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3 years ago

Does the graph below represent a function? A. Yes

Mathematics

1 answer:

AURORKA [14]3 years ago

8 0

Yeah C should be the correct answer

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An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The el

CaHeK987 [17]

Let's take this problem step-by-step:

Let's first set up some variables:

c: # of children
a: # of adults

Let's examine the information given:

Elevator can hold a maximum of 1500 pounds

⇒ average child is 75 pounds

⇒ average adult is 150 pounds

⇒ therefore: $75c + 150a\leq 1500$

Elevator can fit no more than 14 people

⇒ therefore: $c + a \leq 14$

Let's graph the equations:

$75c+150a\leq 1500\\c+a\leq 14$

⇒ look at the image attached

The point at which the two graphs intersect:

⇒ is the solution that represents the amount of children and adults and

their combine weight

With the horizontal axis being the # of children and vertical axis being the # of adults:

⇒ the solution is 8 children and 6 adults

Answer: 8 children and 6 adults

Hope that helped!

7 0

1 year ago

GM EVERYONE IT'S ALMOST FRIDAYYYYY!!

tester [92]

Answer

Good morning, I loveeeee FRIDAYSSSSS!!!!

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

The maximum walking speed (in feet per second) of a large animal can be modeled by the equation S = sqrt(gL) where S = speed in

Lubov Fominskaja [6]

1. The domain of a sqrt(x) is x > 0. So, L > 0.
2. The range of a S(x) = sqrt(x) is S(x) > 0 for all valid x > 0.

4 0

3 years ago

What is the measure of E?

IceJOKER [234]

You can get E real quick
how? you know that D is 90 and f is given 66 and you know that D+E+F=180 so E=180-(90+66) which gives us 24

6 0

3 years ago

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

3 years ago