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Nuetrik [128]
2 years ago
14

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

Mathematics
1 answer:
steposvetlana [31]2 years ago
8 0

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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Two cylinders are similar. The surface area of one is 49 cm ^ 2 , and the surface area of the other is 121 cm ^ 2 . Find the sca
dalvyx [7]

Answer:

7 : 17.29

Step-by-step explanation:

==>Given:

Two similar cylinders:

Surface area of Cylinder A = 49cm²

Surface area of Cylinder B = 121cm²

==>Required:

Scale factor between both cylinders

==>Solution:

We can easily get the scale factor between both by taking the following steps:

=>Set up a ratio of their surface area:

Smaller cone surface area : larger cone surface area

49:121

= 49/121

=>Simplify the ratio gotten:

Dividing the denominator and the numerator by 7, would give us,

7/17.29

= 7:17.29

8 0
3 years ago
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The time shown on the clock is 11:05 starting at this time approximately what time will it be when the hands from an obtuse angl
Sergio [31]
It'll be at 11:11 when the hands form a obtuse angle.
4 0
3 years ago
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7x-5=8(x+3) solve for x​
Harlamova29_29 [7]

Answer:

The value of x is -29.

Step-by-step explanation:

We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.

\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}

Now that we have solved for x, we can plug in -29 to see if we get a true statement.

\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark

Because we ended up with a true statement, we have determined that the value of x is -29.

6 0
3 years ago
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Alisiya [41]

Step-by-step explanation:

x^2 -2kx +7k -12 = 0

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so k =3 and k =4

5 0
3 years ago
The functions f(x) and g(x) are shown.
erastova [34]

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The points where g(x) = 0 are called "roots" or "solutions," and is (3,0).

f(x) > g(x)  on the approx. interval (-9, -3/4).

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