Find all values of $x$ such that $\sqrt{4x^2} - \sqrt{x^2} = 6$.
Answers
9514 1404 393
Answer:
x = -6 or 6
Step-by-step explanation:
The square root is always positive, so the equation simplifies to ...
[tex]\sqrt{4x^2}-\sqrt{x^2}=6\\\\2|x|-|x|=6\\\\|x|=6\\\\x=\{-6,\ 6\}[/tex]
_____
The graph shows the solutions to f(x) = 0, where f(x) = √(4x²) -√(x²) -6.
Related Questions
A factory produces 2 bottles of sparkling water for every 8 bottles of plain water. How many bottles of sparkling water does the company produce when it produces 600 bottles of plain water?
Answers
Answer:
150
Step-by-step explanation:
600/8*2
2. State whether the change is increasing or decreasing. Round your percent of change to the nearest integer percent. originally: 55 tickets presently: 90 tickets tickets
Answers
Answer:
The change is increasing with a percentage of change of 64%
Step-by-step explanation:
Since we have the present grater than the original, then the change is increasing
Secondly, we want to calculate the percent of change
Mathematically , that will be ;
(present - original)/original * 100%
= (90-55)/55 * 100%
= 35/55 * 100% = 63.63 which is approximately 64%
Pedro has a student loan of $62,845. This loan has a simple interest rate of 7% per year. What is the amount of interest that Pedro will be charged on this loan at the end of the year?
Answers
P=62,845
R=0.07 or 7%
T=1 year period
So overall your equation is 62845*0.07*1=$4,399.15
Now at this point the interest is added onto the principal amount to figure out some new amount after one year so:
62845.00+4399.15=$67,244.15
can someone please help me with this question? i’m not sure how to write it out. i really need help!!!!
Answers
Answer:
attached.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
you will have x+2 >1 and -(x+2) >1
remember when you divide by a negative, you switch the inequality sign. for the second expression, you switch from > to <
For the graph, shade in the areas where the red line is greater than 1 (the green line) on both sides of the V shape.
please give thanks by clicking the heart button! :)
please help i will give brainlest
Answers
Answer:
Y - (5) = -2 (x - 0)
Step-by-step explanation:
Find a perfect point, in this case I used the y-intercept (0,5), and find the slope. Then plug into the equation y - y1 = m (x - x1) and simplify. This will give you the slope point form of the line.
Answer:
Step-by-step explanation:
Rise over run.
m= (y2-y1)/ (x2-x1)
plug in (2,1) and (1,3)
so the slope is -2
point slope form y=mx+b
m is the slope
y = − 2 x+
HELP! IS THIS RIGHT?
Answers
Yes, this is the right answer
what does 7/18 estimate to 0,1/2,1
Answers
Answer: 11/2
Step-by-step explanation:
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. Five gallon of paint covers 1500 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool?
Answers
Answer:
2 cans
Step-by-step explanation:
Given that :
Radius of pool = 30 feets
Using the relation for the Area of a circle :
Area = pi*r^2
Thus,
Area of pool = 3.14 * 30^2
Area of pool = 3.14 * 900 = 2826feet²
Paints are sold in cans of 5 gallon
5 gallon of paint = 1500 feet²
Least number of 5 gallon can required :
2826 feet² / 1500 feet² = 1.884 cans
Hence,
Least number of 5 gallon can required = 2 cans
What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
O (0, 0)
O (0,4)
Answers
30 in
18 in
b
What is the length of the missing leg?
b
inches
Answers
Katarina earns $14.60/hour for regular hours of work. She is paid time and a
half for overtime work. What is her overtime rate of pay?
Answers
Answer:
$21.90
Step-by-step explanation:
You start by doing 14.60*1.5 because for overtime work is says she is paid time and a half. When you do the equation, you get $21.90.
Hope this helps!
(4, -4) and (-8, -1)
This need to be put in slope intercept form and I need the steps thank you!
Answers
Answer:
y = [tex]\frac{-1}{4}[/tex]x - 3
Step-by-step explanation:
(4, -4) (-8, -1)
y = mx + b
equation for slop: [tex]\frac{y1 - y2}{x1 - x2}[/tex]
[tex]\frac{-4 + 1}{4 + 8}[/tex] = [tex]\frac{-3}{12}[/tex] = [tex]\frac{-1}{4}[/tex]
y = [tex]\frac{-1}{4}[/tex]x - 3
Solve: 12 + (-13) - 12 - 5
A: 14
B: -12
C: -18
D: 45
Answers
Answer:
-18
(i think this is right, sorry if i'm wrong)
In a chicken farm a diet is given, to gain weight, with a minimum composition of 15
units of a substance A and another 15 of a substance B.
There are only two classes of compounds on the market: type X with a composition of one
unit of A and 5 of B, and the other type, Y, with a composition of five units of A and one of B. The
price of type X is $ 10 and type Y is $ 30.
What quantities of each type must be purchased to cover the needs at a cost
minimum?
Answers
Step-by-step explanation:
id-9384026088
password-9999
If 5% sales tax is added to her total, what is the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible without going over?
Answers
Answer:
Approximately $14.20
Step-by-step explanation:
Let the cost of the groceries be represented by c, then;
cost price + VAT = c + (5% of c)
To get the value of the cost, c, that would make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price would be close to $15.
Let c = $14.20, then;
So that,
c + (5% of c) = 14.20 + (5% of 14.20)
= 14.20 + 0.71
= $14.91
Thus, the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible is approximately $14.20.
What is the length of the unknown side of the right triangle? (1 point)
A) 21
B) 29
C) 400
D) 441
Answers
Answer:
The answer is a
Step-by-step explanation:
will give brainliest if its right
Answers
Answer:
answer D
Step-by-step explanation:
A and C have to be equal
B and D have to be equal
A+B+C+D have to equal 360
so, two equations
5y-3=x+3y
4x+5y-3+x+3y=360
4x=156
x=39
5y-3=9+3y
2y=42
y=21
Hope this helps plz hit the crown :D
(19x-18) (7x+1) (10x-9) find x
Answers
Answer:
x = 5
Step-by-step explanation:
combine the like terms :)
Does this table represent a function? Why or why not?
x
2
4
6
8
10
y
1
3
3
4
6
A. Yes, because every x-value corresponds to exactly one y-value.
B. No, because one x-value corresponds to two different y-values.
C. No, because two of the y-values are the same.
D. Yes, because all of the x-values correspond to one or more
y-values.
Answers
In order to be a function every x value can only have 1 y value
help !!!
A car gets 40 miles per gallon of gas. It travels for 5 hours at 60 miles
per hour. How many gallons of gas did it use? *
O 6.75 gallons
O 7.5 gallons
O 3.33 gallons
O 10 gallons
Answers
Please help asap!!!!!!
vvvvvvvvvvvvvvvvvvvvvvvvv question below vvvvvvvvvvvvvvvvvvvvvvvvvvvv
Answers
Answer:
3 units
Step-by-step explanation:
Translating a segment does not change its length.
It is just moving the segment.
Fractions help please??
Answers
Answer:
3/4
Step-by-step explanation:
Estimate: 2.31 x 2.58 x 5.
Answers
Estimated Answer: 30
Work: Since 2.31 is below 2.50, I rounded is back down to 2. Since 2.58 is above 2.50, I rounded it up to 3, and Since 5 isn't a decimal, it stays at 5. So, the new "Estimated" multiplication problem is 2 x 3 x 5 = 30
Check: So, lets do the original equation. The answer is 29.799, which is very close, so (Check) I hope this helps, and Happy Holidays! :)
Answer:
IT'S 30
Step-by-step explanation:
= 30: 2X3X5 6X5 =30 This a little bit of step by step but.......
There is a word problem and idk how to do it here's the word problem [Kari is making copies at a local store of the program for her school play she makes 52 copies and the total is $6.24. How much did the store charge her per copy] this is in math
Answers
Answer:
Unitary cost per copy= $0.12
Step-by-step explanation:
Giving the following information:
Total number of copies= 52 copies
Total cost= $6.24
We need to calculate the unitary cost of each copy. To do that, we will use the following formula:
Unitary cost per copy= total cost / number of copies
Unitary cost per copy= 6.24/52
Unitary cost per copy= $0.12
1. The thickness of a quarter is 24.26 mm, while that of a nickel is 1.95 mm. Find the
difference in the thickness of these two coins.
a) 23.31 mm
b) 22.31 mm
c) 24.21 mm
d) 26.22 mm
Answers
Answer:
The answer is B.
Step-by-step explanation:
To find the difference thickness between these 2 coins, you have to minus :
24.26 - 1.95 = 22.31 mm
Answer:
Solution :-We will subtract the thickness of quarter to the nickel
[tex] \tt \: 24.26 - 1.95[/tex]
[tex] \tt \: 22.31[/tex]
Hence :-Option B is correct
lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000.
Which of the following is the most reasonable domain and range for the function?
Answers
Answer:A
Step-by-step explanation:A
The most reasonable domain and range for the function is x≥0, y≥0. Therefore, option B is the correct answer.
The given function is f(x) = 3000 + 100x.
We need to find which of the following is the most reasonable domain and range for the function.
What is the domain and range of the function?The domain and range are defined for a relationship and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (-∞, ∞) {x|x∈R}
Range: (-∞, ∞) {y|y∈R}
The most reasonable domain and range for the function is x≥0, y≥0. Therefore, option B is the correct answer.
To learn more about the range and domain visit:
https://brainly.com/question/28135761.
#SPJ6
The ratio of boys to girls in a choir is 3 to 7 there are 35 girls in the choir how many members are in the choir
Answers
Answer:
50
Step-by-step explanation:
35/7= 5
5*10=50
Answer:
50 people in the choir
Step-by-step explanation:
we can solve for x, assuming x is the value in which 1 is on the ratio. 7x=35, so the value of x would be 5. Next, we must multiply x by 3 since that is what the ratio states. If we do this, we will get 5*3, or 15. Therefore, there are 15 boys in the choir. Last, we have to add 15+35 to get the total number of people in the choir. There are 50 people in the choir.
Hope this helps! :)
(Also i know my explanation is rly bad just ignore it)
how many solutions does the quadratic have? 2x^2+3x-5
Answers
Answer:
2 solutions
Step-by-step explanation:
Given
2x² + 3x - 5 ( to solve the quadratic equate it to zero )
2x² + 3x - 5 = 0 ← in standard form
(2x + 5)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]
x - 1 = 0 ⇒ x = 1
The 2 solutions are x = - [tex]\frac{5}{2}[/tex] , x = 1
PLEASE HELP I WILL MARK BRAINLIEST ITS URGENNNTTTT!!!
Answers
Answer:
-6°C
Step-by-step explanation:
(-3) - 3 = -6
(x+y,y+3)=(6,2y) find the value of x and y
Answers
Step-by-step explanation:
Solution:
Given:-
(X+y,y+3)=(6,2y)
Equating corresponding elements,we get,
X+y=6------(1)
y+3=2y-----(2)
solving equation (2),
y-2y=-3
-y=-3
y=3.
Now, substituting y=3 in equation (1)
X+3=6
X=6-3
X=3
Therefore,. (X,Y) = (3,3)