Mathematics High School

What is the solution to the system of equations?

Answers

Answer 1

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

Related Questions

What is the range of the following graph?

Answers

Answer: 6

Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)

Answer: i think is 8 also that person already explain

Step-by-step explanation: have a nice day

Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and a = 7.)

Answers

Answer:

Step-by-step explanation:

7 - 5p + 3a

7 - 5(1) + 3(7)

7 - 5 + 21

2 + 21

the answer would be 23

7-5p+3a
7-5(1)+3(7)
7-5+21
2+21
23

Plug in your numbers !!

You bought 12 red apples and 15 green apples to make a pie.
What is the ratio of the number of red apples to the total number of apples?
4 over 9

Answers

Answer:

12 over 27 = 4 over 9

Step-by-step explanation:

12 over (12 + 15) = 12 over 27 = 4 over 9

which is bigger. 34 1/2 or 34.5

Answers

Answer: They are equal.

Step-by-step explanation:

34 1/2 equals 34.5 in decimal form

34.5 equals 34 1/2 in fractional form

(.5 equals 1/2)

A scared tarantula was able to go a distance of 20 meters in 6 seconds. What was its
average speed?

Answers

Answer:

3.33 m/s

Step-by-step explanation:

speed = [tex]\frac{meters}{seconds} > \frac{20}{6} = 3.33[/tex]

HELPPP !! LOOK AT PICTURE
The function, f(x), is a third-degree polynomial whose
zeros are shown on the number line. Use the function
values below to determine the solutions set of f(x) < 0.

Answers

Answer:

A) (-infinity,-2] and D) [0,2]

Step-by-step explanation:

If f(x) = 2x2 + 5x - 8 and f(x) = -10,
which of the following could be a
value for x?
-2

Answers

Answer:

x = -2 or x = -1/2

Step-by-step explanation:

We can just set up an equation where the quadratic is equal to -10, and then solve the equation:

[tex]2x^2+5x-8=-10\\2x^2+5x+2=0\\\\[/tex]

Now, factor:

[tex](2x+1)(x+2) = 0\\x=-2 \text{ or } x=-1/2[/tex]

-1/10 divided by 1/6

Answers

[tex]-0.6[/tex]

For more help, Take a look at this chart.

Answer:

-3/5

Step-by-step explanation:

-1/10 divided by 1/6

-1/10 x 6/1

-6/10 the divided by 2

-3/5

Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W

Answers

Answer:

Step-by-step explanation:

D. 60 + 12w = 95 + 7W

PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER

Answers

Answer:y=9

Step-by-step explanation:

6 Ms. Flynn's class is painting a circular canvas. Its diameter is 5 feet. What is
the area of the canvas to the nearest whole number? Use 3.14 for .

Answers

19.625 ft
3.14(2.5 squared) =19.625

How do you write -4.50 as a mixed number

Answers

Answer:

-9/2

Step-by-step explanation:

OMG Help Me !Select all the correct answers. Which tables represent constant functions? Pick 2 and show your work. No guessing.
x y
2 -1
2 0
2 1
x y
2 -3
4 -7
6 -11
x y
2 3
4 3
6 3
x y
1 3
2 12
3 27
x y
1 -1
2 -1
3 -1

Answers

Tables 1 and 2 because they move at a constant rate of change and they are linear functions with a slope.

Table 3 is not a function because there is more than one input for each output.

Table 4 is an exponential equation with the equation y = 4x^2

Table 5 is not a function for the same reason as table 3.

Answer:

Yes! The answer is A and B. Or the 1st and 2nd ones.

Step-by-step explanation:

• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets
paid $30 per day for delivering newspapers. What is the least number of days he must work to
get enough money for his holiday?

Answers

Answer:

Step-by-step explanation:

500-60=440

440/30=14.66666667

simplify 14.66666667= 15

PLEASE HURRY, MARKING BRAINLIEST.

Solve for the value of x that makes lines a and b parallel.

Answers

x = 16
You set the equations equal and then solvep

Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16

Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation

Answers

Answer:

Yes, he did

Step-by-step explanation:

We have that:.

Total time = 45

At time t, he moves at 8mph.

This gives: 8t

The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).

Hence, the total is

8t + 5(45 - t)

By comparison, we can conclude that Larry modeled the situation correctly.

Can you please answer this my homework is due ✨

Answers

2:1100
3:1650
6:3300
It is all multiplying with the number 550

Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

ƒ -1(x) =

ƒ -1(4) =

Answers

Answer:

f-1(x)=x-4

f-1(4)=0

Step-by-step explanation:

to get an inverse function, replace x with y, and y with x.

y=x+4 ---> x=y+4

solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4

f-1(4)=(4)-4=0

A system of equations is shown below:

2x = 5y + 4
3x − 2y = −16

What is the solution to this system of equations? (5 points)

Answers

Answer:

x = -8, y = -4

Step-by-step explanation:

First we want to write the equations so the variables line up

[tex]2x - 5y = 4\\3x - 2y = -16\\[/tex]

Next, we could either multiply one of the equations to cancel out the x's or the y's, either one works.

I will choose to cancel out the x's

[tex]-3R_1 + 2R_2\\-6x + 15y = -12\\6x - 4y = -32[/tex]

add the equations and solve

[tex]11y = -44\\y = -4[/tex]

once you have one variable, you can use it to solve the other

[tex]2x - 5(-4) = 4\\2x + 20 = 4\\2x = -16\\x = -8[/tex]

verify

[tex]3(-8) - 2(-4)\\-24+ 8\\-16\\[/tex]

it works

So the answer is
X = -8
Y = -4
Here is the working

Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours

Answers

17x = 32

x = 1.882

23x = 23 x 1.882 = 43.286 = 43 balls

WILL MARK BRAINLEST!!

Solve for y put in slope intercept form

(y = mx + b) to find slope
Y + 6 = 1/2 ( x + 20)

Show work please

Answers

First, begin by distributing 1/2 2X and 20. And then subtract six from each side. This is your answer. (Y=1/2x + 4)

*For slope intercept form, you literally just find the slope, and the y-intercept

Hope this helps bro!

what is the equation in slope intercept form 6x-4y=12 ?

Answers

Answer:

y=6/4x-3

Step-by-step explanation:

First, you isolate the y, by subtracting 6x from each side. Then, you divide by -4 on both sides to isolate it to an individual y.

Answer:

Slope = 6/4 or 1 1/2

Step-by-step explanation:

Step 1:

6x - 4y = 12 Equation

Step 2:

y = mx + b Slope Intercept Form

Step 3:

- 4y = - 6x + 12 Subtract 6x on both sides

Step 4:

y = 6/4x + 12 Divide 4 on both sides

Answer:

Slope = 6/4 or 1 1/2

Hope This Helps :)

A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Answers

Answer: D) It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

slope is y2-y1/x2-x1

20-10/7-7

10/0

denominator can't be 0

Answer:

Step-by-step explanation:

cause i said so

A company ships 26 refrigerators in a truck Each refrigerator weighs 309 pounds. What is the total weight of the refrigerators in the truck?
O 2,472 pounds
7,884 pounds
O 8,034 pounds
O 8,294 pounds

Answers

Answer:

8034

Step-by-step explanation:

C'mon!!.... easyyyy

309x26 =8034

how do you convert fractions to decimals?

Answers

Answer:

divide the fractions

Step-by-step explanation:

lets say we have 23/5

we can divide 23 by 5 and get a decimal of 4.6

or lets say we got 1/5

divide 1 by 5 and you will get 0.2

Ken went to a county fair and spent $5 on admission, $6.50 on games, and $7.21 on food. If he had $30 before he went to the fair, how much money does he have left?

Answers

Answer:

11.29 left

Step-by-step explanation:

30 - 5 = 25 - 6.50 = 18.50 - 7.21= 11.29

Answer:

He would have $11. 29 left

Step-by-step explanation:

30-5 =25

25. 00-6.50 = 18.50

18. 50-7.21 = 11.29

Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).

Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.

Answers

Answer:

hmmm...i wanna go with B

Step-by-step explanation:

because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on

at least i believe im right haha hope this helped if its not to late

Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.

Step-by-step explanation: I got the answer correct hope this helps!

Please answer will mark brainliest

Answers

Okkkkkkkkkk
But what’s the question I know I was second but can I have is I’m trynna get 500 points so I can text people

what type of number is -15

Answers

The answer is: Negative number

Answer:

an integer

Step-by-step explanation:

integers are whole number that includes positive number, negative numbers, and zero

2 (k + 2) = 8k - 5 - 3k

Answers

Answer:

k=3

Step-by-step explanation:

Answer:k=3

Step-by-step explanation:

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