Step-by-step explanation:
x cannot be factored out of these two monomials because x is not present in both of them.
The largest degree of x that can be factored out of all terms 9x and 45 is 0
What are some basic properties of exponentiation?If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
How can we rewrite a constant as a coefficient?Suppose there is a constant 'c'.
We can write it as:
[tex]c = c \times 1 = c \times x^0[/tex]
where 'x' is the variable in consideration. Here even when x = 0, we would assume that for all real numbers 'x', its power raised to 0 makes it evaluate to 1.
For this case, we can rewrite both the terms as:
[tex]9x = 9x\times 1 = 9x \times x^0[/tex][tex]45 = 45 \times 1 = 45 \times x^0[/tex]Thus, the maximum of x that can come out common out of these two terms is [tex]x^0[/tex] (its degree, or power, or exponent is 0)
Thus, the largest degree of x that can be factored out of all terms 9x and 45 is 0
Learn more about exponentiation here:
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I need help finding the slope
Answer:
slope=0.5
equation of the line= y=.5x+5
Step-by-step explanation:
[tex]x_{2}[/tex]-[tex]y_{2}[/tex]/[tex]x_{1}[/tex]-[tex]y_{1}[/tex] substitute your x and y values in
5.5-5/1-0=.5
5.5 is [tex]x_{2}[/tex] and 5 is [tex]y_{2}[/tex]
1 is [tex]x_{1}[/tex] and0 is [tex]y_{1}[/tex]
Hope this helps!
Aubrey jarred 24 liters of jam after 4 days. How much jam did Aubrey jar if she spent 5 days making jam? Assume the relationship is directly proportional.
? liters
I NEED HELP PLZ I WILL GIVE MORE POINTS I NEED 20 MORE POINTS TO GET FROM A 64 TO AN 80
Hey! I was wondering if you could give me some help with math?
[tex]1\frac{1}{9}*4\frac{1}{2}+(3\frac{1}{5}-\frac{1}{3} )[/tex]
Answer:
118/15 or 7.8666666666666666666666666666666666666666666666666666666666666666... decimal
Step-by-step explanation:
Simplify the following:
(1 + 1/9) (4 + 1/2) + 3 + 1/5 - 1/3
Put 1 + 1/9 over the common denominator 9. 1 + 1/9 = 9/9 + 1/9:
9/9 + 1/9 (4 + 1/2) + 3 + 1/5 - 1/3
9/9 + 1/9 = (9 + 1)/9:
(9 + 1)/9 (4 + 1/2) + 3 + 1/5 - 1/3
9 + 1 = 10:
10/9 (4 + 1/2) + 3 + 1/5 - 1/3
Put 4 + 1/2 over the common denominator 2. 4 + 1/2 = (2×4)/2 + 1/2:
10/9 (2×4)/2 + 1/2 + 3 + 1/5 - 1/3
2×4 = 8:
10/9 (8/2 + 1/2) + 3 + 1/5 - 1/3
8/2 + 1/2 = (8 + 1)/2:
10/9 (8 + 1)/2 + 3 + 1/5 - 1/3
8 + 1 = 9:
10/9×9/2 + 3 + 1/5 - 1/3
10/9×9/2 = (10×9)/(9×2):
(10×9)/(9×2) + 3 + 1/5 - 1/3
(10×9)/(9×2) = 9/9×10/2 = 10/2:
10/2 + 3 + 1/5 - 1/3
The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:
5 + 3 + 1/5 - 1/3
Put 5 + 3 + 1/5 - 1/3 over the common denominator 15. 5 + 3 + 1/5 - 1/3 = (15×5)/15 + (15×3)/15 + 3/15 - 5/15:
(15×5)/15 + (15×3)/15 + 3/15 - 5/15
15×5 = 75:
75/15 + (15×3)/15 + 3/15 - 5/15
15×3 = 45:
75/15 + 45/15 + 3/15 - 5/15
75/15 + 45/15 + 3/15 - 5/15 = (75 + 45 + 3 - 5)/15:
(75 + 45 + 3 - 5)/15
| 1 |
| 7 | 5
| 4 | 5
+ | | 3
1 | 2 | 3:
(123 - 5)/15
| | 1 | 13
| 1 | 2 | 3
- | | | 5
| 1 | 1 | 8:
Answer: 118/15
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[tex]1 \frac{1}{9} \times 4 \frac{1}{2} + (3 \frac{1}{5} - \frac{1}{3} ) = \\ [/tex]
[tex] \frac{9 + 1}{9} \times \frac{8 + 1}{2} + ( \frac{15 + 1}{5} - \frac{1}{3} ) = \\ [/tex]
[tex] \frac{10}{9} \times \frac{9}{2} + ( \frac{16 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) = \\ [/tex]
[tex] \frac{9 \times 10}{9 \times 2} + ( \frac{48}{15} - \frac{5}{15} ) = \\ [/tex]
[tex] \frac{10}{2} +( \frac{48 - 5}{15} ) = \\ [/tex]
[tex]5 + ( \frac{43}{15} ) = \\ [/tex]
[tex] \frac{75}{15} + \frac{43}{15} = \frac{118}{15} \\ [/tex]
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I understand the question
Answer:
D. add all the y values to get 696 and then add all the x values and get 11.6 divide 696 by 11.6 and you get 60. You get the y-values by multiplying 60 by the x value, so D is the correct answer
Step-by-step explanation:
How many different committees can be formed from 10 teachers and 37 students of the committee consist of three teachers and two students? how many ways can the committee of five members be selected?
Answer:
79,920 different ways
Step-by-step explanation:
Combination has to do with selection:
If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.
10C3 = 10!/(10-3)!3!
10C3 = 10!/7!3!
10C3 = 10*9*8*7!/7!3!
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 ways
Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;
37C2 = 37!/(37-2)!2!
37C2 = 37!/35!2!
37C2 = 37*36*35!/35!*2
37C2 = 37*36/2
37C2 = 37 * 18
37C2 = 666 ways
Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666
120 * 666 = 79,920 ways
Plz help me I’m behindddd
Answer: A; r = square root (S/4pi)
Step-by-step explanation:
1. Divide 4pi on both sides to get r^2 by itself so the left side becomes S/4pi (you do this because 4, pi, and r^2 are being multiplied together on the right side in the original equation so to cancel that out and get r by itself you do the opposite of multiplication)
The equation should now look like r^2 = S/4pi
2. Square root both sides including r to get rid of the r^2 so it becomes just r (also when you square root both sides, you square root all of S/4pi not just S or 4pi but the whole thing)
After you do that, you get r = square root (S/4pi) which is answer A
Hope this helps! :)
A restaurant sold tacos and burritos. Tacos cost $2.00 and burritos cost $1.00. The restaurant sold 48 items for a total of $86.00. Write a system of equations.
Answer:
blank 1-2x+y1=86
Blank 2- x+y=48
Step-by-step explanation:
what is the (gcf) of 18 and 72?
Answer:
18
Step-by-step explanation:
The GCF is also known as the greatest common factor. Every number can be written as the product of at least 2 numbers, and almost every number has at least one factor that is a prime number (or a number that is only divisible by 1 and itself).
Let's find the prime factorization of 18 and 72; in other words, let's find what prime numbers make these numbers up.
18 = 2 * 9 = 2 * 3 * 3 ⇒ notice that while 9 isn't a prime number, 2 and 3 are
72 = 2 * 36 = 2 * 2 * 18 = 2 * 2 * 2 * 3 * 3 ⇒ again, 2 and 3 are primes
In finding the GCF, we want to find the largest value of the prime numbers that the two numbers share.
Here, we see that both 18 and 72 have at least one factor of 2 and at least two factors of 3. So, that's the greatest common factor: 2 * 3 * 3 = 18.
Pls helpp me ASAP!!!!!
Answer:
28,42,56, And 70..
Step-by-step explanation:
Its because after 14 count by 14 then get 70 4 more times.✌
What is negative 3/2 divided by 11/6?
Answer: 0.81818181818
Step-by-step explanation:
Answer:
-9/11
Step-by-step explanation:
You have to find the reciprocal of the number you're dividing by. In your case the number you are dividing by is 11/6. Just flip 11/6 to get the reciprocal, and the multiply it by -3/2. 6/11 is the reciprocal of 11/6.
[tex]-\frac{3}{2} * \frac{6}{11} = -\frac{18}{22}[/tex]
Simplify by dividing by 2.
-9/11 is the answer.
HOPE THIS HELPS!!
6
Your sister works as a tutor in the evenings.
Last school year she charged $25 per hour
for her services. After taking some
certification classes over the summer, she
increased her hourly charge by 40%. How
much does your sister now charge per hour
for her tutoring services?
Answer:
$35
Step-by-step explanation:
Please Guys can you help me
Answer:
125
Step-by-step explanation:
because is it's fith it would have gone up to 125 because there is 4 25 in 100
what is the value of x?
Answer:c
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
[tex]x \degree = 180 \degree - (90 \degree + 42\degree) \\ \\ x \degree = 180 \degree - 132\degree\\ \\ x \degree = 48\degree \\ \\ x = 48[/tex]
what was the average speed of the winner in miles per hour? Explain
Answer:
my mom
OOOO
Step-by-step explanation:
huh 12x*5
4 6/7 + 3 5/7 please help me
Answer: The answer is 60/7 or in mixed number form it is 8 4/7...
to make it easier, all you do is make the fractions improper and then add... If they didn't have the same denominator then you would make them have the same denominator. But they already have the same denominator... Or in other words convert the fractions into improper fractions, then find the LCD and combine... 34/7+26/7
34+26/7
60/7
decimal form: 8.571428
mixed number form: 8 4/7
Hope this helps... Stay safe and have a great day/night!! :D
Answer:
about 8.6, or 8.57142857143
Step-by-step explanation:
4 6/7 + 3 5/7
= 28+6/7 + 21+5/7
= 34/7 +26/7
= 60/7
= about 8.6
raul drove 80 miles.this represent 50% of the entire trip what is the total number of miles on raul trip
Answer:
its 160 miles
What is
of 1 of 10?
5
Answer:
Pretty sure it's 2
Step-by-step explanation:
What is the point slope form of a line with a slope of 5 and goes through the
point (1,5)? *
Answer:
y-5=5(x-1)
Step-by-step explanation:
Point slope form is: y-y1=m(x-x1)
y1 here is 5 and x1 is 1, because those are the points in the ordered pair given.
y-5=x-1 would be your base answer, but you need to account for the slope as well, which is m. So, y-5=5(x-1)
Hope this helped! :)
Answer: y+1=-5(x-2)
Step-by-step explanation:
what is 1 + 1?
i really dunno and i wanna know plus yall need points
Answer:
Step-by-step explanation:
2 period
Answer:
2
Step-by-step explanation:
thanks for the points
I need help plzzzzzzzzz
Which expression uses the associative property to make it easier to evaluate
8(1.3)
A. 8(3
B. 43
C. (8)
D. (8)
Answer:
The answer to this question is A. 8(3/5*1/4).
Answer:
b
Step-by-step explanation
i think
Can someone plz help me it is timed ill give Brainliest if it is correct
Answer:
b
Step-by-step explanation:
I had this exactl question a while ago
PLEASE I NEED HELP, ILY ILL GIVE 30 POINTS
Answer:
Question 1:
The angles are presented here using Autocad desktop application
The two column proof is given as follows;
Statement [tex]{}[/tex] Reason
S1. Line m is parallel to line n [tex]{}[/tex] R1. Given
S2. ∠1 ≅ ∠2 [tex]{}[/tex] R2. Vertically opposite angles
S3. m∠1 ≅ m∠2 [tex]{}[/tex] R3. Definition of congruency
S4. ∠2 and ∠3 form a linear pear [tex]{}[/tex] R4. Definition of a linear pair
S5. ∠2 is supplementary to ∠3 [tex]{}[/tex] R5. Linear pair angles are supplementary
S6. m∠2 + m∠3 = 180° [tex]{}[/tex] Definition of supplementary angles
S7. m∠1 + m∠3 = 180° [tex]{}[/tex] Substitution Property of Equality
S8. ∠1 is supplementary to ∠3 [tex]{}[/tex] Definition of supplementary angles
Question 2:
(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal
(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal
(c) The property of a rhombi that is also a property of a square is that all the sides of a rhombi are equal
(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular
(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal
Step-by-step explanation:
Jordan has traveled 255 miles out of 340 miles on a trip. What percent of the total distance has he traveled?
A. 73%
B. 82%
C.75%
D. 70%
A book with an original price of $20 has a 15% discount. Which expression represents the new price of the book?
A. $20 × 0.15
B. $20 × 0.985
C. $20 × 1.15
D. $20 × 0.85
Answer:
A
Step-by-step explanation:
20.00 * .15
.15 = 15 out of 100 = 15%
choose all statements that show correct reasoning for finding 15 divided by 2/9
Answer:
The second and the last options.
Step-by-step explanation:
15/ 2/9 =67.5 Solve the original problem
15*2/9 =3.33333333333
15*9/2 =67.5
(15* 1/9) /2=0.833333333333333
15*9* 1/2 =67.5
Answer:
b and d
Step-by-step explanation:
Sara works 40 hours per week and earns $660. Which graph shows the unit rate for this situation?
Answer: $16.5/hour
Step-by-step explanation:
The unit rate is the relationship between y and x if x = 1
660/40 = 16.5
That means, if x = 1, y = 16.5
Therefore, $16.5/hour
Before the holidays Apple wants to raise the price of the new iPhones. If the new iPhone 12 is
$839, and they want to markup the price by 15%. What is the new total cost?
Answer:
$964.85
Step-by-step explanation:
$839 x 1.15 = $964.85
The answer is 964.85. 964.85 would be the new total cost.
What is the vertex of the graph of f(x) = |x – 13| + 11?
(–11, 13)
(–13, 11)
(11, 13)
(13, 11)
Answer:
(13, 11)
Step-by-step explanation:
I graphed the line and the vertex is at 13, 11
The vertex of the function f(x) = |x - 13| + 11 is (13,11)
How to determine the vertex?The function is given as:
f(x) = |x - 13| + 11
The above function is an absolute value function
An absolute value function is represented as:
f(x) = a|x – h| + k
Where, the vertex is (h,k)
So, we have:
(h,k) = (13,11)
Hence, the vertex of the function f(x) = |x - 13| + 11 is (13,11)
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