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s344n2d4d5 [400]
3 years ago
14

Evaluate the piecewise function below for f(1):

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

We need to find f(1)

f(1) means x=1

Now we look at the three inequalities and choose the one where x=1 satisfies

x<=-1 , -1<x<1  and x>=1

x=1 satisfies the inequality x>=1

so we use the third function to find f(1)

f(x) = 2x^2 + 3

We plug in 1 for x and find f(1)

f(1) = 2(1)^2 + 3= 2 + 3 = 5

f(1) = 5

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Use the distributive property to create an equivalent expression to 7(2j + 3 + 2j).
Scorpion4ik [409]

Answer:

28j + 21

Step-by-step explanation:

combine like terms

7(2j+ 3+ 2j)

7(4j+3)

Distribute

7(4j + 3)

=

28j + 21

6 0
2 years ago
Read 2 more answers
Describe rotation in another way 83 degrees counter-clockwise
siniylev [52]

Answer:

<h2>277 degrees clockwise.</h2>

Step-by-step explanation:

This rotation could be express with its opposite. Just remember that a complete rotation is 360 degrees, so, if it's rotating 83° counter-clockwise, it'll be the same rotation if we say 277° clockwise, because that's the difference from the total 360°.

4 0
3 years ago
The Greenpoint factory produced two-fifths of the Consolidated Brick Company’s bricks in 1991. If the Greenpoint factory produce
ohaa [14]

Answer:

3500 tons

Step-by-step explanation:

The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.

Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.

Therefore:

g = 2/5 * c = 2c/5

That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:

1400 = 2c/5

To find the amount that the Consolidated Brick Company produced, solve for c:

1400 = 2c/5

1400 * 5 = 2c

7000 = 2c

c = 7000 / 2 = 3500 tons

The Consolidated Brick Company had a total production output of 3500 tons in 1991.

4 0
2 years ago
A planter weighs 2 pounds and holds 3 pounds of soil. write two equivalent expressions for the total weight of nine planters. th
Anastasy [175]
Planters = (2*9)+(3*9) = 45 the answer is 45
5 0
2 years ago
A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery servic
sineoko [7]

Answer:

55.32% probability that a late package was delivered by express delivery service 2

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Late delivery.

Event B: Service 2 was used.

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.

100 - 35 = 65%.

So P(B) = 0.65

Service 2 has a record of 2.0% of packages being delivered late.

This means that P(A|B) = 0.02

Probability of a late delivery.

35% from service 1. Of those, 3% are late.

65% from service 2. Of those, 2% are late.

So

P(A) = 0.35*0.03 + 0.65*0.02 = 0.0235

What is the probability that a late package was delivered by express delivery service 2

P(B|A) = \frac{0.65*0.02}{0.0235} = 0.5532

55.32% probability that a late package was delivered by express delivery service 2

5 0
2 years ago
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