Answer:
Move all terms to the left side of the equation and simplify.
3x²−12x−21=0
Use the quadratic formula to find the solutions.
(−b±√b²−4(ac))/2a
Substitute the values a=3, b=−12, and c=−21 into the quadratic formula and solve for x.
(12±√(−12)²−4⋅(3⋅−21)0/2⋅3 Simplify => x=2±√11
The result can be shown in multiple forms.
Exact Form: x=2±√11
Decimal Form: x=5.31662479…,−1.31662479…
Step-by-step explanation:
Step-by-step explanation:
The quadratic equation is
x=−b=−√b2−4ac2a
for a quadratic taking the form
ax2+bx+c=0
So for this equation it is
x=−(−12)±√(−12)2−4⋅3⋅112⋅3
x=12±√144−1326
x=12±√4⋅36
x=6±√33
Exhibits
Sandra makes an income of $10,000 a month. She pays $24,000 for
mortgage annually. What percent of Sandra's income pays for her
mortgage? Enter the percent in the box provided.
Answer:
20%
Step-by-step explanation:
For exercises 1 and 2, use the figure at the right.
1. what is m<4 if m<8 = 40 degrees
Answer:
the figure is missing. please provide the figure.
what is the perimeter of 6 and 2
Answer:
In order to calculate perimeter, you need to add together the lengths of all four sides of the square. You are given the length of one side. Remember, all sides of a square are equal, so really you already have the measures of each side. Then, you add them together, so 6 + 6 + 6 + 6 = 24 inches.
Step-by-step explanation:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.
Answer:
16
Step-by-step explanation:
P=2(L+W)
=2(6+2)
=16
2/5 * 2/5 * 2/5
I know it but I’m not sure
Answer:
0.064
Step-by-step explanation:
Which number line shows the solution to w - 2 ≤ 8? *
(don't delete my question)
Answer:
closed circle going left from 10
Step-by-step explanation:
B (*￣3￣)╭
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
c
Step-by-step explanation:
AND DONT DELETE MY ANSWERS THEY KEEP ON GETTING DELETED IM JUST HELPIING
The manager of a store increases the price of a popular product by 5%. Let t be the original price of the product. The new price is t+0.05t.
what is the solution of
x/3+2=3
Answer:
x=3
Step-by-step explanation:
x/3+2=3 (subtract 2)
x/3=1 (multiply by 3)
x=3
Estimate the volume of a soccer ball that has a diameter of 8 inches
Answer:
269 in³
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³.
Here the ball (sphere) diameter is 8 in, meaning that the radius is 4 in.
Thus, the volume of this ball is:
V = (4/3)π(4 in)³
If an "estimate" is good enough, use 3.14 for π:
V = (4/3)(3.14)(4 in)³ = 269 in³
Can someone help out
if she were to average that same commission each week how much would she make in commissions in a year treating a year as having exactly 52 weeks
Kelly got a part time job and had to pay $150 worth of taxes, which was 10% of her monthly payment. How much money did she make before paying taxes?
Answer:
$1,500
Step-by-step explanation:
To find how much money she made before paying taxes, divide 150 by 0.1:
150/0.1
= 1500
So, Kelly made $1,500 before taxes
Answer:
$1,500
Step-by-step explanation:
Turn 10% into a decimal: To turn a percent into a decimal, you move the decimal twice to the left.
10%=.1
Divide: $150 divided by .1=1500
$1,500
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Good luck!
Brainliest?!?!
The height of a triangle is 8 m less than its base. The area of the triangle is 42 m². The situation can be represented by the equation 12b(b−8)=42, where b is the length of the base in meters.
What is the length of the base?
Enter your answer in the box.
Answer:
14
Step-by-step explanation:
A = 1/2 BH
B = 5H
A = 490
490 = 5/2 * H^2
H = 14
PLEASE HELP ME WITH THIS IT IS 12 AM
5. What is ADCA?
A Acute
C Equiangular
D Not here
B Obtuse
i need help with the volume, tsa and x please
Answer:
Volume = 42 units^2
x = 5 units
Total Surface Area = 96 units
Step-by-step explanation:
Volume
V = bh, where b = 1/2 * 3 * 4 and h = 7,
= 6 * 7 = 42 units^2
x
You can solve for this variable by using the pythagorean theorem;
a^2 + b^2 = c^2, where a = 3 and b = 4,
9 + 16 = x^2
= 25 = x^2
= x = 5 units
Total Surface Area
You can solve this by multiplying the perimeter of the base (3 + 4 + 5) by the height and adding that to two times the area of the base:
7 * (3 + 4 + 5) + 2(1/2*3*4)
= 7*12 + 12
= 96 units
HURRY GETTING TIMED
Which expression is equivalent to 20 n=3
20 n=3 + 20n=3
What is the area of this trapezoid?
44 in²
64 in²
168 in²
192 in²
Answer:
44 in² = 1,936
64 in² = 4,096
168 in² = 28,224
192 in²= 36,864
Step-by-step explanation:
Raise the number to the power of 2.
Ex : 192² raise by the the power of 2 is 36,864
Hope this helps you :)
Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
Part A
How many meters per second does Sheila travel?
Part B
How long in seconds would it take Sheila to travel 90 meters at this speed?
Answer:
6 m/s
15 seconds
Step-by-step explanation:
Speed = distance / time
54 / 9 = 6 m/s
Given the same speed, we can determine the time she would use to travel
time = distance / speed = 90 / 6 = 15 seconds
I need helppp plzzzzz
Answer:
b^8
Step-by-step explanation:
Answer:
b^8, with m = 8
Step-by-step explanation:
Apply the algebraic rule: (x^a)/(x^b) = x^(a-b)
Note: This rule is true because we can cancel all b factors that occur in both numerator and denominator.
From this rule, we know that (b^10)/(b^2) = b^(10-2)
b^(10-2) can be written b^8
Anna wants to celebrate her birthday by eating pizza with her friends. For $42.50 total, they can buy p boxes of pizza. Each box of pizza costs $8.50.
Write an equation to match this situation.
Answer:
A.
Step-by-step explanation:
p=5
Kian is twice as old
as Xhendric. The sum
of their ages is 36. How
old are they?
(pls answer with solution)
Answer:
12 and 24
Step-by-step explanation:
Klan is 24 and Xhendric is 12
you have 200 points to use for extra power boosters in your game. if you can use your points for 5 boosters, how many points does each power booster cost?
what is the solution of
3x=-12
Answer:
x = -4
Step-by-step explanation:
divide both sides by 3 to get x = -4
Answer:
good luck on the rest of your hmwork :D
Step-by-step explanation:
Lenni has a rectangular garden with a length of 5x-7 and a width of x-2.
Write an expression for the total perimeter in terms of x.
_______
Lenni measured the perimeter to be 66 feet. What is the value of x? Enter a number only in the box below.
_____ feet
Answer:
ths for the points TEHEHEHEHE
Step-by-step explanation:
Answer:
P = 12x - 18, x = 7 feet
Step-by-step explanation:
We know that the formula for the perimeter of a rectangle is:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width. So we just substitute in for variables:
P = 2 (5x - 7) + 2 (x - 2)
We distribute by foiling:
P = 10x - 14 + 2x - 4
Then combine like terms:
P = 12x - 18
This can be further factored to 6(2x - 3) if needed.
Since we know the expression for perimeter, we can just set it equal to 66 feet, like this:
6(2x - 3) = 66
Divide both sides by 6:
2x - 3 = 11
Add 3 to both sides:
2x = 14
Divide both sides by 2:
x = 7 feet
i need help this is dude tomorrow
WHATS 9+10
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠰⠛⠻⢿⣿⠿⠿⠟⡿⠿⢿⣿⠿⠿⣿⠃⠀⠟⠛⠿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣴⡄⠀⠘⡇⠀⣤⣤⡇⠀⣼⣿⠀⢠⡏⠀⢠⣦⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠛⠃⠀⡼⠀⠀⣿⣿⠀⠀⠛⠃⠀⢸⠁⠀⣼⡏⠀⢠⡟⠉⢻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣾⣷⣶⣾⣿⣿⣷⣶⣶⣶⣶⣿⣶⣶⣿⣷⣶⣾⣷⣶⣾⣿⣿⣿⣿
Answer:
19
Step-by-step explanation:
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21
Answer:
Step-by-step explanation:
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠰⠛⠻⢿⣿⠿⠿⠟⡿⠿⢿⣿⠿⠿⣿⠃⠀⠟⠛⠿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣴⡄⠀⠘⡇⠀⣤⣤⡇⠀⣼⣿⠀⢠⡏⠀⢠⣦⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠛⠃⠀⡼⠀⠀⣿⣿⠀⠀⠛⠃⠀⢸⠁⠀⣼⡏⠀⢠⡟⠉⢻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣾⣷⣶⣾⣿⣿⣷⣶⣶⣶⣶⣿⣶⣶⣿⣷⣶⣾⣷⣶⣾⣿⣿⣿⣿
21,/ or,/ 19
Help please!!!!!!!!!!!!!!!!!!!!!
Answer: 2 is D
Step-by-step explanation:
which letter would be the most meaningful variable for the problem situation the weight of a box increase by 5
The author uses paragraph 1 to A) establish his credentials. B) show that science and fun are linked. C) explain how roller coaster carts work. D) tell which parks give the most thrills. Eliminate
The inference shows that the author uses paragraph 1 to B. show that science and fun are linked.
What is an inference?An inference simply means the conclusion that can be deduced from the information given on an excerpt.
In this case, the inference shows that the author uses paragraph 1 to show that science and fun are linked. This was illustrated in the story about roller coasters.
Learn more about inference on:
https://brainly.com/question/25280941
Answer:
The correct answer is B
Step-by-step explanation:
I took this test