Answer:
YES
Step-by-step explanation:
The equation, [tex] 3(x + 1)2 = (3x + 3)2 [/tex], would be an identity if the equation remains true regardless of the value of x we choose to plug in into the equation.
Let's find out if we would always get a true statement using different value of x.
✍️Substituting x = 1 into the equation:
[tex] 3(x + 1)2 = (3x + 3)2 [/tex]
[tex] 3(1 + 1)2 = (3(1) + 3)2 [/tex]
[tex] 3(2)2 = (3 + 3)2 [/tex]
[tex] 12 = 12 [/tex] (TRUE)
✍️Substituting x = 2 into the equation:
[tex] 3(x + 1)2 = (3x + 3)2 [/tex]
[tex] 3(2 + 1)2 = (3(2) + 3)2 [/tex]
[tex] 3(3)2 = (6 + 3)2 [/tex]
[tex] 18 = 18 [/tex] (TRUE)
✍️Substituting x = 3 into the equation:
[tex] 3(x + 1)2 = (3x + 3)2 [/tex]
[tex] 3(3 + 1)2 = (3(3) + 3)2 [/tex]
[tex] 3(4)2 = (9 + 3)2 [/tex]
[tex] 24 = 24 [/tex] (TRUE)
Therefore, we can conclude that the equation, [tex] 3(x + 1)2 = (3x + 3)2 [/tex], is an identity.
What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17
Answer:
[tex]3x^{3}+3x^{2}-11x+3[/tex]
Step-by-step explanation:
f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]
To make this equation a little less long, we combine like terms
[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]
or just
[tex]3x^{3}+3x^{2}-11x+3[/tex]
The laptop was marked down from $895 to $720
Meg places a tomato plant in her garden She adds a pepper plant 6 feet to the left of the
tomato plant. Then she adds a pumpkin plant 5 feet to the right of the tomato plant. How
many feet apart are the pepper plant and pumpkin plant? Show an absolute value
expression that can be used to find your answer.
Answer:
what is the opinions for the question
10, 9, 11, 8, 15, 18, 13
1. Calculate the mean, median, and mode. Round to the nearest tenth.
Answer:
Median: 11
Mean: 12
Mode: none
Step-by-step explanation:
M A T H W A Y helps
Mode is something that is repeated multiple times
so
Answer:
Median- 11
Mean-12
Mode-none
Step-by-step explanation:First step: Put the numbers in order 8,9,10,11,13,15,18
The median is the middle number so that would be 11
Median-11
Mode is the most repeated number as you can see there is none
Mode- none
Mean is the average of all the numbers so first you add them all together and divide it by 7 because there are 7 numbers in total.
Mean- 12
Dillon is packing equal quantities of pretzels and crackers for snacks. Dillon bags the pretzels in groups of 5 and the crackers in groups of 11. What is the smallest number of crackers that he can pack?
A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.
Provide your answer below:
Answer:
12
Step-by-step explanation:
Pythogorean Theorem:
a squared + b squared = c squared
9 squared or 81 + ? squared = 15 squared or 225
Inverse Pythagorean Theorem:
c squared - a squared = b squared
225 - 81 = 144
sqrt (144) = 12
12 = b
Hope this helps! Good luck!
Please help me ! Today 11/6/2020 :(
which is greater [-3.25] or [4.25]
Answer:
4.25
Step-by-step explanation:
The number is bigger in absolute form
The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.
A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?
B. What is the probability that the sample mean income is between 41 and 45?
C) Find the 80th percentile of the sample mean.
D) Would it be unusual for the sample mean to be less than 38?
E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.
Answer:
Step-by-step explanation:
The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.
A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?
B. What is the probability that the sample mean income is between 41 and 45?
C) Find the 80th percentile of the sample mean.
D) Would it be unusual for the sample mean to be less than 38?
E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.
4/6 + 1/3 please help i need to get my grade up qwq
Explanation:
1/3 is the same as 2/6
Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.
Therefore 4/6 + 1/3 is the same as 4/6 + 2/6
At this point, we add the numerators over the common denominator
4/6 + 2/6 = (4+2)/6 = 6/6 = 1
Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.
how do i work this out.
write 600 as the product of prime factors. Give your answer in index form
Poooo sieieoleltlrllrlr
Answer:
ol rjlrjlfjcohcoucoycl lj
Answer:
:3
Step-by-step explanation:
Grade 10 Math, I need help fast!
Given the function f(x) = 2x. What is the value of f(-3)?
A. -6
B. 8
C. -8
D. 1/8
f(x)=2x
f(-3)=2(-3)
f(-3)=-6
Answer:
A. -6
Step-by-step explanation:
Just plug in -3 to where x is.
3. & 4 will give brainlist helppp !
Answer:
for the first one its the 3 answer
Step-by-step explanation:
i know because i had a similar quiz like yours and it was hard do i got a friend to help and i got 100% trust meeeeeeee
The school administration decided that four grade levels of students (K–3) will share donated funds according to the proportion of students that are in each grade. There are twice as many students in third grade as there are in second grade. There are 5 more students in first grade than there are in second grade. The number of students in kindergarten is 15 more than in first grade. There are 365 students in the K–3 grades at the school.
(A) How many students are in each grade?
(B) What fraction of the money should each grade get?
Answer:
kindergarten = 88
first = 73
second = 68
third = 88
Step-by-step explanation:
365=k+f+s+t
2s=t
s+5=f
f+15=k
USE SUBSTITUTION
365=((s+5)+15) + (s+5) + s + (2s)
365=5s+25
-25 -25
340=5s
/5 /5
68=s
PLUG IN
t=2(68)=136
f=(68)+5=73
k=(73)+15=88
CHECK
68+136+73+88=365
A group of friends were working on a student film. They spent $712 on costumes, which was 89% of their total budget. What was the total budget for their student film?
Answer:
800
Step-by-step explanation:
you divide 712 by .89
Nine less than six times a number -15
Answer:
9-(6×X)=15
Step-by-step explanation:
hope this helsp
Answer:
x= -7.66
Step-by-step explanation:
Let the number be x
According to the question
9(6×x )= -15
9(6x)= -15
54×9x= -15
9x= -15-54
9x =-69
x= -69/9
x = -7.66
What is an equation of the line that passes through the point (8,0) and is parallel to
the line 2 -4y = 20
The topic of this is parallel and perpendicular through points!!
Answer:
i think y=0
Step-by-step explanation:
Explain how multiplying fractions and dividing fractions are alike and how they are different.
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Step-by-step explanation:
Example:
[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]
1. Translate the following sentence into an equation. The product of six and
a number n is three less than the sum of four and n.
Answer:
6n + 3 = 4 + n
Step-by-step explanation:
Answer:
6n-3=4+n
Step-by-step explanation:
Ok since it is saying "the product of six and a number" it is a multiplication of the two variables 6 and n, which will give you "6n." The next part is "three less than." This is a subtraction cause you are subtracting 3 from 6n. The last part "the sum of four and n." Is an addition because it has the word sum, which will give you 4+n.
Product=multiplication
Less than=subtraction
Sum of= Addition
Hope this helped
I wil I give the BRAINIEST!
Please explain :)
What is the best description of the relation?
Four more than three times a number is thirteen
Answer:
3x+4=13
Step-by-step explanation:
Solve: 3 – 8x = -13 need help plzzzzzzz
Answer:
3 – 8x = -13
-8x = -13-3
-8x = -16
x = 2
Two pounds of cashews costs $19. Which table best represents y, the total cost of the cashew for x pounds?
what is the sum of the first 30 multiplies of 3?
A.1200
B.1395
C.1500
D.1490
Answer:
Letter D. 1490
I hope you helped☜☆☞2. The number of violent crimes committed in a day possesses a distribution with a mean of 2.8 crimes per day and a standard deviation of 4 crimes per day. A random sample of 100 days was observed, and the sample mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample means. (5 points) a.) shape unknown with mean of 2.8 and a standard deviation of 0.4
Options :
a.) shape unknown with mean of 2.8 and a standard deviation of 0.4 b.) approximately normal with mean of 2.8 and standard deviation of 4 C.) shape unknown with mean of 2.8 and standard deviation of 4 d.) approximately normal with mean of 2.8 and standard deviation of 0.4
Answer: d.) approximately normal with mean of 2.8 and standard deviation of 0.4.
Step-by-step explanation:
Given that :
Population Mean (m) = 2.8
Population Standard deviation (s) = 4
Sample size = 100
The mean of the sampling distribution is equal to the population mean, according to the central limit theorem. As the size of the sample increases, the mean if the sample distribution converges to that if the population mean.
Hence, sample mean = 2.8
The sample standard deviation (standard error) :
Standard Error = population standard deviation / √sample size
= s/√n
= 4 / √100
= 4/10
= 0.4
Using the Central Limit Theorem, it is found that the correct description of the sampling distribution of the sample means is:
Approximately normal, with mean of 2.8 and standard deviation of 0.4.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a variable of unknown distribution, the Central Limit Theorem can be applied if the sample size is larger than 30.In this problem, the population has an unknown distribution, with mean [tex]\mu = 2.8[/tex] and standard deviation [tex]\sigma = 4[/tex]
The sampling distribution of the sample means of size 100 has:
Approximately normal shape, as the sample size is [tex]n = 100 > 30[/tex].Mean [tex]\mu = 2.8[/tex]Standard deviation [tex]s = \frac{4}{\sqrt{100}} = 0.4[/tex].A similar problem is given at https://brainly.com/question/14099217
Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = 2x – 5 2y – 4x =
Answer:
-10
Step-by-step explanation:
Answer:-10
Step-by-step explanation: trust
200 divided by 5.50 is what because if one hour is 5.50 and you need 200 how many hours do you work
Answer:
if you divided 200 by 5.50 the answer will be 36.3636363636
Find the measure of angle LMN
please help me!!
A band earns 2/3 of their selling concert tickets and 1/5 of their profit from selling merchandise. The band earns 1500$ from selling concert tickets. How much money does the band earn from selling merchandise
Answer:
well what is 1/5 of 1500, thats all you have to do
