A polynomial function has zeros -1, 2, and 7 (all multiplicity 1). Write a function in standard form that could represent this function.

Answer:

the graph is the one with h(x)=2x-6

Step-by-step explanation:

it will hit the y-axis at (0,-6) and it will hit the x-axis at (3,0)

The graph of h(x)=p(x)-6 is shown below.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

We are given that;

p(x)=2x

Now,

To find the graph of h(x) = p(x) - 6, we need to use the concept of transformations of functions. A transformation is a change in the position, shape, or size of a function’s graph.

To graph h(x), we can start by graphing p(x) = 2x and then shifting it down by 6 units. The graph of p(x) is a straight line that passes through the origin and has a slope of 2. To shift it down by 6 units, we can subtract 6 from the y-coordinate of every point on the line. For example, the point (1, 2) on p(x) becomes (1, -4) on h(x).

The graph of h(x) is also a straight line that has the same slope as p(x), but has a y-intercept of -6. The equation of h(x) is y = 2x - 6.

Therefore, the graph of the function will be shown below.

Learn more about points lying on graph of a function here:

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Answer:

Trudy will have 4 pieces of the fabric.

Step-by-step explanation:

Since, 1 foot of the fabric = 12 inches

If Trudy cuts the fabric into pieces of 3 inch.

Number of pieces she will have = [tex]\frac{\text{Total length of the fabric}}{\text{Length of one piece}}[/tex]

                                                     = [tex]\frac{12}{3}[/tex]

                                                     = 4 pieces

Therefore, she will have 4 pieces of the fabric.

Answer:

1) b - correct statement: The interquartile range of the number of volunteers is 16

2) c - correct statement: About 50% of the students have between a 75 and a 90

Step-by-step explanation:

1B --> 66 - 50

2C --> About 50% of the students have between a 75 and a 90

Answer:

D

Step-by-step explanation:

Look at where the graph intercepts on the x-axis

If u can't see it's 2 and 10

Answer:

the answer is D

Step-by-step explanation:The answer is 2 and 10 because its directly on the line.

Hope I helped

Answer:

9.549296

Step-by-step explanation:

30/pi = 9.549296 for diameter

Answer:

378x³⁰²

Step-by-step explanation:

378x378x378x378x378x378x378x378x378

=378*x^378*x^378*x^378*x^378*x^378*x^378*x^378*x^378

=378*x3024

=378x³⁰²

Hope this helps

Answer:

First one true, second false, third true

Step-by-step explanation:

Answer:

Not a right triangle

Step-by-step explanation:

Find AC by doing 22-13=9

Use Pythagorean Theorem to determine if it is a right triangle.

8 squared plus 5 squared=89

Square rt= 9.43

And 9.43 is not equal to 9.

Answer: 2

2x-7=11  X=9  set up the up the negative portion of solutions Set up the negative portion of the 2x - 7= - 11   x= -2  and then x = 9,-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2x+7≥-11

-2x≥-18

2x≤18

x≤9

Answer:

Step-by-step explanation:

Through is upholstering a rectangular ottoman that measures 21 cm x 18 cm x 15 cm. What will be the total square centimeters of fabric that Sue must use to cover all faces of the Ottoman

Answer:

The volume of the snow globe is 78 cubic inches.

Step-by-step explanation:

Given:

A snow globe consists of a pedestal in the shape of a cube with a sphere mounted on top of the pedestal. The pedestal has an edge length of 4 inches and the sphere has a diameter of 3 inches.

Now, to get the volume of the snow globe.

So, we get the volume of pedestal which is in the shape of cube by putting formula:

Edge = 4 inches.

Volume of pedestal = 64 cubic inches.

Now, to get the volume of sphere by putting formula:

Diameter = 3 inches.

Radius () =

Volume of sphere = 14.131 cubic inches.

Now, to get the volume of snow globe by adding both the volumes, the volume of sphere and the volume of pedestal:

Rounding to the nearest cubic inch = 78 cubic inches.

Therefore, the volume of the snow globe is 78 cubic inches.

Answer:

look at the answer below

Step-by-step explanation:

this is xy + 25 = 0 if you wanted it. hope it helps

Answer:

(Rational Functions Practice)

3. Graph the function. (1 point)

xy+25=0

Step-by-step explanation:

Graph B. is the correct answer

Answer:

12×5+45-36=60+9=69 is your answer

Answer:

12×5=60+45=105-36=69

Answer:

695.4

Step-by-step explanation:

Answer:

11 = (15 -6r) + 2r

11= 15-6r+2r

11=15-4r

4=4r

r=1

Answer:

B.) y - 6 = -8/5(x + 2)

Step-by-step explanation:

Remember in order to find the slope intercept form on 2 points, you need these equations: [tex]\frac{x_2 -x_1}{y_2 -y_1}[/tex] and [tex]y-y_1=m(x-x_1)[/tex]

To find the slope, you will need to use the first equation. In this case the equation will look like this: [tex]\frac{(-2)-6}{3-(-2)}=-\frac{8}{5}[/tex]

Then use the second equation, plug in the numbers, and you will get B as your answer

Answer:

1 1/2 feet

Step-by-step explanation:

Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood he uses 2 3/4 feet for the whole and 1 1/4 feet for a paddle how much does he have left

This is calculated as:

5 1/2 feet - ( 2 3/4 feet + 1 1/4 feet)

Lowest Common Denominator 4

5 1/2 feet - (2 + 1 ( 3 + 1/4)

5 1/2 feet - 3 + 1

5 1/2 feet - 4 feet

= 1 1/2 feet of wood left

Answer:

0.6710

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 107 mm

σ is the population standard deviation = 5 mm

For x = 104 mm

z = 104 - 107/5

z = -0.6

Probability value from Z-Table:

P(x = 104) = 0.27425

For x = 115 mm

z = 115 - 107/5

z = 1.6

Probability value from Z-Table:

P(x = 115) = 0.9452

The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:

P(x = 115) - P(x = 104)

0.9452 - 0.27425

= 0.67095

Approximately = 0.6710

Answer:

What you did is correct!

Answer: y = 4

Step-by-step explanation:

Answer:

25p^12q^6πcm²

Step-by-step explanation:

Given the area of the circle expressed as;

A = πr^2

Given

r = 5p^6q^3 cm

Substitute into the formula

A = π(5p^6q^3 )²

A = π(25p^12q^6)

A = 25p^12q^6πcm²

hence the area of this circle in square centimeters is 25p^12q^6πcm²

The area of the circle whose radius be 5p⁶q³ is 25πp¹²q⁶ square centimeters.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circle has a radius of [tex]\rm 5 \ p^6 \ q^3[/tex] cm.

The area of the circle can be found using the formula

[tex]\rm A = \pi \ r^2[/tex]

Then the area of the circle will be

[tex]\rm A = \pi (5 \ p^6 \ q^3)^2\\\\A = \pi * 5^2 \ (P^6)^2 (q^3)^2\\\\A = 25 \ \pi \ p^{12} \ q^6[/tex]

Thus, the area of the circle is 25πp¹²q⁶ square cm.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

24×36×5=4,320

4,320÷6=720

Answer:

I don't understand your question.

Answer:

well this is the answer

Step-by-step explanation:

Answer:

D.  y = -2/3 x + 4/3

Step-by-step explanation:

When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.

To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b

y = -2/3x + b

2 = -2/3(-1) + b

2 = 2/3 + b

4/3 = b

So the equation is y = -2/3 x + 4/3.

Answer:

75 square feet

Step-by-step explanation:

Break this apart and turn it into a rectangle

You can the use 15 times 5 to find your answer