The equation y=2(x-1)^2-5y=2(x−1)
2
−5y, equals, 2, left parenthesis, x, minus, 1, right parenthesis, squared, minus, 5 is graphed in the xyxyx, y-plane. Which of the following statements about the graph is true?

Answers

Answer 1

Answer:

(b) It is symmetrical about [tex]x = 1[/tex]

Step-by-step explanation:

Given

[tex]y = 2(x - 1)^2 - 5[/tex]

See attachment for options

Required

True statement about the graph

First, we check the line of symmetric

[tex]y = 2(x - 1)^2 - 5[/tex]

Expand

[tex]y = 2(x^2 - 2x + 1) - 5[/tex]

Open bracket

[tex]y = 2x^2 - 4x + 2 - 5[/tex]

[tex]y = 2x^2 - 4x -3[/tex]

A quadratic equation [tex]y = ax^2 + bx + c[/tex] has the following line of symmetry

[tex]x = -\frac{b}{2a}[/tex]

By comparison, the equation becomes:

[tex]x = -\frac{-4}{2*2}[/tex]

[tex]x = \frac{4}{4}[/tex]

[tex]x = 1[/tex]

Hence, the line of symmetry is at: [tex]x = 1[/tex]

(b) is true.

The Equation Y=2(x-1)^2-5y=2(x1) 2 5y, Equals, 2, Left Parenthesis, X, Minus, 1, Right Parenthesis, Squared,
Answer 2

Answer: It is symmetrical about x=1

Step-by-step explanation:


Related Questions

Help me with this anyone

Answers

Answer:

1/4

Step-by-step explanation:

b+-sqrt b^2-4ac all over 2a

what is soil erosion​

Answers

Answer:

Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.

It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.

In a biconditional statement, the output is true if at least one input is true.

-true
-false

Answers

In a biconditonal statement the output is true if at least one input is true….this is false.

7TH GRADE MATH. PLS HELP

Answers

Answer:

192 squared centimeters

Step-by-step explanation:

area equal to 1/2 * base * perpendicular height

1/2*24*16

=192 squared centimeters

Answer: 192 cm squared

Step-by-step explanation:

Area of a triangle: 1/2bh

1/2x basex height

Base= 24 cm

Height: 16 cm

24x16=384

1/2x384= 192

192 cm squared

Hope this helps:) and brainliest would be appreciated thanks!

The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?
A.
4x – 2y = –6
B.
y = 2x – 5
C.
y = 3x + 4
D.
2x + y = –1

Answers

Answer:

i think the answer is y = 3x + 4

Step-by-step explanation:

:)

Help is needed here…

Answers

Answer: 2(−5x^2 +9)(5x^2 +9)

Step-by-step explanation:

Given: 162-50x^4

Factor out 2:  2(81-25x^4)

Rewrite:  2(9^2-(5x^2)^2)

Use difference of squares:  2(9-5x^2)(9+5x^2)

Reorder (if you need to) 2(-5x^2+9)(5x^2+9)

Answer:

6(27 - 8x^4)

Step-by-step explanation:

162 - 50x^4 /2

2(81 - 24x^4) /3

6(27 - 8x^4)

please help me rn i need it! same question on the 2 pictures!

Answers

Answer:

C. Gregory's graph is incorrect because it shows 2 inches of growth for each week, when it should show 0.75 inches of growth each week

Step-by-step explanation:

Given that the plant grows 1.5 inches (y) every 2 weeks (x), it means that:

Rate of change = y/x = 1.5/2 = 0.75 inches per week

The graph he should create should have a rate of change of 0.75. that is, it should show 0.75 inches growth for every week.

The graph shown above has a rate of change of 2 inches per week.

Thus, the graph is incorrect. It should be showing 0.75 inches of growth per week instead of 2 inches.

GEOMETRY QUESTION- Find m < h

Answers

9514 1404 393

Answer:

  m∠H = 38°

Step-by-step explanation:

External angle GFD is the sum of internal angles G and H.

  14x +1 = 89° +(5x -7)

  9x = 81°

  x = 9°

Then the measure of angle H is ...

  angle H = 5(9°) -7° = 38°

Fiona went jewelry shopping and bought a bracelet for $1 367, a pair of earrings for $800, and a necklace for $4 500. What was the total amount of money she spent?

Answers

Answer: $1367 + $800 + $4500 = $6667

6667$ Im pretty sure that’s the answer

The denominator of a fraction is 5 more than the numerator. if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4. find the original fraction.

Answers

Answer:

12/17

Step-by-step explanation:

Let

Numerator of the fraction = x

Denominator of the fraction = x + 5

The fraction is

x / (x + 5)

if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4.

x + 3 / (x + 5) + 3 = 3/4

x + 3 / x + 8 = 3/4

Cross multiply

(x + 3)4 = (x + 8)3

4x + 12 = 3x + 24

4x - 3x = 24 - 12

x = 12

Recall,

x / (x + 5)

= 12 / (12 + 5)

= 12/17

The original equation = 12/17

Find the midpoint of AC.

Answers

Answer:

(0+a)/2 , (0+a)/2

= (a/2, a/2)

Answered by GAUTHMATH

A shopkeeper bought Rice cooker for Rs. 5000 and sold it to a customer for Rs. 5,085 with 13% VAT.
Find his profit or loss percent.

Answers

Answer:

number to get a better price

Answer:

if I'm not wrong,then this is the equation

Step-by-step explanation:

CP=5000

SP=5085

VAT=13℅

now,

VAT amount=VAT℅ OF SP

=13℅ OF 5085

=13/100*5085

=rs.661.05

again,

profit℅= SP-CP/CP*100℅

=85/500*100

=17℅ answer

Consider the first month's sales data for the Midwest region.
Select the correct answer from each drop-down menu.

1. 85
2. 15
3. 37
4. 18

1. Significantly different from
2. Relatively close to

1. inconsistent
2. consistent

Answers

Answer:

The correct options are:

1. Significantly different from

1. Inconsistent

Explanation:

Sales Data for Midwest:

Midwest region total stores Sales equal to 63.1%. The percentage for current store is less than total stores therefore data in the given table is not consistent. The data given is relatively for the first month sales and is significantly different from the other stores.

Answer:

In the picture

Step-by-step explanation:

From Plato / Edm

Simplify this equation: 10f + 3 = 23 + 6f

Answers

Answer:

Step-by-step explanation:

10f + 3 = 23 + 6f

4f + 3 = 23

4f = 20

f = 5

Answer:

f = 5

Step-by-step explanation:

10f + 3 = 23 + 6f

Move the variable to the left-hand side and change its sign

10f + 3 - 6f = 23

Move the constant to the right-hand side and change its sign

10f - 6f = 23 - 3

Collect like terms and Subtract the numbers

4f = 23 - 3

4f = 20

Then divide both sides of the equation by 4

f = 5

find the length of AB

Answers

Answer:

AB=44.98298

Step-by-step explanation:

Since this is  a right triangle, we can use trig functions

cos theta = adj / hyp

cos 12 = 44/AB

AB cos 12 = 44

AB = 44/ cos 12

AB=44.98298

If m


Please Help!!!!!!!!!!!!

Answers

Answer:

45 degrees

Step-by-step explanation:

the 2 angles are supplementary (add up to 180 degrees)

180-135=45

solve for w: 7w < -56

Answers

Lets solve

[tex]\\ \sf\longmapsto 7w<-56[/tex]

Take 7 to right side

[tex]\\ \sf\longmapsto w<dfrac{-56}{7}[/tex]

Simplify

[tex]\\ \sf\longmapsto w<-8[/tex]

Answer:

[tex]\boxed {\boxed {\sf w < -8}}[/tex]

Step-by-step explanation:

We are given an inequality and asked to solve for the variable w.

[tex]7w < -56[/tex]

In order to solve for w, we must isolate the variable. It is being multiplied by 7. The inverse of multiplication is division, so we divide both sides of the inequality by 7.

[tex]\frac {7w}{7} < \frac {-56}{7}[/tex]

[tex]w < \frac{-56}{7}[/tex]

[tex]w < -8[/tex]

w is less than -8 or w < -8.

Which number sentence is not true?
A. |-20| < 20
B. |9| = 9
C. |-20| > |9|
D. |9| < |20|

Answers

|x| basically means the count of how far from zero. It will always be a positive number.

So the answer is A. |-20| <  20

because 20 is not greater than 20

solve for missing side

Answers

Answer:

50.99

Step-by-step explanation:

Answer:

x = −38

Step-by-step explanation:

You have an angle: 50 and the opposite side: 10 and you need the hypotenuse.

For this problem, you need to use Sin

Sin (50) = 10/x

Multiply both sides by x

X (Sin(50)) = 10

Then divide by (Sin(50))

x = 10/ Sin(50)

x = −38

help pls my mom will yell at me lol :) thanks

Answers

Answer:

The y intercept of f(x) is 8 and the equation of the horizontal asymptote is y = 0

Answered by GAUTHMATH

Please help with this on the picture

Answers

Answer:

a) 81

b) 16,807

c) 100

d) 78125

Step-by-step explanation:

a)

3^2 x 3^2

Step 1. Simplify the exponents

3^2 = 3 x 3 = 9

Step 2. Multiply

9 x 9 = 81
••••••••••••••••••••••••••••••••

b)

7 x 7^4

Step 1. Simplify the exponent

7^4 = 7 x 7 x 7 x 7 = 2401

Step 2. Multiply

7 x 2401 = 16,807
••••••••••••••••••••••••••••••••

c)

10^9 divided by 10^7

Step 1. Simplify the exponents

10^9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000

10^7 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

Step 2. Divide

1000000000 divided by 10000000 = 100
••••••••••••••••••••••••••••••••

d)

5^8 divided by 5

Step 1. Simplify the exponent

5^8 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390625

Step 2. Divide

390625 divided by 5 = 78125



Solve the equation by completing the square.

Answers

Solve the equation by completing the square.

x + 4 < 16 what the heck is the dang answer

Answers

Answer:

x < 12

Step-by-step explanation:

x +4 <16

x < 16 - 4

x < 12

Please Mark me brainliest

(x/a)+(x/b)=c; where a≠0, b≠0, a≠-b, solve for x

Answers

Answer:

I hope it is correct.. :)

Rachel has 37 videos and decides to purchase 2 more each week. Write an equation describing this situation.

Answers

Answer:

T = 2w + 37

Step-by-step explanation:

Let T represent the total amount of videos Rachel has after w weeks

Rachel already owns 37 videos

She purchases 2 more each week

Therefore, after w weeks, the total amount of videos Rachel has can be represented by the expression:

2w + 37

Then the total after w weeks can be modeled by the equation:

T = 2w + 37

Factor 16p4 - 24p3. find the factor

Answers

Answer:

8p^3 ( 2p -3)

Step-by-step explanation:

16p^4 - 24p^3

8*2* p^3 *p - 3*8*p^3

Factor out the common terms

8p^3 ( 2p -3)


Please zoom in on the question
I will mark brainliast

Answers

B graph of function

the question is in the picture

Answers

Answer:

∠CBA

Step-by-step explanation:

Answer:

<CBA

Step-by-step explanation:

The vertex has to be in the middle

<CBA

<ABC

or we can name it with just the vertex

<B

for every 8 dollar oliver earns, he saves 4.2 dollar. how much will he save if he earns 180?

Answers

Answer:

94.5

Step-by-step explanation:

Every 8 dollars means he saves 4.2 dollars

180 ÷ 8 = 22.5

22.5 × 4.2 = 94.5

Answer: 94,5

180:8 *4,2=22,5 *4,2 =94,5

Step-by-step explanation:

I need help with this

Answers

x=2*49=98
98 degrees
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