All categories

3 years ago

A pair of equations is shown below:

Mathematics

2 answers:

Tema [17]3 years ago

3 0

Eay peasy

solve graphically
graph them and find the poitn that they intersect at

y=mx+b
m=slope
b= y intercept

y=7x-9
slope=7
yintercept=-9

y=3x-1
slope=3
yinercept=-1

I have attached graph below

easier way would be to simply sub them and solve
7x-9=y=3x-1
7x-9=3x-1
4x-9=-1
4x=8
x=2

y=3x-1
y=3*2-1
y=6-1
y=5
(2,5) is solution

fgiga [73]3 years ago

3 0

Answer:

A) We need to put them on a graph to see where the points intersect.

So in y = MX = b, The m is slope and b is the y-intercept. So in y = 7x − 9 seven is the slope and 9 is the y-intercept. And in y = 3x − 1 Three is the slope and 1 is the y-intercept.

B) 2,5 is were these lines intersect.

You might be interested in

Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the fiv

Dahasolnce [82]

Answer and Explanation:

Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.

To find :

a. Does the table show a probability distribution?

b. Find the mean and standard deviation of the random variable x.

Solution :

a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.

$\sum P(X)=0.029+0.147+0.324+0.324+0.147+0.029$

$\sum P(X)=1$

Yes it is a probability distribution.

b) First we create the table as per requirements,

x P(x) xP(x) x² x²P(x)

0 0.029 0 0 0

1 0.147 0.147 1 0.147

2 0.324 0.648 4 1.296

3 0.324 0.972 9 2.916

4 0.147 0.588 16 2.352

5 0.029 0.145 25 0.725

∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436

The mean of the random variable is

$\mu=\sum xP(x)=2.5$

The standard deviation of the random sample is

$Variance=\sigma^2$

$\sigma^2=\sum x^2P(x)-\mu^2$

$\sigma^2=7.436-(2.5)^2$

$\sigma^2=7.436-6.25$

$\sigma^2=1.186$

$\sigma=\sqrt{1.186}$

$\sigma=1.08$

Therefore, The mean is 2.5 and the standard deviation is 1.08.

5 0

3 years ago

Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which dete

zysi [14]

Answer:

Number of hours= 48 hours

Step-by-step explanation:

Giving the following information:

Hourly rate= $7.25

Total earned= $348

<u>To calculate the number of hours worked, we need to use the following formula:</u>

Total earned= hourly rate*number of hours

number of hours= total earned / hourly rate

number of hours= 348 / 7.25

number of hours= 48 hours

6 0

3 years ago

Fifty-five and one-half percent of the shareholders in a fast food chain are under the age of 40 if the corporation is owned by

sp2606 [1]

Answer:

38,270

Step-by-step explanation:

1. find the % of investors over age 40: 100-55.5% = 44.5%

2. multipliy the total number of investors by the % over age 40:

86,000 X 44.5% = 38,270

5 0

4 years ago

Select the correct answer. A sample of a certain type of bacteria is enclosed in a glass container on March 1st. The sample of b

zavuch27 [327]

Answer:

The bottom surface of the glass container will be covered a quarter of the way on March 8th.

Step-by-step explanation:

The bacteria covering the bottom surface of the glass container doubles every day. If the surface is completely covered on March 10th, then one day earlier, on March 9th, half of the surface is covered.

Similarly, if half of the surface is covered on March 9th, then one day earlier, on March 8th, a quarter of the surface is covered.

Therefore, the bottom surface of the glass container will be covered a quarter of the way on March 8th.

7 0

3 years ago

Please use the following image in order to answer the question correctly:

elena-14-01-66 [18.8K]

Answer :

Measure of RS = 116

x=24

Explanation:

Since the RS and TU are congruent, the arc degrees are too because they are in the same circle.

Work is shown in attachment:

5 0

3 years ago