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2 years ago

8 plus 3 cubed over 12-7

Mathematics

1 answer:

Finger [1]2 years ago

4 0

Answer:

Step-by-step explanation:

8+3³/12-7

8+27/5

35/5

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Let k ( x ) = 2 x + 3 and m ( x ) = 3 x 2 + 7 x − 10 . Find the indicated value. M ( k ( − 4 ) ) =

murzikaleks [220]

Answer: $30$

Step-by-step explanation:

Given

$k(x)=2x+3$

$M(x)=3x^2+7x-10$

$M\left(k(x)\right)$ is given by replacing the $x$ by $k(x)$ from the $M(x)$

$\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38$

Now, $M\left(k(-4)\right)$ is

$\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30$

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2 years ago

A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value of n?

Elena L [17]

N + (3n - 15) = 101 is the equation, the answer to the equation is 29

3 0

2 years ago

A pickup truck carrying 10 to the 3rd power identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what i

Aleks04 [339]

Answer:

The answer is that each brick weights .515 pounds.

Step-by-step explanation:

10 to the 3rd power is 10^3 = 1000 bricks.

The weight of the full truck minus the weight of the empty truck is the weight of the bricks:

6755 - 6240 = 515 pounds of bricks

Pounds per brick:

515 / 1000 = .515 pounds per brick.

Hope this helps! Have a great day!

5 0

2 years ago

Select the correct answer from each drop-down menu.

Annette [7]

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation $\bf{y=-(x-2)^2+5}$ (choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:

$y=-(2-2)^2+5=5.$

The extreme value of this equation has a minimum at the point (2,5).

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2 years ago

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Write an equation of the line that passes through the given points. (-1,7) (3,-9)

Novay_Z [31]

Answer:

x=13

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2 years ago

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