Mathieu is finding the x-intercepts of the function
f(x) = x2 + 4x + 3. His work is shown below.
Which error did Mathieu make?
He factored incorrectly.
He did not use the constant as the x-intercept.
O He set the factored expressions equal to each
other.
1.0 = x2 + 4x + 3
2. 0 = (x + 3)(x + 1)
3. x + 3 = x + 1
4. X = X-2
5.0 = -2
6. There are no x-intercepts.
O He incorrectly solved the equation x + 3 = x + 1.

Answers

Answer 1

Answer:

Step-by-step explanation:

He set the factored expressions equal to eachother

Answer 2

Mathieu made the error of setting the factored expressions equal to each other. In step 3, he incorrectly wrote x + 3 = x + 1. This is not true, and it led him to the incorrect conclusion that x = -2.

What is standard error?

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Suppose that we're given that:

Population standard deviation =[tex]\sigma[/tex]

Size of sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

We are given that;

f(x) = x2 + 4x + 3

Now,

To find the x-intercepts of the function f(x) = x^2 + 4x + 3, you need to set the function equal to zero and solve for x:

x^2 + 4x + 3 = 0

You can factor this quadratic equation as:

(x + 3)(x + 1) = 0

Then, you can use the zero product property to find the values of x that make the equation true:

x + 3 = 0 or x + 1 = 0

Solving for x in each equation gives:

x = -3 or x = -1

Therefore, after finding the error step 3 will be f(x) = x^2 + 4x + 3 are (-3, 0) and (-1, 0).

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Related Questions

d equals 0.5+ 5T do you equals distance in miles and T equals time what are the independent and dependent variables

Answers

Answer:

Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be used to relate the total distance, ...

Step-by-step explanation:

whats the solution to the model below?

X=3
x=1
x=2
x=7​

Answers

Answer:

[tex]2x + 4 = 10[/tex]

[tex]2x = 6[/tex]

[tex]x = 3[/tex]

What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3 The slope of line A Equals negative 5. The slope of line B Equals 2. The slope of line A Equals negative 2. The slope of line B Equals 3. The slope of line A Equals 5. The slope of line B Equals negative 2. The slope of line A Equals 3. The slope of line B Equals negative 2.

Answers

Answer:

A. -5, 2

Step-by-step explanation:

I got it right.

The slope of line A equals negative 5 and the slope of line B equals 2. Then the correct option is A.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The equations of line are given below.

Line A: y = –5x – 2

Then the slope of the line A will be

Slope A = –5

Line B: y = 2x + 3

Then the slope of the line B will be

Slope A = 2

The slope of line A equals negative 5.

The slope of line B equals 2.

Then the correct option is A.

More about the equation of line link is given below.

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What is the upper quartile in the box plot? A box-and-whisker plot. The number line goes from 100 to 125. The whiskers range from 104 to 125, and the box ranges from 107 to 122. A line divides the box at 119.

Answers

Answer: cncnnc

Step-by-step explanation:

true false no my

Answer:

Ya'll the answer is 122

Step-by-step explanation:

I checked in with the AI helper and he would always help me, also I got the answer from the AI.

:) hope this helps

      and if your ever stuck on a question,

       Ginny the AI will come to help u Byeeeee :D

Kayla randomly surveyed the eight-grade classes at her school and found that 12 out of 50 own a pet. Based on these data, how many of the 150 eight-grade students in kayla’s school would be expected to own a pet?

Answers

Answer: The answer should be 36

Answer:

36 students

Step-by-step explanation:

Set up a proportion

12/50=x/150

Cross multiply

50x=1800

Divide by 50 on both sides

x=36

So 36 out of 150 8th grades students would be expected to own a pet

Hope this helps! :)

lol2
Where's the Lie?
Here are three statements that Tiana wrote about this
exponential
One of the statements is a lie. Which is it?
A. For very large values of x, the exponential has very large
values of y.
OB. The y-intercept of the exponential is (0,1).
C. The point (-2,4) is on the exponential.
Explain how you know it's a lie.

Answers

Answer:

A.

Step-by-step explanation:

As the x value is increasing the y is decreasing because the graph shows exponential decay.

The graph of a simple exponential function always pass through (0,1)

The statement that is a lie is (a) For very large values of x, the exponential has very large  values of y.

From the graph, we have the following highlights

The graph passes through point (0,1); this means that the y-intercept is (0,1).The graph passes through (-2,4)

The above highlights mean that options (b) and (c) are true, while option (a) is a lie

Option (a) is a lie because, as the value of x increases, the value of y increases.

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A sphere is cut into 8 congruent pieces. The radius of the sphere is 8 centimeters. One piece is shown in the diagram. What is the surface area of one piece of the sphere, as shown in the diagram? Express the answer in terms of π. 64π cm2 80π cm2 256π cm2 384π cm2

Answers

Answer:

B. 80pi cm^2

Step-by-step explanation:

Answer:

Option number 2

Step-by-step explanation:

5. Cameron is 48.6 inches tall and
Kellen is 50 inches tall. How
much taller is kellen?​

Answers

69 because she is tall as shut

Answer:

the answer is 1.4 inches taller

Step-by-step explanation:

For a class project, a teacher cuts out 15 congruent circles from a single sheet of paper that measures 6 inches by 10 inches. How much paper is wasted?

Answers

Answer:

60 – 15π square inches

Step-by-step explanation:

Assuming a diameter of 2 inches for each circle, then because the height of the sheet is 6 inches and the length is 10 inches, 5 columns of 3 circles each, are formed (see picture attached).

The area of each circle is: (π*D^2)/4 = (π*2^2)/4 = π square inches

The area of the 15 circles is: 15π square inches

The area of the sheet is = 6*10 = 60 square inches

The wasted paper is equal to the difference between the area of the sheet and the area of all circles, that is, 60 – 15π square inches

Answer:

60 – 15π square inches

Step-by-step explanation:

A circle has a central angle that measures 23º and the arc length is 12pi. Find the measure of the radius in radians. Round answers to nearest hundredth.

Answers

Answer:

The radius of the circle is 93.91

Step-by-step explanation:

In order to calculate the radius of this circle we can apply the formula to find the arc length. This formula is shown below:

length = [(angle)*pi*radius]/180

Since we want to find the radius we can isolate that variable, as shown:

(angle)*pi*radius = length*180

radius = (length*180)/(angle*pi)

radius = (12*pi*180)/(23*pi) = (12*180)/23

radius = 93.91

What is the volume (in cubic feet) of the composite shape rounded to the nearest whole number.
https://lh4.googleusercontent.com/vUIfZHaKxbdifO93idzlasRKfEgvrv14A-EqM3jgStNqNpMzpBqIf2mI5R_S4juEGlQnyVlZfDxjJFMkbmYu5Gt7LyBl241M1XtOtKLHXRidvyOygtO4tvdkcTuU=w147

Answers

Answer:

109.956

Step-by-step explanation:

Formula for Volume of Cylinder: V = (pi)r^2H

84.823 + 25.133 = 109.956 (in cubic feet)

Round to the nearest ten thousand and then subtract

Answers

39,151 rounds to 39,000 and 30,619 rounds to 31,000, so the answer is approximately 8,000.

How would you dilate the point (-3,2) by a scale factor of 1/2

Answers

you would multiply each value by the scale factor

Well there is a few ways

Point A (-3, 5) is rotated 180º about the origin. What are the coordinates of A' after the rotation?

Answers

Final answer:

A point when rotated 180º about the origin flips the sign of the coordinates. Thus, point A' after rotating point A (-3,5) 180º about the origin would have coordinates (3,-5).

Explanation:

A rotation of 180º about the origin essentially changes the signs of the coordinates. If we have Point A as (-3, 5), after a 180° rotation about the origin, you'll get Point A', which will be the opposite of Point A. That means it turns (-3, 5) to (3, -5).

Rotation about the origin flips the point across both axes. This is based on a rule in mathematics: When we rotate a point 180° about the origin, (x, y) becomes (-x, -y).

The coordinates of A' after the 180° rotation are (3, -5).

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Slope is found by dividing the change in ____ by the change in ____. x; y y; x

Answers

Answer:

Change in Y by the Change in X.

Step-by-step explanation:

Slope can be found by dividing the rise (change in y) by the run (change in x).

[tex]m =\frac{rise}{run} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Answer: y;x

Step-by-step explanation: USATESTPREP

You’re welcome :)

I really need help on this sooo yeah​

Answers

Answer:

XVW

Or

WVX

Step-by-step explanation:

Since it's an isosceles triangle, it can either be:

XVW

Or

WVX

Round your answer to the nearest hundredth.

Answers

Answer:

8.06

Step-by-step explanation:

A² + B²= C²

4² + B² = 9²

16 + B² = 81

B² = 81 - 16

B² =  65

B = [tex]\sqrt65[/tex]

B = 8.06225775

Rounded = 8.06

Answer: 26⁰

Step-by-step explanation:

I hope this help

2.65 multiply by 100

Answers

Answer:

265

Step-by-step explanation:

Answer:

265

Step-by-step explanation:

gimme brainliest plz


In the circle below, diameter CD is perpendicular to chord AB as shown. Radii OB and OA are drawn.

(a) How could we prove that OEB is congruent to OEA? Explain.




(b) What does your answer tell you must be true about segments AE and BE ? Why?


(c) If the diameter of circle O is 20 and CE  4, then determine the length of AB . Show how you arrived at your answer.

Answers

Answer:

The length of AB is 16 units.

Step-by-step explanation:

(a)

We know that [tex]\angle OEB = 90\°[/tex], by given, so it's a right angle, by definition.

[tex]\angle OEA[/tex] and [tex]\angle OEB[/tex] are adjacent angles on a straight angles. That means they are sumplementary angles by definition.

[tex]\angle OEA + \angle OEB = 180\°\\ \angle OEA = 180\° -90\°\\\angle OEA = 90\°[/tex]

Therefore, [tex]\angle OEA = \angle OEB[/tex].

(b)

Sides AE and BE are congruent, because the congruence between those right angles, and the congruence between the other corresponding sides justify the congruence between sides AE and BE.

Notice that the hypothenuses of each right triangle are congruent, because they are also radius of the circle, which means they are congruent by definition.

Additionally, side OE is a common leg for both right triangles.

Therefore, sides AE and BE are congruent.

(c)

We know that [tex]d=20[/tex] and [tex]CE=4[/tex], that means the radius is

[tex]r=\frac{d}{2}=\frac{20}{2}=10[/tex]

Notice that the chord AB is formed by AE and BE by sum of segments.

We know the hypothenuses are equal to 10 units of length, because they are radius.

Additionally,

[tex]OC=OE+EC[/tex], by sum of segments.

[tex]10=OE+4\\OE=10-4\\OE=6[/tex]

Which means the common leg is 6 units long.

Now, we use the Pythagorean's theorem to find the missing leg

[tex]OB^{2}=EB^{2}+OE^{2}\\ 10^{2}=EB^{2}+6^{2}\\100-36=EB^{2}\\EB=\sqrt{64}\\ EB=8[/tex]

But, [tex]AB=AE+EB[/tex], by sum of segments.

[tex]AB=8+8=16[/tex], because [tex]AE=EB[/tex] we said before.

Therefore, the length of AB is 16 units.

Rozwiąż poniższe równanie.


Egzamin składał się z 20 pytań za każdą dobrą odpowiedź można otrzymać 7 punktów, a za złą traciło sie 2 punkty. Filip odpowiedział na wszystkie pytania zdobywając 104 punkty. Na ile pytań udzielił błędnej odpowiedzi?

Answers

Answer:

18

Step-by-step explanation:

Answer:18 bo 20*7=140 140-104=36 36:2=18

Step-by-step explanation:

What is the area of the figure? 6-sided concave polygon with side with 40 inches, 10 inches, 22 inches, 40 inches, 18 inches, and 50 inches. 180 square inches 190 square inches 1200 square inches 1120 square inches

Answers

Answer:

1120 square inches or OPTION D

Step-by-step explanation:

40 × 50 = 2000

(50 - 10) × (40 - 18) =

40 × 22 = 880

2000 - 880 = 1120

An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. In cubic millimeters, how much frozen water is in the icicle? Use 3.14 for . Round your answer to the nearest hundredth.

Answers

Answer:

volume ≈ 572.27 mm³

Step-by-step explanation:

The icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. To find how much in cubic millimetres the frozen water is in the icicle can be calculated below.

In other words the question want us to find the volume of the cylinder. The volume of the cone can be represented as follows:

volume of a cylinder = 1/3πr²h

where

r = radius

h = height

diameter =  9 mm

height = 27 mm

r = diameter/2 =  9/2 = 4.5

volume = πr²h

volume = 1/3 × 3.14 × 4.5² × 27

volume = 1/3 × 3.14 × 20.25 × 27

volume = 1/3 × 63.585 × 27

volume = 1716.795/3

volume = 572.265 mm³

volume ≈ 572.27 mm³

Answer:

572.27 mm³

Step-by-step explanation:



Suppose you only look at the height of the bars on the graph. Which conclusion would you MOST LIKELY reach?
A) Twice as many Democrats as Republicans agreed with the court.
B) Twice as many Republicans as Independents agreed with the court.
C) Three times as many Democrats as Republicans agreed with the court.
D) The total number of Republicans and Independents agreeing with the court is half the number of the Democrats that agreed.

Answers

Answer:c

Step-by-step explanation:

Sarah has 10 apples and 2 go missing. How many does she have now?

Answers

Answer:

8

Step-by-step explanation:

10 take away 2 is 8.

10-2=8 she has 8 apples left

Asphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm3.
What is the volume of the sphere?

Answers

Answer:

6

Step-by-step explanation: Hi the answer is 6 because a cylinder is 3 times a cone so the cylinder divided by 3 would be your answer

Graph the line x = -3

Answers

Answer:

Draw a vertical line passing through (-3,0)

Alex puts his spare change in a jar every night. If he has $11.09 at the end of January, $22.27 at the end of February, $44.35 in April, $75.82 in July, $89 in August, and $114.76 at the end of October, perform a linear regression on this data to complete the following items. What does the value of the correlation coefficient tell you about the correlation of the data? Write the equation of the best-fitting line. On average how much money does Alex add to the jar each month? Alex wants to buy a video game console at the end of December for $140. Will he have enough for this purchase. Show equation. THANK YOU!

Answers

the answer is about $22 each month and no he will not have enough

15) Solve. −x2 = 2x − 15 A) x = 3, x = 5 B) x = −3, x = 5 C) x = 3, x = −5 D) x = −3, x = −5

Answers

Answer:

x=-5                   x=3

Step-by-step explanation:

−x2 = 2x − 15

Add x^2 to each side

x^2−x2 =x^2+ 2x − 15

0 = x^2+ 2x − 15

Factor

What two numbers multiply to -15 and add to 2

5*-3 = -15

5-3 =2

(x+5) (x-3) =0

Using the zero product property

x+5 =0        x-3=0

x+5-5=0-5    x-3+3=0+3

x=-5                   x=3

22. There are 31 girls and
25 boys in the marching band. When
the band marches, they are in 7 rows.
How many people are in each row?

Answers

Answer:

8

Step-by-step explanation:

To solve this problem, you need to divide the total number of people the by the amount of rows you have to see how many people can fit in each row.

With 31 girls and 25 boys, you have a total of 56 people.  Divide 56 by 7 to get 8.

You will have 8 people in each row.

Answer:

8 people.

Step-by-step explanation:

31 + 5 = 36. 36 + 20 = 56.

56 divided by the number of rows which is 7 in this case = 8.

There will be 8 people per row. Consisting of males and females.

P.S

Have an Amazing Day, I Hope this Helps and Good Luck!!

-Faker/Tosrel

Examples of irrational numbers

Answers

Answer:

1.375, 2/5, 0.06, etc.

Step-by-step explanation:

Basically anything that is not a whole number.

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