one x-intercept for a parabola is at the point (1,0). use the factor method to find the other x-intercept for the parabola defined by y=2x^2+2x-4

Answers

Answer 1

Answer:

(- 2, 0 )

Step-by-step explanation:

Given

y = 2x² + 2x - 4

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

2x² + 2x - 4 = 0 ( divide through by 2 )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

x- intercepts are x = - 2, x = 1, that is

(1, 0 ) and (- 2, 0 )

The other x- intercept is (- 2, 0 )


Related Questions

I’ll mark you brainliest! What is the answer???

Answers

Answer:

A

Step-by-step explanation:

[tex]f(x)=9(3)^x \\\\\\f(-3)=9(3)^{-3}= \\\\\\9\left(\dfrac{1}{3^3} \right)= \\\\\\9\left(\dfrac{1}{27} \right)= \\\\\\\dfrac{9}{27}= \\\\\\\dfrac{1}{3}[/tex]

Hope this helps!

if a car cover a distance of 189km in 4.5 hours, what is it average speed?​

Answers

Answer: 42 kmh

Step-by-step explanation:

Speed = distance / time

= 189 / 4.5

= 42 kmh

Answer:

Average Speed = 42 km/hr

Step-by-step explanation:

Given:

Distance = 189 km

Time = 4.5 hours

Required:

Average Speed = ?

Formula :

Average Speed = Total Distance Covered/ Total Time Taken

Solution:

Putting the givens

Average Speed = 189/4.5

Average Speed = 42 km/hr

Please answer correctly !!!!!!!! Will
Mark brainliest !!!!!!!!!!!

Answers

Answer:   Z²+ 9Z + 8

Step-by-step explanation:

You take the two z's and times them to get Z² then you do the Z times 1 to get  1Z then you do the Z times 8  to get 8Z then you take the 8 times 1 and get 8 so then you add the like terms. You add 1Z and 8Z and you get 9Z.  The you put it in standard form to get Z²+9Z+8

There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability of randomly selecting a strawberry-flavored candy from the box is 1/3, find the total number of candies in the box.

Answers

Answer:

The answer is: 12 total candies

Step-by-step explanation

c = caramel-flavored

s = strawberry-flavored

so if there are 1/3 strawberry-flavored so that means there are 2/3 caramel-flavored. we know there are 8 caramel-flavored so if 8 is 2/3 of all the candies that means 4 is how many strawberry-flavored we have 12 total candies.

El resultado de la siguiente adición (- 6 x ᶺ 4 – 4 x ᶺ 3 + 7 x ᶺ 2 – 2 x) + (- 6 x ᶺ 3 + 4 x ᶺ 2 – 8 x + 10) es (Procedimiento)

Answers

- 6 x⁴ - 4 x³ + 7 x² - 2 x

+ .. . . - 6 x³ + 4 x² - 8 x + 10

------------------------------------------------------

-6 x⁴ -10 x³ + 11 x² -10 x + 10

What are the solutions of the system 7x + 3y = -3 and y = -2x? (-1, 0) and (0, -1) (-8, 3) and (3, -8) (-1, 0) and (-8, 3) (0, -1) and (3, -8)

Answers

The solution of the system of equation can be solved by using substitution method. Therefore, the solutions of the system 7x + 3y = -3 and y = -2x is (-3, 6)

How to find solution to the system of equation

7x + 3y = - 3

y = - 2x

Substitute the value of y in equation(i)

Therefore,

7x + 3(- 2x) = -3

7x  - 6x  = -3

x = -3

Let's find y by substituting the value of x in equation(ii)

y = -2x

y = -2(-3)

y = 6

Therefore, the solution set of the equation is (-3, 6)

learn more on system of equation; https://brainly.com/question/1632711

Grady marks down some $2.49 pens to $1.99 for a week and then marks them back up to $2.49. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percent of change the same for both price changes? If not, which is a greater change?

Please, need answer in 5 minutes

Answers

The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.

Answer:

2.49-1.99= 0.5

0.5 divided by2.49 times 100 is about 20% decrease

1.99-2.49+0.5 also so it is also a 25 percent increase

Step-by-step explanation:

What’s this problem

Answers

Answer:

use FOIL- Firsts Outsides Insides Lasts

Multiply the -4 and -3 as they are the first numbers of each brackets -4x-3=12Next the outsides so -4x6i as they are on the outskirts of each brackets -4x6i= -24iInsides so 3i and -3 as they are in the centre of the two brackets 3ix-3= -9i Lasts so 3i and 6i as they are at the end of each bracket 3ix6i=18i^2 ( i squared)add the answers together - 12+-24i+-9i+18i^2= 12-24i-9i+18i^2Simplify by adding like terms which is -24i and -9i. 12+-33i+18i^2 is the answer

What is the Q1 and Q3?
4,6,8,9,13,21,31

Answers

Answers: Q1 = 6Q3 = 21

The data is already sorted for us. If it wasn't, then you would have to write the values from smallest to largest.

The median is the middle most value 9 (in slot 4)

The median separates the data into two halves, which I'll call the lower and upper half

lower half  = {4,6,8}

upper half = {13,21,31}

The median of the lower half is 6, and this is the value of Q1.

The median of the upper half is 21. This is the value of Q3

If AB = 3x + 5, BC = 2x + 8, and AC = 88, what is the value of x?

Answers

Answer:

x = 15

Step-by-step explanation:

AB + BC = AB

3x+5  + 2x+8 = 88

Combine like terms

5x +13 = 88

Subtract 13 from each side

5x+13-13 = 88-13

5x = 75

Divide each side by 5

5x/5 = 75/5

x = 15

Answer:

15

Step-by-step explanation:

AB + BC = AB

3x + 5 + 2x + 8 = 88

5x + 13 = 88

5x = 88 - 13

= 75/5

= 15

Hope this helps!

What is the measure of angle BCD? WILL GIVE BRAINLIEST!

Answers

Answer:

m∠BCD = 120°

Step-by-step explanation:

Since the interior angles of a quadrilateral add up to 360°, then we get:

2x+x+2x+x=360°

6x=360°

Divide both sides by 6

x=60°

Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.

PLEASE HURRY!!! What is the value of p in the equation?


One-fourth (8 minus 4 p) + 2 p = 12 Here are the answer choices...
–20
–2
5
10

Answers

-2!!! Isolate the variable !

Answer:

10

Step-by-step explanation:

took the test on edge

Can someone please help me

Answers

Answer:

SSS

Step-by-step explanation:

3 sides are similar, so the triangles are similar.

This month the local power company charges $9.12 per kilowatt-hour for electricity. Write an equation that represents the total amount a customer will pay for their usage.

Answers

Answer:

9.12 x time x kilowatt

Step-by-step explanation:

Can someone please help me with this question?

Answers

Answer:

Row related frequencies

                 twins in family history        Twins not in           Total

                                                             family history

 Twins born   8 / 34  = 0.2353                26 / 34= 0.7647     1                                                          

single child born :125 / 966 = 0.1294    841 / 966 = 0.8706   1                  

Step-by-step explanation:

Given table         twins in                  twins not in

                           family history             family history      total

Twins born                      8                          26                    34

single child born            125                       841                    966

 Total                              133                      867                   1000

Row related frequencies

Given table       twins in family history     Twins not in     Total      

                                                                        family history  

Twins born     8 / 34  = 0.2353      26 / 34= 0.7647                  1                                              

single child born 125 / 966 = 0.1294    841 / 966 = 0.8706      1                

Total                            0.3647                                1.6353                  

Help idk how to do this

Answers

Answer:

y = 62°

Step-by-step explanation:

z represents the mid segment of the triangle.

Since, midsegment is parallel to the third side of the triangle.

[tex] \therefore \: y = 62 \degree...(correspnding \: \angle s) \\ [/tex]

Find the midpoint of the line segment with end coordinates of: ( − 2 , − 5 ) and ( 3 , − 2).
Give coordinates as decimals where appropriate.

Answers

Answer:

Midpoint of the line segment = ( 0.5 ,-3.5) =

Step-by-step explanation:

Given the co-ordinates of two points are

(-2 , -5) and ( 3, -2)

Let    (x₁ , y₁) = ( -2 , -5)

        (x₂ , y₂) = ( 3 , -2 )

Midpoint of the line segment

                          =       [tex](\frac{x_{1} +y_{1} }{2}, \frac{x_{2}+ y_{2} }{2} )[/tex]

Midpoint of the line segment

                          =       [tex](\frac{-2 +3 }{2}, \frac{-5- 2 }{2} )[/tex]

Midpoint of the line segment = ( 0.5 ,-3.5)

-21 +3 = -9r in the form of -2(x-p)2+q=​

Answers

Answer:

1.28 Step-by-step explanation: got

Suppose f(x) = x^2 and g(x) = (1/4)^2. Which statement best compares the graph of g(x) with the graph of f(x)

Answers

Answer:

g(x) is the image of f(x) after stretched horizontally by scale factor = 4

Step-by-step explanation:

The statement that best compares the graph of  g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:

Given the function

f(x) = x²  and g(x) = (1/4x)² the image of f(x) after one transformation.  

The transformation shows that g(x) stretches away from y-axis.  

Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).

Then we use the scale factor to divide g(x)

1 ÷ ¼ = 1 x 4/1 = 4  

So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4

Which of the following points does not lie in the solution set to the inequality y = 1/3x + 5?
A) (6,3)
C) (-3,8)
D) (12,3)
B is wrong

Answers

Answer:

The answer is A: (3,6)

If p q is true, then q p is ____ false

Answers

Answer:

True

Step-by-step explanation:

Logic: if 3+4 =7 then 4+3 also = 7 or 3*4 =12 then 4*3 is also 12 etc.

A set of data includes 107 data points ranging from 0 – 300. If the data is split into classes with a range of 50 (1 – 50, 51 – 100, etc), and there are no values that fall in the class 201 – 350, what can you say about the data? a.All the data lies below 200. b.The median could be in the range 201 - 350. c.The relative frequency of the class 201 - 350 is 0. d.The mean of the data will not be between 201 - 350.

Answers

Answer:

D

Step-by-step explanation:

The mean is the average summing all values together and dividing by the number of values been investigated.

Hence since no values exist between 201-350 that means the mean can not be there.

Answer:

The relative frequency of the class 201 - 350 is 0.

Step-by-step explanation:

melissa is driving along a highway at a constant soeed of 65 mph. how long does it take her to travel 90 miles?

Answers

Answer:

1.4 hours or 83 minutes

Step-by-step explanation:

90 mi / 65 mph = 1.4 hr

Melissa will take 1.4 hour to travel 90miles at a speed of 65 mph.

What is the speed?

Speed is the rate of distance covered in a particular time.

It is equal to distance/time

How to calculate time?

We know that speed=distance/time

so the time will be =90/65

which will be equal to1.44 hour

Hence Melisa will take only 1.4 hour to travel 90 miles at a speed of 65 mph.

Learn more about speed at https://brainly.com/question/4931057

#SPJ2

Can someone help me with math please?

Answers

Answer:

Multiply 60 by 2.5 centimetres

60×2.5=150

oPr
on (x - 2)(x + 5) = 0?

Answers

________________________________

Hey!!

Solution,

(x-2)(X+5)=0

Either,

x-2=0

X=0+2

X=2

or,

X+5=0

X=0-5

X=-5

Hope it helps

Good luck on your assignment

____________________________

What is the length of the side opposite ZB?
3 units
4 units
5 units
6 units

Answers

Answer: 4 units

Step-by-step explanation:

The side that is opposite of B would be the side that is across from B

3 is across from A

5 is across from C

4 is across from B

The question is an illustration of right triangles

The length of the side opposite angle B is 4 units

From the figure, we can see that the triangle is a right triangle, with the following angles

Angle B

Angle A

Angle C

The triangle is right-angled at angle C.

From the figure, the length opposite angle B is length AC.

Where

AC = 4

Hence, the length of the side opposite angle B is 4 units

Read more about isosceles right triangle at:

https://brainly.com/question/20447308

Evaluate the expression below when x = 9 and y = 12.
4(x + 6) - 3(y + 4)

Answers

36 + 54 - 36 + 48 = 102

A set of numbers is said to be COMMUTATIVE under the operation '+' if m + n = n + m, for any two numbers m and n of that set. Similarly, a set of numbers is said to be COMMUTATIVE under the operation '×' if m × n = n × m.

Which of the following sets is COMMUTATIVE under the operation '-'?

A)the set of integers
B)the set of natural numbers
C)the set of rational numbers
D)none of the above

Answers

Answer:

A) the set of integers is commutative under operation '-'

The commutative property holds for Addition and Multiplication, but not for subtraction and division.

So, option (D) is correct.

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

The commutative property holds for Addition and Multiplication,

Example,   [tex]2+4=4+2[/tex]

                  [tex]3*2=2*3[/tex]

The commutative property does not  holds for subtraction and division.

Example,       [tex]3-2\neq 2-3[/tex]

                    [tex]4/2\neq 2/4[/tex]

Learn more:

https://brainly.com/question/11322954

A convex polyhedron is made of 12 congruent faces like the one shown below. What is the name of the solid? A) dodecahedron ANSWER: A B) icosahedron C) pentagonal pyramid D) pentagonal prism

Answers

Answer: dodecahedron

Step-by-step explanation:

Answer:

Option A

Explanation:

Decahedron

How do I solve this problem???

Answers

Answer:

[tex]25.1cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *2^2*2=25.13274\\=25.1cm^3[/tex]

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