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3 years ago

What is the slope of the line joining (-4,7) and (-5,0)?

Mathematics

2 answers:

Inga [223]3 years ago

6 0

Answer:

slope = 7

Step-by-step explanation:

To calculate the slope m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (- 5, 0)

m = $\frac{0-7}{-5+4}$ = $\frac{-7}{-1}$ = 7

MatroZZZ [7]3 years ago

5 0

Answer:

Step-by-step explanation:

First, take (-4,7). That is your x1 and y1 numbers. Do the same thing for (-5,0) except, it will be x2 and y2.

Second, subtract y1 from y2 all over x1 from x2

EX: 0-7 m=7

-5-(-4)

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How many solutions are there for 4x>8

Anni [7]

Answer:

$\Huge \boxed{X>2}$

Step-by-step explanation:

$\large \textnormal{To solve this problem, first you have to isolate it on one side of the equation.}$

First, divide by 4 from both sides.

$\displaystyle \frac{4x}{4}=\frac{8}{4}$

Solve.

$\displaystyle 8\div4=\boxed{2}$

Therefore, the solutions of 4x>8 is 2.

In conclusion, the correct answer is x=2.

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4 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!!!

Reika [66]

Answer:

x=6

Step-by-step explanation:

5x^2-136=44

add 136 to both sides

5x^2=180

divide both sides by 5

x^2= 36

take square root of both sides

x=6

5 0

3 years ago

Read 2 more answers

In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys

marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

New number of students = 15 + 5

New number of students = 20

New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

Percentage decrease for the boys = 40% - 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

8 0

3 years ago

A student raises her grade average from a 75 to a 90. what was the percent of increase in the student's grade average? round you

Leona [35]

Here are some formulas...
percent increase = (new number - original number) / original number...* 100
percent decrease = (original number - new number) / original number...* 100
============
a student raises her grade from a 75 to a 90....since it is going from a smaller number to a larger number, u have an increase
percent increase = (90 - 75) / 70....* 100
= 15/70 * 100
= 0.2142 * 100
= 21.42 rounds to 21.4% increase
-------------------------
36.50 on sale for 32.12...since it goes from a larger number to a smaller number, u have a decrease
percent decrease = (original number - new number) / original * 100
= (36.50 - 32.12) / 32.12...* 100
= 4.38 / 32.12...* 100
= 0.1363...* 100
= 13.63 rounds to 13.6% decrease
------------------------------
23.5 to 21.2......this is a decrease
percent decrease = (original number - new number) / original...* 100
= (23.5 - 21.2) / 23.5....* 100
= 2.3 / 23.5....* 100
= 0.0979 * 100
= 9.79 rounds to 9.8% decrease

3 0

3 years ago

Read 2 more answers

Explain how to perform a two-sample z-test for the difference between two population means using independent samples with known

iren2701 [21]

Answer:

The steps 1-7 have been explained

Step-by-step explanation:

The steps are;

1) We will verify that the population standard deviations are known and that the population is normally distributed which means the sample size must be a minimum of 30.

2) We will state the null and alternative hypothesis

3) We will determine the critical values from the relevant tables

4) From the critical values gotten, we will determine it's corresponding region where it can be rejected.

5)We will calculate the value of the test statistic from the formula;

z = [(x1' - x2') - (μ1 - μ2)]/√[((σ1)²/n1) + ((σ2)²/n2)]

6) If the value of the test statistic gotten from step 5 above falls in the region of rejection noted in step 4,then we will reject the null hypothesis

7) After rejection of the null hypothesis, we will now give a decision/conclusion on the claim.

5 0

3 years ago