Find an equation of the line graphed below: (picture included)

Answer:

2 real roots

2 imaginary roots

Step-by-step explanation:

So we have the function:

[tex]f(x)=x^4-15x^2-16[/tex]

And we want to find its zeros.

First, let u equal x². So:

[tex]0=u^2-15u-16[/tex]

Factor:

[tex]0=(u-16)(u+1)[/tex]

Zero Product Property:

[tex]u-16=0\text{ or }u+1=0[/tex]

Add 16; Subtract 1. Replace u:

[tex]x^2=16\text{ or }x^2=-1[/tex]

Take the square root:

[tex]x=\pm 4\text{ or }x=\pm i[/tex]

So, our solutions are 2 real roots and 2 imaginary roots.

Answer:

AB

Step-by-step explanation:

Answer:

5+k

Step-by-step explanation:

Since k is Kathy's height and we know Jo is 5+ cm than Kathy. That makes Jo = 5+k

Answer:

-12r^2 + 89r - 145

Step-by-step explanation:

(2r(2)−16r+29)(r−5)

=(2r(2)+−16r+29)(r+−5)

=(2r(2))(r)+(2r(2))(−5)+(−16r)(r)+(−16r)(−5)+(29)(r)+(29)(−5)

=4r2−20r−16r2+80r+29r−145

=−12r2+89r−145

Answer: The square root of 140 is irrational.

Step-by-step explanation:

Take the square root of 140:

11.8321595662

This is an imperfect square root, and all imperfect square roots are irrational.

Answer:

My answer is (-3, 17).

Step-by-step explanation:

You will use minus sign for the equation in other to eliminate one of the letters and use the other one to find the one eliminated later...Which means that 4x+y=5 (-) 3x+y=8..... the minus sign will eliminate +y and +y in each equation because the "+y" in the second equation will be turned to -y because + times(×) - will give us minus sign so the "y" will be eliminated to give space for the 'x" .After the x has been found which is x=-3 then you will substitute x=-3 into the any equation and then you will also find the "y" which is y=17.....Thank you

Answer:

0

Step-by-step explanation:

The base is 3. You are taking the log base 3 of 1.

Since 3^0 = 1,

log_3 1 = 0

Answer:

it is only the RATIONAL numbers who can contain that number

Answer:

rational and real numbers!!

Step-by-step explanation:

Answer:

This is a simple multiplication problem.

Here is my steps:

(14x^3 + 35x^2 + 4x + 10x + 8x + 20)

Combine like terms:

(14x^3 + 35x^2 + 22x + 20)

And that is your answer^^

Answer:

14x3+ 39x2 +8x +20

Step-by-step explanation:

Use the distributive property and/or the FOIL (front, outer, inner, last) method.

First:

Multiply (7x2)(2x)

=14x3

Then (7x) (5)

=35x2

Second:

Multiply (2x)(2x)

=4x2

Then (2x)(5)

=10

Third:

Multiply 4(2x)

=8x

Then (4)(5)

=20

You should get:

14x3 +35x2 +4x2 +10 +8x +10

Add all common numbers.

You should get:

14x3+ 39x2 +8x +20

Answer:

Option (C)

Step-by-step explanation:

State                   Year entered into Union

Pennsylvania                      1787

Indiana                                1816

Florida                                1845

Texas                                  1845

West Virginia                      1863

Since North Carolina entered the Union 'x' years after Pennsylvania, expression that represents the the year North Carolina entered the Union will be = (1787 + x)

Therefore, Option (C) will be the answer.

Answer:

The answer is C

Answer:

A

Step-by-step explanation:

Either a or b could work, but he's a magician so it's probably rigged

Answer:

45855

Step-by-step explanation:

45655

+200

=45855

Answer:

45855

Step-by-step explanation:

Answer:

2.06

Step-by-step explanation:

The formula for critical value = Margin of Error / Standard Error

Margin of Error = z × Standard deviation/√n

Mean for the month of March = $305.30

Standard deviation = $46.50

n = number of samples = 26 homes

z score for 95% confidence interval = 1.96

= 1.96 × $46.50/√26

= 17.874024556

Standard error = standard deviation/√n

= $46.50/√26

= 9.1194002839

Critical value = Margin of Error/Standard Error

= 17.874024556/9.1194002839

= 2.06

Answer:

They keep adding 3x as much

Answer:

177 cm²

Step-by-step explanation:

Area of circle = [tex]\pi[/tex]r²

Radius = diameter/2 = 15/2 = 7.5

Therefore,

Area = 22/7 × 7.5 × 7.5

        = 176.7 = 177 cm²

Answer:

The answer is

Step-by-step explanation:

Area of a circle is given by πr²

where

r is the radius

From the question we were given the diameter

To find the radius using the diameter we use the relation

[tex]radius = \frac{diameter}{2} [/tex]

diameter = 15 cm

[tex]radius = \frac{15}{2} [/tex]

radius = 7.5 cm

Substitute the value into the above formula and solve for the area

Area = (7.5)²π

= 56.25π

= 176.714586

We have the final answer as

176.71 cm² to 2 decimal places

Hope this helps you

Answer:aw45

Step-by-step explanation:

w

Answer:

D

Step-by-step explanation:

The function f(x) = 1050 is a polynomial with degree zero option (A) this is a polynomial function of degree zero with a leading coefficient of 1,050 is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

The question is incomplete.

The complete question is:

Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a

polynomial, state why.

F(x) = 1,050

We have a function:

f(x) = 1050

We can write it as:

f(x) = 1050x⁰

x⁰ = 1

As we know from the definition of the polynomial:

The polynomial is a combination of the variable and constant with powers of x that are non-negative.

f(x) = 1050 is a polynomial function of degree zero with a leading coefficient of 1,050.

Thus, the function f(x) = 1050 is a polynomial with degree zero option (A) this is a polynomial function of degree zero with a leading coefficient of 1,050 is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ5

Answer:

Step-by-step explanation:

(.45)(288)= $129.60

(.75)(72)= $54

$129.60 + 54 = $184.60 is Audrey's pay

By assembling 288 small baskets and 72 large ones she earned  $183.6.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The owner pays her $0.45 per small basket and $0.75 per large basket and she assembled 288 small baskets and 72 large ones.

So, Her total pay can be obtained if we multiply pay per box by the no. of boxes and add them it will be her total pay which is,

= (0.45)(288) + (0.75)(72).

= $(129.6 + 54)

= $183.6

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Answer:

A C and E

Step-by-step explanation:

Answer:

9,000

Step-by-step explanation:

If x < 5, we round down.

If x ≥ 5, we round up.

Since 8,503, 500 is ≥ 5, we round up to 9. So,

8,503 ≈ 9,000

Answer:

9,000

Step-by-step explanation:

You're done! I hope this helps!

Answer:

7812.5 J

Step-by-step explanation:

Kinetic energy is equal to 1/2 m v^2.

The mass of the object is 100 and the velocity is 12.5 m/s.

Therefore, the kinetic energy is 1/2 (100) (12.5)^2 = 7812.5 J.

Answer:

KE = ½ (100kg) (12.5 m/s)2

KE = ½ (100kg)(156.25)

KE = 7,812.5J  

answer ^

Step-by-step explanation:

KE = ½ mv2

KE = ?

m = 100kg

v = 12.5m/s

Answer:

Segment bisector: JK

MN= 52

Step-by-step explanation:

The segment bisector basically means the point where the line is cut in half. If you study the figure, you can see the two small red lines intersecting The longer line. This means that the two small black segments are equal to each other. With this in mind, we now know that the segment bisector is line JK.

To find the length of MN, study the figure again. You can see that we are given the value of one line segment that is half the length of MN. So all we need to do is multiply that value by 2:

[tex]26*2=52[/tex]

The length of line segment MN is 52.

:Done

Answer:

MN = 52

Step-by-step explanation:

bisector is just a half of its length

looking through the graph

MN = 26 * 2 (just multiply ot by 2)

MN = 52

1. The domain of [tex]V (h(r))[/tex] is restricted to values of r greater than 0.

2. [tex]V(h(r)) = 3.5\pi r^3[/tex]

3. The volume depends on the radius of the cylinder

Answer:

Step-by-step explanation:

y + 2 = -5(x - 4)

y + 2 = -5x + 20

y = -5x + 18

Answer:

The answer would be x<4

Answer:

1.) 93.35

2.) 7.582

Step-by-step explanation:

Answer:

1. 3.4 + .95 +89 = 93.35

2. 5.9 +.85 +.832 = 7.582

Answer:

x = 65

Step-by-step explanation:

X/5 +4=17

Subtract 4 from each side

X/5 +4-4=17-4

x/5 = 13

Multiply each side by

x/5 *5 = 13*5

x = 65

Answer:

x=65

Step-by-step explanation:

x/5+4=17

solve for x by simplifying for both sides of the equation, then isolate the variable. x=65

Answer: -4.25 ≤ x ≤ 6.25

Step-by-step explanation:

The midpoint of a segment is located at the same distance of each of the endpoints of the segment.

The midpoint is at x = 1.

The length of the segment is 10.5, if we divide it by two we have:

10.5/2 = 5.25

Now, if we want the endpoints to be at the same distance of the midpoint, then the endpoints will be:

Xmax = midpoint + 5.25

Xmin = midpoint - 5.25

Then the extremes are:

Xmax = 1 + 5.25 = 6.25

Xmin = 1 - 5.25 = -4.25

Then this segment can be written as:

Xmin ≤ x ≤ Xmax

-4.25 ≤ x ≤ 6.25

Answer: x=52/3

Step-by-step explanation:

x+2/3=18

      x=18-2/3 ⇔ subtraction property of equality

      x=54/3-2/3 ⇔ convert integer into fraction

      x=52/3

Hope this helps!! :)

Answer:

see below

Step-by-step explanation:

( x+2)/3=18

Multiply each side by 3

(x+2)/3 *3 = 18*3

x+2 = 54

Subtract 2

x+2-2 =54-2

x = 52

or if

x+2/3=18

Subtract 2/3

x+2/3 -2/3 = 18-2/3

x = 17 +1 -2/3

x = 17  1/3