The graphs below have the same shape. What is the equation of the red
graph?
g(x) = ?
f(x)=x²
O A. g(x) = x2 - 3
O B. g(x) = (x - 3)2
O c. g(x) = x2 + 3
D. g(x) = (x+3)2
Answer:
D. [tex]g(x) = x^{2} + 3[/tex]
Step-by-step explanation:
Since the upscaling in the y-axis is not the main focus of this equation (being g(x) and not g(y)), the change is not applied to the x-axis. Hence, we can rule out (x-3)^2 and (x+3)^2 since they apply changes to the x-axis.
Finally, since this is an upscaling of the y-value on the y-axis, the answer is x^2 + 3 and not x^2 - 3.
Hope this helped!
Answer: D
Step-by-step explanation: Apx
6(10-5)-30
5
2 points
A manufacturer of cell phone batteries claims that the average number of recharge cycles for its batteries is 400. A consumer group will obtain a random sample of 100
manufacturer's batteries and will calculate the mean number of recharge cycles. Which of the following statements is justified by the central limit theorem?
lo rite of mis greater than 30
Complete question is;
A manufacturer of cell phone batteries claims that the average number of recharge cycles for its batteries is 400. A consumer group will obtain a random sample of 100 manufacturer's batteries and will calculate the mean number of recharge cycles. Which of the following statements is justified by the central limit theorem?
The Central Limit Theorem tells us that for large sample sizes (in practice n > 30) the sampling distribution of the sample mean will be approximately normal.
A. The distribution of the number of recharge cycles for the sample is approximately normal because the population mean of 400 is greater than 30.
B. The distribution of the number of recharge cycles for the sample is approximately normal because the sample size of 100 is greater than 30.
C. The distribution of the number of recharge cycles for the population is approximately normal because the sample size of 100 is greater than 30.
D. The distribution of the sample means of the number of recharge cycles is approximately normal because the sample size of 100 is greater than 30.
E. The distribution of the sample means of the number of recharge cycles is approximately normal because the population mean of 400 is greater than 30.
Answer:
D. The distribution of the sample means of the number of recharge cycles is approximately normal because the sample size of 100 is greater than 30.
Step-by-step explanation:
We are told that the Central Limit Theorem tells us that for large sample sizes (in practice n > 30) the sampling distribution of the sample mean will be approximately normal. Thus we can pick the correct option as follows:
Option A: This is not the correct answer because it is the sample size (n) that should be greater than 30 and not the population mean as stated.
Option B: This is not the correct answer because the distribution of the sample should correspond to the population shape for large samples because it's only the sampling distribution that is approximately normal.
Option C: This option is not correct because the sample is not meant to have any impact on the population.
Option D: This option is the correct answer because it fulfills the condition of the central limit theorem earlier described.
Option E: This is not the correct answer because just like in option A, it is the sample size (n) that should be greater than 30 and not the population mean as stated.
First term: 2 3/4 sixth term: 3 7/12
Answer:
We conclude that the rule will be:
aₙ = 31/12 + 1/6n
Step-by-step explanation:
Answer:
we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
Step-by-step explanation:
Given
[tex]a_6=3\frac{7}{12}=\frac{43}{12}[/tex][tex]a_1=2\frac{3}{4}=\frac{11}{4}[/tex]The nth term of Arithmetic Sequence
We know the arithmetic sequence with the common difference is defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]where a₁ is the first term and d is a common difference.
To Determine:
The Rule of the nth term of Arithmetic Sequence
Steps to solve the problem
The 6th term of the Arithmetic sequence be defined as
a₆ = a₁ + (6-1) d
substituting a₆ = 43/12 and a₁ = 11/4 to determine d
43/12 = 11/4 + 5d
switch sides
11/4 + 5d = 43/12
subtract 11/4 from both sides
11/4 + 5d - 11/4 = 43/12 - 11/4
5d = 5/6
Divide both sides by 5
5d/5 = [5/6] / [5]
d = 1/6
as
a₁ = 11/4
d = 1/6
Therefore, the nth term of the Arithmetic sequence will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 1/6 and a₁ = 11/4
aₙ = 11/4 + (n-1) × 1/6
= 11/4 + 1/6n - 1/6
= 31/12 + 1/6n
Therefore, we conclude that the rule will be:
aₙ = 31/12 + 1/6n
what are the solutions of the inequality? graph and check the solutions.
Answer:
Option 3: [tex] x \ge 8 [/tex]
Graph C
Step-by-step explanation:
Find the solution of [tex] -\frac{x}{4} \le 2 [/tex]
[tex] -\frac{x}{4} \le 2 [/tex]
[tex] -x \le 8 [/tex](multiplication property of equality)
Divide both sides by -1. Since we are dividing by a negative number, the sign would change
[tex] x \ge 8 [/tex]
This means that the possible values of x are 8 and any number above 8.
Graphing this, the arrow of directed line would start at 8 and move towards our right hand.
Thus, the graph would be graph C in option C.
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:A function should pass the vertical line test.
Graph each of the functions to determine whether it passes the vertical line test.
Set #1 is a function
Set #2 is a function
Set #3 is not a function
Set #4 is not a function
Set #5 is not a function
Set #6 is not a function
Step-by-step explanation:
Please need thank you
Answer:
Wouldnt it be 10
Step-by-step explanation:
An athlete runs 8 miles in 50 minutes on a treadmill. At this rate how far can the athlete run in 1 hour?
Answer:
9.6
Step-by-step explanation:
8/50=x/60
cross multiply
50x=480
x=9.6
Which number line shows the solution to the inequality -3x -5 < -2
Answer:
x > -1
See picture.
Step-by-step explanation:
[tex]-3x-5<-2\\\\-3x-5+5<-2+5\\\\-3x<3\\\\\frac{-3x<3}{-3}\\\\\boxed{x>-1}[/tex]
Hope this helps.
The solution of the given inequality -3x - 5 < -2 is x > -1.
What is inequality ?Inequality is comparing of two non-equal expressions or terms.In linear inequality variables have highest degree of 1.It shows that one value is less than, greater than, less than or equal to or greater than or equal to other.
According to the given question we have to find the solution of the given inequality -3x -5 < -2.
-3x - 5 < - 2
-3x < 3
3x > -3 ( Think of moving the terms to other side to make x positive )
x > 3/-3
x > - 1.
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Which statement best explains the relationship between
lines FG and HJ?
V
2
х
O They are perpendicular because their slopes are
equal
They are perpendicular because their slopes are
negative reciprocals.
O They are not perpendicular because their slopes are
equal.
They are not perpendicular because their slopes are
not negative reciprocals.
Answer: They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
For these two lines to be perpendicular, their slopes have to be negative reciprocals.
Slope of FG.
F = (-4, 1)
G = (0, -2)
= (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 1) / (0 + 4)
= -3/4
Slope of HJ
J = (0 , 4)
H = (-4, -2)
Slope = (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 4) / (-4 -0)
= 6/4
= 3/2
The slopes of these lines are not negative reciprocals so these lines are not perpendicular.
Item 3 Find the slope of the line that contains (-2,-2) and (-10,-9
Answer:
[tex]m=\frac{7}{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, -2)
Point (-10, -9)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{-9+2}{-10+2}[/tex]Add: [tex]m=\frac{-7}{-8}[/tex]Simplify: [tex]m=\frac{7}{8}[/tex]7/16 reduced to lowest terms
Multiply 6/5 x 25/24.
Answer:
5/4
Decimal Form:
1.25
Mixed Number Form:
1 and 1/4
Please answer I really need help!!
Isaac is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $1.50 per mile driven. Company B charges an initial fee of $45 for the rental plus $2.50 per mile driven. Let A represent the amount Company A would charge if Isaac drives x miles, and let B represent the amount Company B would charge if Isaac drives x miles. Write an equation for each situation, in terms of x, and determine the interval of miles driven, x, for which Company A is cheaper than Company B.
Answer:
A= 1.50x+75 B= 2.50x+45
Company A is cheaper than Company B when x > 30 miles.
Step-by-step explanation:
Company A charges$75 for the rental even when driving x=0 miles, and will charge and additional $1.50 per mile driven. Therefore the amount Company A would charge for xx miles is:
A=1.50x+75
Company B charges $45 for the rental even when driving x=0 miles, and will charge and additional $2.50 per mile driven. Therefore the amount Company B would charge for x miles is:
B=2.50x+45
When x takes less than 30 miles, Company A is cheaper than Company B. This is the equation of price that companies i.e. A = 1.50x+75 and B= 2.50x + 45.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
When driving x = 0 miles, Company A charges $75 for the rental and an additional $1.50 for each mile driven. Thus, the price that Company A would charge for x miles is as follows:
⇒ A = 1.50x + 75
When driving x = 0 miles, Company B charges $45 for the rental and an additional $2.50 for each mile driven. Thus, the price that Company B would charge for x miles is as follows:
⇒ B = 2.50x + 45
Hence, when x takes less than 30 miles, Company A is less expensive than Company B. This is the equation of price that companies i.e. A = 1.50x+75 and B= 2.50x + 45.
Learn more about the Linear equations here:
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PLEASE HURRY!! which expression is equivalent???
Step-by-step explanation:
b^(-2) / ab^(-3)
= 1/a * [b^(-2)/b^(-3)]
= 1/a * b = b/a.
P.S. Law of Indices: a^m / a^n = a^(m-n)
Answer: [tex]\frac{b}{a}[/tex]
Step-by-step explanation:
A variable raised to a negative exponent p is equivalent to 1 divided by the variable raised to a positive exponent p.
In this equation, this rule applies to both b variables as follows:
[tex]b^{-2} = \frac{1}{b^2}[/tex]
[tex]\frac{1}{b^{-3}} = \frac{1}{\frac{1}{b^3} } = \frac{b^3}{1}[/tex]
After 'solving' for each negative exponent, you can plug them into the previous negative exponents:
[tex]\frac{1}{b^2} * \frac{b^3}{a} = \frac{b^3}{ab^2}[/tex]
Afterwards, cancel out b^2 from the top and bottom of the equation to get your final answer, as b^2 / b^2 = 1
[tex]\frac{b}{a}[/tex]
During a certain24 -hour period, the temperature at time t (measured in hours from the start of the period) was T(t)=50+6t-1/3t^2
degrees. What was the average temperature during that period?
Answer:
The value of average temperature during that period=[tex]58^{\circ}[/tex]
Step-by-step explanation:
We are given that
Temperature at time t is given by
[tex]T(t)=50+6t-\frac{1}{3}t^2[/tex]
We have to find the average temperature during a certain 24-hour period.
We know that
Average value of function
[tex]f_{av}=\frac{1}{b-a}\int_{a}^{b}f(x)dx[/tex]
Using the formula
Average temperature during the period
[tex]=\frac{1}{24-0}\int_{0}^{24}(50+6t-\frac{1}{3}t^2)dt[/tex]
[tex]=\frac{1}{24}[50t+3t^2-\frac{1}{9}t^3]^{24}_{0}[/tex]
[tex]=\frac{1}{24}(50\times 24+3(24)^2-\frac{1}{9}(24)^3)[/tex]
[tex]=58^{\circ}[/tex]
Hence, the value of average temperature during that period=[tex]58^{\circ}[/tex]
Juan earns $7.00 per hour. How much does he earn in 4 hours?
Answer:
$28.00
Step-by-step explanation: All you need to do is multiply 7 and 4. Then you get 28.
- Lilly Ketchmen
Which group contains numbers that all round most closely to 0?
1/5, 2/9, 0/4.
3/5, 2/4, 4/7.
3/4, 5/6, 7/9.
1/2, 2/7, 9/10
Answer:
1/5, 2/9, 0/4
if the cost of 1 packet biscuit is Rs.17.50,what is the cost of 8 packets of biscuits?
What is 9/4 in mixed number
Answer:
2 1/4
Step-by-step explanation:
4 can go into 9 two times. 4×2=8, 9-8=1
so 2 as the whole number and 1 goes over 4
Answer:
2 1/4
Step-by-step explanation:
To find a mixed number all you need to do is figure out how many times will 4 go into 9 evenly, which is 2, then the remaining amount is just left over which is 1/4
Hope this helps :)
Helpppppppppppppppppppppplpp
Answer:
x=1
Step-by-step explanation:
Using quadratic formula
10 out of the 50 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?
Answer:
20%
Step-by-step explanation:
Help. Please look at the picture. Thanks.
Answer:
Monday: 2 hours
Tuesday: 7 miles
Thursday: 27 miles
Friday: 2 hours
Step-by-step explanation:
Monday: 16 divided by 8 = 2
Tuesday: 21 divided by 3 = 7
Thursday: 9 x 3 = 27
Friday: 16 divided by 8 = 2
I hoped this helped
A scuba diver is 3 meters below sea level. If the diver descends another 8 meters, what is the scuba diver’s position?
Answer:
11 meters below sea level or -11
Step-by-step explanation:
think of a number line. sea level is 0. if the diver is 3 meters down, he's -3 from 0; then he descends another 8 or -8 for a total of -11.
i'm not sure which way you need to write the answer so i've provided both; hope this helps
If $350 is divided into two portions in the ratio 2 to 5 what is the smaller portion
The ratio is 2 : 5 and the smaller portion is 100
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount be A = $ 350
Now , the ratio is 2 : 5
So , the total ratio is = 2x + 5x
= 7x
And, the value 7x = total amount
So , 7x = 350
Divide by 7 on both sides of the equation , we get
x = 50
So , the number 350 in the ratio 2 : 5 is 100 : 250
Hence , the smaller portion is 100
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Simplify -6
.
2
041
318
4
8
318
[tex] - 6 \frac{1}{4} - ( - 2 \frac{1}{8} )[/tex]
[tex] = - 6 \frac{1}{4} + 2 \frac{1}{8} [/tex]
[tex] = \frac{ - 25}{4} + \frac{17}{8} [/tex]
[tex] = \frac{ - 50}{8} + \frac{17}{8} [/tex]
[tex] = \frac{ - 50 + 17}{8} [/tex]
[tex] = \frac{ - 33}{8} [/tex]
[tex] = - 4 \frac{1}{8} [/tex]
What is the answer of this plz tell if u know
[tex]15 + 2 \times ( - 3) - 10 \div ( - 5) [/tex]
Step-by-step explanation:
5+2•(-3)-10/(-5)
15+2•(-3×2)
15+2•-6
15-12
3
So; the answer is 3
5/32 × 64y/100 please help :,)
Answer:
The answer is 1/10y
Find the measure of arc UT
Answer:
If I was you i'll take my chances with 125 degrees.
Answer: 125
Step-by-step explanation:
i hope this helped :)
What is the missing numerator?
5
6
01-
6
8.
9
--
6
Answer:
I'm guessing the answer is 7?