Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

x2-30x+

Answers

Answer 1

Answer:

225

Step-by-step explanation:

a[tex]x^{2}[/tex] -  bx + c

[tex](\frac{b}{2}) ^{2}[/tex]

[tex](\frac{-30}{2}) ^{2}[/tex]

[tex](-15)^{2} \\[/tex]

225

[tex](x-15)^{2}[/tex] = [tex]x^{2}[/tex] - 30x + 225


Related Questions

The graph of function g(x) is a vertical stretch of the graph of function f(x)=x ​​by a factor of 2.

Which equation describes function g(x)?


​​g(x)=f(x)−2

​​g(x)=f(x)+2

g(x)=2f(x)

​g(x)=1/2f(x)

Answers

Answer:
g(x) = 2f(x)


What the other options mean:

g(x) = f(x) – 2
Translation down 2 units

g(x) = f(x) + 2
Translation up 2 units

g(x) = 1/2 f(x)
Vertical compression by a factor of 1/2

Answer:

g(x) = 2f(x)

Step-by-step explanation:

Help asap

what is the measure of angle dgv?

enter your answer in the box

Answers

The measure of angle MBT as shown in the diagram is 28 degrees.

What is an angle?

An angle is formed from the intersection of two or more lines. Types of angles are obtuse, acute and right angled.

From the diagram:

∠MBN = ∠MBT

17x - 6 = 5x + 18

x = 2

∠MBT = 5(2) + 18 = 28 degrees

The measure of angle MBT as shown in the diagram is 28 degrees.

Find out more on angle at: https://brainly.com/question/25770607

(8r^2-12r+4)-(3r^2+5r-1) in standard form

Answers

Answer:

[tex]=5r^2-17r+5[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]

[tex]\left(8r^2-12r+4\right)=8r^2-12r+4[/tex]

[tex]=8r^2-12r+4-\left(3r^2+5r-1\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]

[tex]-\left(3r^2+5r-1\right)=-3r^2-5r+1[/tex]

[tex]=8r^2-12r+4-3r^2-5r+1[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=8r^2-3r^2-12r-5r+4+1[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:4+1=5[/tex]

[tex]=8r^2-3r^2-12r-5r+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:8r^2-3r^2=5r^2[/tex]

[tex]=5r^2-12r-5r+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-12r-5r=-17r[/tex]

[tex]=5r^2-17r+5[/tex]

Which Property of Multiplication is shown ? (9 + 6) 4 = 9 x 4 + 6 x 4

Answers

Answer:

This property is associative

Step-by-step explanation:

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

The distributive property of multiplication over addition:

a(b + c) = ab + ac

(9 + 6)4 = 9 × 4 + 6 × 4

is an example of the distributive property.

What is y=56​x+9 written in standard form

Answers

56x-y=-9

i just did this problem and got it correct
56x + y = 9



That is the standard form

what is 10.9 and 6.25 as a fraction

Answers

10.9 as a fraction is 10 9/10 and 6.25 as a fraction is 6 25/100

50 POINTS AND BRAINLIEST
Which statement is true?

A.
The function is an even function because its graph is symmetric about the origin.
B.
The function is an odd function because .
C.
The function is an even function because .
D.
The function is an odd function because its graph is symmetric about the y-axis.

Answers

Answer:

B. The function f(x) = tan(x) is an odd function because f(-x) = -f(x)

Step-by-step explanation:

The function f(x) = tan(x) is odd as  [tex]f(-x) = -f(x)[/tex]  so we can conclude the statement B. The function f(x) = tan(x) is an odd function because [tex]f(-x) = -f(x)[/tex] is the true option.

What are functions?

The function is a relation used to determine a value f(x) for a given x using an expression in x.

What are even functions?

An even function is when f(x) = f(-x). It is symmetric along the y-axis.

What are odd functions?

An odd function is when f(-x) = -f(x). It is symmetric along the x-axis.

How do we solve the given question?

We are dealing with the function f(x) = tan(x).

We calculate f(-x) = tan(-x) = -tan(x) = -f(x).

∴ The function f(x) = tan(x) is an odd function, and odd functions are symmetric about the origin.

∴ The function f(x) = tan(x) is odd as  [tex]f(-x) = -f(x)[/tex]  so we can conclude the statement B. The function f(x) = tan(x) is an odd function because [tex]f(-x) = -f(x)[/tex] is the true option.

Learn more about odd functions and even functions at

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Name a pair of corresponding angles

Answers

Answer: ∠2, ∠6 is your answer. If that's not the answer than ∠7, ∠5 might be your answer.

hope it helps

i really need help ! it would mean alot if you did help ❤️ !​

Answers

Answer:

B

Step-by-step explanation:

Hope this helps!!!

Answer:

B. Math , Social Studies , Reading is the answer.

I think this helps you ☺️☺️.

Thank you ☺️☺️☺️

Given that x = 7.6 m and θ = 47°, work out BC rounded to 3 SF.

Answers

7.09 meters

Step-by-step explanation:

first start by using sin of 47 to find the hypotenus.

Then after finding the hypotenus you just have to use cos of 47 to find BC

Answer:

7.09 m

Step-by-step explanation:

Bob is doing a quality test on machine bots , he tested 24 bolts that he randomly found that 5 were defective. Based on bob’s results what is the expected number of bolts that will be defective if he tests 840 bolts? A.139 B. 145 C. 175 D. 211

Answers

the awnser would be is 13/48

The expected number of defective bolts are obtained as 175. The correct option is (C).

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

The total number of bolts tested are 24.

And, the number of defective bolts are 5.

Then, the probability of defective bolts is given as,

P(defective bolts) = 5/24

Now, the expected number of bolts can be found as,

Expected number = P(defective bolts) × Total number of bolts tested

⇒ 5/24 × 850 = 175

Hence, the expected number of bolts that will be defective is given as 175.

To know more about probability click on,

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Two angles are supplementary. The measure of the larger angle is 12 less than 3 times the measure of the smaller angle.Find the measure of each angle

Answers

Answer:

48 , 132

Step-by-step explanation:

Let smaller angle = x

Larger angle = 3x - 12

x & (3x - 12) are supplementary

So, x + 3x - 12 = 180°

          4x - 12 = 180

                  4x = 180 +12

                   4x = 192

                     x = 192/4

x = 48°

Larger angle = 3*48 - 12 = 144 - 12 = 132

Answer: The measure of the smaller angle is 48,and the larger angle is 132.

Step-by-step explanation:

if 2 is the same as 4 how

Answers

Answer:

2 is not the same as 4.

[tex]2^2[/tex] is the same as 4, since 2*2 = 4.

2 is not the same as 4 but 2x2 is the same as 4

You're playing the ring toss at a carnival. In one round of the game, you either hit your target and win, or you miss the target and lose. What is the probability you will win one round of the game?

Answers

If you’re only playing one round, it’ll be 1/2 change you will win. So it is likely
Answer:1/2

Total probability in round 1 is 1
And there are two likely outcomes which are win and lose
And as such there is an equal probability for both to happen
Also , the sum of the two outcomes should be 1
(Win + Lose ) = 1
(1/2) + (1/2) =1
Hence the probability that round 1 is won is 1/2

PLSS HELPP I DONT UNDERTANDD

Two numbers a and b are in the ratio 3 : 4. If the first number is decreased by 4 and the second is decreased by 2, they are in the ratio 2 : 3. Find a and b.
a =
b =

Answers

Sorry it’s a bit messy, hope this helps

3:45 a.m. to 12:00 p.m.

Answers

Answer:

8 Hours 15 Minutes

Step-by-step explanation:

12:00 p.m - 3:45 a.m = 8 Hours 15 Minutes

A small organic food store makes two types of fruit smoothies: tropical and sport. each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. each sport smoothie uses 3 oz of orange juice and 3 oz of milk. the store buys the orange juice in a 210-oz container and milk in a 150-oz container. the store sells the tropical smoothies for $4 and sells the sport smoothie for $3. what is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk? $100 $110 $150 $280

Answers

Answer:$150

Step-by-step explanation:

the sport drink is only 25% less in the price compared to the tropical...

but is 2-3 times less supplies than the tropical... pretty convenient but the most you get from the tropical is $92

the most you can suck out of this total is $150

Answer:

c) 150

Step-by-step explanation:

edge 2020

Find the distance between the two points in simplest radical form (3, 8) and (5, - 1)

Answers

Answer:

[tex]d = \sqrt{85}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(5-3)^2+(-1-8)^2}[/tex]

[tex]d = \sqrt{(2)^2+(-9)^2}[/tex]

[tex]d = \sqrt{4+81}[/tex]

[tex]d = \sqrt{85}[/tex]

What is an
equation of the line that passes through the points (-8,-4) and
(-8, – 7)?

Answers

Answer: x=-8

Step-by-step explanation:

Given that x= 7.4 m and θ = 23°, work out AC rounded to 3 SF.

Answers

Answer:

18.939

Step-by-step explanation:

Use SOH CAH TOA to find sin(23) = 7.4/x. Convert it to x(sin23) = 7.4. Divide both sides by sin23 to get x=18.939

Hey there!

[tex]\overline{AB} = 7.4m[/tex]

[tex]\overline{ACB} = 23°[/tex]

[tex] Sin(ACB) = \frac{\overline{AB}}{\overline{AC}}[/tex]

[tex] Sin(23°) = \frac{7.4}{\overline{AC}}[/tex]

[tex]\overline{AC}=18.939m[/tex]

Help me please.......

Answers

Answer:

50+25n=$125 and 3 hours

Step-by-step explanation:

50 (service charge)
25 (hourly rate)
Previous service cost = 125
Number of hours worked = n

50 + 25n = 125 (equation)

50 + 25(3) = 125
50 + 75 = 125
125 = 125

3 hours worked

find the missing value

Answers

well, the volume of that triangular prism will just be the area of the triangle times the length.

now, what's the area of that triangular face?  well, let's say it has a base of "b" and a height of 3, whilst the prism has a length of 6, Check the picture below.

[tex]\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(b)(3)}\stackrel{\textit{prism's length}}{(6)}~~ = ~~4\frac{1}{2}\implies 9b=\cfrac{9}{2}\implies b=\cfrac{9}{18}\implies b=\cfrac{1}{2}[/tex]

hello people ~
what is the perimeter of a rectangle whose length and breadth are 20cm and 18cm?​

Answers

Answer:

[tex]\displaystyle 76\:cm.[/tex]

Step-by-step explanation:

[tex]\displaystyle 2l + 2w = P \\ \\ \boxed{76} = 36 + 40 \Rightarrow 76 = 2[18] + 2[20] \\ \\ \boxed{76 = P} [/tex]

I am joyous to assist you at any time.

Length=L=20cmBreadth=B=18cm

Perimeter:-

[tex]\\ \rm\rightarrowtail 2(L+B)[/tex]

[tex]\\ \rm\rightarrowtail 2(20+18)[/tex]

[tex]\\ \rm\rightarrowtail 2(38)[/tex]

[tex]\\ \rm\rightarrowtail 76cm[/tex]

the sum of two numbers is 840. one of the numbers is 357. what is the other number?​

Answers

Answer:

483

Step-by-step explanation:

840 minus 357 is 483

Help me pls pretty pls it’s so hard to do this type of stuff

Answers

Answer: make the variable y

and the equation should be

10 + .20y = 25

hope this helps

A triangular prism has a base that is 10 cm. It’s height is 8 cm. What is its volume

Answers

Answer:

C.

Step-by-step explanation:

Do 10 to the 2nd power (which is 100) the multiply it by the 8 then you get 800!

MQ = 2x+2
QO= 3x-10

find x

(it’s a rhombus)

Answers

Answer:

2x+2=3x-10

2+10=3x-2x

x= 12

Answer:

x = 12

Step-by-step explanation:

The diagonals PN and MO are perpendicular bisectors of each other, thus

QO = MQ , substitute values

3x - 10 = 2x + 2 ( subtract 2x from both sides )

x - 10 = 2 ( add 10 to both sides )

x = 12

The scatter plot shows the time spend watching TV,x, and the time spend doing homework,y, by each 24 students last week

Answers

Answer:

Equation of the best fit line is given as  y = - 0.76x + 26.04  Now we need to find the decrease in time spent in doing homework for increase in one hour in time spent in watching TV.

Step-by-step explanation:

hope this helps

have an awesome day -TJ

Your doctor prescribes you to take 400 milligrams of medicine every 8 hours. How many ounces of medicine do you take in a day?

Answers

Answer:

0.04233 ounces of medicine in a day

Step-by-step explanation:

Write an equation with a slope of -5 and a y-intercept of O

Answers

Answer:

[tex]y=-5x+0[/tex]

Step-by-step explanation:

We know that slope intercept form is:

[tex]y=mx+b[/tex]

And our slope is -5, and the variable we use for slope is m:

[tex]m=-5[/tex]

Our new equation becomes:

[tex]y=-5x+???[/tex]

And our y-intercept is 0, and the letter we use to express our y-intercept is b:

[tex]b=0[/tex]

Our new equation is:

[tex]y=-5x+0[/tex]

Hence, the correct answer is [tex]y=-5x+0[/tex]

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