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Leona [35]
4 years ago
5

The functions below represent the amounts of water released from two reservoirs over x weeks:

Mathematics
1 answer:
solong [7]4 years ago
6 0

Answer:

  • h(x) = -2x^2 -x +3
  • Reservoir A releases the same amount of water as Reservoir B over 1 week

Step-by-step explanation:

<u>Given</u>:

  f(x) = x^2 -7x +5

  g(x) = 3x^2 -6x +2

  h(x) = f(x) -g(x)

<u>Find</u>:

  h(x)

  h(1)

<u>Solution</u>:

The expression for h(x) is found by evaluating its definition:

  h(x) = (x^2 -7x +5) -(3x^2 -6x +2)

  h(x) = x^2(1 -3) +x(-7 -(-6)) +(5 -2)

  h(x) = -2x^2 -x +3

Then h(1) is found by substituting 1 for x:

  h(1) = -2(1^2) -(1) +3 = -2 -1 +3

  h(1) = 0 . . . . difference in release amounts after 1 week is 0

The true statements are ...

  • h(x) = -2x^2 -x +3
  • Reservoir A releases the same amount of water as Reservoir B over 1 week
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Order of operation 36divided4+11x8
frosja888 [35]

The answer for 36/4 + 11 \times 8 = 97.

<u>Step-by-step explanation</u>:

The order of operation is done by using BODMAS rule.

B - bracket

O - of

D - division

M - multiplication

A - addition

S - subtraction

step 1 :

36 divided 4 + 11 \times 8

  • The division operation must be done first.
  • 36/4 = 9

step 2 :

9 + 11 \times 8

  • After division, multiplication should be done next.
  • 11 \times 8 = 88

step 3 :

9 + 88

  • Finally addition is performed to get the answer.
  • 9 + 88 = 97

∴ The answer for 36divided4+11x8 is 97.

5 0
3 years ago
Please help me its on the image please
oksano4ka [1.4K]

Answer: I don’t know if you want the area or just y but anyways, y= 9

Step-by-step explanation:


The question requires a scale factor (since both triangles have similar sides (an equal ratio is a good way to think about it) the 10cm side of the large triangle is proportionate to the same side of the smaller triangle.

In other words to get that scale factor (how much one shape is bigger than the other) we need to divide the 10 by 4 (you need to use the same side you can’t do 10/6 because they are completely different sides) 10/4 = 2.5

Now we know the larger triangle is 2.5 times bigger than the smaller triangle. This means the smaller triangle is 2.5 times smaller than the big triangle. So to find the base of the larger triangle we use a similar method we used to find the scale factor (but not divide multiply because when you want to find the bigger you multiply when you want to find scale factor/ smaller you divide) so 6* 2.5= 15 and since y is not the entire base only a part of it, we can do 15(which is the entire length of the big triangle base) - 6 = 9

Therefore y=9

6 0
2 years ago
Street H is perpendicular to the line 2x –3y = –4 and goes (0, –6). Write this street’s equation in standard form.
storchak [24]

Answer:

I think its 68 + 1 = 69

Step-by-step explanation:

6 0
3 years ago
If the mean of a normal distribution is 210, what is the median of the
AleksandrR [38]

Answer:

210

Step-by-step explanation:

In a normal distribtuion mean=mode=median

so 210=median

3 0
3 years ago
Can someone help me with this?
Elden [556K]

Good evening ,

Answer:

{(1,6),(2,2),(4,7),(3,2)}

Step-by-step explanation:

As a function , f has a unique image for each number of the domain.

for instance, the first set can’t represent a function because 1 has more than one image(number).

:)

7 0
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