Select the correct answer.
Consider these functions:
px) = 5x + 2
g(x) = x2 - 1
What is the value of g(4-1))?
A.
2
B.
00
C.
22
D.
48
Answers
Answer:
g(f(-1)) = 48
Step-by-step explanation:
given the following
f(x) = 5x² + 2
g(x) = x²-1
g(f(x)) = g(5x²+2)
Replace x with 5x² + 2 in g(x) as shown;
g(5x²+2) = (5x²+2))²- 1
g(f(x)) = (5x²+2))²- 1
g(f(-1)) = (5(-1)²+2))²- 1
g(f(-1)) = (5+2))²- 1
g(f(-1)) = (7)²- 1
g(f(-1)) = 49 - 1
g(f(-1)) = 48
Related Questions
Evaluate 2w2+8, when w=−4.
HELP ASAP
Answers
Answer:
-8
Step-by-step explanation:
Plug in -4 for w, 2(-4)2+8 (2x-4x2+8)
2 x -4 x 2 =-16
-16+8= -8
Simplify the expression using the distributive property:
12 (2x + 4)
Answers
Answer:
24x + 48
Step-by-step explanation:
12(2x) + 12(4) = 24x + 48
Answer:
24x + 48
Step-by-step explanation:
dont feel like explaining sorry
URGENT GIVING BRAINLIEST
no links no scams no fake answers no guessing use evidence if you get it correct with evidence i will give you 100 points
Answers
Answer: The mode is 3
The range is 12
Step-by-step explanation:
The mode is the most frequently appearing number
3
The range is the difference between the highest and lowest numbers
12 - 0 = 12
find the area of the shaded region
Answers
Answer:
D) 54.9 cm^2
Step-by-step explanation:
I found the area of the circle wwith the formula A= πr^2
A= π•64
then I found the area of the square, 256
then I subtracted the area of the circle from the area of the square and got approx. 54.9
hope this helps <3
The two spinners are spun.
Find the probability of getting a 2 and the letter B,
P(2 and B)?
Answers
Answer:
P(2 and B) = [tex]\frac{1}{24} = 0.0417[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the events getting a 2 and the letter B are independents, so we find each separate probability and multiply them.
Probability of getting a 2:
8 possible values on the spinner, one of which is 2. So
[tex]P(A) = \frac{1}{8}[/tex]
Probability of getting a B:
6 possible values, two of which are B. So
[tex]P(B) = \frac{2}{6} = \frac{1}{3}[/tex]
P(2 and B)?
[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{8}*\frac{1}{3} = \frac{1}{8*3} = \frac{1}{24} = 0.0417[/tex]
P(2 and B) = [tex]\frac{1}{24} = 0.0417[/tex]
Find the quotient using long division
6x2 - 8x + 5/
X-2
Answers
Step-by-step explanation:
hope this helps have a great day!
The average monthly mortgage payment for all homeowners in a city is $2870. Suppose that the distribution of monthly mortgages paid by homeowners in this city follow an approximate normal distribution with a mean of $2870 and a standard deviation of $470. Find to 4 decimal places the probability that the monthly mortgage paid by a randomly selected homeowner from this city is
Answers
Answer:
The probability that the monthly mortgage is between 2300 and 3140 is: 0.23167
Step-by-step explanation:
Given
[tex]\mu = 2870[/tex] --- the average
[tex]\sigma = 470[/tex] --- the standard deviation
Required [Missing from the question]
Monthly mortgage is between 2300 and 3140
This is represented as:
[tex]P(2300 < x < 3140)[/tex]
This is calculated as:
[tex]P(a< x < b) = P(z_a < Z < z_b)[/tex]
[tex]P(2300< x < 3140) = P(z_b < Z < z_a)[/tex]
Calculate the z scores
[tex]x = 3140[/tex]
[tex]z = \frac{3140 - 2850}{470}[/tex]
[tex]z = \frac{290}{470}[/tex]
[tex]z = 0.6170[/tex]
[tex]x = 2300[/tex]
[tex]z = \frac{3140 - 2300}{470}[/tex]
[tex]z = \frac{840}{470}[/tex]
[tex]z = 1.7872[/tex]
So, we have;
[tex]P(2300< x < 3140) = P(1.1787 < Z < 0.6170)[/tex]
This is then calculated as:
[tex]P(a < Z < b) = P(Z < a) - P(Z <b)[/tex]
[tex]P(a < Z < b) = P(Z < 1.1782) - P(Z <0.6170)[/tex]
[tex]P(2300< x < 3140) = P(Z < 1.1782) - P(Z <0.6170)[/tex]
Using the z table:
[tex]P(Z<0.6170) =0.73138[/tex]
[tex]P(Z<1.7872) =0.96305[/tex]
[tex]P(2300< x < 3140) = 0.96305 - 0.73138[/tex]
[tex]P(2300< x < 3140) = 0.23167[/tex]
Need help pls ASAP no jokes need this badly
Answers
Answer:
x=64°
................
=============================================================
Explanation:
Combining all of the angles shown in the diagram leads to 360 degrees. This is because there are 360 degrees in a full rotation.
Let's add up the angles shown and set the sum equal to 360. Keep in mind that the square angle marker represents 90 degrees (aka a right angle).
180+26+x+90 = 180
x+296 = 360
x = 360-296
x = 64
b) Find the value of 7 - 2x when x = -3
Answers
Answer:
Replacing the value or x = -3in 7 - 2x, we get,
7 - 2 x (-3)
= 7 + 6
= 13
Answer:
13 is the value of 7 - 2x when x = -3
Step-by-step explanation:
7 -(2×-3)
7 - (-6)
7+6
13
Find the missing side. Round to the nearest tenth when necessary
Answers
Use Pythagorean theorem to solve for the hypotenuse. Pic shows solving steps.
Help me please I don’t understand this
Answers
Answer:
40 tickets
Step-by-step explanation:
40 tickets as it aligns with the revenue they are asking for, that is $1000
Estimate 24% of 289 using a rate per 100.
Answers
Answer:
69.36
Step-by-step explanation:
Multiply 289 with 24 and divide the result by 100
289 × 24 ÷ 100 = 69.36
Explain how 17.526 could be rounded to both 18 and 17.5.
Answers
Answer:
Step-by-step explanation:
If you round it to the nearest whole number, then 17.526 becomes 18 because if the first digit after the decimal(in this case,5) is 5 or greater you round to the next whole number.
If you round it to the nearest tenth, it would result in 17.5, because if the second digit after the decimal (in this case, 2) is 5 or greater you round to the next tenth of decimal.
Hope this helps!
Answer:
Step-by-step explanation:
It can be rounded down to 17.5 if rounding to 1 decimal place. If you are rounding to the nearest whole number, you would round to 18.
Hope this helps :)
The diameter of a circle is 8 centimeters. What is the circle's circumference?
Answers
Answer:
25.13 centimeters
Step-by-step explanation:
A DVD disc has a diameter of 12 centimeters. What is the surface area of one side of the disc?
Answers
Answer: 36pi = 113.097336
Step-by-step explanation:
diameter/2 = 6
6^2=36
can someone help me wit this ?
Answers
Answer:
The answer is D
Step-by-step explanation:
The given data set shows the distance traveled, in miles, by customers to a bookstore event to meet their favorite author.
40, 35, 44, 90, 23, 25, 28, 35
Which data value is considered an outlier?
Answers
Answer:
90
Step-by-step explanation:
It is a large distance compared to the others
Answer:
90
Step-by-step explanation:
I took the k12 quiz, hope this helps. :)
slant height =15.2 in. height =14 in.base width =12 in .What is the surface area of the pyramid?
Answers
Answer: 605.08 hope this helps.
Step-by-step explanation:
Please need help on this
Answers
Answer:
x^2 + y^2 = 9
Step-by-step explanation:
HELP ME PLEASE DONT MIND THAT ANSWER DIDNT MEAN THE CLICK IT :(
Answers
Answer:
B)240 sm
Step-by-step explanation
6*4=24 sm
24*10=240 sm
So that means the surface area of that rectangular prism is 240 square meters
Can someone please help me with these 3 questions I’ll mark brainliest
Answers
Answer:
2/ triple need video for the third answer
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line through the points A(-1,-2) and B(2,7)
Answers
Answer:
3
Step-by-step explanation:
By using the formula y2-y1/x2-x1
Madeline invested $51,000 in an account paying interest rate of 6 1/8% compounded daily. Harper invested 51000 in an account paying an interest rate of 5 3/4% compounded monthly. After 13 years, how much more money would Madeline have in her account than Harper
Answers
Answer:
$5564.87
Step-by-step explanation:
We are to determine the difference between the future values of each investment
The formula for calculating future value:
FV = P (1 + r)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
Madeline
P = Present value = 51,000
R = interest rate = 0.06125 / 365 = 0.000168
N = number of years = 13
m = number of compounding = 365
51,000 x (1.000168)^4745 = 113,070.20
Harper
51,000 x (1.004792)^156 = 107,505.33
Difference = 113,070.20 - 107,505.33 = $5,564.87
Answer:$5565 just took it
Step-by-step explanation:
Your mom asked you to frame an 8x10
picture with a piece of yarn. What is the
minimum length of yarn you need to buy to
frame the picture?
Answers
Answer:
80
Step-by-step explanation:
Solve the equation for x. X2 + 10x + 16 = 0 O A. -8,-2 OB. 8,2 OC.-4 OD. 4
Answers
Step-by-step explanation:
[tex] {x}^{2} + 10x + 16 = 0 \\ factors : 2 \: and \: 8 \\ = > {x}^{2} + 2x + 8x + 16 = 0 \\ x(x + 2) + 8(x + 2) = 0 \\ (x + 8)(x + 2) = 0 \\ hence \\ x = - 8 \: and \: - 2 \\ = > A. -8,-2[/tex]
1. The graph of f(x) = x^2 was transformed to create the graph of g(x) = f(x) + 11. Which statement about the graphs is true?
A. The y-intercept of the graph of g is 11 units above the y-intercept of the graph of f
B. The vertex of the graph of g is 11 units to the right of the vertex of the graph of f
C. The graph of g is a reflection of the graph of f across the y-axis
D. The of g is a reflection of the graph of f across the x-axis
2. The graph of g (x) = x^2 was transformed to create the graph of h (x) = 3x^2. Which of these describes the transformation from the graph of g to the graph of h?
A. A vertical stretch by a factor of 3
B. A vertical compression by a factor of 3
C. A reflection over the x-axis
D. A vertical shift up 3 units
3. The graph of f (x) = x^2 was transformed to create the graph of g (x) = 1/4x^2. Which of these describes this transformation?
A. The graph shows a vertical compression
B. The graph is a reflection across the x-axis
C. The graph shows a shift up
D. The graph shows a vertical stretch
Answers
2 B
3 D
these are the answers
Plz help me on this one.
Answers
Answer: 2
Step-by-step explanation:
Answer:
To find the value of x, add 5 to each side.
x - 5 = 13
+5 +5
x = 18
:)
Hailey made the following statement
"It is impossible to build a rectangular prism with a volume of 40 units it one side measures 5 units."
Key
represents
1 cubic unit
Select the two figures below that prove Hailey's statement is false
Answers
Answer:
D
Step-by-step explanation:
Decrease $260 in the ratio 3:5
Answers
32.5 x 3= $97.50
32.5 x 5 = $162.50
$97.50:$162.50
Find the area of the parallelogram shown below.
Answers
Answer:
120 square unitsStep-by-step explanation:
Given,
Base of the parallelogram = 10
Height of the parallelogram = 12
Therefore,
Area of the parallelogram = base × height
= 10 × 12
= 120
Hence,
Area of the parallelogram is 120 square units (Ans)