Solve the system:
4x – 3y = -21
X=-y-14

Answers

Answer 1

Answer:

The solution for the system of equations is

x=2,y=−2

Explanation:

4x−3y=14.....equation (1)

y=−3x+4.....equation (2)

Solving by substitution

Substituting equation 2 in equation 1

4x−3⋅(−3x+4)=14

4x+9x−12=14

13x=14+12

13x=26

x=2

Finding y by substituting x in equation 1

4x−3y=14

4⋅2−3y=14

8−3y=14

8−14=3y

3y=−6

y=−2

Answer 2

Answer:X=−4x/3−21

                 y=4x/3+7

Step-by-step explanation:


Related Questions

what is the correct formula for density
A. density = mass - volume
B. density = volume / mass
C. density = mass / volume
D. density = mass + volume

Answers

Answer:

C. density = mass / volume

Step-by-step explanation:

C. density = mass / volume

PLEASE HELP ME! There is a picture.

Answers

B. 1/40 gal.

If 20 desks were done with a half gallon then you would divide 1/2 by 20 and get 1/40.

Answer:

B

Step-by-step explanation:

1/2=20 * t

t=1/2 * 1/20

t=1/40

Brainliest pleasr

How many milliliters are in 12.34 liters?

Answers

Answer:

12340milliters

Step-by-step explanation:

is the right answer

Answer:

12.34 liters  = 12340 milliliters

Step-by-step explanation:

if a1=7 and an=an-1+5 than find the value of a5


.

Answers

Answer:

a₅=27.

Step-by-step explanation:

1) according to the condition the given subsequence is arithmetic sequence. It means, the a₁=7 and d=5, then

2) a₅=a₁+4*d; => a₅=7+4*5=27.

Craig says that the dot on this number line shows. 1 thirds
do you agree with Craig explain why or why not

Answers

The dot on the number line, that Craig says shows a value of one third

is halfway between 0 and one half which is one quarter therefore;

The number line indicates 1/4 rather than 1/3

How can the values on the number line be found?

A possible number line obtained from a similar question posted on a

website online is attached;

From the attached drawing, we have, that the half-way marking between

1 and 0 is 2/3, and the half way between 0 and 2/3 is 1/3. However, half

between 0, and 1 is 1/2

Therefore, the half-way marking should be 1/2 rather than 2/3

Which gives;

The dot on the number line shows the half distance between, 0, and 1/2, which is 1/4 rather 1/3

Learn more about distances on the number line here;

https://brainly.com/question/11295918

Find the slope A(5, 4) and B(2, 10)

Answers

Answer:

-2

Step-by-step explanation:

Work out 1/4 + 2/3 - 1/6

Answers

Answer:

it is 0.75 (1/4)+ (2/3)-(1/6)=0.75=3/4

If​ $1 in U. S. Dollars is equivalent to 0. 1277 chinese yuan ​, convert ​$ 11,000to yuan

Answers

Answer:

$11,000 = 1404.7yuan

Step-by-step explanation:

$1 = 0.1277 yuan (multiply both sides by 11,000)

$1 × 11,000 = 0.1277 × 11,000 yuan

$11,000 = 1404.7 yuan

Evaluate -3x4-6. .............................................................

Answers

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

What is 4x greater than or equal to -9

Answers

Answer:

-36

Step-by-step explanation:

4 x -9 = -36

This is how I interpreted the question, feel free to correct me if I am wrong.

One-third of a number y is equal to 15.
Find the value of y.

Answers

Answer:

5

Step-by-step explanation:

The answer is 45
It can be rewritten as: 1/3y=15
Multiply both sides by 3
You get 45

What is the factored form of the polynomial? x2 − 12x 27?

Answers

Answer:

= x^2 -9x-3x+27

= x (x-9) -3 (x-9)

= (x-3) (x-9)

Summer got 12 multiple choice and four constructed response questions correct. Summer scored eight points more than Kerry who got 10 multiple-choice and three constructed response questions correct. Enter an equation that shows how much each multiple-choice question (m) and each constructed response question (c) is worth.

Answers

Answer: 2m + c  =4

Step-by-step explanation:

Let m = Number of multiple-choice questions

c = Number of constructed response questions

For Summer,

Total marks = 12m + 4c

For kerry,

Total marks = 10m+3c

Summer scored eight points more than Kerry implies

12m + 4c = 4+(10m+3c)

⇒ 12m + 4c =  4+ 10m+3c

⇒  12m + 4c - 10m-3c =4

⇒  2m + c  =4

Hence, required equation that shows how much each multiple-choice question (m) and each constructed response question (c) is worth. :

2m + c  =4

Seventy-five students randomly selected from the junior class at a high school were given a survey asking how much time they spent studying for a math test. Assume the population is normally distributed. The population is The sample is.

Answers

Population is like superset of sample. The population and sample for this case are:

Population is: The junior class' students of the considered high schoolSample is: Those 75 randomly selected students.

What is the difference between population and sample?

The difference between population and sample is that sample is taken from the population.

Why do we do sampling?

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population.

For this case, we have:

75 students were randomly selected from the junior class at a high school.

Since 75 students were selected from junior class, thus:

the population was: The junior class' students of that high schooland, the sample was: Those 75 randomly selected students.

Learn more about sampling here:

https://brainly.com/question/24842573

Answer:

Step-by-step explanation: second part is 15-55

what's the answer to
|X-9|=13
x=_or x=_ ​

Answers

Answer:

Step-by-step explanation:

x=4

Answer: x= 22, -4


Hope this helps

ln
4y5
x2


ln 4 - 2 ln x - 5 ln y

ln 4 - 2 ln x + 5 ln y

-8 ln x + 5 ln y

Answers

Answer: B in 4 - 2 in x + 5 in y

Step-by-step explanation:

Please help! Explanations are most recommended but pleas hurry

Answers

Answer:

twelve twenty four thirty two lol

find the amount Anita borrowed from a finance company if she paid RS.3600 as interest for 3 years at 3% interest per annum.

Answers

Lets see

Interest=I=3600Rate of interest=R=3%Time=T=3yrs

Principle=P

[tex]\\ \rm\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \rm\longmapsto P=\dfrac{100I}{RT}[/tex]

[tex]\\ \rm\longmapsto P=\dfrac{360000}{9}[/tex]

[tex]\\ \rm\longmapsto P=Rs.40000[/tex]

Solution:

We know that:

Interest = ₹ 3,600Time = 3 yearsRate = 3%

Let "P" represent the money Anita borrowed.

[tex]\dfrac{\text{P} \times 3 \times 3}{100} = 3,600[/tex]

[tex]\rightarrow \dfrac{\text{P} \times 9}{100} = 3,600[/tex]

[tex]\rightarrow \dfrac{\text{P} }{100} = 400[/tex]

[tex]\rightarrow \ \text{P }= \text{R.S} \ 40000[/tex]

Find the slope. Plot the points (-2,5) (1, 4).​

Answers

Answer: y= 13/3−x/3

Step-by-step explanation:

The slope of a line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

We have that x1=−2, y1=5, x2=1, y2=4.

Plug the given values into the formula for a slope: m=4−(5)1−(−2)=−13.

Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).

b=5−(−13)(−2)=13/3

Finally, the equation of the line can be written in the form y=b+mx:

y=13/3−x/3

Answer:

-1/3

Step-by-step explanation:

Complete the table below: Show all your work.

Answers

y = (-2) - 6 = -8

y = (-1) - 6 = -7

y = (0) - 6 = -6

y = (1) - 6 = -5

y = (2) - 6 = -4

-2 = -8

-1 = -7

0 = -6

1 = -5

2 = -4

Which numbers complete the blanks when solving the equation cos(x+2pi)= -(square root of 2/2) over the interval [0, 2pi]?

Answers

Answer:

1, 0

Step-by-step explanation:

Let [tex]\cos (x+2\pi) = -\frac{\sqrt{2}}{2}[/tex]. From Trigonometry we remember the following identity:

[tex]\cos (a+b) = \cos a \cdot \cos b - \sin a \cdot \sin b[/tex] (Eq. 1)

Where [tex]a[/tex] and [tex]b[/tex]  are angles measured in radians.

Then, we proceed to expand the given expression:

[tex]\cos x \cdot \cos 2\pi - \sin x \cdot \sin 2\pi = -\frac{\sqrt{2}}{2}[/tex]

[tex]\cos x \cdot 1 - \sin x \cdot 0 = -\frac{\sqrt{2}}{2}[/tex]

[tex]\cos x = -\frac{\sqrt{2}}{2}[/tex]

Therefore, correct answer is "1, 0".

Answer:

A 1;0

Step-by-step explanation:

help my lil cousin with her work

Answers

Answer:

4. obtuse

5. obtuse

6. acute

7. acute

8. obtuse

Step-by-step explanation:

4. This angle is greater than a right angle (because it extends farther than one), so this is obtuse.

5. This angle is greater than a right angle, so this is obtuse.

6. This angle is smaller than a right angle (because it extends less than one), so this is acute.

7. This angle is smaller than a right angle, so this is acute.

8. This angle is greater than a right angle, so this is obtuse.

Notice that the original recipe calls for 1/4 cup of water. If you put in 3/8 cup of water, by how much have you multiplied the original recipe? How many people will your new recipe serve?

Please Help Me!!!!

Answers

Answer:

multiply by 12 and would serve 18 people

Step-by-step explanation:

I did a test for it

Answer:

We multiplied the original recipe by 3/2 or 1 1/2, the new recipe will serve 18 people.

Step-by-step explanation:

to get 1 to 3 you multiply it by 3 and to get 4 to 8 you multiply it by 2 so you end up with 3/2 or 1 1/2

hello this is the last question but I dont get it pls help!!

Answers

i think it’s distributive property

Just need help here pls

Answers

Answer:

[tex]k=6, k=-1[/tex]

Step-by-step explanation:

                         [tex]\dfrac{k+3}{3}-\dfrac{2}{k-5}=1[/tex]

[tex]\implies \dfrac{(k+3)(k-5)}{3(k-5)}-\dfrac{3 \cdot 2}{3(k-5)}=1[/tex]

[tex]\implies \dfrac{k^2-2k-15-6}{3(k-5)}=1[/tex]

[tex]\implies k^2-2k-21=3k-15[/tex]

[tex]\implies k^2-5k-6=0[/tex]

[tex]\implies (k-6)(k+1)=0[/tex]

[tex]\implies k=6, k=-1[/tex]

ANSWER FOR POINTS just doing this for people who dont know alot

Answers

Answer:

Thanks for the points! <3

Find the sum.

14.3 + 21.5 =

Answers

the answer should be 35.8 :)


Zane is planting an herb garden and goes to the garden center to buy plants. 18 of the plants
are rosemary plants, and 20 of the plants are plants of other types.
What is the probability that one plant randomly selected from the garden center will be a
rosemary plant? Write your answer as a fraction or whole number.

Answers

Answer:

P (rosemary) = 9/19

Step-by-step explanation:

Given :-

18 of the plants are rosemary20 plants are of other types

To Find :-

Probability of selecting a rosemary plant

Solving :-

Total No. of plants = 18 + 20 = 38 plantsP (rosemary) = No. of rosemary / No. of total plantsP (rosemary) = 18/38P (rosemary) = 9/19

Need help again, due on Fri. Thank you in advance!!

Irrelevant answers will be deleted.​

Answers

Answer:

Step-by-step explanation:

6) √48, √12

√48 = √4² x 3 = 4√3

√12 = √2² x 3 = 2√3

= 4√3, 2√3

7) √28, √63

√28 = √2² x 7 = 2√7

√63 = √3² x 7 = 3√7

=2√7, 3√7

8) ⁴√32, ⁴√162

⁴√32 = ⁴√2⁴ x 2 = 2 ⁴√2

⁴ √162 = ⁴√3⁴ x 2 = 3 ⁴√2

=2 ⁴√2, 3 ⁴√2

9) ∛40, ∛135

∛40 = ∛2³ x 5 = 2∛5

∛135 = ∛3³ x 5 = 3∛5

=2∛5, 3∛5

10) √8, √200

√8 = √2² x 2 = 2√2

√200 = √10² x 2 = 10√2

=2√2, 10√2

-{ModPatrol}

***Find the Area of the circle when the diameter is 35/2 *
270 cm^2
240.4 cm^2
140.6 cm^2
170 cm^2

WILL GIVE 100 POINTS

Answers

Answer:

its the 2nd one

Step-by-step explanation:

The answer is 240.4cm^2

Or the second one

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