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2 years ago

How to graph y = 2|x + 3| - 4

Mathematics

1 answer:

mr_godi [17]2 years ago

8 0

The x-intercepts and the y-intercepts of the function is that determines the graph is:

x-intercepts = (-5,0) and (-1,0)
y-intercepts = (0,2)

<h3>How do we graph the function y = f(x) of an absolute equation?</h3>

The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.

From the given equation:

y = 2|x+3| - 4

To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.

By doing so, the x-intercepts and the y-intercepts of the function is:

x-intercepts = (-5,0) and (-1,0)
y-intercepts = (0,2)

Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.

Learn more about determining the graph of an absolute equation here:

brainly.com/question/2166748

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Please help

gtnhenbr [62]

A line perpendicular to y = -2x + 5 will have an equation in the form of:

y = (1/2)x + b

Since the graph must intersect (-2,9), we plug in this point to solve for b.

9 = (1/2)*(-2) + b

9 = -1 + b

10 = b

So the equation is:

y = (1/2)x + 10

The answer is A.

7 0

3 years ago

Express the first 10 terms of a sequence 2,5,8,11 in sigma notation<br>

mash [69]

Answer

The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29

Explanation:

You can notice that to get to the next term, you have to add 3.
So we add 3 every next term

4 0

2 years ago

Please ignore my work and show step by step for number 9 please and thank you

Butoxors [25]

$( x + 3)( x - 7) + (x + 8)(x + 3) = (x + 3)(x - 7 + x + 8) \\ = (x + 3)(2x + 1)$

(3) is the answer?

5 0

3 years ago

The st. joe company grows pine trees and the average annual increase in tree diameter is 3.1 inches with a standard deviation of

77julia77 [94]

Solution: We are given:

μ=3.1,σ=0.5,n=50

We have to find P(Mean <2.9)

We need to first find the z score

z= (xbar-μ)/(σ/sqrt(n))

=(2.9-3.1)/(0.5/sqrt(50))

=(-0.2)/0.0707

=-2.83

Now we have to find P(z<-2.83)

Using the standard normal table, we have:

P(z<-2.83)=0.0023

Therefore the probability of the sample mean being less the 2.9 inches is 0.0023

5 0

3 years ago

Help me please this is not easy for me 504

My name is Ann [436]

Let, S = Shirt, J = Jeans

14a)
This question asks for the discount to be added after everything else.
S= 12 J=19
3S + 2J -3 = Cost with discount applied to total
^ This expression adds to costs, then takes away the $3 discount as the end.

14b)
This questions says the discount is added on every shirt, we get a similar expression:
3(S-3) + 2(J-3) = Cost with discount applied on every shirt and jeans

14c)
The difference between a) and b) is that:
> the discount in a) is applied on the total, meaning a lower discount
> the discount for b) is applied on each shirt and jeans, meaning a greater discount

14d)
If I were the shop owner I would be more specific of what the discount included, for example we don't know whether to discount each product (shirts and jeans) or only discount the total.

6 0

3 years ago