As a large truck fills its gas tank, the amount of gas, in gallons, can be modeled with the linear function

g = 4t + 8


c.) What is the y- intercept and what does it represent in this problem

D.) What is the Slope and what does it represent in this problem

Answers

Answer 1

Answer:

c. (0, 8), it is how much gas the truck started with

d. slope = 4, the truck is filling at a rate of 4 gallons per t (probably minute)

Step-by-step explanation:


Related Questions

what is the answer -v+91=261

Answers

Answer:

v = -170

Step-by-step explanation:

-v + 91 = 261

(-v + 91) - 91 = 261 - 91

-v = 170

-v / -1 = 170 / -1

v = -170

Step-by-step explanation:

(-v) +91 = 261

(-v) =91=261

(-v)=261-91

(-v)=170

v= - 170 (change the signs)

Hamilton's rule is "Add 4." If he starts with 8, which number would be the 5th number in his pattern?

A. 28
B. 24
C. 20
D. 12

Answers

Answer:

B. 24

Step-by-step explanation:

If N1 = 8;

N1 + 4

8 + 4 = 12 =N2

N2 + 4

12 + 4 = 16 = N3

N3 + 4

16 + 4 =20 = N4

N4 + 4

20 + 4= 24 = N5

3a2 + 2a + 2a2 is equal to​

Answers

Answer:

  5a^2 +2a

Step-by-step explanation:

Like terms are ones with the same exponent of x. They can be combined.

  3a^2 +2a +2a^2

  = (3a^2 +2a^2) +2a

  = (3+2)a^2 +2a

  = 5a^2 +2a

5a² + 2a

Step-by-step explanation:

[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]

[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]

[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]

The value of y varies directly with x. If x = 8, then y = 96. What is the value of x when y = 168?

Answers

Answer:

x = 14

Step-by-step explanation:

Direct variation equation:

y = kx, where k is constant of variation

Given:

96 = 8kk = 96/8k = 12

The equation is:

y = 12x

Find the value of x when y = 168:

168 = 12xx = 168/12x = 14

A town population of children increased from 367 to 421 during the past year which equation showes how to find the percentage increase

Answers

Answer:

5.7%

Step-by-step explanation:

421-367=24

24/421x100=5.7%

Hey yall I need help on this question pls give explanation

Answers

Answer:

0.5 liters

Step-by-step explanation:

If they were to get 0.25 then they would still be missing some more for the recipe. If they get 0.5 then they would have just a tad bit leftover. Less than 0.027 liters. Which is the smallest amount that they can have left over. 1liter and 1.5liters are over twice the amount of the recipe. So that wouldn't be a wise choice unless they wanted to make double or triple the recipe.

Answer:

The answer is 0.5 liter

Step-by-step explanation:

Because 0.25 liter ÷ 0.5 liter = 0.5 liter

if p =5 q =3 find the value of 9p2²- 5q² ​

Answers

Answer:

Answer is in the attached file.

Will mark brainliest

Answers

Answer:

Quadrant 2 (-2,1)

Step-by-step explanation:

Answer:

you anwser would be quadrant 3 please mark brainliest

Step-by-step explanation:

mikah bought a dozen cupcakes for her friends birthday. if she paid 3.48 dollars for the cupcakes what was the cost per cupcake. explain please

Answers

12 cupcakes = $3.48
1 cupcake = $3.48/12 = $0.29

Each cupcake must equal $0.29. To prove this, if we multiply 0.29 by 12, we should get her original cost of $3.48.

Rewrite using the distributive property and the GFC
13+26 ?

Answers

Answer: 13 ( 1 + 2 )

Step-by-step explanation:

13 ( 1 + 2 ) = 13 + 26

A triangle has a perimeter of 29 inches. Two of the other sides measure 9 inches and 9 inches. What is the length of the third side?

Answers

Answer:

Step-by-step explanation:

The perimeter = side1 + side2 + side3

P = 29

side1 = 9

side2 = 9

29 = 9 + 9 + side3

29 = 18 + side3           Subtract 18 from both sides

11 = side 3

Answer:

hb≈7.12in

a Side

9

in

c Side

9

in

P Perimeter

29

in

γ

c

a

h

b

b

h

b

h

b

c

γ

a

b

a

c

b

γ

P

c

γ

a

b

A

Using the formulas

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

P=a+b+c

s=a+b+c

2

Solving forhb

hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2

2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92

2·9﹣2·29+2·9≈7.1239in

Step-by-step explanation:

Your class is learning to tie knots. Each student needs a piece of rope that is 3/4 yard long. How many yards of rope are needed for the 20 students in your class?

Answers

Answer:

15

Step-by-step explanation:3/4*20=15

1/100 = ?/? x 1/1000

Answers

Answer:

10 or 10/1

Step-by-step explanation:

1/1000 * 10= 0.01 = 1/100

Find the simple interest on Rs. 4500 for 6 months at
the rate of 5 paise per rupee per month.
helping help​

Answers

$1350
4500*6*1/2= 1350

WILL GIVE BRAINLIEST!!
Which is one solution, no solution, and infinite solutions?

3(4x-2) = 12x - 6
3(4x-2)= -12x - 6
-3(4x-2) = -12x - 2

Answers

Step-by-step explanation:

3(4x - 2) = 12x - 6

12x - 6 = 12x - 6

that is always true, no matter what value we pick for x.

so, this has infinite many solutions.

3(4x - 2) = -12x - 6

12x - 6 = -12x - 6

24x = 0

x = 0

this has one solution.

-3(4x - 2) = -12x - 2

-12x - 6 = -12x - 2

-6 = -2

this is never true, no matter what value we pick for x.

so, this has no solution at all.

Answer:

see below

Step-by-step explanation:

Hi!!

Here's how I found it:

First, I simplified all my equations.

1.12x-6=12x-6

2.12x-6=-12x-6

3.-12x+6=-12x-2

#1 has infinite solutions, given that the equations are identical to eachother. Any value of x will sufice.

#2 can be simplifed with algebra.

Cancel out the -6, since it is on both sides.

we are left with 12x=-12x, which can be solved with the value of 0. This has one solution.

#3 can also be simplifed using algebra.

Cancel out the -12x, since both sides have that.

you are left with:

6=-2

this will never have a solution, therefor, it is no solution.

In ΔFGH, f = 830 inches, g = 460 inches and h=500 inches. Find the measure of ∠H to the nearest degree.

Answers

Answer:

32 degrees

Step-by-step explanation:

The law of cosines can be used for this:

 h^2 = f^2 +g^2 -2fg·cos(H)

 cos(H) = (f^2 +g^2 -h^2)/(2fg)

 cos(H) = (650,500/763,600)

 H = arccos(6505/7636) ≈ 31.5826°

work out m and c for the line: 5x-3y+4=0

Answers

Answer:

[tex]m = \frac{5}{3}[/tex]  

[tex]b = \frac{4}{3}[/tex]

Step-by-step explanation:

The question requires you to rearrange the equation into the form:

y = mx + c

Which is the straight line equation, meaning rearrange for y:

Add 3y to both sides of the equation:

5x - 3y + 4 = 0

5x - 3y + 4 + 3y = 0 + 3y

5x + 4 = 3y

Divide both sides of the equation to isolate y:

[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]

[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]

This means that  [tex]m = \frac{5}{3}[/tex]  and [tex]b = \frac{4}{3}[/tex].

Hope this helps!

Answer:

m = 5/3 and c = 4/3.

Step-by-step explanation:

5x - 3y + 4 = 0

-3y = -5x - 4

y = (-5/-3)x - 4/-3

y = 5/3 x + 4/3

y  = mx    +  c

So m = 5/3 and c = 4/3

What is the perimeter and area of this shape

Would help if you explained why

Will give brainliest

Answers

Answer:

area: 133.5 m²perimeter: 52.02 m

Step-by-step explanation:

Area

The area of each trapezoid can be found using the relevant formula:

  A = 1/2(b1 +b2)h . . . . b1, b2 are the base lengths; h is the height

For the top trapezoid, the height is 13 m-7 m = 6 m, so the area is ...

  A = 1/2(8 m +5 m)(6 m) = 39 m²

The area of the bottom trapezoid is ...

  A = 1/2(10 m +17 m)(7 m) = 94.5 m²

The area of the shape is the sum of the areas of the two trapezoids.

  area = 39 m² +94.5 m² = 133.5 m² . . . . area of the figure

__

Perimeter

The horizontal lengths are all marked, but the slant lengths are not. There are no angles or other information given that can help determine the slant lengths. In order to answer the question, we can assume that the trapezoids are isosceles. Then the base of the right triangle shown in the top trapezoid is (8 -5)/2 = 1.5 m. The height is 6 m. The Pythagorean theorem tells us the slant length is ...

  s1 = √(1.5² +6²) ≈ 6.1847 . . . . meters

Similarly, the base length of the right triangle shown next to the bottom trapezoid is (17 -10)/2 = 3.5 m. The height is 7 m. The slant length of that one is ...

  s2 = √(3.5² +7²) ≈ 7.8262 . . . . meters

__

The perimeter is the sum of the lengths of the sides. Note that the 17 m dimension includes 8 m that are not part of the boundary of the figure. The sum of lengths of the horizontal edges is ...

  10 m +(17 -8 m) +5 m = 24 m

The sum of the lengths of the slant edges is ...

  2·s1 +2·s2 = 2(6.1847 +7.8262) ≈ 28.02 . . . . meters

The perimeter of the figure is the sum of horizontal lengths and slant lengths:

  24 m + 28.02 m = 52.02 m . . . . perimeter of the figure

One step equations- solve for "X" or find it. Please help
3x=-12
14x=280
x+6=-5
x+27=125
x-324=760
x-43=35
x/6=-24
x/13=214
26-x=47
-x/3=-998
I know, I always put 100 points, I just like giving extra points :) Merry almost Christmas also!!!

Answers

Since these are one-step equations we only have one step.

To solve, these single steps will include the following:

[1] addition (+)

[1] subtraction (-)

[2] division (/ or ÷)

[2] multiplication (* or x)

How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets"  of which we use.

[] 3x = -12

     -> -4

We have multiplication so we will divide -12 by 3 for an answer of -4

[] 14x = 280

     -> 20

We have multiplication so we will divide 280 by 14 for an answer of 20

[] x + 6 = -5

     -> -11

We have addition so we will subtract 6 from -5 for an answer of -11

[] x + 27 = 125

     -> 98

We have addition so we will subtract 27 from 125 for an answer of 98

[] x - 324 = 760

     -> 1,084

We have subtraction so we will add 324 to 760 for an answer of 1,084

[] x - 43 = 35

     -> 78

We have subtraction so we will add 43 to 35 for an answer of 78

[] x/6 = -24

     -> -144

We have division so we will multiply 6 by -24 for an answer of -144

[] x/13=214

     -> 2,782

We have division so we will multiply 13 by 214 for an answer of 2,782

[] 26 - x = 47

     -> -21

We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x

Then, we have addition so we will subtract 47 from 26 to get an answer of -21

[] -x/3=-998

     -> 2,994

First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]

Then, we have division so we will multiply -3 by -998 for an answer of 2,994

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

If a store sells 300 flat screen TVs and 30% of high definition, how many high definition TVs were sold?

Answers

90 Tv’s are high def! 300/100 = 3 (this is what 1% equals because there’s 100% total) so if we know 1% is 3 tv’s and 30% are high def, then we find out how many tv’s 30% is. so if 3 is 1% then 30 x 1= 30 then 30x3 = 90!

What is 4 pounds as ounces? *

Answers

Answer:

64

Step-by-step explanation: I looked it up

The answer is 64 ounces

A triangle has sides represented by 9, x, and x + 2. If the
perimeter is 35, find the length of the longest side.

Answers

Answer:

14.

Step-by-step explanation:

1) if the sides of the given triangle are 'a'=9, 'b'=x and 'c'=x+2, then its perimeter can be written as: P=a+b+c or P=9+x+x+2;

2) if according to the condition P=35, then 9+x+x+2=35;

2x=24; ⇒ x=12;

3) if x=12, then a=9; b=12 and 14;

4) finally, c=14 - the required longest side.

help me no bots I need help pls give me all 3 answers!

Answers

Answer:

y= -10x+70

slope being -10 and y-intersept being 70

Step-by-step explanation:

Answer:

Equation: y=-10x+70

Slope: -10

Y-Intercept: 70

Hope this helps!

Step by step? Just ask.

Doubt? --> comment section.

Happy Holidays! (✿◡‿◡)

Write an equation in slope-intercept form of the line that passes through the given point
and the given slope.
(-2,-4); m = -3
O y=-3x - 6
O y=-3x - 10
O y=-3x + 10
O y=-3x + 2

Answers

Answer:

it's y=-3x-10

Help help me help help plz plz help help plz help me help plz plz help help plz

Answers

Answer: you give us that picture, but what are the instructions?

Step-by-step explanation:

Answer:

oh you have to draw for this assignment.. sad

Step-by-step explanation:

You are given a picture that is 2 inches wide and 3 inches tall. You have to make a
poster that is 12 inches wide. How many inches tall would the poster be? *
O 10 inches
12 inches
15 inches
O 18 inches

Answers

Answer: 18 inches

Step-by-step explanation:

2 x 6 = 12 inches (wide)

3 x 6 = 18 inches (tall)

Given that x=2, y=5 and z=3 evaluate the value of x-2y

Answers

Answer:So firstly, plug in the numbers into the expression:

Next, solve the exponents:

Next, solve the multiplications:

Lastly, combine everything, and your answer will be -23.

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

By substituting the given numeric values for x,y and z into the expression.

That is

(3)3−2(5)2−3(3)3+(−3)4

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

I'll evaluate each term separately.

(3)3=3×3×3=9×3=27

2(5)2=2×(5×5)=2×25=50

3(3)3=3×(3×3×3)=3×27=81

(−3)4=[(−3)×(−3)]×[(−3)×(−3)]=9×9=81

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

Replace these values back into the expression , noting the values which are subtracted.

⇒27−50−81+81=27−50=−23

110 < 2x + 10 pls helppppppp

Answers

110<2x+10

Step 1: Flip the equation.

2x+10>110

Step 2: Subtract 10 from both sides.

2x+10−10>110−10

2x>100

Step 3: Divide both sides by 2.  

x>50

Step-by-step explanation:

PLEASE HELP WORTH 50 POINTS!

Answers

Jessica’s mistake is that when isolating h from b, she multiplied b instead of dividing it on both sides. The new formula for h would be A/2b=h.
Now let’s solve. 23/2(6)=h
23/12
Approx. 1.91

Answer:

the question was not correctly solved

Step-by-step explanation:

A=½bh

23=½*b*h

²/1×23= bh

²/1×23=6h

46=6h

h=7.666666667 / h=23/3

I hope this is helpful

need help with these problems asap!!

Answers

Answer:

hehehehehehe

Step-by-step explanation:

ssa

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