Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24

Answers

Answer 1

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4


Related Questions

At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selected. Consider two sampling methods: with replacement and without replacement. How will the methods affect the standard deviations of the sampling distribution of the sample proportion of employees from department B

Answers

Answer:

B: Sampling without replacement will result in a standard deviation less than but close to √0.4(0.6)/500

.Step-by-step explanation:

answer on khan academy

Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex] and this can be determined by using the standard deviation formula.

Given :

At a large corporation, 6,000 employees from department A and 4,000 employees from department B are attending a training session. A random sample of 500 employees attending the session will be selected.Consider two sampling methods: with replacement and without replacement.

1) With Replacement --

The standard deviation is given by the formula:

[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}}[/tex]          ---- (1)

where the value of 'p' is given by:

[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]

Now, substitute the value of p and n in the equation (1).

[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}}[/tex]

[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(0.6)}{500}}=0.02190[/tex]

2) Without Replacement  --

The standard deviation is given by the formula:

[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}\times \left(1-\dfrac{n-1}{N-1}\right)}[/tex]          ---- (2)

where the value 'p' is given by:

[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]

Now, substitute the value of p, n, and N in equation (2).

[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}\times \left(1-\dfrac{500-1}{10000-1}\right)}[/tex]

Simplify the above expression.

[tex]\rm \hat{p} = 0.1442[/tex]

So, from the above calculation, the correct option is C) Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex].

For more information, refer to the link given below:

https://brainly.com/question/23044118

The sales Amount is 12,500.00, and 5% sales tax
a. what's is sales tax?
b. What's the total amount paid?​

Answers

Answer:

Step-by-step explanation:

a.A sales tax is a consumption tax imposed by the government on the sale of goods and services.

b.12500x5%=625

compará y ordena de mayor a menor las siguientes cantidades 23.4 ,15/20 ,32.245,.056,4/10,50/100,8/9,.009,9/1000 y 54.45​

Answers

Answer:

El orden de mayor a menor es:

54.45 ; 32.245 ; 23.4 ; 8/9 ; 15/20 ; 50/100 ; 4/10 ; 0.056 ; 9/1000

Step-by-step explanation:

El mayor número será el que tenga el mayor entero, o  si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha,  o si tienen el mismo se observa el siguiente decimal y así sucesivamente.

Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.

Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:

23.4

15/20= 0.75

32.245

0.056

4/10= 0.4

50/100= 0.5

8/9= 0.8888

0.009

9/1000= 0.009

54.45​

Entonces el orden de mayor a menor es:

54.45 ; 32.245 ; 23.4 ; 8/9 = 0.8888 ; 15/20 = 0.75 ; 50/100 = 0.5 ; 4/10 = 0.4 ; 0.056 ; 9/1000 = 0.009

Consider this system of linear equations;
y=-3x + 5
y= mx + b
Which values of m and b will create a system of linear equations with no solution?
m = -3 and b = -3
m = 5 and b = -3
m = 3 and b = 5
m = -3 and b = 5

Answers

Answer:

The values of [tex]m_{2}[/tex] and [tex]b_{2}[/tex] that will create a system of linear equations with no solution are [tex]m_{2} = -3[/tex] and [tex]b_{2} = -3[/tex].

Step-by-step explanation:

An example of a system of linear equations are two lines parallel to each other. In other words, there are two lines such that:

[tex]y = m_{1}\cdot x + b_{1}[/tex] (1)

[tex]y = m_{2}\cdot x + b_{2}[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m_{1}[/tex], [tex]m_{2}[/tex] - Slope.

[tex]b_{1}[/tex], [tex]b_{2}[/tex] - y-Intercept.

If both lines are parallel to each other, then we must observe these two conditions:

1) [tex]m_{1} = m_{2}[/tex]

2) [tex]b_{1} \ne b_{2}[/tex]

Therefore, the values of [tex]m_{2}[/tex] and [tex]b_{2}[/tex] that will create a system of linear equations with no solution are [tex]m_{2} = -3[/tex] and [tex]b_{2} = -3[/tex].

Answer:

m=-3 and b=-3 on ed

Step-by-step explanation:

just did it

Which expression is equivalent to the given expression?

8(3/4a) - 8

A. 3/4a

B. 6a

C. 8 (3/4a - 1)

D. 3/4a - 1

Answers

Pretty sure it’s option C

Find the value of EC.
13
12
E
B
EC = [?]

Answers

Answer:

8

Step-by-step explanation:

NOT 5.

_____________________

Firstly note that the radius of the circle is 13 ( centre to D )

Thus the distance from B to the centre is 13

Thus B → E → centre is a right triangle and distance from centre to E (x) can be calculated using Pythagoras' identity, that is

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x =  = 5

The distance from the centre to C ( the radius ) is 13, thus

x + EC = 13, that is

5 + EC = 13 ( subtract 5 from both sides )

EC = 8

Answer:

The answer is 8

Step-by-step explanation:


Solve for 3(2x-1)+7=6x-3-2(-4x)

Answers

Answer:

x = 1.14

Step-by-step explanation:

3(2x - 1) + 7 = 6x - 3 - 2(-4x) [Given Equation]

6x - 3 + 7 = 6x - 3 + 8x [Distributive Property]

6x + 4 = 14x - 3 [Combine like-terms]

-8x + 4 = -3 [Subtraction Property of Equality]

-8x = -7 [Subtraction PoE]

x = 1.14 [Division PoE]

UberEats claim that they will deliver the food on-time 96% of the time. During that day there were 2,750 deliveries in the city of Houston. How many of those deliveries were NOT on time?

Answers

2,750-96%=110 hope this helped :)

A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°.

How long is the dart in the air? Round to the nearest tenth

A. 0.7

B. 0.8

C. 1.5

D. 1.6

Answers

Answer:

D

Step-by-step explanation:

Plugged it into a projectile motion calc, got 1.58. So 1.6 (rounded).

Compare the two fractions using , or =. 1/2 1/4

Answers

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 > 1/4

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2= 2/4

2/4 > 1/4

Which graph represents an even function?

Answers

Answer: last graph

Step-by-step explanation: Graphs of functions that are ODD, are symmetric about the origin.

Graphs of function that are EVEN, are symmetric about y-axis.

We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.

Graph 1, 2, 3  ----  not symmetric about y-axis

Graph 4  -------  Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.

Hi, can someone help me understand how to do this.I tried and I got confused and I was confident my answers were right but I got them wrong.These problems have to do with Quadratic applications I believe.

Answers

The answer is c              Explanation :

Answer:

answer c

Step-by-step explanation:

Principal: $35000
Rate: 2%
Time: 6 Years
What is the simple interest made?

Answers

Answer:

$4200

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year,

then, solving our equation

I = 35000 × 0.02 × 6 = 4200

I = $ 4,200.00

The simple interest accumulated

on a principal of $ 35,000.00

at a rate of 2% per year

for 6 years is $ 4,200.00.

Answer:

I’m thinking $4200

Step-by-step explanation:

Because 35k at 2% for 6 years will get you that

Write the equation for line in slope intercept form, given the point (3,-7) and slope = 9.

Answers

Answer:

y = 9x - 34

Step-by-step explanation:

(3 , -7) ; slope (m) = 9

Slope intercept form:

y - y1 = m(x -x1)

y - [-7] = 9 (x - 3)

y + 7  = 9*x - 9*3

y + 7 = 9x - 27

    y = 9x - 27 - 7

    y = 9x - 34

You have already saved $55. You earn $9 per hour at your job. You are
saving for a bicycle that costs $199. What inequality represents the possible
numbers of hours you need to work to buy the bicycle?

Answers

Answer:

$55+$9x≥$199

You must work for at least 16 hours to be able to buy the bicycle.

Step-by-step explanation:

Let x represent the number of hours you need to work to buy the bicycle.

You already have $55.

⇒$55+ −−−−−≥ −−−−−

You also earn $9 per hour.

Algebraically, this can be written as 9x.

⇒$55+$9x≥ −−−−−

You need to earn at least $199 to buy the bicycle.

⇒$55+$9x≥$199

The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.

Let's find out how many hours you need to work to buy the bicycle.

Subtracting $55 from both sides of the inequality:

⇒$55−$55+9x≥$199−$55

⇒$9x≥$144

Dividing both sides by $9:

⇒$9x$9$=$144$9

∴x≥16

Therefore, you need to work at least 16 hours to afford the bicycle.

199-55= 144

144 divided by 9 is 16

16 Hours is your answer

The formula for the cost of buying a car is:
cost = 12 X monthly payment + deposit
a) Find the cost of a car when the monthly payment is £350 and
the deposit is £2000.

b) The cost of another car is £8000.
Find the monthly payment when the deposit is £2600.

Answers

Answer:

a) The cost of buying this car is of £6200.

b) The monthly payment is of £450.

Step-by-step explanation:

The cost of buying a car is given by:

cost = 12 X monthly payment + deposit

a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.

So

cost = 12*350 + 2000 = 4200 + 2000 = 6200

The cost of buying this car is of £6200.

b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.

Again, the formula is applied. So

cost = 12 X monthly payment + deposit

8000 = 12x + 2600

12x = 5400

x = 5400/12

x = 450

The monthly payment is of £450.

if sin=3 by 5 and cos =4 by 5 find tan​

Answers

Answer:

3/4

Step-by-step explanation:

[tex]tan = \frac{sin}{cos } [/tex]

=3/5/4/5

=3/5 × 5/4

=15/20

=3/4

What is the quotient of 1+ 3 Over 4 and 2 over 5

Answers

Answer:

2 1/2

Step-by-step explanation:

(These are fractions)

1+3 ÷ 2

4 5

(Simplify)

4 ÷ 2

4 5

(Same denominator)

20 ÷ 8

20 20

(Divide)

2 1/2

figure abcd is similar to figure mnkl if ab = 2x + 1, bc= 12, mn = 8, nk=7 and kl=13, what is the value of x​

Answers

Step-by-step explanation:

are this form 1 question??

Can you guys please help me !!

Answers

Answer:

EHD=57°

BEING CORRESPONDING ANGLE

Answer:

57°

Step-by-step explanation:

It's a corresponding angle so EHD is the same as EGB

please help me with this answer​

Answers

i think it’s A cuz if u add normally A is the answer u get

Answer: B. 2x^4+12x^2-8

Step-by-step explanation: x^2+4x+2 x 2x^2+3x-4

x^2 x 2x^2+4x+3x+2-4

2x^4+12x^2-8

I think its B because the question does say that you have to multiply.

3 (x + 7) = -12
x + 7 = ?
x = ?
Find out ? fast

Answers

Answer:

×=-11

Step-by-step explanation:

3x+21=-12

3×=-33

×=-11

Answer:

x=-11

x+7=-4

Step-by-step explanation:

3(x+7)=-12

3x+21=-12

3x=-12-21

3x=-33

x=-33/3

x=-11

-11+7=-4

Planets in Earth’s Solar System are grouped according to their distance from the Sun. Which choice correctly identifies an inner planet and an outer planet and their correct characteristics?

Answers

Answer:

its inner mars made of gas

and outer Jupiter made of rock

Step-by-step explanation:

i am in high school trust me

Answer:

inner venus made of rock

outer neptune made of gas

Step-by-step explanation:

inner planets are made of rock

outer planets are made of gas

inner planets: mercury, venus,earth. and mars

outer planets: jupiter,saturn,uranus and neptune

hope that helped!!!

Please help! I may have more to ask!!

Answers

Answer:

Perimeter = 26.85 in.

Step-by-step explanation:

Perimeter of a figure = Sum of the lengths of the boundaries of the figure

In the figure attached,

There is a parallelogram with side lengths 5 in, 7 in and 7 in.

And a semicircle with radius 'r' = [tex]\frac{5}{2}[/tex] = 2.5 in

Now the circumference of the semicircle = πr

                                                                    = π(2.5)

                                                                    = 7.85 in.

Now the perimeter of the total figure = 7 + 5 + 7 + 7.85

                                                              = 26.85 in.

Therefore, perimeter of the figure is 26.85 in.

The equation y = 180 + 5x represents the amount the cheerleaders will pay a company for custom stadium blankets, where x represents the number of blankets purchased and y represents the total cost in dollars.
The equation y = 10x represents the club's income from selling the blankets, where y represents the money earned in dollars and x represents the number of blankets sold. The graph below represents this situation.
Assuming that the club members sell all the stadisum blankets they purchase, when will the club make a profit?
A-When 36 blankets are sold
B-When 360 blankets are sold.
C-When 37 or more blankets are sold.
D-When 35 or fewer blankets are sold.

Answers

..........The answer is C

WILL GIVE BRAINLIEST FOR A CORRECT ANSWER:
A boat travels for 3 hours with a current of 3 mph, and returns back in 4 hours. How far did the boat travel in one way?​

Answers

Answer:

Solution:

the boat's speed in still water: x

The speed with current: (x+3)

The speed against current: (x-3)

The equation is

3(x+3) = 4(x-3)

x = 21 mph

The distance = 3*(21+3)= 72 miles

I  choose (A)

Step-by-step explanation:

Answer:

72 Miles

Step-by-step explanation:

If p= -7 and r = 1/2, what does pr - r equal

A) -4
B) -3
C) 3
D) 4

Answers

Answer:

Step-by-step explanation:

Factor the expression.

pr - r = r(p-1) = ½(-8) = -4

Answer:

-4

Step-by-step explanation:

pr = -7 × 1/2-7 × 1/2 = -3.5-3.5 - r = -3.5 - 1/2-3.5 - 1/2 = -3.5 - 0.5-3.5 - 0.5 = -4

I hope this helps!

Harriet believes that the function y = 11x is linear, while Paul believes that it is not linear. Who is right, and why?

Answers

Answer: Harriet is correct

Step-by-step explanation: Harriet is correct because if you graph it, it will turn out to be a straight line. It uses the equation y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. Hope this helps!

The temperatures at four locations are 5°, –15°, –7°, and 0°.
Which list shows these temperatures from coldest to warmest?
A. –15°, –7°, 0°, 5°
B. 0°, 5°, –7°, –15°
C. 5°, 0°, –7°, –15°
D. –15°, –7°, 5°, 0°

Answers

Answer:

A

Step-by-step explanation:

The answer is C because the lower number make it colder

57:22 5 What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4,-3)? 2 1 (-1, 1) 513 2 1 2 3 4 % Oy+3= -41%+4) Oy+3= *(** 4) Oy+3 = *(+4) Oy+ 3 = 4(x + 4) 0,-3) Mark this and return Save and Exit Next Submit​

Answers

Answer:

C. y + 3 = ¼(x + 4)

Step-by-step explanation:

✔️Find the slope of the given line:

Slope = ∆y/∆x = -(4/1) = -4

The line that is perpendicular to the given line on the graph would have a slope that is the negative reciprocal of -4.

Thus, the slope of the line that is perpendicular to the line on the graph would be ¼.

m = ¼.

Since the line passes through (-4, -3), to write the equation in point-slope form, substitute a = -4, b = -3, and m = ¼ into y - b = m(x - a)

Thus:

y - (-3) = ¼(x - (-4))

y + 3 = ¼(x + 4)

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