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Solve the following system by elimination x - 4y= 2 and 4x - 16y = 8

Answers

Answer 1

Answer:

Answer:

0=0

or as separate equations:

y=1/2

X=4y+2

Explanation:

If we solve your system by elimination:

x−4y=2;4x−16y=8 -->

Multiply the first equation by -4,and multiply the second equation by 1.

−4(x−4y=2)

1(4x−16y=8)

Becomes:

−4x+16y=−8

4x−16y=8

Add these equations to eliminate x:

0=0

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29 + 15x = -x - 3. Simplified
HELP PLZ ASAP!!!!A landfill has 60,000 tons of waste in it. Each month it accumulates an average of 360 more tons of waste. What is a function rule that represents the total amount of waste after m months? Let W represent the total amount of waste and m represent months.A. W= 360m + 60,000B. W= 60,000m + 360C. W= 360m - 60,000D. W= 60,000m - 360
suppose Monica walks 1 kilometer every 15 minutes how many meters further can she walk in 1 hour at this new rate
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches. What are the z-scores for a woman 6 feet tall and a man 5'10" tall? (You may round your answers to two decimal places) z-scores for a woman 6 feet tall: z-scores for a man 5'10" tall:

Find the product. write your answer in exponential form 9²•9-⁶

Answers

Answer:

9^8

Step-by-step explanation:

9²•9⁶ = 9^(2+6) = 9^8

Answer:

IF the 6 is negative : $9^(2)$ · $9^(-6)$ then the answer is 1/ $9^(4)$

If the 6 is positive then the answer is $9^(8)$

Step-by-step explanation:

Exponents are add when their bases are similar.

The data set shows the number of practice free throws players in a basketball competition made and the number of free throws they made in a timed competition.Practice throws 312 614 2 710 8Free throws 10 22 9 35 4 11 28 20A. Use technology to find the equation AND coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Equation of regression modelCoefficient of determinationLinear model Quadratic model Exponential model B. EXPLAIN, using the information you found above, which model best fits the data set. How did you come to your conclusion?Note: write exponents like this x^2 if you need to.

Answers

Let

x -----> number of practice throws

y -----> the number of free throws

Part A

Linear Model

Using a Linear Regression Calculator

we have

ŷ = 2.352X - 0.852

see the attached figure

Remember that

With linear regression, the coefficient of determination is equal to the square of the correlation between the x and y variables

the coefficient r=0.919

Quadratic model

Using a Quadratic regression Calculator

we have

y=0.073x^2+1.205x+2.555

correlation coefficient r=0.925 ------> strong correlation

see the attached figure

Exponential model

Using an Exponential Regression Calculator

we have

y=4.229(1.17)^x

Correlation:r=0.913

see the attached figure

Part B

The model that best fits the data is the Quadratic model because its value of r is greater than the linear model and greater than the exponential model

Which integer represents the following phrase? The elevation of Mt Everest is about 29 thousand feet above sea level A.29.00 B. -29,000 c. 29,000 D. 29/100

Answers

Answer:

Step-by-step explanation:

That is my final answer and also I maybe wrong so don't take my word for it.

Mang Jose plans to fence his rectangular lot before he will plant mushrooms for his mushrooms production business. The perimeter of the lot is 40 meters and the area is 96 square meters.Using the concept of the sum and product of roots of a quadratic equation, how would you determine the length and the width of the rectangular lot? Provide a quadratic equation representing this scenario.

Someone help me

Answers

Answer: The rectangular lot is 12x8 meters

Step-by-step explanation:Perimeter of a geometric figure is the sum of all its sides.

A rectangle is a quadrilateral that has opposite sides parallel and equal, which means, and suppose l is length and w is width:

P = 2l + 2w

The perimeter of the lot is 40m, thus:

2l + 2w = 40

Area of a rectangle is calculated as:

A = length x width

The lot has area of 96, thus:

lw = 96

Solving the system of equations:

2l + 2w = 40 (1)

lw = 96 (2)

Isolate l from (1):

2l = 40 - 2w

l = 20 - w (3)

Substitute (3) in (2):

w(20-w) = 96

$-w^(2)+20w=96$

$-w^(2)+20w-96=0$

There are many methods to determine the roots of a quadratic equation. One of them is using the sum and product of those roots.

Sum of the roots is given by:

$sum = (-b)/(a)$

$sum=(-20)/(-1)$

sum = 20

Product of the roots is:

$prod=(c)/(a)$

$prod=(-96)/(-1)$

prod = 96

The roots of the quadratic equation are numbers which the sum results in 20 and product is 96:

w₁ = 12

w₂ = 8

If we substitute w to find l, the numbers will be l₁ = 8 and l₂ = 12.

Since length is bigger than width, the rectangular lot Mang Jose has to plant mushrooms measures 12m in length and 8m in width

1. 5 Burgers and 3 orders of fries cost $34. 4 Burgers and 4 orders of fries cost $32. How much does each burger and each order of fries cost?2. A pile of 44 coins is made up of pennies, nickels, and dimes. If the pile is worth $3.07 and there are twice as many nickels as pennies, how many of each coin does the pile contain?

Answers

Answer:

a burger costs $5

an order of fries costs $3

7 pennies

14 nickels

23 dimes

Step-by-step explanation:

x = price of a burger

y = price of a order of fries

5x + 3y = 34

4x + 4y = 32

x + y = 8

x = 8-y

5×(8-y) + 3y = 34

40 - 5y + 3y = 34

-2y = -6

y = $3

x = 8 - 3 = $5

x = number of pennies

y = number of nickels

z = number of dimes

0.01×x + 0.05×y + 0.1×z = 3.07

y = 2x

x + y + z = 44

x + 2x + z = 44

3x + z = 44

z = 44 - 3x

0.01×x + 0.05×2x + 0.1×z = 3.07

0.11×x + 0.1×z = 3.07

0.11×x + 0.1×(44-3x) = 3.07

11x + 10×(44-3x) = 307

11x + 440 - 30x = 307

-19x = -133

x = 7

y = 2×7 = 14

z = 44 - 3×7 = 44 - 21 = 23

Hello I am needing help on this word problem please. I think it's 30 but I'm questioning myself

Answers

Solution:

Since 5 pounds of meat will feed about 26 people.

Thus;

$\begin{gathered} (5)/(26)lb\text{ would feed 1 person} \n \n =0.1923 \end{gathered}$

If she is expecting 156 people, she should prepare;

$\begin{gathered} (0.1923*156)lb\text{ of meat} \n \n \approx30lb \end{gathered}$

ANSWER: 30lb

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