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patriot [66]
3 years ago
6

The scatter plot shown gives the relationship between weekly pizza orders and the price per pizza, along with the line of best f

it. About what price is predicted when the demand is five pizzas?
I'm not sure of the answer ,and I'm not that good with graphs.So thanks for help ,who ever responds :)

Here's the answer choices:


A) $4.00


B) $5.00


C) $6.00


D) $7.00

Mathematics
2 answers:
Bess [88]3 years ago
7 0

Answer:

The answer is $5.

Step-by-step explanation:

When the demand is five pizzas, the $5 is predicted as the line is passing close to the $5 mark.

A line of best fit or also called the trend line is a straight line that may pass through some of the points, none of the points, or all of the points.

UNO [17]3 years ago
5 0
Based on your plot points, the best answer seems to be B) $5.00 

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Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

(x-2)\\ (x-3)\\ (x-5)

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

x=2\\ x=3\\ x=5

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0

therefore

the answer Part b) is

the cubic polynomial function is equal to

x^{3}-10x^{2} +31x-30=0

7 0
3 years ago
Read 2 more answers
Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does the line with equatio
lina2011 [118]

Answer:

The point of intersection is:

\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)

Step-by-step explanation:

We want to find the point in QI at which the line with the equation:

y=0.5x+5

Intersect a circle with a radius of 3 and a center of (0, 5).

First, write the equation of a circle. The equation for a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is (0, 5), <em>h</em> = 0 and <em>k</em> = 5. The radius is 3. So, <em>r</em> = 3. Substitute:

(x-0)^2+(y-5)^2=(3)^2

Simplify:

x^2+(y-5)^2=9

At the point where the two equations intersect, its <em>x-</em>coordinate and <em>y-</em>coordinate will be the same. Therefore, we can substitute the equation of the line into the equation of the circle and solve for <em>x</em>. So:

x^2+((0.5x+5)-5)^2=9

Simplify:

x^2+(0.5x)^2=9

Square:

x^2+0.25x^2=9

Combine like terms:

\displaystyle 1.25x^2=\frac{5}{4}x^2=9

Solve for <em>x: </em>

<em />\displaystyle \begin{aligned} x^2&=\frac{36}{5} \\ x&=\pm\sqrt{\frac{36}{5}} \\ x&\Rightarrow \frac{6}{\sqrt{5}}=\frac{6\sqrt{5}}{5}\approx2.68\end{aligned}<em />

Note that since we are looking for the point of intersection in QI, <em>x</em> should be positive. So, we can ignore the negative answer.

To find the <em>y-</em>coordinate, substitute the <em>x-</em>value back into either equation. Using the linear equation:

\displaystyle y=0.5\left(\frac{6\sqrt{5}}{5}\right)+5=\frac{3\sqrt{5}}{5}+5\approx 6.34

So, the point of intersection in QI is:

\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)

6 0
3 years ago
Clarissa paid $1.12 for a dozen of eggs at her local grocery store. Determine the cost of 5 eggs
Kaylis [27]
It would be about 46¢
5 0
3 years ago
Please help with this question!!!
dolphi86 [110]

Answer:

a) 8

b) -3.2, 0.8

c) see attached

Step-by-step explanation:

a) The y-intercept is the value of the expression when x=0. Since all the x-terms vanish in that case, the y-intercept is the constant, 8. Expressed as an ordered pair, it is (0, 8).

b) I personally find it useful to use graphing to find the x-intercepts to low or moderate precision. The attached shows them to be -3.2 and +0.8. (Graphing is <em>my</em> "process.")

The quadratic formula can be useful for finding the zeros when there is no obvious factorization. Here, we have a=-3, b=-7, c=8 to put into the formula

... x = (-b±√(b²-4ac))/(2a)

... x = (-(-7)±√((-7)²-4(-3)(8)))/(2(-3)) = (7±√145)/-6 ≈ -1.167 ± 2.007

... x ≈ {-3.2, 0.8}

5 0
3 years ago
Dave worked 30 hours this week. He makes $15 per hour. What is Dave’s gross pay?
djverab [1.8K]

Answer:

$450 of gross pay

4 0
3 years ago
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