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3 years ago

What is true about solving inequalities

1 answer:

3 0

When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality. Since 29 is not equal to 24, 3 is not a solution to the equation.

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Please help with 4-9!!!

olya-2409 [2.1K]

sdfsdf

4) $\frac{3m+15}{2} = 22.5$

Multiply by 2 on both sides

3m + 15 = 45

Subtract both sides by 15

3m = 30

Divide both sides by 3

so m = 3

5) $21= \frac{q+35}{8}$

Multiply both sides by 8

168 = q + 35

Subtract both sides by 35

q = 133

6) $14 + \frac{4z}{-11} = 66$

Subtract 14 from both sides

$\frac{4z}{-11} = 52$

multiply by -11 on both sides

4x = 572

Divide both sides by 4

x= 143

7) $\frac{3}{5} c - 6 = 9$

Add 6 on both sides

$\frac{3}{5} c = 15$

Multiply both sides by 5

3c = 75

Divide both sides by 3

c = 25

8) $\frac{t}{-2} + 17 = -9$

Subtract both sides by 17

$\frac{t}{-2} =26$

Multiply both sides by -2

t = -52

9) $-6 = \frac{5p-(-2)}{-7}$

Multiply both sides by -7

42= 5p + 2

subtract 2 from both sides

40 = 5p

Divide both sides by 5

so p = 8

6 0

3 years ago

Read 2 more answers

How to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x

Fofino [41]

Answer:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

Step-by-step explanation:

We are given the function:

$f(x)=-4x^5-8x^3+12x$

And we want to finds its zeros.

Therefore:

$0=-4x^5-8x^3+12x$

Firstly, we can divide everything by -4:

$0=x^5+2x^3-3x$

Factor out an x:

$0=x(x^4+2x^2-3)$

This is in quadratic form. For simplicity, we can let:

$u=x^2$

Then by substitution:

$0=x(u^2+2u-3)$

Factor:

$0=x(u+3)(u-1)$

Substitute back:

$0=x(x^2+3)(x^2-1)$

By the Zero Product Property:

$x=0\text{ and } x^2+3=0\text{ and } x^2-1=0$

Solving for each case:

$x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}$

Therefore, our real and complex zeros are:

$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

4 0

3 years ago

Find the difference. Write your answer in simplest form.

cestrela7 [59]

Answer:

Yes you are correct. 9/20 is correct.

Step-by-step explanation:

7 /10 - 1 /4 =

7 * 2 / 10*2

1 * 5 / 4 * 5 = 14 /20 -5 /20 =9 /20

8 0

3 years ago

In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin

denpristay [2]

Answer:

a) $Z = -0.8$

b) $Z = 2.4$

c) Mary's score was 241.25.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 210, \sigma = 25$