Answer:
[tex] \displaystyle - 3 \sqrt{5n} + 4 \sqrt{15} n[/tex]
Step-by-step explanation:
we would like to simplify the following expression:
[tex] \displaystyle \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]
recall distribution property thus:
[tex] \displaystyle - \sqrt{3n} \sqrt{15} + 4n \sqrt{15} [/tex]
remember that,
[tex] \displaystyle \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex]so assign variables:
[tex]a \implies 3n[/tex][tex]b \implies 15[/tex]simplify Multiplication:
[tex] \displaystyle - \sqrt{45n} + 4 \sqrt{15} n[/tex]
rewrite 45 as 9×5:
[tex] \displaystyle - \sqrt{9 \times 5n} + 4 \sqrt{15} n[/tex]
utilize the formula:
[tex] \displaystyle - \sqrt{9 } \sqrt{5n} + 4 \sqrt{15} n[/tex]
simplify square:
[tex] \displaystyle \boxed{- 3 \sqrt{5n} + 4 \sqrt{15} n}[/tex]
and we're done!
[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]
[tex]\boxed{\sf \sqrt{p}\sqrt{q}=\sqrt{pq}}[/tex]
Solution[tex]\\ \rm\longmapsto \sqrt{15}(-\sqrt{3n}+4n)[/tex]
[tex]\\ \rm\longmapsto -\sqrt{15}\sqrt{3n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -\sqrt{3(15)n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -\sqrt{3(3)(5)n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{15n}[/tex]
Or we can break 15n
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3(5)n}[/tex]
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3}\sqrt{5n}[/tex]
For what value of w is 4w = 2w - 8 ?
Answer:
w= -4
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
w is -4
Step-by-step explanation:
[tex]4w = 2w - 8[/tex]
make w the subject:
[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]
divide all sides by 2:
[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]
f(x) = |6x| - 2 ; reflection in y-axis
write a function g whose graph represents the indicated transformation of the graph of f.
Hope this helps you. Thank you....
Using the reflection concept, it is found that the function g is given by:
[tex]g(x) = |6x| - 2[/tex]
-------------------
Reflecting a function f(x) over the y-axis is equivalent to finding a function g(x) defined by: [tex]g(x) = f(-x)[/tex]-------------------
In this question, the parent function is: [tex]f(x) = |6x| - 2[/tex]Reflecting over the x-axis:
[tex]g(x) = f(-x)[/tex]
[tex]g(x) = |6(-x)| - 2[/tex]
[tex]g(x) = |-6x| - 2[/tex]
Modulus is an even function, thus [tex]|-6x| = |6x|[/tex], and:
[tex]g(x) = |6x| - 2[/tex]
For more on reflections over the y-axis, you can check https://brainly.com/question/17686579
R is between Q and S. If QR = 33.4 and SQ = 80, find RS.
Hi! I'm happy to help!
To solve this problem, we need to find out what part isn't already listed.
We know that The entire line (SQ) is 80, and the part of the line that isn't RS (QR) is 33.4. The rest of the line must be the difference between 80, and 33.4. To find the difference we use subtraction:
80-33.4
44.6
So, RS is 44.6
I hope this was helpful, keep learning! :D
The calculated length of the segment RS is 46.6
How to determine the length of the segment RSFrom the question, we have the following parameters that can be used in our computation:
R is between Q and S.
QR = 33.4 and SQ = 80
using the above as a guide, we have the following:
QR + RS = QS
substitute the known values in the above equation, so, we have the following representation
33.4 + RS = 80
So, we have
RS = 80- 33.4
Evaluate
RS = 46.6
Hence. the length of the segment RS is 46.6
Read more about side lengths at
https://brainly.com/question/29135476
#SPJ3
simplify 9(8x - 9) + 13x
Answer:
85x-81
Step-by-step explanation:
random word to fill up word counter
5 ducks to 30 geese
Answer:
6
Step-by-step explanation:
Howard pays $327 for one dozen collector’s edition baseball cards. About how much does he pay for each baseball card?
Answer:
27.25$
Step-by-step explanation:
1 dozen is 12.
327$ ÷ 12 is 27. 25
Answer:
$27.25.
Step-by-step explanation:
327/12
= $27.25
What is s²t-10 if s=-8 and t=[tex]\frac{3}{4}[/tex]
Answer:
38
Step-by-step explanation:
Substitute the given values into the expression
(- 8)² × [tex]\frac{3}{4}[/tex] - 10
= 64 × [tex]\frac{3}{4}[/tex] - 10
= (16 × 3) - 10
= 48 - 10
= 38
Answer:
38
Step-by-step explanation:
When [tex]s^{2}t-10[/tex], s = -8 and t = 3/4
= [tex]-8^{2} \frac{3}{4} - 10[/tex]
= 64[tex]\frac{3}{4}[/tex] - 10
= (16 * 3) - 10
= 48 - 10
= 38
I need help With math
Answer:
Step-by-step explanation:
0.919191....It can be represented as a fraction. You can always make repeating decimals into fractions.
It does not terminate. 91 will go on forever. It's a repeating decimal
We don't know what the second one does. You are likely not supposed to say it repeats; it certainly does not terminate. It cannot be made into a fraction.
0.555 This terminates. It can be written as a fraction.
It can be written as a fraction. It repeats. It contains a repeating decimal which can always be written as a fraction.
5.
A bank statement shows transactions of -$10.40 and $8.50.
A. Do these transactions represent deposits or withdrawals?
Plz help
A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)
-10.40 is a withdrawal
8.50 is a deposit
Answer:
Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.
-10.40
See there is a negative sign. This means it is a withdrawal
8.50
See there is a positive sign. This means it is a deposit
which equation represents a liner function
Answer:
last choice y= 15 x + 10 is linear function
Ella invests 4000 dollars for 3 years a rate of 1.2% per year compound interest. Calculate the value of her investment at the end of the 3 years.
Answer:
Answer is $4145.6
Step-by-step explanation:
formular for compound interest:
[tex]{ \bf{A = P( \frac{r}{100} + 1) {}^{n} }}[/tex]
P is the principle, P = $4000
r is rate, r = 1.2%
n is period, n = 3 years
A is the accumulative amount.
substitute:
[tex]{ \sf{A = 4000( \frac{1.2}{100} + 1) {}^{3} }} \\ \\ { \sf{A = 4000 \times 1.0364}} \\ { \sf{A = 4145.6 \: dollars}}[/tex]
Subtract. − 11 − ( − 6) brainliest
Answer:
-5
Step-by-step explanation:
− 11 − ( − 6)
= -11 + 6
= -5
Answer:
-5
Step-by-step explanation:
-11-(-6)
-11--6
NB: --=+
-11+6
-5
Therefore, the answer is -5.
find the volume of water which can fill a cubic shaped vessel with a side of 16cm in,
i. cubic centimeters
ii. cubic meters
iii. millileters
iv. litres
v. litres and milliletres
Answer:
litres bro
Step-by-step explanation:
yes the litres answer is correct
a text message plan costs $1 per month plus $0.41 per text. find the monthly cost for x text messages
the monthly cost of x messages is _ dollars
Answer:
Cost = $1 + $0.41x
Step-by-step explanation
please help me! look at the image and answer.
Step-by-step explanation:
Find x-intercept (where line cuts the x axis) by substituting y=0.
Find y-intercept by substituting x=0.
Once you get those 2 intercepts, join them with a straight line.
Define the domain and range of the function and state whether it is one-to-one, onto, both or neither.
Answer:
Neither
Step-by-step explanation:
which expression is equivalent to 2•2 3 •8
Answer:
2^7
Step-by-step explanation:
2 * 2^3 *8
Rewriting 8
8 = 2^3
2 * 2^3 * 2^3
We know that a^b * a^c = a^(b+c)
2^1 * 2^3*2^3
2^(1+3+3)
2^7
−x2+6zy=
x=10, y=−2, and z=−5.
Answer:
- 40
Step-by-step explanation:
Substitute the given values into the expression
- x² + 6zy
= - 10² + 6( - 5 × - 2)
= - 100 + 6(10)
= - 100 + 60
= - 40
Plz help will give brainliest
Answer:
8
Step-by-step explanation:
Since the entire triangle was translated, each point gets shifted 9 left and 3 up which does not alter the triangle measurements, so all sides and angles of triangle' is the same as the original.
Which of the choices shows these values arranged from greatest to
least?
.68% 2.43
12/6 2 over -3
Answer:
vdffdersewsesdfdresweseseseeerswesdsfd
Step-by-step explanation:
reterersesdvbvfdderereerereeeewwqwewereddddscdcvvbvfddewww
3/4x + 4/7y = 5/4x -1...solve for y
Answer:
[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]
I hope I helped you^_^
The ratio of two numbers is 7:8 .If the first number is 84. Find the second number.
Answer: The second number is 96.
Step-by-step explanation:
Let the second number be x
7/8 = 84/x
or, 7x = 672
or, x = 672/7
so, x = 96
Answer: The second number = 96
Step-by-step explanation:
Given information
Ratio = 7 : 8
First number = 84
Second number = x
Set proportion according to the given information
84 / x = 7 / 8
Cross multiply
7x = 84 × 8
7x = 672
Divide 7 on both sides
7x / 7 = 672 / 7
[tex]\boxed{x=96}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
last one !! will mark brainliest
Step-by-step explanation:
1/2x + 10 = 1/4x + 54 Subtract 1/4x on both sides
1/4x + 10 = 54 Subtract 10 on both sides
1/4x = 44 Multiply both sides by 4
x = 176
9514 1404 393
Answer:
x = 176
Step-by-step explanation:
Clear fractions by multiplying by 4.
2x +40 = x +216
Subtract x+40.
x = 176
Find the value, n(A), if n(B)=33, n(A intersectionB)=12 and n(A union B) =59
Answer:
38
Step-by-step explanation:
nAuB=nA+nB-nA∩B. take nA as x
now substitute
59=x+33-12
59=x+21
x=59-21
x=38
How do you solve for LMN? I keep getting 15
Answer:
60°
Step-by-step explanation:
90° = 6x
15° = x
60° = 4x
Answer:
60
Step-by-step explanation:
We know that LMO = 90
2x+4x = 90
6x = 90
Divide by 6
6x/6 = 90/6
x = 15
We want to find LMN = 4x = 4*15 = 60
Solve the formula for the indicated variable.
B = qt+q, fort
Answer:
Step-by-step explanation:
Each number is two times three less than the previous number.
A sequence is the pattern or rule that guides the creation of a set. The most common sequence are the arithmetic and the geometric sequence.
A sequence that starts with 0 is: 0, -6, -12, -18.....A sequence that starts with 3 is: 3, -3, -9, -15.....The complete question illustrates that we build a sequence of number.
Let the n term of the sequence be [tex]T_n[/tex].
2 times 3 less than the previous number means:
[tex]T_n = T_{n-1} - 2 \times 3[/tex]
Where:
[tex]T_n \to[/tex] The current number
[tex]T_{n-1} \to[/tex] The previous number
Assume the first number starts with 0, the next numbers will be:
[tex]T_2 = 0 - 2 \times 3 = -6[/tex]
[tex]T_3 = -6 - 2 \times 3 = -12[/tex]
[tex]T_4 = -12 - 2 \times 3 = -18[/tex]
So, the sequence is:
0, -6, -12, -18.....
Assume the first number starts with 3, the next numbers will be:
[tex]T_2 = 3 - 2 \times 3 = -3[/tex]
[tex]T_3 = -3 - 2 \times 3 = -9[/tex]
[tex]T_4 = -9 - 2 \times 3 = -15[/tex]
So, the sequence is:
3, -3, -9, -15.....
Read more about sequence at:
https://brainly.com/question/3649143
help!! i really don’t know how to do this!!
The area A of the rectangle shown
is described by the inequality
12
compound inequality for x.
8x 3/4
Answer:
There are generally 3 methods to solve inequalities
Step-by-step explanation:
By algebraic method
Example 1: Solve: 2x - 7 < x - 5
2x - x < 7 - 5
x < 2
By the number-line method.
Example 2. Solve
f
(
x
)
=
x
2
+
2
x
−
3
<
0
First, solve f(x) = 0. There are 2 real roots x1 = 1, and x2 = - 3.
Replace x = 0 into f(x). We find f(0) = - 3 < 0. Therefor, the origin O is located inside the solution set.
Answer by interval: (- 3, 1)
--------------------- - 3 ++++++++ 0 ++++ 1 ----------------
3.By graphing method.
Example 2. Solve:
f
(
x
)
=
x
2
+
2
x
−
3
<
0
.
The graph of f(x) is an upward parabola (a > 0), that intersects the x-axis at x1 = 1 and x2 = - 3. Inside the interval (-3, 1), the parabola stays below the x-axis --> f(x) < 0.
Therefor, the solution set is the open interval (-3, 1)
graph{x^2 + 2x - 3 [-10, 10, -5, 5]}
What is the measure of angle A?
Select the best answer from the choices provided.
A.26°
B.32°
C.64°
D.78°
Angle B is 90 degrees so angle A and c when added also equal 90:
7x + 8 + 3x + 2 = 90
Simplify:
10x + 10 = 90
Subtract 10 from both sides
10x = 80
Divide both sides by 10
X = 8
Now you have x calculate angle A:
7x + 8 = 7(8) + 8 = 56 + 8 = 64
Answer: C. 64
Answer:
C
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , so
7x + 8 + 3x + 2 + 90 = 180 , that is
10x + 100 = 180 ( subtract 100 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
Then
∠ A = 7x + 8 = 7(8) + 8 = 56 + 8 = 64° → C