In an experiment, college students were given four quarters

2z² + z + C = A (z + 1)² + B (z + 1) + 4

Expand the right side completely and collect terms with the same power of z :

2z² + z + C = A (z² + 2z + 1) + B (z + 1) + 4

2z² + z + C = Az² + 2Az + A + Bz + B + 4

2z² + z + C = Az² + (2A + B)z + A + B + 4

Now match up terms on either side that have the same power of z. This gives

2 = A ................. (2nd power)

1 = 2A + B ......... (1st power)

C = A + B + 4 .... (0th power)

Solve for A, B, and C. The first equation gives A = 2 right away, so in the second equation we get

1 = 2*2 + B

B = -3

and in the third equation we get

C = 2 + (-3) + 4

C = 3

Answer: A) a translation 3 units down

Step-by-step explanation: Notice how your y-values are decreasing by 3.

y-values only increase or decrease, so if they’re decreasing, they are going down.

Hope this helps!

Answer:Total units would be: 3+4 = 7. value of 1 unit = 28/7 = 4. ratio would be 3(4) & 4(4) = 12 & 16

Step-by-step explanation:

Answer:

The answer is QR,RS, and ST

Step-by-step explanation:

i hope this helps .

64 because 4 turns into -8 -8 turns into 16 and 16 turns into -32 so it must be 64

Answer:

9

Step-by-step explanation:

18/ 2= 9

Answer:

-92.

Step-by-step explanation:

2 - 6 is -4.

-4 x 23 is -92.

Answer:

9/1 x 3/1

Step-by-step explanation:

Answer:

5 tickets

Step-by-step explanation:

45.50t + 14.99 = 242.49

          -14.99      -14.99

           45.50t = 227.5

                    t  = 5

Step-by-step explanation:

Answer: 21,135.08

Step-by-step explanation: because

22,450.89+5,676.63+15 ,670.25+10,067.15=53,864.92

so now 75,000 - 53,864.92 = 21,135.08 that's it

Answer:

Since it is a to-scale model,

the ratio of the wingspan to the length of both the airplanes must be equal

wingspan1 = 200 ft               wingspan2 = 30 cm

length1 = 240 ft                     length2 = x cm

wingspan1 / length1 = wingspan2/length2

replacing the variables

200 / 240 = 30 / x

x = 30 * 240/200

x = 36 cm

Therefore, the length of Emma's airplane is 36 cm

Answer:

Step-by-step explanation:

Answer:

$21.76

Step-by-step explanation:

15% of $25.60= $3.84

$25.60-$3.84= $21.76

Answer:

-1

Step-by-step explanation:

Answer:

50 8/63

Step-by-step explanation:

10*5=50

when multiplying fractions we have to multiply the numerators, then multiply the denominators.

2*4=8

7*9=63

hope this helps =3

sorry if im wrong

Answer:

Did you try this is a piece of cake

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

you do 3 *26

Answer:

responder

Step-by-step explanation:

Para sumar y restar fracciones, sus denominadores deben ser iguales. Por tanto, sumar o restar fracciones homogéneas es más fácil, dado que ya tienen el mismo denominador.

Answer:

Recuerda que cuando se suman fracciones homogéneas se hace lo mismo que cuando se suman objetos del mismo tipo. Por ejemplo, la suma tres décimos más dos décimos da como resultado cinco décimos: , por la misma razón que sumar tres vacas más dos vacas da como resultado cinco vacas.

Step-by-step explanation:

Answer:

2.5 minutes

Step-by-step explanation:

The answer is given in the word problem.

Answer:

the warmest is wilmington

Step-by-step explanation:

it's 0 degrees and the other ones are lower so i mean it's common sense positives are greater than negatives

Answer:

Wilmington

Step-by-step explanation:

All the others are negative, but Wilmington is zero degrees which is non negative.

Answer:

angle A is 53°

angle B is 90°

angle C is 37°

angle X is 53°

angle Y is 90°

angle Z is 37°

AB=3

BC=4

AC=5

XY=3

YZ=4

XZ=5

Answer:

Step-by-step explanation:

two angles are said to be supplementary if their sum is 180 degrees

Hence <1 + <2 = 180

Given

<1 = 28

Required

<2

Substitute into the formula

28+<2 =180

<2 = 180-28

<2= 152

Hence the measure of <2 is 152 degrees

Answer:

ACD

Step-by-step explanation:

(0,0) shows that the cost is 0 when the weight is 0,

(0.5,2) shows that when the weight is 0.5 pounds the cost is 2 dollars

same concept for D

Answer:

The constant of proportionality between d and h is 3.75

Step-by-step explanation:

The direct proportionality function is called any function in which the dependent variable (y) is obtained by multiplying the independent (x) by a constant value. This type of function is more commonly called a linear function and has an expression of the form:

y=m*x

The value m is a constant called the constant of proportionality or the slope of the line and represents the inclination of the line with respect to the abscissa axis, that is, the x axis. Graphically this linear function is a line with slope m that passes through the origin of coordinates, that is, the point 0 in x and 0 in y, which is the point (0,0).

You know that Bethany uses the equation d=3.75*h to find the distance, d, she travels while walking for h number of hours.  Comparing with the direct proportionality function y = m * x, then y is represented by the distance d, x is represented by the number of hours h and the constant of proportionality or slope m is the number 3.75.

So, the constant of proportionality between d and h is 3.75

Answer:

Since 1 quart is 2 pints, there are 10 pints in 20 quarts.

Step-by-step explanation:

Answer:

There are 10 quarts in 20 pints

Step-by-step explanation:

1 pint is equal to 0.5 quarts, So if you multiply 0.5 by 20, you get 10.

Answer:

Ghana Has 16 regions.

Step-by-step explanation:

Answer:

16 regions                    

No explanation because it isn't needed            

Answer:

I believe the answer is plane

Step-by-step explanation:

Answer:

plane

Step-by-step explanation:

Answer:

for 14).....ans: 0.01

Step-by-step explanation:

convert to a fraction,then convert to a decimal by dividing the numerator by the denominator.

hope this was useful!