Which point is a point where the graph of y= (x + 2)(x2 + 4x+3) crosses the x-axis?
A. (-3,0)
B. (2,0)
C. (1,0)
D. (3,0)

Answers

Answer 1

Answer:

A. (-3, 0)

Step-by-step explanation:

There should seemingly be 3 points where this graph crosses the x-axis. To determine each of them we can respectively set y to 0;

0 = (x+2)(x^2 + 4x + 3),

A quick way we can factor x^2 + 4x + 3 is using Vieta's Theorem. I don't ideally use it but since x1 * x2 = 3, and x1 + x2 = - 4 then x1 = -1 and x2 = -3. Since these are the roots the factored expression should be (x + 1)(x + 3).

0 = (x+ 2)(x +1)(x + 3),

x = -2, x= - 1, x= - 3

So the x-intercepts are (-2,0), (-1, 0), and (-3,0)

Your answer is option a


Related Questions

Help. Examine the figure below. Determine which of the following angle measures are correct PICK up 2 answers

Answers

Answer:

RPQ = 30 and QRP = 75

Step-by-step explanation:

First we need to find "x".

Since we know that all the angles of a triangle must equal 180 and we know that angles PQR and QRP are the same (Due to the fact that two of the lengths of the triangle are the same) we can set up an equation.

x + (2x + 15) + (2x + 15) = 180

1. we can drop the parentheses (when there is a + in front of an expression in parentheses, the expression remains the same)

x + 2x + 15 + 2x + 15 = 180

2. We can collect the like terms to simplify the equation. (x and 2x and 2x combine to equal 5x) (Remember that there is a hidden 1 behind an "x" without a number next to it)

(the two 15's add together to make 30)

This leaves us with this equation

5x + 30 = 180

3. Now we suptract the constant from 180 (The constant is 30)

5x = 180 - 30

5x = 150

4. Now we devide both sides by 5

x = 30

Next we can find all of the angles

PRQ = (2x + 15)

1. PRQ = (2(30) + 15)

2. PRQ = (60 + 15)

3. PRQ = 75

RQP = (2x + 15)

1. RQP = (2(30) + 15)

2. RQP = (60 + 15)

3. RQP = 75

RPQ = x

RPQ = 30

Please help 10 pts given

Answers

Answer:

6.50 per mile

Step-by-step explanation:

PLEASEEEEE HELPPPPP THIS IS ALGEBRA 1

Raise m to the 5th power, then multiply 8 by the result

Answers

Answer:

8m⁵

Step-by-step explanation:

m to the 5th power = m × m × m × m × m

                                = m⁵

Then multiplied by 8 = 8 × m⁵

                                   = 8m⁵

Therefore, m to the 5th power multiplied by 8 will be represented by 8m⁵.

A private college allows local residents to use athletic facilities such as the gym and the pool for a fee. The college charges a one time registration fee of $25 and also charges a fee of $18 per semester of use. complete the table to show the total cost of using the athletic facilities after each semester listed.

Answers

Step-by-step explanation:

1) 43

2) 61

3) 79

4)97

5)115

Answer:

popoverlover20 is correct I got it right

Step-by-step explanation:

HELPPP THIS IS TIMEDD I NEED A STEO BY STEPP

Answers

Answer:

Why do you need a step by step

Step-by-step explanation:

5^2 + [15-4(3 1/5)] -15.4
And you have to show your work Bc the dang teacher is strict

Answers

Answer:

I think the answer is 11.8

Step-by-step explanation:

25+ [ 15- 4 x 16/5] - 15.4

25 +[ 15- 4/1 x 16/5] - 15.4

25+ [ 15 - 20/5 x 16/5] - 15.4

25 +[ 15 -  64/5] - 15.4

25+ [ 15/1 - 64/5] - 15.4

25+ [75/5 - 64/5] - 15.4

25+ 11/5 - 15.4

25+ 2.2 - 15.4

27.2 - 15.4

11.8

The perimeter of the base of a square pyramid is 16 feet and it stands 20 ft tall. Calculate the volume.​

Answers

Answer: [tex]1706.67 feet[/tex]

Step-by-step explanation:

Formula: Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]

a is the length of the base's edge and h is the height. Since 16 is the length we would square it as it is the length, then we would multiply it by the height which is 20 ft.

Steps: Multiply

Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]

= [tex]\frac{1}{3} * 16^{2} * 20[/tex]

= [tex]1706.67 feet[/tex]

~I hope I helped you :)~

can i plz get help wit 5(6x-10y+7)
5(6x−10y+7)

Answers

Answer:

5(6x -10y +7) (use the distributive property)

30x -50y +35  (simplest form)

Step-by-step explanation:

How many terms are in this expression ?-3x + 7y - 6 *

Answers

Answer:

3 terms in the expression


How can you evaluate 2º?

Answers

Anything powered to 0 is 1! So the answer is 2^0=1

On a coordinate plane, 2 lines intersect at (0, 1).
By observation, what is the solution to this system?
(–1, 0)
(1, 0)
(0, 1)
(0, –1)

Answers

Answer:

(0,1)

Step-by-step explanation:

i just did it

Answer:

(0,1) ur welcome!!

Step-by-step explanation:

12- [3 - (13) * 2]
I need work shown

Answers

Answer:

35

Step-by-step explanation:

Answer:

12−(3−(13)(2))

=12−(3−26)

=12−(−23)

=35

Step-by-step explanation:

Find the slope of the line that passes through A(–2, –1), B(–1, 1)

A)1/2
B)-1/2
C)-2/1
D)2/1

Answers

The answer is C! Hope I was able to help! If yes mark me brainly!

how do I find the slope and y intercept of y=4x-4​

Answers

Answer:

the slope is 4/1 because it's 4x and the y intercept is -4

Answer:

slope: 4

y intercept: -4

Step-by-step explanation:

the equation you're given is in y = mx + b format

the "b" in the equation is the y intercept

the x and y are the variables

and the "m" is the slope

so in this case, the "m" would be 4 because it is the number right next to x

the -4 would be the "b" in this because it is after the "y=" and does not have a variable

I'd love some help with this, and I'll mark brainliest! :))

Answers

Answer:

He will work out for a total of 2,835 min or 47.25 hours

He will not meet his minimum workout time for the18 week period

Step-by-step explanation:

The pattern is tat he adds 15 min each week to his work out regime:  

Wk1: 30min       Wk11:180min

Wk2: 45 min      Wk12: 195in

Wk 3: 60 min      Wk 13:210min

WK4: 75min         Wk 14: 225 min

Wk5 90 min         Wk15: 240min

Wk6: 105 min        Wk16: 255 min

Wk7; 120min         Wk17: 270min

Wk8: 135min         Wk 18: 285min    For a total of 2,835 min and divide by

                                      60 to get the number of hours= 47.25 hours

Wk9: 150min

Wk 10: 165 min

y=-3x+4
y=2x-1
what’s the solution?

Answers

your answer is (1,1)

Answer:

use desmos graphing calc. our teacher reccomended it to us

Step-by-step explanation:

Solve the proportion.
W/84=5/7

Answers

Answer: w = 60

Step-by-step explanation: 7 x 12 = 84

5 x 12 = 60

what is 6+ 4 - 2 first to answer gets brainlist

Answers

Answer:

8

Step-by-step explanation:

Answer:8

Step-by-step explanation:

Karen is planting a garden as shown she wrote the expression r(5+4) find the area of her garden which expression is equal to Karen’s expression?

Answers

Answer:

5r + 4r

Step-by-step explanation:

I think that's what it is

Two complementary angles have a difference of 22 degrees. What are the two angles?
plz its due in 20 min

Answers

Answer:

If two angles sum is equal to 90° and makes right angle called = complementary angle...☺️✌️

Above sum solution....

one angle =x

other angle =y

According to question

x+y= 90°......(1)

x-y=22°......(2)

from one and two ....by eliminating method...

2y=68

y=68/2

y=34

put y in equation 1

x+y=90°

x+34=90°

x=90°-34

x= 56...

To verify add both

sum = 90°

Hence ..verified...

Step-by-step explanation:

hope its helps u...☺️✌️✌️

Answer:

13 degrees

Step-by-step explanation:

PLEASEEE ANSWERR
Which steps show how to use the distributive property to evaluate 7 · 88?
A. 7(88)=7(90 - 2) = 7.90-2 +630 – 2 = 628
B. 7(88)= 7(90 - 2) = 7.90-7.2 = 630 – 14 = 616
C. 7(88)=7(90 - 2) = 7.90 +7.2 = 630 + 14 = 644
D.7(88)=7(90 - 2)=7.90 - 90.2 = 630 – 180 = 450

Answers

Answer:

b

Step-by-step explanation:

B because no other make sense

5/3y=-(x-5) in slope intercept form

Answers

Y=mx+b
y=-3/5x+3

I hope this helps!

Required slope intercept form is [tex]y = - \frac{3}{5} x + 3[/tex]

What is slope ?

The slope of a line is a measure of the steepness and direction of the line. Finding the slope of lines in a coordinate plane can help predict whether the lines are parallel, perpendicular, or missing without using a compass.

The slope of any straight line can be calculated using two points on the line. The slope of the line formula calculates the ratio of "vertical change" to "horizontal change" between two different points on the line. In this article we will understand the slope finding method and its applications.

The slope of a line is defined as the change in the y-coordinate relative to the change in the x-coordinate of that line. The net change in the y-coordinate is Δy, while the net change in the x-coordinate is Δx. Thus, the change in the y-coordinate with respect to the change in the x-coordinate can be written as: m = Δy/Δx

Here given,Equation of line [tex] \frac{5}{3}y = - (x - 5)[/tex]

We want to find what is 5/3y=-(x-5) in slope intercept form ?

We want to simplify the equation.

[tex]5y = - 3(x - 5) \\ 5y = - 3x + 15 \\ y = \frac{ - 3x + 15}{5} \\ y = - \frac{3}{5} x + \frac{15}{5} \\ y = - \frac{3}{5} x + 3....(1)[/tex]

We know slope in line y = mx+c is m.

We are comparing equation (1) with y = mx + c and get [tex]m = - \frac{3}{5} [/tex]

Equation (1) is slope intercept form of 5/3y=-(x-5).

Therefore,required slope intercept form is [tex]y = - \frac{3}{5} x + 3[/tex]

Slope related one more question:

https://brainly.com/question/3605446

#SPJ2

Can someone help me on this? this one is confusing....

Answers

The first one is the answer

Answer:

The one you have selected is right

Step-by-step explanation:

A constant speed is a number being added or subtracted at the same right. In this case its 50 each time

50+50= 100

100+50=150

etc

The 2nd one is being multiplied by 10 and the 3rd one is adding 100 which wouldnt be right since you started out with 50.

Hope this helps (:

At a pizza eating competition, Davonne at two more than twice as many slices as the runner-up. If Davonne at 11 slices, then how many slices did the runner-up eat?

Answers

Answer:the runner up ate 3.5 slices

Step-by-step explanation:

You are standing at the edge of a cliff. You look down with an angle of depression of 20 degrees and see a a dog at the bottom that is 130 feet away from where you're standing. What is the height of the cliff? Round your answer to the nearest tenth, and round only once.

Answers

Answer:

47.3feet

Step-by-step explanation:

The set up will give a right angled triangle.

The distance of the dog away from the cliff = 130 feet = adjacent side

Angle of depression = 20°

Height of the cliff = Opposite = x

Using the SOH, CAH, TOA trigonometry identity;

According to TOA;

tan theta = opposite/adjacent

tan 20 = x/130

Cross multiply;

x = 130tan20

x = 130(0.3639)

x = 47.3 feet

Hence the height of the cliff to the nearest tenth is 47.3feet

A school district is planning a banquet to honor its teachers of the year and raise money for its scholarship foundation. The budget to hold the banquet in a hotel ballroom is at most $3,375. The venue can hold no more than 125 guests. The cost is $45 per adult but only $15 per student because the caterer offers a student discount.

What system of inequalities can represent this situation? Let x be the number of adult guests and y be the number of student guests.

Drag the tiles to the correct locations in the system. Not all tiles will be used.

Answers

Answer:

[tex]x + y = 3325 \\ i \:hope \: it \: helps[/tex]

Find the measure of each angle indicated

Answers

Answer:

D) 45 degrees

Step-by-step explanation:

145 = 100 + x

Subtract 100 from both sides

45 = x

OR

180 - 145 = 35

<FEG = 35

100 + 35 + x = 180

135 + x = 180

Subtract 135 from both sides

x = 45

Can someone pls help me

Answers

Answer: x = 7

Step-by-step explanation:

7x+9=58

8x+2=58

These are congruent angles so they are the same value.

[[[PLEASE HELP]]] I need to submit this in a few minutes

Answers

Answer:

3rd choice) $25.97

Step-by-step explanation:

24.50 * 1.06 = 25.97

Can someone please help or explain on how I can do this

Answers

Answer:

NO they are not cangruent.

Step-by-step explanation:

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