Solve the simultaneous equations
4x + 2y = -1
5x – 3y = 7

Answers

Answer 1
Answer: (x,y)=(1/2,-3/2)
Answer 2

Answer:

4x-2y=-1  multiply by 3

5x-3y=7  multiply by 3

12x+6y=-3

10x-6y=14  add them

so =22x=11

   x=1/2

5(1/2)-3y=7

2.5-3y=7 take 2.5 to the other side

-3y=4.5

y=-3/2  

therefore x=1/2 and y=-3/2

Step-by-step explanation:


Related Questions

is 8/24 = 21/63 a proportion

Answers

Step-by-step explanation:

8/24 = 21/63 = 1/3

yes it's a proportion

Yes it is a proportion


In 5 years' time, Kate's father will be 3 times as old as Kate. Four years ago, her father
was 6 times as old as her. Find their present ages.

Answers

Answer: Kate = 40/3  Her father = 50

Step-by-step explanation:

Let Kate's age in the present be K

And Kate's father's age in the present be F

3(K+5) = F+5

6(K-6) = F-6

Rearrange the first equation to get

3K+15 = F+5

3K+10 = F

Substitute that into the second question

6K-36 = 3K+10-6

3K = 40

K = 40/3

So F = 3*40/3+10 = 50

Why are there two solutions for the equation |6 y| = 2? Explain.

Answers

Answer:

1/3 and -1/3

Step-by-step explanation:

6 times 1/3 = 2
because there are absolute value brackets that means that the answer can be 1/3 or -1/3 because the absolute value brackets will make it positive regardless.

An item is regularly priced at $80. It is now priced at a discount of 20% off the regular price. What is the price now?

Answers

Answer:

64

Step-by-step explanation:

80*(1-0.2)

Since the discount is 20% off,

the sale price will be 100% - 20% = 80% of the regular price.

 

80% of $80

[tex] \frac{80}{100} \times 80[/tex]

[tex] \frac{8}{10} \times 80[/tex]

[tex] \frac{4}{5} \times 80[/tex]

[tex]0.8 \times 80[/tex]

= $ 64

HOME ARITHMETIC!
HELP PLEASE

Answers

Answer:

i.formula= current unit subtract previous unit

Explain how to square a binomial.

Answers

Answer:

Put parentheses around the binomial and then expand it, and then use foil

Step-by-step explanation:

Let's say I have the binomial x+y.

(x+y)^2

(x+y)(x+y)

x^2+xy+xy+y^2

x^2+y^2+2xy

Answer: Here's what I would do using the FOIL method:
1. Multiply the first terms
2. Multiply all the outer terms
3. Multiply all the inner terms
4. Multiply the last terms
5. Combine like terms
Example problem: (x+3)^2 = (x+3) (x+3)
1. (x) (x) = x^2
2.(x) (3) = 3x
3. (3) (x) = 3x
4. (3) (3) = 9
5. Combine like terms solution:
x^2 + 6x + 9
Hope this helps please mark me BRAINIEST!


The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at the time.
A line that models the data is given by the equation $$, where $$ represents the wait time, and represents the number of staff available.

The slope of the line is -1.62. What does this mean in this situation?
it means that the scatter plots are off the chart
Is a slope of 1.62 realistic in this context?
no because it is not a coordinate and there isn't any decimals in the wait time
The $$-intercept is $$. What does this mean in this situation?
it means there's more waiting time
Is a $$-intercept of $$ realistic in this context?
no because when you try to find it it goes off the graph and isnt calculable.
Edit my response f

Answers

The slope of a linear regression is the rate of change of the line of the best fit

The interpretation of the slope is that the wait time per staff is 1.62 minutesThe slope value is realistic

How to interpret the slope

The linear regression is given as:

[tex]y = -1.62x + 18[/tex]

Where

y represents the wait timex represents the number of staff

Using the above representations, the slope means that the wait time per staff is 1.62 minutes

Also, the slope value is realistic because time can be measured in decimals

Read more about linear regressions at:

https://brainly.com/question/25987747

Please help with this, 100 points.

Answers

Answer:

Refer to the attachment for solution

Answer:

Step-by-step explanation:

Refer to the attachment for a solution

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Write the expression in simplest form.

( -11/2 x + 3) - 2 ( 11/4 x - 5/2)

Answers

Solution:

Note that:

Given expression: (-11x/2 + 3) - 2(11x/4 - 5/2)

Simplifying the expression:

(-11x/2 + 3) - 2(11x/4 - 5/2)=> (-11x/2 + 3) + (-11x/2 + 5)=> -11x/2 + 3 - 11x/2 + 5=> -22x/2 + 8=> -11x + 8

The simplified expression is -11x + 8.

[tex] \rm \: ( - \frac{11}{2} x + 3) - 2( \frac{11}{4} x - \frac{5}{2} )[/tex]

Distribute -2 through the parentheses

[tex] \rm \: ( - \frac{11}{2} x + 3) - \frac{11}{2} x + 5[/tex]

Remove the unnecessary parentheses

[tex] \rm \: - \frac{11}{2} x + 3 - \frac{11}{2} x + 5[/tex]

Calculate the difference

[tex] \rm \: - 11x + 3 + 5[/tex]

Calculate the sum

[tex] \boxed{ \mathfrak{ - 11x + 8}}[/tex]

i need help please thanks


Answers

Answer:

1+2=180(supplemental)

3+4=180

5+6=180

7+8=180

i’m pretty sure it’s 2 and 4 because supplementary angles both add up to 180

What do you mean by 184x9302

Answers

Answer:

1711568

Step-by-step explanation:

184*9302 = 1711568

Use a calculator to check your work

what is the measure of angle B ???​

Answers

I think angle B is 36° and angle A is 63°

Factor the expression completely. 5x-x^2

Answers

The GCF is x.

5x-x^2/x is 5-x.

Answer:

x(5 - x)

Step-by-step explanation:

5x - x^2

divide by x

x(5 - x)

Prove parallel lines have the same slope. Use lines f and g. Line g is a vertical translation of line f.

Please help

Answers

Answer:

The slope of both lines is 1/4.

Step-by-step explanation:

Line g is a vertical translation of line f so they are parallel.  Now find the slope of each line.

Line f  joins points (-2, 1) and (2, 2), so its slope is (2 - 1) / [2 - (-2)] = 1/4.

Line  g  joins points (-2, -1) and (2, 0), so its slope is [0 - (-1)] / [2 - (-2)] = 1/4.

The two parallel lines have the same slope.

Answer:

(1)

since a translation of a line segment is its rigid movement, vertically or horizontally.

line 's' is parallel to line 'r' since it is a translation of line 'r'  'e' units vertically ( clearly we could see that the point P' corresponding to point P in line r is shifted 'e' units upward and point Q' in line 's' is formed by shifting corresponding point Q of line 'r' e units upward).

(2)

the slope of a line is defined as the change in y-coordinates to the change in x-coordinates of the points on that line.

slope of line r=slope of line segment PQ.

coordinates of P=(m,n) and Q=(j,k)

slope of line r=slope of PQ=
k-n ÷ j-m

(3)

the slope of line s= slope of line segment P'Q'

slope of line s=slope of P'Q'=
k+e- (n+e) ÷ j-m
=

k-n ÷ j-m

(4)

as line q is a vertical translation of line 's' 3 units down.

and P'' is the image of P'.

so coodinates of P''= (m,n+e-3)

HELPPPPPPPPPPP NOW PLSSSS K12

Answers

Answer:

2

Step-by-step explanation:

Subtract -7--5=-2, there can not be a length on a rectangle of -2 so it would just be 2.

Answer:

2

Step-by-step explanation:

what is the equation of a vertical line that passes through (3, -10)

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

A vertical line is always parallel to y - axis, I.e the x - coordinates of the points on the line never changes

Therefore, the equation of the line will be ~

[tex]\qquad \sf  \dashrightarrow \: x = 3[/tex]

And on this line, for each value of y, there is same value of x ~

The required equation of a vertical line that passes through (3, -10) is x = 3

Equation of a line

The equation of a line in point slipe form is expressed as:

y - y1 = m(x-x1)

The equation of a vertical line is given as x = a

The value of a is the x coordinate of the given point. Hence the value of a  = 3

The required equation of a vertical line that passes through (3, -10) is x = 3

Learn more on equation of a line here; https://brainly.com/question/13763238

One of the legs of a right triangle measures 12 cm and the other leg measures 9 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

15cm

Step-by-step explanation:

a^2+b^2=c^2

12^2+9^2=c^2

144+81=c^2

c^2=225

c=15

15 cm

Pls see photo for explanation!

what is the slope?

HELP PLEASE RN

Answers

Take 2points

(-1,3)(2,-1)

Slope:-

[tex]\\ \tt\longrightarrow m=\dfrac{-1-3}{2+1}=\dfrac{-4}{3}[/tex]

Answer:

y=mx+b

The slope of a linear function can be calculated by dividing the difference between y-values by the difference in corresponding x-values of any two points on the line. The slope and initial value can be determined given a graph or any two points on the line.

For example if you want to use the points from the line (-2,4)  (7,-8) from the graph given to you you use the equation: m=(y2-y1)/(x2-x1) substitute the values: m= -8-4 / 7-(-2) = -1.3333

So the slope equals -1.3

The equation of the line is y = -1.3x + 2

I hope this helps.

Bike sprockets and chain.

Which of the following gear ratios will have the highest overall speed?


2.26

2.87

3.5

4.63

Answers

Answer:

4.63

Step-by-step explanation:

Answer:

The correct answer is 4.63

Step-by-step explanation:

Have a good day!

name the types of polynomial expressions​

Answers

Answer:

Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial.

[tex]#CarryOnLearning[/tex]

The Four different types of polynomials are Monomial, Binomial, and Trinomial.

10.3: Areas of Partitioned Rectangles
For each rectangle, write expressions for the length and
width and two expressions for the total area. Record
them in the table.
A
B
C
a
5
6
Х
1 1
3
علما
3
D
E
F
6
8
3x
8
рррр
6
m
5

Answers

Answer:

B) Width 1/3, Length 6 + x, Area as a product of width times length 1/3 (6+x), Area as a sum of the areas of smaller rectangles ((1/3) * 6) + 1/3x

C) Width r, Length 1+1+1, Area as a product of width times length r(1+1+1), Area as a sum of the areas of smaller rectangles r1+r1+r1

D) Width 6, Length p+p+p+p, Area as a product of width times length 6(p+p+p+p), Area as a sum of the areas of smaller rectangles 6p+6p+6p+6p

E) Width m, Length 6 + 8, Area as a product of width times length m(6 + 8), Area as a sum of the areas of smaller rectangles m6 + m8

F) Width 5, Length 3x + 8, Area as a product of width times length 5(3x + 8), Area as a sum of the areas of smaller rectangles 5(3x) + (5*8)

Step-by-step explanation:

Area would be the width times length and for the areas as the sum you would just calculate the area of the smaller rectangles and add them.

Graph ​h(x)=2sin(2x)−3​.

Use 3.14 for π.

Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Answers

Answer:

Step-by-step explanation: i took the test.

The first point is ta x= - 3.

The function h(x) has a maximum value.

The graph of the function h(x) is given below.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

h(x) = 2 sin(2x) - 3

The first point is at x = -3.

h'(x) = 4 cos(2x)

h''(x) = -8 sin(2x)

This means,

h(x) has a maximum value on the graph.

The graph of h(x) is given below.

Thus,

h(x) has a maximum value and the graph is given below.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Simplify This Equation!

Answers

Answer:

The answer is either B or D

Step-by-step explanation:

The thing I dont get is 4 squared over 4 cubed is 1/4.

A point on a pre-image is currently located at (1, -3). The pre-image is translated 3 units right and 6 units up. What are the NEW coordinates for the point after the translation? Use graph paper to sketch the translation if needed. Question 3 options: (3, 4) (4, 3) (7, 0) (-2, 2)

Answers

Answer:

3,4

Step-by-step explanation:

A serving of chickpeas contains 1,050 milligrams of potassium. How many grams of potassium is that?

Answers

Answer:

109 mg

Step-by-step explanation:

Answer:

1.05 Grams?

Step-by-step explanation:

Hope This Helps :)

Niah earns $7. 25 per hour at her part-time job that she works at 18 hours per week. To earn some extra money, Niah helps her friend out with her dog walking service. It is possible to walk more than one dog at a time, and Niah’s friend pays her $9 per dog for each half hour walked. Niah walks dogs on 3 different days this week, as listed below. What is the total amount of earnings Niah had this week? Monday: 3 dogs for 0. 5 hours Wednesday: 2 dogs for 0. 5 hours and 1 dog for 0. 5 hours Thursday: 2 dogs for 1 hour a. $175. 50 b. $195. 75 c. $202. 50 d. $220. 50.

Answers

Answer:

The answer is D.

Step-by-step explanation:

The job would give her $130.50 dollars per week. Basically m= 7.25h.

Then, Monday was $27 dollars. Wednesday was $27 as well. Thursday was $36 also. So, we just needed to add this all together. You would get $220.50. So, it would be D!

Francis buys a package of 450 plastic forks. he uses 315 of the plastic forks. What percent of plastic forks did Francis use? show your work.​

Answers

Since Francis used 315 forks out of 450 forks, we can set up a fraction like 315/450

We then want to simplify this fraction to get a percentage.

We can divide the top and bottom by 45, which is will give us a simplified fraction of 7/10, which is equal to the percent of 70%

Work to write: 315/450 = 7/10 = 0.7 = 70%

Anya is saving her allowance to purchase a bike. Anya started her savings with $10 and is saving $5 per week. Let y represent the total amount Anya has saved and x represent the number of weeks Anya has been saving.

Select two points to graph the line.
Question 8 options:
(0, 0) and (15, 10)
(0, 10) and (1, 15)
(0, 15) and (1, 10)
(0, 0) and (10, 15)

Answers

Answer: The answer for this question would be answer choice B "(0, 10) and (1, 15)". (0, 10) represents her starting amount and week saved, and (1, 15) would represent her saving for one week and having $15 total.

Hope this helps!


Anya is saving her allowance to purchase a bike.Anya started her savings with $10 and is saving $5 per week.Let y represent the total amount Anya has saved and x represent the number of weeks Anya has been saving. Hope this helped :)

what is four billion squared with the constant of 44

Answers

Answer:

decimal form: 7.04 x 10^ 20

Step-by-step explanation:

answer...

how do you put the answer in

Answers

Answer:

In what? theirs no graph or picture with the question.

Step-by-step explanation:

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