What is(f*g)(x)
f(x)=x³-4x+2
g(x)=x²+2

The polynomial has zeros of 2, 5, and -4 is option (d) (2x - 4)(x - 5)(x + 4).

A polynomial is a mathematical equation made up of indeterminates and coefficients and uses only addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

To find a polynomial that has zeros 2, 5, and -4 substituted x = 2, 5, and -4 in a polynomial.

By substituted x = 2, 5, and -4 in a polynomial (2x - 4)(x - 5)(x + 4).

(a) For x=2.

The polynomial is

(2(2) - 4)(2- 5)(2 + 4) = (4- 4)(-3)(6)

                                 = 0×-3×6

                                 = 0

(b) For x=5.

The polynomial is

(2(5) - 4)(5 - 5)(5 + 4) = (10-4)(0)(9)

                                  = 6×0×9

                                  = 0

(c) For x=-4.

The polynomial is

(2(-4) - 4)(-4 - 5)(-4 + 4) = (-8-4)(-9)(0)

                                  = -`12×-9×0

                                  = 0

Since (2x - 4)(x + 5)(x + 4) has zeros of 2, 5, and -4

For incorrect options

By substituted x = 2, 5, and -4 in a polynomial  (x + 2)(x + 5)(x - 4), (2x - 4)(x + 5)(x + 4) and (6x - 2)(x - 5)(x - 4) is not equal to zero therefore (a), (b) and (c)is not correct option.

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The correct polynomial with zeros of 2, 5, and -4 is represented by Option C, which is (x - 2)(x - 5)(x + 4), even though there is a typo in the option provided.

The zeros of a polynomial are the values for which the polynomial evaluates to zero. These are also the solutions to the equation obtained by setting the polynomial equal to zero. Given the zeros of 2, 5, and -4, we can form a polynomial by finding the factors associated with each zero and then multiplying those factors together.

The factor associated with the zero 2 is (x - 2), the factor for the zero 5 is (x - 5), and the factor for the zero -4 is (x + 4). Multiplying these factors will give us the polynomial that has these zeros:

P(x) = (x - 2)(x - 5)(x + 4).

Comparing this expression with the options provided:

Therefore, the correct answer is Option C, which is (x - 2)(x - 5)(x + 4).

Answer:

if you meant factor then 1, 2, 3 and 6

Answer:

1,2,3,6

Step-by-step explanation:

A factor of a number is any number that can go evenly into another number.

1 x 6 = 6

2 x 3 = 6

So, 1,2,3,6 are factors of 6

Tell me if I wrong.

If right, can I have brainliest

All the segments that are parallel to GH in the given shape are, BC, AD and FI. Option A

How to identify all segments parallel to GH

To identify all segments parallel to GH, understand the basic structure of a cuboid and its faces.

A cuboid is a three-dimensional shape with six rectangular faces. Each face of the cuboid is parallel to the opposite face. This property allows us to identify segments that are parallel to each other within the cuboid.

To identify segments parallel to a specific segment in a cuboid, follow these steps:

Understand the orientation of the cuboid:

Visualize the cuboid and identify its three pairs of opposite faces. These faces are parallel to each other.

Identify the given segment:

Determine the specific segment in the cuboid to which you want to find parallel segments.

In this case GH

Locate the faces that contain the given segment:

Identify the faces that contain the given segment. These faces will be parallel to each other.

Based on the highlighted steps above, by visualization,

Segment BC is parallel to GH

Segment AD is parallel to GH

Segment FI is parallel to GH

Therefore, all the segments that are parallel to GH are, BC, AD and FI. Option A

Answer:

[tex]\frac{2 CM}{7 M} = \frac{15 CM}{X M}[/tex]

Step-by-step explanation:

I did the assignment.

The side length (x) of the enlarged square in meters has a scale factor will be 52.5 meters.

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Tomás is enlarging a square with a side length of 15 cm using this scale factor and scale drawing.

Scale factor = 2 centimeters: 7 meters. A square with side lengths of 15 centimeters.

Let x be the dilated length.

Then we have

[tex]\rm \dfrac{15}{x} = \dfrac{2}{7}\\\\x \ \ = 52.5[/tex]

More about the dilation link is given below.

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Answer:

[tex]-\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]\frac{5}{8} +\frac{3}{4} =\frac{11}{8} \\\\\frac{11}{8}=1.375\\\\\frac{-2}{3} -\frac{5}{6} =-\frac{3}{2} \\\\-\frac{3}{2}=-1.5\\\\\frac{1.375}{-1.5} =-\frac{11}{12}[/tex]

We'll split this up between the numerator and denominator.

Numerator:

5/8 + 3/4

Step 1) Make all of the denominators the same

5/8 + 6/8

Step 2) Add the numerators together

11/8

Denominator:

-2/3 - 5/6

Step 1) Make all of the denominators the same

-4/6 - 5/6

Step 2) Subtract the numerators

-9/6

Now we have (11/8) / (-9/6). Dividing fractions is the same as multiplying by the reciprocal.

11/8 x -9/6

-99/48

-2 3/48

-2 1/16

Hope this helps! :)

Answer:

x = 12

Step-by-step explanation:

By property of intersecting secants outside of a circle:

[tex]x \times 15 = 20 \times 12 \\ x = \frac{20 \times 12}{15} \\ x = \frac{20 \times 3}{5} \\ x = 4 \times 3 \\ x = 12[/tex]

set Up a ratio:

2 inches / 45 miles = x inches / 315 miles

Solve for x

Cross multiply:

45x = 630

Divide both sides by 45

X = 630 /45

X = 14 inches apart

Answer:

x=87 degrees

Step-by-step explanation:

Answer:

The answer is 87 degrees.

Step-by-step explanation:

All angles in a triangle add up to 180 degrees

37 + 56 = 93

180 - 93 = 87

Answer:

she will jog 660

Step-by-step explanation:

(100+65)×2=1 lap

330×2=2 laps (660yards)

Final answer:

Allyson will jog around the perimeter of the soccer field twice, which totals 660 yards.

Explanation:

Allyson is jogging around a soccer field that has dimensions of 100 yards long and 65 yards wide. To find out how far she will jog, we need to calculate the perimeter of the field and then multiply it by the number of times she jogs around it.

Calculating the Perimeter:

The perimeter P of a rectangle is given by P = 2(length + width). In this case:

So the perimeter of the soccer field is:

P = 2(100 yards + 65 yards) = 2(165 yards) = 330 yards.

Total Distance Jogged:

Since Allyson jogs around the field twice, the total distance she will jog is:

Total Distance = Perimeter × Number of Laps = 330 yards × 2 = 660 yards.

Therefore, Allyson will jog a total distance of 660 yards.

Answer:

6/60

Step-by-step explanation:

The probability that Lin gets another turn, P(E) could be 6/60

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

We are given that Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10.

Therefore,

P(E) = Number of favorable outcomes / total number of outcomes

Outcomes of cube = { 1, 2, 3, 4, 5, 6}

Outcome of Card = {1, 2, 3} from each group.

when both the cube and card have the same number, then Lin gets another turn.

The probability that Lin gets another turn, P(E) =6/60

P(E) = 1/10

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Answer:

U=30

W=2.25

tho I’m not sure about v

Answers:

U: 5 + 13 + 12 = 30 cm

V: 8 + 7 + 4 + 3,5 = 22,5 ft

W: 2 1/8 + 6 3/4 + 2 = 2 + 0,125 + 6 + 0.75 + 2 = 10,875 mm

Answer:

I'm not totally sure but i want to help as best i can the graphs i narrowed it down to are a and c because the equation is less than or equal to its a dotted line and i think it would be answer c

Step-by-step explanation:

Answer:

Attached graph

Step-by-step explanation:

Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be

273/6=45.5 g

1 ball=45.5 g

2 balls =2*45.5=91 g

3 balls =3*45.5=136.5 g

4 balls=4*45.5=182 g

5 balls =5*45.5=227.5 g

6 balls =6*45.5=273 g

Since the graph to select is not given, I attached ny own sketch. Any other graph with these corresponding figures in x and y axis as indicated will be correct.

Answer:

A

Step-by-step explanation:

Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be

273/6=45.5 g

1 ball=45.5 g

2 balls =2*45.5=91 g

3 balls =3*45.5=136.5 g

4 balls=4*45.5=182 g

5 balls =5*45.5=227.5 g

6 balls =6*45.5=273 g

Since the graph to select is not given, I attached ny own sketch. Any other graph with these corresponding figures in x and y axis as indicated will be correct.

Step-by-step explanation:

left side X°=33(i.e 75+72+x=180)

left side down x°= 60°

right side=145°

right side down= 124

For PLATO Users here is the correct matching

Answer:

READ BELOW, Answers Are: A,B,D,F

Step-by-step explanation:

If you are referring to this Edge problem here:

Answer:

A, B, D

Step-by-step explanation:

Adding and Subtracting Radicals Instruction on Edge

Answer:

the average number of points each team scores per game

Step-by-step explanation:

Answer:

B. the number of games each player has played

Step-by-step explanation:

25 years had temperatures within one standard deviation of the mean.

The term "standard deviation"  (or σ) refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Data for the average daily temperature on January 1 from 1900 to 1934 for city A.

Mean u = 24°C

standard deviation σ = 4°C

Now, Interval for 1 standard deviation ( σ ):                                    

[ u - σ , u + σ ]

[ 24 - 4 , 24 + 4 ]

[ 20 , 28 ] °C

Now, determine the number of years the temperature T lied in the above calculated range: [ 20 , 28 ].

T1 = 20 , n1 = 2 years

T2 = 21 , n2 = 3 years  

T3 = 22 , n3 = 2 years

T4 = 23 , n4 = 4 years  

T5 = 24 , n5 = 3 years

T6 = 25 , n6 = 3 years  

T7 = 26 , n7 = 5 years

T8 = 27 , n8 = 2 years

T5 = 28 , n9 = 1 years

and, The total number of years:

∑ni = n1 + n2 + n3 + n4 + n5 + n6 + n7 + n8 + n9

=  2 + 3 + 2 + 4 + 3 + 3 + 5 + 2 + 1

= 25 years          

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Answer:

it should be scalene

Step-by-step explanation:

DE: [tex]\sqrt{90}[/tex]

^^ [tex]\sqrt{(-1-8)^{2}+ (-3--6)^{2} }[/tex]

[tex]\sqrt{-9^{2} +3^{2}[/tex]

[tex]\sqrt{81+9}[/tex]

EF:[tex]\sqrt{65}[/tex]

^^[tex]\sqrt{(-2+1)^{2} + (5+3)^{2} }[/tex]

[tex]\sqrt{-1^{2}+8^{2}[/tex]

[tex]\sqrt{1+64}[/tex]

DF= [tex]\sqrt{101}[/tex]

^^

Answer:

A polynomial is a combination of terms separated by + or - signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

The expression 7r - 6r^3 - 10r^4 is a polynomial because it consists of terms with variables raised to non-negative integer exponents.

The expression 7r - 6r3 - 10r4 is a polynomial because it is a mathematical expression consisting of terms with variables raised to non-negative integer exponents.

A polynomial is an algebraic expression made up of one or more terms, where each term has a coefficient and a variable raised to a non-negative integer exponent. In this case, the expression has three terms: 7r, -6r3, and -10r4. The variable in the expression is 'r', and each term is raised to a non-negative integer exponent.

Therefore, the expression 7r - 6r3 - 10r4 is a polynomial.

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Answer:

Third Option

Step-by-step explanation:

sqrt(13 = 3.6055512754639893

3.6

y = |x|

This is absolute value because it's a v-shape.

Answer:is there a picture included in this promblem

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Slope intercept form is y = mx + b.

y + 6 = 1/3(x - 9)

y + 6 = 1/3x - 3

y = 1/3x - 9

Hope this helps!! :)

Answer:

[tex]y = 1/3x - 9[/tex]

Step-by-step explanation:

Step 1:  Rewrite in slope-int form

[tex]y + 6 = 1/3(x - 9)[/tex]

[tex]y + 6 = 1/3x - 3[/tex]

[tex]y + 6 - 6 = 1/3x - 3 - 6[/tex]

[tex]y = 1/3x - 9[/tex]

Answer:  [tex]y = 1/3x - 9[/tex]

Answer:

Therefore Joe is taller than the height of the tepee.

Step-by-step explanation:

Cone:

Given that,

A cone shaped tepee has a radius of 4 feet and slant height of 7 feet.

The height of the cone is  [tex]=\sqrt{slant\ height ^2- radius^2[/tex]

                                           [tex]=\sqrt{7^2-4^2}[/tex]feet

                                          [tex]=\sqrt{33}[/tex] feet

                                          ≈5.74 feet

Given that, Joe is 6 feet tall.

Since 6 feet> 5.74 feet

Therefore Joe is taller than the height of the tepee.

Answer: Joe is taller than the tepee

Like terms are terms that have the same variable and power/exponent.

-4q - (-8q) + 10   (two negative signs cancel each other out and become positive)

-4q + 8q + 10     The only like terms you can combine are -4q and 8q, because they have the same variable of q and an exponent of 1.

4q + 10        (this is as far as you can simplify)

Answer:

Chair $280

Loveseat $560

Couch $ 1,160

Step-by-step explanation:

chair = x

loveseat=2x

couch = 2x + 600

x +2x + 2x +600 = 2000

5x + 600 =2000 subtract 600 from both sides

5x =1400 divide by 5

x = $280

Chair is the value of x =$280

Loveseat is twice the value of x = 2 x $280 =$560

Couch is twice the value of x plus $600 = $560 + $600

The cost of a chair, the cost of a loveseat, and the cost of a couch are $280, $560, and $1,160 respectively.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

Emily purchased a couch, loveseat, in the chair for $2000.

The Loveseat cost twice as much as the chair, and the couch cost $600 more than the love seat.

Let

The cost of the chair is x, then the loveseat is 2x and the cost of the couch is 2x + 600.

Then

The sum of the cost of the chair, loveseat, and couch is $2000.

[tex]x + 2x + 2x + 600 = 2000\\[/tex]

On simplifying, we have

x = 280

Then

The cost of the chair = x = $280.

The loveseat = 2x = 2(280) = $560

The cost of the couch = 2x + 600 = 2(280) + 600 = $1,160

Thus, the cost of the chair, loveseat, and couch is $280, $560, and $1,160 respectively.

More about the linear system link is given below.

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Answer:

x = 17

Step-by-step explanation:

Since the triangles are congruent

<I = <P

3x+4 = 72-x

Add x to each side

3x+4+x = 72-x+x

4x+4 = 72

Subtract 4 from each side

4x+4-4 = 72-4

4x = 68

Divide each side by 4

4x/4 = 68/4

x = 17

Answer:

54 Students in each bus

Step-by-step explanation:

331-7= 324

324/6 = 54

you have to initially subtract 7 fro 331 because they took cars. the rest of the students took the 6 buses.

now you are left with 324/6 which gives you 54 students per bus

Answer:

The correct answer is A!!

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

a

Possible mistakes in Joan's bar chart could be incorrect scale, inaccurate labeling, and inconsistent bar lengths. Correcting these errors would make the chart a more accurate representation of the temperature data.

Without the specific bar chart, it is difficult to identify Joan's mistakes, but possible errors in a bar chart depicting temperatures could be the following:

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