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Ierofanga [76]
3 years ago
9

Suppose that h(x) varies directly with x and h(x) = 44 when x = 2.

Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0

Value of h(1.5) is 33

Step-by-step explanation:

  • Step 1: Find the relation between h(x) and x. Given h(x) = 44 when x = 2. Then h(x) = 22 × x = 22x
  • Step 2: Find h(x) when x = 1.5

⇒ h(1.5) = 22 × 1.5 = 33

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An online shopping club has 4,800 members when it charges $9 per month for membership. For each $1 monthly
Marina CMI [18]

Answer:

The function to represent the revenue received  by the club is

Step-by-step explanation:

Given:

Total members in the Online shopping Club = 13,500

Membership Charge per month =  $8

Increase in the Membership  charge per month = $1

For each $1 monthly increase in membership fee, the club loses approximately  = 500 members

To Find :

The function to represent the revenue received  by the club when x is the price increase

Solution:

For Each month $1 increased is every month which leads to decrease in the members by 500

For 1 month , one dollar  the decrease  is  

for 2 month , 2 dollar increase will lead to decrease of  = 1000  members

So for x months

The decrease in the members  = = 500x

Also the increase in the membership fee will be 8 + x

Now

MARK BRAINLIEST! THANKS HOPE THIS HELPED

8 0
3 years ago
Write a equation of a line perpendicular to the line below in point-slope from that passes through the point (-2,6)
STatiana [176]

Answer:

Option 1: y-6=-4(x+2)

Step-by-step explanation:

Find the slope of the perpendicular line by finding the negative reciprocal of the original slope. (Negative reciprocal = flip upside down and add a negative). So we get -4 for the perpendicular slope.

Next, we know the point (-2,6) is on the line, so we can get x=-2 and y=6.

Plug this into point-slope form: y_{1}-y_{2}=m(x_{1}=x_{2})

y_{1} - (6)=-4(x_{1}-(-2))

y-6=-4(x+2)

6 0
2 years ago
First find f′ and then find f. f′′(x)=3x^3+6x^2−x+2, f′(1)=9, f(1)=−7. <br> f′(x)= <br> f(x)=
Vadim26 [7]
I haven't learned antiderivitives yet but I can try to logic it

<span>First find f′ and then find f. f′′(x)=3x^3+6x^2−x+2, f′(1)=9, f(1)=−7.

we reverse chain rule

3x^3, we know that it was a 4th degree thing, and the coefient is 3, so
4*what=3?, answer is 3/4
3/4x^4

6x^2
we know it was x^3, and the coefient is now 6 so
3*what=6? what=2
2x^3

-1x, the power was 2 and coefient is now -1, so
2 times what=-1?, -1/2
-1/2x^2

2, that is from 2x

so
</span>
<span>3/4x^4+2x^3-1/2x^2+2x=f'(x)
test x=1
(3/4)(1)+2(1)-(1/2)(1)+2(1)=
3/4+2-2/4+2=
4 and 1/4 we need to get it to 9
4 and 1/4 +what=9
answer is 4 and 3/4
so we add that to the end since it will become 0 from derivitive

</span>
<span>f'(x)=3/4x^4+2x^3-1/2x^2+2x+4 and 3/4

now reverse drivitive again

3/4x^4
exponent is 5 and coefient is 3/4
5 times what=3/4? answer is 3/20
3/20x^5

2x^3
exponent should be 4 and coefient is 2
4 times what=2? answer is 1/2
1/2x^4

-1/2x^2
exponent should be 3 and coefient is -1/2
3 times what=-1/2? answer is -1/6
-1/6x^3

2x
exponent should be 2 and coefient is 2
2 times what=2? answer is 1
1x^2

4 and 3/4 turns to (4 and 3/4)x



</span>
<span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+(4 and 3/4)x
try evaluating it for x=1
f(1)=(3/20)+(10/20)-(10/50)+1+(19/4)
f(1)=6 and 7/30
what do we add to get -7
-13 and 7/30
</span>
<span><span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+(4 and 3/4)x-13 and 7/30

</span>


</span>ANSWER
<span>f'(x)=3/4x^4+2x^3-1/2x^2+2x+19/4
</span><span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+19/4x-187/30</span>
4 0
3 years ago
The odometer in Mr. Washington's car does not work correctly. The odometer recorded 13.2 miles for
IrinaVladis [17]

I think  the answer its 1.8 percent because if you subtract 15-13.2 comes out to be 1.8.

but l also think it could be 12 percent error.      

5 0
2 years ago
Read 2 more answers
In a certain room, there are 28 women and 21 men. What is the ratio of
marishachu [46]

Answer:

  • The men to women ratio is 3 : 4
  • The ratio between women to total number of people is 4 : 7

Step-by-step explanation:

Men to women ratio = 21 : 28 or 3 : 4

The men to women ratio is 3 : 4

Total people = 21 + 28 = 49 people

The ratio of women to total number of people is

28 : 49 or 4 : 7

The ratio between women to total number of people is 4 : 7

4 0
3 years ago
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