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3 years ago

Expand and simplify (x + 1)(x + 7)

Mathematics

1 answer:

zheka24 [161]3 years ago

7 0

Answer: 10x + 7

Step-by-step explanation:

multiply everything

2x + 7x + x + 7

combine like terms

10x + 7

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2. On Monday, I bought 3 dogs and 5 cats for a total cost of $8.25. On Tuesday, I bought 3 dogs and 6 cats for a total cost of $

Ratling [72]

I don’t know if you need to round, but you can do so on the answer for mondays if necessary

On Monday, the animals cost $1.03125.
On Tuesday, the animals cost exactly $1.

7 0

3 years ago

0.0338 divided by 1.3

maxonik [38]

0.0338 divided by 1.3 equals 0.026

7 0

3 years ago

Read 2 more answers

What percent of 80 is 25

JulsSmile [24]

Answer: 31.25%

Step-by-step explanation: To answer the question what percent of 80 is 25, we translate the question into an equation.

So we have "what percent" that's x, "of 80" means times 80, "is 25" = 25.

Now to solve for x, since x is being multiplied by 80, we need to divide by 80 on both sides of the equation. On the left side of the equation the 80's cancel and we have x and on the right side of the equation, we have 25 ÷ 80 which gives us 0.3125. Now, remember that we want to right our answer as a percent so to write 0.3125 as a percent, we move the decimal point 2 places to the right and we get 31.25%.

Therefore, 31.25% of 80 is 25.

8 0

3 years ago

If p and q vary inversely and pp is 23 when q is 6, determine q when p is equal to 69.

Lina20 [59]

Answer:

Answer is q = 2

Step-by-step explanation:

First make the equation with a constant so p=k/q

then substitute q to 6 and p to 23.

Then you have 23=k/6 and to find k multiply both sides to get k=138

next substitute p as 69=138/q then multiply q on both sides to get 69xq=138 and then divide 69 to 138 go get q which is 2

Like if it helped!

4 0

1 year ago

Find the vertex of the graph of f(x)=-4(x-1)(x+5)

madreJ [45]

The vertex of the graph is (h, k) = (- 2, 36).

<h3>How to find analytically the vertex of a quadratic equation</h3>

In this question we have a quadratic equation of the form f(x) = a · (x - r₁) · (x - r₂) and we need to transform the expression into its vertex form of determine the coordinates of the vertex. First, we need to exprand the expression:

f(x) = - 4 · (x - 1) · (x + 5)

f(x) = - 4 · (x² + 4 · x - 5)

f(x) = - 4 · x² - 16 · x + 20

Now we proceed to complete the square:

f(x) = - (4 · x² + 16 · x - 20)

- f(x) = 4 · x² + 16 · x - 20

- f(x) = (2 · x)² + 8 · (2 · x) - 20

- f(x) + 36 = (2 · x)² + 8 · (2 · x) + 16

- f(x) + 36 = (2 · x + 4)²

- f(x) + 36 = 4 · (x + 2)²

f(x) - 36 = - 4 · (x + 2)²

The vertex of the graph is (h, k) = (- 2, 36).

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

7 0

1 year ago