Which ordered pair (p, r) is the solution to the given system of linear equations?
(5p - 3r = 1
8p + 6r= 4

Answers

Answer 1

Answer:

[tex](\frac{1}{3};\frac{2}{9})[/tex]

Step-by-step explanation:

[tex]\left \{ {{10p-6r=2} \atop {8p+6r=4}} \right. \ \left \{ {{18p=6} \atop {8p+6r=4}} \right. \ \left \{ {{p=\frac{1}{3} } \atop {r=\frac{2}{9} }} \right.[/tex]

Answer 2

Answer:

Its D

Step-by-step explanation:

Edge 2021


Related Questions

Express the function H in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions forf(x) and g(x).)H(x) = |1 − x3|

Answers

Answer:

We know that:

H(x) = |1 - x^3|

and:

We want to write H(x) as  f( g(x) ) , such that for two functions:

So we want to find two functions f(x) and g(x) such that:

f( g(x) ) = |1 - x^3|

Where neither of these functions can be an identity function.

Let's define g(x) as:

g(x) = x^3 + 2

And f(x) as:

f(x) = | A - x|

Where A can be a real number, we need to find the value of A.

Then:

f(g(x)) = |A - g(x)|

and remember that g(x) = x^3 + 2

then:

f(g(x)) = |A - g(x)| = |A - x^3 - 2|

And this must be equal to:

|A - x^3 - 2| =  |1 - x^3|

Then:

A = 3

The functions are then:

f(x) = | 3 - x|

g(x) = x^3 + 2

And H(x) =  f( g(x) )

76%
Here are ten numbers:
3 7 2 4 7 5 7 1 8 8
a) Write down the mode.
b)
Work out the median.
c)
Calculate the mean.
d)
What is the range?​

Answers

Answer:

Mode = 7

Median = 6

Mean = 5.2

Range = 7

Step-by-step explanation:

Mode:

The most repeated number is 7 (thrice).

Median:

First, arrange them in order.

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

The two middle numbers are 5 and 7. Find their average.

(5 + 7)/2 = 6

Mean:

(3+7+2+4+7+5+7+1+8+8)/10 = 5.2

Range:

Largest number - smallest number

8 - 1 = 7

Hope this helps!

Complete the function table. i really need help please

Answers

Answer:

Here ya go

Step-by-step explanation:

Free question answer for points. If its correct ill mark brainliest ​

Answers

Answer:

[tex]14. \\841\rightarrow 800\\\\15.\\750[/tex]

Step-by-step explanation:

14:

Round the highest place means keeping the farther non-zero digit to the left, then rounding. Therefore, there should only be one non-zero digit in our final answer. The only answer choice that follows this and correctly rounds is [tex]\boxed{841\rightarrow 800}[/tex]

15:

There are 30 days in November. Therefore, the number of pages typed is equal to [tex]30\cdot 25=\boxed{750}[/tex]

Answer:

.

Step-by-step explanation:

There are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B.
The total length of these two carriers is 4198 feet, while the difference of their lengths is only
10 feet.

Answers

Answer:

Carrier A is 2,104 feet and Carrier B is 2,094 feet.

Step-by-step explanation:

Since there are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B, and the total length of these two carriers is 4198 feet, while the difference of their lengths is only 10 feet, to determine the length of each aircraft carrier, the following calculation must be performed:

(4,198 - 10) / 2 = X

4.188 / 2 = X

2,094 = X

2,094 + 10 = 2,104

2,094 + 2,104 = 4,198

Therefore, Carrier A is 2,104 feet and Carrier B is 2,094 feet.

prove by factorization √16×81=√16×√81

Answers

Answer:

√16×81 = 4×9 or √1296 = 36

√16×√81 = 4×9 = 36

Step-by-step explanation:

√81×16

We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).

√81 = √3×3×3×3 = √9×9 = √9² = 9

√16 = √2×2×2×2 = √4×4 = √4² = 4

PLS HELP ASAP. NO LINKS
When z= 9, the value of z2 + 1 is

Answers

answer is 82

substitute z for 9

9^2 = 81+ 1= 82

which expression represents these words?

8 more than the quotient of 32 and 4

A. (32-4)+8

B. 32÷4-8

C. (32-4)-8

D. 32÷4+8

Answers

Answer:

(32 ÷4) +8

Step-by-step explanation:

More than means it comes after

quotient of 32 and 4

32÷ 4

8 more than

(32 ÷4) +8

What is the sum of the polynomials?
(m + n + 3) + (m + n + 4)

Answers

Answer:

i honestly dk but need help

Step-by-step explanation:

ls

Answer:

2m+2n+7

Step-by-step explanation:

See image below:)

at 90kph, how far do you travel in 6 hours​

Answers

Answer:

540 km

Step-by-step explanation:

You find distance by multiplying rate and time. Rate is 90, and time is 6. 90 x 6 = 540 km

Can you help me please

Answers

Answer:

mid point=(x1 + x2)/2 (y1 + y2)/2

(-5+5)/2 and (-7+4)/2

0 and 1.5

midpoint=(0,1.5)

Plz help i need a correct answer asap

Answers

A is

[tex] | - 9| + |9| [/tex]

absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)

B ist just 18

Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?

Answers

Answer:

no

the goal total would be too high

Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.

__

If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is ...

 s + 2s = 9

 3s = 9 . . . . . . collect terms

 s = 9/3 = 3 . . . divide by the coefficient of s

Sadie scored 3 goals. (s=4 is not the solution to the problem)

Help me plzzz , if u help me I flippin love u yoooooooooooooooooooooooooooooooooooooo:)

Answers

Answer:

7 solutions

Step-by-step explanation:

30% of a sum of money is $234.
Use this fact to work out:
a 60%
b 90%
C 15%
d 3%
of the same amount.

Answers

Answer:

just took it, 15%

Step-by-step explanation:

I just took it online on ed

Answer:

30/100 × Y= 234

Y= 234÷30=7.8

7.8×100= 780

So the money is $780

Step-by-step explanation:

a. 60/100× 780 = $468

b. 90/100× 780 = $702

c. 15/100× 780= $117

d. 3/100 × 780= $23.4

Can someone help me

Answers

It’s Rational numbers

Allison works at a Bank. Her employer offers her a retirement pension plan which will be 1.75% of her average salary for the last five years of employment for every year worked. Allison is planning on retiring after working at the Credit Union for 32 years. Her salaries over the last five years are $70,000; $73,100; $75,200; $77,500; and $79,000. Calculate Allison's annual pension.​

Answers

9514 1404 393

Answer:

  $41,977.60

Step-by-step explanation:

Allison's average salary for the last 5 years is ...

  (70 +73.1 +75.2 +77.5 +79)/5 = 74.96 . . . . thousand dollars

Then her annual pension is ...

  1.75% × $74,960 × 32 = $41,997.60

Find the 10th term of the geometric sequence 9,-18,36…

Answers

Answer:   -4608

========================================================

Explanation:

a = 9 = first term

r = -2 = common ratio

We multiply each term by -2 to generate the next term

The nth term for this geometric sequence is a*(r)^(n-1) which becomes 9(-2)^(n-1)

If you tried plugging in say n = 2, you should find that,

9(-2)^(n-1)

9(-2)^(2-1)

9(-2)^1

9(-2)

-18

So that confirms the second term. I'll let you try the other values of n to confirm it further.

----------------------

From here, you plug in n = 10 to find the tenth term

9(-2)^(n-1)

9(-2)^(10-1)

9(-2)^9

9(-512)

-4608

The ration of men to women in a community is 25:12.If there are 240 women..(i) how many men are in the community?..(ii) What is the total number of people in the community?

Answers

Answer:

500 men

740 total people in community

Step-by-step explanation:

25:12 ratio

When using a ratio both sides should go up the same amount of times to get the number you are trying to reach. Since the women's amount was 240 we need to find the times it took to get from 12 to 240. You take the 240 and divide by 12. We find that the 12 was multiplied 20 times to get to 240. So you turn to the men's side and find the amount using the 25. We use X to signify the amount we are trying to find and the amount of times that 25 goes into X will be 20 to keep the ratio of men to women as specified. When solving for X you multiply both sides of the equation by 25 to find the amount. X will equal 500 (=20*25).

Then 240 women plus 500 men equals to 740 people in the community.

Women

240/12 = 20

Men

X/25=20

X=20*25

X=500

240 women+500 men=740 people

is it possible to make a triangle with a measure of 1o m 6m and 7m​

Answers

Answer:

Step-by-step explanation:

So basically you

Then you have to

And finally the answer is

what is the probability of throwing an odd number with a fair die​

Answers

Answer:3/6 or 1/2

Step-by-step explanation::So a fair die has 6 sides so it would be soemthing out of 6 we know their 3 odd number on the die so that means it would be 3/6 or 1/2 that yu would land a odd number.


A student is running a 3-kilometer race. He runs 1kilometer every 2minutes. Select the function that describes the distance from the finish line after xminutes

Answers

Answer:

(0.5X) - 3 = Distance from the finish line

Step-by-step explanation:

Given that a student is running a 3-kilometer race, and runs 1 kilometer every 2 minutes, to determine the function that describes the distance from the finish line after X minutes, the following calculation must be performed:

1 = kilometers for every 2 minutes

X = every number of minutes

1/2 = 0.5 = kilometers per minute

(0.5X) - 3 = Distance from the finish line

Thus, if the student runs for 4 minutes, the equation would operate as follows:

0.5 x 4 - 3 = X

2 - 3 = X

-1 = X

Find the area of the sector in
terms of pi.
150°
12
Area = [?]π
Enter

Answers

The answer is 60π

and I wrote all the solutions you need I’m this picture so I wish you the best and good luck!!

What is the result of subtracting the second equation from the first

Answers

Answer:

[tex]5x -2y = -2[/tex]

Step-by-step explanation:

Given

[tex]-2x + y = 0[/tex]

[tex]-7x + 3y = 2[/tex]

Required

Subtract (2) from (1)

This gives:

[tex]-2x - -7x +y - 3y = 0 -2[/tex]

[tex]5x -2y = -2[/tex]

HELP ME WITH THIS PLSSS!!!

A circle has been divided into three equal angles. is each angle acute obtuse or right?

Answers

Answer:

obtuse

Step-by-step explanation:

A circle is 360 degrees

Divide by 3

360/3 =120

This is greater than 90 and less than 180 so it is obtuse

Please help me with this math problem. Only answer if your sure it’s correct. Pls answer ASAP!

Answers

Answer:

Step-by-step explanation:

Using distance formula (search it up, it's BIG) we start by plugging in the coordinates. the second x coordinate minus the first x coordinate is equal to -2 - - 4. You can't subtract a negative from an negative, so you add them.  We change it to -2 + + 4 which equals 2. According to the distance formula (look it up), we square that (meaning it's equal to 4) and add it to the y value. The y value is equal to the second y coordinate minus the first y coordinate. This is represented by -3 - 0. This equals -3, but according to the distance formula, we square it which makes it equal to 6. Now, what do we do with the numbers 6 and 4? Following the distance formula, we add them which is equal to 10. Now we are left with the square root of 10 according to the distance formula. Your answer is the square root of 10 or in decimal form, 3.162277......... I hope this helped!

Step-by-step explanation:

hear Is your answer check


Find the volume of the composite solid. Round your answer to the nearest
tenth.

Answers

Answer:

Answer D

Step-by-step explanation:

pi * 3 * 12 gives roughly 113. Even ignoring the exact value of the ball shape cut in half, it's the only remotely plausible solution

brainliest should be possible with 2 answers btw

Question 1 of 10
What is the x-intercept of the function graphed below?

Answers

The "x-interept" is the point where the graph crosses the x-axis.

From here, it looks like this graph crosses the x-axis where x=2 .

So the point is  (2, 0) .

That's choice-A .

(2,0) because the point that lies on the x-axis is 2.

Find the perimeter of the figure.

Answers

Answer:

below

Step-by-step explanation:

p = 2( a + b)

p = 2(24 +16)

p =80 in

p semicircle

=πr

= 3.142 *8

= 25.136

p of figure

p =80 +25.136

p=105.136 in

Solve the system of equations.
y = x + 4
y = x2 + 2

Answers

Answer:

(2,6) and (-1,3)

Step-by-step explanation:

Hi there!

We're given the system of equations:

y=x+4

y=x²+2

and we need to solve the system

You may first notice that both equations are equal to y, so we can set them to equal each other via a property known as transitivity (if a=b and b=c, then a=c)

x²+2=x+4

subtract x from both sides

x²-x+2=4

subtract 4 from both sides

x²-x-2=0

we can factor the polynomial

the numbers that add up to -1 and multiply to get -2 are -2 and 1

(x-2)(x+1)=0

solve

x=2, x=-1

both values of x work- so we'll have 2 solutions in this case

now we need to solve for y; we can do this by substituting the value of x into one of the equations to solve for y

let's use y=x+4

so if we'll use x=2,

y=2+4

y=6

one solution will be (2,6)

and if we use x=-1

y=-1+4

y=3

and the other will be (-1,3)

Hope this helps! :)

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