What are the zeros of the function?

Step-by-step explanation:

2x⁴ = 9x²

2x⁴ - 9x² = 0

x²(2x² - 9) = 0

Either x² = 0 or 2x² - 9 = 0.

When x² = 0, x = 0.

When 2x² - 9 = 0, x² = 9/2, x = ± 3/√2.

Hence the solutions are

x = 0, x = 3/√2 and x = -3/√2.

The coordinates are  (-1, 10).

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving of the shape from one place to other, there is no change in the shape.

Translation is one of the transformations in math. When a shape has been transformed, the original shape is called the preimage and the vertices are usually labeled using uppercase letters (Example: ABCD). The translated shape is called the image and the vertices are labeled using uppercase letters with a “prime” next to each (Example: A′B′C′D′, and is pronounced “A-prime, B-prime, C-prime, D-prime”).

Given:

the point is (-8, 3) whose image point is (-5, 2)

The difference between the coordinates of the image and the coordinates of the original is the same for both points.

 X - (-6, 5) = (4, 4) -(-1, -1)

 X = (4, 4) -(-1, -1) +(-6, 5) = (4+1-6, 4+1+5)

 X = (-1, 10)

Hence, the point is (-1, 10)

Learn more about translation here:

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Answer:

33%

Step-by-step explanation:

Question attached

Answer:

130

Step-by-step explanation:

Number of students old donors can be calculated from the Pareto chart by adding number of blood donors on the different bars:

Type 0= 50

Type A= 35

Type B =30

Type AB =15

Therefore 50+35+30+15=130 blood donors

Answer:

[tex]-5(g - 3h + 5)[/tex]

Step-by-step explanation:

Given

[tex]-5g + 15h - 25[/tex]

Required

Factor using a negative factor

Express each term as a factor of -5

[tex]-5*g - 5*-3h - 5 * 5[/tex]

Factor out -5

[tex]-5(g - 3h + 5)[/tex]

Hence:

The factored form of [tex]-5g + 15h - 25[/tex] is [tex]-5(g - 3h + 5)[/tex]

Answer:

y = -x and 2y = 3x - 10 is the system of equations.

Step-by-step explanation:

Let,

Larger number = x

Smaller number = y

According to given statement;

x + y = 0

y = -x  

And

3x - 2y = 10

Or it can be written as;

2y = 3x - 10

Therefore,

y = -x and 2y = 3x - 10 is the system of equations.

Find how much it grew:

53 - 20 = 33 inches.

Divide the amount it grew by the original length

33/20 = 1.65

Subtract 1:

1.65 - 1 = 0.65

Multiply by 100 for percent:

0.65 x 100 = 65%

The percent increase is 65%

Answer:

300

Step-by-step explanation:

48÷0.16=300

Answer:

300 I believe I it is if you want to believe me

Answer:

4³×5² or 4³5²

Step-by-step explanation:

This is because there are three consecutive 4s, so you have to put the 4 into exponential form 3 times. So the exponential form for the 4s will be 4³. There are also 2 consecutive 5s so you have to include 2 in the exponential form. So, the exponential form of the 5s is 5². Now you have to somehow multiply them together. You could do this by putting a multiplication sign, (4³×5²) or you could bunch them together and it will mean the same thing (4³5²).

Hope this helps :)

Answer:

324

Step-by-step explanation:

18 x 18 = 324

Answer:

324

Step by step explanation:

18² = 18 × 18

= 324

Answer:

x=56°

Step-by-step explanation:

62x2=124 and 180-124=56

Answer: 8 and 20

Step-by-step explanation:

From the question, we are informed that 28 pieces of candy are put into 2 groups in the ratio is 2 to 5.

The number of pieces of candy that will be in each group will be:

1st group = 2/(2 + 5) × 28

= 2/7 × 28

= 2 × 4

= 8

2nd group = 5/(2 + 5) × 28

= 5/7 × 28

= 5 × 4

= 20

Answer:

Step-by-step explanation:

What is the sum of the first five terms of a geometric series with a1 = 20 and r= 1/4?

For a Geometric series, the sum S, is given by  

s=a_1 ((1-r^n)/(1-r))

a=20 ,      n=5,         r=1/4

s=20((1-〖(1/4)〗^5)/(1-1/4))=26 2/3

Answer:

see below

Step-by-step explanation:

The circumference of a circle is given by

C = pi * d

C = pi * 26

C = 26pi

We can approximate pi = 3.14

C =81.64 inches

or we can approximate pi by using the pi button

C =81.68140899 inches

Using the choices listed and approximating pi as 3

C = 3*26 = 78 inches

Answer:

Q1.

AC is the greatest side, therefore is hypotenuse. AB and BC are legs.

B is 90 deg as the two legs cross at this point.

Ratios:

BC is opposite to A and adjacent to C

AB is adjacent to A and opposite to C

Q2.

a) Answered above

b) Answered above

We want to find the equation of a line given that we know two points on the line.

The line is:

[tex]y = \frac{-3}{2}*x - 3[/tex]

Let's see how to find the line equation.

We know that a line equation is written as:

[tex]y = a*x + b[/tex]

Where a is the slope and b is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is given by:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that the line passes through the points (-4, 3) and (2, -6), then the slope of our line is:

[tex]a = \frac{-6 - 3}{2 - (-4)} = \frac{-9}{6} = \frac{-3}{2}[/tex]

Then the line is something like:

[tex]y = \frac{-3}{2}*x + b[/tex]

To find the value of b, we can use one of the two points on the line.

For example, I will use the second one, (2, -6).

This means that when x = 2, y must be equal to -6.

Then we can replace that in the line equation and solve it for b:

[tex]-6 = \frac{-3}{2}*2 + b\\\\-6 = -3 + b\\-6 + 3 = -3 = b[/tex]

Then the equation of the line is:

[tex]y = \frac{-3}{2}*x - 3[/tex]

A graph of this line can be seen below, where the two points are also graphed.

If you want to learn more, you can read:

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Answer:

-3x + 4

Step-by-step explanation:

Answer:

137

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

Triangles are similar if their angles are the same, and if the sides are changed by a proportional ratio. The angles for FED and ZXY are not the same. Therefore, they are not similar

Answer:

D. Neither

Step-by-step explanation:

Similar triangles are scaled versions of each other. Two triangles that are similar will have congruent angles. Hence, to find a triangle that is similarto ABC, the angles of the other triangles will be congruent to the given angles of ABC. As one can see, no other triangle has congruent angles to ABC, and hence the answer is D, neither of the two triangles are similar to ABC.

Step-by-step explanation:

can you send a picture so we can see at least?

Answer:

The New Deal was a series of programs, public work projects, financial reforms, and regulations enacted by President Franklin D. Roosevelt in the United States between 1933 and 1939

Step-by-step explanation:

x and y are variables the represent a number

Answer:

20&22

Step-by-step explanation:

let the numbers be X and X+2.

By question, X×(X+2)=440

or, X^2+2X=440

or, X^2+2X-440=0

or, X^2+(22-20)X-440=0

or, X^2+22X-20X-440=0

or, X(X+22)-20(X+22)=0

or, (X+22)(X-20)=0

Either,X-20=0 Or, X+22=0

•°•X=20(true) •°• X=-22(false)

•°•X=20

•°•X+2=20+2=22

•°• The two consecutive even numbers are 20 and 22.

Step-by-step explanation:

t=d/r

......................

Answer: y=-4x+1

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b. Therefore, y needs to be on one side of the equation, and the x term and constant need to be on the other. Rearrange the equation to make this true:

4x+y=1

(4x+y)-4x=1-4x

y=1-4x

y=-4x+1

Answer is B.

Thanks!!

Answer:

d

Step-by-step explanation:

40/50

25 pages have journalism - 25 pages

Few pages have a sort of souvenir - 2 pages

1/3 of pages are thin - 4 pages

1/3 of pages have a thin border - 4 pages

1/3 of pages are thick - 4 pages

Well my answer would be D.Journalis.

(If I am wrong I am VERY sorry, I am a sixth grader sooo)