All categories

2 years ago

Determine the solution to f(x) = g(x) using the following system of equations: (5 points)

Mathematics

1 answer:

densk [106]2 years ago

7 0

The answer is x=4
because
f(x) = g(x)
3X-23 = -4.5x + 7
3X+4.5x = 23+7
7.5x = 30
x= 30/7.5
so X = 4

You might be interested in

Solve the compound inequality: 3x ≤ 18 AND x + 4 > 2

dedylja [7]

There must be a mistake in your question:
If 3 x ≤ 9, then : x ≤ 3 and :
x + 4 > 2
x > 2 - 4
x > - 2
Answer: D)
Solution set : - 2 < x ≤ 3

4 0

3 years ago

Read 2 more answers

A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on three numbers pays 11 to 1 (that is, if you bet $1 and one of

OLga [1]

Answer:

You are expected to lose $0.05 (or win -$0.05)

Step-by-step explanation:

Since the roulette wheel has the numbers 1 through 36, 0, and 00, there are 38 possible outcomes.

In this bet, you are allowed to pick 3 out of the 38 numbers. Thus, your chances of winning (P(W)) and losing (P(L)) are:

$P(W)=\frac{3}{38}\\P(L) = 1 - P(W)\\P(L) = \frac{35}{38}\\$

The expected value of the bet is given by the sum of the product of each outcome pay by its probability. Winning the bet means winning $11 while losing the bet means losing $1. The expected value is:

$EV = (11*\frac{3}{38}) -(1*\frac{35}{38})\\EV = -\$0.0525$

Therefore, with a $1 bet, you are expected to lose roughly $0.05

5 0

2 years ago

What is the area of this compound shape?

Paraphin [41]

Answer:

139.36

Step-by-step explanation:

first you do 8*8 because that would be the area of the square part

8*8=64

then find the area of the semicircle

first the Radis of it is 4 because 8/2=4

A=3.14R^2/2

3.14*4^2/2

3.14*16/2

50.24/2

25.12

now because there are 3 of the semicircles you do

25.12*3

75.36

then you add the 64 from the square to get your answer

75.36+64

139.36

6 0

2 years ago

A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8

stealth61 [152]

Answer:

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

Step-by-step explanation:

This arithmetic sequence has a common difference of d with first term = 4.

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

8 0

2 years ago

3 Which of these is equivalent to 4 81 64 44 12

jek_recluse [69]

The answer is 44. ! Your welcome

8 0

3 years ago