Use elimination to solve this system of equations. 2r + 3s= 9 and 3r + 2s= 12

Answers

Answer 1

Answer: 2r + 3s= 9 <=> -6r -9s = -27;
3r + 2s= 12 <=> 6r + 4s = 24;
=> 0*r -5*s = -3 => s = 3/5;

2*r + 3*(3/5) = 9<=> 10*r + 9 = 45 <=> 10*r = 36 => r = 18/5;

Answer 2

Answer:

Answer:

(18/5,3/5)

Step-by-step explanation:

Related Questions

What is the sum of the polynomials 8x^2-7x+3 and 2x^2 +10x-5
A pelican consumes 33 1/3% of its body weight in one meal. Write this percent as a fraction in simplest form.
.16 with the 6 repeating to a fraction
Every 1/2 hour Naomi streches her neck; every 1/3 hours she stretches her legs; and every 1/6 hour she streches her arms. Which parts of her body will Naomi strech when2/3 of an hour has passed?A- neck and legsB- neck and armsC- legs and armsD- none
Put the following equation of a line into slope-intercept form, simplifying all fractions2x+4y=4

The pyramid of khagra,in Egypt,is 488 feet tall. The Eiffel Tower,in France,is 1,063 feet tall. How much taller is the Eiffel Tower than the Pyramid of Khafra?

Answers

Answer:

The Eiffel Tower in France is 575 feet taller than pyramid of khagra.

Step-by-step explanation:

We are given the following in the question:

Height of pyramid of khagra = 488 feet

Height of Eiffel Tower in France = 1,063 feet

Difference in height =

= Height of Eiffel Tower in France - Height of pyramid of khagra

$=1063 - 488\n= 575\text{ feet}$

Thus, the Eiffel Tower in France is 575 feet taller than pyramid of khagra.

Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.

However, I'll solve for the vertex of the given function.

Given

$y = -9.5x^2 + 47.5x + 63$

Vertex, V is of the form:

$V= (h,k)$

Where

$h = -(b)/(2a)$

and

$k = f(h)$

Solving for h:

$y = -9.5x^2 + 47.5x + 63$

$y = ax^2 + bx + c$

So:

$a = -9.5$

$b = 47.5$

$c = 63$

$h = -(b)/(2a)$

$h = -(47.5)/(2 * -9.5)$

$h = -(47.5)/(-19)$

$h = (47.5)/(19)$

$h = 2.5$

Solving for k

$k = f(h)$

$k = f(2.5)$

Substitute 2.5 for x in $y = -9.5x^2 + 47.5x + 63$

$k = -9.5 * 2.5^2 + 47.5* 2.5 + 63$

$k = -59.375+ 118.75 + 63$

$k = 122.375$

Hence:

The vertex is

$V = (2.5,122.375)$

The correct vertex for the function $y = -9.5x^2 + 47.5x + 63$ is (2.5, 122.375).

The given function is $y = -9.5x^2 + 47.5x + 63$ .

To find the vertex of a quadratic function in the form $y = ax^2 + bx + c$ , we can use the formula x = -b / (2a) to find the x-coordinate of the vertex.

In this case, the coefficient of $x^2$ is -9.5, the coefficient of x is 47.5, and there is no constant term.

Using the formula, we can find the x-coordinate of the vertex:

$x = (-b )/( 2a)\nx = (-47.5 )/( (2 * -9.5))\nx = 2.5$

Now, substitute this x-coordinate back into the original function to find the y-coordinate:

$y = -9.5(2.5)^2 + 47.5(2.5) + 63\ny = -9.5(6.25) + 118.75 + 63\ny = -59.375 + 118.75 + 63\ny = 122.375$

Therefore, the correct vertex for the function $y = -9.5x^2 + 47.5x + 63$ is (2.5, 122.375).

Micah's error might be related to incorrectly calculating the x-coordinate of the vertex or substituting the wrong value back into the function.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ3

Bruno bought 96 pounds of sugar for his bakery. Every day he used the same amount of sugar to make bakery items. After 10 days, Bruno was left with 15.2 pounds of sugar. On average, how many pounds of sugar did Bruno use each day? 5.60 pounds

8.08 pounds

11.12 pounds

18.46 pounds

Answers

96 - 15.2 = 80.8
80.8 / 10 = 8.08

He was using up 8.08 pounds of sugar daily for his baking, so the answer is the second option.

Answer:

Answer is B so yeah

A professor determined the relationship between the time spent studying (in hours) and performance on an exam. Performance = 70.443 + 4.885 * (time) Ann studied 2.6 hours for the last exam. However there was a concert in town the night before and her score was 16 points lower than expected. What was her score on this exam, rounded to the nearest integer?

Answers

First we need to calculate Ann's predicted score.

$Predicted Score = 70.443 + (4.885)(2.6)$

Ann's predicted score was 83.114

Since her actual score was 16 points lower than this, we just subtract.

$Real Score = 83.114 - 16$

Ann's real score was 67.114

When rounded to the nearest interger Ann's score is 67

If the sales tax is 6% and the purchase price is $271, what is the amount of tax?

Answers

do .06 x 271= 16.26 and add 271+16.26.. you should get 287.26

$100\%-price\ without\ tax\n100\%+6\%=106\%-price\ with\ tax\n\n271=106\%x\n271=1.06x\ \ \ \ \ |:1.06\nx=255.66\n\n271-255.66=15.34\n\n\nTax\ is\ equal\ \$15.34$