4. If f(x) = 5X + 8, g(x) = 7X -2 Find (f - g)(x)

Answer:

slope= -1

y-intercept is 6

Step-by-step explanation:

slope = y2-y1/ x2-x1

slope = 6-8/ 0-(-2) = -1

y-intercept is 6 because of (0,6), where the points cross y-axis

Step-by-step explanation:

1.

the null hypothesis:

H0: u = 8 hours ( new Yorkers sleep for 8 hours)

The alternate hypothesis;

H1: u ≠ 8 hours ( new Yorkers sleep less than 8 hours)

b.

test statistic

t = (barX - u)/s/√n

= 7.73-8/0.77/√25

= -1.7532

degree of freedom = n-1

= 25-1 = 24

c.

p(value)

= p(t < -1.7532)

= 0.046

obviously we can see that the p value is less than 0.05 alpha level so we reject the null hypothesis.

d

The data gives strong evidence that new Yorkers sleep less than 8 hours on average every night.

e.

at 90% level of confidence

we have

7.73-0.26334, 7.73+0.26334

= 7.466, 7.993

please check attachment

thank you!

Answer: Three-8 ounce containers

Step-by-step explanation: 3 x 1.29 divided by 0.6= $6.45 for three 8-ounce containers

4 x 3.77 divided by 0.6= $15.08

Answer:

First multiply each brackets

90-60

30

Step-by-step explanation:

Answer:

9 x 3= 27 and 30 + 30=  60.. so 60- 27= 33, but if you want to do 27- 30.. it would be -33.

Step-by-step explanation:

Hope that answers your question!

Answer:

1.4 inches.

Step-by-step explanation:

Given that the length of the pool = 200 ft.

Scale factor = 1725.

As,

[tex]\text{Scale factor }=\frac{\text{Original length}}{\text{Scaled length}}[/tex]

So,

[tex]\text{Scaled length} = \frac{\text{Original length}}{\text{Scale factor}}[/tex]

By using the given values, we have

{Scaled length} [tex]= \frac{200}{1725} ft.=0.116 ft.[/tex]

As 1 foot = 12 inch,

So, scaled length = 0.116 x 12 = 1.4 inches.

Hence, the scale length of the model = 1.4 inches.

Answer:

2). 79°; 3). 65°; 4). 45°; 5) 73°

Step-by-step explanation:

m∠4 = 180° - (70° + 65°) = 45°

m∠3 = 180° - (45° + 70°) = 65°

m∠2 + m∠3 = 180° - 36° = 144°

m∠2 = 144° - 65° = 79°

m∠5 = 118° - m∠4 = 118° - 45° = 73°

Answer:

I dont know im in middle school can you please giva me one i have to get my grades up

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

3

5

(1)

4

(25)

=

3

5

4

(25)

=

3

20

(25)

=

15

4

Answer:

= 59 - (59*0.07)

= 59 - 4.13

= 54.87

Answer:

The result would be 54.87

Answer:

B

Step-by-step explanation:

x=√7

squaring

x²=7

Answer:

The equation is likely (x2 -2x -3)/(x+2) and to simplify you can do polynomial synthetic division or long division. Using long division because it works in all cases:

       ________

x+2√x2 -2x -3             how many times does x go into x2  , x times

       x - 4 ______

x+2√x2  - 2x -3            multiply x by x + 2 and create the next row

     -(x2 )

          -4x - 3             bring down the -3 and repeat first step. how many times does x go into -4x, -4 times

        -(-4x - 8)            multiply x + 2 by -4

                   5             (this is the remainder but it must be in the form 5/(x+2)

so the answer is x - 4 + 5/(x + 2). Hopefully, this is what your teacher considers "simplified".

Step-by-step explanation:

Copied this from wyzant.com.  

The answer is D.) OP≅OQ

I hope this is the right graph

Answer:

First, make the denominators

15/2+2/2

Then, add

17/2

If you want it in decimal points

8.5

Step-by-step explanation:

I hope I explained well, please give me brainliest

Answer:

195

Step-by-step explanation:

you just muliply

Answer:

The answer is 175! :)

I recommend searching or creating a times table for yourself, they are incredibly handy! Easy to print off or write down. :))

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

Option C: 0.7734

Step-by-step explanation:

From z-distribution table attached,

P(Z ≤ -0.75) = 0.2266

However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.

Thus;

P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266

P(Z > -0.75) = 0.7734

Option C is the correct answer.

Answer:

5: c=65  d=125  e=60

6: c= 58 d= 121 e=63

7. a=55 b=64 c=61

8. a=61 b=55 c=64

Step-by-step explanation: :)

Answer:

5

Step-by-step explanation:

12 x - 3y / 4 x - Z

=12×3-3×1/3÷4×3-5

=36-1/12-5

=35/7

=5

So the final answer is 5.

Answer:

C

Step-by-step explanation:

y=mx+n m is slope if slopes are perpendicular m1.m2=-1

(2/3) . (-3/2) = -1

m1=2/3

m2=-3/2

y=(2/3)x-3 m=2/3 n= -3

y=(-3/2)x+2   m = -3/2 n = 2

Answer:

1. Find the common denominator.

2. Multiply everything by the common denominator.

3. Simplify.

4. Check the answer(s) to make sure there isn't an extraneous solution.

Step-by-step explanation:

Hope this helps!

The steps for solving rational equations will be to take common factors and simplify the equation.

A rational equation, abbreviated as P(x) / Q(x), is one that has at least a single fraction with polynomials as the numerator and denominator. Q(x) / P(x). These integers might be on either end of the equation or sometimes both.

The steps are given below.

The steps for solving rational equations will be to take common factors and simplify the equation.

More about the steps for solving rational equations link is given below.

https://brainly.com/question/27230278

#SPJ6

Answer:

the rise is 6 and the run is 7.  the rate of leaking per minunte is about .8  gallons per minute

Step-by-step explanation:

i think its right this time

-3a-4(a-6)=24-7a

-3a-4a+24=24-7a

-7a+24=24-7a

-7a+24=-7a+24

-7a+24-24=-7a+24-24

Simplify

Subtract the numbers

Subtract the numbers

−7a=-7a

Add 7a to both sides of the equation

-7a+7a =-7a+7a

Simplify

Combine like terms

Combine like terms

0=0

answer is 0=0

Answer:

= h^-6

Step-by-step explanation:

When dividing powers you subtract them (indices rules)

--> -2 - 4 = -6

Hope this helps, please mark as brainliest

Answer: 49

see below for work

Answer:

gang gang

Step-by-step explanation:

Answer:

Sorry I cant help

Step-by-step explanation: