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3 years ago

Need an answer for both plez.

Mathematics

1 answer:

Ilya [14]3 years ago

3 0

Answer:

(2, 13)

Step-by-step explanation:

Since they both equal y, you can equal them to each other.

8x - 3 = 2x + 9

Subtract 2x from both sides.

6x - 3 = 9

Add 3 to both sides.

6x = 12

Now divide 6 on both sides.

x = 2

Now that we have found x, we need to find y. Just plug in x to the equations.

y = 2(2) + 9

y = 4 + 9

y = 13

Now, if the next equal has the same y, then both are true.

8(2) -3 = y

16-3=y

13 = y

So therefor, both x and y are true.

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Imagine that you have the opportunity to purchase a large piece of land for $100,000, after taking out a loan. You have decided

MakcuM [25]

what is this

Step-by-step explanation:

Option #1 – charges 5% simple interest per year; this is a short-term loan for only 5-years.

Option #2 – charges 7% simple interest per year; this is a short-term loan for only 3-years.

Option #3 – charges 3.2% simple interest per year; there is no time limit on this loan (as a group determine how long you think it will take you to make enough money to be able to pay back the loan with interest)

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3 0

2 years ago

Read 2 more answers

NEED HELP I need to fill in the highlighted parts

Gemiola [76]

The statements and reasons why the given statements are true are presented in the following two column proofs;

Question 1

Given: 9·(x + 6) - 41 = 75

$Prove \ x = \dfrac{62}{9}$

Statement ${}$ Reason

S1. 9·(x + 6) - 41 = 75 ${}$ R1. Given

S2. 9·(x + 6) = 116 ${}$ R2. Addition property

S3. 9·x + 54 = 116 ${}$ R3. Distributive property

S4. 9·x = 62 ${}$ R4. Subtraction property

S5. $x = \dfrac{62}{9}$ ${}$ R5. Division property of equality

Question 2.

Statement ${}$ Reason

S1. m∠A + m∠B = m∠D ${}$ R1. Given

S2. ∠C and ∠D form a Linear Pair ${}$ R2. Definition of linear pair

S3. ∠C and ∠D are supplementary ${}$ R3. Linear pair ∠s are supplementary

S4. ∠C + ∠D = 180° ${}$ R4. Definition of supplementary

S5. m∠C + m∠A + m∠B = 180° ${}$ R5. Substitution property

Question 3.

Statement ${}$ Reason

S1. ∠BDA ≅ ∠A ${}$ R1. Given

S2. ∠BDA ≅ ∠CDE ${}$ R2. Vertical angle theorem

S3. ∠CDE ≅ ∠A ${}$ R3. Transitive property of congruency

S4. m∠CDE = m∠A ${}$ R4. Definition of congruency

S5. (13·x + 20)° = (14·x + 15)° ${}$ R5. Substitution Property of Equality

S6. 14·x° = 13·x + 5° ${}$ R6. Subtraction property

S7. x = 5 ${}$ R7. Subtraction property

Learn more here:

brainly.com/question/11331230

6 0

3 years ago

In the triangle below, what is the tangent of 45°?

Lana71 [14]

Answer:

Step-by-step explanation:

tan45° = $\frac{opposite}{adjacent}$ = $\frac{1}{1}$ = 1

6 0

3 years ago

Read 2 more answers

Suppose that a manager is interested in estimating the average amount of money customers spend in her store. After sampling 36 t

musickatia [10]

Answer:

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Step-by-step explanation:

Assuming this complete question: Which statement gives a valid interpretation of the interval?

The store manager is 90% confident that the average amount spent by the 36 sampled customers is between S38.01 and $44.29.

There is a 90% chance that the mean amount spent by all customers is between S38.01 and $44.29.

There is a 90% chance that a randomly selected customer will spend between S38.01 and $44.29.

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

8 0

3 years ago

Which expressions are equivalent to -6n+(-12)+4n

Elza [17]

Answer:

-2n - 12

Step-by-step explanation:

Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.

-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12

-2n - 12 is your answer

5 0

3 years ago