Solve system of equations y=3/4x+2 5x+4y=-24

Answers

Answer 1

Answer:

[tex]\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{y=\frac{3}{4} x+2} \atop {5x+4y=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {5x+4*(\frac{3}{4}x+2)=-24 }} \right. <=>\left \{ {{y=\frac{3}{4}x+2 } \atop {5x+3x+8=-24}} \right. <=> \left \{ {{y=\frac{3}{4}x+2 } \atop {8x=-32}} \right. \\<=>\left \{ {{y=\frac{3}{4}x+2 } \atop {x=-4}} \right. <=> \left \{ {{y=\frac{3}{4}*(-4)+2 } \atop {x=-4}} \right. <=> \left \{ {{y=-3+2} \atop {x=-4}} \right. =>\left \{ {{y=-1} \atop {x=-4}} \right.[/tex]


Related Questions

solve the compound inequality 2(x-2)+7>-1 and 5-4x>9

Answers

Answer:

1) x > -2

2) x < -1

Step-by-step explanation:

1) 2(x - 2) + 7 > -1

2x - 4 + 7 > -1

2x + 3 > -1

2x > -4

x > -2

2) 5 - 4x > 9

-4x > 4

x < -1

Trey wants to earn more than $89 trimming trees. He charges $8 per hour and pays S7 in equipment fees. What are the possible numbers of hours Trey could
trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

Answer:

11 hours

Step-by-step explanation:

8t + 7 > 89

8t > 81 : subtract 7 from both sides

t > 10.125 : divide by 8 for both sides

t = 11 : estimate

Trey has to work 11 hours because 10 hours would only give him $87.

Elevator 1 in a building moved from ground position to a final position of +13 feet. Elevator 2 in the same building moved from ground to a final position of −10 feet. Which statement best describes the final positions of these two elevators? (5 points)

Question 4 options:

1)

Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below the position of Elevator 1.

2)

Elevator 1 is 13 feet below ground level, and Elevator 2 is 10 feet above the position of Elevator 1.

3)

Elevator 1 is 13 feet below ground level, and Elevator 2 is 10 feet above ground level.

4)

Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below ground level.

Answers

Answer:

Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1. We are given that Elevator 1 is "+12 feet" and Elevator 2 is "-15 feet" meaning 15 feet below that of Elevator 1 (because they said it was where it was at Elevator 1 ground level prior), so this should be your answer "A".

Step-by-step explanation:

1 a

Given that

P

=

x

+

y

.

Find

P

when:

x

=

3

and

y

=



11

Answers

Answer:

-8

Step-by-step explanation:

3-11=-8

Answer:

8

Step-by-step explanation:

The figure shown is to be painted on a road sign. Which of the following best describes the two polygons that form the figure?

A. A rectangle and an isosceles trapezoid
B. A rectangle and a rhombus
C. A rectangle and a parallelogram
D. A rectangle and an isosceles triangle​

Answers

Answer:

D: A rectangle and an isosceles triangle​

Step-by-step explanation:

A recangle for the base of the arrow, and an isosceles triangle​ to form the full arrow.

The answer will be option D which is a rectangle and an isosceles triangle.

What is an isosceles triangle?

The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.

As we can see in the figure there are one isosceles triangle and a rectangle are joined together to form an arrow.

Thus the answer will be option D which is a rectangle and an isosceles triangle.

To know more about the isosceles triangle follow

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Use the counting techniques from the last chapter. A bag contains three red marbles, three green ones, one fluorescent pink one, two yellow ones, and four orange ones. Suzan grabs four at random. Find the probability of the indicated event.
She gets at least two red ones, given that she gets at least one green one.

Answers

Using the combination formula and the probability concept, it is found that there is a 0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.

A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, the order in which the marbles are taken is not important, hence, the combination formula is used to solve this question.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

2 red from a set of 3.1 green from set of 3.1 from a set of 1 + 2 + 1 + 2 + 4 = 10.

Hence:

[tex]D = C_{3,2}C_{3,1}{C_{10,1}} = \frac{3!}{2!1!} \times \frac{3!}{1!2!} \times \frac{10!}{1!9!} = 90[/tex]

Total outcomes:

Four marbles are taken from a set of 13, hence:

[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]

Then, the probability is:

[tex]p = \frac{D}{T} = \frac{90}{715} = 0.1259[/tex]

0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.

To learn more about the use of the combination formula and the probability concept, you can check combination formula and the probability concept,

I need help with this answer PLEASE I’m stuck

Answers

Answer:

40% of airline A's flights were on time

Step-by-step explanation:

0.4=40% .the top row indicates that it was airline A. the left column indicates that it was on time.

Answer:

B

Step-by-step explanation:

happy holidays

On Tuesday morning a school cafeteria served 18 gallons of orange juice during breakfast. How many cups are in 18 gallons?

A.288 cups
B.64 cups
C.2,048
D.128 cups

Answers

Answer:

A

Step-by-step explanation:

288 cups did this before

Read in equality quality for the graph shown below use ask for your beard

Answers

Answer:

x<-3

Step-by-step explanation:

how do i get the answer for this problem. 2x+2x+2=4x+2

Answers

Combine like terms

Subtract 2 from both sides of the equation

Simplify

Subtract 4 from both sides of the equation

Simplify

Then your answer should be 0=0

Carry out the following integrals, counterclockwise, around the indicated contour​

Answers

For the first integral, z = π/4 is a pole of order 3 and lies inside the contour |z| = 1. Compute the residue:

[tex]\displaystyle \mathrm{Res}\left(\frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3}, z=\frac\pi4\right) = \lim_{z\to\frac\pi4}\frac1{(3-1)!} \frac{d^{3-1}}{dz^{3-1}}\left[e^z\cos(z)\right][/tex]

We have

[tex]\dfrac{d^2}{dz^2}[e^z\cos(z)] = -2e^z \sin(z)[/tex]

and so

[tex]\displaystyle \mathrm{Res}\left(\frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3}, z=\frac\pi4\right) = - \lim_{z\to\frac\pi4} e^z \sin(z) = -\frac{e^{\pi/4}}{\sqrt2}[/tex]

Then by the residue theorem,

[tex]\displaystyle \int_C \frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3} \, dz = 2\pi j \left(-\frac{e^{\pi/4}}{\sqrt2}\right) = \boxed{-\sqrt2\,\pi e^{\pi/4} j}[/tex]

For the second integral, z = 2j and z = j/2 are both poles of order 2. The second poles lies inside the rectangle, so just compute the residue there as usual:

[tex]\displaystyle \mathrm{Res}\left(\frac{\cosh(2z)}{(z-2j)^2\left(z-\frac j2\right)^2}, z=\frac j2\right) = \lim_{z\to\frac j2}\frac1{(2-1)!} \frac{d^{2-1}}{dz^{2-1}}\left[\frac{\cosh(2z)}{(z-2j)^2}\right] = \frac{16\cos(1)-24\sin(1)}{27}j[/tex]

The other pole lies on the rectangle itself, and I'm not so sure how to handle it... You may be able to deform the contour and consider a principal value integral around the pole at z = 2j. The details elude me at the moment, however.


[tex]{ \color{darkred}{(2+√3)+(4-√3)}} = ?[/tex]
︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎​

Answers

[tex](2 + \sqrt{3} ) + (4 - \sqrt{3} ) \\ = 2 + \sqrt{3} + 4 - \sqrt{3} \\ = 2 + 4 \\ = 6[/tex]

Answer:

6

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf(2 + \sqrt{3} ) + (4 - \sqrt{3}) [/tex]

[tex] \sf2 + \cancel {\sqrt{3} } + 4 - \cancel{\sqrt{3} }[/tex]

[tex] \sf6[/tex]

find the difderence of 3/4 and 1/28​

Answers

Answer:

5/7

Step-by-step explanation:

3/4-1/28

21/28-1/28

20/28

simplify

5/7

Factor: 3x4y3 – 48y3

Answers

Answer: 4y3(1x1 - 12)

3x4y3 – 48y3

4y3(1x1 - 12)

Ann received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.04 per pound. After buying the coffee, she had $65.88 left on her
card. How many pounds of coffee did she buy?
pounds
5
?

Answers

Answer:

3 lbs of coffee

Step-by-step explanation:

$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)

24.12/8.04 = 3

Answer:

3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.

In a cookie jar,
1
5
of the cookies are chocolate chip and
1
2
of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Which tape diagram shows the cookies that are chocolate chip?

All cookies
Chocolate
chip

All cookies
Chocolate
chip

All cookies
Chocolate
chip
Excellent!
Which tape diagram shows the cookies that are peanut butter?

All cookies
Chocolate
chip
Peanut
butter

All cookies
Chocolate
chip
Peanut
butter

All cookies
Chocolate
chip
Peanut
butter
Good work!
Use the tape diagram to solve.

Answers

well, a WHOLE is 1, which we can split in many fractions, say 5/5, 10/10 or 999/999 and so on.

we know 1/5 of the jar is chocolate chip, and there's the rest, well, the Whole jar in 5ths have to be 5/5, if we take away 1/5 from 5/5, the "rest" is 5/5 - 1/5 = 4/5.

now, we also know that 1/2 of the "rest" is peanut butter, or namely that 1/2 of 4/5 is peanut butter, how much will that be?  let's divide 4/5 by 2

[tex]\cfrac{4}{5}\div 2\implies \cfrac{4}{5}\div \cfrac{2}{1}\implies \cfrac{4}{5}\cdot \cfrac{1}{2}\implies \cfrac{4}{10}\implies \cfrac{2}{5}[/tex]

3(y+8)=2y-6 what is y=

Answers

Answer:

y = -30

Step-by-step explanation:

3 (y + 8) = 2y - 6

3y + 24 = 2y -6                Distribute the 3

y + 24 = -6                       Subtract 2y on both sides

y = -30                              Subtract 24 on both sides

c. A square that is 8 inches on a side is placed inside a rectangle that has a length of 24 inches and a width of 20 inches. What is the area of the region inside the rectangle that surrounds the square?

Answers

Area = length x width

Area of square = 8 x 8 = 64 square inches

Area of rectangle = 24 x 20 = 480 square inches

Area of rectangle surrounding the square = 480 - 64 = 416 square inches

Answer: 416 square inches

Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94 0.44 1.02 0.76

Answers

0.76 is the median.

Can i get some help with this inductive reasoning test, the answer and the explanation please. Thank you.

Answers

Answer:

8, 2.

Step-by-step explanation:

2*4 is 8 so I think line them up together and 12/6 is 2

What is the length of XY?

Answers

Answer:

  XY = 11.25

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  XY/5 = 18/8

  XY = 5(9/4) = 45/4

  XY = 11.25

help me please i'll mark as brainliest asap​

Answers

Answer:

a. A(x) = 3x² - 8x + 5

b. x = ⁸/₃

Step-by-step explanation:

a.

A(x) = shaded area

A(x) = (2x - 3)² - (x - 2)²

= 4x² - 12x + 9 - (x² - 4x + 4)

= 4x² - x² - 12x + 4x + 9 - 4

= 3x² - 8x + 5

b.

ΔABF area = ⁵/₄ cm²

A(x) = 4(⁵/₄)

= 5

Substitution:

3x² - 8x + 5 = A(x) = 5

3x² - 8x + 5 = 5

3x² - 8x = 0

x(3x - 8) = 0

3x - 8 = 0

x = ⁸/₃

x = 0

Since x > 2, x = 0 is not valid;

So, x = ⁸/₃

Stacy is selling tickets to the school play. The tickets are $7 for adults and $4 for children she sells twice as many adult tickets as children’s tickets and brings in a total of $270. How many of each kind of ticket did she sell?

Answers

Stacy sold 15 children tickets and 30 adult tickets.

The tickets are $7 for adults and $4 for children.

She sells twice as many adult tickets as children tickets and bring in a total of $270.

Therefore,

let

number of children ticket sold = x

number of adult ticket sold = 2x

7(2x) + 4(x) = 270

14x + 4x = 270

18x = 270

x = 270 / 18

x = 15

The number of children ticket sold = 15

The number of adult ticket sold = 15 × 2 = 30

learn more about algebra here: https://brainly.com/question/14569336?referrer=searchResults

The price of a bicycle is $108.00 plus 7% sales tax. What is the sales tax on this bicycle in dollars and cents?

Answers

Answer:

$7.56

Step-by-step explanation:

7% = 0.07

108.00 x 7% = $7.56

The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are possible

Answers

The different selections of one meat and one vegetable are possible are 18 selections.

Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.

Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.

So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6

= 18 selections

So, the different selections of one meat and one vegetable are possible are 18 selections.

Learn more about combination here:

https://brainly.com/question/19341024

Please hurry and answer!

This graph gives growth of a plant overtime what is the slope of the line, and what does the slope mean in situation

select from the drop down menus to correctly complete the statement

The slope is blank which means that the plant blank by blank everyday

Answers

Using the slope of the linear function, it is found that:

The slope is of 0.5, which means that the plant grows by 0.5 inches each day.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is by how much the output y changes when the input x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

x is the time in days.y is the height in inches.

Two of the points are: (0,0) and (2,1).

The slope is given by change in y divided by change in x, hence:

[tex]m = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]

Then, applying the interpretation:

The slope is of 0.5, which means that the plant grows by 0.5 inches each day.

To learn more about slopes and linear functions, you can take a look at https://brainly.com/question/16302622

Answer:

hes correct. the slope is 0.5 and it grows 0.5 inches everyday

Step-by-step explanation:

Find m< FED Im
giving this question 20 points

Answers

Answer:

180° - (61° + 61°) = 58°

Step-by-step explanation:

we can see that two sides of the angle are equilateral making it equiangular therefore the other angle is 61° and solve for <FED

movie theater charges $9 for adults and $7 for senior citizens. On a day when 325 people paid an admission, the total receipts were $2504. How many were seniors and how many were adults?

Answers

I will set it up.

Let a = adults

Let s = seniors

The first equation is a + s = 325.

The second equation is 9a + 7s = 2504.

Here is your system of equations:

{a + s = 325

{9a + 7s = 2504

Take it from here.

The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1; 1) and C (3; -4)

Answers

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25

Help help help help math math

Answers

Answer:

x = 35

Step-by-step explanation:

First, set both equations equal to each other because it is the same angle (congruent)

6x - 20 = 4x + 50

-4x and +20 to both sides of the equation and you end up with:

2x = 70

divide both sides by 2 and:

x = 35

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