Which of the following is a true statement about functions?

Please help quick! Proportions & Graphs

Triss [41]

Answer:

1. No

2. No

3. Yes

4. No

Step-by-step explanation:

The first one isn't proportional because it doesn't start at 0

The second one isn't proportional because there isn't a pattern between the coordinates

The 3rd one is a proportional relationship because it starts at 0 and there is an equal amount of space between each coordinate and there is evidentially a pattern.

Finally, the 4th one isn't proportional because the last coordinate doesn't correspond w/ the others

Plz mark me brainliest if correct :)

3 0

3 years ago

Find the surface area for and rectangular prism. The length is 3 ft. The width is 4 ft. The length is 5 ft.

Ivan

Answer:

Surface Area of rectangular prism = 94 feet²

Step-by-step explanation:

Length, l = 3 feets

Width, w = 4 feets

Height, h = 5 feets

Surface area, A of a rectangular prism is given as :

2(lw + lh + wh)

A = 2[(3*4) + (3*5) + (4*5)]

A = 2(12 + 15 + 20)

A = 2(47)

A = 94 ft²

6 0

3 years ago

Read 2 more answers

Find the 77th term of the arithmetic sequence -7, -2, 3, ...

sukhopar [10]

Answer:

373

Step-by-step explanation:

first you find the difference between the first two numbers so we do -7 minus -2=-5 then plug it in -7+5=-2 now plug in 5 for the next two numbers -2+5=3 so now we know the rule is +5 now we do 5*76=380 then we do -7+380=373

3 0

3 years ago

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the followin

romanna [79]

Answer:

see the procedure

Step-by-step explanation:

Let

x ----> the number of dogs

y ---> the number of cats

we know that

The ratio of the number of dogs to the number of cats is 4:5

so

$\frac{x}{y}=\frac{4}{5}$

$x=\frac{4}{5}y$ ----> equation A

That means ---> The number of dogs is 4/5 the number of cats

There are 270 animals on the rescue farm

so

$x+y=270$ ----> equation B

Substitute equation A in equation B

$\frac{4}{5}y+y=270$

solve for y

$\frac{9}{5}y=270$

$y=270(5)/9\\y=150\ cats$

Find the value of x

$x=\frac{4}{5}(150)=120\ dogs$

Verify each statement

a) The number of dogs is 4/5 the number of cats

The statement is true (see the explanation)

b) 4/5 of the pets at the farm are dogs

The statement is false

Because

(4/5)(270)=216 dogs

The number of dogs is 120 not 216 (see the explanation)

c) There are exactly 30 more cats than dogs

The statement is true

Because, there are 150 cats and 120 dogs (see the explanation)

d) There are exactly 30 dogs at the farm

The statement is false

Because, there are 120 dogs in the farm (see the explanation)

e) 5/9 of the pets at the farm are cats

The statement is true

Because

(5/9)270=150 cats

The number of cats is 150 (see the explanation)

7 0

3 years ago

A company manufactures three types of cabinets. It makes 110 cabinets each week. In the first week, the sum of the number of typ

miss Akunina [59]

Answer:

In the first week, the number of type-1 cabinets produced was 15,
the number of type-2 cabinets produced was 30,
the number of type-3 cabinets produced was 65.

Step-by-step explanation:

If we let a, b, c represent the numbers of type-1, type-2, and type-3 cabinets produced in the first week, respectively, we can write three equations in these unknowns:

a + b + c = 110 . . . . . total cabinets for the first week
a + 2b - c = 10 . . . . relationship of quantities in the first week
3a +0b +c = 110 . . . . total cabinets in the second week

It can be convenient to let a machine solver find the solution to this set of equations. Most graphing calculators can handle it, along with several web sites.

__

Solving by hand, we can subtract the second equation from twice the first. This gives ...

2(a +b +c) -(a +2b -c) - 2(110) -(10)

a +3c = 210 . . . . simplify

Subtracting this from 3 times the third equation gives ...

3(3a +c) -(a +3c) = 3(110) -(210)

8a = 120 . . . . . simplify

a = 15 . . . . . . . divide by 8

Using this in the third equation of the original set, we have ...

3·15 +c = 110

c = 65 . . . . . . subtract 45

Then, in the first equation, we get ...

15 + b + 65 = 110

b = 30 . . . . . . . subtract 80

The solution is (type-1, type-2, type-3) = (15, 30, 65) for the first week.

4 0

4 years ago

Read 2 more answers