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skad [1K]
2 years ago
6

Write 3x + y < 8 in Slope Intercept form.

Mathematics
1 answer:
tekilochka [14]2 years ago
5 0

Answer:

y<-3x+8

Step-by-step explanation:

We are given 3x+y<8. There is exactly one step to put this in slope-intercept form, y=mx+b form where the equal sign can be an inequality sign. Our goal is to isolate y.

To do in 3x+y<8, we will just need to subtract 3x on both sides giving us y<-3x+8.

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Audrey Lorenz assembles gift baskets for a florist. The owner pays her $0.45 per small basket and $0.75 per large basket on Tues
Gemiola [76]

Answer:

Step-by-step explanation:

(.45)(288)= $129.60

(.75)(72)= $54

$129.60 + 54 = $184.60 is Audrey's pay

3 0
3 years ago
A linear function includes the ordered pairs (0, 1), (3, 3), and (9, n). What is the value of n?
alexgriva [62]
The answer is A I think
8 0
3 years ago
Help please 1. Describe the transformations necessary to transform the graph of
natta225 [31]

Here are all the steps, and what they do:

STEP 1: HORIZONTAL TRANSLATION

We transform

x^2\mapsto (x-1)^2

The general transformation is

f(x)\mapsto f(x+k)

These transformations translate the graph horizontally, k units to the left if k>0, k units to the right if k<0.

In this case, k = -1, so we translate the original graph 1 unit to the right.

STEP 2: VERTICAL STRETCH

We transform

(x-1)^2\mapsto 3(x-1)^2

The general transformation is

f(x)\mapsto kf(x)

These transformations stretch the graph vertically. The graph expands if |k|>1, while it shrinks if 0<|k|<1. If k is negative, we also reflect the graph with respect to the x axis.

In this case, k = 3, so we stretch the graph vertically by a factor 3.

STEP 3: VERTICAL TRANSLATION

We transform

3(x-1)^2\mapsto 3(x-1)^2+4

The general transformation is

f(x)\mapsto f(x)+k

These transformations translate the graph vertically, k units up if k>0, k units down if k<0.

In this case, k = 4, so we translate the graph 4 units up.

So, we start from the original graph of f(x)=x^2 and we:

  • Translate it 1 unit to the right
  • Stretch it vertically by a factor 3
  • Translate it 4 units up

(the order is important!)

to get the graph of g(x)=3(x-1)^2+4

4 0
2 years ago
It is given that one number is 6 more than another. If three times the sum of the two numbers is equal to 22 more than the large
Irina-Kira [14]

Answer:

First number=22

Second number=28

Step-by-step explanation:

Since you don't know either of the numbers we can call the first number x. The second number is the first number plus 6 or x+6. The sum is 22 more than the larger number so x+6+22 or x+28. Using this we can create the equation x+x+6=x+28. In order to isolate x we would subract x from both sides ending up with x+6=28. Then subract 6 from both sides to get x=22. This means the first number equals 22. Then to solve for the second number you plug 22 in for x to get the equation 22+6= the second number, so the second number is equal to 28. Look below for just the equation.

x+x+6=x+6+22

2x+6=x+28

-x -x

x+6=28

-6. -6

x=22

22+6

=28

22+28= 28+22

50=50

6 0
3 years ago
Alegbra Help3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually
Alex777 [14]
A) 500 × (1.015)^t =  f(t) <span>

b)
500 </span>× (1.015)^t = 800                       divide by 500
           (1.015)^t = 1.6                           solve for t
                       t <span>≈</span> 31.57 years
    
<span>

</span>
8 0
3 years ago
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