What is the range of the given function?

{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

Answer:

10 gallons

Step-by-step explanation:

She used 12 gallons this week and used 20% more than last week. That means 12 gallons is 120% of last weeks gas. Since 12 times 10 equals 120, then to find 20% you do 20 divided 10 and subtract the answer from 12.

20% is 2 because 20 divided by 10 is 2. 12 minus 2 is 10

Hope this helps :)

Answer:

0.5

Step-by-step explanation:

Look at the decimal go down. It goes down 0.5 each time or 1/2

The common difference in the arithmetic sequence 5.0, 4.5, 4.0, 3.5 will be 0.5.

Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as

[tex]\rm a_n = a_1 + (n - 1)d[/tex]

The arithmetic sequence is given below.

5.0, 4.5, 4.0, 3.5

Then the common difference will be

d = 5.0 – 4.5 = 0.5

More about the arithmetic sequence link is given below.

https://brainly.com/question/15412619

#SPJ2

Answer:

-a^2

Step-by-step explanation:

Answer:

The slope will be 2/5.

Step-by-step explanation:

[tex]y = 2/5x -1[/tex] is written in slope-intercept form.

This formula looks like:

[tex]y=mx+b[/tex]

where:

So:

1 ). For two lines to be parallel they must have the same slope.

2 ). For two line to be perpendicular they must have slopes that are opposite reciprocals.

As the question states, we must find the slope of a line parallel to the equation given. This means that the slope will remain 2/5.

Lets check our work!

Choose a random ordered pair. I will choose (5, 6).

Now, using point slope-form we can find out if what was said above is true!

This formula looks like:

[tex]y - y1 = m (x-x1)[/tex]

Let us substitute:

[tex]y - 6 = 2/5(x-5)[/tex]

Distribute:

[tex]y-6=2/5x-2[/tex]

Add 6 to both sides:

[tex]y= 2/5x+4[/tex]

Now using both equations I will plot them on a graph to see if they a parallel.

As you can see from the graph below, these lines are parallel. Where the equation you were given is in blue and the equation I made is in red.

Based on all of the evidence, the slope will be 2/5.

Hope this helped! :)

Answer:

y=2x-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equate the two opposite Angles

7x - 31 = 5x + 13                Subtract 5x from both sides

7x - 5x - 31 = 13                 Combine

2x - 31 = 13                        Add 31 to both sides

2x = 13 + 31                       Combine the right

2x = 44                             Divide by 2

x = 44/2

x = 22

Answer: No problem

Step-by-step explanation:

Answer:

y = 5/3x -7/3

Step-by-step explanation:

parallel lines will have the same slope

m = 5/3, point (2, 1)

use point-slope form to find the new equation for the parallel line

y - 1 = 5/3(x - 2)

y = 5/3x - 10/3 + 1

y = 5/3x -7/3

Answer:

[tex]P(x,y) = (\frac{7}{2},2)[/tex]

Step-by-step explanation:

Given

Parallelogram LMNO

[tex]L = (1,4)[/tex]

[tex]M = (7,4)[/tex]

[tex]N = (6,0)[/tex]

[tex]O = (0,0)[/tex]

Required

Determine the point of intersection

The point of intersection of the diagonal is the midpoint of the parallelogram.

The diagonals are: LN and MO

Calculating midpoint, P of LN

[tex]P(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Where

[tex]L = (1,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]N = (6,0)[/tex] --- [tex](x_2,y_2)[/tex]

So:

[tex]P(x,y) = (\frac{1 + 6}{2},\frac{0 + 4}{2})[/tex]

[tex]P(x,y) = (\frac{7}{2},\frac{4}{2})[/tex]

[tex]P(x,y) = (\frac{7}{2},2)[/tex]

To confirm, we make use of diagonals MO

[tex]M = (7,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]O = (0,0)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]P(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

[tex]P(x,y) = (\frac{7 + 0}{2} , \frac{4 + 0}{2})[/tex]

[tex]P(x,y) = (\frac{7}{2} , \frac{4}{2})[/tex]

[tex]P(x,y) = (\frac{7}{2},2)[/tex]

Hence, the coordinates of the intersection, P is [tex](\frac{7}{2},2)[/tex]

Answer:

L(1, 4), M(7, 4), N(6, 0)

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

Answer:

Did you ever figure it out

Step-by-step explanation:

If so please tell me

Answer:

A.

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

(400/4)+(40/4)+(16/4)

400/4=100

40/4=10

16/4=4

100+10+4=114

Answer:

all 4 for the top

456 / 4 = 114

Step-by-step explanation:

if you add up 400, 40, and 16, then you have 456. So basically if you divide them all by 4, the answer of all those numbers will equal 114

Answer:

$34.81

Step-by-step explanation:

hope it helped! :)

Answer:

x=-1

Step-by-step explanation:

−3(3x−4)=2x+23

-9x+12=2x+23

-11x+12=23

-11x=11

x=-1

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

137 feet

Step-by-step explanation:

Answer:

230 unit^2

Step-by-step explanation:

[tex]From\ the\ information\ provided\ we\ know\ the\ coordinates\ of\ points:\\P(-11,20),L(-11,-3),A(-1,20),Y(-1,-3)\\Hence,\\PL =AY= 20+3=23\ units\\PY=LA=11-1=10\ units\\Hence,\\As\ we\ know\ that:\\Area\ of\ a\ rectangle=Length*BreadthArea\ of\ rectangle\ PLAY=23*10\\=230\ unit^2[/tex]

Answer:

[tex]\frac{5}{6}[/tex] quarts

Step-by-step explanation:

Total amount of drinks = [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{2}[/tex]

You would want to make the denominators the same before adding them, so I will multiply the first fraction by 2 and the second one by 3 so their denominators are 6.  

[tex]\frac{1}{3}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{6}[/tex] + [tex]\frac{3}{6}[/tex]

Now we can directly add them together while keeping the denominator the same.

[tex]\frac{2}{6}[/tex] + [tex]\frac{3}{6}[/tex] = [tex]\frac{5}{6}[/tex] quarts  

Answer:

HL

Step-by-step explanation:

The hypotenuse and the "leg" are congruent...along with the 90 degree angle.

"The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent." - Calcworkshop

Answer:

B

Step-by-step explanation:

If you plug in the coordinates, (5,3) gives 19 and (4,1) gives 18, which is what you want. Therefore, it is only (4,1)

Answer: B. Only 4,1

Step-by-step explanation:

Answer:

LOL um...... but he has a son sooooooooo

Step-by-step explanation:

Answer:

Lol. What the kelp. And a dad and son can't have- never mind

Step-by-step explanation:

Answer:

[tex]The\ brother's\ present\ age= 4\ years\\The\ sister's\ present\ age=8\ years[/tex]

Step-by-step explanation:

[tex]Let\ the\ brother's\ present\ age\ be\ x\\Hence\ we\ are\ given,\\His\ sister's\ present\ age=(2x)\\Now,\\The\ brother's\ age\ before\ two\ years=(x-2)\\The\ sister's\ age\ before\ two\ years=3(x-2)\\Also,\\His\ sisters\ age\ before\ two\ years=2x-2\\Hence,\\3(x-2)=2x-2\\3x-6=2x-2\\3x-2x=6-2\\x=4\\Hence,\\The\ brother's\ present\ age= 4\ years\\The\ sister's\ present\ age=2x=2*4=8\ years[/tex]

Answer:

The sister's present age is 8 years old, and the brother's present age is 4 years old.

Step-by-step explanation:

Let [tex]b =[/tex] present age of the brother, [tex]s =[/tex] present age of the sister

[tex]s-2 = (b-2)[/tex] × [tex]3[/tex]

[tex]s-2[/tex] = [tex]3b - 6[/tex]

[tex]s = 3b - 4[/tex]

[tex]s = b[/tex] × [tex]2[/tex]

[tex]= 2b[/tex]

[tex]sb-4 = 2b[/tex]  (proved from above equations)

[tex]b = 4[/tex]

[tex]\because s = 3b - 4[/tex]

[tex]\therefore[/tex][tex]s = 3[/tex]×[tex]4 - 4[/tex]

[tex]= 8[/tex]

[tex]\therefore[/tex] the brother's present age is 4 years old, and the sister's present age is 8 years old.

Hope this helps :)

Answer: B

Step-by-step explanation: I first simplified the expression which gave me 6^6 x 1/6^8 then, I reduced the expression with 6^6 which is now 1/6^2. After, I evaluated the power which is now 1/26. So the answer is B.