You can use this rule to work out the total cost of hiring a car. Total cost = £4 per hour plus £12. Arun hires a car for 5 hours. Work out the total cost.

The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

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

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Therefore the slope, or the average rate of change, between these points is 2.

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

.

Answer:

36 square units

Step-by-step explanation:

split the figure so that it's a triangle and a rectangle. Find the area of the rectangle (base x height or 6 x 4), which is 24 square units. Then, find the area of the triangle ((base x height)/2 or (6 x 4)/2), which would be 12 units. Then add those units up (24 + 12) and you get 36.

Answer:

<E(it is obtuse), <C, <D

The angle opposite to the longer side is greater than the angle opposite to the shorter side

^^for the second one use the same logic <C, <B, <A

Answer:

y=3x-8

Step-by-step explanation:

Answer:

name as AB =CD

angle A=angle D

BC=BC

hence angle ABC is congruent to angle BCD

(by sas congruency)

hence proved

Answer:

(5,7)

Step-by-step explanation:

x = 1 + 9 / 2 = 5 and y = 8 + 6 / 2 = 7

So the coordinate is (5,7)

Step-by-step explanation:

n = 52

x bar = 122.31

standard deviation sd = 38.75

1. the hypothesis:

null hypothesis

h0: μ ≤ 35

alternative hypothesis

h1: μ > 35

2.

we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.

3.

= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]

= 87.31/5.37

= 16.26

using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.

TDIST(16.26, 51, 1)

since p value is very small we reject the null and accept the alternate hypothesis.

4. from the result above the answer to this question is yes

Answer:

to find midpoint =(x1+x2/2,y1+y2/2)

(3,10) ,(7,20)

x1 ,y1. x2,y2

=P(x,y)=(3+7/2,10+20/2)=(5,15)

midpoint of a segment =(5,15)

Answer:1500 grams

Step-by-step explanation:

Answer:

Hotdog: $1.50

Hamburger: $3.25

Step-by-step explanation:

You write down the 2 equations based off of the information as I did:

Let x = cost of a hotdog

Let y = cost of a hamburger

and so:

3x + 2y = 11

2x + 4y = 16

Now, we need to find x and y:

We will make both equations equal to y to compare them to each other.

2y = 11 - 3x

y = 5.5 - 1.5x

4y = 16 - 2x

y = 4 - 0.5x

4 - 0.5x = 5.5 - 1.5x

x = $1.5

Now plugging in x into the equation:

2(1.5) + 4y = 16

3 + 4y = 16

4y = 13

y = $3.25

And so hotdog = $1.5 and hamburger = $3.25

Answer:

9\sqrt{2}

Step-by-step explanation:

this is a 30-60-90 triangle so

the side opposite of 30 is x and the opposite side of 60 is x[tex]\sqrt{2}[/tex]. then the side opposite 90 is 2x.

so if 9=x then a=x\sqrt{2}

9\sqrt{2} is the side length of a

Hope that helps :)

Answer:

7:5 or 5:7

Step-by-step explanation:

Answer:

$1 for 60

Step-by-step explanation:

60$ is a better deal.

Answer:

nope, the answer is the one above the one you chose

Answer:

f(t)=t^2 rests at (0/0) and grows upwards, so there is only a single x-intercept. g(t)=(t+3)^2 is f moved 3 to the left, so it also only has one intercept but at (-3,0).

Step-by-step explanation:

Answer:

Yea If im correct then you are

Step-by-step explanation:

Step-by-step explanation:

25 percent of 32.4 is 8.1

Answer:

8.1

Step-by-step explanation:

.25x32.4=8.1

Answer:

increase

Step-by-step explanation:

11.61 was added to 27

Answer:

1.5

Step-by-step explanation:

Answer:

1 and 6

Step-by-step explanation:

it is just like the roots of a polynomial, since [tex]\sqrt{x-1}[/tex](x-6)^2=0

we can separate the two pieces of the problem

\sqrt{x-1} =0

square both sides to get

x-1=0.   x=1

(x-6)^2=0

square root both sides and get

x-6=0

x=6

so the two inflection points of the equation are 6 and 1

Hope that helps :)

Answer:

The answer would be 6º

Step-by-step explanation:

first we know that a straight lin is always 180º

so since we know that the angle outside of the triangle is 110º we can do 180º -110º

then we get the measuerment for angle C :70º

since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation

2+6x+12x+70=180

then we solve

72+18x=180

-72         -72

18x=108

/18    /18

x=6

then we plug in the x value to find the angle measurement

2+6(6)

2+36

38º

your answer is m<CAB is 38º

Answer:

It would be 3/2 as 1/2 is 50%, 2/2 or 1 is 100% and 3/2 is 150%

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

plus 2 = 11 = 13

Answer:

The correct answer is 288

Step-by-step explanation:

72% of 400 is 288 you can do that in a calculator its common sense, its not 13.

Answer:

[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]

Step-by-step explanation:

[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

it would be: (x-1)(x+4)(x+5)

Step-by-step explanation:

to solve factor the polynomial using the rational roots theorem.