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V125BC [204]
3 years ago
8

Which shows the given inequalities in slope-intercept form?

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Answer: Solve for X      

4x−5y<1

Step-by-step explanation:

step 1 add 5y to each side

4x−5y+5y<1+5y

4x<5y+1

Step 2: Divide both sides by 4.

4x4<5y+14

x<54y+14

Answer:

x<54y+14

Let's solve for x.

12y−x<3

Step 1: Add (-1)/2y to both sides.

−x+12y+−12y<3+−12y

−x<−12y+3

Step 2: Divide both sides by -1.

−x−1<−12y+3−1

x>12y−3

Answer:

x>12y−3

now just graph 4x-5y<1 shows the given inequalities in slope -intercep form.

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Darnel's retirement party cost $33, plus an additional $1 for each guest he invites. What is the maximum number of guests there
Karolina [17]

Answer: the maximum number of guests that he can invite would be 9

Step-by-step explanation:

Darnel's retirement party cost $33, plus an additional $1 for each guest he invites. Assuming Darnel wants to invite x guests to his retirement party, the total amount of money that Darnel would spend is

33 + x

if darnel can afford to spend a total of $42 on his retirement party, then

42 = 33 + x

x = 42 - 33 = 9

3 0
3 years ago
20 points: <br> happy valentines
jeka57 [31]

Answer:

A. 4(x + 8) = 56

Step-by-step explanation:

the correct equation would be 4(x + 8) = 56

because we need to find the number of hours on Saturday, since there Sheldon gets paid $4 per hour, we must subtract the amount Sheldon made on Sunday by the total he made and then divide that by 4 to get the number of hours on Saturday

$4 = number of dollars per hour

$56 = total on Saturday and Sunday

8 hours = Number of hours babysat on Sunday

x = hours spent on Saturday

4(x + 8) = 56

Step 1: Simplify both sides of the equation.

4(x + 8) = 56

(4)(x) + (4)(8) = 56(Distribute)

4x + 32 = 56

Step 2: Subtract 32 from both sides.

4x + 32 − 32 = 56 − 32

4x = 24

Step 3: Divide both sides by 4.

4x/4 = 24/4

x = 6

To check if this is correct, we add the amount Sheldon earned on Saturday to the amount he earned on Sunday, which is

6(4) + 8(4) = 56

24 + 32 = 56

56 = 56

or you could substitute the answer in the problem

4(6 + 8) = 56

Distribute

24 + 32 = 56

Simplify

56 = 56

6 0
2 years ago
Compared to an exponential function y = b where b &gt; 0, a quadratic function grows: slower faster at the same rate sometimes f
Verizon [17]

Answer:

it's slower babe

6 0
3 years ago
Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He h
zhuklara [117]

I added a screenshot of the complete question along with the given choices.

<em><u>Answers:</u></em>

w = 10 ft and l = 50 ft ................> second option

w = 20 ft and l = 60 ft ...............> third option

w = 50 ft and l = 40 ft ...............> fifth option

<em><u>Explanation:</u></em>

<u>We are given that:</u>

length should be at least 20 ...........> length ≥ 20

equation for perimeter is : 2l + 2w ≤ 200

<u>We will check each option as follows:</u>

<u>Option 1:</u>

w = 50 ft and l = 10 ft

This option is incorrect as the proposed length is less than 20.

<u>Option 2:</u>

w = 10 ft and l = 50 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(10) = 100 + 20 = 120 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 3:</u>

w = 20 ft and l = 60 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(60) + 2(20) = 120 + 40 = 160 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 4:</u>

w = 90 ft and l = 30 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(30) + 2(90) = 60 + 180 = 240 > 200

The second condition is not satisfied.

This option is incorrect

<u>Option 5:</u>

w = 50 ft and l = 40 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(40) = 100 + 80 = 180 ≤ 200

The second condition is also satisfied.

This option is correct

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Using elimination, what is the solution to the following system?<br> 2x+4y=16<br> -2x-3y=-13
VikaD [51]

Answer:

x=2, y=3. (2, 3).

Step-by-step explanation:

2x+4y=16

-2x-3y=-13

-----------------

y=3

2x+4(3)=16

2x+12=16

2x=16-12

2x=4

x=4/2

x=2

8 0
2 years ago
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