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3 years ago

Elimination 2x - 5y = 8 x - 3y = -1

Mathematics

1 answer:

ruslelena [56]3 years ago

8 0

X=29 and y=10

You would isolate one of the variables and then plug the expression into the other equation to find the value of one variable. Then you would plug this value into the other equation to determine the value of the remaining variable.

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MARKING BRAINLIEST <br><br> PLS HELP

beks73 [17]

It would be the f(x+3) + 2

4 0

3 years ago

Read 2 more answers

CAN SOMEONE PLEASE HELP ME WITH THIS ITS DUE TODAY

saveliy_v [14]

1. 4 x 31 is 124

2. 7 x 49 is 658

3. 16 x 48 is 608

4. 8(5 + w) is 8w + 40

5. 11(9 + d) is 11d + 99

6. 15(p + 4 + 2) is 15p + 90

7. Let's simplify step-by-step.

2x−4+3x

=2x+−4+3x

Combine Like Terms:

=2x+−4+3x

=(2x+3x)+(−4)

=5x+−4.

8. Let's simplify step-by-step.

4y−1−3y−2

=4y+−1+−3y+−2

Combine Like Terms:

=4y+−1+−3y+−2

=(4y+−3y)+(−1+−2)

=y+−3.

9. Let's simplify step-by-step.

x+2(x−4)

Distribute:

=x+(2)(x)+(2)(−4)

=x+2x+−8

Combine Like Terms:

=x+2x+−8

=(x+2x)+(−8)

=3x+−8.

10. Part A)

The jazz band sells 31 large boxes of fruit and 74 small boxes of fruit.

For each large fruit box, the price is $20 and cost is $x.

Profit is defined as Price - Cost.

So, profit for one large fruit box = 20 - x

Profit for 31 large fruit boxes = 31(20 - x)

Price of each small fruit box is $10 and cost of each small fruit box is $y. The profit for each small fruit box is 10 - y.

Profit for 74 small fruit boxes = 74(10 - y)

The total profit for 31 large boxes and 74 small boxes will be:

Total profit = 31 (20 - x ) + 74(10 - y)

Using distributive property, we can simplify the above equation as:

Total profit = 31(20) - 31x +74(10) - 74y

Total profit = 1360 - 31x - 74y

Part B)

Cost of each large box is given to be $9. This means x = 9

Cost of each small box is given to be $4. This means y = 4

Using the values of x and y in the profit equation we can find the profit of the Jazz Band.

So, Jazz Band's Profit = 1360 - 31(9) - 74(4)

Jazz Band's Profit = $ 785

Thus the profit of Jazz Band will be $785.

Have A good day!! Hope I helped!!! ^-^

6 0

3 years ago

A bank is investigating ways to entice customers to charge more on their credit cards. (Banks earn a fee from the merchant on ea

MAVERICK [17]

Answer:

$CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\$

$CI = (527 - 439) \pm 25.75\\\\CI = 88 \pm 25.75\\\\CI = 88 - 25.75 \:\: and \:\: 88 + 25.75\\\\CI = (62.2 \: ,\: 113.8 )$

The correct answer choice is a. (62.2, 113.8)

Step-by-step explanation:

Of the 500 customers who were told the increase applied to charges above $1000 each month, the average increase in spending was $527 with a standard deviation of $225.

Sample size = n₁ = 500

Sample mean = x₁ = $527

Standard deviation = s₁ = $225

Of the 500 customers who were told the increase applied to charges above $2000 each month, the average increase in spending was $439 with a standard deviation of $189

Sample size = n₂ = 500

Sample mean = x₂ = $439

Standard deviation = s₂ = $189

We are asked to find the 95% confidence interval for the difference between two means.

The given group of answer choices are

a. (62.2, 113.8)

b. (86.2, 120.5)

c. (10.3, 23.8)

d. (55.6, 67.8)

The confidence interval for the difference between two means is given by

$CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\$

Where $\bar{x_{1} }$ and $\bar{x_{2} }$ are the given sample means and margin of error is given by

$MoE = z_{\alpha/2} \cdot \sqrt{\frac{s_{1}^2}{n_1} + \frac{s_{2}^2}{n_2}}$

The z-score corresponding to 95% confidence level is given by

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

From the z-table at α = 0.025 the z-score is 1.96

$MoE = 1.96 \cdot \sqrt{\frac{225^2}{500} + \frac{189^2}{500}}$

$MoE = 1.96 \cdot 13.14$

$MoE = 25.75$

Finally,

$CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\$

$CI = (527 - 439) \pm 25.75\\\\CI = 88 \pm 25.75\\\\CI = 88 - 25.75 \:\: and \:\: 88 + 25.75\\\\CI = (62.2 \: ,\: 113.8 )$

Therefore, the correct answer choice is a. (62.2, 113.8)

How to use z-table?

In the z-table find the probability of 0.025

Note down the value of that row, it would be 1.9.

Note down the value of that column, it would be 0.06.

Add the two numbers together.

The z-score is 1.9 + 0.06 = 1.96

4 0

4 years ago

How to find the constant variation for each direct variation

mestny [16]

To find the constant variation for each varitation is find the pattern and the answer is that

6 0

3 years ago

Find the exact value of cot 330° in simplest form with a rational denominator.

Hoochie [10]

Answer:

$\cot 330^{\circ} = -\sqrt{3}$

Step-by-step explanation:

The cotangent function can be rewritten by trigonometric relations, that is:

$\cot 330^{\circ} = \frac{1}{\tan 330^{\circ}} = \frac{\cos 330^{\circ}}{\sin 330^{\circ}}$ (1)

By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:

$\sin 330^{\circ} = \sin (-30^{\circ}) = -\sin 30^{\circ}$ (2)