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cupoosta [38]
3 years ago
13

The equation y=2(x-1)^2-5y=2(x−1)

Mathematics
1 answer:
marin [14]3 years ago
8 0

Answer:

(b) It is symmetrical about x = 1

Step-by-step explanation:

Given

y = 2(x - 1)^2 - 5

See attachment for options

Required

True statement about the graph

First, we check the line of symmetric

y = 2(x - 1)^2 - 5

Expand

y = 2(x^2 - 2x + 1) - 5

Open bracket

y = 2x^2 - 4x + 2 - 5

y = 2x^2 - 4x -3

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

x = -\frac{b}{2a}

By comparison, the equation becomes:

x = -\frac{-4}{2*2}

x = \frac{4}{4}

x = 1

Hence, the line of symmetry is at: x = 1

(b) is true.

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Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had
dmitriy555 [2]

Answer:

Option B

Step-by-step explanation:

The number that had never been married will vary in each sample due to the random selection of adults.

This number will vary in each sample to the random selection process but they might or might not be as close as possible to one another after sampling.

7 0
3 years ago
2. (10.03)
faust18 [17]

This question is incomplete because it was not written properly

Complete Question

A teacher gave his class two quizzes. 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first one passed the second quiz? (2 points)

a) 20%

b) 40%

c) 60%

d) 75%

Answer:

d) 75%

Step-by-step explanation:

We would be solving this question using conditional probability.

Let us represent the percentage of those who passed the first quiz as A = 80%

and

Those who passed the first quiz as B = unknown

Those who passed the first and second quiz as A and B = 60%

The formula for conditional probability is given as

P(B|A) = P(A and B) / P(A)

Where,

P(B|A) = the percent of those who passed the first one passed the second

Hence,

P(B|A) = 60/80

= 0.75

In percent form, 0.75 × 100 = 75%

Therefore, from the calculations above, 75% of those who passed the first quiz to also passed the second quiz.

3 0
2 years ago
Jessica has a circular birdbath in her backyard with a radius of 1.25 feet. She wants to place a decorated border around the cir
Alexxandr [17]

Answer:

The total cost is <em>28.26.</em>

Step-by-step explanation:

The radius of the birdbath is <em>1.25 feet.</em>

The cost per foot is <em>3.6</em> .

<em>The formula for perimeter of circle is given by,</em>

<em>= 2πR , where R is the radius of circle.</em>

Inserting the above value of radius in the equation above,

circumference = 2(π)(1.25) = 2(3.14)(1.25) = 7.85 ft^{2}

Thus the total cost is,

= (7.85)(3.6) = 28.26

4 0
2 years ago
I need help on this ASAP so please help
In-s [12.5K]

Answer:

it’s 8 and 2 and 4 and 0

Step-by-step explanation:

this is because when you multiply 2x the x is an 8 so 2 times 8 is 16 then minus 2 is 14 which is greater than -4 same for my other answer

7 0
2 years ago
RT and UW are parallel lines. Which angles are vertical angles? HELP ASAAPPP
MrRa [10]

Answer:

It is <uvx and <WVS..........

8 0
3 years ago
Read 2 more answers
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