Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
OX= -6 or x = 1
OX=-3 or x = -2
x= -1 or x = 6
Ox=2 or x=3

Answers

Answer 1

Answer:

x = -6 and x = 1

Step-by-step explanation:

Given the equation (x + 2) (x + 3) = 12

Equate to zero;

(x + 2) (x + 3) - 12 = 0

Expand

x^2+3x+2x+6-12 = 0

x^2+5x - 6  = 0

Factorize

x^2 + 6x - x - 6 = 0

x(x+6)-1(x+6) = 0

(x+6)(x-1) = 0

x+6 = 0 and x -1 = 0

x = -6 and x = 1

Hence the zeros are x = -6 and x = 1

Answer 2

Answer:

It's A: -6 or 1

Step-by-step explanation:

Edg 2022


Related Questions

Anybody good in geometry?

Answers

Answer:

A) <6, 2>

Step-by-step explanation:

Moves along x-axis to the right six units. Moves along y-axis upward two units.

Answer:

which vector translated the triangle to its image?

A. < 6 , 2 >

need help solving..........

Answers

Answer:

Angle A always equal angles T

the first answer

Answer: sry i dont know

Step-by-step explanation:

the sum of two consecutive multiples of 4 is 36 . find the multiples ???
PLZZZZZZZZZ help me now ​

Answers

Answer:

The numbers are 16 and 20

Step-by-step explanation:

Let the multiples be: x+4 and x+8

Sum is 36, so we can make an equation:

x+4+x+8=36

2x=36-12

x=12

The numbers are 12+4=16, 12+8=20.

Hope this answer helped you! If so, please leave a rating and let me know if I was correct. (Hopefully Brainliest, but totally up to you.) Have a great day!

Mariana is painting her new bedroom purple. She has decided to mix her own purple paint. To create the shade of purple she likes best, she must maintain a ratio of 5 ounces red to 6 ounces blue. If she has 21 ounces of blue paint, how much red paint will she need?

Answers

Answer:

Red paint needed = x = 17.5 ounces

Step-by-step explanation:

Ratio of red to blue paint = 5 ounces : 6 ounces

If she has 21 ounces of blue paint, how much red paint will she need?

Ratio of red to blue paint = x ounces : 21 ounces

Equate the ratios

5 : 6 = x : 21

5/6 = x/21

Cross multiply

5*21 = 6*x

105 = 6x

x = 105/6

x = 17.5 ounces

Red paint needed = x = 17.5 ounces

Sheila is flying a kite with a string that makes a 59-degree angle with
the sand. If the height of the kite above the ground is 97 feet, how
long is the string? (Please use the exact ratio to calculate the missing
side and round your answer to the nearest hundredth.)

Answers

Answer:

113.16 feet

Step-by-step explanation:

Representing the given details appropriately with a right angle triangle. Let the length of the string for the kite be represented by x. Applying required trigonometric function, we have:

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Sin [tex]59^{o}[/tex] = [tex]\frac{97}{x}[/tex]

x = [tex]\frac{97}{Sin59^{o} }[/tex]

  = [tex]\frac{97}{0.8572}[/tex]

  = 113.1591

x = 113.16 feet

Thus, the string for the kite is 113.16 feet long.

Please Help!!!!!! Use what you've learned today about the sum of the interior angles of triangles and quadrilaterals to determine the measure of ALL unknown angles in the figure below.​

Answers

Answer:

m = 116

x = 24

y = 76

z = 40

Step-by-step explanation:

For startes the interior angles of triangles always add up to 180 degrees.

That means....

73 + 83 + x = 180

z + m + x = 180

z + y + 64 = 180

Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.

So m + 64 = 180

Let's start with 73 + 83 + x = 180

If you add 73 and 83 you get 156

x + 156 = 180 then subtract 156 from both sides and

x = 24

Then use m + 64 = 180 subtract 64 from both sides and

m = 116

z + m + x = 180 become

z + 116 + 24 = 180

Add 116 and 24 and you get 140

z + 140 = 180 subtract 140 from both sides and

z = 40

Check to make sure m + x + z = 180

24 + 40 + 116 = 180

z + y + 64 = 180 becomes

y + 40 + 64 = 180

40 + 64 = 104 so

y + 104 = 180 subtract 104 from both sides and

y = 76

Congratulations you have found all of the angles!

Test Scores. You are taking a math test in which items in part A are worth 10 points and items in part B are worth 15 points. It takes 3 min. to complete each item of part A and 6 min. to complete each item in part B. The total time allowed is 60 min. and you do exactly 16 questions. How many questions of each part did you complete? Assuming that all your answers were correct, after all you had a GREAT Math Teacher, what was your score?

Answers

Answer:

465 is the total points he got and he solved 14 in part A and 2 in part B

hope it helps you

mark me as brainlist

thank you

An online furniture store sells chairs and tables. Each day, the store can ship at most 25 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

Answers

9514 1404 393

Answer:

  t + c ≤ 25

Step-by-step explanation:

"At most 25" means "less than or equal to 25." The total number of pieces of furniture is the sum of the numbers of tables and of chairs: t + c.

The shipping constraint can be written as ...

  t + c ≤ 25

What is the answer to 2 + n = 16

Answers

Answer:

Original Equation: 2+n=16

Subtract 2 from both sides: 2+n-2=16-2

Simplify: n=14

Hope this helps!

n = 14
14 + 2 = 16
To do this correctly, subtract 2 on both sides. This cancels out the 2 on the left, leaving you with n = 16-2. 16-2=14

Pls help fast!!
Andrew is buying a new bike. The bike shop is having a special discount of 25% off all bikes. The bike Andrew wants usually sells for $550. What will be the final
price of the bike, including 6% sales tax? Be sure to write all answers to the nearest hundredth.
Discount Amount:
Tax Amount:
Final price:

Answers

the final price is $437.25

25%=0.25
1-0.25=0.75
550x0.75=412.5
6%=0.06
412.5x1.06=437.25$

convert the decimal into a reduce fraction.

Answers

Answer:

hey i dont really know, but look up calculator soup, it has a ton of different calculators and may be able to help u

Step-by-step explanation:

/

The measure of an angle is 89. Find the measure of its supplement

Answers

Step-by-step explanation:

Supplementary angles are equal to 180°. To determine the supplement of any angle, subtract the given angle from 180°.

[tex] \text{Supplement \: of \: 89 \: \degree = 180 \degree - 89\degree = \boxed{ \bold{ \text{91\degree}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

# [tex] { \underbrace{ \text{Carry \: On \: Learning}}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

h(x) = x^3 - 2x
g(x) = 3x + 4 Find (h+g)(4)

Answers

9514 1404 393

Answer:

  72

Step-by-step explanation:

  h(4) = 4^3 -2·4 = 64 -8 = 56

  g(4) = 3·4 +4 = 16

Then the sum is ...

  (h+g)(4) = h(4) + g(4) = 56 +16

  (h+g)(4) = 72

What is 0.3709 rounded to 2 decimal places?

Answers

Answer:

If its to the left the answer is 1 and if its to the right the answer is 10 i think

Step-by-step explanation:

sorry if its wrong

Hello person could you possibly help me with this question?

Answers

Answer:

1)whole numbers

2)integers

3)rational numbers

An African elephant weighed 209 lbs when it was born. Baby elephants gain an average of 38 lbs per week.

Part A

Write an equation that could be used to calculate the number of weeks, w, it would take a baby elephant to weigh 1197 lbs.

Part B

How many weeks will it take for the baby elephant to weigh 1197lbs?

Enter your equation, your answer, and your work or explanation in the space provided.

Answers

Answer:

Part A: W= (1197- 209)/ 38

Part B: 26 Weeks

Step-by-step explanation:

Part A:

We first need to subtract the 209lbs from the goal of 1197lbs. Now we have how many pounds we need to gain. Then we need to divide it by how many pounds we are gaining a week. Now we have how many weeks it will take

Part B:

W= (1197- 209)/ 38

W= 988/ 38

W= 26

Please help, will give brainelst to right answer.

Answers

Where is the question?

Answer:

What do you need help on.

Step-by-step explanation:

Samantha is a school leader. She wants to decide whether makeup should be allowed in school or not? So she collected random samples of 200 girls regarding girl's make up preference. There are 650 girls in her school.

Answers

Answer:

What's the question? Did not understand.

If f(x) = 12 – 2 and g(x) = x + 3, find all values of x, to the nearest tenth, for
which f(x) = g(x).

Answers

Answer:

x=7

Step-by-step explanation:

f(x) =g(x)

12-2=x+3

10=x+3

10-3=x

x=7

The sum of two numbers is 15. Four times the smaller number is 60 less than twice the larger number. What is the larger number?

Answers

Answer:

just put the words into math:

x+y=15

4x = 2y-60

Now just solve the system for y.

Do the following lengths form a right triangle?

Answers

Answer:

2 3 4 do, 1 does not

Step-by-step explanation:

Using the Pythagorean Theorem, we can see that the square of the 2 smaller sides, when added together, is equal to the square of the longer side of each of the example triangles.

2 3 4 are the answers to this I’m sure

f(x)=3? What is the input value

Answers

Answer: (The explanation is in the image)

You might need to zoom in on it to see

tysm for whoever helps !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

21

Step-by-step explanation:

When you simply the fractions down, you will get this

[tex]16 + 5 = 21[/tex]

Hope this Helped

How would you solve this problem?

Answers

Answer:

x = 47

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles for a triangle

2x-2   = x + 45

Subtract x from each side

2x-2 -x = x+45-x

x-2 = 45

Add 2 to each side

x-2 +2 = 45+2

x = 47

Answer:

47 degrees

Step-by-step explanation:

Due to the Exterior Angle Theorem, you know that the exterior angle is equal to the sum of the opposite two interior angles:

[tex]2x-2=x+45\\x=47[/tex]

Find the square root of the number. -4 square root -32 The square root is​

Answers

Answer:

-32 + 2i.....

yan po Ang sagot ko jan

Mr. Mika paid a total of $150 to rent a room at a hotel for two nights. The table shows information about four other
guests who rented rooms at the hotel.
Hotel Bills
Number of Nights
Room Was Rented
Total Amount
Paid
Guest
1
6
$450
II
3
$225
III
8
$600
IV
5
$360
Which guest did NOT pay the same nightly rate that Mr. Mika did?

Answers

Answer:

Well, one night at the hotel equals $75.

Step-by-step explanation:

All you have to do is mulitlpy the nights by $75.

The last one is wrong it should be

5 nights = $375.

Hope this helps! Bye

B. Decide whether each quantity is constant or variable
1. The number of eggs in a dozen. 2*12 = 24 eggs
.
2. The number of a person's heartbeat per minute. 12d
3. The number of minutes in an hour.
4. The length of a meter.
5. The number of enrollees in your school each year.
maayos na sagot po...​

Answers

Answer:

ituturo ko ang sagot pero follow me muna sa brainly

Plsss I need help !!!!

Answers

Answer:

acute

Step-by-step explanation:

Answer:

Acute triangle.

Explanation:

All sides are under 90 degrees.

A bit of help if you need it:

Acute: all sides are under 90 degrees

Right: One side is 90 degrees

Obtuse: One side is above 90 degrees

Please help will give brainliest!

Answers

Answer:

Should be 1 if im not wrong Then Mark Me brainliest

Step-by-step explanation:

a negative times a neg equals a posative

Neg x pos = neg

pos x neg = neg

pos x pos = pos

neg x neg = pos

so if there greater then over neg<, >,=

You would look at the problem for given f(x)=

x → -1 and neg times neg more or less

-1 x -1 = 1

Evaluate the function when x=−2, 0, and 5.

g(x)=3x−2


g(−2)=

g(0)=

g(5)=


I'm very confused, please help!

Answers

g(x) = 3x-2
g(-2) = 3(-2) - 2
g(-2) = -6-2
g(-2) = -8

g(0) = 3(0)-2
g(0) = 0-2
g(0) = -2

g(5) = 3(5)-2
g(5) = 15-2
g(5) = 13

Answer:

Step-by-step explanation:

g(x)=3x−2

g(−2)= 3(-2) - 2 (after substituting -2 for x):  g(-2) = -6 - 2 = -8

g(0)=  3(0) - 2 = -2

g(5)=  3(5) - 2 = 13

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