The solution to a system of linear equations (-3,-3) which system of linear equations has this point as its solution?

Answers

Answer 1

Answer:

[tex]x - 5y =12[/tex]  and [tex]3x + 2y =-15[/tex]

Step-by-step explanation:

Given

See attachment

Required

Which options has the solution: [tex](x,y) = (-3,-3)[/tex]

[tex](a)[/tex]  [tex]x - 5y =-12[/tex]  and [tex]3x + 2y =-15[/tex]

Substitute [tex]x =-3[/tex] and [tex]y = -3[/tex]  in [tex]x - 5y =-12[/tex]  and [tex]3x + 2y =-15[/tex]

[tex]x - 5y =-12[/tex]

[tex]-3 - 5*-3 = -12[/tex]

[tex]-3 + 15 = -12[/tex]

[tex]12 \ne -12[/tex]

This is not a solution

[tex](b)[/tex]  [tex]x - 5y =-12[/tex]  and [tex]3x + 2y =15[/tex]

As shown in (a), (-3,-3) is not true for [tex]x - 5y =-12[/tex]

[tex](c)[/tex]  [tex]x - 5y =12[/tex]  and [tex]3x + 2y =-15[/tex]

Substitute [tex]x =-3[/tex] and [tex]y = -3[/tex]  in [tex]x - 5y =12[/tex]  and [tex]3x + 2y =-15[/tex]

[tex]x - 5y =12[/tex]

[tex]-3 - 5(-3) = 12[/tex]

[tex]-3 + 15 = 12[/tex]

[tex]12 = 12[/tex]

[tex]3x + 2y =-15[/tex]

[tex]3(-3) + 2(-3) = -15[/tex]

[tex]-9 - 6 = -15[/tex]

[tex]-15 = -15[/tex]

Hence,

(-3,-3) is true for [tex]x - 5y =12[/tex]  and [tex]3x + 2y =-15[/tex]

The Solution To A System Of Linear Equations (-3,-3) Which System Of Linear Equations Has This Point
Answer 2

Answer:

C

Step-by-step explanation:

I took the quiz


Related Questions

Determine if the relation is a function if so state the domain and range​

Answers

Answer:

Function - Yes

Domain - [-3,0,3,4]

Range - [1,2,2,5]

Step-by-step explanation:

In a function, x-values cannot repeat and in this relation, x's do not repeat, therefore it is a function. The domain is the x-values on the graph from least to greatest; so to find the domain, simply take the first value of each coordinate and order them from least to greatest. Then, the range is the y-values, so to find the range take the second value from each coordinate and order them from least to greatest.

nine and twenty five thousands as decimal form​

Answers

Answer:

9.025

Step-by-step explanation:

9+25*0.001

9+0.025

9.025

Farmer Jake harvested 2,500 pounds of carrots this fall. He sold them out of the back of
his truck and brought home only 250 pounds after a full day of selling. What is the
percent decrease in the number of carrots farmer Jake has left?

Answers

Answer:

10%

Step-by-step explanation:

Which associations best describe the scatter plot?
Select each correct answer.
D Positive association
D Nonlinear association
D Negative association
O Linear association

Answers

negative association i think is the correct answer

Anyone help? don’t understand this question?

Answers

Answer:

Step-by-step explanation:

Let the fraction is "x"

hence putt in box we get,

1-x=3/7

x=1-3/7

taking LCM

x=7-3/7

x=4/7 Ans....

Answer:

The fraction which goes in that box is 3/7.

which angles are coterminal with 3pi/2 ​

Answers

Answer:

the answer is 270 degrees

Step-by-step explanation:

can you help me on my question?

The value of y varies directly with x. If x = 5 when y = 12, what is the value of x when y = 30?

Answers

Answer:

12.5

Step-by-step explanation:

y= kx

k= y/x

x= 5, y= 12

k = 12/5

Therefore the value of x when y is 30 can be calculated as follows

y = kx

30= 12/5x

x= 30÷12/5

x= 30× 5/12

x= 150/12

x= 12.5

What is the value of x in this equation?

2x – 12 = -52

Answers

Answer:

x = -20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

2x - 12 = -52

Step 2: Solve for x

Add 12 on both sides:                     2x = -40Divide 2 on both sides:                   x = -20

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                      2(-20) - 12 = -52Multiply:                                 -40 - 12 = -52Subtract:                                -52 = -52

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

Answer:

[tex]2x - 12 = - 52 \\ 2x = - 52 + 12 \\ 2x = - 40 \\ \boxed{x = - 20}[/tex]

-20 is the right answer.

Omar is going to an amusement park for his birthday party. It costs $30 for the first person's ticket, plus $5 for each additional ticket. If the budget for his party is $125 how many friends could he invite?​

Answers

Answer:

he could invite 19 friends

Step-by-step explanation:

125 (buget) - 30 (cost for 1st ticket) = 95

95/5 = 19

someone help me, please

Answers

Answer:

Its A. g = 11

Step-by-step explanation:

Follow PEMDAS (Parantheses, exponents, multiplication, division, addition, and subtraction)

(g = 11 - 9 = 2)

7(2) = 14

14 + 12 = 26

I hope this helps u! :D

9514 1404 393

Answer:

  (A)  g = 11

Step-by-step explanation:

We can find out by undoing what is done to g.

  26 = 7(g -9) +12

  14 = 7(g -9) . . . . . . . . subtract 12

  2 = g -9 . . . . . . . . . divide by 7

  11 = g . . . . . . . . . . add 9

The value of g that makes the equation true is g = 11.

Help!!!! Sophia travels south 15 meters and then goes east 15 meters before coming straight back north 15 meters. What is her displacement?

0 m
15 m
30 m
45 m

Answers

Answer:

15

Step-by-step explanation:

She basically did a U-Turn

HELP WILL GIVE BRAINLIST NO FAKE ANSWERS
Write a function rule representing the verbal statement given in each case.
1. 7 less than one fourth of x is y .

___________________
2. 5 times w increased by 4 is 2 times u .

___________________

3. z is 6 more than twice y.

___________________

4. 2.5 more than quotient of a and 4 is b .

___________________
Write a function rule representing each situation.
1. The price p of a pizza is $4.95 plus $0.5 for each topping t on the pizza.

___________________

2. The cost c of the membership of a club is $30 for sign up and $15 per week w to be a member.

___________________

3. The cost d of a hotdog is $1 more than half the cost of a sandwich s.

___________________

Answers

Answer

2.5w+4=2u

3. z+6*y

4. 2.5/a=4

Step-by-step explanation:

sorry about the other ones they were confusing hope these are right if not im  so sorry

is this correct (thank you and 5 stars)

Answers

Answer:

Correct!

Step-by-step explanation:

Good Job

1.2 x 10^-6/4.8 x 10^4 simplified

Answers

Answer:

this would be b

Step-by-step explanation:

What is the mass of 65 cm3 of water? The density of water is 1.00 g/cm3. (THE TEACHER JUST ASKED ME THIS ANSWER QUICK PLS LOL)

Answers

If the density is 1 per cm^3 and there is 65 cm^3 then the mass is 65g

On what interval is the function positive?

Answers

Answer: (-∞,2)

Step-by-step explanation: 2 is not included in the interval since at x=2, the function crosses the x axis, meaning it is not positive, and instead 0.

All x values below 2 are positive.

what is 4/7- 2/7 i rlly need help!

Answers

Answer:

2/7

Step-by-step explanation:

4-2=2

4/7 - 2/7 = 2/7

the denominators are the same so just change the numerators

Answer:

2/7

Step-by-step explanation:

[tex] \frac{4}{7} - \frac{2}{7} = \frac{2}{7} [/tex]

if the bottom numbers are the same you can subtract the top numbers like normal

?/1 If a test is worth 45 points, how many points would a student need to earn to get a score of 90%?

Answers

Answer:

40.5 points

Step-by-step explanation:

To start off, I would set up a proportion. You're trying to find how many points out of the total 45 would give you a 90%.

90% as a fraction would be [tex]\frac{90}{100}[/tex].

When you set the two equal to one another, you get this:

[tex]\frac{x}{45} = \frac{90}{100}[/tex]

The bottom numbers are the total amount of points, and the top is how many points a student got.

To solve for x, which is the number of points a student would need to earn, you can cross multiply.

After you do that, you should get:

100x = 4050

To isolate x, you can divide by 100 on both sides.

x = [tex]\frac{4050}{100}[/tex] = 40.5 points

To check your answer, all you have to do is divide.

40.5 ÷ 45 = 0.9

0.9 as a percent is 90%.

What is the value of the expression 0.5 ( 3 x + 2 y ) when x = 2 and y = 4?

Answers

Answer:14 .5

Step-by-step explanation:

3x2 is 6 and 4x2 is 8 so it would be 14a and a half aka 14.5

Answer:

7

Step-by-step explanation:

0.5 *( 3 (2) + 2 (4) )

        (6+8)

0.5*(6+8)

0.5*14

7

A child lets go of a balloon that rises at a constant rate. 5 seconds after it was released, the balloon is at a height of 16 feet above the ground. After 20 seconds of rising, it is at a height of 52 feet above the ground. 1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising. 2. What was the height of the balloon initially before the child let it go? 3. Use your model to predict the height of the balloon after 90 seconds. Only an algebraic solution will receive credit.

Answers

Answer:

1. h = 2.4t + 4

2. 4 feet

3. 220 feet

Step-by-step explanation:

1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.

Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.

So, rate = gradient of line

= change in height/change  in time

= (52 ft - 16 ft)/(20 s - 5 s)

= 36 ft/15 s

= 2.4 ft/s

Now the equation of the line which shows the height is gotten from

(h - h')/(t - t') = rate

Using h'= 16 feet and t' = 5 s, we have

(h - 16)/(t - 5) = 2.4

h - 16 = 2.4(t - 5)

h - 16 = 2.4t - 12

h = 2.4t - 12 + 16

h = 2.4t + 4

where h is the height of the balloon above the ground and t is the time spent in the air in seconds.

2. What was the height of the balloon initially before the child let it go?

We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.

So, substituting t = 0 into the equation for h, we have

h = 2.4t + 4

h = 2.4(0) + 4

h = 0 + 4

h = 4 feet

So, the height of the balloon before the child let go is 4 feet above the ground.

3. Use your model to predict the height of the balloon after 90 seconds.

We insert t = 90 s into the equation for h. So,

h = 2.4t + 4

h = 2.4(90) + 4

h = 216 + 4

h = 220 feet

So, the height of the balloon after 90 s is 220 feet above the ground.

solve 2(x+9)=14 and 2(x-7)=-18

Answers

The answer for both is x=-2

hank has $40.00 in savings account that earns 5% interest per year. the interest is not compound. How much interest will be earned in 2 years? plz hurry

Answers

Answer:

it would be $80.00

Step-by-step explanation:

there

The ________________________________ is the intersection of the three angle bisectors in a triangle.

Group of answer choices

Circumcenter

Incenter

Centroid

Orthocenter

Answers

Answer:

Circumcenter

Step-by-step explanation:

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.

Ace C.a.r.l.o.s. -The Kid Laroi

Help plsssssss and thank you

Answers

Answer:

4 is c

5 is b

6 is 11 and 71

7 is 27.5 and 84.25

1500, 4.25%, 4years
help please

Answers

Answer:

255

Step-by-step explanation:

1500*.0425*4 = 255

Plz answer quick! Will mark brainliest

Answers

Answer:

arithmetic mean of mode is 4.54 recurring arithmetic mean of median is 5.

Step-by-step explanation:

Mean of mode mode is in the column 7 so you add all those numbers and divide by the number of the numbers

A builder is using the drawing below to build a house. If the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?
Please Help!

Perimeter and Area | Mathematics for the Liberal Arts






A.

14.4 feet x 9.6 feet


B.

144 feet x 96 feet


C.

13.2 feet x 8.2 feet


D.

10 feet x 8 feet

Answers

Answer:

A

Step-by-step explanation:

Percentage increment means the part of original value is added to the value. The new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.

What is the percentage of a number?

Percentage of a number or ratio is fraction of hundred. It is expressed with the sign "%".

Given information-

The length of the living room is 12 feet.

The width of the living room is 8 feet.

The owner increases the 20 percent of length and 20% width.

Suppose new length is [tex]l[/tex] feet long. As the owner increases the 20 percent of length. Thus the new length will be sum of original length and the 20 percent of it. Hence,

[tex]l=12+\dfrac{20}{100}\times12 \\l=12+2.4\\l=14.4[/tex]

Thus the new length of the living room is 14.4 feet long.

Suppose new width is [tex]w[/tex] feet long. As the owner increases the 20 percent of width. Thus the new width will be sum of original width and the 20 percent of it. Hence,

[tex]w=8+\dfrac{20}{100}\times8 \\w=8+1.6\\w=9.6[/tex]

Thus the new width of the living room is 1.6 feet long.

Hence the new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.

Learn more about the percentage here;

https://brainly.com/question/24304697

What is the correct meaning of the word saturate?
Saturate the dog's fur with water, and then apply the pet shampoo.
wet through
spray down
rub in
rinse out

Answers

Wet through because in the definition it says throughly

Answer this please
Segment Partitions

Answers

9514 1404 393

Answer:

  E = (-2, -1.5), see attached for a plot

Step-by-step explanation:

We want point E such that ...

  EC/DC = 3/4 . . . . . . . . the ratio of segment lengths is 3/4

  (E -C)/(D -C) = 3/4 . . . . the ratio of coordinate differences is 3/4

  4(E -C) = 3(D -C) . . . . . cross multiply

  4E = 3D -3C +4C . . . . isolate E term

  E = (3D +C)/4 . . . . . . . divide by 4 to find E

__

  E = (3(-3, -4) +(1, 6))/4 = (-9+1, -12 +6)/4

  E = (-2, -1.5)

The point is plotted in the attached graph.

Ms. Molinaro pays $105 for 10 Barre classes. What is the cost per class?

Answers

Answer:

$10.50 for each class

Step-by-step explanation:

105 % 10 = 10.5

105/10 = $10.5 per class
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