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2 years ago

Solve the system of linear equations by substitution

2 answers:

7 0

There is the equal values method, so you can do:

x-4 = 4x-10 (remove x from both sides)
-4 = 3x -10 (add ten to both sides)
6 = 3x (devide by 3x)
2 = x

Check: (by plugging it into the equation)
y = 2-4 and y = 8-10
y = -2 and y = -2
that's matches so it is correct...
YOUR ANSWER IS:
(2, -2)

I hoped I helped sort things out, and have a great day!

Anit [1.1K]2 years ago

5 0

Y = x-4
y = 4x-10

Compare both the equations,
4x-10 = x-4
4x-x = 10-4
3x = 6
x = 6/3
x = 2

Now, substitute it in 1st equation,
y = 2-4 = -2

In short, Your Answer would be (2, -2)

Hope this helps!

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A soccersoccer playerplayer who makesmakes 2020% of herher free kicksfree kicks is asked to kickkick free kicksfree kicks until

BlackZzzverrR [31]

Answer:

Yes.

This probability experiment represents a binomial experiment.

Step-by-step explanation:

A binomial probability experiment is the discrete probability distribution of the number of successes in a sequence of n independent experiments. It has only two outcomes - either yes or no.

For this case it is a binomial probability experiment because the only outcomes available are: she either misses the free kick or gets it.

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2 years ago

Giovanni was playing with blocks and started with one blue triangular block and kept adding more

raketka [301]

Blocks would he need on the 12th step of the pattern is 34.

The correct option is A

<h3></h3><h3>What is series?</h3>

A series is the cumulative sum of a given sequence of terms.

Given:

We can write the series as follows:

1,4,7,10,13,.......

First term =1

common difference= 4-1=3

Using Arithmetic series

$a_{12}\\$ = a+11d

= 1 +11*3

= 1+33

= 34.

Hence, 34 blocks need on 12th step.

Learn more about arithmetic series here:

brainly.com/question/2171130

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7 0

1 year ago

You are applying fertilizer to a football field. The field is 360 feet long and 160 feet wide. You use 8 pounds of fertilizer pe

Assoli18 [71]

Answer: 10 bags

Step-by-step explanation:

First we must calculate the field area. Assuming it is a rectangle then its area equals the product of its length times its width

$A =360*160\\\\A = 57600 ft^2$

You use 8 pounds of fertilizer per 1,000 square feet

So the amount of fertilizer you should use is:

$57,600 ft^2 * \frac{8\ pounds}{1,000\ ft^2} = 460.8\ pounds$

As the fertilizer comes in bags of 50 pound then you need

$460.8\ pounds * \frac{1\ bag}{50\ pounds} = 9.2\ bags$

Since you can not buy 9.2 bags then we round up to the next whole number.

Finally you need 10 bags of fertilizer

6 0

2 years ago

An automobile manufacturer has given its car a 52.6 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Arte-miy333 [17]

Answer:

Null hypothesis: $\mu = 52.6$

Alternative hypothesis: $\mu \neq 52.6$

$z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976$

$p_v =2*P(z>1.976)=0.0482$

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

Step-by-step explanation:

Information provided

$\bar X=52.8$ represent the sample mean for the MPG of the cars

$\sigma=1.6$ represent the population standard deviation

$n=250$ sample size of cars

$\mu_o =52.6$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis

We need to conduct a hypothesis in order to check if the true mean of MPG is different from 52.6 MPG, the system of hypothesis would be:

Null hypothesis: $\mu = 52.6$

Alternative hypothesis: $\mu \neq 52.6$

Since we know the population deviation the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Calculate the statistic

Replacing we have this:

$z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976$

Decision

Since is a two tailed test the p value would be:

$p_v =2*P(z>1.976)=0.0482$

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

3 0

2 years ago

Triangle ABC has the following coordinates: A (-2, 3) B (4, -3) C (-2, -3) What are the coordinates points for triangle A'B'C' i

hodyreva [135]

Answer: The coordinates of triangle A'B'C',

A'≡(3/2, -9/4)

B'≡(-3, 9/4)

C'≡(3/2, 9/4)

Step-by-step explanation:

Since, the rule of transforming the triangle ABC by the scale factor -3/4,

$(x,y)\rightarrow (\frac{-3}{4}x, \frac{-3}{4}y)$