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2 years ago

Draw a number line that represents 7+(-4).

Mathematics

1 answer:

tekilochka [14]2 years ago

3 0

You start from negative 7 in number line and you go left 4

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What’s is the missing justification in the proof ?

timama [110]

Definition of supplementary angles. Hope this helps. Can you mark me as brainliest if you can? I really appreciate it!

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2 years ago

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What is the length of the interval of solutions to the inequality 1≤3-4x≤9?

oksian1 [2.3K]

Answer: -3 ≤ x ≤ -1

Step-by-step explanation:

1 ≤ 3 - 4x ≤ 9

1 + 3 ≤ - 4x ≤ 9 + 3; Add 3 on all sides

4 ≤ -4x ≤ 12

1 ≤ -x ≤ 3; Divide 4 on all sides

-1 ≥ x ≥ -3; Multiply -1 on all sides(FYI: When multiplying or dividing negative numbers in inequalities, make sure to reverse the signs as well)

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1 year ago

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How do you write this as an equation. Pls help<br><br> A number multiplied by 2/5 is 3/20<br> .

Naddika [18.5K]

Answer:

2/5x = 3/20 or 2/5 *x = 3/20

Step-by-step explanation:

These are the same thing just different ways to write. The x represents the unknown number

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2 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

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2 years ago

5p - 14 = 8 p + 4 No solution, Infinitely many solutions, 6 ,-6

DedPeter [7]

Answer:

-6

Step-by-step explanation:

5p - 14 = 8p + 4

Subtract 8p from both sides.

-3p - 14 = 4

Add 14 to both sides.

-3p = 18

Divide both sides by -3.

p = -6

Answer: -6

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2 years ago