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Murljashka [212]
3 years ago
5

Suppose f(x) = x^2– 7. and g(x) = 5 – x^2 ,then g(f(-4)) =

Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer:

- 76

Step-by-step explanation:

To evaluate g(f(- 4)) , evaluate f(- 4) then substitute this value into g(x)

f(- 4) = (- 4)² - 7 = 16 - 7 = 9, then

g(9) = 5 - 9² = 5 - 81 = - 76

iogann1982 [59]3 years ago
7 0

Answer:

-76

Step-by-step explanation:

f(x) = x^2– 7. and g(x) = 5 – x^2 ,then g(f(-4)) =

-76

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Sally buys a hang bag. There was a discaount of 35percent . If Sally paid $56.80 what was the original price?
Ksju [112]
Discount = 35%
Percentage after discount = 100% - 35% = 65%

65% = $56.80
1% = $0.8738
100% = $87.38

Answer: The original price is $87.38
4 0
3 years ago
Read 2 more answers
Determine weather randomly picking a blue card from a bag containing all blue cards is impossible, unlikely, as likely as not, l
Anuta_ua [19.1K]

Answer:

The correct answer is certain with probability equal to 1.

Step-by-step explanation:

Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.

We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.

Here the experiment is picking a blue card from a bag containing all blue cards.

Possible outcomes are all the cards colored blue in the bag.

Total outcomes are also all the blue cards in the bag.

∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.

5 0
3 years ago
Find the value of using identities 996^2
Svetlanka [38]

Answer:

992,016

Step-by-step explanation:

{996}^{2}  \\  =  {(1000 - 4)}^{2}  \\  =  {1000}^{2}  - 2 \times 1000 \times 4 +  {4}^{2}  \\  = 1000000 - 8000 + 16 \\  = 1000016 - 8000 \\  = 992,016 \\

5 0
3 years ago
Use the rule to write the first five terms of the pattern.
AlekseyPX

Answer:

A =First term of the pattern = 11

To find the first five terms we have to use the rule which is

Add 10 to first term and then subtract 5 from it.Which is equivalent to

= A +10 -5

1. Second Term = 11 + 10 -5

  = 21 - 5

   =16

→Third term = 16 +10-5

        = 26 - 5

       = 21

→Fourth term : 21 + 10 - 5

     = 31 -5

      = 26

→Fifth term : 26 +10 -5

                = 36- 5

                = 31

→Sixth term:

=31 + 10- 5

= 41 -5

 = 36

So, the first five term apart from 11 is 16, 21,26,31,36 which is an Airthmetic progression.



4 0
3 years ago
Read 2 more answers
Write the equation of the line that goes through the point (-2, 8) with a slope of 1/2
hram777 [196]

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y  = 1/2x + 9

4 0
3 years ago
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