What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 5x + 3; f(x) = -3



(2, [?]); ( ), ( )

Answers

Answer 1

Given that

[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]

Answer 2

Answer:

(2, - 3 ) and (3, - 3 )

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )


Related Questions

Can some one help in thsi with the steps required

Answers

Answer: 24.5 m² ( area)

Step-by-step explanation:

See , Total area of wall is given - length , 6m - width/breadth , 5m

          so , Area of total wall = l x b = 6*5 = 30m²

so , there is a window whose length is 2 meters and breadth/width of 0.5m

         so , Area of window = l x b = 1m²

So , area of door  = length , 3 - Width/breadth- 0.5 m²

        So , Area of door = 3* 1.5 = 4.5

Then the question wants us to find the area of the wall without counting window and door . So we can subtract the area of door and window from the area of the whole wall to get the area of the wall without the window and door .

= total area of wall - area of window and door

30m²-1m²-4.5

So as a result , we get a total area of the wall without the window and door to be painted as  24.5m²

How do you get the volume of a 3d object? How could the way to calculate volume help certain people like construction workers?
Me will give brainliest to the person whose answer is the best.

Answers

Answer:

The way to calculate the volume of a 3D object like a cube is by multiplying the length times the width and the height or you could also use base times the height to find the volume. The way to calculate the volume could help construction workers to see how much area the building takes up and a lot of other stuff.

Step-by-step explanation:

you are making cookies. The recipe calls for 5 cups of flour for every 2 cups of sugar.If you have 8 cups of flour, how many cups of sugar would you need?

Answers

Answer:

You should use 3 1/5 cups of sugar.

Step-by-step explanation:

Does the point (4, 10) satisfy the inequality y greater than or equal to 2x + 2?

Answers

Answer:

Yes, the point (4,10) satisfies the inequality.

Step-by-step explanation:

In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:

y ≥ 2x + 2

10 ≥ 2(4) + 2

Then solve:

10 ≥ 8 + 2

10 ≥ 10

Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).

PLZ HELP!!

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

The slope of this line is 1/4

Step-by-step explanation:

this is because the line has a rise of one and a run of 4. It is positive because y increases as x increases.

Answer: 3 over 12 or 1 over 4

Step-by-step explanation:

From the first point to the second you have to count up 1 and over 4, to get to the third point from the first it’s up 3 and over 12. This is the easiest method for me but there are others

There are 13 books on your shelf, and you will take 5 of them on vacation with you.

How many ways can the books be chosen?

Answers

Answer:

Important, funny and book about the place you are going?


Jacob wants to buy a new bike that costs $369. He currently has $150 saved for the bike, and he can add $3 each day to the bike fund. Write an equation and solve to determine how many days it will take Jacob to save enough money for the new bike.

Answers

Answer:

150 + 3x = 369 X= 73

Step-by-step explanation:

X is the amount of days

So 150 minus 369 would be 219

Then take 219/3 and that would mean X equals 73

The Smiths spend 6% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,880 on entertainment. What was their total budget last year?

Answers

Answer:

Total budget this year = $ 2000 more than last year. Let x = Budget for this year. Money on entertainment = 0.06x = 2760. ⇒ Budget for this ...

Step-by-step explanation:

the perimeter of a rectangle is 20cm. if the breadth of the rectangle is 2cm what is it's area

Answers

Answer:

perimeter =20cmbreadth=2cmlength=?

we know that

perimeter =2*(l+b)

20=2*(l+2)

20=2l+4

2l=20-4

2l=16

l=16/2

l=8

SUPER EASYYYYYYYYYYYYYYYY

Answers

Hello, hope you are having a nice day.

t^3*t^9

When we multiply numbers with the same base, we add the powers.

t^12

That's the answer. Hope it helps

Ask me if you have any queries.

[tex]MagicalNature[/tex]

Good luck.

HELP ASAP 10 POINTS WILL MARK IF CORRECT

Answers

Answer:

To get the slope, we can first mark out any 2 points of the line.

In this case, I will use the point (-2, 0) which will be (x1, y1) and (0, -2) which I will call (x2, y2).

To get the slope, you need to do [tex]\frac{y2-y1}{x2-x1}[/tex]

Substitute these values in:

[tex]\frac{-2-0}{0-(-2)} =\frac{-2}{2} =-1[/tex]

The slope is -1.

This is probably easy oh well

Answers

c, the third answer…..
the third one which would be C.

Jayden drank 2 glasses of water in the morning and 1/2 of a glass in the afternoon. How much water did Jayden drink in all?

Answers

Answer:

2.5 glasses of water

Step-by-step explanation:

Answer:

he drank 2 and a half glasses of water

Step-by-step explanation:

all u have to do is add up 2 and 1/2 to see how much he drank in all

Solve for y.

62=y−58.8

Enter your answer in the box.

y =

Answers

Answer:

120.8

Step-by-step explanation:

The value of y from the given equation is 120.8.

The given equation is 62=y-58.8.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows

Add 58.8 on both the sides of an equation, that is

62+58.8=y-58.8+58.8

⇒ y=120.8

Hence, the value of y from the given equation is 120.8.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

what is the slope of the line graphed on the coordinate plane

Answers

Answer:

The slope = 3/4

Step-by-step explanation:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m=\frac{6-3}{2-(-2)}=\frac{6-3}{2+2}[/tex]

m = 3/4

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3

Answers

Graph A should be the correct answer :))
if that’s wrong then try B

please help i will make you brainliest

three step equations

Answers

Answer:

6:

x=  6(y−2)/5

8:a=−(b+c+4)

b=−(a+c+4)

Step-by-step explanation:

Which equation has the same solution as 7x−14=21?

Answers

Answer:

2x=10

Step-by-step explanation:

7x-14=21

x=5

2x=10 (divide both sides by two)

2x/2  10/2

x=5

Yky. we'd to provide the other options but to do this you need to +14 to both side. 21+14 then -14+14 cancel. so it's now

7x=35 then you divide 7 in both sides 7 cancels 35/7 =5

x=5

if the given data is 20,30 3x+5 divided by 2 ,50, 60 and the median is 40 find the value of x​

Answers

Answer:

in the image. Median is the middle number

A movie store sells DVDs for $11 each. What is the cost, C, of n DVDs?

Answers

C=11 x N I wanna say but try and confirm this

The cost to rent a moving van is $19.95 per day plus $0.52 per mile. The cost of renting a
car trailer to pull behind the van is $24.95 per day plus $0.24 per mile. Roberto is moving
from Los Angeles to Denver, Colorado. Which equation can he use to find his daily
rental costs c? (Use m for miles.)

Answers

Answer: 19.95 + 24.95 + (m times 0.52) + (m times 0.24)

Step-by-step explanation:

19.95 + 24.95 + (m times 0.52) + (m times 0.24)

The first 2 numbers are the one time costs then the numbers in brackets are for the cost per miles.


What are the values of m and n

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]m = 60 \degree[/tex]

[tex]n = 30 \degree[/tex]

Refer to attachment for solution ~

find slope and y intercept
x + y = -2

Answers

Answer:

slope =1 and y intercept = -2

Step-by-step explanation:

Find Slope and Y intercept

Slope and Y intercept

x+y=-2<-- subtract x to get y alone

y=-x-2

Thus slope is 1/1 or 1

and y intercept is -2

Answer:

-1

Step-by-step explanation:

y=mx+c  m=slope

c=y intercept

y=-x+2

so the slope is -1 and intercept of 2

Sofi stores water for her turtle tank in a container with a maximum
capacity of 64 ounces. The container is filled with 4 8 ounces less than
its maximum capacity
PART A
PARTE
Sofi accidentally spills 5% of the container's Sofi needs to add 16 ounces of water to
maximum capacity on the counter. To what her turtle tank. What percentage of the
percent of its capacity is the container
remaining water in the container does she
now filled?
need to use? Explain.
67.5%
12.5%
87 99
95%

Answers

A) If Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B) If Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Given that Sofi stores water for her turtle tank in a container with a maximum capacity of 64 ounces and the container is filled with 4.8 ounces less than its maximum capacity, to determine A) if Sofi accidentally spills 5% of the container's maximum capacity on the counter, to what percent of its capacity is the container now filled, and B) if Sofi needs to add 16 ounces of water to her turtle tank, what percentage of the remaining water in the container does she need to use, the following calculations must be made:

A)

64 = 100 (64 - 4.8) - (64 x 0.05) = X 64 = 100 56 = X 56 x 100/64 = X 87.5 = X

Therefore, if Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B)

56 = 100 16 = X 16 x 100/56 = X 28.57 = X

Therefore, if Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Learn more in https://brainly.com/question/17592236

Answer:

A=87.5%   b=28.57

Step-by-step explanation:

ADVICE PLEASE LOOK AT THIS VERY HELPFUL

PART                           percent

--------- over =          ----------------- over   Cross multiply and then divide by 100  

WHOLE                       100%

Mrs. Letting brought 40 cookies to school. Mrs. Letting's class ate 1/2 of the cookies and Mrs. Kim's class ate 1/4 of the cookies. How many cookies are left?

Answers

There are 10 cookies left.

Explanation:
There were 40 cookies to start with. If Mrs. Lettings class at 1/2 of the cookies, there are now 20 cookies left. Mrs Kim’s class then ate 1/4, because 1/4 of 40 is 10, then they ate 10 cookies. So there are now 10 cookies left

Isabelle ran a distance of about 26 miles during a marathon. In other countries, kilometers is used to measure length. There are approximately 8 kilometers in 5 miles.

Which measurement is closest to the number of kilometers Isabell ran?

Answer
A
16.3 kilometers.


B
41.6 kilometers.


C
7.2 kilometers.


D
53.5 kilometers.

Answers

Answer:

Step-by-step explanation:

b

List three negative numbers that are between -8 and -1

Answers

Answer:

the answer is -5 -3 -7 but there are more

Answer:

-7,-6,-5,-4,-3,-2 they are alot but you can take what every number

Does anybody have the answer to this???? Thank You

Answers

Answer:

Step-by-step explanation:

h(4)=2w+3

4=2w+3

Collect like terms (c. I. T)

4-3=2w

1=2w

Divide both sides by 2(d.b.s)

1/2=2w/2

0.5=w

h=0.5w

Plz helpp
23% of the mix was cadmium. The total weight is 3000 grams. What is the weight of the other constituents?

Answers

Answer:

690

Step-by-step explanation:

23% of 3000 is 690 (love your username btw; 2️⃣ Set

What is the value of -[-(-7)]?

Answers

Answer:

-7 is the correct answer

-7 is the correct answer
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