What are the x-intercepts of the graph of the following equation ?

y = -x2 - 4x + 12

(Show work)

Answers

Answer 1

Answer:

           x-intercepts:  (-6, 0) ,  (2, 0)

Step-by-step explanation:

x-intercepts are points where y=0

[tex]y = -x^2 - 4x + 12\\\\y=0\quad\iff\quad -x^2 - 4x + 12=0\\\\{}\qquad\quad\quad a=-1\,,\ b=-4\,,\ c=12\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(4)\pm\sqrt{(-4)^2-4\cdot(-1)\cdot12}}{2\cdot(-1)}=\dfrac{4\pm\sqrt{16+48}}{-2}\\\\x_1=\dfrac{4+\sqrt{64}}{-2}=\dfrac{12}{-2}=-6\ ,\quad x_2=\dfrac{4-8}{-2}=\dfrac{-4}{-2}=2[/tex]

x-intercepts:  (-6, 0) ,  (2, 0)


Related Questions

Solve the equation $\frac{x+1}{2}=4x-3$

Answers

[tex]\frac{x + 1}{2} = 4x - 3\\\frac{x + 1}{2} \cdot 2 = 4x \cdot 2 - 3 \cdot 2\\x + 1 = 8x - 6\\x - 8x = -6 - 1\\-7x = -7\\x = \frac{-7}{-7}\\x = 1[/tex]

Dan has 1, candy bars. He is going to keep of a candy bar for himself and then share the rest with 5 of his friends.
What fraction of a candy bar will each friend get? Show ALL of your work in the box below.

Answers

Answer:

1/6

Step-by-step explanation:

Each friend will get 1/6 fraction of candies.

What is a fraction?

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total candy bar Dan has = 1

Total number of friends Dan have = 5

Implies that there are total 6 friends,

So 1 candy will be shared by each one,

1 candy = 6 persons

1 person = 1/6 candy

The fraction value will be 1/6.

To know more about Fraction on:

https://brainly.com/question/10354322

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help me plz fast and I will mark the brainiest

Answers

Answer:

a is the answer -3

Step-by-step explanation:

-3 (-3) ^2 =81

have a nice day

can some one please answer !! i’ll give you a brainliest!!!!!!!

Answers

Answer:

1) 7/12 is rational

2) √28 is irrational

3) √13/25 is irrational

4)  -15 is irrational

5) 5π is irrational

again hellp
plzzzzzzzz

Answers

Answer: C

Hope this helps :)

If the test is worth 100 points and each homework assignment is work 20% of the test, how many points may be earned during this unit?

Answers

Answer:c

Step-by-step explanation:

i need help or the answer​

Answers

Answer:

5x+4y = 52

Step-by-step explanation:

We can first write the equation in point slope form

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y - 8 = -5/4 ( x-4)

Multiply each side by 4 to get rid of the fraction

4(y - 8) = 4*(-5/4) ( x-4)

4(y - 8) = -5 ( x-4)

Distribute

4y - 32 = -5x+20

We want the equation in the form

Ax + By = C

Add 5x to each side

5x+4y -32 = -5x+5x+20

Add 32 to each side

5x+4y -32+32 =32+20

5x+4y = 52

Identify the property used in each step 2x-10-3=15

Answers

Answer:

x = 1

Step-by-step explanation:

2x-10-3=15 (given)

2x-13=15 (simplification)

2x=2 (addition property of equality)

x = 1 (division property of equality)

hope this helps

the measure of an angle plus twice its complement is equal to 145. find the measure of the angle and its complement ​

Answers

Answer: 35° and 55°

Step-by-step explanation:

For complementary angle, their total value equals to 90°.

Let the measure of the angle be y.

Therefore the complement will be:

= 90° - y

The measure of an angle plus twice its complement is equal to 145 can be expressed as:

y + 2(90 - y) = 145

y + 180 - 2y = 145

y = 180 - 145

y = 35°

The angle is 35° and its complement will be:

= 90 - y

= 90 - 35

= 55°

11
Find the least common denominator (LCD) of
7
and
9
6

Answers

Greetings! I hope this helps!

Answer:

1

Explanation:

7 = 7/1

9 = 9/1

6 = 6/1

what is the formula for volume
plzz hurry

Answers

Answer: length x width x height

Step-by-step explanation:

 

Can someone please help!!

Answers

Answer:

Remainder is 7

Divisor is x-1

Step-by-step explanation:

i got the remainder from remainder theorem

the second i was taught in grade 3

What can be concluded of the graphed polygon.

Answers

Answer:

there's no image!!!!!


Traus earned $13 babysitting on Saturday and Sebabysitting on Sunday By how much doserings on Saturday
exceed his earings on Sunday?
OS
Save and Et

Answers

Answer:

26$ because 13+13 is 26 boom

-4.7x + 4 = 4.6x + 7

Answers

Answer:

-.32

Step-by-step explanation:

-.32 is definitely the answer

What are all the true statements

Group of answer choices

1. Two squares with the same side lengths are always congruent.


2. Two rectangles with the same side lengths are always congruent.


3. Two rhombuses with the same side lengths are always congruent.


4. Two parallelograms with the same side lengths are always congruent.

Answers

Answer:

i am going to say number 1 even though they all sound right hope i helped <3

Step-by-step explanation:

A rectangle has a length of 10 and a width of 6. What is the length of the diagonal?

Answers

Answer:

Step-by-step explanation:

no idea i need points so thats y im commenting

Answer:

Step-by-step explanation:

l = 10

b = 6

d = √ [tex]l^{2} + b^{2}[/tex]

d = √ [tex]10^{2} + 6^{2}[/tex]

= √ 100 + 36

= √ 136

= 11.66

Hope this helps

plz mark as brainliest!!!!!!

The chart below shows how far an object travels over a certain time.

A 3-column table with 4 rows. Column 1 is labeled Seconds with entries 4, 8, 12, 16. Column 2 is labeled Inches with entries 18, 36, 54, 72. Column 3 is labeled feet with entries 1.5, 3, blank, 6.

After 12 seconds, how far, in feet, will the object travel?


It will travel
feet.

Answers

Answer:

I had my child look for the patterns. We found the answer of 4.5. I had her add another 1.5 which gave us the number 6 in the chart to show proof to her.

Answer:

The answer is 4.5

Step-by-step explanation:

Hope this helps you/everyone :)

*PLEASE ANSWER, DIFFICULT QUESTION*

Answers

the set of solutions of the equation |f(x)|=a

is always equivalent to sum of sets of solutions of equations:

f(x)=a

and

f(x)=-a

therefore correct answer is the first and the second equation

what is 4.5 into a fraction

Answers

The answer is 9/2 your welcome
4.5 as a fraction is 9/2

Find the measure of angle 1​

Answers

Answer:

vertically opposite angle6×+8 answers is

find the radius if the diameter is 24cm​

Answers

Answer:

Radius - 12

Simply, divide 2 to the given diametee

Answer:

12

Step-by-step explanation:

Diameter is twice the radius. So to get the radius from diameter, just divide the diameter by 2.

Please look at image to (hopefully) get a better understanding.

Attached is an image from piday; I take no responibility for the creation of this image.

Valeria uses the smoothie store's loyal customer app, and she's earned a reward worth $2 off her next purchase. Knowing she goes there often, her grandma clipped a "Save 15%" coupon" from the newspaper and gave it to Valeria. If her smoothie purchase is $7.50 and the store will only let her use one discount, which should she choose to lower the cost most?

Answers

Answer:

Valeria should use the reward worth $2 off her next purchase.

Step-by-step explanation:

To find the answer, you have to determine what Valeria would pay with each discount:

-reward worth $2 off her next purchase:

$7.50-$2=$5.50

-Save 15% coupon:

$7.50*0.15=$1.125

$7.50-$1.125=$6.375

According to this, the answer is that Valeria should use the reward worth $2 off her next purchase as she will pay $5.50 and with the save 15% coupon she would have to pay $6.375.

2. Write the following number in standard form: (3.NSBT.4)
three hundred eighty-four thousand, twenty-two
T T

Answers

the answer is: 384,022

Find the midpoint of ST given the coordinates S(2,5) and T(-3,7)

Answers

Answer:

(–½, 6)

Step-by-step explanation:

The following data were obtained from the question:

S coordinate = (2, 5)

T coordinate = (–3, 7)

Mid point =..?

The mid point (S, T) can be obtained as follow:

S = (s₁ + s₂)/2

s₁ = 2

s₂ = –3

S =?

S = (2 + –3)/2

S = (2 – 3)/2

S = – ½

T = (t₁ + t₂)/2

t₁ = 5

t₂ = 7

T =.?

T= (5 + 7)/2

T = 12/2

T = 6

Mid point = (S, T) = (–½, 6)

What is the scale factor on a graph

Answers

Answer: The scale factor of a dilation is the factor by which each linear measure of the figure (for example, a side length) is multiplied.

Step-by-step explanation:

A dilation can be described in coordinate notation as (x,y)→(2x,2y)

–3x + 5 = –3x + 10 A. 5/6 B. –5/6 C. no solution D. Idenity

Answers

Answer:

The answer would be C. no solution

Step-by-step explanation:

I hope this helped!

What is Three to the power of negative three

Answers

Answer:

0.04

Step-by-step explanation:

the answer is 1/27 there you go??

The scale of a map says that 4 cm represents 5 km. What is the actual number of kilometers that is represented by 5 centimeters on the map?

Answers

Answer:

6.25 km

Step-by-step explanation:

Let the number of km represented by 5 cm be x

Hence,

4 : 5 : : 5 : x

4x=25

x=6.25 km


I NEED HELP ASAP!!!!! :0 Graph the solution set for the inequality
y > 2x-5 by following these steps:

Step 1: Identify the slope and y-intercept.
slope = y-intercept =
-2 2
2 -5
5 5

Answers

Answer:

2 -5

Step-by-step explanation:

The slope and y-intercept are 2 and -5 after comparing them with the standard equation.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is y > 2x-5

The above inequality represents the linear graph

After drawing on the graph:

On comparing:

y = mx + c

The slope m = 2

The y-intercept c = -5

Thus, the slope and y-intercept are 2 and -5 after comparing them with the standard equation.

Learn more about the inequality here:

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