What is the solution to the following system of equations?
y = 6x - 11
-2x - 3y = -7

A. -13/10, -94/5
B. -1/2, -14
C. (1, –5)
D. (2, 1)

Answers

Answer 1

Answer:

D.(2,1)

Step-by-step explanation:

All I did was solve by substitution.

Answer 2

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

Substitute y = 6x - 11 into (2)

- 2x - 3(6x - 11) = - 7 ← distribute and simplify left side

- 2x - 18x + 33 = - 7

- 20x + 33 = - 7 ( subtract 33 from both sides )

- 20x = - 40 ( divide both sides by - 20 )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = 6(2) - 11 = 12 - 11 = 1

solution is (2, 1 ) → D


Related Questions

Simplify five to the power of -4 over five to the power of three plzzzz answer

Answers

Answer:

5^-4= 0.0016

5^3= 125

Step-by-step explanation:

How many terms are in the expression below?
4xy + 3y - 2+ 2y - xy

Answers

Answer:

3

Step-by-step explanation:

you have the single numalrial term, you have the x terms, and the y terms

Find the slope when give. the following points : (1,6) and (3,-4)

Answers

Answer:

y = -5x + 11

Step-by-step explanation:

Slope (m) =

ΔY

ΔX=

-5

1

= -5

θ =  

arctan( ΔY ) + 360°

ΔX

= 281.30993247402°

ΔX = 3 – 1 = 2

ΔY = -4 – 6 = -10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

(PLEASE HELP!) The probability of drawing a pink marble from a bag containing these marbles is 3/10.
If you replace the marble each time, predict how many times a pink marble will be chosen out of 100 draws.

Answers

Answer:

30

Step-by-step explanation:

The mean is equal to the number of trials times the probability.

x = (3/10) (100)

x = 30

We expect to draw a pink marble 30 times.

3/4 + 1/6z = 35/4 solve

Answers

z=48 hope this helps

Answer:

z = 48

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex] z = [tex]\frac{35}{4}[/tex]

Multiply through by 12 ( the LCM of 4 and 6 )

9 + 2z = 105 ( subtract 9 from both sides )

2z = 96 ( divide both sides by 2 )

z = 48

I dont have a question anymmore lol k thanks

Answers

Have a great day ;) I hope this was helpful.

Which of the following is equivalent to the complex number i^54?

Answers

Answer:

c)  - 1

Step-by-step explanation:

i^54 = (i^2)^27 =(-1)^27 = -1

Correct option is c)

option "c" is the correct answer

[tex] \huge \bf{explanation}[/tex]

[tex] {i}^{54} [/tex]

=>( i^2)^24

=> (-1)^27

=> -1

Answer this problem
-3+(-2)​

Answers

Answer:

-5

Explaination:

Because -3-2 is -5.

The answer is -5, because you are adding two negatives, the sign stays the same.

If a polynomial function f(x) has roots 4 - 13i and 5, what must be a factor of f(x)?
(x + (13- 41)
(x - (13 + 41))
(x + (4 + 131)
O (x -(4+131)

Answers

Answer:

just took the test and it's D on edge

Step-by-step explanation:

The required factor of polynomial function f(x) is (x - 4 + 13i) . Option D

Polynomial function f(x) has roots 4 - 13i and 5.
What must be a factor of f(x) is to determined.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.


Since the root of the equation is given 5,  4 - 13i.
Now the factors can be given as (x - a)(x - b) for the polynomial function.


Implies (x - 5) and (x - (4-13i))


(x - 5) and  (x -4 + 13i) is the factor of the required polynomial function that has roots 4 - 13i and 5.

Thus, The required factor of polynomial function f(x) is (x - 4 + 13i) .

Learn more about polynomial function here:

https://brainly.com/question/12976257

#SPJ6

By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0​

Answers

Answer:

p = 4

Step-by-step explanation:

A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.

The formula of a discriminant (Δ) of equation

[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]

We have the equation

[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]

substitute

[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]

subtract 64 from both sides

[tex]-16p=-64[/tex]

divide both sides by (-16)

[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]

Solve a = d+c/b for d

Answers

Answer: d = a - c/b

Plz  mark brainliest:)

how do I get the equation ?​

Answers

Answer:

you get the equation by following the given patterns. y=2×+4

Explain, using complete sentences, how a Venn Diagram could be used as a prewriting strategy to compare and contrast stocks and bonds.

Answers

A Venn diagram is helpful because it allows who ever using it easily compare and contrast and find what they have in common easily.

15 points! Please I need some help this is due ...

Answers

Answer:

The answer above is correct

solve for y on both i will give brainlizest thankssss & HURRY

2y+7x=4

6x=7-4y

Answers

Answer:

1- Y=-7/2x+2.

2. Y=-6/4+7

Step-by-step explanation:

Subtract 7x from both sides

Divide both sides by two

Add 4y to both sides

Subtract 6x from both sides

Divide by 4 on both sides

what dose a and x equal
2³x 5- (√-1) a+ 5a - 3÷ x³

Answers

The terms in which value of x when substituted leaves final value of p(x) = "0".

Here, x - 2 is factor. So value of x is 2.  

Substituting value of x we get,

p(x) = x3 - 3x + 5a

p(2) = 2*3 - 3(2) + 5a

0+ 8-6 + 5a

-2 = 5a

a= -0.4

Plz mark me as brainliest

Kaylee bought 4 chicken wings for $8. What was the cost of the wings in dollars per wing?

Answers

Answer:

2$

Step-by-step explanation:

2 x 4 = 8

hope this helps

Answer:

The answer to this question is that: each wing was $2

Step-by-step explanation:

The reason for this is because, you take the amount that she paid and divided that by the amount of wings that she bought.

3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!

Answers

Answer:

3,186,000,000,000,000

Explanation:

3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000

____________________

People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.

Because 3.186e + 15 may come out as 23.66044590547

f(x) = 2x - 6,

find f(10).

Answers

Answer:

14

Step-by-step explanation:

use the given functions to set up and simplify f (10).

if triangle ocd ≅ triangle JAL, then which of the following statements are true?

Answers

Answer:

I III and IV

Step-by-step explanation:

According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Given :

Triangle OCD ≅ Triangle JAL

The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.

So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/10629211

-0.8 x +40 - 8x -35 i need help ASAP

Answers

Answer:

-8.8x + 5

Step-by-step explanation:

See the attached picture.

Hope this helps!!!

The value of x is 0.57 in the given expression -0.8 x +40 - 8x -35

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is -0.8 x +40 - 8x -35

Minus zero point eight times of x plus forty minus eight times of x minus thirty five

-0.8 x +40 - 8x -35

Add the like terms

-0.8x-8x+40-35

-8.8x+5

Isolate the variable x

-8.8x=-5

Divide both sides by 8.8

x=5/8.8

x=0.57

Hence, the value of x is 0.57 in the given expression -0.8 x +40 - 8x -35

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2


If a system of linear equations has the unique solution (2, -3), then its graph consists of what?
•parallel lines
•lines that intersect at a single point
•identical lines
•a y-intercept at -3

Answers

a y-intercept at -3. second number in coordinates are y

Answer: B - lines that intersect at a single point

Step-by-step explanation: Just took a test

Simplify the following expression.
(5^3)^5

Answers

Answer:

5 ^15

Step-by-step explanation:

(5 ^3)^5 =5 ^(3×5)=5 ^15

Answer:  5^15

The rule used is (a^b)^c = a^(b*c)

If you raise some exponential expression to another exponent, then you multiply the exponents. You keep the base the same.

In this case, a = 5, b = 3, c = 5.

Using a calculator,

5^15 = 30,517,578,125

But it's likely your teacher will want you to keep the answer in exponential form since it's easier to work with.

Which is equal to 0.47?
CLEAR
SUBMIT
47
1,000
47
100
47
10
47

Answers

Answer: 47/100

Step-by-step explanation: 47/100 = 0.47.

The perimeter of a rectangular field is 358 m.
If the width of the field is 84 m, what is its length?

Answers

Answer:

95m

Step-by-step explanation:

So to work this out you times 84 by 2 which is 168 (84×2) and then take away 168 from 358 which is 190 (358-168). Then divide 190 by 2 which is 95 (which is the the length/Answer)

(84+84+95+95=358)

The graph shows the cost of purchasing T-shirts. Find the constant rate of change for the graph. Then explain what points (0,0) and (1,9) represent​

Answers

Answer:

See below

Step-by-step explanation:

As per the attached graph we observe that the constant rate of change is 9 as each step of horizontal change corresponds to 9 steps of vertical change

It is found as the division below:

(9-0)/(1-0) = 9/1 = 9

Point (0, 0) indicates the start point

Point (1, 9) indicates the cost of 1 t-shirt

Solution

As to the attachment graph ;

we observed that the constant rate is 9each step of horizontal change correspond to 9 steps of vertical change

Now,

according to the question

it is found as the division below ;

(9-0)/(1-0)=9/1 = 9

the point which is indicating the starting point ;

(0,0)

the point which indicate the cost of one t-shirt ;

(1,9)

Please solve x^2 − 3x = −8

Answers

Answer:it will equal 0

Step-by-step explanation:

hopes it helpes you

Answer (it has two solutions):

See photo below

I hope this helps!

12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?

Answers

Answer:

$4.5

Step-by-step explanation:

I'm gonna do my work on paper.

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x Less than or equal to 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed? Explain.

Answers

Answer:

She will leave an extra video game which weighs 0.25lb

Step-by-step explanation:

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?

Solution:

Weight of the items

hairdryer = 1.25 lb

hand-held video game = 0.6 lb

an extra video game = 0.25 lb music player = 0.4 lb

The total weight of the items

= 1.25lb + 0.25lb + 0.6lb + 0.4lb

= 2.5 lb.

Total weight - required weight

= 2.5lb - 2.25lb

= 0.25lb

2.5lb is 0.25lb greater than 2.25lb

Therefore, not all items can be added.

She has to leave out an item equivalent to 0.25lb

Item equivalent to 0.25lb is the extra video game

If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.

Answer:

The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.

Step-by-step explanation:

46 POINTS! BRAINLIEST! PLSSS HELP! ONLY ANSWER IF UR GUD AT MATH!


National Park Animal Populations

You are studying the populations of three animals in a national park. Below are the data sets for the animal populations. Circle the park that you chose:

Yellowstone

x Year

y1 Population 1, Grizzly Bears

(per square mile)

y2 Population 2, Pocket Gophers

(per square mile)

y3 Population 3, Osprey

(per square mile)

x y1 y2 y3

0 4.0 4.0 4.0

1 4.5 4.5 5.8

2 5.0 5.3 7.2

3 5.5 6.4 8.2

4 6.0 8.1 8.8

5 6.5 10.6 9.0

8 8.0 28.6 7.2

10 9.0 60.7 4.0


Everglades

x Year

y1 Population 1, American Alligator

(per square mile)

y2 Population 2, Marsh Rabbit

(per square mile)

y3 Population 3, Florida Panther

(per square mile)

x y1 y2 y3

0 6.0 6.0 6.0

1 6.5 6.5 7.8

2 7.0 7.3 9.0

3 7.5 8.4 9.8

4 8.0 10.1 10.0

5 8.5 12.6 9.8

8 10.0 30.6 6.0

10 11.0 62.7 1.0



Make Sense of the Problem

What do you want to find out?




Analyze the Data

Population 1 (y1): ______________________________ (Write the animal species' name.)

Answer the following questions about the growth function of population 1:

1. Is population 1 increasing or decreasing? (0.5 point)






2. What is the rate of change between year 0 and year 1 for population 1? What is it between year 5 and year 10? Include calculations in your answer. (2 points)







3. Predict the average rate of change from year 5 to year 6 for population 1. Use the average rate of change you found in question 2 in your prediction. (1 point)







4. What type of function best models the growth for population 1? Give a reason for your answer. (1 point)







Population 2 (y2): ______________________________ (Write the animal species' name.)

Answer the following questions about the growth function of population 2:

5. What is the maximum population per square mile during the first 10 years for population 2? (0.5 point)







6. What is the average rate of change for population 2 between years 5 and 10 (x = 5 to x = 10)? (1 point)







7. The average rate of change for population 2 changes by a common ratio (multiplication) of 1.5 each year. What type of function best models this growth? (1 point)







8. Estimate the average rate of change from year 5 to year 6 for population 2. Remember, the average rate of change for this population changes by a ratio of 1.5 each year. Show your work. HINT: First find the average rate of change from year 4 to year 5. (3 points)







Population 3 (y3): ______________________________ (Write the animal species' name.)

Answer the following questions about the growth function of population 3:

9. What is the maximum population per square mile during the first 10 years for population 3? In what year did this occur? (1 point)







10. What is the average rate of change for population 3 between years 5 and 10 (x = 5 to x = 10)? Show your work. Identify the change as an increase or a decrease. (2 points)







11. What type of function best models the growth for population 3? Give a reason for your answer. (1 point)







12. Use the graph provided. When do all three populations contain the same number of animals? (1 point)








13. Use the following graphs to verify your work on this question.


A. Estimate the average rate of change from year 5 to year 8 for population 3. Show your work. (2 points)







B. Estimate the average rate of change from year 8 to year 10 for population 3. Show your work. (2 points)







C. Based on the answers to Parts A and B, estimate the number of animals in population 3 in year 15, and give a reason for your estimate. (1 point)

Answers

Yellowstone

What do you want to find out?

-What type of function best models the population growth for each species

Population 1 (y1):

Grizzly Bears

1. Increasing

2. (4.5-4.0)/(1-0) =0.5

3. 0.5. The rate of change between year 5 to year 6 is the same as that between year 0 to year 1.

4. Linear

Population 2 (y2):

Pocket Gophers

5. 60.7 population per square mile

6. (60.7-10.6)/(10-5) =50.1/5 =10.02

7. Exponential

8. From year 4 to year 5, (10.6-8.1)/(5-4) =2.5

The estimated rate of change from year 5 to year 6:

2.5 x 1.5 =3.75

Population 3 (y3):

Osprey

9. 9 population per square mile. This occurred in year 5.

10. (4-9)/(10-5) =-5/5 =-1

This is a decrease

11. Quadratic, the numbers increase as well as decrease.

12. Circle the point where x=0 (the point where the three lines intercept)

The initial point, where x=0, y1,y2,y3 =4

13. A. (7.2-9)/(8-5) =-1.8/3 =-0.6

B. (4-7.2)/(10-8) =-3.2/2 =-1.6

C. (-1.6)-(-0.6)/(10-5) =-0.2

the formula is

-0.2*(x^2)+2x+4

Substituting x with 15,

-0.2*(15^2)+2(15)+4

=-45+30+4

=-11 population per square mile

Answer:

i was wondering and it wont let me comment- did u use any answers from the person who answered or are they all yours?

Step-by-step explanation:

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