f(x) = 4x and g(x) = f Superscript one-half x
A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries one-sixteenth, one-fourth, 1, 4, 16. The third column is labeled g (x) with entries A, one-half, B, 2, C.
Use the values given in the table and the functions to determine the missing values.
A =
B =
C =
Answers
Answer:
Step-by-step explanation:
A = 1/4
B= 1
C = 4
What are functions ?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
x = -2
function f(x) = 1/16
function g(x) = A
f(x) = 4 and g(x) = f (1/2)^x (given )
a) to find A
g(x) = f (1/2)^x
substituting the values
g(x) = 1/16 * (1/2)^(-2)
A = 1/16 * 2^2
A = 1/4
b) to find B
x=0
f(x) = 1
b= ?
g(x) = f (1/2)^x
B = 1 * (1/2)^0
B= 1
c) to find C
x= 2
f(x) = 16
C = ?
g(x) = f (1/2)^x
C = 16 * (1/2)^2
C = 4
learn more about functions:
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Related Questions
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Match the points on
the number line with the rational numbers they represent.
A
B
C
D
E
1.3
-1.7
1.7
-0.8
-0.2
Answers
Answer:
A: 1.7
B: 1.3
C: -0.2
D: -0.8
E: -1.7
Step-by-step explanation:
Let n = 3.14
Round your answer to the nearest whole number.
Do not include units, in?, in your answer.
Answers
Answer:
........................................................................
Step-by-step explanation:
helpppppp
on a timer so need ASAP
Answers
50 POINTS PLEASE HELP Based on this data, you could expect a skate blade with a radius of hollow of 19 mm to have a stopping distance of
4 1/2 m
5 m
5 1/2 m
6 m
Answers
Answer:
5 m
Step-by-step explanation:
how do you find the product of (3x+4)^2
Answers
each number and variable inside the parentheses has an exponent, in this case all of them are 1.
3^2 * x^2 + 4^2
9*x^2+16
final answer:
25x^2A box has a volume given by the trinomial x^3 + 4x^2 — 32x. What are the possible dimensions of the box?
Answers
Answer:
x(x-4)(x+8)
Step-by-step explanation:
Factor.
x(x^2+4x-32)
x(x-4)(x+8)
What is the degree measure of z
A.29
B.39
C.68
D.41
Answers
Answer:
[tex]\Huge\boxed{C.68}[/tex]
Step-by-step explanation:
Hello There!
The exterior angle of a triangle rule is that the exterior angle is equal to the sum of the interior opposite angles
So essentially what I'm saying is that
z = 29 + 39
29+39=68 therefore the measure of angle z is 68
What is the approximate area of the garden?
Answers
Answer:
Option D
Step-by-step explanation:
By applying Pythagoras theorem in triangle ABC,
(Hypotenuse)²= (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
AC² = (40 - 15)² + (80 - 75)²
AC² = (25)² + 5²
AC² = 650
AC = √650
AC = 25.495 ft
Since, area of a rectangle = Length × Width
Therefore, area of the garden = 25.495 × 6
= 152.97
≈ 153 ft²
Since, 150 is very close to 153, approximate area of the rectangular garden is 150 ft².
Option D is the answer.
Evaluate without using a calculator (x2y-3)0+x1/3-(4x)1/2 when x = 64 and y = 27. Show work.
Answers
Given:
The expression is:
[tex](x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}[/tex]
To find:
The value of the given expression when [tex]x=64[/tex] and [tex]y=27[/tex].
Solution:
We have,
[tex](x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}[/tex]
Putting [tex]x=64[/tex] and [tex]y=27[/tex], we get
[tex]=((64)^2(27)-3)^0+(64)^{\frac{1}{3}}-(4(64))^{\frac{1}{2}}[/tex]
It can be written as
[tex]=((64)^2(27)-3)^0+(4^3)^{\frac{1}{3}}-(4)^{\frac{1}{2}}(64)^{\frac{1}{2}}[/tex]
[tex]=1+4-2(8)[/tex] [tex][\because a^0=1,a\neq 0][/tex]
[tex]=5-16[/tex]
[tex]=-11[/tex]
Therefore, the value of the given expression [tex]-11[/tex] when [tex]x=64[/tex] and [tex]y=27[/tex].
Circles C and D overlap. The distance from point C to point D is 7 centimeters. What is the sum of the areas of circle C and circle D? 7Pi units squared 14Pi units squared 49Pi units squared 98Pi units squared
Answers
Answer:
98π cm²
Step-by-step explanation:
A circle is a plane figure. A circle is the locus of a point such that its distance from a given point is always constant.
We can see that both circle C and circle D are equal with a radius of 7 cm.
Area of circle C = π* radius² = π * 7² = 49π cm²
Area of circle D = π* radius² = π * 7² = 49π cm²
The sum of the areas of circle C and circle D = Area of circle C + Area of circle D = 49π + 49π = 98π cm²
Answer:
c
Step-by-step explanation:
Libby takes a test that has a total possible score of 800. Each question is worth the same
number of points. If she misses 3% of the questions, what is her score?
Answers
Answer:
Step-by-step explanation:
800(1-3/100)
800(100-3)/100
800(97)/100
77600/100
776 is her score.
the perimeter of a rectangle is 32 feet. the length is 3x the width. what is the length? what is the width.
Answers
Answer:
The length is 8
The width is 8
Answer:
Step-by-step explanation:
this is about algebra, and my calculus prof. says that all people struggle with algebra, so work on it :D
P = 32 ( the total )
use the formula
P = 2L + 2W
but we are told that L =3W also sooo put that into L
P = 2(3W ) + 2w
32 = 6W + 2W
32 = 8W
4 = W
so width is 4
and length is 12
:)
What is 8 divided by 2
Answers
Answer:
4
8/2 = 4
hope that helps...
the equations in the triangle consist of (2x +1) and (5x +5)
Answers
7x + 96 = 180
7x = 180 - 96
7x = 84
x = 12
What is the magnitude of the change of Stock A?
Answers
Answer:
Step-by-step explanation:
D. 4.15
[tex]11 - 4d = 71[/tex]
help me out hea please♀️
Answers
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
Answers
Answer:
-972
Step-by-step explanation:
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
If f(1)= 4
f(2) = -3f(2-1)
f(2) = -3f(1)
f(2) = -3(4)
f(2) = -12
f(3) = -3f(3-1)
f(3) = -3f(2)
f(3) = -3(-12)
f(3) = 36
f(4) = -3f(4-1)
f(4) = -3f(3)
f(4) = -3(36)
f(4) = -108
f(5) = -3f(5-1)
f(5) = -3f(4)
f(5) = -3(-108)
f(5) = 324
f(6) = -3f(6-1)
f(6) = -3f(5)
f(6) = -3(324)
f(6) = -972
hence the sixth term of the sequence is -972
frist one to do it gets brainist
Answers
Answer:
tennis and chess
Step-by-step explanation:
Tennis and chess
Step by step solution:
Basketball is 25 percent so you need two things add up to 25%...
Cricket is out since it’s already over 25% alone
Soccer is out since it would only need 5% to add on to its 20% to equal 25% which there is none that’s 5%
That leaves 2 activists tennis and chess
Hope this helps!
The area of a semicircle is 0.2512 square inches. What is the semicircle's radius?
Answers
Answer:
0.28277
I got this by plugging in 0.2512 for "A" ( A = π r² ) Then I solved the rest ( divide both sides by pie, then taking the square root from that.
Step-by-step explanation:
Cos Milky Said it.
In AMNP, what is sin M?
12
P
M
5
13
N
Answers
Answer:
A
Step-by-step explanation:
triangle ez ez and yes i am smart big brain
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 4x + 1 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (2, 5). Function 2 has the larger maximum at (3, 2).
Answers
Answer:
wait can we have the graph
Step-by-step explanation:
Answer:
Function 2 has the larger maximum at (2, 5).
Step-by-step explanation:
To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Jandeliz buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the MEASUREMENT error?
1, 0.96
2. 0.1
3. 0.042
4. 0.04
Answers
Answer: 0.04
Step-by-step explanation:
The measurement error is calculated as:
= Error / Ideal value
= (2.5 - 2.4) / 2.5
= 0.1/2.5
= 0.04
Therefore, the correct option is D.
For the given cost function C ( x ) = 19600 + 500 x + x 2 , First, find the average cost function. Use it to find: a) The production level that will minimize the average cost
Answers
Answer:
The answer is "140".
Step-by-step explanation:
Calculating the average cost:
[tex]= \frac{C(x)}{x}\\\\ = \frac{19600+500x+x^2}{x} \\\\ = \frac{19600}{x}+500 +x\\\\[/tex]
To minimize average cost we have to find x for wich A'(x)=0
[tex]A(x) = \frac{19600}{x}+500 +x \\\\A'(x) = -\frac{19600}{x^2}+1 \\\\0= -\frac{19600}{x^2}+1 \\\\\frac{19600}{x^2}=1 \\\\19600=x^2 \\\\x=140[/tex]
Jesse bought a car for $25,000. The car
depreciates approximately 10% of its value
each year. What will the car be worth in 5
years?
Answers
Answer:
Approximately $14,760 to the nearest 10 dollars.
Step-by-step explanation:
After each year passes the car is worth 100-10 = 90% of the previous year.
So the equation is
A = 25000(0.90)^t where A is the value of the car and t = the time in years.
So in 5 years:
A = 25000(0.90)^5
= 14762.25
Calculate the area of the composite figure.
20 in.
7 in.
7 in.
Answers
Answer:
115.5 in²
Step-by-step explanation:
7 x 7 = 49
49/2 = 24.5
(20-7) x 7 = 13 x 7 = 91
24.5 + 91 = 115.5
Which equation describes a line with
y-intercept (0,5) that passes through
the point (2, 1)?
Answers
Answer:
Step-by-step explanation:
5x-5=-3+b+(a-1)x
sat math
Answers
Answer:
81
Step-by-step explanation:
Sandi buys some fabric to make a quilt. She needs 1/5 yard of each type of fabric. She has 9 different types of fabrics to make her design. sandi writes the following equation. (Answer: 9)
Answers
Answer:
1/5*9
Step-by-step explanation:
if sandi has 9 different types of fabric she would multiply each amount of equal fabric to get the answer so it would be 1/5*9
A family decided to add a garage onto the side of their house as shown in the picture below. Let x represent the increase in feet of the garage length. The total area can be represented by the expression 20(x + 45). Write the expanded form of this expression to represent the total area of the house and the garage.
Answers
Answer:
75
Step-by-step explanation:
87+79=75
For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?
Answers
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
[tex]k = \frac{12}{8}[/tex]
[tex]k = 1.5[/tex]
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
This gives:
[tex]sin(30) = \frac{a}{8}[/tex]
In the second triangle:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
So:
[tex]sin(30) = \frac{x}{12}[/tex]
By comparison:
[tex]sin(30) = sin(3)[/tex]
Hence:
[tex]\frac{a}{8} = \frac{x}{12}[/tex]