Answers
Step-by-step explanation:
(a) 3pq / 4r² × 2rs / 6q²......first start by expanding the expression
It will be ;
3 × p × q / 4 × r × r X 2 × r × s / 6 × q × q
so now ,cancel out like terms. The q on top can cancel out with the q down same thing happens to r
so you'll get something like ;
3 × q / 4 × r X 2 × s / 6 × q ......so now divide , like 3 into 6 and 2 into 4 ,then you'll get something like;
qs / 4q
that's the answer
(b)15 ab² / 8 c²d ÷ 3ab / 4cd.......start by changing the sign from ÷ to × and then 3ab and 4cd will switch places
15ab² / 8c² d × 4cd / 3ab.....expand the expression
15 ×a×b×b / 8×c×c×d X 4×c×d / 3×a×b
then cancel like terms and you'll get;
15b / 8c X 4/3.....then divide 3 into 15 and 4 into 8
5b / 2c
hope this helps
Related Questions
2/5+3/7 is the same as?
Answers
Answer:
29/35
Step-by-step explanation:
Least common denominator of 5 and 7 is 35
[tex]\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\ \ = \frac{14+15}{35}\\\\ = \frac{29}{35}[/tex]
I really need your help. I am having a lot of difficulty in solving this question, so please help me..
Answers
Answer:
Step-by-step explanation:
[tex]log\ \frac{1}{x} = - log \ x \\\\log_a \ a = 1\\\\log \ a^x = x \ log \ a[/tex]
(iii)
[tex]m = log_2 \ \frac{1}{32}\\\\m = log_2 \ \ 32^{-1}\\\\m = - 1 \ log_2 32\\\\m = - 1 \ log_2 \ 2^5\\\\m = -1 \times 5 \ log_2 \ 2\\\\m = -5 \ log_2 \ 2\\\\m = -5 \times 1 = -5[/tex]
(iv)
[tex]log_a \ m = 0\\\\m = a^0 = 1[/tex] [tex][ \ log _a \ 1 = 0 \ ][/tex]
(vii)
[tex]log_{32} \ 8 = m\\\\8 = 32^m\\\\8^{ \frac{1}{m}} = 32 \\\\(2^{3 })^ { \frac{1}{m}} = 2^{5}\\\\2^{\frac{3}{m}} = 2^5 \\\\\frac{3}{m} = 5\\\\3 = 5 \times m \\\\m = \frac{3}{5}[/tex]
(viii)
[tex]log_5 \ ( 2m + 5 ) = 3\\\\(2m +5 ) = 5^3\\\\2m + 5 = 125\\\\2m = 125 - 5 \\\\2m = 120 \\\\m = 60[/tex]
(x)
[tex]log_{m^3} \ 64 = \frac{2}{3}\\\\64 = (m^3)^{ \frac{2}{3}}\\\\64 = m^{ 3 \times \frac{2}{3}}\\\\64 = m ^2\\\\\sqrt{64} = m \\\\8 = m[/tex]
Which expression is equivalent to ?
x ^-5/3
Answers
Answer:
[tex] {x}^{ - \frac{5}{3} } \\ \frac{1}{ {x}^{ \frac{5}{3} } } [/tex]
Find the value of k, if (x - 2) is a factor of the polynomial p(x) = 2x2 + 3x - k
Answers
Answer:
The value of k is 14.
Step-by-step explanation:
(x - 2) is a factor of the polynomial
[tex]x - 2 = 0 \rightarrow x = 2[/tex]
This means that [tex]p(2) = 0[/tex]
p(x) = 2x² + 3x - k
[tex]p(2) = 2(2)^2 + 3(2) - k[/tex]
[tex]0 = 8 + 6 - k[/tex]
[tex]14 - k = 0[/tex]
[tex]k = 14[/tex]
The value of k is 14.
In how many ways can a committee of 3 men and 2 women be formed from a group of 9 men and 10 women?
Answers
Answer:
first you have to find the number of ways 3 men can be chosen, then the number of ways 2 women can be chosen, and then you need to multiply these numbers together to get the number of ways because multiplication will show the total arrangements possibilities. use combination since order does not matter.
number ways for 2 out of 10 women total: 10 choose 2= 45
number of ways for 3 out of 9 men total: 9 choose 3= 84
84x45= 3780
3780 total ways
number of ways
simplify (1+3i) + (2-5i)
Answers
Answer:
3 - 2i
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsAlgebra II
Imaginary number i = √-1Step-by-step explanation:
Step 1: Define
Identify
(1 + 3i) + (2 - 5i)
Step 2: Simplify
[Addition] Combine like terms: 3 + 3i - 5i[Subtraction] Combine like terms (i): 3 - 2iPlease show work thank you
Answers
Answer
No solution
Step-by-step explanation:
4y + 2x = 18
3x + 6y = 26
You need either the x's or the y's to have the same coefficients.
let's line things up first.
4y + 2x = 18 (multiply by 3)
6y + 3x = 26 (multiply by 2)
to keep numbers relatively small we will multiply the top equation by 3 and the bottom equation by 2. Multiply all terms. This will make the coefficients equal.
12y + 6x = 54
12y + 6x = 52
So, if you subtract them from each other you get :
0 = 2
When this happens the solution set is : no solution
Answer:
Impossible
Step-by-step explanation:
Ok, so we first rearrange for convenience:
2x+4y=18
3x+6y=26
We multiply the two equations to eliminate x:
2x+4y=18 * -3
3x+6y=26 * 2
So:
-6x-12y=-54
6x+12y=52
And now we add the two equations:
0+0= -2
Try multiplying the two equations by any other number which will lead to them cancelling, (eg. -9, 6), still the equation will not work.
How is the graph of y = 8x2 − 1 different from the graph of y = 8x2?
It is shifted 1 unit down.
It is shifted 1 unit to the right.
It is shifted 1 unit to the left.
It is shifted 1 unit up.
Answers
Answer:
since it's the lhs we are concerned about, i. e., Y axis, so it must be either up or down. now look at the question, it says 8x2 - (1), it means one lower value of y i. e., 1 unit down
Answer:It is shifted 1 unit down.
Step-by-step explanation:
The transformations to the parent function of a quadratic equation are given below. write an equation of the new function in vertex form
Answers
Answer:
11.f(x)=^2-3Step-by-step explanation:
12.And slide everything five units down. So a over here that's negative three negative one. So if we slide at five you just down we go one two three four five and get here.Hope it helps
Which equation is equivalent to 4 x = t + 2
s = t-2
s=4/t+2
s=t+2/4
s=t+6
Answers
whenever you have the equation 4 x = t+2 you are trying to isolate the X by doing that you have ti take the 4 and divide it to the other side so the x can stay on that side
PLEASE HELP WKLL MARK IF YOU HELP ME !!!
Answers
Answer :
Let in Triangle abc,
a=90,
b = (we have to find)
c = (we have to find)
c + 144=180 (linear pair)
c = 180 - 144
c = 36
a + b + c = 180 (Angle sum property)
90 + b + 36 = 180
126 + b = 180
b = 180-126
b = 54
Write the following as an algebraic expression. Then simplify.
The total amount of money (in cents) in x nickles, (x+3) quarters, and 3x dimes. (Hint: The value of a nickel is 5 cents, the value of a quarter is 25 cents, and the value of a dime is 10 cents.)
The total amount of money is ___ cents.
(Simplify your answer. Do not factor.)
Answers
Answer:
[tex]60x+75[/tex]
Step-by-step explanation:
We want to find the total amount of money (in cents) of the expression:
[tex]\text{$x$ nickels, $(x+3)$ quarters, and $3x$ dimes}[/tex]
Since each nickel is worth five cents, each quarter 25 cents, and each dime ten cents, we can write that:
[tex]\displaystyle \text{Total}=5(x)+25(x+3)+10(3x)[/tex]
Simplify. Distribute:
[tex]T=5x+25x+75+30x[/tex]
Combine like terms. Therefore, the total amount of money (in cents) is represented by:
[tex]T=60x+75[/tex]
Tom had some blocks that were all the same size and shape. He used two of them to make this regular hexagon He placed six more blocks around this hexagon to make a bigger regular hexagon
How many more blocks does he need to place around this shape to make the next bigger regular hexagon?
(A) 6
(B) 10
(C) 12
(D) 18
Answers
Answer:
Well it all started by drawing some equilateral triangles so that they made a regular hexagon: hexagon from unit length triangles. Then we ...
Line A passes through the points (10,6) qnd (2,15). Line B passes through the points (5,9) and (14,-1).
Answers
Answer:
Line A equation = y=-9/8x+69/4
Line B equation = y=-10/9x+131/9
Step-by-step explanation:
The elevation of Sports Authority Field in Denver, Colorado is 5280ft. If this is 275ft higher than seven times the elevation of Lucas Oil Field in Indinapolis, what is the elevation of Lucas Oil Field?
Answers
Answer:
The elevation of Lucas Oil Field is of 715 feet.
Step-by-step explanation:
Elevation of Sports Authority Field:
Of 5280 ft.
Compared to Lucas Oil Field:
275ft than seven times the Lucas Oil Field elevation of x.
Equation:
[tex]275 + 7x = 5280[/tex]
What is the elevation of Lucas Oil Field?
Solving the above equation:
[tex]7x = 5280 - 275[/tex]
[tex]7x = 5005[/tex]
[tex]x = \frac{5005}{7}[/tex]
[tex]x = 715[/tex]
The elevation of Lucas Oil Field is of 715 feet.
HW HELP ASAP PLZZZZZ
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (x - 5)(x - 4) }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
[tex] {x}^{2} - 9x + 20[/tex]
[tex] = {x}^{2} - 4x - 5x + 20[/tex]
Taking "[tex]x[/tex]" as common from first two terms and "[tex]5[/tex]" from last two terms, we have
[tex] = x(x - 4) - 5(x - 4)[/tex]
Taking the factor [tex](x-4)[/tex] as common,
[tex] = (x - 5)(x - 4)[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
HELPPPPP PLEASEEEE ASAPPPP WILL GIVE POINTS/BRAINLIEST
A function is shown in the table.
x g(x)
−3 17
−1 −3
0 −4
2 13
Which of the following is a true statement for this function? (5 points)
The function is increasing from x = −3 to x = −1.
The function is increasing from x = −1 to x = 0.
The function is decreasing from x = 0 to x = 2.
The function is decreasing from x = −3 to x = −1.
Answers
Answer:
2nd
Step-by-step explanation:
i know I don't have an exlanation'
course
Look at the following number line:
- 10
-5
0
5
10
What are two ways to write the inequality graphed?
x>-1 and -1
XS-1 and -12X
x < -1 and -1 > X
x2-1 and -1 5x
Answers
first and last one i think
Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equation of the line. a. m = 2; y intercept = (0, 4); y = 2 x + 4 b. m = negative 2; y intercept = (0, 4); y = negative 2 x + 4 c. m = negative 2; y intercept = (4, 0); y = negative 2 x + 4 d. m = 2; y intercept = (0, 4); y = 4 x + 2
Answers
9514 1404 393
Answer:
a. m = 2; y intercept = (0, 4); y = 2 x + 4
Step-by-step explanation:
The slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (18 -4)/(7 -0) = 14/7
m = 2
The y-intercept is the first given point: (0, 4).
The equation for the line in slope-intercept form is
y = mx + b
Here, we have m=2 and b=4, so the equation is ...
y = 2x +4
> Next question Get a similar question You this question below Find the distance between the points (-3,-3) and (-5,-1) Distance vo Х Submit Question
Answers
Answer:
The answer is the square root of 8, or 2root2.
Step-by-step explanation:
Use the distance formula.
d = sqrt((-3-(-5))^2 + (-3-(-1)))
d = sqrt(2^2 + 2^2)
d = sqrt(4 + 4)
d = sqrt8
d = sqrt4 * sqrt2
d = 2 * sqrt2
Wbich of the following statements describes the set of integers gieater than --3 but less than 6?
Answers
-4,-5,0,1,2,2,4,5
Hope it works perfectly...
‼️‼️need help asap ‼️‼️
Answers
Answer:
D
Step-by-step explanation:
(f-g)(x) = f(x) - g(x)
=3x^3+8x^2-7x-4-(2x-6)
=3x^3+8x^2-9x+2
Find h.
9 ft
h =
= [?] ft
4 ft

Hemp me solve
Answers
Answer:
9ft =2.743m
kjhgfdfvhhgddfcvh
 please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answers
Answer:
[tex]4 \pi {?}^{2} [/tex]
hope it is helpful to you
The volume of a rectangular prism is given by 24x3+78x2+49x+10. The height of the prism is given by 2x+5. Find an expression for the area of the base of the prism
Answers
Answer:
?
Step-by-step explanation:
i cant not explian that
The side of an equilateral triangle is 12. Its area is
Select one:
a. 144
b. 72
c. 36 √3
d. 48
Answers
Answer:
area is 1/2bh
in an euqilateral triangle, all sides are equal so base and height are 12
1/2 x 12 x 12
1/2 x 144= 72 (B)
Answer: Choice C. [tex]36\sqrt{3}[/tex]
This is the same as writing 36*sqrt(3)
===================================================
Work Shown:
x = 12 = side length of equilateral triangle
A = area of equilateral triangle
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*12^2
A = 0.25*sqrt(3)*144
A = 0.25*144*sqrt(3)
A = 36*sqrt(3) .... answer is choice C
Side note: the area approximates to 62.354 square units.
Use I = PRT to solve.
Answers
Answer: 11%
Step-by-step explanation:
Since the formula for interest is:
I = PRT
where.
P = 1200
I = 99
T = 0.75
I = PRT
R = I/PT
R = 99/(1200 × 0.75)
R = 99/900
R = 11%
Therefore, the rate is 11%
5n+15 as an undistributed expression
Answers
Answer:
5(n + 3)
Step-by-step explanation:
Factor out 5
5(n + 3)
Answer:
5(n + 3)
should I also give u an explanation
help what's the answer??
Answers
= 69/12 - 8/12 - 30/12
= 31/12
The temperature at 2 a.m. was -10°C.
At an earlier time the temperature was
0°C. It changed by -2°C each hour
until 2 a.m. At what earlier time was
the temperature 0°C?
Answers
Answer:
-1
Step-by-step explanation: