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erastova [34]
3 years ago
10

What is this quadratic function in standard form? y=(x+7) (x−5) Enter your answer in the box.

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

y = x^2 +2x -35

Step-by-step explanation:

Multiply the binomials. The distributive property is helpful.

y = x(x -5) +7(x -5) . . . . the terms of the first binomial multiplied by the second

= x^2 -5x +7x -35 . . . . eliminate parenthses

y = x^2 +2x -35 . . . . . . collect terms

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Park two has 12 more benches than Park one. If 2 benches were transferred from Park two to Park one, then Park two would have 2
marta [7]

Answer:

There were 6 benches in park 1 and 18 benches in park 2.

Step-by-step explanation:

Let x be the no of benches in Park 1 and y in park 2.

Given that there are 12 more benches in park 2 than 1

Writing this in equation form, we have y = x+12 ... i

Next is if 2 benches were transferred from park 2 to park 1, then we have

x+2 in park 1 and y-2 in park 2.

Given that y-2 = twice that of x+2

Or y-2 = 2x+4 ... ii

Rewrite by adding 2 to both sides of equation ii.

y = 2x+6 ... iii

i-iii gives 0 = -x+6

Or x =6

Substitute in i, to have y = 6+12 = 18

Verify:

Original benches 6 and 18.

18 = 6+12 hence I condition is satisfied

18-2 = 2(6+2)

II is also satisfied.

6 0
3 years ago
Read 2 more answers
Given f(x)=4x+5 and g(x)= x^2+x; find (f∘g)(-5)<br> Please show all steps thank you
Greeley [361]

Answer:

(f\circ g)(-5)=85

Step-by-step explanation:

We are given:

\displaystyle f(x)=4x+5\text{ and } g(x)=x^2+x

And we want to find:

(f\circ g)(-5)

This is equivalent to:

\displaystyle =f(g(-5))

So, we will evaluate g(-5) first, which yields:

\displaystyle g(-5)=(-5)^2+(-5)=25-5=20

So:

=f(g(-5))=f(20)

Then:

\displaystyle f(20)=4(20)+5=80+5=85

Therefore:

(f\circ g)(-5)=85

6 0
3 years ago
The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to
Mariana [72]

Answer:

The answer to your question is The cost to raise a child from birth to 17 years in a household is $194119.

Step-by-step explanation:

Equation

                      y = 1.55x + 110,419

Annual income = $54,000

To solve this problem just substitute the annual income and simplify to find the cost.

                    y = 1.55(54,000) + 110419

Simplify

                    y = 83700 + 110419

Result

                    y = $194119

3 0
3 years ago
Which graph shows the solution set for -5/2 x - 3_&lt; 2?​
nikitadnepr [17]
The answer is the 3rd graph
8 0
3 years ago
Read 2 more answers
Three boxes of candy canes cost 23.97 how many much does each box cost?
Lina20 [59]

Answer:

So you are going to take the total cost and divide it by the amount

Step-by-step explanation:

23.97/3=7.99

Hope that helps feel free to ask more questions


Brainliest??

8 0
4 years ago
Read 2 more answers
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