Answer:
b) ±2
Step-by-step explanation:
3x² = 12
divide each side by 3 to get:
x² = 4
x = ±2
The value of the equation 3x² = 12 is x = ±2.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 6 is an equation.
We have,
3x² = 12
Divide 3 on both sides.
x² = 4
x = ±√4
x = ±2
Thus,
The value of x is ±2.
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The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?
Part A: Draw the pond and label what you know from the problem above.
Part B: What is the diameter of the pond?
Part C: How many seconds does it take the boat to get to the other side of the pond?
Step-by-step explanation:
See the photo let me know if you have a question
A magnifying glass makes an image appear 10times larger than its actual size. If the magnified image appears to be 1inch, what is the actual size of the image?
0.01
inch
0.01 inch
0.1
inch
0.1 inch
10
inches
10 inches
100
inches
100 inches
Answer:
0.1 Inch
Step-by-step explanation:
If the image is 0.1 inch, and it is magnified by 10, 0.1 times 10 will give you the new size of the image after it is magnified. You can undo it by dividing 10 since you would multiply it to magnify it.
Select the equation that contains the points (-1, -8) and (3, 4).
An online furniture store sells chairs and tables. Each day, the store can ship at most 55 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.
Answer:
t+c ≤ 55
Step-by-step explanation:
t+c is the total pieces of furniture and it must be at most (less than or equal to) 55 so t+c ≤ 55 is the equality that represents the possible values.
pls answer don’t scam
Answer:
y=x
step by step:
graph equation is y=mx+c
y intercept (c) is 0
gradient (m) is 1
gradient is represented as (m), so the equation is just y=1x, simplified-> y=x
Answer:
money = 2×tickets
Step-by-step explanation:
For 1 ticket sold, $2 is collected. for 8 tickets sold, $16 is collected. The relationship appears to be proportional with a constant of proportionality of $2 per ticket.
The axes are labeled "money" and "tickets", so we can write the equation ...
money = 2×tickets . . . . . where money is in dollars
__
If you like, you can use y to represent dollars collected, and x to represent tickets sold. Then the equation is ...
y = 2x
On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?
The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}
Answer:
Step-by-step explanation:
Domain is all the x's and range is all the y's. There's no reason why you couldn't pop any x into the given equation and calculate it and get a number out. So literally ANY x can be used and found on this graph. So the domain is all real numbers, one of the first two answers is going to be the right one. Now, the range is all the y's on the graph. The problem says that the parabola opens down, which means it has a highest point. There is no graph above that point. That's the point (-1, 16). So 16 is the highest y-value you can find on the graph. All the rest of the y's are smaller. The range is all the y's such that the y's are 16 and smaller...in math that's written {y | y <= 16} So the second answer is the right one.
The domain is all real numbers. The range is {y | y ≤ 16}
How to determine the domain and the range?The attached graph completes the question
Calculating the domain
The function is given as:
f(x) = -x² - 2x - 15
The above function is a parabola or a quadratic function.
Quadratic functions have their domain to be the set of all real numbers.
Hence, the domain is all real numbers.
Calculating the range
On the graph, we have the maximum value of y to be:
Maximum = 16
Because the parabola opens down, the range would be:
y ≤ 16
Hence, the range is {y | y ≤ 16}
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Please help Tysm!! <3
Answer:
68 homes
Step-by-step explanation:
1. First, let's set up a proportional relating the home to the # of hours.
[tex]\frac{17}{49} = \frac{x}{196}[/tex]2. Now, let's see if we can divide 196 by 49. If so, the quotient we get is the number we multiply 17 by to get x.
[tex]196/49 = 4[/tex] This means that we multiply 17 by 4 to get x.[tex]17 * 4 = 68[/tex]Therefore, the answer is 68 homes.
WILL GIVE BRAINLEST
Robert is ordering jerseys for the baseball team
A local company charges $5,25 for each jersey and $45 to create the design
An online company charges $7.75 for each jersey and $20 to create the design
For which number of jerseys is the cost the same at both companies?
A)26 jerseys
B)1 jersey
С)5 jerseys
D)10 jerseys
Answer: D) 10 jerseys
Step-by-step explanation:
Let j represent the number of jerseys and C for total cost
Local company eqn: C = 5.25j + 45
Online company eqn: C = 7.75j + 20
Set both sides equal to solve:
5.25j + 45 = 7.75j + 20
5.25j - 7.75j = 20 -45
- 2.5j = -25
[tex]\frac{-2.5j}{-2.5}=\frac{-25}{-2.5}[/tex]
j = 10
Therefore, the cost is the same for both companies when 10 jerseys are sold
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1. 15. How much will the fabric cost? [1 ft = 0. 305m] $9. 20 $2. 12 $2. 81 $30. 16.
Answer: C = 6.5l
Cost is $6.50 per yard.
Step-by-step explanation:
2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.
Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81
Joy wants 8 feet of fabric. First convert this to meters which would be:
= 8 feet x 0.305 meter per feet
= 2.44 meters
The cost of this fabric would therefore be:
= Cost per meter x Number of meters
= 1.15 x 2.44
= $2.806
= $2.81
In conclusion, the cost of the fabric would be $2.81.
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I need these answers in 5 MINUTES PLZ HELP
Answer:
30? I might be wrong soooo
Step-by-step explanation:
15*2=30
You need $145 in cash if you withdraw money from your savings account using the ATM how much will you need to withdraw in order to have at least one $145 based upon how ATM’s dispense money?
Answer:
290
Step-by-step explanation:
145 withdrawal free + 145 in cash = 290.
[tex]\boxed{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2} }[/tex]
- Need a step-by-step answer!
- Thank you!
[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1}{1-n^2}+\dfrac{2}{2-n^2}\dots \dfrac{n}{1-n^2}\right)[/tex]
Take LCM as 1-n^2[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1+2+3\dots n}{1-n^2}\right)[/tex]
1+2..n=n(n+1)/2[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{\dfrac{n(n+1)}{2}}{1-n^2}\right)[/tex]
[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n(n+1)}{2(1-n^2)}[/tex]
[tex]\\ \sf\Rrightarrow \lim_{n\to infty}\dfrac{n(1+n)}{2(1-n)(1+n)}[/tex]
[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n}{2(1-n)}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{\infty}{2-\infty}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{-1}{2}[/tex]
[tex]{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2}) } \\ = {\sf \lim_{n \to \infty} (\frac{1 + 2 + ..n}{1-n^2})} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \div 1 - {n}^{2} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \times \frac{1}{ 1 - {n}^{2}} )} \\ ={\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2(1 - {n}^{2} )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(1 + n)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 (1 - n )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 - 2 n } )} \\ = \sf \frac{ \infty }{2 - \infty } \\ = \frac{ - 1}{2}
[/tex]
Answer:
[tex] \frac{ - 1}{2} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Which system of equations is graphed on the coordinate plane below?
Answer: 12,2
Step-by-step explanation:
Answer:
so the answer is TRUE
Step-by-step explanation:
I'm not sure how to explain but ik it it
what 2+2 x10+2X2+10=
Answer:
36
Step-by-step explanation:
Use PEMDAS:
2*10 is 20
2*2 is 4
So the equation is now
2+20+4+10=
Now add:
36
Thus the solution is 36
Hope this helps!
Use the graph to describe what transformation has taken place. List your answer below.
please help!
Answer:
reflection over the y axis
Step-by-step explanation:
What is the y-intercept of the graph of the function f(x) = x2 3x 5?.
Answer:
f(x) =x2 3x 5?
c = 5
therefore the solpe = 5
Sasha drinks 2.5 liters of water each
weekday. She drinks a total of 3 liters of
water on the weekend. What is the total
volume of water, in milliliters, Sasha drinks
each week?
Answer:
17000
Step-by-step explanation:
2.5
.5
11.0
3*2=6
11
+6
17
what is 2244 divided by 51 show work
Answer:
44 Step-by-step explanation:
first you want to put the Question like this in the calculator
2244÷51=44
is y=3/4x proportional or non proportional
PLZZ HELP FAST
Use the distributive property to fill in the blanks
Answer:
first blank : 6
second blank : 5
Step-by-step explanation:
help finals study guide please I want to just go on break
Step-by-step explanation:
(note: I'm only answering the ones I know vs giving you wrong answers for the others!)
1. ROS=Obtuse (larger then ninty degrees)
2. octagon has 8 angles (octo means eight, after all!)
3. If a figure has three sides, it is a triagle (not positive on this one)
4. symmetric property of congruence (this one's a simple search :p )
5. N/A (although I believe its angle BEC=124 degrees, as every other choice Is proven to be true)
6. congruent complements theorem (this is because we are given that 3 is a suppliment of 4. we are also given that 2=4. Based on this, then 1=3 is congruent based on 1 being suppliment of 2, 2=4, and 3 being a suppliment of 4)
7. N/A
8. N/A (the picture is too fuzzy for me to make any ideas)
I'm sorry I couldn't solve them all, but I hope this at least gets you somewhere! Have a great day!
38 degrees 2x degrees +6 degrees
Help!
NO LINKS!!!
Choose the correct set of y-values for the function y = -2x when x = -2, 0, 2.
A. (-2, -4), (0, 0), (2, 4)
B. (-2, 4), (0, 0), (2, -4)
C. (-2, -4), (0, 0), (2, -4)
D. (-2, 4), (0, -2), (2, 4)
Answer:
hi this should be your answer (-2,4),(0,0),(2,-4)
Step-by-step explanation:
hope this helps!
I NEED HELP PLEASE!!!!
Perform integer operations
1 2/3(1 + 1/4) ÷ 1/4
Answer:
8.33 is keeps repeating
Step-by-step explanation:
3(x+2)+5x how do i simplify that expression?
2(4+3) yw OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
Under his cell phone plan, Jonathan pays a flat cost of $57 per month and $3 per gigabyte. He wants to keep his bill at $71.10 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Jonathan can use while staying within his budget.
Answer:
(71.10-57)/3=amount of gigabytes, 14.10/3=4 gigabytes allowed
Step-by-step explanation:
$71.10-$57=$14.10, the amount of money that Jonathan can spend on gigabytes. Then, determine how many times 3 can go into 14.10: 4 times. Jonathan can use four gigabytes and keep his bill under $71.10 a month.
You went to a carnival. Each ride cost $2.50.
Let c represent the cost and n represent the
number of rides.
Complete all 10 problems
Answer:
11. 10+2r 12.-7v+7 13.1-2b 14. 5n+10 15. 12v 16.-12n 17. 0 18. -4n+10 19. 5b+9 20. 5v-8
Step-by-step explanation:
Sorry I don't have much time. I'll just send you a tip
If you complete all 10 problems, it's a lot of work... you shouldn't send just 5 points or everyone's not going to answer this.
You're lucky because I just answered this. Thanks!
:)
The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.
Answer:
130% increase
Step-by-step explanation:
(322-140)/140(100)=130% increase.
(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)
cross multiply, and you get 130%.
subtract 3x-7x³+5x² from the sum of 2+8x²-x³ and 2x³-3x²+x-2
Answer:
(2 + 8 x^2 - x^3) + (2 x^3 - 3 x^2 + x - 2) - (3 x - 7 x^3 + 5 x^2) = 8 x^3 - 2 x
Step-by-step explanation: