Write a quadratic function in standard form with zeros 5 and 6

Answers

Answer 1

Answer:

[tex] {x}^{2} - 11x +30[/tex]

Step-by-step explanation:

Zeros = 5 & 6

Let the variable of the quadratic function be x

Therefore, (x - 5) & (x-6) are factors

[tex](x - 5)(x - 6) \\ \\ = {x}^{2} - (5 + 6)x + ( - 5)( - 6) \\ \\ = {x}^{2} - 11x +30 \\ is \: the \: required \: quadratic \: \\function.[/tex]


Related Questions

f(x) = 1/2(x) + 1
Find the Inverse

Answers

Answer:

Step-by-step explanation:

Ok

Step-by-step explanation:

when trying to find the inverse of a function just replace x with y and try to make the y the subject of the formula.

x = 1/2(y) + 1

x+1 = 1/2 (y)

2(x+1) = y

Which graph represents the inequality x > 3?

Answers

Answer:

I think the answer is C

Step-by-step explanation:

Since the > symbol doesn't have the line under it, it is a dash line, considering its not equal to. It's also suggesting that x is more than 3 so it goes to the right

Cuantos divisores tiene 64

Answers

hay 7 divisores 1, 2, 4, 8, 16, 32, 64

Identify which shapes on the graph are congruent to shape I by performing these sequences of transformations on shape I:

a 90° clockwise rotation about the origin and then a reflection across the x-axis

• a 90° counterclockwise rotation about the origin and then a reflection across the x-axis

• a 180° rotation about the origin and then a translation right 4 units

Answers

The shapes on the graph that are congruent to shape I by performing these sequences of transformations are as detailed below

How to Identify the Congruent Shapes?

We are told that the transformations are;

a 90° clockwise rotation about the origin and then a reflection across the x-axis;

a 90° counterclockwise rotation about the origin and then a reflection across the x-axis;

a 180° rotation about the origin and then a translation right 4 units;

Now, looking at shape I;

a 90° clockwise rotation about the origin and then a reflection across the x-axis will give us the third shape at the bottom.

A 90° counterclockwise rotation about the origin and then a reflection across the x-axis; will give us the first shape at the bottom.

A 180° rotation about the origin and then a translation right 4 units will give us the last shape on the right top.

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What is the distance between points D and F?
A. 5.4
B. 4.2
C. 3.7
D. 2.6

Answers

Answer:

ans is A.............

The required distance between points D and F is 5.4 units.

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
The coordinate of point D is (2, 0) and the coordinate of point F is (-3, -2).
The distance between points D and F can be evaluated by the distance formula,
[tex]DF = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Substitute the value in the above equation,
[tex]DF = \sqrt{(2 + 3)^2 + (0 + 2)^2}\\ DF = \sqrt{25 + 4}\\ DF = \sqrt{29}\\ DF = 5.4[/tex]

Thus, the required distance between points D and F is 5.4 units.

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two straight lengths of wire are places on to the ground, forming vertical angles. if measure of one of the angles formed is 72 degrees, what are the measures of the other three angles? explain your answer

Answers

Answer: 75 x 6+ b = x

Step-by-step explanation:

Answer:

well if 32+32= 412 then 412+8=420

Step-by-step explanation:

well 32+32=64

64+32=96

96-8=88

88+100=188

188+100=288

288+100=388

now this is where it get very important

388+32=420

see how it all adds up and ends with a 32 being added its because

420 = whatcha smokin?

your welcome class

A line passes through the points​ A(n,4) and​ B(6,8) and is parallel to y=2x-5. What is the value of​ n?

Answers

(4,6),(5,3),(7,2),(9,3)

The value of n is 4 if the line passes through the points​ A(n,4) and​ B(6,8) and is parallel to y=2x-5.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

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

It is given that:

A line passes through points​ A(n,4) and​ B(6,8) and is parallel to y=2x-5.

The slope of the line which passes through points​ A(n,4) and​ B(6,8)  

[tex]\rm m =\dfrac{8-4}{6-n}[/tex]

m = 4/(6 - n)

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

The slope of the line y = 2x - 5

M = 2

The lines are parallel which means the slope of the lines will be equal

m = M

4/(6 - n) = 2

2 = 6 - n

n = 4

Thus, the value of n is 4 if the line passes through the points​ A(n,4) and​ B(6,8) and is parallel to y=2x-5.

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Give the slope of the graph and the unit rate. Express your answers as simplified fractions, if necessary.
Jorge: 4 miles every 5 hours
Jorge
18
16
14
Distance (mi)
+
12
10
Time (h)
6
10
14
16
18 20
The slope of the graph is
His unit rate is mile(s) per hour.

Answers

Answer:

Slope = ⅘

Unit rate = 0.8 mile per hour

Step-by-step explanation:

The slope of the graph is simply the constant rate of change along the line of the graph or change in y-coordinates of two points divided by change in their corresponding x-coordinate.

For the graph given, distance (miles) is the y-variable, while time (hours) is the x-variable.

Given that Jorge travels 4 miles for every 5 hours, therefore, the slope of the graph plotted can be represented as [tex] \frac{4}{5} [/tex]

The unit rate would be 4:5 = ⅘ = 0.8 mile per hour.

two prime numbers that have a sum of 34​

Answers

Answer:

example: 23 and 11

This is an example. If you add 23 and 11; it makes 34.

Hope this helps!


Pls answer this and thank you

Answers

the answer is b on the question

Graph the solution to the system of inequalities.
Y< -3/2x +2
Y is greater than it equal too 1/2x-2

Answers

Answer:

Look at the graph

2.4cm and 6.5cm what is the length of this equation

Answers

Answer:

8.9 cm

Step-by-step explanation:

Find the difference
5/8-1/4​

Answers

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} = \frac{2}{8}[/tex]  Plug 2/8 in: [tex]\frac{5}{8} - \frac{2}{8}[/tex]  [tex]\frac{5}{8} - \frac{2}{8} = \frac{3}{8}[/tex]  

I hope this helps!

Answer:

12

−−  

32

Step-by-step explanation:

multiply 5 by 4, and get 20.

Then we multiply 1 by 8, and get 8.

8 × 4 = 32 that give the terms new denominators

20      32

−−        −−  

8         32

then since the denominators match subtract the numerators

20 − 8 = 12

so the answer is  

12

−−  

32

I hope this helps you out

6/7 oz converted to pounds

Answers

Answer:

.0536lb

Step-by-step explanation:

you can literally look this up on google

Using the image below, determine the area of the green shaded region. The rectangle
has side lengths of 12 and 8.
12
13

Answers

Answer:

Option (3)

Step-by-step explanation:

From the picture attached,

Area of the green shaded region = Area of triangle ADC + Area of triangle ABE

Area of triangle ADC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                   = [tex]\frac{1}{2}(AD)(DC)[/tex]

                                   = [tex]\frac{1}{2}(12)(8)[/tex]

                                   = 48 square units

Area of triangle ABE = [tex]\frac{1}{2}(AB)(BE)[/tex]

                                  = [tex]\frac{1}{2}(12)(8-3)[/tex]

                                  = 30 square units

Area of green shaded region = 48 + 30 = 78 square units

Option (3) will be the answer.

I need help with this! :) 1-5(-7x+5)<-5x+5-4​

Answers

The answer is 30x-23

Solution: x<5/8

decimal:x<0.625

interval notation:-∞,5/8

Step-by-step explanation:

add/subtract the numbers : 5-4=1

expand 1-5(7x+5):35x-24

add 24 to both sides

35-24+24<-5x+1+24

simplify

35x<-5x+25

add 5x to both sides

35x+5x <-5x+25x+5x

simplify

40x/40 <25/40

simplify

x<5/8

PLEASE HELP ME I WILL MARK YOU SOME EXTRA POINTS OR SOMETHING!!!

Answers

Answer:

AD = 11

Step-by-step explanation:

BC = 3

BD = 8

CD = 8 - 3 = 5

B is the midpoint of AC

AC = 3 x 2 = 6

AD = 6 + 5 = 11

AD = 11

Please let me know if I'm wrong :)

Answer:

AD=11

Step-by-step explanation:

how do I do this ??

Answers

Answer:

If I'm not mistaking, they want you to find the number in the middle that's between X and Z.

That number would be 3.

Hope this helps a bit! :)

Answer:

y would be at 3

Step-by-step explanation:

How much space is in between x and z?: 8 - -2 = 8 + 2 = 10The midpoint of 10 is 5: -2 + 5 = 3

I hope this helps!

Five less than three times the length, L

Answers

Answer:

l3-5 Is how you should write this.

You are buying fruit to make fruit baskets. Apples come in bags of 20. Oranges come in bags of 16, and bananas come in bags of 32.

1) You have one bag of each fruit. Each fruit basket must be identical.



a) What is the greatest number of fruit baskets that you can make using all of the fruit?




b) How many of each type of fruit are in each fruit basket in part (a)?




2) You decide that not only must the fruit baskets be identical, but each one must have the same numbers of apples, oranges, and bananas.



a) What is the least number of bags of each fruit you need to have the same number of apples, oranges, and bananas?



b) How many of each type of fruit do you have?



c) There must be at least 5 but no more than10 of each type of fruit in each basket. How many different ways can you arrange the fruit baskets when using all of the fruit? Explain your reasoning.

Answers

Answer:

1) 3

2) 8

3)

4) 5

5) 20 apples 16 orangs and 31 bananas

6)

Step-by-step explanation:

Plsss help!!!!Need this ASAP!!!
Haley's recipe calls for 5.5 cups of an ingredient. Her measuring bowl only has
measurements marked in liters. Haley knows that one cup is approximately
240
milliliters. Which measurement is closest to the number of liters of the ingredient
that Haley needs for her recipe?
F 0.04 liters
G 1.3 liters
H 2.3 liters
J 0.2 liters

Answers

Answer:

G 1.3 liters

Step-by-step explanation:

5.5 * 240 = 1,320

1,000 milliliters in a liter

1,320/1000 = 1.3

Answer:

g 1.3

Step-by-step explanation:

It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water
heater in his attic. Since plumbers charge extra to come out on weekends. Jeremy is
planning to use buckets to catch the dripping water. Ile places a bucket under the drip and
steps outside to walk the dog. In half an hour, the bucket is 1/5 of the way full.

Answers

Answer:

He will need 9.6 buckets per day. If that was the question...

Step-by-step explanation:

If it takes half an hour for it to fill up 1/5 of the way, then in an hour it will have filled up 2/5 of the way.

2/5 x 24 = 9 3/5 or 9.6

Which of the following lines is perpendicular to the equation given below?
y=−2x+8

A. 2x−y=12

B.x−2y=6x

C.x+2y=8x

D.2x+y=4

Answers

Answer:

B. x−2y=6

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

The given line is

y = -2x + 8

Perpendicular line to this must have a slope of

- 1/(-2) = 1/2

Option A

2x - y = 12y = 2x - 12Slope is 2No

Option B

x - 2y = 62y = x - 6y = 1/2x - 3Slope is 1/2Yes

Option C

x + 2y = 82y = - x + 8y = -1/2x + 4Slope is -1/2No

Option D

2x + y = 4y = -2x + 4Slope is -2No

Answer:

B. x−2y=6

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

The given line is

y = -2x + 8

Perpendicular line to this must have a slope of

- 1/(-2) = 1/2

Option A

2x - y = 12

y = 2x - 12

Slope is 2

No

Option B

x - 2y = 6

2y = x - 6

y = 1/2x - 3

Slope is 1/2

Yes

Option (C) is correct

x + 2y = 8

2y = - x + 8

y = -1/2x + 4

Slope is -1/2

No

Option D

2x + y = 4

y = -2x + 4

Slope is -2

No

Find the value of the variable.
X=

Answers

Answer:

X=15

Step-by-step explanation:

Since the angles labeled are vertical, they are congruent. Set them equal to each other and then solve for x.

3x³-3x² solve.with solution (CMF)

Answers

Answer:

[tex]3x^2(x-1)[/tex]

Step-by-step explanation:

Not sure what you mean by "solve" as this is an expression, anyhow..

Our common monomial factor is [tex]3x^{2}[/tex]

By factoring out this monomial, we get [tex](x-1)[/tex]

To prove this is the answer, we can do [tex]3x^2(x-1)[/tex] and see that they multiply to the original expression.

Please help. AB ___ BC Choose the relationship symbol that makes the statement true. see the picture below.

Answers

im pretty sure it “>”

Answer:

You have the correct answer I believe. AB > BC

Step-by-step explanation:

Architects must pass an examination to obtain a license to practice.
False or True

Answers

The answer is definitely true

What is 7% of 300000000 and how do you work it out?

Answers

Answer:

21,000,000

Step-by-step explanation:

Divide 7 into 300000000

If you could subscribe to my friend penny_pg3d on yt that would be great

Answer:

1. 21000000

2. 4285714286

Step-by-step explanation:

At first I divided it by 7% then I multiplied.

Have a good day!

Which is the slope of the line that passes through the points (4,2) and (6,7)? Please help ^^

Answers

Answer:

The answer is 5/2

Step-by-step explanation:

The answer would be 5/2.

Subtract the y's:

7 - 2 = 5

Subtract the x's

(Same order aha-)

6 - 4 = 2

slope:

5/2

2x + 5(y - 1) when x=8 and y=5

Answers

Answer:

Your answer would be 36

Step-by-step explanation:

First you start off by rewriting the equation to make it simpler for you to understand all of the steps.

2x + 5(y-1)

Then you plug in your given values. (x = 8 and y = 5)  

2(8) + 5(5-1)

After you plug in your given values you solve all your parenthesis (aka using the Distributive Property of Equations to simplify your equation.)

16 + 20

After that, you have basic math

16 + 20 = 36

And now your answer is 36.

I hope this helps you :)

The solution of the expression 2x + 5(y - 1) when x=8 and y=5 is 36

From the question, we are to evaluate 2x + 5(y - 1) when x=8 and y=5

To do this, we will put the given respective values of x and y into the expression 2x + 5(y - 1)

That is,

2x + 5(y - 1) becomes

2x + 5(y - 1) = 2(8) + 5(5-1)

= 16 + 5(4)

= 16 + 20

= 36

Hence, the solution of the expression 2x + 5(y - 1) when x=8 and y=5 is 36

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