21 + 12x) = 4(7x + 3) + -3

Reorder the terms:

21 + 4x + 12x = 4(7x + 3) + -3

Combine like terms: 4x + 12x = 16x

21 + 16x = 4(7x + 3) + -3

Reorder the terms:

21 + 16x = 4(3 + 7x) + -3

21 + 16x = (3 * 4 + 7x * 4) + -3

21 + 16x = (12 + 28x) + -3

Reorder the terms:

21 + 16x = 12 + -3 + 28x

Combine like terms: 12 + -3 = 9

21 + 16x = 9 + 28x

Solving

21 + 16x = 9 + 28x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-28x' to each side of the equation.

21 + 16x + -28x = 9 + 28x + -28x

Combine like terms: 16x + -28x = -12x

21 + -12x = 9 + 28x + -28x

Combine like terms: 28x + -28x = 0

21 + -12x = 9 + 0

21 + -12x = 9

Add '-21' to each side of the equation.

21 + -21 + -12x = 9 + -21

Combine like terms: 21 + -21 = 0

0 + -12x = 9 + -21

-12x = 9 + -21

Combine like terms: 9 + -21 = -12

-12x = -12

Divide each side by -12.

x = 1

Simplifying

x = 1

5 0
3 years ago
In the diagram, the distance from A to B is 4 inches. Find the actual distance if the scale is 1 in:6 mi
aksik [14]
1 inch = 6 miles
4 inches = ? miles

1 = 6
2 = 12
3 = 18
4 = ?
6 0
3 years ago
Please help me will mark brainliest!
aliina [53]
When adding fractions all denominators must be the same. You multiple 2/3 by 4 so it becomes 8/12 and the same with the others. The answer is 19/12
4 0
2 years ago
Read 2 more answers
In 1995, the federal government paid off one-third
SSSSS [86.1K]

The expression that represents the amount that was not paid off is \text { Debt amount that was not paid off }=\text { original amount of debt }- \frac{1}{3}\text { of original amount of debt }

<u>Solution:</u>

Given, In 1995, the federal government paid off one-third of its debt. If the original amount of the debt was  $ 4.920,000,000,000

We have to find which expression represents the amount that was not paid off

Now, we know that, amount that is not paid off = total debt – paid amount

\text { Debt amount that is not paid off }=\text { original amount of debt }-\frac{1}{3}\text { of original amount of debt }

\begin{array}{l}{=\text { original amount of debt }\left(1-\frac{1}{3}\right)} \\\\ {=\text { original amount of debt } \times \frac{3-1}{3}} \\\\ {=4,920,000,000,000 \times \frac{2}{3}} \\\\ {=1,640,000,000,000 \times 2=3,280,000,000,000}\end{array}

Hence the expression and value of debt amount that is not paid off is found

8 0
3 years ago
Consider y=(x+3)^2-1
Rom4ik [11]
The coefficient of x^2 is positive so it will have a minimum value

Its B
7 0
2 years ago
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