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3 years ago

Combining like terms in a quadratic expression.... simplify -11x^2 - 3x - 7x^2 + 9 + 8x HELP PLEASE! AND A FEW OTHERS!

1 answer:

8 0

The answer is 4x^2 +5x+9

You will first solve the same variables such as x^2

11x^2 - 7x^2 = 4x^2

now you will solve the variables with x

-3x +8x = 5x

so the answer you will get will be 4x^2 +5x = 9

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Help with finding the slope and graphing just the questions in general

irinina [24]

Start at (0,84) as your y-intercept because thats what he starts with. Then make a negative slope decreasing by 2 each time the x value is increased by 1

4 0

3 years ago

Solve the system by substitution. Check your solution. <br> a-1.2b=-3 <br> 0.2b+0.6a=12

velikii [3]

A - 1.2b = - 3 ⇒ eq. 1
0.2b + 0.6a = 12 ⇒ eq. 2

a - 1.2b = - 3
a = 1.2b - 3 ⇒ eq. 3

Substitute eq. 3 to eq. 2
0.2b + 0.6(1.2b - 3) = 12
0.2b + .72b - 1.8 = 12
Combine like terms
0.92b = 12 + 1.8
0.92b = 13.8 ⇒ divide both sides by 0.92 to get the value of b
<span>b = 15

</span>Substitute the value of b to eq. 3
a = 1.2b - 3
a = 1.2(15) - 3
<span>a = 15

</span>to check: substitute the values of a and b to:
eq. 1
a - 1.2b = - 3
15 - (1.2)(15) = -3
15 - 18 = - 3
- 3 = -3 ⇒ correct!

eq. 2
0.2b + 0.6a = 12
(0.2)(15) + (0.6)(15) = 12
3 + 9 = 12
12 = 12 ⇒ correct!

7 0

4 years ago

Read 2 more answers

Simplify <br><br> (2x^{2} - 5x + 3) - (-x^{2} + 4x - 5)

MrRissso [65]

Answer:

3x^2 - 9x + 8

Step-by-step explanation:

To simplify:

Distribute the -1 into the second term.
Collect and combine like-terms (terms with the same variables or powers)

The expression can be rewritten has (2x^2 - 5x + 3) -1(-x^2 + 4x - 5)

After distributing the -1, the equation becomes:

(2x^2 - 5x + 3) + (x^2 - 4x + 5)

The like-terms are:

2x^2 and x^2
-5x and -4x
3 and 5

Combine the like-terms:

2x^2 + x^2 = 3x^2
-5x - 4x = -9x
3 + 5 = 8

Substitute the simplified like-terms into the expression, in descending order:

3x^2 - 9x + 8

5 0

3 years ago

What is the slope of a line perpendicular to the following line?<br><br> <img src="https://tex.z-dn.net/?f=-7y%2B%208x%3D9" id="

EleoNora [17]

Answer:

m = $-\frac{7}{8}$

Step-by-step explanation:

<h3>Finding the slope of the given line </h3>

We need to find the slope of this equation to find the slope of a line perpendicular to it. This means we must solve for y.

Start off by subtracting 8x from both sides of the equation to start isolating the variable y.

$-7y=9- 8x$

Now solve for y by dividing both sides of the equation by -7.

$y=\frac{9-8x}{-7}$

This can be broken into two parts by distributing the negative sign from the -7 into the 9 and -8x like so:

$y=\frac{-9}{7} +\frac{8x}{7 }$

The slope of a line is the coefficient of x, so in this case the slope of the given line ( $-7y+8x=9$ ) is $\frac{8}{7}$ .

<h3>Finding the slope of a line perpendicular to the given line</h3>

Two lines that are perpendicular would have opposite reciprocal slopes, which means the perpendicular slope would be the negative counterpart and would be flipped.

For example, if you have 2 as the slope of one of the perpendicular lines, the other line would be the opposite (-2) reciprocal ( $-\frac{1}{2}$ ).

Therefore, since we have the slope of one of the perpendicular lines (the given line), we would find the opposite reciprocal of it's slope to solve this problem.

Slope: $\frac{8}{7}$

Opposite: $-\frac{8}{7}$
Reciprocal: $-\frac{7}{8}$

The slope of the line perpendicular to $-7y+8x=9$ is $-\frac{7}{8}$ .

3 0

4 years ago

A dot plot is shown.

77julia77 [94]

Answer:

C i think but I could be wrong

Step-by-step explanation:

7 0

3 years ago