A student performed the following steps to find the solution to the equation
x2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x-4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. The student did not make any mistakes, the solution is correct
B. in Step 2
C. in Step 1
D. in Step 3


Answers

Answer 1

Answer:

step 1, c

Step-by-step explanation:

he was wrong in step 1.

when factoring out (x-4) and (x-2), you have to distribute x*x, x*-2, -4*x, and -4*-2

if you do it you get x^2 - 2x -4x + 8

the correct way to factor will be (x-4)(x+2)

when you factor out you will get the original equation you started with.


Related Questions

how can 1/5 + (-4/5) be modeled on a number line ? complete the sentance. then move 4/5 in the ? direction

Answers

Answer:

negative direction

Step-by-step explanation:

A negative and a positive make a negative:

1/5 + (-4/5) = 1/5 - 4/5

Hope this helps!

Evaluate a-b if a= -10 and b= -6

Answers

Answer:

-4

Step-by-step explanation:

if a=-10 and b=-6

a-b=-10- -6

=-10+6 which can be written as

=6-10

=-4

since -and-is+

The value of expression a-b if a= -10 and b= -6 is -4.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is a-b.

Here, a= -10 and b= -6

Substitute, a= -10 and b= -6 in the given expression, we get

a-b= -10-(-6)

= -10+6

= -4

Therefore, the value of expression a-b if a= -10 and b= -6 is -4.

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Help pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

I have to say this problem is poorly worded.

the answer they're looking for is 8, I believe.

they defined t(x) twice!

4-1/4 with no decimal point​

Answers

Answer:

4-25

Step-by-step explanation:

ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!

Answers

Answer:

3) parallel

4) y = -1/2x +5

Step-by-step explanation:

3) Two equations are parallel if they have the same slope

The equations are written in y=mx+b (standard) form, where m is the slope. Both equations have a slope of 5/4

4) The two points that are plotted are (0,5) and (4,3).

We can find the slope by using the slope equation

(3) - (5) / (4) - (0) = -2/4 = -1/2

then we can plug it in both points to find b

-1/2(4) = -2

-2 + b = 3

b = 3

For what value of c is the function one-to-one?

StartSet (1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c) EndSet
2
5
11
13

Answers

Answer:

13

Step-by-step explanation:

Correct on edge

The function will be one-to-one only if c = 13.

When a function is one-to-one?

A function is one-to-one if and only if each value in the range appears only once.

So, the given set will represent a one-to-one function if c takes a value that is not repeated in any of the other coordinate pairs.

We have:

(1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c)

For the given options, the only element that not already appears in one of the pairs is c = 13, so that is the correct option.

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Answers

Answer:

1-*8364464737353=kgkdtyry

a^27/8





I think yayyayaya

how do you write y - 2 = -(x - 3) in slope-intercept form? A) y = x + 3 B) y = x - 1 C) y = -x + 5 D) y = -3x - 1

Answers

C) y= -x+5
explain:
y-2=-x+3
y= -x+3+2
so y= -x+5

a helicopter flies over a city the helicopter changes it's altitude by -42.9m. then it changes it's altitude by another -15.4m what is the total change in the helicopters altitude

Answers

Answer:

The total change in the helicopter's altitude is [tex]-58.3[/tex].

Step-by-step explanation:

Create an equation.

[tex]-42.9 +(-15.4)[/tex]

Adding two negative numbers is always negative, so simply add the absolute values and make the answer a negative.

[tex]42.9+15.4 = 58.3[/tex]

Now, change the answer to a negative.

[tex]-58.3[/tex]

Thus, [tex]-58.3[/tex] is the answer.

May I please receive help?

Answers

Well I’m not sure if I’m right:
This is my answer:
1

What is the value of x

Answers

145 i hope this helped

Helppppppp pleaseee tyy smmm

Answers

Answer: 56

Step-by-step explanation:

Answer:

10

Step-by-step explanation:


Your last 4 test scores are 65, 70, 80 and
70. If you want to finish with a 74
average, what do you need to get on your
fifth test?

Answers

Answer:

Step-by-step explanation:

74*5 = 370

370 - 65 - 70 -70 -80 = 85

So. you need to get 85 on your fifth test.

Solve for the value of c.

Answers

Right angles = 90 degrees
8c - 5 + 6c - 3 = 90
14c - 8 = 90
14c = 98, c = 7

Solution: c = 7

Step-by-step explanation:

(8c-5)°=(6c-3)°

8c°-5°=6c°-3°

8c°-6c°=-3°-5°

2c°=-8°

c°=-8/2

c°= -4

Substitute the value

{8(-4)-5}

-32-5

-37°

(6c-3)

{6(-4)-3}

-24-3

-27

Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.

Question 3 options:

AB=RS

AB=2RS

ΔABC~ΔRST

△ABC≅ΔRST

m∠BAC=m∠SRT

m∠BAC=2m∠SRT

Answers

The given reflection transformation is a rigid transformation, such that the dimensions are preserved

The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;

AB = RSΔABC ≅ ΔRSTm∠BAC ≅ m∠SRT

Reasons:

The given parameters are;

Triangle ΔABC is reflected across the line y = 2·x

Given that a reflection is a rigid transformation, we have;

The distance between two points on a preimage is the same as the distance between the corresponding points on the image;

Therefore;

ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;

AB ≅ RS, BC ≅ ST, and AC ≅ RT

m∠BAC ≅ m∠SRT

m∠BCA ≅ m∠STR

m∠BAC ≅ m∠SRT

Therefore;

The true statements are;

AB = RSΔABC ≅ ΔRST

Therefore;

m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRST

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What is the P(Red Diamond Face Card) and the P (Black Face Card) ​

Answers

Answer:

9/1352.

Step-by-step explanation:

P(Red Diamond Face Card) = 3/52.

P (Black Face Card) = 6/52 = 3/26.

So the answer is 3/52 * 3/26

= 9/1352.

What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?

Answers

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

All together: 5x - 15 -2x - 2 = 4

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

All together: 3x - 17 = 4

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

20 - 16 = 4

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

Explain why the triangle are similar. Then find the distance represented by x

Answers

Answer:

I think its the rule RHS or SAS that indicates that x is 180ft (scale factor of 1.5)

Step-by-step explanation:

first do 135/90 to find the scale factor of 1.5

then to find x, multiply 120 by the scale factor.

hi Help pls will mark as brainlist!!!!!!!!!​

Answers

Answer:

111

Step-by-step explanation:

the answer is c)111

hop it helps

What can be described as “shooting stars” that streak across the sky in a brief flash of light?(1 point)

comets

meteors

meteoroids

meteorites

Answers

Answer:

the answers for the quick check:

Step-by-step explanation:

1. d. spiral

2. b stars

3. d. meteors

4. d. as it gets closer to the sun

“Shooting Stars” that streak across the sky in a brief flash of light is Option b) Meteors.

"Shooting stars" are captivating phenomena seen in the night sky. They are commonly mistaken for stars, but they are not stars at all.

Shooting stars, or meteors, are not celestial bodies themselves, but rather the luminous trails created when small space rocks, known as meteoroids, enter Earth's atmosphere at high speeds.

These meteoroids are remnants from comets or asteroids.

When a meteoroid collides with Earth's atmosphere, friction causes it to heat up rapidly.

This intense heat causes the meteoroid to vaporize in a brilliant flash of light, leaving behind a streak across the sky.

This streak is what we commonly refer to as a shooting star or meteor.

Comets, denoted by option (a), are icy bodies that originate from the outer regions of the solar system.

They can produce meteoroids, which in turn create meteors when they enter Earth's atmosphere. However, comets themselves are not what we see as shooting stars.

Meteoroids, as mentioned in option (c), are the actual rocky or metallic fragments that create meteors.

When a meteoroid survives its fiery passage through the atmosphere and lands on Earth's surface, it is referred to as a meteorite, as stated in option (d).

In summary, shooting stars, or meteors, are the dazzling result of meteoroids burning up as they speed through Earth's atmosphere. This captivating display is a reminder of the continuous cosmic activity surrounding our planet, turning the night sky into a canvas of transient and awe-inspiring light shows.

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NOTE: This not a Question of Mathematics, this is a Question from Physics

Complete Question

Choose the correct answer from the given options:

What can be described as “shooting stars” that streak across the sky in a brief flash of light?

a) Comets

b) Meteors

c) Meteoroids

d) Meteorites

NEED help asap please find the percentage

Answers

Hope this helps, have a nice day!!

Can someone help me with part b?

Answers

Step-by-step explanation:

the average rate of change of a function f in an interval [x-low, x-high] is

(f(x-high) - f(x-low)) / (x-high - x-low)

the year 2000 means t = 2000-1980 = 20

the year 2015 means t = 2015-1980 = 35

so, we have

(A(35) - A(20)) / (35 - 20)

((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15

((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15

(810 - 747) / 15 = 63/15 = 4.2

the average change rate between 2000 and 2015 is 4.2.

that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.

Find the slope of the line that passes through each pair of points. Expressed as a fraction in simplest form. (8,2),(8,-1)

Answers

Answer:

x = 8

Step-by-step explanation:

The explanation are the pictures. I hope I gave you the correct answer.

Which of the following could possibly be
used to describe the number of people
wearing braces in this room?

A. Whole Numbers
B. Negative Numbers
C. Rational Numbers
D. Irrational Numbers

Answers

Answer:

Hi I believe A. whole numbers

plz let me know if im right

Find the slope of each line.

Answers

Answer:

The slope is m=1, y=1x-2

Step-by-step explanation:

Therefore, the slope is 1/1 so 1.

Plz help. Thank youuu

Answers

Answer:

c

Step-by-step explanation:

cause

what is this problem please help70^1/3

Answers

Answer:

23.333....

Step-by-step explanation:

8. Write the equation of the line in slope-intercept form that has:
points: (3, 5) and (-1,-3)

Answers

Answer:

Step-by-step explanation:

y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.

A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.

Vertical difference “y”  = y 2 – y 1 = − 5 – 1 = − 6  

Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1

Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6  for the slope, m.  

A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.

1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b

Thus the final equation is  y = − 6 ⋅ x − 17

We then check this by substituting the other known point into the equation:

− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object. If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2 ?

Answers

Answer:35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

what is the answer? ​

Answers

Answer:

(write this in the format your curriculum suggests, most are different)

Since BC is longer than AB, this means m<bcd is smaller than m<bad.

A way to prove it mathematically is to look at the triangle on the left. Since It's an isosceles triangle, m<cda and m<dac are equal. However, the triangle on the right does not have two proven congruent sides. All we know is BC is larger than the other side lengths. In a figure like that, the obtuse angle that meets the longest side would be the largest angle.

Apologies for being so wordy.

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