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krek1111 [17]
3 years ago
15

What is the equation of a line with a y-intercept of 2 and an x-intercept of 4?

Mathematics
1 answer:
Ronch [10]3 years ago
5 0
The equation is y=(-1/2)x +2
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Evaluate 15r -1 when r=5
alukav5142 [94]

Answer:

74

Step-by-step explanation:

You just have to substitute r with 5.

Now, the equation looks like this:

15(5)-1

Next, solve 15*5 first according to PEMDAS

And 15*5 equals 75

\frac{\left[\begin{array}{ccc}1&5\\5\\\end{array}\right] }{75}

Lastly, do 75-1 which equals 74

\frac{\left[\begin{array}{ccc}7&5\\-1\\\end{array}\right] }{74}

Therefore, 74 is your answer.

3 0
2 years ago
Find the y-coordinate of the y-intercept of the polynomial function defined below. f(x)=2(3x+4)(x^2+2)
Salsk061 [2.6K]

Answer:

Step-by-step explanation:

The best way to find out the answer to your question is to graph the cubic. As you can see, the y intercept is (0,16).

How was this obtained. notice that if x = 0 then

f(0) = 2(3*0+4)(0^2 + 2)

f(0) = 2(4)(2)

f(0) = 16 just as the graph tells us.

3 0
3 years ago
What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean
Elena-2011 [213]

Answer:

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

Step-by-step explanation:

The following information is missing:

The standard deviation of population is 100.

We are given the following information in the question:

Population mean, μ = 502

Standard Deviation, σ = 100

Sample size, n  = 90

Standard error =

\dfrac{\sigma}{\sqrt{n}} = \dfrac{100}{\sqrt{90}} =  10.54

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(test score within 10 points)

P(492 \leq x \leq 512) \\\\= P(\displaystyle\frac{492 - 502}{10.54} \leq z \leq \displaystyle\frac{512-502}{10.54}) \\\\= P(-0.9487 \leq z \leq 0.9487)\\= P(z \leq 0.9487) - P(z < -0.9487)\\= 0.829 -0.171 = 0.658 = 65.8\%

P(492 \leq x \leq 512) = 65.8\%

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

7 0
3 years ago
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $22 monthly fee
vladimir2022 [97]
Company a = 22 + 0.07m
company b = 8 + 0.12m

We are looking for the time when the prices are equal. i.e. the price of company a = the price of company b

company a = company b
22 + 0.07m = 8 + 0.12m
22 - 8 = 0.12m - 0.07m
14 = 0.05m
m = 14/0.05
m = 280

Therefore, the two companies will cost the same if you talk for 280 minutes
5 0
3 years ago
Which is greater? 2.17 or 2.2
goldfiish [28.3K]

Answer:

2.2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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