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bagirrra123 [75]
4 years ago
11

Consider the function f(x)=−2/3x+5 .

Mathematics
1 answer:
Arturiano [62]4 years ago
6 0

Answer:

\frac{14}{3}

Step-by-step explanation:

To evaluate substitute x = \frac{1}{2} into f(x)

f(\frac{1}{2}) = - \frac{2}{3} × \frac{1}{2} + 5

                                  = - \frac{1}{3} + \frac{15}{3} = \frac{14}{3}


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Write a compound inequality that represents the following scenario:
Inessa05 [86]

The compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
  2. 8 ≤ f ≤ 12

A compound inequality usually puts together two or more simple inequalities statements together.

Following the assumption from the given information that;

  • a free single scoop cone = f

<h3>1.</h3>

The age group of individuals designated to receive the free single scoop cones is:

  • people who are older than 65 i.e. > 65
  • children that are 4 or under 4 i.e. ≤ 4

Thus, the compound inequality that is appropriate to express both conditions is:

  • 65 < f ≤ 4

<h3>2.</h3>
  • On Tuesdays, the least amount of flavors = 8
  • The addition amount of extra flavors they can add = 4

Now, we can infer that the total amount of flavors = 8 + 4 = 12

Thus,  the compound inequality that is appropriate to express both conditions is:

  • Least amount of flavors ≤ f ≤ total amount of flavors  
  • 8 ≤ f ≤ 12

Therefore, we can conclude that the compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
  2. 8 ≤ f ≤ 12

Learn more about compound inequality here:

brainly.com/question/24540195?referrer=searchResults

6 0
2 years ago
Can you help me solve for y ?? Please show your work !! Thank you.
Nadusha1986 [10]

Answer:

y = -3x - 4

Step-by-step explanation:

x - y - 2 = 4x + 2

x - y - 2 + y = 4x + 2 + y

x - 2 = 4x + 2 + y

x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2

-3x - 4 = y

so y = -3x - 4

4 0
3 years ago
Read 2 more answers
What is the value of x?<br><br><br> Pls hurry!!!
eduard

Answer:

C. 120

Step-by-step explanation:

Hope it helps!

4 0
3 years ago
4. What is the measure of angle ABD in the figure below?*<br> D<br> 2x<br> A<br> B<br> с
katovenus [111]

Answer:

Measure of exterior angle ABD = 136°

Step-by-step explanation:

Given:

measure of ∠A = (2x + 2)°

measure of ∠C = (x + 4)°

measure of ∠B = x°

Find:

Measure of exterior angle ABD

Computation:

Using angles sum property

∠A + ∠B + ∠C = 180°

So,

(2x + 2) + (x + 4) + x = 180

4x + 6 = 180

4x = 176

x = 44

So,

measure of ∠B = x°

measure of ∠B = 44°

Measure of exterior angle ABD = 180 - measure of ∠B

Measure of exterior angle ABD = 180 - 44

Measure of exterior angle ABD = 136°

4 0
3 years ago
John can ride his skate board 100 feet in 4.6 seconds. how fast is this in miles per hour?
diamong [38]
About .24 mile per hour
60 \div 4.6 = 13.04 \\ 13.04 \times 100 = 1304.34
1 mile is 5280 foot
4 0
3 years ago
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