Factor and solve each quadratic equation.

Show your work

-t^2 + 12t = 32

Answers

Answer 1

Answer:

t = 8, t = 4

Step-by-step explanation:

-t² + 12t = 32

-t² + 12t - 32 = 0 (Subtracted 32 on both sides.)

t² - 12t + 32 = 0 (Divided by -1 on both sides.)

(t - 8)(t - 4) = 0 (Factor.)

t - 8 = 0   t - 4 = 0

t = 8   t = 4


Related Questions

answer ^^

super ez

lol

Answers

low,low

low, high

high,high

Low low , low high , high high.

Which of the following is a solution of 5x - 3y = 9?

Answers

Answer:

(0,3)

Step-by-step explanation:

please help me with these questions
will give the brainliest
Urgent
plz answer correctly
help!!!!!!!!!!
need explanation​

Answers

Answer:
9: 1/36 chance of getting the same number on both dice
10: a) 5 b) 4/25

Explanation:
9: a die has 6 sides with each number. So the chance of getting a number on a dice once is 1/6. The second dice is the same with 1/6 chance. But to have them both be the same number means you have to multiply the probability. (1/6)/(1/6)=1/36

10:
a) 1/4 of the discs are blue, meaning you have multiply 1/4 by 20 which equals 5
b) the probability of getting a red is 12/20. So the probability of not getting red is 8/20. But both simultaneously, would mean for multiplying them. 8/20 •8/20=64/400 Then simplified to 4/50.

*im not super sure about 10 b. Sorry :/

albert bought a jacket for ​$​34.35, a pillow for ​$​11.75, and a glove for ​$16.25. albert paid ​$60 and the rest he borrowed from a friend. If albert got ​$7.65 in change from the​ cashier, how much did albert borrow from his friend to pay for all the​ items?

Answers

Answer:

$10

Step-by-step explanation:

add all prices subtract $60 then add 7.65

h(x)=-x^2+6x. So what is the value of h(2)

Answers

✩ Answer:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

  [tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]

✩ Step-by-step explanation:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

✺ Quadratic polynomials can be factored using the transformation [tex]ax^2+bx+c=a(x-x_{1})(x-x_{2} )[/tex], where [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the solutions of the quadratic equation [tex]ax^2+bx+c=0[/tex]:

[tex]-x^2+6x=0[/tex]

✺ All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula:

[tex]-b=\frac{+}\\\sqrt{b^2-4ac}\\~~~~~~~~~~~~~2a[/tex]

✺ The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction:

[tex]x=\frac{\sqrt{-6\frac{+}\\\sqrt{6^2}}}{2(-1)}[/tex]

✺ Take the square root of [tex]6^2[/tex]:

[tex]x=\frac{\sqrt{-6\frac{+}\\{6}}}{2(-1)}[/tex]

✺ Multiply [tex]2[/tex] times [tex]-1[/tex]:

[tex]x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}[/tex]

✺ Now solve the equation [tex]x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}[/tex] when ± is plus. Add [tex]-6[/tex] to [tex]6[/tex]:

[tex]x=\frac{0}{-2}[/tex]

✺ Divide [tex]0[/tex] by [tex]-2[/tex]:

[tex]x=0[/tex]

       -OR-

✺ Now solve the equation [tex]x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}[/tex] when ± is minus. Subtract [tex]6[/tex] from [tex]-6[/tex]:

[tex]x=\frac{-12}{-2}[/tex]

✺ Divide [tex]-12[/tex] by [tex]-2[/tex]:

[tex]x=6[/tex]

✺  Optional : Factor the original expression using [tex]ax^2+bx+c=a(x-x_{1})(x-x_{2} )[/tex]. Substitute [tex]0[/tex] for [tex]x_{1}[/tex] and [tex]6[/tex] for [tex]x_{2}[/tex]:

[tex]-x^2+6x=-x(x-6)[/tex]

✩ Answer:

✺ Factored Form: [tex]x(x-6)[/tex]

✺ Exact Form: [tex]x=6[/tex]

✺ Graph Point Form: [tex]x=(6,0)[/tex]

[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]

             "ටᆼට"

It costs a flat rate of $35 for you to rent the ovens for as many hours as you want. You charge $29 per birthday cake. Your total costs is $470. Write and solve an equation to find how many birthday cakes were made.

Answers

470 = 29x+35

(x is number of birthday cakes)

subtract 35 from both sides,

435 = 29x

divide both sides by 29 to get x by itself,

15 = x

15 birthday cakes were made!

Answer:

35+29x=470 x=15 cakes

Step-by-step explanation:

3 35 represents rate for the oven and then 29 dollars per cake is the 29. 470 is the total amount of money you spent you just have to solve the equation from then to get x equals 15

Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian. The table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude.

Answers

Answer:

B) The temperature decreases by about 1.7° for each 1 degree increase north in latitude.

Step-by-step explanation:

Answer: B. Decreases by about 1.7 degrees every 1-degree latitude.

If x+y=w+z , then prove that AOB is a line.​

Answers

Answer:

it was a incomplete question

In which of the number lines does the plotted point represent a number greater than - 1 1/2? Check all that apply.

Answers

D and E is larger than -1 1/2

A square has four right angles and four equal sides, so lt Is a regular polygon.
OTrue OFalse​

Answers

it would be true for it

Answer: True

Step-by-step explanation:

because a polygon has equal sides and are easy to measure.

Find the distance between the two points in simplest radical form.
(3,9)and (0,2)

Answers

Answer:

7.62

Step-by-step explanation:

use distance formula

6x-4=3x+4 i need help doing this

Answers

Answer:

x=2.666 repeated

Step-by-step explanation: this is correct, pls mark brainliest.  take -4 and add it to the other side(+4). 6x=3x+8.  subtract 3x from 6x. 3x=8. take 3x and devide it on bolth sides. x=2.666 repeated

Answer:

x = 3/8

Step-by-step explanation:

6x -4 = 3x + 4

Step 1 - Add 4 on both sides

6x -4 = 3x + 4

+ 4 + 4

6x = 3x + 8

Step 2 - Subtract 3x on both sides

6x = 3x + 8

-3x -3x

3x = 8

Step 3 - Divide 3 on both sides

3x = 8

÷3 ÷3

Answer - x = 3/8

Sorry this took so long

FIND MEASURE 1 AND 3
PLS HELP ME
geometry

Answers

Answer:

1 = 45

3 = 45

Step-by-step explanation:

[tex]\angle {1}[/tex] and [tex]\angle {3}[/tex] is 45 degrees since the unmarked angle is 90 degrees, meaning that BOTH [tex]\angle {1} and \angle {3}[/tex] are equal.

Sketch a graph of the function f(x) = - (x+2) (x-4) (x-6) by finding the zeroes and determining
the sign of the values of the function between zeroes.

Answers

Uuuuuuuuhhhhhhhhhhhhhhhhhhh

On her first day in a hospital, Kiri receives u1 milligrams (mg) of a therapeutic drug. The amount of the drug Kiri receives increases by the same amount, d, each day. On the seventh day, she receives 21 mg of the drug, and on the eleventh day she receives 29 mg.

a. write down an equation, in the terms u1 and d, for the amount of the drug that she receives on the seventh day.

b. write down an equation, in terms of u1 and d, for the drug that she receives on the eleventh day.

c. write down the value of d and the value of u1.

Answers

Answer:

a. 21 = u1 + 6·d

b. 29 = u1 + 10·d

c. d = 2, u1 = 9

Step-by-step explanation:

a. The given parameters are;

The amount of therapeutic drug Kiri receives on her first at the hospital = u1 milligrams

The amount of drug increase received by Kiri each day = d

The amount of drug Kiri received on the seventh day = 21 mg

The amount of drug she received on the eleventh day = 29 mg

Therefore, we have an arithmetic progression with the formula for the nth term given as follows;

aₙ = a₁ + (n - 1)·d

Where;

a₁ = u1

n = The number of terms

Therefore, for the 7th day, the amount of drugs she receives, which is 21 milligrams, is given as follows;

a₇ = u1 + (7 - 1)·d = u1 + 6·d = 21

The equation for the amount of drugs she receives in terms of u1 and d on the seventh day is given as follows;

21 = u1 + 6·d

b. For the eleventh day, the amount of drugs she receives, which is 29 milligrams, is given as follows;

a₁₁ = u1 + (11 - 1)·d = u1 + 10·d = 29

Therefore, the equation for the amount of drugs she receives in terms of u1 and d on the  eleventh day is given as follows;

29 = u1 + 10·d

c. Therefore, we have two equations which are given as follows;

21 = u1 + 6·d................(1)

29 = u1 + 10·d..............(2)

Subtracting equation (1) from equation (2) gives;

29 - 21 = (u1 + 10·d) - (u1 + 6·d)

8 = 4·d

d = 8/4 = 2

d = 2

From equation (1), we have;

21 = u1 + 6·d = u1 + 6×2 = u1 + 12

21 = u1 + 12

21 - 12 = u1

∴ u1 = 9

d = 2, u1 = 9.

help me 4 + 2p = 10 ( 3/5p - 2)​

Answers

P= 6

4+2p = 10(3/5p - 2)
4+2p = 6p - 20
4 = 4p - 20
24 = 4p
6 = p

45 POINTS does anyone have 3.00 Algebra Basics Notebook filled out for k-12 ohva 9th grade Levenson, Dorothy class If so could you attach the word doc

Answers

Answer:

I do not but i can help you with algebra

It is my strongest math type

Step-by-step explanation:

Answer:

zoo wee mama

Step-by-step explanation:

Which is equivalent to 12/(323)

Answers

Answer:

38,76

Step-by-step explanation:

3/8 + (-7/8) As a fraction.

Answers

Answer:

7/8 x 3/8 = 21/64 in fraction form. 7/8 x 3/8 = 0.3281 in decimal form.

Step-by-step explanation:

there you go have a good day

Just add across. (3+-7)/8 = -4/8, or -1/2

what does how many times larger mean to do in math

Answers

Answer:

Divide

Step-by-step explanation:

When you see something say "how many times larger than __ is __" You will Divide

(e.g. how many times larger is 6 than 3? divide 6 by 3 and you'll find out that 6 is 2 times as large as 3)

Hope this helps!

Times= multiplication

How many times larger means how many times that numner can get multiplied by the smaller number.

Hope it helped! :)

The ratio of books
to magazines in the
children's section at the
library is 5-2. If there
are 225 books, calculate
the number of
magazines.

Answers

50 magazines

because ratio is division and 225/5 is 25 and you multiply the 2 by 25 and you get 50

There are 64 magazines in the library.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

The ratio of books to magazines in the children's section at the library is 5: 2.

Let number of books = 5x

And, Number of magazines = 2x

Here, There are 225 books in the library.

Hence, We can formulate;

⇒ 5x + 2x = 225

⇒ 7x = 225

⇒ x = 32

Hence, Number of magazines = 2x

                                               = 2 × 32

                                               = 64

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ2

Question 1 (4 points)
Simplify.
9 to the power of 2 and 9 to the power of 7


Answers

(9)2 and (9)7

If base is same then powers can be added

(9)2+7

(9)9


=387,420,489

ILL GIVE U A BRAINLIEST IF U GET IT RIGHT

(if you spam some random words just to get points, imma report ur comment so you dont get them)

Answers

Answer:

This ladder will be long enough because the top of the roof is 15ft 9in and that's < 25

Step-by-step explanation:

Answer:

This ladder will be long enough because the top of the roof is 15ft 9in and that's < 25

explanation:

HELP ME WITH THIS IT IS REALLY HARD

Answers

Answer:

-3. 1/8  

Step-by-step explanation: it’s negative three and 1/8

What is the equation of a line parallel to -5x + y= 2 that passes through the point with coordinates (-2,1)?

Answers

Answer:

y=5x+11

Step-by-step explanation:

You can solve this with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent.

First we have to rewrite the original equation, which is rewritten into y=5x+2 by subtracting -5x on both sides.

Next, plug in the coordinates we have into the point-slope formula (-2, 1), along with the slope from the original equation (5). To check, we can plug the coordinates back into the equation.

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

y-1=5x+10

y=5x+11

Check:

(1)=5(-2)+11

1=-10+11

1=1

Last one...maybe but please help tell what to put in the boxes and how to do the these model problems pls. PLS HELP ASAP!

Answers

Answer:

you put 12x in the first box and 6 in the second box\

I am unsure if you need the + sign

Step-by-step explanation:

Answer:

12x + 6

Step-by-step explanation:

You got it right

2 multiplied by 6x = 12x

3 multiplied by 2 = 6

So the answer is 12x + 6

Was this your question?

Which of the following numbers are less than -0.625
choose all that apply
A:-8/5
B:-5/8
C:-0.5

Answers

Answer:

A

Step-by-step explanation:

A -8/5 = -1.6 which is less than 0.625 because 0.625 is closer to zero

plz ive been stuck on this for an hour plzzz help?​

Answers

Answer:

X=-2

Step-by-step explanation:

!:'=/,)_"86"&8_)&485)&($8

The right answer is x > (-2). x it greater than or equal to (-2)
-

3.9-21 helpp please kikiki

Answers

Answer:

3.9-21=-17.1

Step-by-step explanation:

3.9-21

3.9+-21

=-17.1

-17.1 . Just do 21-3.9 then put a negative in front of it

Find the missing measure x° 65°

Answers

The answer is 25 degrees
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