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Natali5045456 [20]
3 years ago
14

Find the slope of the line through the. Given points 1,2 7,7

Mathematics
1 answer:
olasank [31]3 years ago
7 0

Good morning ☕️

Answer:

\frac{5}{6}

Step-by-step explanation:

the line passes through the points (1 , 2) and  (7 , 7)

then

Slope=\frac{7-2}{7-1} =\frac{5}{6}

____________

:)

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Given the following functions f(x) and g(x), solve (f + g)(5) and select the correct answer below: f(x)=2x^2-10 g(x)=x+9
steposvetlana [31]

Answer:

\large\boxed{(f+g)(5)=54}

Step-by-step explanation:

f(x)=2x^2-10,\ g(x)=x+9\\\\(f+g)(x)=f(x)+g(x)\\\\\text{Substitute:}\\\\(f+g)(x)=(2x^2-10)+(x+9)=2x^2-10+x+9=2x^2+x+(-10+9)\\\\(f+g)(x)=2x^2+x-1\\\\(f+g)(x)(5)\to\text{put x = 5 to the equation of the function:}\\\\(f+g)(5)=2(5^2)+5-1=2(25)+5-1=50+5-1=54

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3 years ago
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Nesterboy [21]
4^6= 24
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6 0
2 years ago
Read 2 more answers
The difference of two trinomials is x2 − 10x + 2. If one of the trinomials is 3x2 − 11x − 4, then which expression could be the
12345 [234]

Answer:

4x^2-21x-2

Step-by-step explanation:

Given that:

Difference of two trinomials is x^2 - 10x + 2

One of the two trinomials is  3x^2 - 11x - 4

To find:

The other trinomial = ?

Four options are:

2x2 - x - 2 \\2x2 + x + 6 \\4x2 + 21x + 6\\ 4x2 - 21x - 2

Solution:

Let the two trinomials be A and B.

Given A - B = x^2 - 10x + 2

B = 3x^2 - 11x - 4

We have to find the other trinomial A.

A - B = x^2 - 10x + 2

A - (3x^2 - 11x - 4) = x^2 - 10x + 2

\Rightarrow A = x^2 - 10x + 2 + (3x^2 - 11x - 4)

\Rightarrow A = 4x^2-21x-2

So, the correct answer is 4x^2-21x-2.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
the local movie theatre collected a total of $8,250 last night, of which 45% came from sales at the concession stand. how much m
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45%=0.45

8,250x0.45
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The theater collected $3712.50 at the concession stand.
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