A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.

Answers

Answer 1

Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.

Answer 2

Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.

Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.

Calculate 42.25 – (3 x 4.25).

The initial value is 29.50.


Related Questions

t - 10 + t = 40 what is the value of t

Answers

Answer:

t = 25

Step-by-step explanation:

t - 10 + t = 40

2t = 40+10

2t = 50

t = 50/2

t = 25

Hope this helps.

Answer:

Step-by-step explanation:

I will give brainliest answer

Answers

Answer:

≈ 93.06 cm²

Step-by-step explanation:

Subtract the area of the rectangle from the area of the circle

area of circle = πr² = π × 8² = 64π cm²

area of rectangle = 12 × 8 = 108 cm²

Thus

shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )

Answer:

The area of the shaded region = area of the circle - area of the rectangle

area of circle = πr² = π × 8² = 201.14 cm²

area of rectangle = 12 × 2 = 24 cm²

shaded area = 201.14 - 24 ≈ 177.14 cm²

will mark bianleast plz plz i really need this
The histogram shows the number of books read by people participating in a local book club. Which statement is best supported by this histogram?


Six people read more than 2 books.

Six people read between 6 and 8 books.

Most people read 3–5 books.

Three people read zero books.

Answers

Answer:

Six people read more than 2 books.

Step-by-step explanation:

Hope that helps

six people read more than 2 books, this is best supported by the histogram because 2 people read 3-5 and 4 read 6-8 books and this makes a total of 6 people because 2+ 4 = 6 which would come to the conclusion that six people read more than 2 books

What is the surface area of the prism, in square centimeters?

Answers

Answer:

182

Step-by-step explanation:

2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )

= {182cm}^{2}

The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,

Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)

Now, the Area of a rectangular face is,

Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)

        = 160 cm²

The area of the triangle base,

Area = 0.5 × 4cm × 6cm = 12 cm²

Further, the total area of the Prism will be,

Total surface area = 160cm² + 2(12cm²) = 184cm²

Hence, the total surface area of the prism is 184 cm².

Learn more about Area:

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Insert a digit to make numbers that are divisible by 24 if it is possible:
38__36

Answers

Answer:

Step-by-step explanation:

24=8×3

sum of digits is divisible by 3

and last three digits are divisible by  8.

3+8+3+6=20

if we add 1 then sum=21 which is divisible by 3,also 136 is divisible by 8

so 38136 is divisible by 24.

other number is  38736

I got the same correct answer as the person who answered it first , Hope this helps

koperasi sekolah membeli 5 lusin buku tulis dengan harga 30.000 tiap lusin. dari hasil penjualan itu koperasi memperoleh untung sebesar 30.000, maka harga jual satu buah buku tulis adalah

Answers

Answer:

c

Step-by-step explanation:

Answer:

letter C

Step-by-step explanation:

sorry if it's copy

plz answer this asap

Answers

H.

Explanation: A function only has one answer for each in put, but in this situation 2 has two answers(1 and 7). So H is NOT a function.

Can somebody help me please

Answers

Answer:

800

Step-by-step explanation:

900-100= 800

Therefore, the difference is 800. I hope this helps, have a great day!!!

Answer:

800

Explanation:

When solving this problem we need to remember that it is asking us to find how much money she gained throughout the day, NOT the total amount she had at the end of the day. To find how much money she gained, simply subtract one hundred by nine hundred.

900 - 100

800

Therefore, $800 was the change in how much money she had.

find the inverse of A(r)=15+3r

Answers

Answer:

A(r)=15-3r

Step-by-step explanation:

switch the sign of 3r to make it -3r

Which interval contains a local minimum for the graphed
function?
O [-4,-2.5)
O 1-2, -1]
O [1, 2]
O [2.5, 4]

Answers

Wow. Ik this it’s D. [2.5, 4]

a number t decreased by 2 is at least 7

Answers

Answer:
t - 2 ≥ 7; t ≥ 9

Explanation:
“a number t” = t
“decreased by 2” = - 2
“Is at least 7” = ≥ 7
So, t - 2 ≥ 7

To solve for t - 2 ≥ 7, add 2 to both sides of the equation

t - 2 ≥ 7
t - 2 + 2 ≥ 7 + 2
t ≥ 9

So, t ≥ 9

If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?

A. 3 Gallons
B. 20 Gallons
C. 6 Gallons
D. 1 Gallon

Answers

A. 3 Gallons

Step-by-step explanation:

1/3÷1/9

1/3÷1/9=1/3 x 9/1

(Then Multiply)

1x9/3x1= 9/3= 3

3 Gallons of paint

3 Galoons of paint is needed to pain the total gate.

What is unit rate?

Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.

Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,

Since,

1/3 gallons of paint is = 1/9 part of the gate,

Therefore,

1 gate = 1/3 x 9 = 3

Hence 3 Galoons of paint is needed to pain the total gate.

Learn more about unit rates, click;

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​Vanessa has 40 gallons of water to her new fish pond in her backyard and wants to add more water. Her pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes.

Answers

Answer:

A) 24*m + 40 ≤ 256

B) She could leave the house running for at most 9 minutes

Step-by-step explanation:

The missing questions are:

Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.

Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.

A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:

24*m + 40 ≤ 256

B)  Solving the previous equation:

24*m ≤ 256 - 40

m ≤ 216/24

m ≤ 9

pls help........................​

Answers

Answer:

30 in

Step-by-step explanation:

idk how to explain, so yea:)

Easy way to get points: What is 1+2+3+4+5+6+7+8+9+10?

Answers

Answer:55

Step-by-step explanation:addition

Solve the formula A= 8/2 for r.

Answers

Answer:

The steps are :

[tex]A = \pi {r}^{2} [/tex]

[tex] \frac{A}{\pi} = {r}^{2} [/tex]

[tex]r = \sqrt{ \frac{A}{\pi} } [/tex]

Therefore, the answer is B.

Answer: the answer is B.

How would you prove that the triangle below is equilateral?

A. Shows all angles to be congruent

B. Show all sides to be congruent

C. Show at least two sides to be congruent

D. Show two sides are of equal measure

Please help me with this I need help

Answers

Answer:

B. Show all sides to be congruent

Answer:

B. show all sides are congruent

Step-by-step explanation:

HEY PLEASE I NEED HELP IM OFFERING 30 POINTS

which point is a solution to the given system of inequalities
x+4y>12
3y>x+6
A.(-4,6)
B.(5,2)
C.(0,3)
D.(-2,3)

Answers

Answer:

the first option, (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!

Answer:

(-4, 6)

Step-by-step explanation:

If BCDE is congruent to OPQR then BE is congruent to _____

Answers

Answer:

If BCDE is congruent to OPQR then BE is congruent to RO

Please help with the question below

Answers

Answer:

Not a solution.

Step-by-step explanation:

2=-3/4(3)+3

2=-9/4+3

2 does not equal 3/4.

Therefore, it is not a solution.

Answer:

False

Step-by-step explanation:

Just plug it in.

[tex]2 = -\frac{3}{4}*3 + 3[/tex]

2 = -2.25 + 3

2 ≠ 0.75

It is not equal so it's false.

Can u please help me.

Answers

Answer: X60 degrees Y40 degrees

Step-by-step explanation: 180-120=60 the triangle is equal to 180-60=120 120-80=40

Help my please please

Answers

Answer:

Rectangle:6+5=11(Odd)

Triangle:6+6=12(even)

Star:4+3=7(odd)

Pentagon:9+8=17(odd)

Hexagon:6+6+12(even)

Circle:4+4=8(even)

Step-by-step explanation:

Hope this helps:)

Answer:

odd, even

odd, odd

even, even

Step-by-step explanation:

Number the pictures starting from left to right and the down, then pictures 1, 3 4 are odd

2, 5, 6 are even.

which of the following sets of sides could NOT form a right triangle:
a 3 — 4 — 5
b 6 — 8 — 10
c 8 — 14 — 17
d 9 — 40 — 41

Answers

Answer: C. 8-14-17

===================================================

Explanation:

Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = 5^2

9+16 = 25

25 = 25

We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2

This confirms a 3-4-5 triangle is a right triangle.

------

The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.

We can also see that choice D is a non-answer as well.

------

Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.

Let's see what happens when a = 8, b = 14, c = 17

a^2+b^2 = c^2

8^2+14^2 = 17^2

64+196 = 289

260 = 289 .... false equation

We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.

A line passes through the point (-3,1) and has a slope of -2

Answers

Answer:

Step-by-step explanation:

y - 1 = -2(x + 3)

y - 1 = -2x - 6

y - 1 + 1 = -2x - 6 + 1

y = -2x - 5

Jennifer is organising a street party. she needs to make 300 cakes. the recipe consist of : 50g icing, 150g butter, 120g caster sugar, 110g flour, 1 egg, 5h baking powder. this makes 12 cakes. how much of each ingredient will she need? kilograms.​

Answers

Answer:

1.25 kg of icing sugar

3.75 kg of butter

3 kgs of caster sugar

2.75 kgs flour

25 eggs

125g baking powder

Step-by-step explanation:

300/12 x (weight of ingredient)

Answer:

1.25kg icing

3.75kg butter

3kg caster sugar

2.75kg flour

25 eggs

125g baking powder    

Step-by-step explanation:

Above is 6 ingredients that is all part of your answer, but you show 300/12 as your first step in workings , the rest is multiplying by 25 as shown here.

300/12 = 25

25 x 50 = 1250g = 1.25kg

25 x 150 = 3750g = 3.75kg

25 x 120 = 3000g = 3kg

25 x 110 = 2750g = 2.75kg

25 eggs

25 x 5 = 125g

plz help plzzz thank you​

Answers

Answer:

rectangles

Step-by-step explanation:

convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.

if you're good at parabolas please help meeeee

Find the equation of the following parabola

Answers

Answer:

Step-by-step explanation:

it  is symmetric about y-axis and its axis is x=0

and vertex is (0,2)

so parabola is y=a(x-0)²+2

(2,4) lies on it.

4=a(2)²+2

4a=2

a=1/2

so y=1/2 x²+2

951/3 i dot know because it is to hard

Answers

Answer:

317

Step-by-step explanation:

951/ 3 is 317

for this problem you can use a calculator, or long division.

Find the volume. :D (MARKING BRAINLIEST)

Answers

Answer:

720 cubic units

Step-by-step explanation:

Answer:

360 cubic units

Step-by-step explanation:

volume of prism = area of base * height of prism

The base is a triangle with base = 6 ad height = 8

area of triangle = bh/2

V = bh/2 * height of prism

V = 6 * 8/2 * 15

V = 360 cubic units

The difference between a number and 13 is 25. What is the number?

Answers

Answer:

37 is the number

Step-by-step explanation

37- 13 = 25

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