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2 years ago

The graphs below have the same shape. What is the equation of the red graph?

Mathematics

2 answers:

MrMuchimi2 years ago

7 0

Answer: The correct option is

(C) $g(x)=x^2+2.$

Step-by-step explanation: Given that both the graphs shown have the same shape.

We are to find the equation of the red graph.

From the picture, we note that the equation of the blue graph is

$f(x)=x^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Also, the red graph is 2 units above the blue graph.

So, f(x) will be replaced by g(x) - 2 o find the equation for the red graph.

Therefore, we get from equation (i) that

$g(x)-2=x^2\\\\\Rightarrow g(x)=x^2+2.$

Thus, the required equation of the red graph is $g(x)=x^2+2.$

Option (C) is CORRECT.

Alex787 [66]2 years ago

4 0

Answer:

Step-by-step explanation:

since the axis of symmetry is 0, and the y intercept is 2, the answer should be c

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A farmer is estimating the surface area of his barn to find how much paint he needs to buy. One part of the barn is triangular a

Nady [450]

We know the triangle is an isosceles triangle. So, we use the Pythagorean Theorem.

a^2+b^2=c^2

The c would be 22, because it's the longest edge. Now find a or b. They are the same, that is how you find the two sides of the triangle for part A.

To find the area of the triangle, the forumla is a=hb/2

Plug in the numbers for that formula and the answer would be found for part B.

I hope I helped.

7 0

2 years ago

A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how

crimeas [40]

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

5 0

2 years ago

A social media platform states that a social media post from a marketing agency has 7 hashtags, on average. A digital marketing

dimaraw [331]

Answer:

a. The average number of hashtags used in a social media post from a marketing agency is different than 7 hashtags.

Step-by-step explanation:

A social media platform states that a social media post from a marketing agency has 7 hashtags, on average.

This means that at the null hypothesis, we test if the mean is 7, that is:

$H_0: \mu = 7$

A digital marketing specialist studying social media advertising believes the average number of hashtags used in a post from a marketing agency is different than the number stated by the social media platform.

Keyword is different, so at the null hypothesis, we test if the mean is different of 7, that is:

$H_1: \mu \neq 7$