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-Dominant- [34]
3 years ago
13

If f(x) = -x + 5 and g(x) = 3x + 2, Find f(2)*g(2).

Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Answer:

24

Step-by-step explanation:

To find f(#) or g(#), plug the number into each x of the equation.

f(x) = -x + 5

f(2) = -(2) + 5

Simplify the parentheses by multiplying.

f(2) = -2 + 5

Add.

f(2) = 3

g(x) = 3x + 2

g(2) = 3(2) + 2

Simplify the parentheses by multiplying.

g(2) = 6 + 2

Add.

g(2) = 8

Now they are asking you to multiply

f(2) • g(2)

3 • 8

= 24

Hope this helps!

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Solve the equation
Vikki [24]

Answer:

x ≈ - 5.32, x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± \sqrt{11} ( subtract 2 from both sides )

x = - 2 ± \sqrt{11}

Thus

x = - 2 - \sqrt{11} ≈ - 5.32 ( to 2 dec. places )

x = - 2 + \sqrt{11} ≈ 1.32 ( to 2 dec. places )

4 0
3 years ago
How Many solutions are there for the<br> following system.<br> y = x² - 5x + 3<br> Y = x - 6
emmasim [6.3K]
Only one solution, x=3
7 0
3 years ago
A study was done that looked at how much red meat people consumed and how long they lived. The correlation r was found to be 0.9
AVprozaik [17]

Answer:

False

Step-by-step explanation:

Since the correlation r was found to be 0.98 (a value closer to 1).  

Let X =how much red meat people consumed

let Y = how long they lived.

where the x-values are the values of the deviations of co-ordinates X from Xₙ, their mean value and the y-values are the values of the deviations of co-ordinates Y from Yₙ, their mean value.

That is, x=(X−Xₙ) and y=(Y−Yₙ).

The results of this determination give values of r lying between +1 and −1, where;

+1 indicates perfect direct  correlation,

−1 indicates perfect inverse correlation and

0 indicates that no correlation exists.

Between these values, the smaller the value of r, the less is the amount of correlation which exists.

Generally, values of r in the ranges 0.7 to 1 and −0.7 to −1 show that a fair amount of correlation exists.

therefore, it can be seen that there is a perfect relationship between the quantity eaten and how long the person live

But, the correlation does not consider those that does not consume meat, and it is very hard to determined the answer to the question.

the answer is false because there are other reasons that determined longevity of life apart from meat consumption.

3 0
3 years ago
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. H
lutik1710 [3]

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

8 0
3 years ago
What fraction is equivalent to eight tentHs
aleksklad [387]
8/10 is equivalent to 4/5. just divide both 8 and 10 by 2
3 0
2 years ago
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