Determine x-intercepts and zeros of each function

Determine X-intercepts And Zeros Of Each Function

Answers

Answer 1

Given:

The function is:

[tex]y=-(2x-4)(x-2)[/tex]

To find:

The x-intercepts and zeros of the given function.

Solution:

We have,

[tex]y=-(2x-4)(x-2)[/tex]

For x-intercepts, [tex]y=0[/tex].

[tex]-(2x-4)(x-2)=0[/tex]

[tex](2x-4)(x-2)=0[/tex]

Using zero product property, we get

[tex](2x-4)=0[/tex] and [tex](x-2)=0[/tex]

[tex]2x=4[/tex] and [tex]x=2[/tex]

[tex]x=\dfrac{4}{2}[/tex] and [tex]x=2[/tex]

[tex]x=2[/tex] and [tex]x=2[/tex]

The given function has two equal zeroes or x-intercept, i.e., [tex]x=2[/tex].

Therefore, the zeroes are 2 and 2.

Note: All options are incorrect.


Related Questions

A line passes through (0, -1.8) and has a slope of -3. Write an equation of the line.​

Answers

Answer:

y=-3x-1.8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1.8)=-3(x-0)

y+1.8=-3(x)

y+1.8=-3x

y=-3x-1.8

What is another word for relative frequency?

Answers

Answer:

frequency, relative frequency(noun) the ratio of the number of observations in a statistical category to the total number of observations. Synonyms: frequency, oftenness, absolute frequency, frequence.Step-by-step explanation:

brainliest?

Answer: frequency; ratio.

Step-by-step explanation:

1. Determine the following:
1.1. A car does a distance of 340 km for a consistent speed of 85 km/h. Hoy
long will it take the car to go the entire distance.

Answers

Answer:

v=d/t

v=340km/85km/h

v=4 km

I hope this helps you

i posted 2 others already plz help answer i really need this

Answers

Answer:No

Step-by-step explanation:

B. No ;):););):);););):p

PLEASE HELP ME ITS DUEEE TODAYY!!!!!!!!!

Answers

height =h=16inch

Answer:

volume of cuboid =l×b×h

3840in³=20×12×h

h=3840/240=16inch

Can someone find the answer to this and not put a link out

Answers

Answer: B

Step-by-step explanation:

 What is the volume of this cone?
Hint: Find the radius from the given diameter.

Answers

Answer:

volume = 25.1 m³

Step-by-step explanation:

volume = 1/3πr²h = 1/3(3.14)(2²)(6) = 25.1 m³

15 cm
Which equation can be used to find the area of the of the parallelogram?
A)
A = (7)(5)
B)
A = (15)(5)
A = (15)(7)

Answers

Answer:

15 × 5

Step-by-step explanation:

mark me brainliest

Solve each inequality and describe what the solutions would look like on a number line. Be sure to include: 1. Where the solution starts 2. If the circle is open or closed 3. The direction the line is shaded 9+x > -11

Answers

Answer:

[tex]x >-20[/tex]

Step-by-step explanation:

Given

[tex]9 + x >-11[/tex]

Solving (a): The solution

[tex]9 + x >-11[/tex]

Collect like terms

[tex]x >-11-9[/tex]

[tex]x >-20[/tex]

Solving (b): Illustration on a number line

Where the solution starts

It starts on -20

Open or closed circle

An open circle; because the solution shows greater than

The direction

Greater than means that, the solution is towards the right.

Hence, the direction is right

PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.

Answers

Answer:

Step-by-step explanation:

This is very easy watch

x^2-16x+ __

what do we do to find the blank?

We divide 16 by 2 to get 8

then we take the square of 8

which is 64

so this would be  x^2-16x+ 64 = 64

REMEMBER 64 goes to BOTH sides of equation

r= 26, h = 16, S = ?​

Answers

Answer:

S = 6

I think

Answer:

s=6

Step-by-step explanation:

if you are figuering it out in order then r=26 then you subtract 10 and get h=16 so then you subtract 6 more and get s=6

What is the measure of ?
Angles are not necessarily drawn to scale,
B
68
70°
D
A
С

Answers

Answer:

Angle x should be 138 degrees. But I don't see it as one of your options listed in the text of the question.

Is it one of your selections?

Height is 7 inches and the diameter is 2 inches what is the radius

Answers

Answer,  1

The radius is half the diameter

The radius is 1 inch because the radius is half the diameter

find the value of b if triangles are similar

Answers

Answer:

9 because the constant of proportianlity is 3/4 and 3/4 of 12 is 9.

how do you solve this help​

Answers

Answer:

arc PST = 254°

Step-by-step explanation:

arc QPT = 180° because it is a diameter

arc PQ = 74°

arc PT = 180° - 74° = 106°

arc PST = 360° - 106° = 254°

Which measurement is equivalent to 84 inches?
A.8 feet
B. 1 yard, 2 feet, 24 inches
C. 7 feet, 4 inches
D. 4 feet, 40 inches

Answers

Answer: A

Step-by-step explanation:

Answer: B. 1 yard, 2 feet, 24 inches

Step-by-step explanation: 1 yard is 36 inches. Each feet is 12 inches, but there are 2 feet so 12 times 2 is 24 inches. And the last is just 24 inches. So, 36 + 24 + 24 = 84 inches

A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse

Answers

C hope that helps have a good one and stay 28 - 6973

Match each system of equations to the inverse of its coefficient to the inverse of its coefficient matrix, A^-1, and the matrix of its solution, X.

Answers

Answer: Look st the picture below.

Step-by-step explanation: I got this right on Edmentum.

please help! i have a certain amount of time. i'll give brainliest

Answers

Answer:

86ft²

Step-by-step explanation:

3x2/2=3

3x2/6=3

10x2.5=25

10x2.5=25

3x10=30

30+25+25+3+3=86

Which of the following values satisfy the inequality shown? You must select all that apply.

−4x ≤ −16
A. 4

B. -1

C. 12

D. -5

E. 0

F. 9

Answers

Answer:

A , C , F

Step-by-step explanation:

hello :

put this values in −4x ≤ −16 :

x=4 : −4(4) ≤ −16 means : -16≤ −16........true

x=-1 : −4(-1) ≤ −16 means : 4≤ −16........false

x=12 : −4(12) ≤ −16 means : -48≤ −16.......true

x=-5 : −4(-5) ≤ −16 means : 20≤ −16........false

x=0: −4(0) ≤ −16 means : 0≤ −16........false

x=9 : −4(9) ≤ −16 means :-36≤ −16.......true

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.2 cm and 6 cm. If there are 150 tiles in the mosaic, what is the area of the mosaic?

Answers

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

[tex]A=\dfrac{1}{2}\times Base\times height[/tex]

So, the area of Each right triangular tile is:

[tex]A=\dfrac{1}{2}\times 5.2\times 6[/tex]

[tex]A=\dfrac{1}{2}\times 31.2[/tex]

[tex]A=15.6[/tex]

There are 150 tiles in the mosaic. So, the area of the mosaic is:

[tex]Area=15.6\times 150[/tex]

[tex]Area=2340[/tex]

Therefore, the total area of the mosaic is 2340 cm ².

what is 1/3(w+18)=12 using distributive property?​

Answers

Answer:

w = 18

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] (w + 18) = 12 ← distribute parenthesis on left side

[tex]\frac{1}{3}[/tex] w + 6 = 12 ( subtract 6 from both sides )

[tex]\frac{1}{3}[/tex] w = 6 ( multiply both sides by 3 to clear the fraction )

w = 18

when you are given a zero of a function and told that it has a multiplicity of 3, what does that mean?​

Answers

Answer:

the zero of a function is what value you can plug in and get 0 as the answer.

having a multiplicity of 3 means that the zero is there 3 times so if your zero is 2 with multiplicity 3 then (x-2)^3 is what it looks like

Step-by-step explanation:

Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]

We can assume the parent function to be:

[tex]y = \cos (x)[/tex]

The new function can be represented as:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]

[tex]A = 3[/tex]

[tex]c = \pi[/tex]

[tex]\frac{2\pi}{B} = 10[/tex]

Solve for B

[tex]B = \frac{2\pi}{10}[/tex]

[tex]B = \frac{\pi}{5}[/tex]

Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:

Vertically stretched by [tex]3[/tex]Horizontally compressed by [tex]\frac{\pi}{5}[/tex]Right shifted by [tex]\pi[/tex]

Solve the following inequality 10>2x+5

Answers

Answer: 2.5 is greater than x

Step-by-step explanation:

A cereal box is 9 1/2 inches long, 2 1/2 inches wide, and 12 inches high. What is the volume of the box?

Answers

The answer would be 285. When you find volume it's width times hight times length.

Answer:

(19/2)inches × (5/2) inches × 12inches

9.5×2.5×12=285

Which expression is equivalent to: 4x - 2 + 6x
a- 10x - 2
b- 2x - 2
C- - 2x - 2
d- 24x - 2

Answers

You add the like terms which are 4x and 6x
4x + 6x= 10x

10x-2 Which is choice A

Answer:

a. 10x - 2

Step-by-step explanation:

4x - 2 +6x ( collect like terms )

4x +6x - 2

10x - 2

Use point-slope form to write the equation of the line with a slope of 5/2 that goes through the point (-3,-6).

Answers

Answer:

4, (2,-4)

m= 5,(1,)

3,( 2,9)

Answer:

[tex]y+6=\frac{5}{2} (x+3)[/tex]

Step-by-step explanation:

point-slope formula: [tex]y-y_1=m(x-x_1)[/tex]

where m = slope and the point would be [tex](x_1,y_1)[/tex]

point-slope form: [tex]y+6=\frac{5}{2}(x+3)[/tex]

If you want to learn more about point-slope form,

Go to: https://www.albert.io/blog/point-slope-form/#What_is_point_slope_form

Review questions
6. What is slope and y intercept of the line shown in the graph? Write the equation for the line. (3 pts)
Slope,
y-intercept:
Equation:

Answers

Answer:

slope: -3/4    y-intercept: 3   equation: y=(-3/4)x+3

Find the maximum and minimum values of the function. y=1/2sin2x

Answers

Answer:  

(-1/2,1/2)

Step-by-step explanation:

Normally for sinx amplitude is 2 (1 +1). In the case when it is half sine amplitude is halved, therefore 0.5 +0.5 = 1 Paramers alpha = 2x does not matter because it only stretches the graph horizontally.

hope it helped

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