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RoseWind [281]
3 years ago
9

Given the following function, find h(-4) h(x) = 8x2 – 5 h(-4) =

Mathematics
2 answers:
Mila [183]3 years ago
8 0

Step-by-step explanation:

put the value of x in the given function...

scoundrel [369]3 years ago
7 0

Answer:

h(-4) = 123

Step-by-step explanation:

h(x) = 8x² – 5

h(-4) = 8(-4)² - 5

h(-4) = 8(16) - 5

h(-4) = 128 - 5

h(-4) = 123

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Which strategie would eliminate a variable in the system of equations? −x+6y=8 7x−y=−2 ​
NeX [460]

Answer:

  substitution (or addition)

Step-by-step explanation:

A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:

  x = 6y -8

  7(6y -8) -y = -2 . . . . . x variable eliminated

__

The second equation is easily solved for y, so you could substitute that into the first equation.

  y = 7x +2

  -x +6(7x +2) = 8 . . . . . y-variable eliminated

__

The "addition" method is always a good way to eliminate a variable.

When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.

To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:

   7(-x +6y) +(7x -y) = 7(8) +(-2)

  42y -y = 56 -2 . . . . . . x-variable eliminated

Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:

  (-x +6y) +6(7x -y) = (8) +6(-2)

  -x +42x = -4 . . . . . . . . y-variable eliminated

__

It is often the case that using either substitution or "addition" requires about the same amount of work.

Here, the solutions are (x, y) = (-4/41, 54/41).

3 0
4 years ago
a leaky faucet is losing water and it is filling a 5 gallon bucket every 12 hours. At the rate, how many gallons of water will t
Alina [70]

Answer:

20 gallons

Step-by-step explanation:

First start off by dividing 48 by 12 to see how many times 12 goes into 48.

48 / 12 = 4

now that you know that 12 goes into 48 4 times, multiply 4 by 5 to see how many gallons the leaky faucet will fill in 48 hours.

4 x 5 = 20

therefore the answer is 20 gallons

I hope this helps ^^

3 0
3 years ago
Which could be the graph of f(x)=|x-h|+k if h and k are both positive
julia-pushkina [17]

The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).

Answer: correct choice is A.

6 0
3 years ago
Read 2 more answers
What is the greatest common factor of 3, 24, and 27
patriot [66]
GCF(3, 24, 27) = 3
Steps:

Prime factorization of the numbers:

3 = 3
24 = 2 × 2 × 2 × 3
27 = 3 × 3 × 3

GCF(3, 24, 27)
= 3
8 0
3 years ago
Read 2 more answers
2x + y - z = -8
Andreyy89

Answer:

Multiply row 1 by \frac{1}{2}.

Step-by-step explanation:

The augmented matrix of the system of linear equation is described below:

\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]

Where a_{11} = 2, if we need to create a_{11} = 1, we need to multiply row 1 by \frac{1}{2}, that is to say:

\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]

Hence, the correct answer is: Multiply row 1 by \frac{1}{2}.

5 0
3 years ago
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