[tex]Simplify: \frac{ {x}^{a + b} . {x}^{b + c} {x}^{c + a} }{ {x}^{a}. {x}^{b} . {x}^{c} } \\ [/tex]
Need help please.
Step-by-step explanation:
[tex] \bf \underline{Solution-} \\ [/tex]
We have to simplify the given expression.
[tex] \rm = \dfrac{ {x}^{a + b} \cdot {x}^{b + c} \cdot {x}^{c + a} }{ {x}^{a} \cdot {x}^{b} \cdot {x}^{c} } [/tex]
We know that:
[tex] \rm \longmapsto {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]
[tex] \rm \longmapsto \dfrac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} [/tex]
Therefore, we get:
[tex] \rm = \dfrac{ {x}^{(a + b) + (b + c) + (c + a)}}{ {x}^{a + b + c} } [/tex]
[tex] \rm = \dfrac{ {x}^{2(a + b+ c)}}{ {x}^{a + b + c} } [/tex]
[tex] \rm = {x}^{2(a + b+ c) - (a + b + c)}[/tex]
[tex] \rm = {x}^{a + b + c}[/tex]
What is the value of x
Answer:
x = 13
Step-by-step explanation:
The sum of the exterior angles of a polygon always will equal 360°.
(3x + 6) + 41 + (6x - 5) + (4x + 7) + 62 + (7x - 11) = 360°
(3x + 6x + 4x + 7x) + (6 + 41 - 5 + 7 + 62 - 11) = 360°
20x + 100 =360°
20x = 260
x = 260/20
x = 13
In Circle O, AB = 12 centimeters and mAOB = 60°. Find the exact length of arc AB
Answer:
24cm (piste 20characteristic pa bago masabi sagot)
How do you know if the exponent is negative in scientific notation
Answer:
if the original number is a decimal the exponent is negative for example .005 would be 5x10^-3
Step-by-step explanation:
the exponent is only positive for whole numbers like 50 500 5000 hope it helps
Answer:
if the decimal point moves to the right
What is the product (−4)(7)(−2)
Answer:
98
Step-by-step explanation:
1. (-4)(-2) equals 14 beacuse when you muiltpy two negatives yiui get a postive.
2. 14(7) equals 98
pls help don't send links
Answer:
there is not any correct answer among the options.
the answer is
[tex] \frac{ - 21}{45} [/tex]
Simplify the expression!
-7/15
I am a 4 digit number.My hundred's digit is 4 less than my thousands digit.My unit's digit is 7 less than my ten's digit.My ten's digit is 3 more than my hundred's digit.My thousand's digit is the largest single digit number.what number am i?
Answer:
9581
Step-by-step explanation:
Write the following equation in slope intercept form: y-6=4(x+3)
Answer:
y =4x+ 18
Step-by-step explanation:
Slope intercept form: y = mx + b
y -6 = 4(x + 3)
y - 6 = 4x + 12
Add 6 to both side
y = 4x + 12 + 6
y = 4x + 18
______________
[tex] \: [/tex]
y - 6 = 4(x + 3)
y - 6 = 4x + 12
y = 4x + 12 + 6
y = 4x + 18✔
Help me do this, will award brainly to correct answer. Will give big points if right only have 1 shot.
Jay decides to walk home from school today. He lives 3 miles from school and can walk home in 45 minutes. At what rate is Jay
traveling?
A)
1 mile/10 minutes
B)
1 mile/15 minutes
o
1 mile 20 minutes
D)
1 mile/30 minutes
Answer:
b 1mile/10 min
Step-by-step explanation:
The graph represents the data cost for monthly Internet service for a cell phone.
On a coordinate plane, a graph titled Cell Phone Internet Service shows Gigabytes Used on the x-axis and Monthly Cost in dollars on the y-axis. A piecewise function has 3 lines. The 1st line has a closed circle at (0, 15), continues horizontally at y = 15, then has a closed circle at (2, 15). The 2nd line has an open circle at (2, 20) and then continues up to a closed circle at (6, 40). The 3rd line has an open circle at (6, 50) and then continues horizontally at y = 50.
Which function, C(x), represents the monthly cost in dollars in terms of x, the number of gigabytes used in a month?
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 20, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50, 2nd column 6 less-than-or-equal-to x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 20 x + 5, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50 x, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50 x, 2nd column 6 less-than-or-equal-to x EndLayout
Answer:
C(x) = 15 0 ≤ x ≤ 2
C(x) = 5x + 10 2 < x ≤ 6
C(x) = 50 x > 6
Step-by-step explanation:
Its A
Answer:
c
Step-by-step explanation:
Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?
m = 72 – 15d
m = 90 – 6d
m = 101 – 21d
m = 108 – 3d
Answer:
m = -90 - 6d
Step-by-step explanation:
18 ÷ 3 = 6 { She needs to memorize six measures a day. }
m = 90 - 6d { She has memorized bd measures }
Which equation shows a proportional relationship between x and y?
A. y = 9
B. y = 3x + 1
C. y = −3x − 2
D. y = 4x
NO LINKS
B. y=3x+1
Step-by-step explanation:
#Hopeee Itttt Helppsssssss!
A proportion relationship is a direct relationship between two variables thus y = 4x will be the proportional relationship between x and y thus option (D) will be correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
A proportional relationship is given as,
A ∝ B
Removing proportionality
A = kB
Here, k is the constant of proportionality.
As per the given in last option,
y = 4x
x = (1/4)y
Removing constant.
x ∝ y
Hence "A proportion relationship is a direct relationship between two variables thus y = 4x will be the proportional relationship between x and y".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ5
A real root of X3 – 3x2 + x + 7 = 0 lies between two consecutive integers.
Find these two integers.
Answer:
B. between -2 and -1
Step-by-step explanation:
Brainlyist please
classify the equation as having one solution no solution or infinite solution
4(9x+6)=36x-7 And the solution is x=
Answer:
no solution
Step-by-step explanation:
4(9x + 4) = 36x - 7 ← distribute parenthesis on left by 4
36x + 16 = 36x - 7 ( subtract 16 from both sides )
36x = 36x - 23 ( subtract 36x from both sides )
0 = - 23 ← False statement
This indicates the equation has no solution
is 3 a rational answer
Answer:
YES!!
Step-by-step explanation:
All rational numbers can be expressed as a fraction whose denominator is non-zero. Here, the given number, 3 can be expressed in fraction form as 3⁄1. Hence, it is a rational number.
PLEASE PLEASE PLEASEEEE HELP 50 POINTS AND BRAINLIEST!
please help me ill give brainliest plz give me a simple answer
Answer:
this is just trial and error. Answer is 3
There are 26 empty parking spots and
24 full parking spots in the parking
garage. What is the ratio of the number
of empty parking spots to the number
of full parking spots?
I suck at ratios help me
Answer:
26:24 or 24:26 that is the ratio
Find the slope of the line that passes through (3, 6) and (7, 7).
Answer:
0.25
Step-by-step explanation:
do y2-y1 divided by x2-x1
Answer:
1/4
Step-by-step explanation:
[tex]m=\frac{7-6}{7-3} =\frac{1}{4}[/tex]
I hope this help you
Determine whether the ordered pair (0, 2) is a solution to the equation –2x + y = –1.
Answer:
Below.
Step-by-step explanation:
The ordered pair (0, 2) tells us that x = 0 when y = 2.
We just plug these values in the given equation and see if the left side = the right.
Left side = -2(0) + 2 = 2.
Right side = -1.
- so they are not a solution.
In comparing two distributions, which attribute would you not compare?
A. Joint frequency
B. Shape
C. Spread
D. Center
Answer:
If joint frequency isn't an option it is Marginal frequency
What is the answer to this question?
I am confused.
Answer:
y=88 x=42
Step-by-step explanation:
Since the total measurments of one triangle have to equal 180 and one angle is already 50, and the angle on the oppisite side of the y angle is 90 the only logical number for y would be 88. Hope this helped :)
I need help with find this problem out
Answer:
Step-by-step explanation:
Hi there!
∠SRQ = 162°
∠STR = 130°
∠RST = ?
Now;
∠SRQ = ∠RST+∠STR [external angle is equal to the sum of opposite interior angles of triangle]
∠RST = ∠SRQ-∠STR
∠RST = 162°-130°
Therefore, the measure of ∠RST is 32°.
Hope it helps!
A beach volleyball court is 9 meters wide and 18 meters long. The rope used
for the boundary line costs $1.58 per meter. How much would it cost to buy a
new boundary line for the court?
Answer:
$85.32Step-by-step explanation:
The boundary is the perimeter of the rectangle of 9 m x 18 m:
P = 2(9 + 18) = 54 mCost of the boundary line:
54*$1.58 = $85.32A copy machine makes 32 copies per minute how long does it take to make 152 copies?
Answer:
It should take about 4.75 min.
Step-by-step explanation:
Hope this helps and could you mark me as the brainliest
you and your friend went shopping. you bought 3 shirts and 4 sweaters for $69. your friend bought 6 shirts and 2 sweaters for $66 how much does one shirt and one sweater coat each
I need this answered quickly
Answer:
Shirt = $7
Sweatshirt = $12
Step-by-step explanation:
Let T represent shirts and S to represent sweatshirts
you bought 3T + 4S = 69
your friend bought 6T + 2S = 66 multiply second equation by -2
-2 x 6T + 2S = 66
-12T - 4S = -132 now find the sum of this and first equation
3T + 4S -12T - 4S = 69 - 132 add like terms
-9T = -63 divide both sides by -9
T = 7 this is the cost of one shirt to find the cost of a sweatshirt we replace the T in any equation with 7
3T + 4S = 69
3*7 + 4S = 69
21 + 4S = 69 subtract 21 from both sides
4S = 48 divide both sides by 4
S = 12
what is 20/25 as a percent
Answer:
80%
Step-by-step explanation:
If the probability for an event is 1/6, what would that be as a percent rounded to the nearest tenth?
Answer:
16.7%
Step-by-step explanation:
1/6 as a percent is 16.67 and to round to the nearest tenth would make that number 16.7
Carmen had one third cup of sugar for 3 pitchers of fruit juice . She poured the same amount of sugar into each pitcher .how much sugar did Carmen pour into each of fruit juice
Answer:
9
Step-by-step explanation: