Answer:
X = 3
Step-by-step explanation:
STEP 1: Isolate a square root on the left hand side
Original equation
√4x-3+√2x+3 = 6
Isolate
√4x-3 = -√2x+3+6
STEP 2: Eliminate the radical on the left hand side
Raise both sides to the second power
(√4x-3)2 = (-√2x+3+6)2
After squaring
4x-3 = 2x+3+36-12√2x+3
STEP 3: Get remaining radical by itself
Current equation
4x-3 = 2x+3+36-12√2x+3
Isolate radical on the left hand side
12√2x+3 = -4x+3+2x+3+36
Tidy up
12√2x+3 = -2x+42
STEP 4: Eliminate the radical on the left hand side
Raise both sides to the second power
(12√2x+3)2 = (-2x+42)2
After squaring
288x+432 = 4x2-168x+1764
STEP 5: Solve the quadratic equation
Rearranged equation
4x2 - 456x + 1332 = 0
This equation has two rational roots:
{x1, x2}={111, 3}
STEP 6: Check that the first solution is correct
Original equation, root isolated, after tidy up
√4x-3 = -√2x+3+6
Plug in 111 for x
√4•(111)-3 = -√2•(111)+3+6
Simplify
√441 = -9
Solution does not check
21 ≠ -9
STEP 7: Check that the second solution is correct
Original equation, root isolated, after tidy up
√4x-3 = -√2x+3+6
Plug in 3 for x
√4•(3)-3 = -√2•(3)+3+6
Simplify
√9 = 3
Solution checks !!
Solution is:
x = 3
what is the surface area of the pyramid shown
Answer:
62
Step-by-step explanation:
Helpppp!! which one is true
Answer:
Option C.J'K'L'M' will still be a rectangle, angles are preserved opposites sides remain equal in lengths and parallel.
Step-by-step explanation:
hope it helps...
have a great day!!
PLEASE HELP!!!!!!!! I WILL MARK BEAINLIEST
Answer:
7/8
Step-by-step explanation:
1 and 1/8
2 and 2/8
Explain how you can tell whether the sum of two numbers is positive or negative before you add. Give examples to illustrate your point.
A trader bought 40 shirts for Birr 220 and sold them at Birr 72 each
Find the profit percentage.
Given:
Cost price of 40 shirts = Birr 220
Selling price of each shirt = Birr 72
To find:
The profit percentage.
Solution:
We have,
Cost price (CP) of 40 shirts = Birr 220
Selling price (SP) of each shirt = Birr 72
So, the selling price (SP) of 40 shirts is:
[tex]72\times 40=2880[/tex]
We need to find the profit percentage.
[tex]\text{Profit percentage}=\dfrac{SP-CP}{CP}\times 100[/tex]
[tex]\text{Profit percentage}=\dfrac{2880-220}{220}\times 100[/tex]
[tex]\text{Profit percentage}=\dfrac{2660}{220}\times 100[/tex]
[tex]\text{Profit percentage}=1209.09\%[/tex]
Therefore, the profit percentage is 1209.09%.
Carly had x stuffed animals,
She gave 7 to her sister and then her aunt gave
her 3 for her birthday.
Which of the following expressions could represent
Carly and her stuffed animals?
A. X + 7 + 3
B. X- 7-3
C. X + 7-3
D. X - 7 + 3
Answer: D
Step-by-step explanation:
Carly had x amount of stuffed animals
she gave -7 away to her sister
she was given +3 by her aunt
Graph the Quadratic equation y=x2+2x−3
Answer:
Step-by-step explanation:
Answer:
Here is the answer.
Step-by-step explanation:
what is the length of the triangle below?
Answer:
b-78 give me brainiest
HELP!! What is the range of this function?
Answer:
Your range is A since that is the Y column
Step-by-step explanation:
Find the angle in the interval 700° < θ ≤ 1060° such that θ is coterminal with 304°.
the quotient of t and 13
Answer:
shessshhhhh
gang gang
Step-by-step explanation:
digga g
help me please it's for today
Answer:
x = 20
Step-by-step explanation:
These 2 angles are supplementary so they add up to 180:
3x - 10 + 5x + 30 = 180
8x + 20 = 180
8x = 160
x = 20
y = x/7 -18 What is the value of y when x = 133?
*Please show work. (Is not mandatory but try to*
Answer:
1
Step-by-step explanation:
(133)/7 - 18
133 ÷ 7 = 19
19 - 18 = 1
Answer: y = 1
Step-by-step explanation:
Well if x is 133 then the problem is y = (133/7) -18
and 133/7 is 19
so the problem is y = 19 - 18
and 19 - 18 is 1, so
y = 1
what kind of number is 4
Answer: Its a whole number. It is a composite number.
Step-by-step explanation:
what is the median of the following numbers 9,10,6,5,6
Answer:
6
Step-by-step explanation:
The median is the middle of numbers in order.
5, 6, 6, 9, 10
So the number in the middle is 6.
A textbook company will ship a box of textbooks to college students. The weight of the box in pounds can be determined by the function w(x) = 7.5x + 2, where x is the number of textbooks in the box. The company requires a student to order at least 2 books but not more than 6 books. What is the range of the function for this situation? *
A. 2 ≤ x ≤ 6
B. 17 ≤ y ≤ 47
C. {17, 24.5, 32, 39.5, 47}
D. {2, 3, 4, 5, 6}
Answer:
I think its D
Step-by-step explanation:
It's obviously not A, because A has an x instead of y. B makes no sense because the range is 2-6. C makes no sense. D is the only logical answer.
The range of the function for this situation is 17 ≤ w ≤ 47
An equation is an expression used to show the relationship between two or more variables.
Let x represent the number of textbooks in the box
The company requires a student to order at least 2 books, hence:
x ≥ 2.
w(2) = 7.5(2) + 2 = 17
Also they do not require more than 6 books, hence:
x ≤ 6
w(6) = 7.5(6) + 2 = 47
The range of a function is the set of possible dependent variables.
Hence, the range of the function for this situation is 17 ≤ w ≤ 47
Find out more on range at: https://brainly.com/question/14145389
Use the term-to-term rule 'divide by 2' and complete the sequence:
8, ____, ____, ____
The average age of the ten people on my basketball team was 13.5, but then a fifteen year old joined our team and an 11 year old quit the team. What is the average age of my team now?
Answer:
The new average is 134/10, or 13.4 years.
Step-by-step explanation:
a + b + c + d + e + f + g + h + i + j
------------------------------------------------ = 13.5 (the original average)
10
15 years is 1.5 year older than the 13.5 average and 11 years is 2.5 younger than that. The net change is 1.5 - 2.5, or -1. The number of players remains the same: 10. We subtract 1 from the sum of the player ages and divide the result by 10:
a + b + c + d + e + f + g + h + i + j - 1
--------------------------------------------------- = 13.4 (the new average)
10
Note that the sum of the original 10 ages is (10)(13.5), or 135, which becomes 134 after the 15-year-old joined the team and the 11 year old quit. The new
average is 134/10, or 13.4 years.
Which of the following are solutions to the inequality -7x+14 greater than -3x-6? Select all that apply
a. -10
b. 10
c. -5
d. 5
e. -3
f. 3
g. 0
Answer:
a-10
Step-by-step explanation:
✨20 points✨
Madeline invests $25,000 in an account that offers a compound interest rate
of 9.5% per year. Which of the following is the correct equation for how much
Madeline will have after 8 years?
The correct equation for how much Madeline will have after [tex]8[/tex] years will be [tex]25000(1+0.095)^8[/tex] which is in option [tex](b)[/tex].
What is compound interest ?Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest
Amount [tex]=P(1+\frac{R}{100})^t[/tex]
We have,
Principal [tex]=\$25,000[/tex]
Rate[tex]=9.5\%[/tex]
Time [tex]=8[/tex] years
Now,
Using the above mentioned formula,
Amount [tex]=P(1+\frac{R}{100})^t[/tex]
[tex]=25000(1+\frac{9.5}{100})^8[/tex]
Amount [tex]=25000(1+0.095)^8[/tex]
So, the equation for final amount is [tex]25000(1+0.095)^8[/tex].
Hence, we can say that the correct equation for how much Madeline will have after [tex]8[/tex] years will be [tex]25000(1+0.095)^8[/tex] which is in option [tex](b)[/tex] .
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Find the volume of the figure
If the length of the 45° region of this circle is 10 inches, what is the radius of the circle? Use and round to the nearest tenth.
Answer:
12.71in
step explanation:
The Length of an arc given is expressed as;
A = theta/360 * 2πr
10 = 45/360 * 2 * 3.14r
10 = 1/8 * 6.28r
Cross multiply
10 * 8 = 6.28r
80 = 6.28r
r = 80/6.28
r = 12.74in
Hence the radius is 12.71in
Persia makes a flower arrangement using the 8 longest flowers. Which is the combined height of the flowers Persia uses?
A. 59 3/4 inches
B. 61 1/2 inches
C. 62 1/4 inches
D. 63 1/4 inches
The combined height of the flowers Persia uses is 61 1/2.
We have given that,
Persia makes a flower arrangement using the 8 longest flowers.
We have to determine,
The combined height of the flowers Persia uses
What is the height?The part that rises or extends upward the greatest distance the highest part summit reached the height of the mountain.
Therefore, the combined height of the flowers Persia uses is 61 1/2.
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What is the slope of this line?
y = 7x - 5
Slope = [?]
Enter
Answer:
the slope of this line is 7.
Step-by-step explanation:
I hope this helps
Hii!
___________________________________________________________
Answer:
Slope is 7! ^^
Step-by-step explanation:
Note that the equation is given to us in slope intercept.
The slope intercept formula is y=mx+c.
m=slope
c=y intercept.
In the equation y=mx+c m denotes the slope.
In the equation y=7x-5, 7 is the slope.
--
Hope that this helped! Best wishes.
--
plz answer brainliest and 20 points
Answer:
hi
Step-by-step explanation:
A scuba diver was rising back to the surface after taking photos under water. At 2:50 P.M.,
he was at an elevation of 15.3 feet. At 2:55 P.M., the diver’s depth was 3.7 feet. By how
many feet did the diver’s position change from 2:50 P.M. to 2:55 P.M.
Answer:
the answer is 11.6 feet
Step-by-step explanation:
you simply subtract the feet of the depth he was at at 2:55pm from his depth at 2:50pm
Please help me!! No files allowed. I need the answer and an explanation!
Answer:
81/293
Step-by-step explanation:
and that is the simplest form because 293 is a prime number
which one is the right one
Answer:
A
Step-by-step explanation:
Select the three expressions that are equivalent to 2 (4 - 3x) + (5x-2)
Answer:
The answer correct the questions is 11x-10
Answer:
Step-by-step explanation:
2 (4 - 3x) + (5x-2) can be solved in several basic steps. First, distribute multiplication in 2(4 - 3x), obtaining 8 - 6x and (overall) 8 - 6x + 5x - 2.
Combine like terms: -x = -10, or x = 10
What is a correct expansion of (4x+1)(2x^2-2)
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)
Answer:
A. (4x+1)(2x squared -2) you would simply distribute the numbers.
4x(2x squared) + 4x(-2) + 1(2x squared) + 1(-2)
Step-by-step explanation: