Find a polynomial f (x) of degree 5 that has the following zeros.
9, 6, -8, 7, 0
Leave your answer in factored form.

Answers

Answer 1

Answer:

[tex]f(x)=x(x-9)(x-6)(x+8)(x-7)[/tex]

Step-by-step explanation:

If [tex]9=x[/tex]  then [tex]x-9=0[/tex]

If [tex]6=x[/tex]  then [tex]x-6=0[/tex]

etc.

So  [tex]f(x)=x(x-9)(x-6)(x+8)(x-7)[/tex]


Related Questions

What is the volume of this sphere?
Use a ~ 3.14 and round your answer to the nearest hundredth.
6 m

Answers

Answer:

113.1

Step-by-step explanation:

Using the volume (for sphere) formula:

V = (4/3)*pi*(r^3)

You can plug in the radius (diameter/2, the diameter is 6m) to get a volume of 113.1.

Answer:

113.04m³

Step-by-step explanation:

[tex]Solution,\\\\Diameter(d)=6m\\\\Radius(r)=6m/2=3m\\\\Now,\\\\Volume=\frac{4}{3} \pi r^{3} \\\\Volume=\frac{4}{3} *3.14*(3m)^{3} \\\\Volume=113.04m^{3}[/tex]

Which of the following statements is true, based on the graph?
O The distribution of favorite color is the same for each eye-color group.
O The group that had the highest percentage of those who like blue is the brown eye group.
The group that had the highest percentage of those who like red is in the hazel eye group.
The group that had the lowest percentage of those who like orange is the green eye group.

Answers

Answer:The distribution of favorite color is the same for each eye-color group.

Step-by-step explanation: A EDGE22

Right one number that is a factor of 13

Answers

Answer: 1 is the only factor of 13

Step-by-step explanation:

Answer:

1 and 13

Step-by-step explanation:

becouse 13 is a prime number(wich means a number that can only be multiplied by 1 and itself) the ony factors are 1 and 13.

Find the values of X and Z

Answers

Answer:

x = 12, z = 109

Step-by-step explanation:

12x - 73 = 71

12x = 71 + 73 = 144

x = 144/12 = 12

z = 180 - 71 = 109

PQR Airlines reports that 90.5% of its flights arrive on time. What percent of its flights do not arrive on time?

Answers

Answer:

9.5%

Step-by-step explanation:

90.5% is the amount of flights that arrive on time, out of 100 so to find out the rest you have to minus 90.5 by 100.

90.5-100 = 9.5

90.5+9.5= 100

Mitch bought 4.6 feet of fabric. Each foot cost $3.50. How much did he spend in all on fabric?

Answers

Answer:

$16.10

Step-by-step explanation:

He spent $16.10 in total. Because 3.5 x 4.6 feet = 16.1

Answer:

$16.10

Step-by-step explanation:

3.50 x 4.6 = 14 + 2.10

f(x) = 7x+2 what's the value of f(7)

Answers

To answer this question, we need to first know what f(x) means. For example, if f(10), then you plug in 10 for x, 7(10)+2 = 72.
Do the same thing but with f(7).
f(7) = 7(7)+2
f(7) = 49+2
f(7) = 51
Hope this helps.
f(x) = 7x+2

( with functions, just put in the f value as x and solve )

7•7+2
49+2
51

f(7) = 51

hope this helps!

A cell phone plan charges $45.50 a month, plus $0.05 per text message. Write and graph an expression to find how many text messages, x, can be sent while still keeping the monthly bill under $60.​

Answers

Answer:

289 messages

equation: [tex]y=0.05x+45.5[/tex]

graph: attached below

Step-by-step explanation:

We can write this in slope-intercept form, or [tex]y=mx+b[/tex]. Since x is defined as the #of text messages, and 0.05 is the cost of a text message, 0.05 will be m. 45.5 is the base price, or the y-intercept, so it will be b.

Plugging in these numbers, we get [tex]y-0.05x+45.5[/tex]

now we make y = 60, since that is the total amount they have

[tex]60=0.05x+45.5\\14.5=0.05x\\x=290[/tex]

So, they can send 290 messages for 60, but they need the bill under 60, so 1 text message less will be 289, and that's enough.

What 2 numbers add up to 5 and multiply to 4?​

Answers

1 x 4 = 4, 1 + (4)= 5

Answer:

1 and 4

Step-by-step explanation:

Products of 4:  

1 and 42 and 2

Pairs of numbers that sum to 5:

1 and 42 and 3

Therefore, the two numbers that add up t o 5 and multiply to 4 are:  1 and 4


The walk to the football field from our front door is 122
yards and 2 feet. What is the distance of the walk in
feet?

Answers

Answer:

368 feet

Step-by-step explanation:

122 yards converted to feet is 366, and you have to add the 2 feet from before, which makes it 368 feet.

if your daily value of dietary fiber is 25 G and if you only ate 80% of your daily value of dietary fiber then how many grams of dietary fiber did you eat ​

Answers

Step-by-step explanation:

100% = 25g

1% = 100%/100 = 25/100 = 0.25g

80% = 80×1% = 80×0.25 = 20g

If your daily value of dietary fiber is 25 G and if you only ate 80% of your daily value of dietary fiber then 20 grams of dietary fiber you eat. ​

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that  daily value of dietary fiber is 25g.

You only ate 80% of your daily value of dietary fiber.

We have to find the amount of dietary fiber in grams you eat .

To find this we have to find the value of 80 percentage of 25.

Convert 80 % to the decimal value by dividing 80 with 100.

80/100×25

Eighty by hundred times of twenty five.

20 grams

Hence, if your daily value of dietary fiber is 25 G and if you only ate 80% of your daily value of dietary fiber then 20 grams of dietary fiber you eat. ​

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

Brainliest if correct

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

-1(2)(-5)

-1 (-10)=10

[RevyBreeze]

What is the slope of the line that passes through the points (2, -4) and (5, 2)? Write
your answer in simplest form.

Answers

Answer:

Slope: 2

The slope how much y increases when x increases by 1.

Step-by-step explanation:

1. Find the difference between both y-coordinates. (6)

2. Find the difference between both x-coordinates. (3)

Divide the difference between y and x. y/x=2

The slope is 2.

Answer:

The slope of line that passes through the points (2, -4) and (5, 2) is 2.

Step-by-step explanation:

Here's the required formula to find slope line :

[tex]{\longrightarrow{\pmb{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}}[/tex]

As per given question we have provided that :

[tex]\begin{gathered}\footnotesize\rm {\underline{\underline{Where}}}\begin{cases}& \sf y_2 = 2\\& \sf y_1 = - 4\\ & \sf x_2 = 5\\ & \sf x_1 = 2\end{cases} \end{gathered}[/tex]

Substituting the values in the formula to find slope line that passes through the points :

[tex]\begin{gathered}\qquad{\longrightarrow{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{(2) - ( - 4)}{5 - 2}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{2 + 4}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{6}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = 2}}}\\\\\qquad{\star{\underline{\boxed{\sf{\pink{m = 2}}}}}} \end{gathered}[/tex]

Hence, the slope of line that passes through the points (2, -4) and (5, 2) is 2.

[tex]\rule{300}{2.5}[/tex]

What is the solution, if any, to the inequality 3-14-n1 > 1?
no solution
O all real numbers
On>2 or n < 6
O 2< n < 6

Answers

Answer:

n > 2 or n < 6

Step-by-step explanation:

3 - | 4 - n | < 1

Let's move 3 to the other side of the equation:

- | 4 - n | < 1 - 3

- | 4 - n | < -2

Both sides of the equation are negative, so we can simplify by multiplying them with -1:

(- | 4 - n | < -2*-1

| 4 - n | < 2

We cannot get rid of the module because it's not for a single number and we dont know what n is equal to but there is a rule that we can use to remove the module:

- if | x | < a and a > 0 then -a < x < a. So if we use it we get the following:

- 2 < 4 - n < 2

These are two equations, separate and solve them separately

4 - n < 2

- n < 2 - 4

- n < -2

n > 2 (< turns into > because we changed sign)

and

- 2 < 4 - n

4 - n > -2

-n > -2 - 4

n < 6 (we change the sign of the numbers so the equation changes too)

So after solving the two equation we get the answers

Solve the inequality m-3>-2

Answers

m - 3 > - 2
+ 3 + 3
m > 1

Hope this helps!

the answer is m>1

I hope that helped!

Find the surface area of the right triangle prism(above) using the net (below)

Answers

Answer:

144

Step-by-step explanation:

2( 1/2 × 3 × 4 ) + ( 11 × 5) + ( 11 × 4 ) + ( 11 × 3)

= 12 + 55 + 44 + 33

= 144

The median age for U.S. blacks currently is 30.9 years; for U.S. whites it is 42.3 years.
a. Based upon this information, give two reasons why the black median age could be lower than the white median age.
b. Does the lower median age for blacks necessarily mean that blacks die younger than whites? Why or why not?
c. How might it be possible for blacks and whites to die at approximately the same age, but for the median age for whites to be higher?

Answers

Answer:

A

Step-by-step explanation:

How do I solve other problems like this?
y=mx+b

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

in the equation y = mx + b,

m = slope    b = y-intercept

The y-intercept is provided in the point, (0, -3), because that is where it crosses the y. You're y-intercept is -3

Now you need to find slope. You need to find the difference between these two points to find slope.

[tex]-2+0 = -2[/tex]

[tex]1-3=-2[/tex]

so your slope is going down by 2 and to the left by 2.

Hope this helps! Might be wrong. Try with another example and tell me if it works. <3

Answer: B

Step-by-step explanation:

m is the value of the slope between the two points on the graph

If the two coordinates is (x1,y1) and (x2,y2), the slope is (y1-y2) / (x1-x2)

So the slope for this question is (1-(-3)) / (-2-0) = -2 so the answer is B

6y - (3y - 6 ) = 5y - 4

Answers

Answer: y = 5

You want to isolate the variable by dividing each side by factors that don't contain the variable. When doing this, we get that y = 5.

Step-by-step explanation:

Hope this helps =)

Answer: 5

Step-by-step explanation:

6y-(3y-6)=5y-4

6y-1(3y-6)=5y-4

6y-3y+6=5y-4

3y+6=5y-4

-3     -3

6=2y-4

+4     +4

10=2y

10/2=5

Did I do this right? ​

Answers

It appears the points are in the correct locations on the grid. Your graph is almost done. You need to draw a straight line through all of the points to finish off the graph of y = 1.49x

The origin represents the idea that 0 pounds of oranges cost $0

You have the correct unit rate. It indicates the oranges cost $1.49 per pound.

What is the median of the following string of values?

Answers

Answer:

the value is 52

Step-by-step explanation:

pls brain list me

If m(x) = X-7 and n(x)= 1/x+7, find the function value, if possible.
(m . n)(7)

A. Undefined
B. 1
C. 0
D. -1

Answers

The function value of (m × n)(7) is: C. 0.

How do we Find a Function Value?

To find the value of a function, plug in the given value of x and simplify.

Given:

m(x) = x - 7

n(x) = 1/x + 7

Find (m × n)(7)

(m × n)(7) = (x - 7)(1/x + 7)

Plug in x = 7

(m × n)(7) = (7 - 7)(1/7 + 7)

(m × n)(7) = (0)(1/7 + 7)

(m × n)(7) = 0

Therefore, the function value of (m × n)(7) is: C. 0.

Learn more about function value on:

https://brainly.com/question/2284360

An angle measures 78° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer: 6 and 84 degrees

Step-by-step explanation:

Let the measure of the angle = x.

Since complementary angles sum to 90 degrees,

x + (x+ 78) = 90

2x + 78 = 90

2x = 12

x = 6.

Therefore the angles are 6 and 84 degrees.

There is a ratio of 3 boys to 4 girls in a class. Which of the following are correct ratios for the class? 3 boys to 7 girls 4 girls to 3 boys 4 girls to 7 students 3 boys to 7 students

Answers

Answer:

4 girls to 7 students, and 3 boys to 7 students

(there are 7 students in total)

What is the area of this triangle?

480 m²


525 m²


675 m²


960 m²

Answers

The area of a triangle is equal to 1/2 the base*the height of the triangle, and since the base is 64 and the height is 15, we can set up and solve this equation:

A=1/2(64*15)
A=1/2(960)
A=480

The answer is : A. 480 m

3.03 Quiz: Area of Triangles

12. MP Persevere with Problems Write the function rule for each function.
a.
b.
C.
d.
х
f(x)
х
х
у
х f(x)
-3 -30
-1 -10
у
-3
-5
-9
-2
-2
-5
-1
-5
1
3
1
1
aoes
2
20
3
-1
7
3
5
3
5
6
60
7
3
11
5
9
TO

Answers

Answer: 4. 78,020,008 4. Seventy-eight million, twenty thousand, eight

5. 20,011,012 5. 20,000,000 + 11,000 + 12

6. 50,000 7. 900 8. 70,000,000 9. 30,000,000

Step-by-step explanation:

29/3 into a mixed fraction

Answers

Answer: 29/3 into a mixed fraction would be 9 2/3

I hope I helped you. Have a great day!

Step-by-step explanation:

Simplify:

29/3 = 9 2/3

this is the answer ...

Answers

yea that is right, not sure why it says it's wrong, I'm sorry must be so frustrating

24 is 3/4 of ___

Find the answer

Answers

32!!!! 24 is 3/4 of 32!!

Answer:

24 is 3/4 of 32.

Step-by-step explanation:

if you understand:

24 divided by 3 (3 in 3/4) is 8.

8 x 3 = 24, so if we need to fill in the extra 1 in 3/4 (making it 4/4), we would need to add another 8. 24 + 8 = 32. (u can look up ' what is 3/4 of 32 too ')

Are the polygons similar? If they are, write a similarity statement. The figures are not drawn to scale.

Answers

Based on the SAS similarity theorem, both triangles are similar.

Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.

What are Similar Polygons?

Similar Polygons have different size but the same shape, and as such, the ratio of their corresponding side lengths are equal, while their corresponding angles are congruent.

Based on the SAS similarity theorem, two triangles are similar to each other if they have two pairs of corresponding sides that are proportional and an included pair of angles that are congruent.

In ΔSTV and ΔPQR:

m∠S ≅ m∠P = 86° (one pair of included congruent angles)

ST/PQ = SV/PR = 0.67 (proportional sides).

Therefore, based on the SAS similarity theorem, both triangles are similar.

Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.

Learn more about similar polygons on:

https://brainly.com/question/2264759

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