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3 years ago

1/3+2/3m=2/3m-2/3 Does it have no solution or is it an identity?

1 answer:

3 0

$\dfrac{1}{3}+\dfrac{2}{3}m=\dfrac{2}{3}m-\dfrac{2}{3}\ \ \ \ \ |subtract\ \dfrac{2}{3}m\ from\ both\ sides\\\\\dfrac{1}{3}=-\dfrac{2}{3}\ \ \ \ FALSE\\\\Answer:\ No\ solution$

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Roxanne graphed this system of equations to find the solution.

Mice21 [21]

Answer:

Option C is correct.

She is not correct as she use the wrong y intercepts when graphing the equations.

Step-by-step explanation:

Given the system of equations:

$y = \frac{2}{3}x-5$ .....[1]

$y = -2x+3$ . .....[2]

equate these two equations we get;

$\frac{2}{3}x-5=-2x+3$

Add 5 to both sides we get;

$\frac{2}{3}x = -2x+8$

Add 2x to both sides we have;

$\frac{8}{3}x = 8$

Multiply both sides by 3 we get;

8x = 24

Divide both sides by 8 we get;

x = 3

Substitute the value of x in [2] we have;

y = -2(3)+3 = -6+3

Simplify:

y = -3

Therefore, the correct solution for this given system of equation is (3, -3)

You can see the graph of these equations below.

5 0

3 years ago

Read 2 more answers

URGENT PLEASE HELP!!!

ycow [4]

X
$x \frac{1}{6} + 2x \frac{2}{3}$

5 0

3 years ago

The expression P(4, 3) is equal to: -3! -4! - 1

nexus9112 [7]

Answer:

$P(4,3) = 4!$

Step-by-step explanation:

Given

P(4,3)

Required

Solve

Using permutation formula;

$P(n,r) = \frac{n!}{(n-r)!}$

This implies that

$P(4,3) = \frac{4!}{(4-3)!}$

$P(4,3) = \frac{4!}{(1)!}$

$P(4,3) = \frac{4!}{1!}$

$P(4,3) = \frac{4!}{1}$

$P(4,3) = 4!$

6 0

3 years ago

2 vertical buildings are 42 metres apart and the shorter building is 135m high. The angle of elevation from the top of the short

ipn [44]

Answer:

Step-by-step explanation:

base=42 m

height=h=?

base angle θ=60°

tan 60=h/42

h=42tan 60=42√3≈72.75 m

height of taller building=135+42√3 m≈135+72.75≈207.75 m≈208 m

6 0

3 years ago

Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund

ser-zykov [4K]

Testing the hypothesis, it is found that since the p-value of the test is 0.0042 < 0.01, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

$H_0: p = 0.5$

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

$H_1: p \neq 0.5$

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1 - p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.
p is the value tested at the null hypothesis.
n is the sample size.

In this problem, the parameters are given by:

$p = 0.5, n = 483 + 398 = 881, \overline{p} = \frac{483}{881} = 0.5482$

The value of the test statistic is:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1 - p)}{n}}}$

$z = \frac{0.5482 - 0.5}{\sqrt{\frac{0.5(0.5)}{881}}}$

$z = 2.86$

Since we have a two-tailed test(test if the proportion is different of a value), the p-value of the test is P(|z| > 2.86), which is 2 multiplied by the p-value of z = -2.86.

Looking at the z-table, z = -2.86 has a p-value of 0.0021.

2(0.0021) = 0.0042

Since the p-value of the test is 0.0042 < 0.01, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

A similar problem is given at brainly.com/question/24330815

3 0

3 years ago