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3 years ago

14

Write a point-slope equation for the line that has slope 5 and passes through the point (6, 22). Do not use parenthesis on the y

side.

1 answer:

Stels [109]3 years ago

4 0

The equation to point-slope form is y-y1=m(x-x1) so the answer is:
y-22=5(x-6)

You might be interested in

(x+5)(x+1)+(x+5)(x+8)

gtnhenbr [62]

Answer:

2x² + 19x + 45

Step-by-step explanation:

(x + 5)(x + 1) + (x + 5)(x + 8) ← expand both sets of factors using FOIL

= x² + 6x + 5 + x² + 13x + 40 ← collect like terms

= 2x² + 19x + 45

5 0

2 years ago

Assume that there is a 150 year old law in the statutes of your state which makes kissing in a public graveyard a crime punishab

pickupchik [31]

Answer: Natural law.

Step-by-step explanation:

Natural law this is a theory which is based on ethics and philosophy which states that human beings possess intrinsic values which guide our reasoning and behaviors. Natural law stands to maintain that these rules of right and wrong are inborn in people and are not created by the society or court judges. An example of Natural law is that it is bad to kill someone, and it’s is right to punish whoever kills someone.

in the example cited above it is morally wrong to kiss or furnicate in a cemetery ground and as such falls under the natural law cause our sense of judgment should come into play there.

6 0

3 years ago

Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey

tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

b) -1.59

c) -1.301

d) i. reject null hypothesis

e) Option i) The data supports the claim that college students get less sleep than the general population.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 7 hours

Sample mean, $\bar{x}$ = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s = 0.55 hours

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}$

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59$

c) Now,

$t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301$

Since,

$t_{stat} < t_{critical}$

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

8 0

3 years ago

What is the sum of the zeros of the function: y= x^2 - 5x + 6?

yawa3891 [41]

Answer:

Step-by-step explanation:

The zeros are the values of x for which y = 0

Quadratic formula

x = [5 ± √(5² – 4·1·6)] / [2·1]

= [5 ± √1] / 2

= [5 ± 1] /2

= 2, 3

sum of zeros = 5

7 0

3 years ago

Jackson had 1, 3/8 kg of fertilizer he used some to fertilize a flower bdd and he only had 2/3kg left how much fertilizer was us

ddd [48]

Answer:

Jackson had 1, ⅜ kg of fertilizer he used some to fertilize a flower bed and he only had ⅔ kg left how much fertilizer was used in the flower bed

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

1/3 * (1/2 - 3 3/8) = -23/

24

≅ -0.9583333

Spelled result in words is minus twenty-three twenty-fourths.

How do you solve fractions step by step?

Conversion a mixed number 3 3/

8

to a improper fraction: 3 3/8 = 3 3/

8

= 3 · 8 + 3/

8

= 24 + 3/

8

= 27/

8

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

8

= 24/

8

b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write a previous answer (new numerator 27) over the denominator 8.

Three and three eighths is twenty-seven eighths

Subtract: 1/

2

- 27/

8

= 1 · 4/

2 · 4

- 27/

8

= 4/

8

- 27/

8

= 4 - 27/

8

= -23/

8

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus twenty-seven eighths = minus twenty-three eighths.

Multiple: 1/

3

* the result of step No. 2 = 1/

3

* (-23/

8

) = 1 · (-23)/

3 · 8

= -23/

24

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one third multiplied by minus twenty-three eighths = minus twenty-three twenty-fourths

5 0

2 years ago