Answer:
x( x-4)(x+3)
Step-by-step explanation:
x^3+x^2−12x
First factor out an x
x(x^2+x^−12)
Now factor inside the parentheses
What two numbers multiply to -12 and add to 1
4*-3 = -12
4+-3 =1
x( x-4)(x+3)
Answer:
x(x - 4)(x + 3)
Step-by-step explanation:
y = x³ + x² - 12x
x(x² + x - 12)
x(x - 4)(x + 3)
Least common multiples of two- digit numbers. I need two examples. SHOW WORK
9514 1404 393
Answer:
LCM(21, 51) = 357LCM(42, 90) = 630Step-by-step explanation:
For a pair of numbers, I find it convenient to think in terms of factors unique to the number, and factors shared with the other number.
Consider the numbers 21 and 51, for example.
21 = 3·7
51 = 3·17
The factor 3 is shared by both numbers. The factors 7 and 17 are unique to one number or the other.
If we group these factors like this ...
(factors unique to 1 [ shared factors ) factors unique to 2]
= (7 [3 ) 17]
The numbers in ( ) parentheses are the factors of 21, and the numbers in [ ] brackets are the factors of 51.
The LCM (least common multiple) is the product of the factors in those brackets:
LCM(21, 51) = 7 × 3 × 17 = 357
__
The unique factors of the numbers don't have to be prime (as in the above example); they just cannot be shared. Here's another example for the numbers 42 and 90
(7 [ 3·2 ) 3·5 ] = (7 [ 6 ) 15] . . . . factors of (42) and [90]
Then the LCM is ...
LCM(42, 90) = 7 × 6 × 15 = 630
_____
Additional comment
What we have called "shared factors" here is the same as the "greatest common divisor"(GCD) or "greatest common factor" (GCF).
If we divide our little diagram so it shows the product of the two numbers:
(42)[90] = (7×6)·[6×15]
we can see that the LCM is the quotient of the product and the GCD.
LCM(A, B) = A·B/GCD(A, B)
This is an occasionally handy relationship, as it is not difficult to find the GCD of a pair of numbers using Euclid's algorithm.
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
[tex]77[/tex]
Step-by-step explanation:
The troop wants to sell a minimum of 1,000 boxes, so we're looking for the smallest number of boxes they can sell and still meet the goal. Since there are 13 girls in the troop, take the ceiling (round up to the nearest whole number) of 1,000 divided by 13:
[tex]\left\lceil \frac{1,000}{13}\right\rceil=\boxed{77}[/tex]
D+16/3=17 the steps??!!
Answer:
11
Step-by-step explanation:
D+16/3=17 the steps?
1. D+16/3=17
Divide 16/3.
D+6 = 17
2. subtract 6 from both side.
D = 11.
The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 37 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.212 mm and sample standard deviation 0.01 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.01 significance level.(a) Identify the correct alternative hypothesis Ha :μ > 21.21 μ < 21.21 μ = 21.21Give all answers correct to 4 decimal places.(b) The test statistic value is:(c) Using the Traditional method, the critical value is:(d) Based on your answers above, do you:Fail to reject H 0 Reject H 0(e) Explain your choice in the box below.(f) Based on your work above, choose one of the following conclusions of your test: There is sufficient evidence to warrant rejection of the claim There is not sufficient evidence to warrant rejection of the claim There is not sufficient evidence to support the claim The sample data supports the claim(g) Explain your choice in the box below.
Answer:
μ > 21.21
Test statistic = 1.217
Kindly check explanation for more details
Step-by-step explanation:
The null hypothesis, H0 : μ = 21.21
Alternative hypothesis, H1 : μ > 21.21
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(21.212 - 21.21) ÷ (0.01 / √2)
= 1.217
The critical value :
From the t distribution :, one tailed = 2.434
Decision region :
Reject H0 if test statistic > critical value
1.217 < 2.434 ; We fail to reject the null ` ; and conclude that there is not enough evidence to support the claim.
A sample of college freshmen was asked how many hours per week they spent playing video games. The following frequency distribution presents the results. Number of Hours Frequency - - - - - - - - - - Part 1 of 2 (a) How many classes are there
Answer:
Step-by-step explanation:
What is the value of -42 +(5-2)(-6)?
Answer:
-60
Step-by-step explanation:
Give me brainiest answer if i helped :)
Answer and Step-by-step explanation:
Simply just add everything together, but first do everything in the parentheses.
-42 + (3)(- 6)
-42 + -18
-60 is your answer to the expression.
#teamtrees #PAW (Plant And Water)
BRAINIEST AND 10 POINTS
Answer:
Last answer is correct..
Find the missing length indicated
Answer:
The missing length is 80 degrees.
Step-by-step explanation:
Every triangle is equal to 180 degrees. If you add 64 and 36, you get 100. 180-100 is equal to 80, therefor x is equal to 80.
find the standard deviation for this data set 9, 15, 13, 9, 15 round your answer to the nearest tenth
Answer:
3.0Step-by-step explanation:
Sample standard deviation is found by steps below.
Find the mean:
μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2Find deviations from the mean and their squares:
9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.8413 - 12.2 = 0.8 ⇒ 0.8² = 0.649 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.84Sum the squares:
10.24*2 + 7.84*2 + 0.64 = 36.8Divide by N - 1 (N - number of samples):
36.8/(5 - 1) = 9.2Square root is the sample standard deviation:
σ = √9.2 = 3.0 (rounded)100-19+20+200= what is the answer for this question
Answer:
301
Step-by-step explanation:
Heres ow you do it,
1- 100-19= 81
2- 81+20= 101
3- 101+200= 301
Hope this helps!!! :)
(easy 7th grade math questions please help) find the measure of the indicated angle in each triangle
Step-by-step explanation:
Thei answers in picture
When you multiply a number by 6 and subtract 5m the product ,you get 7. find the number.
with solution
Answer:
x = 2
Step-by-step explanation:
Let the number be x
When we multiply a number by 6 and subtract it by 5, we would get 7.
On multiplication of number x with 6 it will be 6x.12
On subtraction of 5 it will be 6x - 5
6x - 5 = 7
6x = 7 + 5
6x = 12
x = 12/6
x = 2
Answer:
The number is 2
Step-by-step explanation:
Let the number be n
Multiply the number by 6 = 6n
Subtract 5 from the number , 6n - 5
And we get 7
So , the expression : 6n - 5 = 7
6n = 7 + 5
6n = 12
n = 2
Part A: Elijah has 1/2 bag of candy. A bag of candy weighs 5 pounds. How many pounds of candy does Elijah have?
Part B: Elijah has 2 1/2 bags of candy. A bag of candy weighs 5 pounds. How many pounds of candy does Elijah have?
Answer:
A. 2.5 pounds
B. 12.5 pounds
Step-by-step explanation:
Answer:
a 2.5 b 12.5
Step-by-step explanation:
The nurse is preparing to administer filgrastim to a client with leukemia who weighs 60 kg. The prescribed dose is 5 mcg/kg/day. The available dose is 300 mcg/mL. How many milliliters will the nurse administer?
300ml.
60×5=300 so yea, that's ur answer
find the consecutive odd numbers such that 6 times the smaller plus 3 times the larger comes to 105
Answer:
11 and 13
Step-by-step explanation:
let smaller odd number be x
larger odd nuber be x+2
according to the question algebraic expression can be written as
6x+3(x+2)=105
6x+3x+6=105
9x=105-6
9x=99
x=99/9
x=11
larger number=x+2
11+2
13
The RADIUS of the barrel is 2.
What is the circumference of the barrel?
Step-by-step explanation:
the required formula is C = 2(pi)r.
Here that comes to 6.28(2 units), or 12.56 units.
/ Solve . Round the answers to the nearest hundredth.
Answer:
226000
Step-by-step explanation:
225992 is closer to 226000 than 225900
There are 15 books on a shelf. 9 of these books are new. The rest of them are used. what is the ratio of all books
Answer:
a)15:6 b)2:3
Step-by-step explanation:
No. of used books=15-9=6
a) 15:6
b)
6:9
2:3
HELP PLSSSSSSSSSSSSSS!!!!!!!!!!!!!! I will Give Brainlyest!!!
Answer:
[tex]\frac{21}{8}[/tex]
Step-by-step explanation:
[tex]6\frac{1}{4}=6+\frac{1}{4}=\frac{25}{4}\\\\3\frac{5}{8}=3+\frac{5}{8}=\frac{29}{8}\\[/tex]
finally
[tex]6\frac{1}{4}-3\frac{5}{8}=\frac{25}{4}-\frac{29}{8}=\frac{21}{8}[/tex]
Find the volume of a cone with base area 16pi ft squared and height 9 ft.
Answer:
[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times16\pi \times 9 \\ =48\pi \: cubic \: ft[/tex]
PLEASE ANSWER THIS QUESTION
Answer: 31 is No 35 is Yes 28 is No 36 is Yes
The difference between two positive numbers is 18.
Answer:
9+9=18
Step-by-step explanation:
as they are positive numbers so by adding it we get 18
Find the volume plzzzzz thx
Answer:
144 isnt it? 6x6x4 length x width x height it should be 36x4
Step-by-step explanation i dont know sorry
What is the value of the expression 3w + 2y - 6 (if) w = 8, y = 5
Answer:
28
Step-by-step explanation:
What is the missing side length?
C 5) Identify 2/10 as a decimal. * O 10.2 2.10 O .2 o O .02
Answer:
0.2
Step-by-step explanation:
Which of the following rational functions is graphed below?
Answer:
C
Step-by-step explanation:
The vertical asymptote occurs at x=6. Hence denominator of the fraction should be x-6. Hence it is C
In the standard equation for a conic section Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, if A = C , the conic section in question is a circle
True
False
Brianna went to a carnival. She played five games and rode six rides. Justin went to the same carnival and played seven games and rode eight rides. If Brianna paid $11.75 and Justin paid $16.15, how much did one game cost to play?
Explain pls
9.
Los conjuntos de parejas ordenadas son ejemplos de funciones, excepto:
A) {(1, 1), (2, 1), (3, 1).(4.1).(5, 1))
B) ((0, 1). (1.2). (2,4), (3.9). (4.16))
C) f(-2, 1), (-1,0), (0, 1).(-1,2), (2, 2))
D) ((-2,-3), (-1,-1). (0, 1), (1,3). (2.5))
Una función se define como un conjunto de parejas ordenadas (x, y) donde no se repite el valor de "x" (corresponde al dominio de la función) En el caso específico del ejercicio, la alternativa C no corresponde con una función ya que tienen dos parejas con el mismo valor de "x": {(-2,1), (-1,0), (0,1), (-1,2), (2,2)} Estos pares están en negrita, y el valor repetido subrayado.