Can someone help me with this problem

Answer:

The required polynomial is:

[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]

Step-by-step explanation:

Given the zeros

-4, -1, -3

Zeros can be written as:

x = -4, x = -1, x = -3

Finding the factors

x = -4

x +4 = 0

x = -1

x + 1 = 0

x = -3

x + 3 = 0

Thus, the factor are:

(x+4) (x+1) (x+3)

The original function can be computed by multiplying the factors

[tex]\left(x+4\right)\left(x+1\right)\left(x+3\right)=0[/tex]

as

[tex]\left(x+4\right)\left(x+1\right)=x^2+5x+4[/tex]

so the expression becomes

[tex]\left(x^2+5x+4\right)\left(x+3\right)=0[/tex]

Distribute parentheses

[tex]x^2x+x^2\cdot \:3+5xx+5x\cdot \:3+4x+4\cdot \:3=0[/tex]

[tex]x^2x+3x^2+5xx+5\cdot \:\:3x+4x+4\cdot \:\:3=0[/tex]

[tex]x^3+3x^2+5x^2+15x+4x+12=0[/tex]

Add similar elements: [tex]3x^2+5x^2=8x^2[/tex]

[tex]x^3+8x^2+15x+4x+12 = 0[/tex]

Add similar elements: [tex]15x+4x=19x[/tex]

[tex]x^3+8x^2+19x+12=0[/tex]

Thus, the required polynomial is:

[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]

Note: your answer choices are a little ambiguous, but I have explained the entire procedure. Hopefully, it will clear your concept.

Answer:

D. y=3x+15

Step-by-step explanation:

find the slope

[tex]\frac{1-(-5)}{-3-(-1)} =3[/tex]

y=mx+b

plug in known values

3=3(-4) + b

b=15

y=3x+15

We need to know about the relation between roots of a quadratic equation for solving the question. The quadratic equation with roots 3/4 and 1/2 is [tex]8x^{2} -10x+3=0[/tex]

Quadratic equation is an equation with the highest order of variable being 2. Roots of a quadratic equation are the values that satisfy the equation.Since quadratic equation has the highest order as 2, the equation has two roots. Roots of a quadratic equation can be real and unique, real and equal or imaginary. The roots of a quadratic equation can be used to get the quadratic equation itself.

Let there be a quadratic equation:

[tex]ax^{2} +bx+c=0\\x^{2} +\frac{b}{a} x+\frac{c}{a} =0[/tex]

Let the roots of the quadratic equation be α and β, then

α+β=-b/a

αβ=c/a

In this question we know the two roots are 3/4 and 1/2. So we can derive the quadratic equation from them

[tex]\frac{3}{4} +\frac{1}{2} =\frac{-b}{a} \\\frac{-b}{a} =\frac{5}{4}[/tex]

[tex]\frac{3}{4}[/tex]×[tex]\frac{1}{2} =\frac{c}{a}[/tex]

[tex]\frac{c}{a} =\frac{3}{8}[/tex]

The quadratic equation is:

[tex]x^{2} -\frac{5}{4} x+\frac{3}{8} =0\\8x^{2} -10x+3=0[/tex]

Therefore we found the quadratic equation with roots 3/4 and 1/2 to be [tex]8x^{2} -10x+3=0[/tex]

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Answer:

188.5

Step-by-step explanation:

in order to find the circumference you need to know the radius which is half of the diameter. the picture shows the formula used.

The length of the stake needs to be from the middle of her tent will be 6.9 feet. Then the correct option is C.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long.

Then the length of the stake needs to be from the middle of her tent will be

We have

P = 4 ft

H = 8 ft

Then the base is given by the Pythagoras theorem.

B² = H² - P²

B² = 8² - 4²

B² = 64 - 16

B² = 48

B = 6.9 ft

ether 12 or 4 feet.

























sorry if i didnt help

Answer:

12

Step-by-step explanation:

Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:

Brooks,  Hyde Park, Young Womens, Marshall, Noble - UIC.

The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.

Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence one possible option is given by:

Brooks,  Hyde Park, Young Womens, Marshall, Noble - UIC.

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e = -2

that should be the correct answer

Answer:

e = 2

Step-by-step explanation:

Answer: Average rate of change = 2

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

When an even number of negatives are multiplied together, the product will be positive (because two negatives cancel out). When an odd number of negatives are multiplied together, the product will be negative.

In the given expression, there is also a singular (1) at the end, which we can ignore since anything multiplied by 1 is itself. The other numbers are all negative and there are 3 of them, and since 3 is an odd number, the product will be negative.

I hope this helps!

Answer:

The third choice

Step-by-step explanation:

Negative, because the product (–7)(–2) is positive, and the product (–5)(1) is negative and the product of a positive and a negative number is negative,

pls mark as brainliest hope you have a nice day!

Answer:

D

Step-by-step explanation:

Answer:

it is a 3:5

Step-by-step explanation:

Answer:

I hope u get an answer

Step-by-step explanation:

thx

Answer:

All you have to do is replace the X with the number on the table

Step-by-step explanation:

so the first number is -3 so 3×-3+2

that equals -7 so put -7 as the first number under y. can continue like that

Answer:

1. -7, -4, -1, 2, 5, 8, 11

2. 5, 3, 1, -1, -3, -5, -7

3. -7, -6, -5, -4, -3, -2, -1

4. 13, 10, 7, 4, 1, -2, 5

Step-by-step explanation:

Answer: answer D

Step-by-step explanation:

i am pretty sure it is D. not 100%, but like 90%. they are both on the outside of the lines, so that is why i know they are exterior. and, they are on opposite sides, so that makes them alternate.

Answer:

e= 2

W= 15

m= 9

Step-by-step explanation:

for e: yout multiply 5 x 7 to get 35 so 2 x 7 = 14

for W: 20/10 = 2 so divide 30/2 to get 15

for m: 11 x 2 = 22 so do 18 divided 2 to get 9

Answer:

E = 2

W = 15

M = 9

Step-by-step explanation:

You just have to make the denominator / numerator the same.

[tex]\frac{E}{5}[/tex] = [tex]\frac{14}{35}[/tex]

Multiply the first fraction by 7 so that their denominators are both 35.

[tex]\frac{7E}{35}[/tex] = [tex]\frac{14}{35}[/tex]

7E = 14

E = 14 ÷ 7

E = 2

[tex]\frac{20}{30}[/tex] = [tex]\frac{10}{W}[/tex]

Multiply the second fraction by 2 so that their numerators are both 20.

[tex]\frac{20}{30}[/tex] = [tex]\frac{20}{2W}[/tex]

2W = 30

W = 30 ÷ 2

W = 15

[tex]\frac{M}{11}[/tex] = [tex]\frac{18}{22}[/tex]

Multiply the first fraction by 2 so that their denominators are both 22.

[tex]\frac{2M}{22}[/tex] = [tex]\frac{18}{22}[/tex]

2M = 18

M = 18 ÷ 2

M = 9

The volume of the rectangular prism will increase by 33% if the width, length, and height are each increased by 10%.

Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

The formula for the volume of a rectangular prism is:

V = l x w x h

where

“l” is the base length

“w” is the base width

“h” is the height of the prism

If the width, length, and height are each increased by 10%, the equation will now become:

[tex]V_{2}= 1.10 l * 1.10 w*1.10h[/tex]

[tex]V_{2}= 1.331* l*w*h[/tex]            V = l*w*h

[tex]V_{2}= 1.331* V[/tex]

Hence, if the width, length, and height are each increased by 10%, the volume of the rectangular prism will increase by 33%.

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Answer:

f(x)=-0.25x+4.75

Step-by-step explanation:

-0.25x+4.75

-0.25(-1)+4.75=5

-0.25(3)+4.75=4

Hope this helps!

Given:

The point is (-2,4).

To find:

Whether the point (-2,4) satisfy [tex]y<3x+5,y=3x+5[/tex] or [tex]y >3x+5[/tex].​

Solution:

We have a point (-2,4).

Substituting x=-2 in 3x+5 and check whether it is greater, equal or less than y value, i.e., 4.

[tex]3x+5=3(-2)+5[/tex]

[tex]=-6+5[/tex]

[tex]=-1[/tex]

-1 is less than 4.

[tex]3x+5<4[/tex]

[tex]3x+5<y[/tex]

In can be written as

[tex]y>3x+5[/tex]

Therefore, the given point (-2,4) satisfy [tex]y >3x+5[/tex].

Answer:

Since these are right triangles, the unmarked sides can be determined to be congruent because of the Pythagorean theorem. Once the third set of congruent sides is determined, the SSS or SAS theorem can be used to prove triangle congruency. 

Step-by-step explanation:

sorry I know this is late but i just took the assignment and this was the answer

Answer:

they are right triangles so they are congruent

Step-by-step explanation:

got it right on edge

Answer:

Slope is -2/3

Step-by-step explanation:

Change slope to slope form

Y=-2/3x+1

Slopes gonna be the same if they’re parallel

Answer:

all angles are 60 degrees

Step-by-step explanation:

since all sides are equal, all angles will be equal so its a equilateral triangle

all angles in a equilateral triangle are 60 as 180/3 is 60

so all angles equal 2x

2x = 60

x = 60/2 = 30

Answer:

j7yh6tg5rg6tg7h65t

Step-by-step explanation:

need thanks and make me brainiest if it helps you

For a real value of z, the general solution of above system of equations is x = -1/3 + (1/3)z, y = 5/3 + (1/3)z and z = z

In this question, we have been given a system of equations.

x+2y-z=3             ...........(1)

-2x-y+z=-1            ............(2)

6x-3y-z=-7            ...........(3)

We need to solve above system of equations using the elimination method.

We solve above system of equations by Gaussian elimination method.

First we write above system f equations in as an augmented matrix.

[tex]\begin{bmatrix}1 & 2 & -1 &|& 3 \\-2 & -1 & 1 &|& -1 \\6 & -3 & -1 &|& -7\end{bmatrix}[/tex]

We convert the augmented matrix into the row echelon form as:

[tex]\begin{bmatrix}1 & 2 & -1 & 3 \\0 & 3 & -1 & 5 \\0 & 0 & 0 & 0\end{bmatrix}[/tex]

So, we get an system of equations as:

x  + 2y -z  = 3         ............(4)

3y - z  = 5                 ...........(5)

From equation (5),

y = 5/3 + (1/3)z

Substitute above value of y in equation (4),

x = 3 - 2[5/3 + (1/3)z] + z

x = -(1/3) + (1/3)z

So, the general solution is,

[tex]\left(\begin{matrix}\frac{-1}{3}+\frac{1}{3}*z \\\\\frac{5}{3}+\frac{1}{3}*z \\\\z\end{matrix}\right)[/tex]

Therefore, for a real value of z, the general solution of above system of equations is x = -1/3 + (1/3)z, y = 5/3 + (1/3)z and z = z

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Answer:

Step-by-step explanation:

so the scale factor is 7:2

so we need to find 2 * x = 7

3.5 * 2 = 7

Multiply each length by 3.5 to find their new side lengths so:

12 * 3.5 = 42

9 * 3.5 = 31.5

5 * 3.5 = 17.5

Answer:

c

Step-by-step explanation:

3+4=7<9

Answer: The correct answer is 14.

Step-by-step explanation: We have X and Y together, multiply that and get 10. Then we add Z which is 4 and it gets you 14.

Answer: 1 and 3 dont 2 and 4 do have a line of symmetry

Step-by-step explanation:

Graphs 1, 3 function are not line symmetry and 2 and 4 have line symmetry.  

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The line of symmetry is an imaginary line that runs through the centre of a line or shape creating two perfectly halves.

To check a function to be symmetrical about the origin we need to replace y with minus y and x with minus x and the function must be equal to original function.

In the given graphs, 1 and 3 are not symmetrical and 2 and 4 are symmetrical.

Hence graphs 1, 3 function are not line symmetry and 2 and 4 have line symmetry.

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