Solve the following system of equations algebraic
y=x^2+3x-29
y=2x-9

Answers

Answer 1

Step-by-step explanation:

Given equations:

       y  = x² + 3x - 29    ------ (i)

       y  = 2x - 9  ---------------- (ii)

Now to solve this problem, we must determine the value of x and y;

 Equate equations 1 and 2;

       x² + 3x - 29 = 2x - 9

       x² + 3x - 2x - 29 + 9  = 0

       x² + x - 20  = 0

       x² + 5x - 4x - 20  = 0

       x(x + 5 ) - 4(x + 5) = 0

      (x - 4) (x+ 5) = 0

       x  - 4  = 0 or x + 5  = 0

      x  = 4 or x = -5;

So;   solve for y now;

     y = 2x - 9

     input x  = 4 or x = -5;

    y  = 2(4) - 9 or y = 2(-5) - 9

    y = -1 or y = -19


Related Questions

A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?

Answers

Answer:

d

Step-by-step explanation:

Solve the equation for y. 2x−14y=1

Answers

Answer:

y = 1/7x + -1/14

Step-by-step explanation:

2x−14y+−2x=1+−2x

−14y=−2x+1

−14y /−14  =  −2x+1 /−14

A bird travels 200 meters in 50 seconds. What is its average speed?

Answers

Answer:

4 meters per second

Step-by-step explanation:

200 ÷ 50 = 4

Answer:

i have this question on my test so this is a life saver

Step-by-step explanation:

thanks

2y² - 9y - 2 + 4 (y + 1) =​

Answers

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[tex]2 {y}^{2} - 9y - 2 + 4(y + 1) = [/tex]

[tex]2 {y}^{2} - 9y - 2 + 4y + 4 = [/tex]

[tex]2 {y}^{2} - 9y + 4y - 2 + 4 = [/tex]

Collect like terms

[tex]2 {y}^{2} - 5y + 2 = [/tex]

[tex](2y - 1 )(y - 2)[/tex]

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Answer:

2y² - 5y + 2

Step-by-step explanation:

Original equation:

2y² - 9y - 2 + 4(y + 1) =​

Use distributive property

4 · y = 4y

4 · 1 = 4

Plug these values back into the equation:

2y² - 9y - 2 + 4y + 4 = ?

Combine like terms

2y² - 5y - 2 + 4

Combine more like terms

2y² - 5y + 2

That is the most simplified version

Hope this helps :)

Please consider Brainliest :)

Write an equation for the line parallel to the given line that contains C.
y =

Answers

Answer:

y=3/7x+46/7

Step-by-step explanation:

Parallel lines have the same slope. This means in the equation y=mx+b, m=3/7 for sure. Then, it gives us the point (1,7). The line has to go through this point so we plug it in: 7=3/7(1)+C. Then, we solve for C using algebra.

7-3/7=C

C=46/7

worth a brainliest I need help on a and b!! I won't be accepting any ridiculous answers and if you do answer something stupid like "I can't read it. Sorry. Too small." Or "idk haha" I won't hesitate to spam all of your answers with the same response you gave me, taking your points...

Answers

Answer:

For answer a,

the equation is -1 - 5

this equals -6

From -1 to -6 is 5

A.) The difference is 5

For answer b,

the equation is  -7 - (-3)

There are two minus signs by the -3 so that means to turn those two signs into a plus sign

- 7 + 3

Start at -7 and move to the right 3

You will end up at -4

B.) The difference is 3

HELP WILL GIVE BRAINIEST AND 60 POINTS AND 5 STARS!!!! ITS DUE IN 10-15 MINUTES I NeeD the answer to this and explain why you got ur answer using math terminology or math logic

Answers

Answer:

I'm going to say the square roo of 36

Step-by-step explanation:

If you think about it the square root of 36 is 6

the square root of 21 is 4.582

1/5 is 0.2

and 2/3 is 0.66

so with that information you can conclude that the square root of 36 has a higher value than the other numbers

.
Solve the system of equations 3x + 2y = 22 and x - 2y = -6.
solve system of equations

Answers

Answer:

x=4

y=5

Step-by-step explanation:

inform me if u cant open the image

Answer:

(4,5)

Step-by-step explanation:

I solved through substitution

3x+2y=22

x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3

Solving for x:

3x+2y=22

3x+2(1/2x+3)=22

3x+x+6=22

4x+6=22

4x=16

x=4

Solving for y:

x-2y=-6

4-2y=-6

-2y=-10

y=5

(4,5)

)If 1 gallon is equal to 4 quarts, then 6 gallons would equal ___ quarts.

Answers

Answer:

24

Step-by-step explanation:4x6

Answer:

24

Step-by-step explanation:

Plz help me with this question
10 points

Answers

9514 1404 393

Answer:

  The sequence 18

Step-by-step explanation:

After Nolan brings down a zero, the dividend Nolan will be 20, the same one he started with. So, he will get the same result he has gotten so far: the first quotient digit is 1 and the second quotient digit is 8, resulting in a new dividend of 20 (after the 0 is brought down).

The digits 18 will repeat until Nolan gets tired.

Please help me....Could you answer these 2 questions correctly?

Answers

Answer:

A

Step-by-step explanation:

for the two of them, the first answer is the answer

Answer:

#1 - First option: y + 7 =  [tex]\frac{-1}{4}[/tex](x -4)

#2 - First option: y = 2x - 5

Step-by-step explanation:

#1

Given: (x1,y1) = (4,-7) and m = [tex]\frac{-1}{4}[/tex];

To find the point slope form which is

y - y1 = m(x - x1); substitute (x1,y1) and m

y - (-7) = [tex]\frac{-1}{4}[/tex](x -4)

y + 7 =  [tex]\frac{-1}{4}[/tex](x -4)

#2

Given: points (x1,y1) = (0, -5) and (x2,y2)=(4,3)

To find the slope we use

m = [tex]\frac{(y2-y1)}{(x2-x1)}[/tex] = [tex]\frac{(3-(-5))}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Now pick a number to find b

y = mx + b

y1 = mx1 + b

-5 = 2(0) + b

b = -5

now plug into y = mx + b; which is

y = 2x - 5

. Shaniqua can read at a speed of 50 pages per hour. She reads 275 pages one weekend. How many hours does she read? PLZ HELP AND ADD WORK

Answers

Answer:

5 and a half hours

Step-by-step explanation:

How many times does 50 go in to 275

1. 50

2. 100

3. 150

4. 200

5. 250

and to get 275 you add half of 50 which is 25

Answer:

5 hours and 30 minutes.

Step-by-step explanation:

5x50=250

remainder 25

half of an hour is 30 mins and half of 50 is 25.

therefore; add the 5h and 30m to get 5h30m

i’ll mark brainliest

Answers

Answer:

A

Step-by-step explanation:

ok so pretend the 2.00 was just 2 so whats 8 divided by 2? 4 right so if we test that witht he other problems its the same so its A

Hope this helps!!!!     :D

Of the 1,740 students surveyed, 2 out of every 3 students said they prefer basketball to soccer. How many students prefer basketball?

Answers

Answer:

x=1160 HAVE A GREAT DAY!!! :D

Step-by-step explanation:

Okay! So, first you would set up a proportion

x/1740=2/3

Then you cross multiply

3x=3480

After that, you divide both sides of the equation by 3

x=1160

​The perimeter of a triangle is 43 inches. The second side is 4 times as long as the first side. The third side is 1 inch longer than the first side. What is the length of each side

Answers

Answer:

First side=7

Second side =28

Third side =8

explanation:

Perimeter of a triangle is the sum of the length of the sides of the triangle. Given that the perimeter of the triangle = 43 inches

Second side is 4 times the first side

Third side is 1 inch longer the first

Let's call the first side x

Then equation for the perimeter of the triangle is given by

x+4x+x+1=43

We solve for x

6x+1=43

6x=43-1

6x=42

x=42/6

x=7

Therefore the first side x=7, the second side is 4x= 4*7=28, third side= 1+x= 1+7=8

someone please help
i will give brainliest

Answers

Answer:

its -18 going to the right closed circle

Step-by-step explanation:

Answer: r >_ (greater than or equal to) -18

Step-by-step explanation:

You would place it on -18 :)

You’re welcome :)

what is always true about a line that Slants downward from left to right select all that apply help plz​

Answers

Answer:

A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.

Step-by-step explanation:

Which fractions are equivalent to -0.3? Select ALL that apply.

Answers

Answer:[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

The answer is negative three tenths -3/10

Write an equation, then determine the number described in the following statement: Eight less than 3 times a number is twice the sum of x and 4.

Answers

So eight (8) less than (3) times a number ( 8 - 3x) is (=) twice the sum of x (2x) and (4) so the answer would be 8 - 3x = 2x + 4

What is the slope indicated in the table below?*

X. 8 6 4 2
Y. 2 4 6 8

Answers

Answer:

-1

Step-by-step explanation:

in order to find the slope you need to look at the change in x over the change in y. x is decreasing by 2 every time, and y is increasing by 2. you now have -2/2 simplify and you get -1

Answer the question please:
The correct answer will be marked as brainliest =)
thanks xoxo

Answers

Answer:

Step-by-step explanation:

(3^2)^2*(10^3)^2= 8.1*10^7

Broken down to

81*1000000= 81,000,000

Answer:

Step-by-step explanation:

(3²)² is 9², and (10³)² is 1000² so its 9² x 1000² or 9000² or 81 million, 81000000.

Hope this helps ;D

Multiply −47(−35)(−73). Simplify your answer.

Answers

Answer: -120085

Step-by-step explanation:

What additional information is needed to show that ABC 2 ADEF by ASA?

A.AB≈DE
В.BC≈EF
с.AB ≈AC
D.AC≈DF

Answers

Answer:

AB≈DE

then, in triangle ABC&in triangle DEF

angle CAB =angle FDE

side AB= side DE

angle ABC= angle FED

So, triangle ATC≈ triangle DEF (A.S.A)

6.
The candle factory makes 225 candles per day. The candles are
sold in boxes of 5. How many boxes of candles does the
factory make each day? ** YOU MUST SHOW WORK EVEN ON
MULTIPLE CHOICE!!
A 45
B. 220
C. 450
D. 1125
A
B
D

Answers

First, you have to divide the candles by 5.

225/5 = 45

That's it, so you get your answer 45!!!!

The two triangles below are similar. What value of Q and B would make this true

Answers

Answer:

∠B = ∠Q = 26°

Step-by-step explanation:

The angles B and Q should be same, therefore:

Q = 4x + 2 and B = 15x - 64

The equation below as per above, solving for x:

4x + 2 = 15x - 6415x - 4x = 64 +211x = 66x = 6

Then the angle measures:

4*6 + 2 = 26°

The length of a rectangle is 10 more than 10 twice the width , if the perimeter is 80inches find the length the width

Answers

Answer:

The width is 10 inches

The length is 30 inches

Step-by-step explanation:

Perimeter of a Rectangle

The perimeter of a rectangle of length L and width W is calculated as follows:

P = 2L + 2W

It's given the length of a rectangle is 10 more than twice the width:

L = 2W + 10

Substituting into the formula of the perimeter:

P = 2(2W + 10) + 2W

Operating:

P = 4W + 20 + 2W

P = 6W + 20

It's given this perimeter is 80 inches, thus

6W + 20 = 80

Subtracting 20:

6W = 80 - 20 = 60

Dividing by 6:

W = 60 /6 = 10

Since :

L = 2W + 10

L = 2*10 + 10

L = 30

The width is 10 inches

The length is 30 inches

2/3x − 1/5x = x −1 equals what? I'm confused on this

Answers

Answer:

x=15/8

Step-by-step explanation:

Need answer for this.

Answers

Answer:

The equation of the line is y = (5/2)x + 5.

Step-by-step explanation:

When both line are parallel, they share the same gradient value so the equation will be y = (5/2)x + b. Next, you have to find the value of b, by substituting the coordinates into the equation :

y = (5/2)x + b

let x = -2, y = 0,

0 = (5/2)(-2) + b

0 = -5 + b

b = 5

Answer:

y=5/2x+5

Step-by-step explanation:

Since both lines are parallel they have the same slope. From y=5/2x+1, the slope is 5/2

The equation of the line passing through (-2,0) using slope intercept form is

y-y1=m(x-x1)

y-0=5/2(x--2)

y=5/2(x+2)

y=5/2x+5

can someone please help and explain ​

Answers

Answer:

Im not sure how you are supposed to answer this but they are similar by side angle side

Step-by-step explanation:

We are given that NO/OQ=PO/OM

This tells us that the sides are in a ratio.

We also know that angle NOM is equal to angle POQ

Now we have 2 sides and 1 angle thus they are similar by side angle side

I hope this helps you come up with your statements and reasons

Answer:

I think the answer is scalpel porators

Step-by-step explanation:

What is the probability, P, of an event that is certain to occur?
P=

Answers

Answer:

1

Step-by-step explanation:

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