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3 years ago

Solve the equation for x. 3x + 11 – X + 23 = 4

Mathematics

1 answer:

avanturin [10]3 years ago

5 0

Answer:

x = -15

Step-by-step explanation:

3×+34-×=4

2×+34=4

2×+34-34=4-34

2×=4-34

2×= -30

2×/2=-30/2

×= -15

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What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Vladimir [108]

-1/3 I think that’s the answer

4 0

3 years ago

A village experienced 2% population growth, compounded continuously, each year for 10 years. At the end of the 10 years, the pop

pantera1 [17]

Answer:

The initial population at the beginning of the 10 years was 129.

Step-by-step explanation:

The population of the village may be modeled by the following function.

$P(t) = P_{0}e^{rt}$

In which P is the population after t hours, $P_{0}$ is the initial population and r is the growth rate, in decimal.

In this problem, we have that:

$P(10) = 158, r = 0.02$ .

$158 = P_{0}e^{0.02*10}$

$P_{0} = 158*e^{-0.2}$

$P_{0} = 129$

The initial population at the beginning of the 10 years was 129.

6 0

3 years ago

Read 2 more answers

Solve, be sure to show each step under the original problem for any credit.<br> 1 =k/12 +5

Naya [18.7K]

K = -48

1. subtract 5 from both sides
-4 = k/12

2. multiply 12 from both sides to get k alone
-48 = k

3 0

3 years ago

If the risk-free rate is 7 percent, the expected return on the market is 10 percent, and the expected return on Security J is 13

Lelu [443]

Answer:

0.02 or 2% = Beta

Step-by-step explanation:

Given that,

Risk-free rate = 7 percent

Expected return on the market = 10 percent

Expected return on Security J = 13 percent

Therefore, the beta of Security J is calculated as follows;

Expected return on Security J = Risk-free rate + Beta (Expected return on the market - Risk-free rate)

13 percent = 7 percent + Beta (10 percent - 7 percent)

0.13 - 0.07 = 0.03 Beta

0.06 = 0.03 Beta

0.06 ÷ 0.03 = Beta

0.02 or 2% = Beta

6 0

3 years ago

Solve the system of equations algebraically.

andrew11 [14]

Answer: d. (17, 20)

Step-by-step explanation:

We have the following system of equations:

$x-3y=8$ (1)

$5x-4y=5$ (2)

Isolating $x$ from (1):

$x=\frac{8+3y}{4}$ (3)

Substituting (3) in (2):

$5(\frac{8+3y}{4})-4y=5$ (4)

Isolating $y$ :

$\frac{40}{4}+\frac{15 y}{4}-4y=5$ (5)

$10-5=4y-\frac{15 y}{4}$ (6)

$y=20$ (7)

Substituting (7) in (1):

$x-3(20)=8$ (8)

Isolating $x$ :

$x=17$ (9)

Hence, the correct option is d. (17, 20)

8 0

3 years ago