Julian's shadow is 6 feet long. At the same time a 31 foot tall building casts a shadow that is 28 feet long. What proportion could be used to find Julian's height?A)
x
6
=
31
28
B)
x
6
=
28
31
C)
6
x
=
31
28
D)
x
28
=
31
6

Answer:

  None of the above

Step-by-step explanation:

See the attachment for x-intercepts and vertex coordinates. These coordinates do not match any of the answer choices.

___

The closest choice is the last one. It has the direction of opening and the intercepts correct, but the vertex coordinates wrong.

We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."

What is a parabola?

A parabola is a plane curve created by a moving point whose distance from a stationary point equals its distance from a fixed-line.

How do we solve the given question?

In the question, we are given an equation of f(x) = (x - 1)(x + 4), and are asked to identify its graph.

The given equation is of a parabola in the intercept form f(x) = a(x - p)(x - q), which opens up if a > 0 and opens down if a < 0, and which has a vertex at the point   , and passes through the point (p, 0) and (q, 0).

Comparing the equation f(x) = (x - 1)(x + 4) to f(x) = a(x - p)(x - q), we get

a = 1, p = 1, q = -4.

Since, a > 0 (a = 1), we can say that it opens up.

Now, we calculate (p + q)/2 = (1 - 4)/2 = -1.5

f((p + q)/2) = f(1.5) = (-1.5 - 1)(-1.5 + 4) = (-2.5)(2.5) = -6.25.

Thus, the vertex is at point (-1.5, -6.25).

Also, the equation passes through the points (-4, 0) and (1, 0).

∴ We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."

Learn more about a Parabola at

brainly.com/question/17987697

#SPJ2

Answer:

The price dropped by $42.

Answer:

From least to greatest in cost is Red, Brown, Purple, Silver.

Step-by-step explanation:

Ebba is buying bulk fabric and shopping for best deal, in order to calculate best deals of fabric we calculate per square yard of each fabric.

Purple : 6.5 square yard = $6.25

Therefore 1 square yard = 6.25 ÷ 6.5 = $0.96

Red : 4 square yard = $3.00

Therefore 1 square yard = 3.00 ÷ 4 = $0.75

Brown : 8.5 square yard = $8.10

Therefore 1 square yard = 8.10 ÷ 8.5 = $0.95

Silver : 6 square yard = $7.20  

Therefore 1 square yard = 1.20 ÷ 6 = $1.20

Now we arrange the fabric in order from the least to the greatest unit cost in dollars per square yard.

Red, Brown, Purple and Silver.

Answer:

The correct answer is B. $310 at $2 per kilogram

Step-by-step explanation:

1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:

function p(x)=–80x² + 320x – 10

For x = 1, price per kilogram of tomatoes would be: 4 - x = 3

–80x² + 320x – 10, replacing with x = 1

-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230

For x = 2 price per kilogram of tomatoes would be: 4 - x = 2

–80x² + 320x – 10, replacing with x = 2

-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310

For x = 3, price per kilogram of tomatoes would be: 4 - x = 1

–80x² + 320x – 10, replacing with x = 3

-80 * 3² + 320 * 3 - 10 = -720 + 960 - 10 = 230

The correct answer is B. $310 at $2 per kilogram

Answer:The correct answer is B.) $310 at $2 per kilogram

Hope this helps :D