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Klio2033 [76]
3 years ago
15

Find the solution set for the given inequality. -7x + 3 > 45 A) Show your work to solve this inequality (B) Graph the solutio

n on the number line (2)
Mathematics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

Given the inequality -7x+3>45

A) Add -3 to both sides of inequality:

-7x+3-3>45-3\\ \\-7x>42

Divide by -7 (remember, dividing the inequality by negative number changes the sign of inequality):

x

B) Plot open circle at -6 on the number line and shade all values of x which go to the left from -6 (see attached diagram).

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Answer: x = 40.5

Step-by-step explanation:

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Find the slope of a line passing through the given points. 2,5) and (4,-7) help me
LekaFEV [45]

<em>-7 -5 / 4 -2 / -12/2 </em>

<em>-12/2 = -6 </em>

<em>Slope: -6x </em>

<em>5 = 2(-6) + b</em>

<em>5 = -12 + b </em>

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<em>Slope intercept Form: y = -6x + 17</em>

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3 years ago
Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.
Sidana [21]

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y)  from the focus is

√[(x -  -8)^2  + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x -  -8)^2  + (y - -1)^2] = y + 4

Squaring both sides:

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x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

4 0
3 years ago
A number is written with 10 zeros, 10 ones and 10 twos. Is it possible for it to be a perfect square ? Please help. I don’t unde
lora16 [44]

Answer:

i am going to help you to understand this problem. if it is written with 10 0s it will be the billion place. because of the ten ones it will be 0,000,010, and because of the ten two's, which is 20, it will be 0,000,030. and when i searched up on google, and watched an episode of number blocks, no, 30 is not a square number OR a cube number.

Step-by-step explanation:

8 0
3 years ago
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