State the solution
5x-y=14 and x+3y=-10

Answers

Answer 1

Answer:

x = 2, y = - 4

Step-by-step explanation

5x-y=14

x+3y= - 10

x = - 10 - 3y

5(- 10 - 3y) - y = 14

- 50 - 15y - y = 14

-16y = 64

y = - 4

x = -10 - 3y = - 10 - 3*(- 4) = - 10 + 12 = 2

x = 2


Related Questions

Find the volume of the cone

Answers

Answer:

489.84 m3 es la respuesta

What must be added to each term of the ratio 2:3 so that it may become equal to 4:7

Answers

Step-by-step explanation:

HOPE THE ANSWER IS CORRECT AND USEFUL

HELP TIMED! WILL MARK BRAINLIEST Which table represents a liner function?

Answers

The one that goes:
X: 1,2,3,4,5
Y: 5,10,15,20,25

Answer: y= 5, 10, 15, 20, 25

Step-by-step explanation:

1, 2, 3, 4, and 5 each are 1 number apart

5, 10, 15, 20, 25 each are 5 numbers apart

the rate of change is 1/5

The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.

Answers

Answer:

Neither

Step-by-step explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

Plz sub to Rebel_IOSツ on yt!

Answer:

AB and CD are parallel

Step-by-step explanation:

AB has the slope of -2/5

let's see what slope the line CD has:

points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5

as we see AB and CD have same slope, therefore they are parallel

The perimeter of the triangle shown is 40 meters. Write an equation to represent the
perimeter and then solve for the value n.


The sides of the triangle are 11m, (2n+3)m and 16m

Answers

Answer:

15m

Step-by-step explanation:

perimeter=total distance round a figure

40m=11m+16m+2n+3m

40m=30m+2n

50m-30m=2n. 30=2n. (divide both sides by 2 to get). n=15m

40=8y
How do I solve this!?!?!

Answers

you need to find the value of y..

40=8y
40÷8=y
5=y

The value of y is 5

Answer:

y = 5

Step-by-step explanation:

40=8y

this is one step equation so you need to divide both sides by 8 to solve for y

40/8 = y

y = 5

which graph shows the solution to the system of linear inequalities x-4y< 4 y < x+1

Answers

Answer:

Third graph in the image attached

Step-by-step explanation:

Let's rewrite the first inequality:

x - 4y < 4

-4y < 4 - x

4y > x - 4

y > x/4 - 1

We can draw the line y = x/4 - 1, then all values above this line will be solution for this inequality (check first graph in the image attached)

Now, for the second inequality, we have:

y < x+1

We can draw the line y = x + 1, then all values below this line will be solution for this inequality (check second graph in the image attached)

Now, if we combine these solutions, we have the third graph in the image attached.

The crossing point can be found making the value of y from one line equal the value of y from the other line:

[tex]x/4 - 1 = x + 1[/tex]

[tex]x - x/4 = -2[/tex]

[tex]3x/4 = -2[/tex]

[tex]3x = -8[/tex]

[tex]x = -8/3[/tex]

[tex]y = x + 1 = -5/3[/tex]

The crossing point is (-8/3 , -5/3)

Answer:

its c

Step-by-step explanation:

edge

A farmer harvested 21 1/4 fewer bushels of sweet corn this year than the previous year. If the farmer's sweet corn crop is planted across 3 acres, what is the average loss per acre?

Answers

Answer: 85/12 fewer bushels per acre

Step-by-step explanation:

Hi, to answer this question we have to write an expression with the information given and solve it:

We simply have to divide the total loss (21 1/4) by the number of acres (3):

Mathematically speaking:

21 1/4 ÷3 = (21(4) +1)/4 ÷3 = 85/4 ÷ 3= 85/12 fewer bushels per acre

Feel free to ask for more if needed or if you did not understand something  

The average loss per acre is [tex]7\frac{1}{12}[/tex]

The average loss per acre = difference in bushels harvested last year and this year ÷ total number of acres

[tex]21\frac{1}{4}[/tex] ÷ 3

In order to solve this question, the mixed number has to be changed to an improper fraction.

Steps to take :  

1. Multiply the whole number by the denominator ( 4 x 21 = 84)

2. Add the numerator to the answer gotten in the previous step (84 + 1 = 85)

3. divide the number gotten in the previous step by the denominator (85/4)

[tex]\frac{85}{4}[/tex] ÷ 3

= [tex]\frac{85}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{85}{12}[/tex] = [tex]7\frac{1}{12}[/tex]

A similar question has been solved here: https://brainly.com/question/580268?referrer=searchResults



Which shows the fractions in order from greatest to least?

A. 3/6, 4/9, 3/7, 3/10
B. 3/10, 3/7,4/9,3/6
C. 3/6, 4/7,4/9,3/10
D. 3/10, 4/9,3/7,3/6

Answers

Answer:  A

Step-by-step explanation:

3/6= 0.5

4/9= 0.444

3/7= 0.428

3/10= 0.3

0.5 > 0.444....> 0.428 > 0.3

The best and correct answer that shows the fractions in order from greatest to lease is Answer choice A which is 3/6, 4/9, 3/7, 3/10 Because it makes sense

Which relationship describes angles 1 and 2?

Select each correct answer.


supplementary angles

vertical angles

complementary angles

adjacent angles

Answers

Answer:

Supplementary angles

Adjacent angles

Step-by-step explanation:

They add up to a straight line, which is 180 degrees, therefore they are supplementary.

They also share a side and the corner point, hence adjacent.

Answer: A,D              Supplementary Angles

                                  Adjacent Angles

Step-by-step explanation: K12 3.04 test

What is the vertex form of the parabola from daredevil dannys practice jump ?

Answers

Answer:

the vertex form of the parabola from daredevil dannys practice jump is: 47538

Step-by-step explanation:

2+2+3+4+45+65+3=47538 jump in the vertex of the jump but then there's a other always 564*56*75+4=47538

The vertex form of Daredevil Danny’s practice jump is y=-32/100(x-25)2+32

But daredevil danny sucked I got a 100 here is the link to my whole worksheet (cant have a link so its tinyurl . com / Danny - Daredevil)

fyi the link is without spaces

The difference of six times a number and seven results in 35.

Identify the steps necessary to solve the equation.

A.) Subtract 7, and then divide by 6.
B.) Divide by 6, and then subtract 7.
C.) Divide by 6, and then add 7.
D.) Add 7, and then divide by 6.
this is multiple choice

Answers

The difference of six times and seven results in 35.

Difference - subtract

Times - multiply

Result - answer

The subtraction of six multiplied by a number and (subtracting) seven gets you the answer of 35.

6x - 7 = 35

The answer would be...

B. Divide by 6, and then subtract by 7.

An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?

Answers

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.  

Work out the size of angle x and give reasons for your answer. Image attached.

Answers

Answer:

The answer of X would be 80°.

<FBD+100=180 (Co interior angle)

<FBD= 80

X= <FBD = 80° ( Being alternate angle)

Please help me with my question!!!

Answers

Answer: They can make 18 ornaments

Step-by-step explanation:

you make 4 and 1/2 into the common denominator of 4. So then you get 4 and 2/4 you multiply 4 by 4 to get 16 and then add it to the 2/4 to get 18/4 each takes 1/4 so you have 18(1/4)

Solve x - 3 < -1. Graph the solution.

Answers

Answer: x < 2

Explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3

to both sides of the inequality to get x < 2.

Before we graph, write your answer in set notation.

We can write this as {x: x < 2}.

It's important to understand what this means.

This means that any number less than 2 is a solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on +2.

We use an open dot because +2 is not included as a solution.

Then draw an arrow going to the left.

Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi?

Answers

gohead ask a teacher or another site

I need the same question to

ASAP PLS! WILL MARK BRAINLYEST AND 6TH GRADE MATH

Answers

Answer:

The correct answer is B!

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Which expression is equivalent to (StartFraction 4 m n Over m Superscript negative 2 Baseline n Superscript 6 Baseline EndFraction) Superscript negative 2? Assume m not-equals 0, n not-equals 0. StartFraction n Superscript 6 Baseline Over 16 m Superscript 8 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 16 m Superscript 6 Baseline EndFraction StartFraction n Superscript 10 Baseline Over 8 m Superscript 8 Baseline EndFraction StartFraction 4 m cubed Over n Superscript 8 Baseline EndFraction

Answers

Question

Which expression is equivalent to [tex]\frac{4mn}{m^{-2}n^6}[/tex]. Assuming [tex]m \neq 0; n\neq 0[/tex]

Answer:

[tex]\frac{4m^3}{n^5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4mn}{m^{-2}n^6}[/tex]

Required:

Simplify

To simplify this, we start by splitting each individual function

[tex]\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}[/tex]

From laws of indices

[tex]\frac{a^x}{a^y} = a^{x-y}[/tex]

SO, the above expression can also be expressed the same way

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}[/tex]

From laws of indices,

[tex]a^{-x} = \frac{1}{a^x}[/tex]

So,

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}[/tex]

Hence, [tex]\frac{4mn}{m^{-2}n^6}[/tex] is equivalent to [tex]\frac{4m^3}{n^5}[/tex]

Answer:

A

Step-by-step explanation:EDGE (not sure if im right let me know)

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-2 is the slope

Step-by-step explanation:

Slope (gradient)  = rise/run or (y1 - y2/x1 - x2)

We will take the points so that we have a whole number:

Therefore the two points are:

(10,0) and (30, -40)

Now the gradient;

(y1 - y2/x1 - x2)

0 - -(40) / 10 - 30

40/-20

-2/1

-2

Mark my answers as brainliest if helped thanks!

Alison is buying notebooks for school. Small notebooks cost $3 each, and large notebooks cost $5 each. If Alison needs to buy at least 12 notebooks and has no more than $45 to spend, what is the maximum number of large notebooks she can buy?

Answers

Answer:

7 large notebooks and 3 small notebooks.

Step-by-step explanation:

If you take the number 5 and keep adding it to itself you will get the number 45. This should help.Therefore the answer to this word problem would be, " Alison can buy 7 large $5 notebooks. She can also buy 3 small notebooks.

Brainliest is greatly appreciated

Answered by: SKylar

6/8/2020

12:13 PM (Eastern Time)

Answer: 9 notebooks

Step-by-step explanation:

It says “what’s the maximum of large notebooks can she buy” So basically I guess just large notebooks.

One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.

Answers

Answer:

2160

Step-by-step explanation:

1872(volume of the cube)+288(volume of the square pyramid)=

2160

v of cube= lwh

v of square pyramid= a² times h/3

please mark brainliest!

upper limit of 40 to 50

Answers

Answer:

So the class mark of class interval 30 - 40 is " 35 "

How many numbers are in the list 1,4,7...........,2005, 2008? URGENT!

Answers

Answer:

670 numbers

Step-by-step explanation:

T1=1*3-2

T2=2*3-2

T3=3*3-2

...............

Tn=n*3-2

n*3-2=2008

n*3=2010

n=2010:3

n=670 (numbers)

Answer:

2005-1=2004 so there is 2004 numbers

every 3 numbers 1 is chosen

2004/3=670

670 numbers are in between

Hope this helps

Step-by-step explanation:

Pleas please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

10/9

Step-by-step explanation:

average rate of change in 0≤x≤9

=(3-(-7))/(9-0)=10/9

Answer:

The solution is 10/9

Step-by-step explanation:

Step 1: identify the right approach:

Given a function g(x) over a period of time, to find the average rate of change of g(x) over this period of time, we divide the change in g(x) by the change in x.

Step 2: Perform the calculation:

As shown in picture,

x = 0 => g(x) = -7

x = 9 => g(x) = 3

=> The change of x over interval [0, 9] is:

x_change = 9 - 0 = 9

=> The change of g(x) over interval [0, 9] is:

g(x)_change = 3 - (-7) = 10

=> The average rate (r) of change of g(x) over interval [0, 9] is:

r = g(x)_change/x_change = 10/9

Hop this helps!

:)

Explain what a direct line segment is and describe how you would find the coordinates of point P along a directed line segment AB that partitions segment AB so that the ratio of AP to PB is 3:1

Answers

Answer:

  P = (A +3B)/4

Step-by-step explanation:

A "directed" line segment is one that has a "beginning" and an "end". The first letter of the line segment's name is the beginning; the last letter is the end.

Line segment AB begins at point A and ends at point B.

The problem statement tells you what it means to locate point P so the segment is divided in the ratio 3:1.

  AP : PB = 3 : 1

  (P -A) / (B -P) = 3 / 1

  P -A = 3(B -P) . . . . . . . . multiply by (B-P)

  P +3P = A +3B . . . . . . . add A+3P

  P = (A +3B)/4

You can find point P by filling in the coordinate values in the formula just found.

_____

Comment on the general case

If you derive the formula for P dividing the segment in the ratio m : n, you find it is ...

  P = (nA +mB)/(m+n) . . . length ratios are applied in reverse to the end points

What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

Answers

Answer:

h(x) = 4x+48

Step-by-step explanation:

Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.

Then we will make x the subject of the formula as shown:

y = 1/4x - 12

adding 12 to  both sides we have;

y + 12= 1/4x - 12 + 12

y + 12 = 1/4x

Multiplying both sides by 4 we have;

4(y+12) = x

x = 4y + 48

Substituting y for x

y = 4x+48

f^-1(x) = 4x+48

h(x) = 4x+48

Thee final expression will give the inverse of the function

Answer:

h(x) = 4x+48

Step-by-step explanation:

Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.

Then we will make x the subject of the formula as shown:

y = 1/4x - 12

adding 12 to  both sides we have;

y + 12= 1/4x - 12 + 12

y + 12 = 1/4x

Multiplying both sides by 4 we have;

4(y+12) = x

x = 4y + 48

Substituting y for x

y = 4x+48

f^-1(x) = 4x+48

h(x) = 4x+48

Thee final expression will give the inverse of the function

Triangle ABC was translated according to the rule T4.5, –6.2(x, y) to form A’B’C’ as shown. What are the coordinates of point C of the pre-image

Answers

Answer:

(-5.5, 3.2)

Step-by-step explanation:

According to the question, the data provided in the question is as follows

(x,y) = (x + 4.5 , y -6.2)

Now

(x + 4.5 , y -6.2) = (-1,-3)

Therefore

x + 4.5 = -1

So, the x equals to

= -1 - 4.5

= -5.5

Now

y - 6.2 =  -3

So, the y is

= - 3 + 6.2

= 3.2

hence, the coordinates of point C of x and y is (-5.5, 3.2)

Therefore the third option is correct

Answer:

C

Step-by-step explanation:

Trenton works for a company that is promoting its line of LED lightbulbs. He is selling boxes of the lightbulbs at a local store. A box of 60-watt bulbs costs $7.00, and a box of 100-watt bulbs costs $12.00. During the promotion, Trenton wants to sell more than 100 boxes total and make at least $1,000. The graph and the system of inequalities represent this situation, where x represents the number of boxes of 60-watt bulbs sold and y represents the number of boxes of 100-watt bulbs sold. 7x + 12y ≥ 1,000 x + y > 100 Which solution is valid within the context of the situation?
A. (90,25)
B. (40,64.50)
C. (30,80)
D. (200,-10)

Answers

Answer:

C) 30,80 PLATO

Step-by-step explanation:

This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.

Hopefully i helped and corrected the wrong answer up there!

This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80)  solution is valid within the context of the situation.

Given:

7x + 12y ≥ 1,000

x + y > 100

We need to determined the solution which  is valid within the context of the situation.

According to question,

A. (90,25)

Put this value in given both equation.

We get,

7(90) + 12(25) ≥ 1,000  

        630 + 300 [tex]\ngeqslant[/tex] 1000

   ⇒ 930 [tex]\ngeqslant[/tex] 1,000

x + y > 100

       90 + 25 > 100

   ⇒ 115 > 100

B. (40,64.50)

7(40) + 12(64.50) ≥ 1,000  

        280 + 774 [tex]\geq[/tex] 1000

   ⇒  1054 [tex]\geq[/tex] 1000

x + y > 100

       40 + 64.50 >100

   ⇒ 104.50 > 100

C. (30,80)

7(30) + 12(80) ≥ 1,000

        210 + 960 [tex]\geq[/tex] 1000

   ⇒  1170 [tex]\geq[/tex] 1000

x + y > 100

        30 + 80 = 110 >100

D. (200,-10)

7(200) + 12(-10) ≥ 1,000

       1400 -120 [tex]\geq[/tex] 1000

   ⇒ 1280 [tex]\geq[/tex]1000

x + y > 100

       200 - 10 >100

  ⇒  190>100

Therefore, the correct option is (C), (30,80)  solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).

For more details, prefer this link:

https://brainly.com/question/11897796

What is the function of f(x)

Answers

Answer:

f(x) = 5/2x+7

Step-by-step explanation:

The y intercept is 7

We have 2 points (0,7)  (2,12)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (12-7)/(2-0)

   = 5/2

We can use slope intercept form

y = mx+b

y = 5/2x+7

f(x) = 5/2x+7

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