y = -4x - 24
y + 2x = 8
How would I solve by substitution step by step?

Answers

Answer 1

Answer:

x=-16

y=40

Step-by-step explanation:

y=-4x-24

y+2x=8

its the same y. Use substitution

(-4x-24)+2x=8

-2x-24=8

-2x=32

x=-16

We found x!

substitute x in either equation

y+2x=8

y+2(-16)=8

y-32=8

y=40

Answer 2

Answer: (-16, 40)

Step-by-step explanation: Using substitution, you can but the first y=-4x-24 into the second equation y+2x=8. So, you take what y is (which is -4x-24) and substitute it for the second y in the equation y+2x=8.

Your equation should now look like this (-4x-24) + 2x = 8.

You can then solve -4x -24 +2x =8. Combine like-terms (-4x+2x) to get -2x-24=8. Then use inverse operations and add 24 from both sides (so from the -2x-24 side and 8 side). This will then give you -2x=32. divide both sides from -2x to get:

x = -16

Then, plug in x= -16 into the first equation (y= -4 (-16) - 24). Then use PEMDAS and multiply -4 and -16 to get +64. Subtract 24 to get:

y = 40


Related Questions

I pay 25,000 for a car it depreciates at a rate of 10% what is the value of the car in 7 year

Answers

Answer:

2500

Step-by-step explanation:

3 is what percent of 75?

Answers

Answer:

4%

Step-by-step explanation:

First, we turn this into a fraction:

3/75 = 1/25 = 4%

So 3 is 4% of 75

Using the percentage expression 4 percent of the number 75 is 3.

We have,

Given percentage = M

Under the condition, an expression can be written as,

M% of 75 = 3

Solve for M.

M/100 x 75 = 3

Multiply 100 on both sides.

75M = 3 x 100

75M = 300

Divide 75 on both sides.

M = 300/75

M = 4

Cross checked.

4% of 755

4/100 x 75

4/4 x 3

1 x 3

3

True.

Thus,

4 percent of number 75 is 3.

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In a normal respiratory cycle the volume of air that moves into and out of the lungs is about 498 mL. The reserve and residual volumes of air that remain in the lungs occupy about 1990 mL and a single respiratory cycle for an average human takes about 4 seconds. Find a model for the total volume of air V(t) in the lungs as a function of time.

Answers

Answer:

The model is [tex]V(t)=2239+249\sin(\frac{\pi}{2}t)[/tex].

Step-by-step explanation:

Consider the given information.

The volume of air inside the lungs increases or decreases so for this we will use the basic sine function [tex]B(t)=d+a\sin[b(t+ \frac{c}{a})][/tex] as our parent function.

Let us assume that the phase shift is 0 it means [tex]\frac{c}{b}=0[/tex].

The air that moves into and out of the lungs is about 498 mL.

It means the amplitude of the function will vary by 249(half of 498).

The reserve and residual volumes of air that remains in the lungs occupy about 1990 mL which is the minimum air in the lungs.

So, the max air will be: 1990+498 =2488 mL

And the average will be d=1990+249=2239 ml

The horizontal stretch will be  [tex]b=\frac{2\pi}{4}=\frac{\pi}{2}[/tex] as we know that period of [tex]y=\sin t[/tex] is [tex]2\pi[/tex] and respiratory cycle for an average human takes about 4 seconds.

Hence, the model is [tex]V(t)=2239+249\sin(\frac{\pi}{2}t)[/tex].

Who know the answer to this?

Answers

Answer: A (w=2a+3)

Step-by-step explanation: The answer is A because for every week after the tiger is born it gains 2 pounds. that's the w=2a part. The +3 is there because the tiger started with 3 pounds.

Which of the following figures is a polygon?
OA
3
OD

Answers

Answer:

b

hope this helps:)

Step-by-step explanation:

B because the top is perpendicular from each other

please hurry!!!
For the class picnic, 25 liters of punch were purchased. 6 liters were left over. How many gallons of punch were used at the picnic? (1 liter is approximately 0.26 gallons)

Answers

Answer:

Gallons of punch used = 4.94 gallons

Step-by-step explanation:

Given that:

Liters of punch purchased = 25 liters

Liters of punch left over = 6 liters

Liters of punch used = 25 - 6 = 19 liters

According to the given statement;

1 liter = 0.26 gallons

19 liters = 0.26*19 gallons

19 liters = 4.94 gallons

Hence,

Gallons of punch used = 4.94 gallons

Need ASAP. Only answer if ur confident in ur answer

Answers

Answer:

360 m²

Step-by-step explanation:

surface area of a square base pyramid = base area + 4 ( triangular sides area)

where:

base = 12 m

side height length = 9 m

Surface area = 12² + 2(12)9

                     = 144 + 216

                     = 360 m²

Which equation represents the line that passes through the point (-1.2, -5.6) and has a slope of -2.9

Answers

Answer:

[tex]y+5.6 = -2.9 (x + 1.2)[/tex]

Step-by-step explanation:

Equation of straight line in point slope form is given as

[tex]y -y_1 = m(x- x_1)[/tex]  -------------(1)

Here

[tex]m =-2.9[/tex]    and  [tex](x_1, y_1) = (-1.2, -5.6)[/tex]

Substituting values in equation (1)

[tex]y+5.6 = -2.9 (x + 1.2)[/tex]

Use the information below.

• Low tide is 1 foot below the average water level.

• High tide is 5 feet higher than low tide.

Write an integer that represents the average water level relative to high tide.

The average water level relative to high tide is represented by the integer
. need help asap please I am not a college student I go to middle school.

Answers

Answer:

how is this middle school?

Step-by-step explanation:

what the heck

Emergency plsssssssssssss answer this what is 0.43 rounded to the nearest hundredth

Answers

Answer:

0.430

Step-by-step explanation:

What dose 750 divided by 30 equals what

Answers

Answer:

25

Step-by-step explanation:

30 goes into 750 25 times.

You can check your answer by multiplying 30 by 25 which equals 750. Therefore your answer is correct.

The 750 divided by 30 equals 25. This means that if we distribute 750 objects into 30 groups equally, each group would contain 25 objects.

When we divide 750 by 30, we can calculate the result as follows:

750 ÷ 30 = 25

Therefore, 750 divided by 30 equals 25. This means that if we distribute 750 objects into 30 groups equally, each group would contain 25 objects. Division is the arithmetic operation that allows us to determine how many times one number (the divisor) can be subtracted from another number (the dividend) without resulting in a negative value.

In this case, when we divide 750 by 30, we find that the quotient is 25. This represents the number of groups or units we can obtain when dividing 750 into 30 equal parts. Division is a fundamental mathematical operation used in various real-life scenarios, such as distributing resources, calculating averages, and solving ratio problems.

To know more about divided:

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Which operation would help solve for y?
y+6=52
Choose 1 answers
Adding six to each side

Subtracting six from each side
Adding 52 to each side
Şubtracting 52 from each side
After applying the correct operation to each side, what is y?
Y=

Answers

Answer:

Step-by-step explanation:

the first step is subtractiong 6 from each side

y+6=52

y+6-6=52-6

y=46

Answer: It would be Y+6=52

HELP MY HOMEWORK IS DUE IN 20 MINUTES

Answers

Answer:

c

Step-by-step explanation:

Answer:

Graph C.

Step-by-step explanation:

a function is determined by every input having a specific outpit. since each input of x has a specific answer for Y, graph C is a function.

I need help asap please

Answers

WARN ME AGAIN SEE WHAT HAPPENS I GAVE YOU A SITE AND IT WAS YOU OPTION TO IGNORE IT SO DON'T EVER DO THAT AGAIN

L O S E R  

Which of the following is equivalent to sin(30°)?
Question 2 options:
A) cos(60°)

B) cos(90°)

C) sin(60°)

D) cos(30°)

Answers

Answer:

A. cos(60°)

Step-by-step explanation:

sin(30 degrees) = 0.5

cos(60°) = 0.5

cos(90°) = 0

sin(60°) = √[tex]\frac{3}{2}[/tex]

cos(30°) = √[tex]\frac{3}{2}[/tex]

so it's A.

Ace

The sin 30° is equivalent to the expression cos 60°. Then the correct option is A.

What is trigonometry?

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The equivalent is the expression that is in different forms but is equal to the same value.

The expression is given below.

⇒ sin(30°)

We know that the formula which is written as,

sin (90° - x) = cos x

Then by the above property, the expression is written as,

sin 30° = sin (90° - 30°) = cos x

sin 30° = cos 60°

The sin 30° is equivalent to the expression cos 60°. Then the correct option is A.

More about the trigonometry link is given below.

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What is 45% of 156?
Thanks.

Answers

Answer:

45% of 156 = 70.2

The answer is 70.2 hope this helps

Below is a 6-sided dice with the numbers 1-6. What is the probability of landing on a number greater than 0?
Write your answer as a fraction. Then choose the
likelihood of the event.
Submit
Impossible
Unlikely (Less than 1/2)
Neither Likely nor Unlikely (1/2 or Even Chance)
Likely (Greater than 1/2)
Certain (100%)
HELP ILL GIVE YALL BRAINLIEST

Answers

6/1 Certain, hope this helps

Solve 3x^2−5x+8=0 using the Quadratic Formula

Answers

Answer:

The correct answer is,

[tex]x = \frac{5 + \sqrt{71i} }{6} \frac{5 - \sqrt{71i} }{6} [/tex]

there is a come between these two things.

I couldn't find the coma.

sorry.

Use the distributive property to simplify the expression 5(4x + 8)

Answers

Answer:

20x+40

Step-by-step explanation:

Hey there! first, we multiply 5 x 4x = 20x. then we multiply 5 x 8 = 40

now we add them but in the 20x there is x so we can't add them but we can write them as 20x + 40

Answer:

[tex]\huge\boxed{\sf{20x+40}}[/tex]

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac [tex]\mapsto[/tex] we multiply a times b and c

Now, simplify the given expression:

5(4x+8)

20x+40

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

If ab and cd are congruent what is the measure of chord ab

Answers

Answer:

the measure of cord AB will be same as cord CD that is 21 units

because these both are congruent

In Jasón home room 8/30 of the students like soccer best , 6/15 like volleyball best , and 5/15 like baseball best . Select true or false . A. In simplest form 2/15 of the students like soccer best , B. 3/5 of the students like volleyball best , C. 1/3 of the students like baseball best .

Answers

Answer:

False  and B

Step-by-step explanation:

WHICH ONE IS CORRECT

Answers

Answer:

its 23

Step-by-step explanation:

46 ÷ 2

= 23

divide by 2 because it says " bd bisects abc "

What value of c makes the equation true? −3−3/4(c−4)=5/4 Drag and drop the correct number in the box. c = Response area


will give brainlyst

Answers

Answer:

c = -5/3

Step-by-step explanation:

Solve using algebra.

After you do 11 steps, that is the answer.

Please mark as Brainliest!!!

PLEASEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPP


Which answer choice describes y=-3x^(2) +7x - 2 Question 9 options: opens up with a maximum opens down with a maximum opens up with a minimum opens down with a minimum

Answers

opens down with a maximumTHANK YOU !!!! AND HAVE A NICE DAY !!!

An elliptical culvert is 3.5 feet tall and 6 feet wide. It is filled with water to a depth of 0.95 feet. Find the width of the stream.

Answers

Answer:

[tex]W_s \approx5.3[/tex]

Step-by-step explanation:

From the question we are told that

Height [tex]H=3.5ft[/tex]

Weight [tex]W= 6ft[/tex]

Depth  [tex]D=0.95ft[/tex]

Generally the equation for ellipses is given as

[tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex]

Where

[tex]b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\[/tex]

[tex]\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1[/tex]

Generally to find y in the equation [tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex]

[tex]y=-b+d[/tex]

[tex]y=-1.75+0.95[/tex]

[tex]y=-0.8[/tex]

Therefore

[tex]\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1[/tex]

[tex]\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}[/tex]

[tex]\frac{x^2}{3^2} =1-0.2089795918[/tex]

[tex]X^2 =3^2(1-0.2089795918)[/tex]

[tex]X^2 =7.119183674[/tex]

[tex]X =\sqrt{7.119183674}[/tex]

[tex]X =2.66817984[/tex]

Therefore the width of the given stream is

[tex]W_s=2.66817984*2[/tex]

[tex]W_s=5.33635968[/tex]

[tex]W_s \approx5.3[/tex]

get brainliest please help

Answers

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  -3/2

Step-by-step explanation:

The line crosses grid intersections at (-1, 2), (1, -1) and (3, -4). These points are separated by 2 units horizontally and 3 units vertically.

The rise (vertical change) is -3 for each run (horizontal change) of +2, so the ratio rise/run is -3/2. That is the slope of the line: -3/2.

Simplify to create an equivalent expression, Explain why?
5(2p+1)+3(3p-1)

Answers

Bsjdhejehjevshehjejeiejdvjsjshhsnskhsd

simple math! ( i'll mark you)

Answers

Answer:

234

Step-by-step explanation:

Glad to help mark me

Answer:9,540

Step-by-step explanation:

Situe no mesmo sistema de eixos cartesianos os pontos A(1, 3), B(-2, 1), C(0, -4), D(-3, 0), E(-2, -3), F(2, -1), G(3, -4) e H(5/2, ½).

Answers

Answer:

A,D,F,E

Step-by-step explanation:

Which expression is equivalent to 15c+20?​

Answers

Answer:

5 (3 c + 4)

Step-by-step explanation:

We factor out the 5, to get 5(3c+4)

We check by distributing the 5, and we get 15c+20 which is correct!

Hope this helps

The expression equivalent to 15c + 20 is 5(3c + 4).

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is 15c + 20.

We have to find an equivalent expression of this using the distributive property.

For three numbers or expressions a, b and c, Distributive property states that,

a (b + c) = ab + ac

In the expression of 15c + 20, write each terms as a multiple of a common factor.

15c = 5 × 3c

20 = 5 × 4

15c + 20 = (5 × 3c) + (5 × 4)

              = 5 (3c + 4)

Hence the correct expression which is equivalent to the given expression is 5 (3c + 4).

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Your question is incomplete. The complete question is given below :

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