All categories

3 years ago

What is the y-intercept of the function described in the table?

Mathematics

2 answers:

Doss [256]3 years ago

7 0

Y intercept is 2 hope I. Helped

lord [1]3 years ago

3 0

Answer:

the y-intercept is 2.

Step-by-step explanation:

If you find the rate of change, which in this case is 1/-4, you can reverse the rate of change.

1 and -2

-1 (instead of adding 1) to x

+4 (instead of subtracting) to y

you get (0, 2).

Making the y-intercept 2.

You might be interested in

Where would someone need to know how to add or subtract fractions in the real world? Think of one idea and illustrate it below.

Nuetrik [128]

Answer:

Where would someone need to know how to add or subtract fractions in the real world?

A Good Example Would be Having a Party and you have to Cut the Cake and you have to have 5/10 Pieces left over. Therefore you would have to know How many pieces you are cutting of the fraction.

Hope this helps!

7 0

3 years ago

Write an expression in factored form that is equivalent to the expression 1/8x+16

vredina [299]

Step-by-step explanation: In order to factor an integer (the 8 in the fraction 1/8) we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5)

The number that each prime divides the original integer becomes it's exponent in the final result.

In the example: $\frac{1}{8} x+16$

Prime number 2 to the power of 3 equals 8.

$\frac{1}{2^3} x+16$

Now, we need to perform a multiplication. The following rule is applied: $\frac{A}{B} C=\frac{AC}{B}$

In the example: $\frac{1}{2^3} x+16$

The new factors in the numerator are: 1x.

Notice that all non-fractions are placed in the numerator.

The factors in the new denominator are: $2^3$

$\frac{x}{2^3} +16$

Now, we need to add the fractions. We use this rule: $\frac{A}{B} +\frac{C}{D} =\frac{\frac{LCD}{B}A+\frac{LCD}{D}C }{LCD}$

The example involved 2 terms. $\frac{x}{2^3} +16$

Note that 1 non-fractional term are treated as fractions with a denominator equal to 1.

The LCD is: $2^3$

$\frac{x}{2^3} +16$ changes to $\frac{x+(2^3)16}{2^3}$

We need to evaluate a power by multiplying the base by itself as many times as the exponent indicates.

In the example: $\frac{x+(2^3)16}{2^3}$ (the one in parenthesis)

Base 2 will be multiplied by itself 3 times.

2 x 2 x 2 = 8 ( $2^3$ = 8)

$\frac{x+8\times16}{2^3}$ (Notice that $2^3$ is now 8 in the fraction.)

Lastly, we multiply the 8 by 16 in the fraction, $\frac{x+8\times16}{2^3}$

8 x 16 = 128

$\frac{x+128}{2^3}$ (Notice that 8 x 16 is now 128 in the fraction)

Therefore, your answer is: $\frac{x+128}{2^3}$

5 0

3 years ago

A snowboarder leaves an 8-foot-tall ramp with an upward velocity of 28 feet per second. The function h   16t 2  28t 8 gives

mr_godi [17]

The complete question is;

A snowboarder leaves an 8-foot-tall ramp with an upward velocity of 28 feet per second. The function h = -16t² + 28t + 8 gives the height h (in feet) of the snowboarder after t seconds. The snowboarder earns 1 point per foot of the maximum height reached, 5 points per second in the air, and 25 points for a perfect landing. With a perfect landing, how many total points does the snowboarder receive?

Answer:

Total points earned with a perfect landing = 111 points

Step-by-step explanation:

First of all, let's find the maximum height of the given parabolic function h = -16t² + 28t + 8

h_max = c - (b²/4a)

where: a = -16, b = 28, c = 8

h_max = 8² - 28²/(4*(-16))

h_max = 64 + 784/64

h max = 76.25 ft ≈ 76 ft

The question says that the snowboarder earns 1 point per foot of the maximum height reached.

Thus, the points from the maximum height reached are 76 points

Now, let's find the maximum time in air by solving the equation for h = 0 Thus;

-16t² + 28t +8 = 0

Using quadratic formula,

t = [-28 ± √(28² - (4*-16*8))]/(2*-16)

t = 2 or -0.25

We'll use 2 as we are looking for maximum time.

The question says at maximum time, it's 5 points for each second in the air,

thus, points for seconds in air = 5 × 2 = 10 points

We are told 25 points for perfect landing.

Thus,

Total points earned with a perfect landing = 76 + 10 + 25 = 111 points

7 0

3 years ago

5th grade balance the checkbook

Citrus2011 [14]

What does this mean? I’ll answer your question in the comments.

5 0

4 years ago

Read 2 more answers

The perimeter of a rectangular garden is 9696 meters. The length is 6 meters longer than twice the width. Find the dimensions of

nalin [4]

length = 3234 m and width = 1614 m

let the width = w then length = 2w + 6

Perimeter = 2 ( length + width )

= 2 (2w + 6 + w ) = 2 ( 3w + 6 ) = 6w + 12

given perimeter = 9696 the equating gives

6w + 12 = 9696

subtract 12 from both sides

6w = 9696 - 12 = 9684

divide both sides by 6

w = $\frac{9684}{6}$ = 1614

width = 1614 m and length = (2 × 1614 ) + 6 = 3234 m

3 0

4 years ago