What is the slope- intercept equation of the line below?

Answer:

261

Step-by-step explanation:

→ Substitute 2 into g( x )

( 3 × 2 ) + 10 = 16

→ Substitute that answer into f( x )

16² + 5 = 261

9514 1404 393

Answer:

  (i) not continuous at x=2

  (ii) -√2

Step-by-step explanation:

(i) The function simplifies to ((x -2)(x+2))/(x -2) = x +2 . . . . x ≠ 2

The left and right limits at x=2 exist and are the same: 4. However, the function is undefined at x=2, so the conditions for continuity are not met.

__

(ii) The expression is indeterminate (0/0) at x=π/4, so  L'Hopital's rule can be used to find the limit.

  lim[x→π/4] = ((d/dx)(cos(x)-sin(x)))/((d/dx)(x-π/4)) = (-sin(π/4)-cos(π/4))/1

  lim[x→π/4] = -√2/2-√2/2 = -√2

The limit is -√2.

Answer:

  x = 12

Step-by-step explanation:

An inscribed angle has half the measure of the arc it intercepts.

  arc SU +arc UT = 180°

  2(43°) +(9x -14)° = 180°

  9x = 108 . . . . . . . divide by °, subtract 72, simplify

  x = 12 . . . . . divide by 9

Answer:

Case 1 - 50388 ways when the couple is there in the group of 8 people selected out of 20 employees.

Case 2 - 75582 ways when the couple is not there in the group of 8 people selected out of 20 employees.

Step-by-step explanation:

Given

The couple within the group can not be separated and hence instead of taking total 20 employees , it must be taken as 19 employees.

Now if the couple is there in the selected group of 8 people, then total 7 needs to be selected out of 19 and hence the total number of ways of selecting 7 people out of 19 is

[tex]^7C_{19}[/tex] = 50388

If the couple is not there in the selected group of 8 people, then the total number of ways of selecting 8 people out of 19 is

[tex]^8C_{19}[/tex] = 75582

Answer:

x=0, -28.

Step-by-step explanation:

abs(x+14)=14

x+14=14

x=14-14=0

----------------

x+14=-14

x=-14-14

x=-28

Step-by-step explanation:

ndnndndndjdjdjdfjfjfgnn

Answer:

x<26

Step-by-step explanation:

8(x/4 - 6) < 4

Divide both sides by 8;

8(x/4 - 6)/8 < 4/8

Simplify;

x/4-6<1/2

Add 6 to both sides;

x/4-6+6<1/2+6

Simplify;

x/4-6+6<1/2+6

Simplify

x/4-6+6

=x/4

Simplify;

1/2+6

Convert it into a fraction;

6*2/2+1/2

Since the denominators are equal combine the fractions;

6*2+1/2

6*2+1=13

=13/2

x/4<13/2

Multiply both sides by 4;

4x/4<13*4/2

Simplify 4x/4

4x/4

4/4=1

=x

Simplify 13*4/2

Multiply the numbers:13*4=52

=52/2

Divide the numbers:52/2=26

=26

x<26

HOPE THIS HELPED!!!

Answer:

There will be 36 berries in each tart

Answer:

7

Step-by-step explanation:

47 + 70 + 9p = 180

117 + 9p = 180

Subtract 117 from both sides

9p = 63

Divide both sides by 9

p = 7

Step-by-step explanation:

47+70+9p=180

=117+9p=180

180-117=9p

63=9p

7=p

Answer:

I would say 12 but I am not positive

Step-by-step explanation:

Answer:

A) H0: σ₁²-σ₂²= 0   against the claim  Ha: σ₁²-σ₂²≠0

B) t= 0.3543860

C)  t≥ t∝/2 ( d.f)=2.024394

D)1) There is no evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.

Step-by-step explanation:

The claim is that there is evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels which is the

alternate hypothesis

The null hypothesis is the reverse of the alternate hypothesis

The null hypothesis is that there is not enough evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.

Part A) H0: σ₁²-σ₂²= 0   against the claim  Ha: σ₁²-σ₂²≠0

Part B) t= x1`-x2`/ sqrt ( s₁²/n₁ + s₂²/n₂)

  t=  2.214- 2.0115/ sqrt ( 2.951657/20+  3.57855/20)

 t= 0.2025/ sqrt(0.14758285 + 0.1789275)

t= 0.2025/0.5714108

t= 0.3543860

Part C) for 2 tailed test the critical value of t is obtained by

t≥ t∝/2 ( d.f)= ± 2.024394

We look at the table with values 0.025 as ∝/2= 0.05/2= 0.025

in the degrees of freedom 38

The d.f = n1+n2-2= 20+20-2= 40-2= 38

Part D) Since the calculated value of t= 0.3543860 does not fall in the critical region  t≥ t∝/2 ( d.f)= ± 2.024394 we conclude that H0 is true and accept the null hypothesis.

So option 1 is correct

1) There is no evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.

Answer:

[tex] F)\displaystyle \: 100\pi{ x}^{8} {y}^{2} {z}^{ 6} [/tex]

Step-by-step explanation:

we are given r and the formula

we want to find the surface area of the shpare with the given r

to do so

we need our algebra skills

substitute the value of r:

[tex] \displaystyle \: S = 4\pi( {5x}^{4} y {z}^{ 3} {)}^{2} [/tex]

recall law of exponent

[tex] \displaystyle \: ({x}^{m} {)}^{n} \iff \: {x}^{mn} [/tex]

to simplify:

[tex] \displaystyle \: S = 4\pi({ {5}^{2} x}^{4 \times 2} {y}^{1 \times 2} {z}^{ 3 \times 2} )[/tex]

simplify multiplication:

[tex] \displaystyle \: S = 4\pi({ 25x}^{8} {y}^{2} {z}^{ 6} )[/tex]

distribute:

[tex] \displaystyle \: S = 100\pi{ x}^{8} {y}^{2} {z}^{ 6} [/tex]

hence our answer is F

Answer:

$33.75

65%

$13.78

Step-by-step explanation:

commission earned = percentage commission x worth of goods sold

4 1/2% x $750

4.5% x $750

0.045 x $750 = $33.75

Percentage mark-up = [(selling price - cost price) / cost price] x 100

[(90.75 - 55) / 55) x 100

= 65%

new income = 6% of $13 + 13

0.06 x 13 = $0.78

$13 +  $0.78 = $13.78

Answer:

tanx=d/f, sinx=d/e, cosx=f/e

Step-by-step explanation:

Find the opposite, Adjacent and hypotenuse of the right triangle.

Opposite= d , Adjacent= f, Hypotenuse= e

Tanx = opposite/adjacent

Sinx= opposite/hypotenuse

Cosx= adcajent/hypotenuse

Answer:

hi i know this not the answer but hope it help:)))

Step-by-step explanation:

Multiply the probabilities just calculated for each individual spinner together to find the probability of getting any specific combination of outcomes from spinning the arrows on both spinners. In the example, you would multiply 1/4 by 1/3 to obtain 1/12.

Your on your own.. :/

Answer:

Part A;

- Increases

- Increases

Part B:

- Constant but not 0

- 0

Step-by-step explanation:

Part A:

>> Looking at the speed - time graph of Airplane A, we can see that speed increases from rest at 0 seconds time to time.

>> In graph of airplane B, we can see that distance gradually increases from time at 0 to time at t1. This means that the speed is increasing.

Part B:

>> From time t1 to time t2, we see in airplane A graph that the motion is indicated a horizontal line which means there is constant motion and in constant motion, speed is constant but not zero.

>> In graph of airplane B, we see that the distance between time t1 to time t2 didn't increase. This means that there was no movement. As a result, speed will be 0

Answer:1.53

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

half of 12,height,multiplied by 5,base,since it is a right angled triangle

Answer:

0.50 cents

Step-by-step explanation:

If we're going to need the price for 1, we're going to need to divide. So, with the known information, we take 5$ (or 5.00$) and divide it by 10 hamburgers to get your quotient of .50 cents . If I'm wrong, please don't be afraid to correct me. And have a good day stranger!

Answer:

-2/5

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

= ( 3-9)/(0+15)

= -6/15

= -2/5

Answer:

Answer and steps in picture.

Answers:

First one is 130r

and

Second one is n(r*r)

Answer:

Paint is measured in gallons

Step-by-step explanation:

Answer:

b or c

Step-by-step explanation:

hope this helped

Answer:

n  =  60

Step-by-step explanation:

Terms which are divisible by 9 between 60 and 600.

63, 72, 81, ........ 594

n  =  [ (l - a)/d ] + 1

n  =  [(594 - 63)/9] + 1

n  =  (531/9) + 1

n  =  59 + 1

n  =  60

Answer:

4√2

Step-by-step explanation:

Using Pythagoras Theorem ,

[tex]\implies h^2 = p^2 + b^2\\\\\implies 9^2 = x^2 + 7^2 \\\\\implies 81 = x^2 + 49 \\\\\implies x^2 = 81 - 49 \\\\\implies x^2 = 32 \\\\\implies \boxed{x = 4\sqrt2} [/tex]

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

9²=x²+7²

x²=81-49

x=√32 units