Paul uses the equation y=8x+40 to model the situation.


What does the number 40 represent in this equation? Be sure to explain using a complete thought!

Answers

Answer 1

Answer:

The point 40 refers to the y-intercept of the linear model

Step-by-step explanation:

Looking at the equation, we can conclude that it is the equation of a straight line or a linear equation.

What this means is that it follows the general form of the equation of a straight line which is

y = mx + c

where m is the slope and c refers to the y-intercept

when we say the y-intercept, we mean the point at which the straight line plot crosses the y-axis at which x = 0

Extrapolating this, we mean the term 40 in the model refers to the y-intercept of the given linear equation

it is at the point 40 that the straight line crosses the or touches the y-axis.

Also at this point, the value of x = 0


Related Questions

Grace is making lemonade. The directions say to mix 7 cups of water with 3 scoops of powdered lemonade mix. How many cups of water should she use with 6 scoops of fruit mix?

Answers

Answer:

You need 14 cups of water for 6 scoops of drink mix  since it is simply double the amount of scoops

Step-by-step explanation:

(1) 7 cups water/ 3 scoops mix=7/3

(2) x cups water/6 scoops mix=x/6

(3) 7/3=x/6

(4) 42/3=x

Been struggling with this question can someone help?

Answers

Answer:

a and b

Step-by-step explanation:

............. ...... ..

Answer:

The answer is B

Step-by-step explanation:

[tex]\frac{x}{4}=16\\\mathrm{Multiply\:both\:sides\:by\:}4\\\frac{4x}{4}=16\cdot \:4\\\mathrm{Simplify}\\x=64[/tex]

How many vertices does a closed cone have?

Answers

Answer:

A closed cone has 0 verticals.. but 1 vertice

Step-by-step explanation:

A potato was launched in the air using a potato gun. The function for the situation was h(t)=-16t^2 +100t+10, where t was the time in seconds and h is the height in ft. What was the maximum height? What was the lowest height of the potato? What was the lowest times that applies to the actual situation? What is the greatest time that applied to the situation? What are the domain and range of the function using set builder notation?

Answers

Answer:

The height equation is:

h(t)=-16t^2 +100t+10

A) To find the maximum height, we must find the time where the velocity is 0, so we must derive it with respect to the time.

v(t) = -2*16*t + 100 = 0

       t = 100/(2*16) = 3.125s

Now we put this time in our height equation:

h(3.125s) = -16*3.125^2 + 100*3.125 + 10 = 166.25 ft.

B) The lowest heigth of the potato will be h = 0ft, when the potato hits the ground.

C) the lowest time that works for that function is t = 0s, when the potato is fired by the gun.

D) the maximum time can be finded when the potato hits the ground, afther that point the equation does not work anymore, let's find it,

h(t) = 0 = -16t^2 +100t+10

we can solve it using Bhaskara's equation:

[tex]t = \frac{-100 +- \sqrt{100^2 +4*16*10} }{-2*16} = \frac{-100 +- 103.2}{-32}[/tex]

So the two solutions are:

t = 6.3s

t = -0.1s

We need to chose the positive time, as we already discused that the minimum time that works for the equation is t = 0s.

so here the answer is t = 6.3s

E) the domain is  0s ≤ t ≤ 6.3s

The range is 0ft ≤ h ≤ 166.25 ft.

The triangles shown below must be congruent

Answers

Answer:

True

Step-by-step explanation:

I'm not 100% but 90%

It is true that the triangles shown in the diagram are congruent triangles.

What are congruent triangles?

Two triangles are considered to be congruent triangles if two triangles have similar sizes and shapes. This implies that two triangles are defined to be congruent if the lengths of their individual sides and angles are the same.

The angle-angle-side (AAS) theorem states that when two angles and any side of a triangle are identical to two angles and any side of some other triangle, then the triangles are considered to be congruent triangles.

Therefore, since these assertions are true of the triangles given, we can conclude that the two triangles are congruent triangles.

Learn more about congruent triangles here:

https://brainly.com/question/27222633

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Which choice shows y = 2x + 2 and y= 2.1 correctly paired with their graphs?

Answers

The answer is the second option.

Easy question for y’all math ppl, easy points. Question in photo

Answers

Answer:

a

Step-by-step explanation:

it can be solved

Answer:

C.

Step-by-step explanation:

HELP PLEASE AAAAAAAAAAA

Answers

Answer:   last choice

In general if we have first term a[1] and common difference d, such that

a[n] = a[n-1] + d

then the explicit formula is

a[n] = a[1] + d(n-1)

First choice has d=-4 so needs a minus sign in the explicit formula.

Second choice has a=-100 so needs a negative sign for the 100.

Third choice swaps a[1] and d, oops.

IT IS D!!!!!!!!!!!!!!!!!!!!!!!!!!!

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

Opaca= 290kg   Llama=160kg

Step-by-step explanation:

x+y=450

3x=190+y

The answers

Alternate exterior angles

Corresponding angles

Same-side interior angles

Alternate interior angles

Answers

Answer:

alternate exterior angles

Step-by-step explanation:

so are 2 & 8

4(2v-6)-12v
Topic Name
Using distribution and combining like terms to simplify: Univariate

Answers

Answer:

-24+4v

Step-by-step explanation:

8v-24-12v

-24+4v

4( 3x +5 ) - 3 = 9x -7 what is x?

Answers

Answer:

x = -8

Step-by-step explanation:

4( 3x +5 ) - 3 = 9x -7

Distribute

12x +20 -3 = 9x -7

Combine like terms

12x+17 = 9x-7

Subtract 9x from each side

12x-9x +17 = 9x-9x-7

3x +17 = -7

Subtract 17 from each side

3x+17-17 = -7-17

3x = -24

Divide each side by 3

3x/3 = -24/3

x = -8

Answer: x= -8

Step-by-step explanation:

4 ( 3x + 5 ) - 3 = 9x - 7

12x + 20 - 3 = 9x - 7

12x + 17 = 9x - 7

subtract 9x from both sides

12x + 17 - 9x = -7

3x + 17 = -7

subtract 17 from both sides

3x= -7-17

3x= -24

divide both sides by 3

x= -24/3

simplify

x= -8

Laila pours some rice into a pan to cook for supper. For every 1 cup of uncooked rice, she needs to use 2 cups of water. Which equation could be used to find the amount of water, w, she should use to cook r cups of rice?

Answers

Answer: w=2r

Step-by-step explanation:

so let say the amount of water is y instead of w and the cup of rice is x instead of r.

so if we were to create a table we use the numbers given

x     y

1      2      so as the cup of rice increase by 1 cup the amount of water increase

2     4       by two.

3       6       so we know the slope is 2/1 so  the equation is w=2r  

Brady and 3 friends went to lunch at Mazzio’s Pizza. Their meal cost $32, and they left a 15% tip. How much was the total bill, including tip? Can someone please explain it to me how to do it?

Answers

Answer: $36.8

Step-by-step explanation:

From the question, we are told that Brady and 3 friends went to lunch at Mazzio’s Pizza and that their meal cost $32, and they left a 15% tip. Their total bill will be $32 plus 15% of $32. This can be written mathematically as:

= $32 + (15% of $32)

= $32 + (15/100 × $32)

= $32 + (0.15 × $32)

= $32 + $4.8

= $36.8

Their total bill is $36.8

Ray is buying some ginger roots to brew some fresh ginger ale. The price of the ginger roots is GG, and Ray has a coupon for 10% percent off.
The expression 0.9G represents the price Ray pays for the ginger roots after using the coupon.
What does 0.9 represent in this context?

Answers

Answer:

It represents the price that ray is actually paying. Instead of paying for 100% of the price, he is now only paying for 90%

Step-by-step explanation:

Find the value of the trig function indicated.
cos A

Answers

Answer:

cosΘ = [tex]\frac{9}{15}[/tex]

Step-by-step explanation:

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{9}{15}[/tex]

The exact of the trigonometric function associated with the right triangle is cos θ = 3 / 5.

How to compute the exact value of a trigonometric function

In this question we have a right triangle, whose all side lengths are known and the exact value of a trigonometric function (cosine function) associated with an angle must be found:

cos θ = x / r

Where:

x - Leg adjacent to angle.r - Hypotenuse

If we know that x = 9 and r = 15, then the exact value of the trigonometric function is:

cos θ = 9 / 15

cos θ = 3 / 5

To learn more on trigonometric functions: https://brainly.com/question/25618616

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What are the zeros of f(x) = x(x - 7)?
A. x = 7 only
B. x = 0 only
C. x = 0 and x = -7
D. x = 0 and x = 7

Answers

Answer:

The answer would be D

Step-by-step explanation:

I need help :( I don’t understand :(

Answers

Answer:

B. 2

Step-by-step explanation:

f(2) means the value of y when x = 2.

Look in the graph. Start at (0, 0), which is the point where the x-axis and the y-axis intersect. Now go 2 units to the right. That is where x = 2. Go up from there until you get to the red curve and stop. Now look to the left to see at what y-value you are. It is 2 on the y-axis. Since at x = 2, y = 2, then

f(2) = 2

define a power set give short answer plz

Answers

Answer:

In set theory, the power set (or powerset) of a a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P(A). Basically, this is the combination of all subsets including null set, of a given set

the power set (or powerset) of any set S is the set of all subsets of S, including the empty set and S itself, variously denoted as P(S), (S), ℘(S) (using the "Weierstrass p"), P(S), ℙ(S), or, identifying the powerset of S with the set of all functions from S to a given set of two elements, 2S.

For what values of the variable is the rational expression undefined?
5x +4/ x2-1

Answers

Answer:

When x = 1 or -1.

Step-by-step explanation:

When the denominator x^2-1 is zero the expression is undefined.

So the values of x cannot be  1  or -1.


To make one cheese sandwich, Tina uses one bread roll and two cheese slices.
Pack of 15 bread rolls
£1.91
Pack of 20 cheese slices
£2.23
She is going to buy enough packs to
have exactly twice as many cheese slices as bread rolls
make more than 100 cheese sandwiches.
Work out the least amount she can spend.​

Answers

Answer:

£42.04 is the correct answer.

Step-by-step explanation:

Cost of pack of 15 bread rolls = £1.91

Cost of pack of 20 cheese slices = £2.23

She has to buy exactly twice as many cheese slices as bread rolls.

She has to make more than 100 cheese sandwiches.

Number of bread rolls required for 100 bread rolls.

Minimum 15[tex]\times[/tex]7 = 105 bread rolls are to be bought.

105 bread rolls mean 210 cheese slices but it is a pack of 20 cheese slices.

So, at least 220 cheese slices can be bought.

But, 220/2 = 110 bread rolls are not possible to be bought.

So, at least 120 (15 [tex]\times[/tex] 8 i.e. 8 packs) bread rolls have to be bought and 120 [tex]\times[/tex] 2 = 240 (20 [tex]\times[/tex] 12 i.e. 12 packs) of sandwiches have to be bought.

So, minimum amount to be spent for at least 100 cheese sandwiches

= 1.91 [tex]\times[/tex] 8 + 2.23 [tex]\times[/tex] 12 = £42.04

Answer:

£42.04

Step-by-step explanation:

See your levels
unu
A 3-pack of plastic rings costs $0.54. What is the unit price?

Answers

Answer:

Each ring costs $.18

Step-by-step explanation:

Solve for z.

–8z + 17 = –13 + 2z

z =

Answers

Answer:

[tex] \boxed{z = 3} [/tex]

Step-by-step explanation:

[tex] = > - 8z + 17 = - 13 + 2z \\ \\ = > - 8z - 2z + 17 = - 13 \\ \\ = > - 10z + 17 = - 13 \\ \\ = > - 10z = - 13 - 17 \\ \\ = > \cancel{-} 10z = \cancel{-} 30 \\ \\ = > 10z = 30 \\ \\ = > z = \frac{30}{10} \\ \\ = > z = 3[/tex]

Answer:

z = 3

Step-by-step explanation:

→Add 8z to both sides:

-8z + 17 = -13 + 2z

17 = -13 + 10z

→Add 13 to both sides:

30 = 10z

→Divide both sides by 10:

3 = z

A person can plow all driveways with four wheel drive trucking 3 hours.Using snow blade on lawn tractor neighbor plows same number driveway in 7 hours. How long would it take them to work together

Answers

Answer:

The answer is 10

Step-by-step explanation:

The answer is 10 because you asked how long it would take for them to work altogether,3hrs + 7hrs is 10hrs

7+3=10
10/2=5
The answer should be 5 hours because you average it out. The question you wrote is a bit hard to understand too.

Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases. A number line goes from 0 to 36. Suitcase 1's whiskers range from 4 to 30, and the box ranges from 8 to 12. A line divides the box at 9. Suitcase 2's whiskers range from 2 to 20, and the box ranges from 5 to 18. A line divides the box at 7. Which statement is true about the box plots? The data for suitcase 1 have an outlier, but the data for suitcase 2 does not. The data for suitcase 2 have a greater median than the data for suitcase 1. The data for suitcase 1 has a greater interquartile range than the data for suitcase 2. The data for suitcase 2 has a greater range than the data for suitcase 1.

Answers

Answer:

The correct option is;

The data for suitcase 1 have an outlier but the data for suitcase 2 does not

Step-by-step explanation:

Range of a box plot

Interquartile range (IQR) for bot suitcases we have

Here we have for suitcase 1

IQR = Q₃ - Q₁ = 12 - 8 = 4

For suitcase 2

IQR = Q₃ - Q₁ = 18 - 5 = 13

Lower outlier = Q₁ - 1.5×IQR

Higher outlier = Q₃ + 1.5×IQR

For suitcase 1 we have;

Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)

Higher outlier = 12 + 1.5×4 = 18

Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier

For suitcase 2 we have;

Lower outlier = 5 - 1.5×13 = -14.5  (No lower outlier)

Higher outlier = 18 + 1.5×13 = 37.5

Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.

Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.

Answer:A

Step-by-step explanation:

took the test

what is the Greatest common factor for -8X²+ 24​

Answers

Answer:

8

Step-by-step explanation:

[tex] - 8 {x}^{2} + 24 \\ = 8( - {x}^{2} + 3) \\ [/tex]

Answer:

8

Step-by-step explanation:

-8(x^2-3)

I need help with these please 3-6 if you can

Answers

Answer:

Step-by-step explanation:

Work out m and c for the line: y = 5 x − 7

Answers

Answer:

Step-by-step explanation:

y = mx + c

y = 5x - 7

Slope m = 5

y-intercept c = -7

Answer:

m = 5

c = -7

Step-by-step explanation:

the formula for a line is mx+c where m is the gradient and c is the intercept.

In this case:

m = 5

c = -7

Hope this helps

Good Luck

shirley had $50. When she bought 3 CDs and 1 calendar at $6, the change was $8. What is the price of 1 CD?​

Answers

Answer: 12

Step-by-step explanation:

If you subtract 6 dollars from 50, you’ll get 44. 44 minus 12 three times is equal to 8

Answer:

$12

Step-by-step explanation:50-6

50-6-3(x)=8

44-3x=8

-3x=8-44

3x=36

36/3=12

a researcher creates two random samples, each with sample size of 12. he does not find a statically significant difference between the two groups. which of the following statements is correct? select all that apply a) since random samples were used, the conclusion b) the sample size does not impact results of statistical significance. c) since the sample size is small , the conclusion is likely to be untrue. d) since the sample size of each group is greater than 10, the conclusion is likely to be true

Answers

Answer:

c

Step-by-step explanation:

I think this is right

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Insurance cost will be $850 the first year, increasing by 2% per year thereafter. The American car will cost $35,000 and have fuel usage of 20mpg for the first 3 years, and will decrease by 3% per year thereafter. Repair cost will be $800 in year 1, increasing by 4% per year thereafter. Being an American, the graduate will price the pride of owning an American car at $0.4 for every 20 miles driven, increasing by 2% per year. Insurance cost will be $800 per year increasing by 2.2% per year. The car can be sold for $5500 at the end of year 8. If the graduate anticipates driving 150000 miles by the end of year 8 and the average interest rate is expected to remain at 5% per year, which car is economically affordable based on present worth analysis? Assume fuel cost will be $3 per gallon in year 1 and increase by an average of 2% per year. Show all your workings.