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Helga [31]
3 years ago
14

Given f(x) = 2x² + 8x - 4 and g(x) = 5x +6, find 3f(x) – 2g(x).

Mathematics
1 answer:
myrzilka [38]3 years ago
7 0

Step-by-step explanation:

When the problem says 3f(x), it means that you are multiplying f(x) by 3. The same goes for 2g(x).

3(2x^2+8x-4)= 6x^2+24x-12

2(5x+6) = 10x+12

Now, we subtract f(x) from g(x) after being multiplied.

(6x^2+24x-12)-(10x+12)

6x^2+14x-24

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(84x - 69y) - (65x + 34y)
Svetach [21]

(84x - 69y) - (65x + 34y)

Remove the parenthesis and combine the like terms:

84x - 65x = 19x

-69y - 34y = -103y

Combine for final answer:

19x -103y

6 0
3 years ago
For brainiest:):):):):):):):)
Oksi-84 [34.3K]

Answer:

(a) 0.6

(b) 0.4

Step-by-step explanation:

If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made 9+6=15 shots.

The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,

P(making a shot)=\frac{9}{15}=\frac{3}{5}=0.6

Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.

P(making a shot)+P(missing a shot) =1

P(missing a shot)=1-P(making a shot)

P(missing a shot)=1-0.6=0.4

QED

3 0
3 years ago
At the local animal shelter, there are 35 cats and 42 dogs. What is the ratio of dogs to cats at the local animal shelter?
postnew [5]

9514 1404 393

Answer:

  6 : 5

Step-by-step explanation:

The ratio is ...

  dogs : cats = 42 : 35 = (7·6) : (7·5) = 6 : 5

The ratio of dogs to cats at the shelter is 6 to 5.

6 0
3 years ago
Find a​ point-slope form for the line with slope
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Answer:

It is Third quardant in Graph

7 0
3 years ago
Cassie can drive 165 miles in 3 hour's. if she is driving at a constant speed, how many miles per hour is she driving​
Westkost [7]

Answer:

55mph

Step-by-step explanation:

7 0
3 years ago
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