y=x^2+x-6 what is the x intercepts and how do you get the x intercepts

Answers

Answer 1

Answer:

x = - 3, x = 2

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

x² + x - 6 = 0 ← in standard form

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2 , since

3 × - 2 = 6 and 3 - 2 = + 1 , then

x+ 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2


Related Questions

Lydia was doing her homework. She did math for 3/5 of an hour. She did science for 2/3 of an hour, half an hour for art sketches, and 1/10 of an hour for French. and How much time did she spend on her homework? How much time would she have spent if she took 10 minutes break between each subject? Show your work.

Answers

Answer:

82 minutes

102 minutes with breaks

Step-by-step explanation:

So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.

Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French

Solve the following quadratic function
by utilizing the square root method.
y = 25x2 - 100
X = +[?]

Answers

Answer

25(x2−4)

Rewrite 4

as 22.25(x2−22)

PLEASE PLEASE PLEASE HELP
Find the area of the following figures:

Answers

Answer:

The area of the following figure is 400 [tex]m^2[/tex].

Step-by-step explanation:

On the left side of the figure, you'll see that there is a half-circle with a  diameter of 20 meters. On the right side of the figure, there is a gap for a half-circle with a diameter of 20 meters. To make the calculation process easier, you can imagine that you take the half-circle from the left side and fit it onto the gap on the right in order to form a 20 meters by 20 meters square. Now you can just multiply the side lengths together to find the area, which will be 20 * 20 = 400 [tex]m^2[/tex].

complete the square for the equation 3x2 - 5x = 2

Answers

3

2

5

=

2

3x^{2}-5x=2

3x2−5x=2

Factor

1

Move terms to the left side

3

2

5

=

2

3x^{2}-5x=2

3x2−5x=2

3

2

5

2

=

0

3x^{2}-5x-2=0

3x2−5x−2=0

2

Use the sum-product pattern

3

2

5

2

=

0

3x^{2}{\color{#c92786}{-5x}}-2=0

3x2−5x−2=0

3

2

+

6

2

=

0

3x^{2}+{\color{#c92786}{x}}{\color{#c92786}{-6x}}-2=0

3x2+x−6x−2=0

3

Common factor from the two pairs

(

3

2

+

)

+

(

6

2

)

=

0

(3x^{2}+x)+(-6x-2)=0

(3x2+x)+(−6x−2)=0

(

3

+

1

)

2

(

3

+

1

)

=

0

Answer:

4/5

Step-by-step explanation:

See image below:)

Points S, U, and T are the midpoints of the sides of TrianglePQR. Triangle S U T is inside of triangle P Q R. Points S, U, and T are the midpoints of triangle P Q R. Which statements are correct? Check all that apply.

Answers

Answer:

1/2 QP = UT

SU ║ RP

Step-by-step explanation:

If UT is parallel to QP, then it is half the length of QP. ΔTUR ~ ΔPQR with a scale factor of 1/2.

It T is the midpoint of PR, then SU is parallel to RP and half its length. Again, ΔQSU ~ ΔQPR with a scale factor of 1/2.

_____

There is no diagram accompanying this problem statement. If the above assumptions are incorrect, then the conclusions are incorrect.

Answer:

A and D

Step-by-step explanation:

it just is

In one weekend, 1,200 people attend a play at the theater downtown. A survey of 100 people who attended found that 45 gave the play at least 4 stars out of 5. Use the indicated method to estimate how many people in all would give the play at least 4 stars.

Answers

Answer:

540

Step-by-step explanation:

fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45

Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540

what is the fraction of 52 out of 208.

HURRY

Answers

Answer:

uhm 1/4???

Step-by-step explanation:

What is the value of x in the figure?
NEED HELP ASAP

Answers

Answer:

150 degrees

Step-by-step explanation:

Answer:

E.150°

hope it helps.....

-90-60w

what are all the equivalent expressions?

Answers

Answer:

−30(3+2w)

Step-by-step explanation:

Problem to solve:

-90-60w

−90−60w

1 Factor the polynomial -90-60w−90−60w by it's GCF: -30−30

-30\left(3+2w\right)

−30(3+2w)

PLS HELP! WILL GIVE BRAINLIST!

Which of the following is a monomial

A. 3x + 4y
B. 25x^2y^3
C. 6x^2 + 5x + 6
D. 9x + 7

Answers

Answer: B

A monomial is when numbers, variables are multiplied together. The other choices are added to others one. B is the only logical answer
Monomial B: 25x^2y^3

A trapezoid has a base of 12 inches and 50
inches. The height of the trapezoid is 21
inches. What is the area of the trapezoid?

Answers

Answer:

Step-by-step explanation:

Givens

b1 = 12

b2 = 50

h = 21

Area = ?

Equation

Area = (b1 + b2) * h / 2

Solution

Area = (12 + 50) * 21 / 2

Area = 62 * 21 / 2

Area = 31 * 21

Area = 651

35% of the employees in a company receive an incentive in the
month of April. What is the probability that among 4 employees
chosen at random, all 4 do not receive the incentive in April?

Answers

Answer:

17.85%

Step-by-step explanation:

I need m<1 and m<2 so if u know pls help

Answers

Answer is 54 36

Step by step exploration

DA || CB => m<1= 54
Diagonals bisect each other perpendicularly => m<2=90-54=36

Please help!! >w< It will be really appreciated :D

Peter makes $4500 a month plus some money by commission rates. He gets 6% of everything he sells. If Peter sold $55000 worth of items this month, what did he make TOTAL for the month?

Answers

Answer:

13,666.7

Step-by-step explanation:

you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.

(Polynomials)Expand: (m/2+2n)^3​

Answers

Answer: m^3/8+3m^2n/2+6mn^2+8n^3 Hope that helps!

Step-by-step explanation:

1. Use cube of sum : (a+b)^3=a^3+3a^2b+3ab^2+b^3

(m/2+2n) ((m/2)^2+2×m/2×2n+(2n)^2)

2. Use division distributive property: (x/y)^a= x^a/y^a

(m/2+2n)(m^2/2^2+2×m/2×2n+(2n)^2)

3. Simplify 2^2=4

(m/2+2n)(m^2/4+2×m/2×2n+(2n)^2)

4. Use multiplication distributive property (xy)^a= x^a y^a

(m/2+2n)(m^2/4+2×m/2×2n+2^2n^2)

5. Simplify 2^2=4

(m/2+2n)(m^2/4+2×m/2×2n+4n^2)

6. Cancel 2

(m/2+2n)(m^2/4+m×2n+4n^2)

7. Regroup terms

(m/2+2n)(m^2/4+2mn+4n^2)

8. Expand by distributing sum groups

m/2(m^2/4+2mn+4n^2)+2n(m^2/4+2mn+4n^2)

9. Expand by distributing terms

m^3/8+m^2n+2mn^2+2n(m^2/4+2mn+4n^2)

10. Expand by distributing terms

m^3/8+m^2n+2mn^2+nm^2/2+4n^2m+8n^3

11. Collect like terms

m^3/8+(m^2n+m^2n/2)+(2mn^2+4mn^2)+8n^3

12. Simplify.

And your answer would be m^3/8+3m^2n/2+6mn^2+8n^3

Can you make me Brainliest please

Help me please asap (not bots)

Answers

The answer is either 15 or 16
Hope it helps

Answer:

The answer is 13.6

a^2+b^2=c^2

so 13^2+4^=c^2

169+16=c^2

square root of 185 is 13.6

so the answer is 13.6 or 14 if you round

What would the other monomial be?

Answers

It should be D I’m not quite sure but that’s what I am getting

Rochelle is painting her loft teal. There are three walls
that need to be painted. The first wall has dimensions 8
feet by 16 feet. The second wall has dimensions 8 feet
by 21 feet, and the third wall is 8 feet by 11 feet. She
wants to paint two coats. If a gallon of paint covers 350
square feet, how many gallons will she need?

Answers

(8*16)+(8*21)+(8*11)= 384ft^2
Then you divide by the gallon of paint

384/350 and get approx. 1.1 gallons of paint

Mia has
7/8 pound of bird food. She puts an equal portion into 4 bird feeders. How much bird food, in pounds, does she put into each bird feeder?

Answers

Answer:

7/32 pounds  each  = 0.21875

Step-by-step explanation:

7/8 divided into 4 is the same as

7/8 multiplied by 1/4  = 7/32

IN SPANISH
How do you find the area with 3.14 I’m so confused
PLEASE HELP!!!

Answers

Answer:

lets use what we know.

given lengths are: 6, 3, 6, and 15.

We need to split the right triangle from the small little rectangle.

Now we add the lengths of the triangle to get the full length:

6 + 6 = 12

now we need to find the base:

15 - 3 = 12

Now we get our area of the triangle:

12 x 12 = 144

144 divided by 2 = 72

Now the small rectangle's area:

6 x 3 = 18

Add both of their areas to get:

72 + 18 = 90 ft2

Answer: Tu respuesta es 90² o la parte inferior.

Step-by-step explanation: Divida la forma en un rectángulo y tringle, luego recomiendo https://www.omnicalculator.com/math/area para los cálculos

Please help help help help help please ASAP

Answers

Answer

~~~~~~~~~~~~

slope: 1

y intercept: 4

equation: y=x+4

HELP ME WITH THIS PLEASE

Answers

Answer:

B. 63

Step-by-step explanation:

line M is 180 degrees just subtract 180 by 117 to find the angle

What was his
percentage profit​

Answers

you need to include more information or a picture

Solve:
3x + x -5 = 2(x -2)

Answers

Answer:

it's says that it is ×=1

Step-by-step explanation:

3×-5=2(x-2)

3x-5=2x-4

3x-5+5=2x-4+5

3x=2x+1

3x=2x + 1

3x-2x=2x+1-2x

Answer x=1

An entire commercial break is 3.6 minutes, if each commercial break takes half of 0.6 minutes, how many commercials will play during this break?

Answers

12 I’m pretty sure ....

brainlyess

What is the area of the square?

Answer options with 4 options

A.8 square meters
B.16 square
C.32 square meters
D.64 square meters

Answers

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

Area of the square = side²

Area

[tex] = {8}^{2} \\ = 64 \: m {}^{2} [/tex]

✏ The area of the square is D. 64 square metres.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text.

Answers

The question is incomplete. The complete question is :

Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle ......

Solution :

A triangle is defined as a close figure with three sides. It is polygon having three angles. If one of the angle is a right angle, then that triangle is known as a right angled triangle.

By Pythagoras theorem, the line opposite to the right angle is called as hypotenuse and it is the longest side in a right angled triangle.

Let a and b be the other sides and let c be the hypotenuse.

So by Pythagoras theorem, we get that [tex]$c^2=a^2+b^2 $[/tex]

From the question, a = 3 cm

                               b = 4 cm

                                c = 5 cm

Therefore,

[tex]$5^2=3^2+4^2$[/tex]

25 = 9 + 16

25 = 25

Thus the triangle is a right angled triangle.

38. Evaluate the expression below for
x = 4
6(x + 7)
A 24 B 31 C 42 D 66

Answers

Answer:

D. 66

Hope this helps!!

math help quickly and pls no links lol

Answers

i think the anwser is c

what is the value of the expresion when x=8, 4x-6+x+3

Answers

Answer:

37

Step-by-step explanation:

substitute the value of the variable into the equation and simplify .

Answer:

37

Step-by-step explanation:

Given

4x - 6 + x + 3 ← collect like terms

= 5x - 3 ← substitute x = 8

= 5(8) - 3

= 40 - 3

= 37

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