Evaluate 6 * 2 ^ x for a) x = - 2 and (b) x = 3 . Write your answers in simplest form.
Answers
Answer:
a. [tex]\frac{3}{2}[/tex] b. 48
Step-by-step explanation:
(a) The value of the expression when x = -2 is 1.5.
(b) The value of the expression when x = 3 is 48.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given that the expression is 6(2)ˣ.
To evaluate the expression 6(2)ˣ for different values of x, we simply substitute the value of x into the expression and simplify.
(a) When x = -2, we have:
6(2)⁻² = 6(1/4) = 1.5
So the value of the expression when x = -2 is 1.5.
(b) When x = 3, we have:
6(2)³ = 6(8) = 48
So the value of the expression when x = 3 is 48.
To learn more about the function;
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Related Questions
evaluate the expression for the given value(s) of the variables s=7 k=4 x=6 8 - k+ x
Answers
Answer: 9
Step-by-step explanation:
s = 7
k = 4
x = 6
7 - 4 + 6
3 + 6
9
Use mental math, estimation, and the division algorithm to evaluate the expressions.
What is the answer ?
118.4 divided by 6.4 ?
Answers
Answer:
18.5
Step-by-step explanation:
Solve for a
a² + 7a - 8 = 0
Answers
Answer:
a=-8
Step-by-step explanation:
A paint store sells 4 pints of paint for $19.00. How much is one pint of paint?
Answers
Answer:
4.75
Step-by-step explanation:
19/4 = 4.75
Please help with this question
Answers
65/5 = 13
The answer is $13 per book
Answer:
One book would cost $13.
Step-by-step explanation:
To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.
I hope this helps you.
Elimination method 10x-4y=-8
-5x+6y=10
Answers
-10x+12y=20
Add it to the first equation
10x-4y=-8
-10x+12y=20
——————-
0x+8y=12
y = 1.5
10x-4(1.5)=-8
10x = -2
x = -1/5
What is the total area of this composite figure rounded to the nearest hundredth?
29.57 mm 2
19.14 mm 2
17.57 mm 2
31.14 mm 2
Answers
Answer:
choice #4, total=31.14 mm^2
Step-by-step explanation:
14x2=28 is area of rectangle
1^2xPi=area of small circle
3.14=area of small circle
total=31.14 mm^2
What is the measure (in radians) of central angle 0 in the circle below? Enter an exact expression.
Answers
Answer:
[tex] \frac{\pi^{c} }{3} [/tex]
Step-by-step explanation:
Measure of the length of an arc of a circle is given as:
[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]
A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is
$150 plus $4 per day. The fee for a game booth is $95 plus $10 per day. The fair lasts for d days, and all the
booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the
company is paid.
The expression is
Answers
Answer:
290d + 245
Step-by-step explanation:
Hello! So what you do first is make two equations, then combine them.
For the food booths, the equation would be 15(4d) + 150
For the game booths, the equation would be 23(10d) + 95
Now simplify them.
Food booths: 60d + 150
Game booths: 230d + 95
Next, we combine the two equations to get one equation.
60d + 150 + 230d +95
Simplify even more...
290d + 245
This is going to be your equation. I don't know the number of days the fair went so I can't go any futher on this question. Hope this helps though!
A set of three scores consists of the values 6, 3, and 2.
Σ2(X – 3)
Answers
Answer:
3. Variável Aleatória (v.a.): Uma função X que associa a cada elemento do espaço ... Se o conjunto de valores é qualquer intervalo de ... P (X < 6) = P(X=5) + P(X=4) + P(X=3) + P(X=2).
A circular pool has a radius of 10 feet. What is the area of the pool? Use 3.14 for it. The area of the pool is about ft?
Answers
Answer:
314ft^2
Step-by-step explanation:
The area of a circle is found using this equation:
A=3.14r^2
r = radius
so if we know the radius is 10ft, we can put that into the equation and it will read:
A=3.14(10)^2
^2 means squared, for clarification.
Using PEMDAS we know to do exponents first
A=3.14(100)
Now multiply
A=314
and don't forget to add your units and square!
A=314ft^2
Laura bought y yards of fabric on Saturday. The next day, she went back and bought 3 more yards than she did on Saturday. If each yard of fabric costs $5, write an expression in simplest form for the total amount of money she spent on both days.
Answers
Answer:
(y+3)*5
im pretty sure this is correct
I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?
Answers
Answer:
He will earn $6 in interest in 9 months.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Initial deposit of $400.
This means that [tex]P = 400[/tex]
2% annual interest
This means that [tex]I = 0.02[/tex]
How much interest will he earn in 9 months?
An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]
This is E. So
[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]
He will earn $6 in interest in 9 months.
42 out of 90 is what percentage?
Answers
I hope this helps.
Answer:46.6%
Step-by-step explanation: multiply 42 by 100 than divide that by 90
What is the distance between the points(-2, 1) and (1, 3)? Round answer to the nearest tenth.
Answers
Answer:
.
Step-by-step explanation:
The source or origin of a word is called its?
Answers
Answer:
Etymology
the study of the origin of words and the way in which their meanings have changed throughout history.
Step-by-step explanation:
Find the greatest common factor 27x2y2, 45x2
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
While commuting, a driver sets her smartphone to randomly play songs from a pre-selected list. Of the songs on the list, 6 are rock, 5 are hip-hop, and 3 are country. What is the probability that the first song played is rock?
Answers
Answer: 6/14
Step-by-step explanation: There are 6 rock songs and a total of 6+5+3= 14 songs. So, the probability is 6/14
22 points
Help ASAP Please
Given the equation y = -3x + 1 find the values for y given the value x
If x = 3 then y =
If x = -3 then y =
If x = 4 then y =
If x = -2 then y =
Answers
Answer:
If x = 3 then y = -8
If x = -3 then y = 10
If x = 4 then y = -11
If x = -2 then y = 7
guys i need help on this problem I'm stuck
Answers
Answer:
y=mx+b is slope intercept form
Step-by-step explanation:
letter B :)
m is the slope and b is the y-intercept
7(11p + 3) -9 p equals
Answers
Answer: 68p+21
Step-by-step explanation:
write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)
Answers
9514 1404 393
Answer:
y = 4x -7
Step-by-step explanation:
Rearranging the slope-intercept for equation, we can find the intercept:
y = mx +b
y -mx = b . . . . . subtract mx
We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.
b = 9 -4(4) = -7
The desired equation is ...
y = mx +b
y = 4x -7
Consider the function.
3
f(x) = -X + 12
4
What is the y-intercept of f'(x)?
-16
ООО
- 12
3
4
Answers
Answer:
A. -16
Step-by-step explanation:
Note that [tex]f^{-1}(x)[/tex] stands for the inverse of [tex]f(x)[/tex]. We can write the graph as [tex]y=\frac{3}{4}x+12[/tex]. Switching [tex]y[/tex] with [tex]x[/tex] and vice versa will now get us the inverse of the graph, so we see that the inverse is [tex]x=\frac{3}{4}y+12[/tex].
We are asked for the y-intercept, which is the point for which [tex]x=0[/tex]. Substituting that gives [tex]0=\frac{3}{4}y + 12[/tex] or [tex]\frac{3}{4}y = -12[/tex], so [tex]y=-12\cdot \frac{4}{3} = -16.[/tex] We are now done.
Exercise 4.3. Determine the exact probability of drawing a 10 from a shuffled pinochle deck. (In a pinochle deck, there are 48 cards. There are six values: 9, 10, Jack, Queen, King, Ace. There are two copies of each value in each of the standard four suits: hearts, diamonds, clubs, spades.)
Answers
Answer:
[tex]\frac{1}{6}[/tex] probability of drawing a 10 from a shuffled pinochle deck.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Total of 48 cards.
Of those, there are 2*4 = 8 cards that are 10. So
[tex]p = \frac{8}{48} = \frac{1}{6}[/tex]
[tex]\frac{1}{6}[/tex] probability of drawing a 10 from a shuffled pinochle deck.
I really need help quickly please!!!!
Answers
Answer:The third one is!!
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4
which of the following is the slope of the line that passes through the points (-2,8) and (10,-1)
Answers
8 - - 1 / -2 - 10
9 / -12
= 3/-4
Slope of the line = 3/-4
This cylinder is 7 inches tall and has a volume of 63pi in3. what is the area of the cross section
Answers
Answer:
area of cross section of cylinder is inch²
Step-by-step explanation:
Given : Cylinder is 7 inch tall and has a volume of inches³.
We have to find the area of cross section of cylinder.
Area of cross section of cylinder =
To find the cross section first find radius.
Given Volume of cylinder = inches³
Also , Volume of cylinder =
Thus,
Divide both side by 7, we get,
On simplifying , we get,
Since, radius has to be positive, thus neglecting negative term.
Thus, radius of cylinder = 3 inch
Thus, area of cross section of cylinder =
area of cross section of cylinder =
Thus, area of cross section of cylinder is inch²
Step-by-step explanation:
What is 674.649 rounded to the nearest tenth
Answers
Answer:
674.6
Step-by-step explanation:
If the hundreths place is 4 or less, then you stay the same in the tenths place, if it is 5 or more, you go up 1 in the tenths place
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground. What would be temperature outside plane located at 3 miles above the airport
Answers
Answer:
The outside plane located at 3 miles above the airport is of -3.6 degrees.
Step-by-step explanation:
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground.
This means that the temperature in n miles above ground is given by:
[tex]T(n) = 12 - 5.2n[/tex]
What would be temperature outside plane located at 3 miles above the airport
This is T(3). So
[tex]T(3) = 12 - 5.2*3 = 12 - 15.6 = -3.6[/tex]
The outside plane located at 3 miles above the airport is of -3.6 degrees.
.
Simplify the expression below
4(2x+8y+9)-3x+40
plz help
Answers
Answer:
5x+32y+76
Step-by-step explanation:
First, distribute.
4 x 2x = 8x
4 x 8y = 32y
4 x 9 = 36
Then, combine like terms.
8x - 3x = 5x
36 + 40 = 76
And that leaves 5x+32y+76
= 8x + 32y + 36 - 3x + 40
= 8x - 3x + 32y + 36 + 40
= 5x + 32y + 76
So, in conclusion, the expression: 4(2x + 8y + 9) -3x + 40 simplified is: 5x + 32y + 76.