What are the solutions to the system?

y = x2 + 5x – 9

y = 2x + 1

Answers

Answer 1
Use gauth math give u every answer possible and it’s free and works every time and shows work
Answer 2

Answer:

x= -5, 2

Step-by-step explanation:

set them equal to each other: [tex]x^{2}+5x-9=2x+1[/tex]

subtract 2x from both sides: [tex]x^{2} +3x-9=1[/tex]

subtract 1 from both sides to make it equal to zero: [tex]x^{2} +3x-10=0[/tex]

find which 2 factors of -10 equal 3: 5 and -2

plug it into: [tex](x +?)[/tex]:  [tex](x+5) (x -2)[/tex]

set both equations to zero: [tex]x +5=0[/tex]         [tex]x-2=0[/tex]

solve:  {x| x=-5, 2}


Related Questions

Ameer uses \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction of a bottle of shampoo to give each of his dogs a bath. He has 555 dogs all together.

Answers

Answer:

138 3/8

Step-by-step explanation:

total shampoo used for 555 dogs = 1/4 x 555 = 138 3/8 bottles

Helpp plsss I neeed to finish this test ASAP plssssssss thank youu helpp me with this question

Answers

Answer:

try 19.8

Step-by-step explanation:

helppppppppp meeeeeeeeeeeee
hurry

Answers

Answer:

9 feet im pretty sure

Step-by-step explanation:

Answer:

yolo

Step-by-step explanation:

I need help finding the anwser for 52 divided (13 x 2)

Answers

Answer:

52÷(13x2) 13×2 = 26 52÷26=2

Create an equation which contains the solution (-1,3)

Answers

An equation 6x-(-2)y=0 where x = -1 and y = 3

Answer:

3x + y =0

Step-by-step explanation:

We need to create equation whose solution is (-1,3) . So let another point through which it passes be ( 0,0) .

Since at least two points are required for making a line .

Slope :-

=> m = -1-0/3-0

=> m = -1/3

Using point slope form :-

=> ( x - x1) = m( y - y1)

=> ( x - (-1)) = -1/3( y - 3)

=> (x + 1 )3= -y + 3

=> 3x +3 = -y + 3

=> 3x + y = 0

✔️ Checking :-

(-1,3)

=> 3(-1) + 3 = 0

=> -3+3=0

=> 0 = 0

Hence the equation can be 3x + y = 0 .


Explain how to find the volume of the four ice cubes in the glass below if each ice cube is 2 inches wide. Pls help

Answers

The total volume of the ice cubes is 32 in^3

We know that, for a cube of side length L, the volume is:

V = L^3

So if we know that each of the ice cubes is 2 inches wide, we can see that the side length of each ice cube is 2 inches.

Then we have L = 2in

Then the volume of each ice cube is:

V = (2in)^3 = 8 in^3

And we have four of these, then the total volume is 4 times the volume of a single ice cube.

Total volume = 4*( 8 in^3) = 32 in^3

If you want to read more about this topic, you can see:

https://brainly.com/question/24328827

20 points! pls helppppp it's almost recognition day for me!!

I'm sorry but i'm bad at math ;-;

using the given figures, find the values of the unknown variables

(PROVING ISOSCELES TRAPEZOID)​

Answers

1. x = 21, y = 103
2. x = 32, y = 52
3. x = 4, y = 5
assuming that all the shapes are regular

The radius of a circle is 13 yards. What is the circle's area?
r=13 yd
Use 3.14 for a.
square yards
Submit

Answers

Answer:

530.66 yards squared

Step-by-step explanation:

[tex]Area=\pi r^{2}[/tex]

Area = 3.14(13x13) = 530.66

Answer:

Area = 3.14(13x13) = 530.66

Step-by-step explanation:

brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

Answers

Answer:

D

Step-by-step explanation:

I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.

7. Murray spins the pointer of the spinner shown at the right
a. What is the sample space for the probability model?
b. What is the probability of each event in the sample space?

Answers

Answer:

a)

Sample Space of Probability model is - S' = { [tex]\frac{1}{4}[/tex] , [tex]\frac{1}{4}[/tex] , [tex]\frac{1}{4}[/tex] , [tex]\frac{1}{4}[/tex] }

b)

Probability of Event 1 , P(1) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Probability of Event 2 , P(2) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Probability of Event 3 , P(3) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Probability of Event 4 , P(4) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Step-by-step explanation:

Given - Murray spins the pointer of the spinner as shown .

To find - a. What is the sample space for the probability model?

              b. What is the probability of each event in the sample space?

Proof -

The Sample space is the set of all possible outcomes.

So,

Sample space becomes -

S = { 3, 5, A, Y, 3, 5, A, Y}

Total number of outcomes, n(S) = 8

Now,

We can see that There are 4 types of event

Event 1 : 3

Event 2 : 5

Event 3 : A

Event 4 : Y

So,

Probability of Event 1 , P(1) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Probability of Event 2 , P(2) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Probability of Event 3 , P(3) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Probability of Event 4 , P(4) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Now,

Sample Space of Probability model is -

S' = { [tex]\frac{1}{4}[/tex] , [tex]\frac{1}{4}[/tex] , [tex]\frac{1}{4}[/tex] , [tex]\frac{1}{4}[/tex] }

∴ we get

a)

Sample Space of Probability model is - S' = { [tex]\frac{1}{4}[/tex] , [tex]\frac{1}{4}[/tex] , [tex]\frac{1}{4}[/tex] , [tex]\frac{1}{4}[/tex] }

b)

Probability of Event 1 , P(1) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Probability of Event 2 , P(2) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Probability of Event 3 , P(3) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Probability of Event 4 , P(4) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

I need answering this question ‍♀️

Answers

Answer:

F= frequency

WL= Wavelength

the larger the wavelength the shorter the frequency and vise versa.

F: 1.5 - WL:6

F: 3 - WL: 2

F: 4 - WL: 2.5

F: 14 - WL: .5

What is the length of the line?
Choose 1 answer:

Answers

Answer:

√29

Step-by-step explanation:

We can use the pythagorean theorem to find the length of this line. You can draw a vertical line downwards from the higher point and a horizontal line towards the left from the lower point. This will create a right triangle. Wd can count the lengths of the legs, getting 2 and 5. We can substitute these values in the pythagorean theorem:

a^2 + b^2 = c^2

2^2 + 5^2 = c^2

4 + 25 = c^2

c^2 = 29

c = √29

Since c is the hypotenuse and is the same length of the line, the line is √29 units long

What makes a right trapezoid unique from all the other trapezoids

Answers

Answer:

A right trapezoid is a trapezoid in which one of the sides is perpendicular to the two bases: In this special case, if you know the length of the perpendicular side, that's the same as the altitude of the trapezoid.

Which of the following would use a histogram to represent the data?
speed of car
state of license on car
type of car
car color

Answers

Speed of car... I believe

Answer:

Speed of car most likely

Step-by-step explanation:

What is the slope of (-3,-2) (7,2)?

Answers

Answer:

The slope is 2/5

Step-by-step explanation:

To find the slope, you must subtract the second Y-Axis from the first Y-Axis then the second X-Axis from the first X-Axis. Then simplify.

Problem: (-3,-2) (7,2)

Solution: -2 - 2 = -4 , -3 - 7 = -10 = -4/-10 = 2/5

Mark me as brainliest!!

The graph of a linear equation passes through the points (-4,1) and (4,6)

HELP!

Answers

Answer:

a) (0, 3.5)

b) (12, 11)

Step-by-step explanation:

The points through which the graph of the linear equation passes are;

(-4, 1) and (4, 6)

The slope of the equation of a straight line passing through points (x₁, y₁), and (x₂, y₂), 'm', is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

∴ The slope of the equation, m = (6 - 1)/(4 - (-4)) = 5/8 = 0.625

The equation of th line in point and slope form is therefore;

y - 1 = 0.625·(x - (-4))

∴ y = 0.625·(x - (-4)) + 1 = 0.625·x + 3.5

y = 0.625·x + 3.5

Therefore;

a) When x = 0, y = 0.625 × 0 + 3.5 = 3.5

∴ The point (0, 3.5) is a solution

b) When x = 12, we have, y = 0.625 × 12 + 3.5 = 11

∴ The point (12, 11) is a solution

However;

c) When x = 8, we have, y = 0.625 × 8 + 3.5 = 8.5

∴ The point (8, 5) is not a solution

d) When x = -6, we have, y = 0.625 × (-6) + 3.5 = -0.25

∴ The point (-6, 0) is not a solution

Therefore;

The points which are solutions are;

(0, 3.5) and (12, 11)

What is the equation of the line that is perpendicular to the line y=3/4x - 6 and passes through the point (-3,5)?

Answers

Answer:

[tex]y=-\frac{4}{3}x+1[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals of each other (ex. -1/3 and 3, 1/2 and -2, etc.)

1) Determine the slope (m)

[tex]y=\frac{3}{4} x - 6[/tex]

Looking at the given equation, we can identify clearly that [tex]\frac{3}{4}[/tex] is in the place of m, making it the slope of the line. Because perpendicular lines always have slopes that are negative reciprocals, we know that the slope of the line we're solving for will be [tex]-\frac{4}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{4}{3}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{4}{3}x+b[/tex]

Plug in the given point (-3,5)

[tex]5=-\frac{4}{3}(-3)+b\\5=4+b[/tex]

Subtract 4 from both sides

[tex]5-4=4+b-4\\1=b[/tex]

Therefore, the y-intercept is 1. Plug this back into [tex]y=-\frac{4}{3}x+b[/tex]:

[tex]y=-\frac{4}{3}x+1[/tex]

I hope this helps!

Henry spent 37.88 at the grocery store.he know has 26.92 left .how much money did Henry originally have?

Answers

Answer:

64.8

Step-by-step explanation:

37.88+ 26.92

64.80

Answer:

He had 64.8

Step-by-step explanation:

Just add 37.88 and 26.92 together :)

37.88

+26.92

  64.8

Hope it helps!! :D

The longest sides of a right triangle is called the?

Answers

Answer:

hypotenuse

Step-by-step explanation:

Answer:

HYPOTENUSE

Step-by-step explanation:

No need to explain

°^°

The circumference of a circle is 69.08 yards. What is the circle's radius? Use 3.14 ​

Answers

Answer:

r = 11

Step-by-step explanation:

C = 2πr

69.08 = 2(3.14)r

69.08 = 6.28r

r = 69.08/6.28

r = 11

Someone help me with this pls

Answers

Answer:

5-² is your correct answer

Answer:

=5^10/5^12

= 5^10-12

=5^-2

What is 311.0176 rounded to the
hundredths?

Answers

Answer:

311.02

Step-by-step explanation:

311.017 rounds to 311.02

Answer:

311.0200 thai is the answer because you are rounding to the nearest hundredths

One bunch of seedlees black grapes costs
$2. How many bunches of seedless black
grapes can you buy for $16?

Answers

Answer:

8

Step-by-step explanation:

16/2 =8

Replace variables with values and
evaluate using order of operations:
D = WT2
W = 70
T = 4

Answers

Answer:

742

Step-by-step explanation:

W+T =74

mark it as the brainliest

How long could a student take to paint their canvas if they are slower than 75% of the other students?

Answers

Answer:

multiply the other kid's time by 3/4

Step-by-step explanation:

there's some info missing but hope this helps!

What is the length of the hypotenuse

Answers

Answer:

10

Step-by-step explanation:

8 to the second power is 64

6 to the second power is 36

36+64=100

the square root of 100 is 10

so 10 is the length of the hypotenuse

Hope this helps!

I think I know the answer but I want to be 100% sure so please help

Answers

Answer:

3 ft/sec

Step-by-step explanation:

Two clear points to look at are (0,0) and (4,12)

Rate of Change is (12-0)/(4-0)=12/4=3

Answer:

3 feet per second

Step-by-step explanation:

it was 8 seconds and 24 feet at one and 8 times 3 would be 24

a. Find the mean, median, and mode of 12, 9, 17, 15, 10.
mean:
median:

Answers

Mean= 12.6 median= 12

the perimeter of a square is 32cm. find the area​

Answers

Answer:

64 cm

Step-by-step explanation:

If the perimeter of a square is 32cm. Each side is the same length, and there are 4 sides. 32÷4=8

Each side equals 8. 8•8=64 The area is 64cm.

Jorge works at a dairy farm that ships eggs to restaurants. Jorge decides to try new packaging for the eggs to see if it results in fewer broken eggs. Jorge packs a random sample of 8 shipments with the current packaging and a random sample of 8 shipments with the new packaging. He collects data from the restaurants on the number of broken eggs in each shipment. Current packaging: 5, 9, 4, 4, 5, 5, 7, 4 New packaging: 3, 6, 6, 3, 5, 5, 6, 5 The means are 5.375 and 4.875 respectively, for a difference of 0.5. Jorge wants to know if this is significant or if it could be caused by chance. To find out, he re-randomizes the results 12 times and finds the differences of the means. The dot plot shows the data. What is the best conclusion for Jorge to make based on the data

Answers

Answer:

The difference of 0.5 is not significant because the re-randomizations show that it is within the range of what could happen by chance.

Step-by-step explanation:

For the means which are given as 5.375 and 4.875 respectively, for a difference of 0.5.

The best conclusion for Jorge to make based on the data is that - The difference of 0.5 is not significant because the re-randomizations show that it is within the range of what could happen by chance

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