Identify the slope (m) and y-intercept (b) of each linear equation.
52. 3x+4y=24

Answers

Answer 1

Answer:

Step-by-step explanation:

  [1]    3x - 4y = -24

  [2]    -x - 16y = -52

Graphic Representation of the Equations :

   -4y + 3x = -24        -16y - x = -52  

 

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = -16y + 52

// Plug this in for variable  x  in equation [1]

  [1]    3•(-16y+52) - 4y = -24

  [1]     - 52y = -180

// Solve equation [1] for the variable  y

  [1]    52y = 180

  [1]    y = 45/13

// By now we know this much :

   x = -16y+52

   y = 45/13

// Use the  y  value to solve for  x

   x = -16(45/13)+52 = -44/13

Solution :

{x,y} = {-44/13,45/13}


Related Questions

One to one function and value

Answers

Answer:

yes

Step-by-step explanation:

no two points have the same y value

write the equation of the line that passes through the point (2,-1) and has a slope of -3

Answers

Answer:

y=2/-1 -3

Step-by-step explanation:

Find the GCF of 6x+4 and divide

Answers

The GCF is 2
Merry Christmas

A tie-dye kit with one T-shirt costs $15. Each additional T-shirt costs $4 more. Choose the explicit formula to represent the situation.
A. an = 11 + 4n
B. an = 4 + 15n
C. an = 19 + 4n
D. an = 15 + 4(n + 1)

Answers

Answer:

a

Step-by-step explanation:

i just took the test

The explicit formula that represents the situation is [tex]a_{n}[/tex] = 11 + 4n thus option (A) is correct.

What is the pattern?

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.

As per the given,

Cost of a tie-dye kit + 1 T-shirt = $15

Additional T-shirt = $4

This, means,

Cost of a tie-dye kit + $4 = $15

Cost of a tie-dye kit = $11

The total cost with n number of T-shirts will be as,

[tex]a_{n}[/tex]  = 11 + 4n

Hence "The explicit formula that represents the situation is [tex]a_{n}[/tex] = 11 + 4n".

For more information about the pattern,

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find x intercept if y=-5x+60

Answers

Answer:

-12 bla bla bla bla bla bla bla

-12 I’m pretty sure it’s the right answer

1st correcct will get brainliest

Answers

Answer:

it s A

Step-by-step explanation:

if the two to the power of ten is on the outside, you will always need to add that to the other powers of ten

Brianliest plz thanks

Help will give brainlist!
If correct. Thanks!

Answers

Answer:

B y=0.5x-1

Step-by-step explanation:

Answer:

Y=-1/2x-1

Step-by-step explanation:

The slope is found using rise/run

Y-int can be found on the graph

Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade. How many quarts of lemonade did she make? * A. 6 1/2 B. 6 7/10 C. 7 1/2 D. 8

Answers

Answer:

B. 6 7/10

Step-by-step explanation:

We solve the above y by carrying out addition.

The quarts of Lemonade she made is calculated as:

1 2/5 quarts of syrup + 5 3/10 quarts of water

= 1 + 5 + (2/5 + 3/10)

Lowest common denominator = 10

= 6 ( 4 + 3/10)

= 6 7/10 quarts of Lemonade

Mrs Olive made 6 7/10 quarts of Lemonade


A bag contains 5 cherry, 8 orange, 2 grape, 7 bubblegum, and 3 apple
lollipops. What is the probability of choosing grape for your first lollipop
and orange for your second? (if you ARE replacing it) *
1/75
2/75
10/625
16/625

Answers

Answer:

16/625

Step-by-step explanation:

Step one:

sample space

A bag contains

5 cherry,

8 orange,

2 grape,

7 bubblegum, and

3 apple  lollipops.

sample size= 5+8+2+7+3= 25

Required:

The probability of choosing grape for your first lollipop

and orange for your second?

1. The probability of choosing the grapes lollipops

=2/25

2. the probability of choosing the orange  lollipops----Note in the second choice the sample size will reduce because the first choice was done with out a replacement

=8/24

The total is

2/25*8/25= 16/625

How do I figure this out?

Answers

I think it is permutation because I asked Siri what it meant and she said...

what’s 6/7 - 1/2? also how do i subtract fractions with unlike denominators? you don’t have to answer the 2nd question

Answers

Make this same denominator
6/7 * 2/2 = 12/14
1/2 * 7/7 = 7/14
Now subtract
12/14 - 7/14 = 5/14

6/7 - 1/2 equals 5/14.

Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.

To subtract fractions with unlike denominators, you need to find a common denominator for both fractions. The common denominator is the least common multiple (LCM) of the denominators. Once you have the common denominator, you can subtract the fractions by following these steps:

Find the LCM of the denominators: In this case, the denominators are 7 and 2. The LCM of 7 and 2 is 14.

Rewrite the fractions with the common denominator: To rewrite 6/7 and 1/2 with a common denominator of 14, you need to multiply both the numerator and denominator of each fraction by a suitable factor. For 6/7, you would multiply both numerator and denominator by 2 to get 12/14. For 1/2, you would multiply both numerator and denominator by 7 to get 7/14.

Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.

Therefore, 6/7 - 1/2 equals 5/14.

For more details of Subtract the fractions:

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Can someone please help me on this please?!

Answers

It would most likely be a you just need to draw a line that evenly distributed the plotted points and find the answer

Company A charges $18 plus $0.15 per mile what is the rate per mile charged by company A​

Answers

Answer:

The rate is $18.15 per mile.

Step-by-step explanation:

Add $18 + $0.15 and it equals $18.15.

-7 - 2 ..........................................................
..

Answers

Answer:

-9 is the answer

Step-by-step explanation:

hope it helps!

what is the expression in radical form? (5x^3 y^2) 2/8

Answers

Answer: (y^{2}x^{3}⋅5)/4

Step-by-step explanation:

Convert to Radical Form

    [tex](5x^3y^2)\frac{2}{8}[/tex]

Reduce the expression [tex]\frac{2}{8}[/tex] by cancelling the common factors.

Factor 2 out of 2.

    [tex]5x^3y^2\frac{2(1)}{8}[/tex]

Factor 2 out of 8.

     [tex]5x^3y^2 \frac{2(1)}{2(4)}[/tex]

Cancel the common factor.

     [tex]5x^3y^2 \frac{1}{4}[/tex]

Combine 5 and [tex]\frac{1}{4}[/tex].

     [tex]x^3y^2\frac{5}{4}[/tex]

Combine [tex]x^{3}[/tex] and [tex]\frac{5}{4}[/tex] .

     [tex]y^2\frac{x^3(5)}{4}[/tex]

Combine [tex]y^{2}[/tex] and [tex]\frac{x^3*5}{4}[/tex]

     [tex]\frac{y^2x^3*5}{4}[/tex]

How many different positive rotations of less than 360 degrees
will map a square to itself?
A. infinitely many
B. 1
C. 3
D. 0

Answers

Answer:

3

Step-by-step explanation:

Took quiz

PLEASE HELP ITS DUE IN 15 MINSS!!!!!
Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.

x squared plus y squared minus 16 x plus 12 y equals 21

Answers

Answer

he diameter of the circle is 22 units.

x² + y² - 16x + 12y = 21    

If this answer is correct, please make me Brainliest!

HAVE AN AMAZING DAY GOODLUCK

-Ary

This is an example of a(n)?

A) Contraction
B) Enlargement

Answers

Answer:

A) Contraction

Step-by-step explanation:

Answer:

The answer to this question is Contraction.

if x Multiplied by 7 = 21, what is x

Answers

Step-by-step explanation:

Given that x is multiplied by 7 = 21 Then

7 * x = 21

or x = 21/ 7

Therefore x = 3.

Answer:

Solution,

here,

x+7=21

x=21-7

Therefore,x=14

Consider the following equation.
9x + 3y = 6
On a recent Algebra test, Brian was asked to rewrite the equation in slope-intercept form
The slope of the equation is
The y-intercept is

Answers

Answer: The slope is -3 and the y- intercept is (0,2)

Step-by-step explanation:

I’m a little confused can someone help??

Answers

Answer:

C!

Step-by-step explanation:

83+30=113

Help this confusing no matter how any times I do it

Answers

Answer:

The variable 8. Equation is 16 + 12x = 112.

Step-by-step explanation:

We know that she spent $16 dollars on magazines, so we can put it in the equation (16 + x= ?). We also know that the total is $112, so we can also add that (16+ x= 112). We don't know how many books she got, but we do know how much they cost (16 + 12x=112. So that makes  the books the variable (X).

To find the variable we need to take out the magazines from the price. 112-16=96. Now we're left with 12x=96. Now all we have to do is divide 96 by 12, which equals 8.

Sorry everything is so long, I tried to make it short as possible

Complete the equation of the line through (-9,7)(−9,7)left parenthesis, minus, 9, comma, 7, right parenthesis and (-6,-3)(−6,−3)left parenthesis, minus, 6, comma, minus, 3, right parenthesis.

Answers

Answer:

[tex]y = -\frac{10}{3}x -23[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-9,7)[/tex]

[tex](x_2,y_2) = (-6,-3)[/tex]

Required

Determine the line equation

We start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-9,7)[/tex]

[tex](x_2,y_2) = (-6,-3)[/tex]

So, we have:

[tex]m = \frac{-3- 7}{-6 - (-9)}[/tex]

[tex]m = \frac{-3- 7}{-6 +9}[/tex]

[tex]m = \frac{-10}{3}[/tex]

[tex]m = -\frac{10}{3}[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex] ---- Point slope form of an equation

Where:

[tex]m = -\frac{10}{3}[/tex]

[tex](x_1,y_1) = (-9,7)[/tex]

[tex]y - y_1 = m(x - x_1)[/tex] becomes

[tex]y - 7 = -\frac{10}{3}(x - (-9))[/tex]

[tex]y - 7 = -\frac{10}{3}(x +9)[/tex]

Open bracket:

[tex]y - 7 = -\frac{10}{3}x -\frac{10}{3}*9[/tex]

[tex]y - 7 = -\frac{10}{3}x -10*3[/tex]

[tex]y - 7 = -\frac{10}{3}x -30[/tex]

Collect Like Terms

[tex]y = -\frac{10}{3}x -30 + 7[/tex]

[tex]y = -\frac{10}{3}x -23[/tex]

Hence:

The equation is: [tex]y = -\frac{10}{3}x -23[/tex]

Answer:

y=-10/3x-23

Step-by-step explanation:

Algebra Question that I need help in since I’m taking a test

Answers

Answer:

D, the Addition Property of Equality

Step-by-step explanation:

This is the Addition Property of Equality. The Addition Property of Equality is, "If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal." In this case, the person added 5 to both sides. The expression is still equal to what is was before. I hope this helps!

Answer:

The answer is D

Step-by-step explanation:

Kennedy had the expression 3(2x-3x+8). She simplified and rewrote the
expression 3(8+x). If any, what was her error?

Answers

Answer:

It is -3x+24

Step-by-step explanation:

2x-3x is -x or -1x

It can also be simplified further using multiplication.

3(2x-3x+8)

3(-x+8)

-3x+24

What is the value of the function y=2x−3 when x=−1?


−5

​−1​

2

3

Answers

Answer:

-5

Step-by-step explanation:

As, x = - 1

So 2(-1)-3 = - 2 - 3 = - 5

So y = - 5

Plz help convert and show work plz!
1) 60 miles per hour to feet per second
2) 2.40 Euros per kilogram to dollars per pound (1 euro =
o = $1.42)

Answers

Answer:

1) 5280 feet/sec

2)$3.41

Step-by-step explanation:

60 miles is 316800 feet, divided by 60 which is 5280 feet/sec

2)2.4x1.42 is 3.41

Drag the missing statements and reasons to the correct spot to complete the proof

Answers

Answer:

The two column proof can be presented as follows;

1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex]      [tex]{}[/tex]               Given

2. [tex]\overline{AD}[/tex] ≅ [tex]\overline{CB}[/tex]      [tex]{}[/tex]              Given

3. [tex]\overline{BD}[/tex] ≅

4. ΔABD ≅ ΔBCD      [tex]{}[/tex]     SSS

Step-by-step explanation:

Given that we have;

Segment [tex]\overline{AB}[/tex] of triangle ΔABD being congruent to the corresponding segment [tex]\overline{CD}[/tex] of triangle ΔBCD and segment [tex]\overline{AD}[/tex] of triangle ΔABD being congruent to the corresponding segment [tex]\overline{CB}[/tex] of triangle ΔBCD, and that the common segment [tex]\overline{BD}[/tex] of both triangles are congruent by reflexive property, we have that ΔABD is congruent to ΔBCD by the Side-Side-Side (SSS) rule of congruency.

x + 4 = -14 im frustraded i need an answer haha hewpppp

Answers


all u have to do is subtract 4! you do this because u want to isolate x so u subtract 4 from both sides. then you’ll have x= -18 !

Which value is included in the situation set for the inequality graphed on the number line?

Answers

Answer:

-5 is the only one. -2 would be if the circle on the line was solid, but it's an open circle so the number it's on isn't included.

I'm On that test ATM and was wondering if you could give me the aswners to numbers 7 8 9

But the awnser to that question is -5

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