Answer:
This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out. Hope this helped <3
Factorise 9a³ - 27a² - 100a + 300, if it is given that (3a + 10) is a factor of it.
Answer:
(3a + 10)(3a - 10(a - 3).
Step-by-step explanation:
Do a long division:
3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient
9a^3 + 30a^2
-57a^2 - 100a
-57a^2 - 190a
90a + 300
90a + 300
..................
Factorise the Quotient:
3a^2 - 19a + 30
= 3a^2 - 9a - 10a + 30
= 3a(a - 3) - 10(a - 3)
= (3a - 10)(a - 3)
Please help worth 20 points
Answer:
Try going on D.e.s.m.o.s.c.o.m it worked for me when I had something like this
Step-by-step explanation:
GURL POWER
What is 1+1 because it's obvious that it's 3!!! Duh!!! So hehe
Answer:
IT'S TWOOOOOOOOOOOOOOOO 222222222222222
Solve the system of inequalities by graphing.
12x+6y≥15
2x-4y>8
Answer:
?
Step-by-step explanation:
9th grade math please help will give brainliest !!!
Answer:
48 g - 40 h + 64
Step-by-step explanation:
you take the 8 and multiply it by the numbers that are in the paraentheses. keep the variables the same
Last week the number of bacteria in a petri dish was 2.25×
×
102
10
2
. This week the number of bacteria in the petri dish is 2.75×
×
105
10
5
. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.
Answer:
1221.2 factor increase
Step-by-step explanation:
It is difficult interpreting the numbers. I'll assume:
2.25x10^2 and 2.75x10^5
----
225
275000
The difference(increase) is 274775, or 2.75 x 10^5 to 3 sig figs
There is a (2.75 x 10^5)/(2.25x10^2) or 1221.2 factor increase in bacteria between the two weeks.
simplify the radical 99
Step-by-step explanation:
The square root of 99 is 99½ in the exponential form and 3√11 in its simplest radical form.
Line c passes through points (9, 10) and (1, 3). Line d is perpendicular to c. What is the slope
of line d?
Answer:
-8/7
Step-by-step explanation:
First, find the slope of line c.
(x1, y1) = (9, 10)
(x2, y2) = (1, 3)
The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Solve for the slope using the given values:
[tex]m=\frac{3-10}{1-9}\\\\m=\frac{-7}{-8}\\\\m=\frac{7}{8}[/tex]
The slope of line c is 7/8. To find the slope perpendicular to it, you need to find the negative reciprocal of that number. An example of that would be 2 and -1/2. Basically, flip the fraction and the +/-.
In this case, the negative reciprocal of 7/8 is -8/7. The image below doesn't account for the y-intercept, but it does show that the slopes are perpendicular.
Answer:
slope = - [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
Calculate the slope m of line c using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 10 ) and (x₂, y₂ ) = (1, 3 )
m = [tex]\frac{3-10}{1-9}[/tex] = [tex]\frac{-7}{-8}[/tex] = [tex]\frac{7}{8}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{7}{8} }[/tex] = - [tex]\frac{8}{7}[/tex] ← slope of line d
Find the equation of the line perpendicular to y=(1/2)x+3, that passes through the point (2,-1).
Answer:
i believe that the answer is y= -1/2 +3.
Hello, Can you please take a look at this screenshot I have below, This problem is confusing :/
Answer:
See answers below.
Step-by-step explanation:
m ∠A + m ∠B + m ∠C = 180° The sum of the angles in a triangle = 180
28° + x - 4 + 2x = 180° Substitution
x = 52° Algebra
28° + x - 4 + 2x = 180°
24° + 3x = 180°
3x = 156°
x = 156/3
x = 52°
Check: 28° + 48 + 104° = 180√
Find the domain of the expression.
the square root of x+5
See attachment for answer and math work.
Answer:
Step-by-step explanation:
"Domain" means what numbers are allowed to be x (or on a graph, for what x's does the graph exist)
Since inside a square root you have to have a positive number (actually, just not a negative number). So all the positive numbers work (any positive+5 is a positive number) BUT ALSO x can be 0, BUT ALSO, x can be as small as -5 and still the value inside the square root will not be negative
SO THIS MEANS all the x's we're allowed to use (that's the DOMAIN) are everything from -5 and bigger. In math we write that as x>= -5
There are two other main ways to write it: [-5, infinity symbol) OR {x|x>=-5} these all mean the same thing.
Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 514 pounds of blueberries are divided equally among them?
Answer:
About 35 or 34.27 if you round to the tenths spot.
Step-by-step explanation:
514 divided by 15 is 34.27 once rounded.
Write the algebraic expression to represent the following:
'Twenty more than twice a number .'
Answer:
2x + 20
Step-by-step explanation:
20 + 2x
A scientist evaluated the local deer population. The scientist found that there were 100 deer in all, 15% of which were juveniles. How many juveniles were there in the local deer population?
Answer:
this is easy 100% in this case equals 100 so 15 Juveniles equals 15%
Step-by-step explanation:
what is the slope of the line ?
Answer:
The slope is 3/4 or 0.75.
Step-by-step explanation:
Let's take two points on a line. (-3,2) and (1,-1).
Now, determine the rise and run.
Rise: 3 Run: 4Slope = Rise/Run
=> 3/4Conclusion:
Therefore, the slope is 3/4 or 0.75.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Which table is y a function of x?
Answer:
The first chart
Step-by-step explanation:
Find e and d
3e+d=8
2e+d=8
Answer:
Step-by-step explanation:
g(x) = 3x + 1; Find g(7)
write an expression describing all the angles that are coterminal with 266°
Answer:
-814°, -454°, -94°, 266°, 626°. Did you mean like that?
In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?
Answer:
See image
Step-by-step explanation:
Compare "like" values to write a proportion (two fractions or ratios set equal to each other) Then you can cross multiply to solve the equation for x
Jackson’s rectangular bedroom has an area of 90 square feet. The area of his bedroom is 9 times that of his rectangular closet. If the closet is 2 feet wide. What is it’s length?
Answer:
Im pretty sure the answer is 5.
Step-by-step explanation:
The railroad company wants to sell $8,134 in tickets. If each ticket costs $7, how many
tickets will the railroad have to sell to meet its goal?
Answer:
1162 tickets will need to be sold
Step-by-step explanation:
8134 / 7 = 1,162
Juan has 20 books to sell. He sells the books for $15 each.
The amount of money Juan makes from selling x books is represented by the equation y=15x
y
=
15
x
What is the theoretical range of the equation?
Question 2 options:
All multiples of 20 between 0 and 300, inclusive
All integers from 0 to 20, inclusive
All multiples of 15 between 0 and 300, inclusive
All real numbers
Answer:
Well u would multiply 20 x 15 to find out the highest if the range which is 300 . So that knocks it down to B or D. But since they're $15 each, It would be based of the multiples of 15 making your answer B .
The range is all the y values.....or the f(x) values .
So the practical range would be the multiples of 15 between 0 and 300,Inclusive .
Hope this helps you!!explain how 984/616=123/77
Answer:
984/616 is equal to 123/77 because it is simplified, also meaning reduced by finding the GCF (greatest common factor), which in this case is 8. So therefore, when you divide the numerator of 984 by 8, you get 123, and when you divide the denominator of 616 by 8 as well, you will get 77.
Mariah made a down payment on a van. Which of the following is true because of the down payment?
A. She has additional time to repay the loan.
B. Her credit limit will increase
C. She has some equity or ownership right away.
D. Her insurance will decrease.
Answer:
Option C. She has some equity or ownership right away.
Step-by-step explanation:
I did the Exam too. And got it right. Hope this helped.
Which object has the most kinetic energy?
A. A motorcycle traveling 26 km/h
B. A car traveling 25 km/h
C. A bicycle traveling 18 km/h
O D. A dump truck waiting at a stoplight
Answer: The answer is B, a car traveling 25 km/h.
Which is NOT a line of symmetry?
1
2
3
4
5
Answer:
where's the line?
Step-by-step explanation:
add a line next time
Which statement is true about the function f(x)=(1/3)^x and g(x)=3^-x?
a. The function have the same graph
b. The graph of the function is not the same
c. The graph of the function is not exponential
I really need help, this is probability and statistics, if anyone else is taking this class, please help, it is a unit test study guide.
Answer:
id like to help but the picture is really blurry so im afraid that i cant. but i know there are others who can!
Step-by-step explanation:
i hope this helps you!
I can't see the picture good
List the ordered pairs
Here are the choices