What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter-
sect?

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other.  We then set them equal to each other:

x^2 - 2x + 1  =  x^2 + 2x - 7

We now do algebra to isolate x.  Subtract 1 from both sides.

x^2 - 2x  =  x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x  =  x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2


Related Questions

Simplify the expression below.
3(3x + 5) – 7x – 8

Answers

Answer:

2x+7

Step-by-step explanation:

help pls❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗​

Answers

The last one 2x>12 all you gotta do is multiply 2x6 and it gives u 12 that’s how I got 2x>12

HELP PLLSS
92;69
work included!

Answers

Answer:

92/69 cannot be simplified

Step-by-step explanation:

what is 8029 times 89810

Answers

Answer:

721084490

Step-by-step explanation:

Figure EFGH is a trapezoid.

Trapezoid E F G H is shown. Sides E F and H G are parallel. Angle H is a right angle. Angle E is (9 x) degrees, angle F is (14 x) degrees, and angle G is (4 x) degrees.

What is the measure of angle F?

100o
130o
140o
150o

Answers

Answer:

B.

Step-by-step explanation: B.

Answer:

B.

Step-by-step explanation:

I need some help with geometry?​

Answers

39=9x+7-3x+20

Subtract 27 from each side

12=6x
2=x

Now plug in 2 for x to find AB and BC

9x+7= AB
9(2)+7=AB
18+7= AB
25= AB

-3x+20= BC
-3(2)+20= BC
-6+20= BC
14= BC

-3x+6<27?

Solving Linear Inequalities.

Answers

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

Which of the graphs below represents the solution set for d - 4 > -3?

Answers

Answer: C

Step-by-step explanation:

If x3 = 216, what is the value of x?
a. 6
b. 4
c. 9
d. 3

Answers

the answer is six

I'm sure

A prism has a height of 5 inches and a volume of 80 cubic inches.

Select all figures that could be the base for this prism.

O a square with side length 4 inches

O a 2 inch by 8 inch rectangle

O a circle with radius 2 inches

O a right triangle with legs 4 inches long

O a heart-shaped base with an area of 16 square inches

Answers

Answer:   a square with side length 4 inches

a 2 inch by 8 inch rectangle

a heart-shaped base with an area of 16 square inches

Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.

For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

(2.257)² ≈ 5.093

5.093 × 3.1416 ≈ 16

16 × 5 = 80

The base for this prism should be like

a square with side length 4 inches.

a 2 inch by 8 inch rectangle.

a heart-shaped base with an area of 16 square inches.

Could be the base for the prism:

Since

The given height is 5.

Any base with an area of 16 square inches should be considered as an acceptable base.

Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

So, it be like

(2.257)² ≈ 5.093

Now

5.093 ( 3.1416) ≈ 16

16 ( 5) = 80

Learn more about prism here; https://brainly.com/question/24606047

Can someone help me??? It's for extra credit

Answers

Answer:

-7 , -1

Step-by-step explanation:

if the equation of line p is

4x+7y=20 then the equation of line q must be

-7 x +4y=15 because perpendicular lines have

slopes with a product of -1

CAN SOMEONE PLS HELP WITHT HSI ASAP

Answers

Answer:

[tex]x = \frac{ \sqrt{6} }{2} [/tex]

[tex]y = \frac{3 \sqrt{2} }{2} [/tex]

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

theta = 30°

hypotenuse = √6

opposite = x

adjacent = y

1) find x using the sin formula

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]

[tex] \sin(30) \times \sqrt{6} = x[/tex]

[tex] \frac{ \sqrt{6} }{2} = x[/tex]

[tex]x = \frac{ \sqrt{6} }{2} [/tex]

2) find y using the cos formula

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]

[tex] \cos(30) \times \sqrt{6} = y[/tex]

[tex] \frac{3 \sqrt{2} }{2} = y[/tex]

[tex]y = \frac{3 \sqrt{2} }{2} [/tex]

Carla can fill five glasses with every soda 20 seconds complete the table using equivalent ratios​

Answers

Answer:

5:20

12:48

11:44

Step-by-step explanation:

I just multiplied them by 4

use the area of a triangle to write a formula for the area of a regular polygon and solve of the formula for height

Answers

Answer:

4

Step-by-step explanation:

Factor the GCF: 9x^4 - 6x^3y^2 + 3x^2y^3.
A. 3x^2y(3x^2 - 2xy + y^2)
B. 3xy(3x^2 - 2xy + y^2)
C. 3xy^2(3x^2 - 2xy + y^2)
D. 3x^2y(3x^2 + 2xy + y^2
PLEASE HELP ME

Answers

Answer:

3x2y(3x2−2xy+y2) So C

Step-by-step explanation:

Arthur travels for 3 hours on the freeway. His average speed is 55 mi/hr. How far does he travel?

Answers

Answer:

He travels 165 miles

Step-by-step explanation:

3 × 55=165
165 miles is the answer

Is "The radio's sound died down" a metaphor, personification, onomatopoeia, or oxymoron answer quick

Answers

Answer:

I think personification

Step-by-step explanation:

The function f is defined by the following rule f(x) = 5x -5 Complete the function table. -5 -1 I 2 3 4​

Answers

Answer:

x     f(x)

-5   -30

-1    -10

2    5

3    10

4    15

Step-by-step explanation:

Let us solve the question

∵ The function f is defined by the rule f(x) = 5x - 5

x = -5

→ Substitute x in f by -5 to find the value of f(-5)

∴ f(-5) = 5(-5) - 5 = -25 - 5 = -30

f(-5) = -30

x = -1

→ Substitute x in f by -1 to find the value of f(-1)

∴ f(-1) = 5(-1) - 5 = -5 - 5 = -10

f(-1) = -10

∵ x = 2

→ Substitute x in f by 2 to find the value of f(2)

∴ f(2) = 5(2) - 5 = 10 - 5 = 5

f(2) = 5

x = 3

→ Substitute x in f by 3 to find the value of f(3)

∴ f(3) = 5(3) - 5 = 15 - 5 = 10

f(3) = 10

x = 4

→ Substitute x in f by 4 to find the value of f(4)

∴ f(4) = 5(4) - 5 = 20 - 5 = 15

f(4) = 15

Find the value of x in the figure below.

Answers

Answer:

x=45

Step-by-step explanation:

You should follow the formula:

3x+3x+x+x=360

8x=360

x=45

Solve the equation: explain in detail please! I will mark brainliest.

X/5 + 6 = 10

44

30

20

-20

Answers

Answer:

x = 20

Step-by-step explanation:

The way to solve these problems is by isolating x (getting it by itself on one side).

So let's look at the operations needed!  First of all, there's currently a +6 hanging out next to x.  We don't want that, so we subtract 6 from both sides.

x/5 + 6 = 10

       -6    -6

      x/5 = 4

We now see that x is being divided by five.  To get just x, we can now multiply both sides by five to get rid of that fraction.

       x/5 = 4

        *5    *5

           x = 20

The third answer option, x=20.

The sum of two integers is 5. Their difference is 11. What are
the two integers?
HURRY

Answers

Answer:

ggggvx

Step-by-step explanation:

cddfvdcvv

(10, 7); 5х - бу = 18

Answers

Answer: See explanation

Step-by-step explanation:

x = 10

y = 7

5x - 6y = 18

5 (10) - 6 (7) = 18

50 - 42 = 18

8 ≠ 18

The coordinates can't be (10, 7)

I barely understood the question but I hope I helped!

Directions: Answeł the following qu
What is the value of this expression?
2 + 4 x 4 - 12
242

Answers

Answer:

242

Step-by-step explanation:

a)2+4×4-12

=2+16-12

=18-12

=6

Answer:

16

Step-by-step explanation:

You would need to use PEMDAS (parentheses, exponents, multiplication, division, Addition, Subtraction). 4x4=16 (2+16-12) 16+2=18 (18-12) =16. Hope this helps.

Which of the following is equivalent to
the expression (i + 5)(3 + 4i)?

Answers

Answer: 11+23i

Step-by-step explanation:

(i+5)(3+4i)

First foil

3i+4i^2 +15+20i

Then combine like terms

23i+15+4i^2

i^2 = -1 so,

23i+15+4(-1)

11+23i

Which of the following sunds does not result in an answer of -5?
1. (-7) + (+2)
2. (-11) + (+6)
3. (-9) - (-4)
4. (-8) - (+3)

Answers

Answer:

4. (-8) - (+3)

Step-by-step explanation:

This answer does not result in an answer of -5

This subtracts -3 from -8, which gives you the answer of -11.

So, this answer is correct because it is the one that doesn't result in -5.

Answer:

Problem #4

Step-by-step explanation:

Some things to remember when doing problems like are

Double negative = positive

Double positive = positive

Negative & positive = negative

1. (-7) + (+2)          2. (-11) + (+6)        3. (-9) - (-4)        4. (-8) - (+3)

    -7 + 2                   -11 + 6                  -9 + 4                -8 - 3

       -5                          -5                         -5                     -11

The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?

Answers

Answer:

6.4294 years

Step-by-step explanation:

45.1 million in 2009 -- 2.3% each year

In what year will the population exceed 52.2 million?

We use exponential growth formula

ξ(t) = y = ab^t

a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2

52.2/45.1 = (1.023)^t

We take log both side

Log(1.15742794) = tlog(1.023)

0.0634939619 = t0.00987563371

t = 0.0634939619/0.00987563371

t = 6.429355701569454

t = 6.4294 years

Which congruence theorems can be used to prove AABR = AACR? Select three options.

A. HL
B. AS
C. SSS
D. ASA
E. AAS

Answers

Answer:

HL, SAS, ans SSS

Step-by-step explanation:

ASA and AAS cannot be used because we can only confirm one angle of each triangle.

Congruent shapes have equal corresponding sides and angles.

The congruence theorems that can be used to prove [tex]\triangle ABR \cong \triangle ACR[/tex] are HL, SAS, and SSS

[tex]\triangle ABR \cong \triangle ACR[/tex] means that, the triangles are congruent.

From the attached figure, we have the following congruent sides and angle:

AB and AC --- SideBR and CR --- SideAR and AR --- Side (Hypotenuse Leg)Angle C and Angle B --- angle

The above highlights mean that the following theorems can be used to prove that the triangles are congruent:

HL, SAS, and SSS

Read more about congruent triangles at:

https://brainly.com/question/11329400

Simplify this expression. Show your work. (7x - 5) - (3x - 2)​

Answers

Answer:

4x-3

Step-by-step explanation:

(7x-5) - (3x-2)

aka

(7x-5)  -1 (3x-2)

first distribute the -1 into (3x-2)

-3x+2

so

(7x-5)+ -3x+2

next combine like terms

7x-3x=4x

so

4x-5+2

then

-5+2=-3

so

4x-3 would be your simplified equation

Select the FALSE statement

A) Dilations either increase or decrease the lengths of line segments.

B) Dilations increase angle measures.

C) A dilated triangle is similar to the original triangle.

D) Dilations are a type of transformation

Answers

9514 1404 393

Answer:

  B)  Dilations increase angle measures.

Step-by-step explanation:

Dilations have no effect on angle measures, but they uniformly change the size and spacing of line segments. They are a non-rigid transformation that leaves geometric figures similar to the original.

The false statement is B.



Given f(x) = 2x^2 – 9x + 2, g( x)= 1-6x, and
h(x) = x2 - 4, find (f o h) (2)

Answers

Answer:

The value of (f о h) (2) is 2

Step-by-step explanation:

Let us solve the question

In the composite function (f о h) (x) we substitute x in f(x) by h(x)

f(x) = 2x² - 9x + 2

h(x) = x² - 4

∵ We need to find (f о h) (2)

→ That means use x = 2

x = 2

We will find at first h(2), then substitute x in f by the answer of h(2)

∵ x = 2

∵ h(2) = (2)² - 4

∴ h(2) = 4 - 4

h(2) = 0

Now substitute x in f by 0

∵ x = 0

∵ f(0) = 2(0)² - 9(0) + 2

∴ f(0) = 0 - 0 + 2

f(0) = 2

(f о h) (2) = 2

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