Given that p(-3) = 0, p(-1) = 0, and p(5) = 0, which expression could be p(x)?
A) x3–x2–17x –15
B) x3+ x2–17x + 15
C) x3–3x2–13x + 15
D) x3–9x2+ 23x –15

Answers

Answer 1

Answer:B

Step-by-step explanation:

Answer 2

The expression which satisfies all three points will be x³–x²–17x –15.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given points are p(-3) = 0, p(-1) = 0, and p(5) = 0,

So checking the points in the function:-

P(x) = x³–x²–17x –15.

p(-3)   =   (-3)³–(3)²–(17x-3) –15   =  -27 - 9 + 51 -1 5  =  0

p(-1)   =   (-1)³– (-1)²–( 17x -1) –15  =  -1 -1 + 17  - 15   =   0

p(-5)   =   (5)³–(5)²–(17x5) –15.    =   125  -  25  -85  -  15  =  0

Therefore the expression which satisfies all three points will be x³–x²–17x –15.

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Related Questions

Carl runs 1 mile (mi) in 10 minutes. How long will it take him to run 24 mi at the same speed?

1. 24 min
2. 34 min
3. 2.4 hours
4. 4.0 hours

Answers

The correct answer is 4 hours because if he does 1 mile in 10 minutes keep adding 10 minutes to each mile until you get to 24miles

Find x in the triangle below. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Remark

x is opposite the 90 degree angle. It is the hypotenuse. 13 makes up the 57 degree angle. It is the side adjacent.The adjacent side and the hypotenuse define the cos(theta).

Formula

cos(theta) = adjacent side / hypotenuse

Givens

Theta = 57 degrees

Hypotenuse = x

Side adjacent = 13

Solution

Cos(57) = 13 / x         Multiply both sides by xx*cos(57) = 13           Divide by cos(theta)x = 13/cos(57)x = 13 / cos(57)cos(57) = 0.5446x = 13/ 0.5446x = 23.87

Which complex number's graph is shown?

Answers

Answer: Option D.

Step-by-step explanation:

When we want to graph a complex number in a coordinate axis, the real part of the complex number is represented by the x-axis, and the complex part is represented by the y-axis.

in this case, we can see that the coordinates of the point are:

(-2, 2)

Then the complex number is:

Z = -2 + 2*i

Now we need to see which one of the given options is equal to this.

Let's check the real part for every option, so we can discard some of them:

A) real part = -2*cos(135°) = 1.41  (we can discard this option)

B) real part = 2*cos(7*pi/4) = 1.41 (we can discard this option)

C) real part = √2*2*cos(225°) = -2

D) real part = √2*2*cos(3*pi/4) = -2  

So options C or D are the correct one, now let's check the complex part for each one

C) complex part = √2*2*sin(225°) = -2    (we can discard this option)

D) complex part =  √2*2*sin(3*pi/4) = 2

So the correct one is the D option.

I answer with a picture

Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 for the tires and installation. Which equation can be used to find the number of tires, t, Mr. Brown purchased?


A. t = 160 + 75(10)

B. 75 + t(10) = 160

C. 75t + 10 = 160

D. 160t – 75 = 10

Answers

Answer:

C. 75t + 10 = 160

Step-by-step explanation:

Given that

The tire was $75 each

also there is a $10 for installation charges

For both he paid $160

Now based on the above equaton

The equation that applied to determine the number of tires i.e. t is

75t + 10 = 160

for the system of equations below what number do we need to multiply one of the equations by to eliminate one of the variables
3x - 4y=-4
5x-4y=12​

Answers

Answer:

the answer is -1

Step-by-step explanation:

if you multiply the first equation by -1, you get this:

-3x + 4y = 4

and then you can add that to the second equation and eliminate y

2x + 0y = 16

I need help with this.

Answers

9514 1404 393

Answer:

  6/(2+k)

Step-by-step explanation:

The change of base formula is ...

  [tex]\log_a(b)=\dfrac{\log(b)}{\log(a)}[/tex]

Using this, we can take the logarithm base 2 in the change of base formula for the given expression.

  [tex]\log_{20}(64)=\dfrac{\log_2(64)}{\log_2(20)}=\dfrac{\log_2(2^6)}{\log_2(2^2\cdot5)}\\\\=\dfrac{6}{\log_2(2^2)+\log_2(5)}=\boxed{\dfrac{6}{2+k}}[/tex]

__

In addition to the change of base formula, the usual rules of logarithms apply.

  [tex]a^b=m\ \longleftrightarrow \ \log_a(m)=b\\\log(ab)=\log(a)+\log(b)[/tex]

Find the value of x in (5,x),(x,14) so that the line line containing them is 7/2.

Answers

Answer:

7

Step-by-step explanation:

If what you meant by 7/2 was the slope of the line then we can plug in the two points into the slope formula to get our line:

14-x/x-5 = 7/2

This means that 14 - x = 7 and x - 5 = 2. We can see that 14 -7 = 7 and 7 - 5 = 2,

meaning that the value of x should be 7.

What is the difference between (-12)² and -12²?​

Answers

with (-12)^2 the negative sign is not applicable; 144
however with -12^2 the negative sign is applicable; -144

Find the value of the expression below pls help

Answers

Answer:

D 1/16

Step-by-step explanation:

(1/2)^4=.0625

.0625= 1/16

WILL GIVE BRAINLIEST!!
Find the area of a regular pentagon with a radius of 32 to the nearest integer.

Answers

Answer:

2435 units

Step-by-step explanation:

You are dealt one card from a standard 52-card deck. Find the probability of being dealt an ace or a 6.

Answers

Answer:

2/13

Step-by-step explanation:

Since there's 4 of each card in the deck this means that there're 4 sixes and 4 aces, so 8 cards in a 52 card deck gives the problem 8/52 which equals 2/13

-8x+14 = -15x+10
x = ?​

Answers

Answer:

-4/7

Step-by-step explanation:

Add 15x to each side. Then subtract 14 to each side.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?​

Answers

Answer:

$58+8.40=$66.4

Step-by-step explanation:

Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Scale factor: 4:1
10 in
6 in
b
8 in
Scale drawing
Object
A. Side a is 10 inches long, side bis 12 inches long, and side cis 14
inches long
B. Side a is 2 inches long, side bis 4 inches long, and side c is 6
inches long.
O
C. Side a is 24 inches long, side bis 32 inches long, and side cis 40
inches long.
d
D. Side a is 1.5 inches long, side bis 2 inches long, and side c is 2.5
inches long

Answers

Answer:

D for sure

Step-by-step explanation:

i dont know if you have time for this so i explain it in the comments if you need it

Answer:

the answer is D

Step-by-step explanation:

so this is drag and drop the box on the left will be counted the first box so pls no scams

Answers

Answer:

[tex]\Huge\boxed{x<-\frac{1}{4}}[/tex]

Step-by-step explanation:

Hello there!

The first thing we want to do is find the least common denominator which would be 20

so we multiply the denominator and numerator of the fractions on the left side by 4

3x4=12

5x4=20  -12/20x

1x4=4

5x4=20 so now we would have

[tex]-\frac{12}{20}x+\frac{4}{20} >\frac{7}{20}[/tex]

once again we want to isolate the variable using inverse operations

to get rid of the 4/20 we subtract each side by 4/20

[tex]\frac{7}{20} -\frac{4}{20} =\frac{3}{20}[/tex]

now we have

[tex]-\frac{12}{20} x>\frac{3}{10}[/tex]

now we want to get rid of the -12/20

to do so we divide each side by -12/20 (or -.6 as a decimal to make it easier)

[tex]\frac{3/20}{-.25}=-\frac{1}{4}[/tex]

REMEMBER flip the equality sign

we're left with

[tex]x<-\frac{1}{4}[/tex]

Answer:

Give me Point plssss anwer you

the triangles shown below must be congruent A. True B. false

Answers

Answer:

A. True

Step-by-step explanation:

Answer: B. False.

Step-by-step explanation:

Hope this helps!

please give me the answer

Answers

The coordinate of point g is (4,-3)

Jazlyn ate 9.1 quarts of ice cream last summer. Her brother, Jazel, ate 45.5 quarts of ice cream last summer. How many times more quarts of ice cream did Jazel eat than Jazlyn? show how you got it

Answers

Answer:5

Step-by-step explanation:

I answered this same question this morning to someone and I think the got it right they said thanks

someone help me is urgent ​

Answers

I think it the square root of 69 which could also be 420 i just need the points

The image below shows four soccer balls at different
locations on an uneven soccer field. Which ball has the
greatest amount of kinetic energy? Explain your answer.

Answers

Answer: letter d

Step-by-step explanation:

Answer:

Ball D. Among the four balls in this picture, ball D is the only one whose kinetic energy is greater than [tex]0[/tex].

Step-by-step explanation:

Consider an object of mass [tex]m[/tex]. If this object is moving at a speed of [tex]v[/tex], the kinetic energy of this object would be:

[tex]\displaystyle \frac{1}{2}\, m \cdot v^{2}[/tex].

The speed [tex]v[/tex] of ball A, B, and C are all [tex]0[/tex].  Hence, the kinetic energy of these three balls would be [tex]0\![/tex].

The speed of ball D is greater than [tex]0[/tex]: [tex]v = 2\; \rm m \cdot s^{-1}[/tex]. The kinetic energy of this ball would be:

[tex]\begin{aligned} {\rm KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2}\times \rm 0.43\; \rm kg \times \left(2\; \rm m \cdot s^{-1}\right)^{2}\\ &= 0.86\; \rm J\end{aligned}[/tex].

Hence, the kinetic energy of ball D is the greatest among the four balls in this picture.

rationalize the dominator and simplify the following expressions into the simplest possibke surds: i. 8/√2 + 2√50​

Answers

Answer:

8/√2 + 2√50​

8√2/2 + 2√50

4√2 + 10√2

14√2

solve x-19 <81. then graph the solution.

Answers

Answer:

x<100 and look at picture

Step-by-step explanation:

x-19<81

+19  +19

x<100

+100 on number line, opened line to the left

X<100

Step-by-step explanation:

x-19<18

+19   +19

x<100

+100 on number line, opened line to the left

How can this model be used to determine 2.4−0.15 ? Enter your answers in the boxes. The model shows a total of 2 wholes and 4 tenths. After regrouping 1 tenth into 10 hundredths, there are 2 wholes, tenths, and hundredths. After crossing out 1 tenth and 5 hundredths, there are 2 wholes, tenths, and hundredths remaining. Therefore, the difference of 2.4 and 0.15 is .please help fast

Answers

Answer:

2.25

Step-by-step explanation:

2.4 - 0.15

Using place value :

2 = Unit (2 wholes)

4 = tenth place ( 4 tenths)

To subtract 0.15

0 wholes ; 1 tenth ; 5 hundredth

1 tenth can be split into 10 separate hundredths

Hence,

For 2.4

We have ;

2 wholes ; 3 tenths and 10 hundredths

Subtracting 0.15 ;0 wholes ; 1 tenth ; 5 hundredth

(2 - 0) wholes = 2 whole

(3 - 1) tenth = 2 tenth

(10 - 5) hundredth = 5 hundredth

Hence, the difference between (2.4 and 0.15) is :

2 whole ; 2 tenth ; 5 hundredth

Which is equal to : 2.25

help me and i givee points give me correct answer

Answers

Answers:

Fractions A

Red flower fraction== 40/100

Purple flower fraction=47/100

Trees fraction=7/100

Decimals

Orange flower decimal=0.06

Trees decimal=0.07

Percents

Red flower percent=40%

Orange flower percent=6%

Purple flower percent=47%

Ask for help when you need it, I'm here until 2:30

I hope this helps!

If you need more help, don't hesitate to ask!

May I have brainliest, please?

Solve each inequality.
1. 5x + 2 <17

Answers

Answer:

x<3

Step-by-step explanation:

5x+2<17

Subtract 2 from both sides.

5x<17−2

Subtract 2 from 17 to get 15.

5x<15

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

x=15/5

Divide 15 by 5 to get 3.

x<3

If the cost of 8 pizzas is $74, what is the cost per pizza? Use a proportion to solve.

Answers

Answer:

9.25

Step-by-step explanation:

Answer:

$9.25

Step-by-step explanation:

8 is to $74 as 1 is to x

8/74 = 1/x

4/37 = 1/x

4x = 37 * 1

x = 37/4

x = 9.25

Answer: $9.25

BRAINLIST WILL BE GIVEN TO THE PERSON WHO GIVES THE CORRECT ANSWER​

Answers

Answer:

25pi. 36pi

10pi. 12pi

--------------------------

9pi. 49pi

6pi. 14pi

Step-by-step explanation:

Area (A) = πr²

Circumference (C) = 2πr

Blue Circle:

A = (5)²π

A = 25π

C = 2(5)π

C = 10π

Pink Circle:

A = (6)²π

A = 36π

C = 2(6)π

C = 12π

White Circle:

r = 3

A = (3)²π

A = 9π

C = 2(3)π

C = 6π

Red Circle:

A = (7)²π

A = 49π

C = 2(7)π

C = 14π

kinda left explainitory but I need help with finding the base ​

Answers

Answer:

6.4 cm

Step-by-step explanation:

Area of triangle = 17.28 cm²

[tex]\frac{1}{2}*base *altitude = 17.28\\\\\frac{1}{2}*base*5.4=17.28\\\\base = 17.28*\frac{2}{5.4}\\\\base= 3.2*2\\\\base = 6.4 cm[/tex]

an international phone call cost $46.44 for 27 minutes? what is the average cost of this call per minute ​

Answers

the average cost of this call per minute is $1.65.
$46.44/27 minutes= $1.65 average cost

What is the equation of the line

Answers

Answer:

y = 0

Step-by-step explanation:

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