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jarptica [38.1K]
3 years ago
14

Which linear equation is represented by the table? x −2 1 3 6 y 7 4 2 −1

Mathematics
1 answer:
n200080 [17]3 years ago
8 0

Answer:

help calll me daddy

Step-by-step explanation:

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Find the unit rate.<br> 48 cupcakes in 6 boxes=cupcakes per box
natka813 [3]

Answer: 8 cupcakes per box

Step-by-step explanation: "Per box" means in 1 box, so we can rewrite the given statement using fractions as

<em>48 cupcakes/6 boxes</em> = <em>__ cupcakes/1 box</em>.

To find out what goes in the blank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

to 48/6 that has a 1 in the denominator.

If we divide the numerator and denominator of 48/6 by 6,

we get the equivalent fraction 8/1 or <em>8 cupcakes/1 box</em>.

So now we have <em>8 cupcakes/1 box = __cupcakes/1 box</em>.

So an 8 must go in the blank which means that the unit rate

for 48 cupcakes in 6 boxes is <em>8 cupcakes per box</em>.

6 0
3 years ago
Read 2 more answers
1. What is the growth/ decay rate for this exponential function?
Firdavs [7]

Answer:

1. The growth rate is 2

2. The sample is losing half its mass, so the decay factor is 1/2 or 0.5

Step-by-step explanation:

The growth and decay factor in an exponential function is the number that is being multiplied to the power of x

  • It is a growth rate when that number is greater than 1
  • It is a decay rate when the number is less than 1
  • If it's 1 then it's not growing or decaying
  • If it's 0 you will have an answer of 0
8 0
3 years ago
You are constructing a cardboard box from a piece of cardboard with the dimensions 2 m by 4 m. You then cut equal-size squares f
postnew [5]

Answer:

Dimensions:

l =3,15 m

w=1,15 m

x= 0,42 m   (height)

V(max) = 1,52 m³

Step-by-step explanation:

The cardboard is L = 4 m   and   W = 2 m

Let call x the length of the square to cut in each corner, then, volume of open box is:

For the side L       is  L - 2*x               l =  4 - 2*x

For the side W      is  W - 2*x             w=  2 - 2*x

The height              is  x

Volume of the open box, as function of x is:

V(x) = ( 4 -2x) * ( 2 - 2x) *x    ⇒  V(x) = ( 8 - 8x -4x + 4x²) *x

V(x) = ( 8 -12x + 4x² )*x     V(x) = 8x - 12x² + 4x³

V(x) = 8x - 12x² + 4x³

Taking derivatives on both sides of the equation

V´(x) = 8 - 24x + 12x²

V´(x) = 0       8  - 24x + 12x² = 0     reordering    12x² - 24x + 8  = 0

or    3x² - 6x + 2 = 0

A second degree equation. Solving for x

x₁,₂  = ( 6 ± √36 - 24 ) /6

x₁,₂  = ( 6 ± 3.46) /6

x₁  =  6 + 3,46 /6     x₁  = 1.58  we dismiss such solution because 1,58 * 2 = 3,15 and is bigger than 2 one of the side of the cardboard

x₂  =( 6 - 3,46 ) / 6

x₂  = 0,42 m

Dimensions of the open box

l  = 4 - 2*x     l  = 4 - 0,85      l  =  3,15 m

w = 2 -2*x    w  = 2 - 0,85     w = 1,15 m

x = 0,42 m

V(max) =3,15*1,15*0,42

V(max) = 1,52 m³

8 0
3 years ago
Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The
torisob [31]
It equals to 3t=8
So Michele is correct
8 0
3 years ago
Solve formula for B v= 1/3Bh
MaRussiya [10]

v = 1/3Bh

Divide both sides by h.

v/h = 1/3B

Multiply both sides by 3.

3v/h = B

\boxed {B = \frac{3v}{h} }

5 0
3 years ago
Read 2 more answers
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