Answer: (x^b)^a
Step-by-step explanation:
the inverse of a monomial with an exponent raised to another power will give the same product if you flip the exponents.
Here we have a general rule for exponents.
We will find that:
[tex](x^a)^b = x^{a*b}[/tex]
To get this, we can first check it with some values for the exponents.
a = 2
b = 3
[tex](x^2)^3 = (x^2)*(x^2)*(x^2) = (x*x)*(x*x)*(x*x) = x^6 = x^{2*3}[/tex]
Similarly, we can prove it for two general values of a and b:
[tex](x^a)^b = (x^a)*(x^a)*...*(x^a)\\b\ times[/tex]
Now each one of these parentheses has a multiplying by itself a times.
So when we write all the x's, we will see that there are a total of b*a x's
Thus we will have:
[tex](x^a)^b = (x^a)*(x^a)*...*(x^a) = x^{a*b}[/tex]
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if it is 3:55 what time would it be and a hour and a half later
what is 2.5 (x - 1) + 4.5 (-x - 2)
Answer:
2.5(x-1)+4.5(-x-2)
2.5x-2.5-4.5x-9
-2x-11.5
Step-by-step explanation:
Answer:
2x-11.5
Step-by-step explanation:
[tex]2.5(x-1)+4.5(-x-2)\\2.5x-2.5+4.5x-9\\2.5+2x-9\\2x-11.5[/tex]
hope this helps
–9 + 6p = 5p answer for p
Step-by-step explanation:
[tex] - 9 + 6p = 5p[/tex]
[tex]6p - 5p = 9[/tex]
[tex]p = 9[/tex]
is the answer.
The things to Note:-
The negative changed to +ve when goes beyond the equals to sign.And, the vice versa.☃️ Hope it HELPS ☃️
What is 83/100 simplified?? PLEASE answer quick?
Answer:
Step-by-step explanation:
83/100 is already simplified. You can not make it smaller.
Can someone help me with this please
===========================================
Explanation:
For now, ignore the variables. Let's just focus on the coefficients 12 and 16.
The GCF of 12 and 16 is 4 because this is the largest factor they have in common.
12 = 4*3
16 = 4*4
You could create a factor tree to get the prime factorization of each number
12 = 2*2*3
16 = 2*2*2*2
Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.
--------
Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.
--------
Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.
What is the midpoint for the points (2, 4) and (8, 10)?
Answer:
(5,7)
Step-by-step explanation:
y = x - 2 and y=-2x +7
Answer:
x = 3 , y = 1
Step-by-step explanation:
Solve the following system:
{y = x - 2 | (equation 1)
y = 7 - 2 x | (equation 2)
Express the system in standard form:
{-x + y = -2 | (equation 1)
2 x + y = 7 | (equation 2)
Swap equation 1 with equation 2:
{2 x + y = 7 | (equation 1)
-x + y = -2 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x + y = 7 | (equation 1)
0 x+(3 y)/2 = 3/2 | (equation 2)
Multiply equation 2 by 2/3:
{2 x + y = 7 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 6 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 3 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 3 , y = 1
[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]
[tex]\hrulefill[/tex]
I'm assuming you need to find the solution to this system of equations (where the lines intersect).
We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:
[tex]-2x+7=x-2[/tex]
Add [tex]2x[/tex] to both sides of the new equation:
[tex]7=3x-2[/tex]
Now add [tex]2[/tex] to both sides of the equation:
[tex]9=3x[/tex]
Divide both sides by [tex]3[/tex]:
[tex]\boxed{3}=x[/tex]
Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:
[tex]y=3-2[/tex]
Simplify using subtraction:
[tex]y=\boxed{1}[/tex]
This means our solution is:
[tex]\large\boxed{(3, 1)}[/tex]
Given f(x) = 5x - 3, find f(-2).
Answer:
-13
Step-by-step explanation:
Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13
find the distance between the two points rounding to the nearest tenth (if necessary)
(8,-4)and (3,8)
The distance between the given points is 13 units.
We have two coordinate points A(8, -4) and B(3, 8).
We have to determine the distance between these two points.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of 1st point - A(8, -4)
Coordinates of 2nd point - B(3, 8)
Using the distance formula given -
d = [tex]\sqrt{(3-8)^{2} + (8-(-4)^{2} }[/tex]
d = [tex]\sqrt{(-5)\times (-5) + (12)\times (12)}[/tex]
d = [tex]\sqrt{25 + 144}[/tex]
d = [tex]\sqrt{169}[/tex]
d = 13 units
Therefore, the distance between the given points is 13 units.
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-{-[-2+3]+[-4+(-8)]}
Hey y’all the answer is 17 but idk how to solve it
Point D is on line segment CE.Given DE = 4 and CD
СЕ. .
8, determine the length
CE
szfdxgcvjhgfdshdxfjcgkvhlkgfgd
Answer: B
Step-by-step explanation:
-6.53, -6 1/4, 6.57, 6 3/4.
PLEASE HELP ME I WILL REWARD YOU BRAINLIEST: find the slope of the line through each pair of points [tex](\frac{2}{3} , \frac{4}{7} ) and[/tex][tex](\frac{2}{3} , \frac{11}{7} )[/tex]
Answer:
The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Step-by-step explanation:
i googled it
3m+2n=7 solve for M
It’s late night my brain is stemming. Help
Answer:
M= 7/3 hope that helps ya out
what are the steps to the soultion of 2<-3X-4<5
Answer:
i have no idea
Step-by-step explanation:
no idea
Answer:
-4<x<-2
Step-by-step explanation:
The first thing you do to solve this problem is to look at the limits: -3x-4 should be higher than 2 and lower than 5.
You first find what x should be for -3x-4 to equal 2. After solving, you get that x should be -2 for the equation to be equal to 2.
You then find what x should be for -3x-4 to equal 5. After solving, you get that x should be -4 for the equation to be equal to 5.
Since x can't be -2 or -4, because -3x-4 should be greater than 2 and less than 5, the solutions for x are going to be between -2 and -4.
This is why the answer to this problem is -4<x<-2.
f(x)=3x-2 for D={2,3,4}
Can someone explain/answer this? I think I know the answer but I want to be entirely sure
Answer:
8
Step-by-step explanation:
2×2⁻³×2⁵ =2¹×2⁻³×2⁵ =2¹⁻³⁺⁵ =2³=8If Kim's age is twice of her sister. When you add Kim's age to her sister age, you get 36. How old is each sister? A) Write an equation that represents the situation. Explain any variable used. B)solve the equation from part (a)show your work. State your solution as a complete sentence. Thank you
Answer:
Let's kim's sisters age be 2x and kim's age be x.
★ When we add kim's age to her sister age, they equals to 36.
So, the equation becomes -
[tex] \\ \implies \sf \: x + 2x = 36 \\ \\ \\ \implies \sf \: 3x = 36 \\ \\ \\ \sf \underline{Now, \: \: solve \: \: for \: x \: \: - } \\ \\ \\ \implies\sf \: x = \frac{36}{3} \\ \\ \\ \implies \large{ \boxed{ \sf{ x = 12}}} \\ [/tex]
Kim's sisters age = 12 years.Kim's age = 2x = 2 × 12 = 24 years.Martina drove 792 miles in 11 hours.
At the same rate, how long would it take her to drive 504 miles?
Answer:
7 hours
Step-by-step explanation:
Her rate (speed) is
v = d/t = (792 miles) / (11 hrs) = 72 mph
To drive a distance D = 504 miles, it will take her a time T given by
T = D/v = (504 miles) / (72 mph) = 7 hours
[4+(-3)]b-b(-6+2)
Help me plz
its due by midnight
Step-by-step explanation:
[ 4 - 3 ] b -b (-4)
1 b + 4b
5b Ans according to me
simplify the following expressions ( use distributed property )
I NEED HELP ASAP PLEASEEEE
Evaluate the expression for w = 9.
2w − 2 =
Answer:
2w-2=16
Step-by-step explanation:
w=9
2w-2
2(9)-2
18-2
16
Answer:
16
Step-by-step explanation:
When we have an expression and we are given the value of the variable, we can substitute inside the expression and find it’s value.
[tex]2w-2[/tex], we know [tex]w=9[/tex] so:
[tex](2\cdot 9) - 2[/tex]
[tex]2\cdot9=18[/tex]
[tex]18-2\\\\16[/tex]
Hope this helped!
Alg 1 Wee
Consider the expression 5 (y-7). Which of the following correctly expresses this expression?
Answer:
5y-35
Step-by-step explanation:
since we don't know what y is you have to multiply y and 7 by 5 and you'd get 5y and 35 and then just add the subtraction and bam there's your answer
What is the remainder when x 3 − 7x + 5 is divided by x + 3 ?
the remainder is - 1
Step-by-step explanation:when (x ³ - 7x + 5) is divided by (x + 3) the remindeer is f( -3 )
x + 3 = 0 => x = - 3
f(-3) = (-3)³ - 7(-3) + 5
= - 27 + 21 + 5
= - 1
If Jonathas has saved a total of $700 for the cell
phone, how many months can he pay for?
Choose the equation that represents this situation.
59 + 39m = 700
59 + 39m + 700 = C
39m = 700
Answer: The answer is A
Answer:
its A!!!! i just did it!
Step-by-step explanation:
3. Solve : 16x + 2] > 1 2
Answer:
x > 5/8
Step-by-step explanation:
[16x+2] > 12
16x > 12 - 2
16x > 10
x > 10/16
x > 5/8
Answer:
Step-by-step explanation:
16x + 2 > 12
16x > 10
x > 10/16
x > 5/8
What value of x makes the equation true 4x = 32?
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]4x=32[/tex]
[tex]4\times x =32[/tex]
Divide both sides by 4:
[tex]\frac{4\times x}{4}=\frac{32}{4}[/tex]
[tex]x=8[/tex]
Answer:
x=8
Step-by-step explanation:
800 students are going on a school trip by bus.
Each bus can carry 34 students.
Work out the smallest number of buses needed to carry all the students.
Answer:
24 buses
Step-by-step explanation:
In order to find the answer, we need to divide the number of students by the capacity of each bus. There are 800 students and each bus carries 34.
800/34=23.5
Since we can't have half of a bus, we round up to 24.
24 buses
Find the measures of two complementary angles, ÐA and ÐB, if mÐA = (7x + 4)° and mÐB = (4x + 9)°. Measure of angle A = ... Measure of angle B =
Answer:
The measure of angle A is 53 degrees
The measure of angle B is 37 degrees
Step-by-step explanation:
Here in this question, we are interested in calculating the measure of the two angle.
When how angles are complementary, it means the sum of both equals 90 degrees
mathematically ;
(7x + 4) + (4x + 9) = 90
7x + 4x + 4 + 9 = 90
11x + 13 = 90
11x = 90-13
11x = 77
x = 77/11 = 7
The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees
The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees
1) Which expression represents the area of the
frame in square inches?
12^2 - s^2 is area of the large square minus area of the smaller square. It's the only correct option.
An expression is defined as a set of numbers, variables, and mathematical operations. The expression represents the area of the frame in square inches is 12² - s².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The area of the two squares can be written as,
Area of the larger square = 12²
Area of the smaller square = s²
Now, The area of the frame
= Area of the larger square - Area of the smaller square
= 12² - s²
Hence, the expression represents the area of the frame in square inches is 12² - s².
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