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3 years ago

Evaluate for given replacement

Mathematics

1 answer:

jasenka [17]3 years ago

4 0

First, plug in 7 for m

|6 - 2(7)|
|6 - 14|
|-8|
since it's an absolute value, the answer will be positive
answer: 8

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Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = -x + 21 y = -2

Kamila [148]

-x+21=-2x+30
-x+2x=-21+30
x=9
-(9)+21=12

y=12

4 0

3 years ago

Should we make laws to prevent or fight climate change?

aleksklad [387]

Answer:

no because if the climate were to stay the same things wouldnt happen. like if it stayed hot plants wouldnt grow because the sun would dry out the soil and shrink the plants and a whole bunch of other problems.

Step-by-step explanation:

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3 years ago

The long jump record, in feet, at a particular school can be modeled by f(x) = 19.6 + 2.5ln(x + 1) where x is the number of year

Sedbober [7]

Answer:

25.8

Step-by-step explanation:

6 0

4 years ago

On a science exam, Jackson scored 85 out of 100 possible points. There were 20 questions on the exam. Each question was worth th

d1i1m1o1n [39]

Do 85÷20 and then add it to 100

4 0

3 years ago

The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is $258.75\ in^3$ .

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

$Volume = Length\times height\times width$

Substitute all given value in above formula.

$258.75 = (h-4)\times h\times 3$

Rewrite the equation as:

$258.75 = 3h(h-4)$

$258.75 = 3h^2-12h$

$3h^2-12h-258.75=0$

whole equation divided by 3.

$h^2-4h-86.25=0$

Use quadratic formula with $a = 1, b = -4,c=-86.25$

$h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put these a, b and c value in above equation.

$h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}$

$h=\frac{4\pm \sqrt{16+345}}{2}$

$h=\frac{4\pm \sqrt{361}}{2}$

$h=\frac{4\pm 19}{2}$

For positive sign

$h=\frac{23}{2}$

h = 11.5 in

For negative sign

$h=\frac{-15}{2}$

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0

3 years ago