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;
brainly.com/question/28303908
#SPJ2
Related Questions
Y=20 when x=2 find y when x=5
Answers
The image of the point (6, 6) under a translation is (5,2). Find the coordinates of
the image of the point (0, 2) under the same translation.
Answers
9514 1404 393
Answer:
(-1, -2)
Step-by-step explanation:
The difference between the coordinates of the image and the coordinates of the original is the same for both points.
X - (0, 2) = (5, 2) -(6, 6)
X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)
X = (-1, -2)
The image of the point after translation is (-1, -2).
What are the coordinates of point P?
Answers
Answer:
pic??...................
Can someone please work out both problems, I need help with my math hw due in 4 hours
Answers
Answer:
I hope this helps
Step-by-step explanation:
This is not the same exact question but it shows you the throw down.
A+B+C= 180
so if A=60 and B=70
The sin is= 8
so 60+70= 130
130+c=180
130-180= 50
C=50
find slopes , ill mark brainlist
Answers
Answer:
[tex]\frac{3}{2}[/tex] [tex]or[/tex] [tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
We are given a graph and asked to find the slope.
So we can see two coordinate points, one on (0, 3) and (2, 0).
When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.
So count how many times it'll take for x to get to y, base it off the picture below
Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.
Would this be negative though? No, since the graph is in an increase, not a decrease.
Which graph represents the cost of hamburgers at Bulky's Store? Explain
Answers
Answer:
Graph B
Step-by-step explanation:
It seems more realistic i dont think 10 hamburgers would be 3 dollars
pleaseeeeee helppppppppppp
Answers
So
20(2x - 9)=90
40x - 180=90
Then add 180 to itself then to 90
40x=270
X=6.75
Now let’s set the next one up knowing what we know from the previous one.
18(3x + 4)= 12(15)
54x + 72=180
Subtract 72 from it’s self and 180
54x=108
X=2
Divide 4 1/2 by the following unit fractions. 1/8 b. 1/4 c. 1/6
Answers
Answer:
a. 36
b. 18
c. 27
The sum of two numbers is -35. The difference of the two numbers is -29. What are the two numbers?
Answers
Answer:
22 on now
Step-by-step explanation:
11+11
HELP NOW PLEASSEE ! Find the mean absolute deviation
Answers
Find the sum of 4x2 + 3x + 2 and 7x2 + 7x + 3.
Answers
Answer:
27 + 10x
you combine like terms
Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information
Answers
9514 1404 393
Answer:
B. Figure B
Step-by-step explanation:
The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.
The pyramid volume is ...
V = 1/3Bh
V = 1/3(4²)(9) = 48 . . . cubic units
__
The cylinder volume is ...
V = πr²h
V = π(1²)(48) = 48π . . . cubic units
The cylinder has π times as much volume as the pyramid. Figure B is larger.
_____
Additional comment
If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.
What is the point-slope form of a line with slope 3/2 that contains the point
(-1, 2)?
O A. y+2 = (x-1)
O B. y-2 = (x-1)
O C. y-2 = }(x+1)
O D.y+2 = (x+1)
Answers
Answer:
y-2=3/2(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
y-2=3/2(x-(-1))
y-2=3/2(x+1)
A= 5 1/3
L=3 5/9
what is the width of the rectangle
Answers
Answer:
1 1/2
Step-by-step explanation:
5 1/3÷3 5/9=
16/3÷32/9=
16/3×9/32=
144/96=
1 1/2
What are the coordinates of the point on the directed line segment from (-10, -3)
to (-3, -3) that partitions the segment into a ratio of 3 to 4?
Answers
9514 1404 393
Answer:
(-7, -3)
Step-by-step explanation:
The point is the weighted sum of the end point coordinates. The weights are the reverse of the adjacent segment proportions.
P = (4(-10, -3) +3(-3, -3))/7 = (-40-9, -12-9)/7 = (-49, -21)/7
P = (-7, -3)
The point that partitions the segment in the desired fashion is (-7, -3).
_____
Alternate solution
The given segment can be recognized as a horizontal segment of length 7. Then the desired point is 3 units from the first end, so at (-10+3, -3) = (-7, -3).
(ANSWER ASAP) *Still Unanswered* Lines a & b represent a system of linear equations. Line a passes through the points (1,3) and (3,1). Line b passes through the point (-1,0). Which statement must be true? 1, 2, 3, or 4?
1) If line b passes through the point (-2,1) then there are infinitely many solutions to the system of equations because the slopes of the lines are the same.
2) If line b passes through the point (0,1) then there is more than one solution to the system of equations because the lines are perpendicular.
3) If line b passes through the point (1,3) then there are infinitely many solutions to the system of equations because line a also passes through the point (1,3)
4) If line b passes through the point (1,-2) then there is no solution to the system of equations because the lines are parallel.
Answers
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
I think that is right...?
Step-by-step explanation:
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
Step-by-step explanation:
What is true about the domain of the following two graphs
Answers
Answer:
the domain for both graphs is infinity
Step-by-step explanation:
both graphs are absolute value graphs, which means there is an infinite amount of possible x values in positive and negative directions.
edit: actually, if there are no arrows of the ends of the graphs, then what i just said is not true. a possible answer if that's the case may be both graphs have domains that include negatives
i need help with this please
Answers
Answer:
a=40 degree( vertically opposite angle)
a+b+90=180( area of triangle)
or, 40+ b+ 90=180
or,b=180-130
b=50 degree
c+65=180 (st.line)
or, c= 180-65
c= 115 degree
Find the equation of this line
Answers
Answer:
y = x+6
Step-by-step explanation:
You can see that (0,6) and (1,7) are points on the line, and the y-intercept of the line is 6.
Use the coordinates of these points to find the slope of the line.
slope = (7-6)/(1-0) = 1
y-intercept = 6
Slope-intercept equation for line of slope 1 that has y-intercept of 6:
y = x+6
For what value of x is the following expression
sinx
undefined for Os x <211?
1+COS X
Answers
Answer:
ti 5
Step-by-step explanation:
its 5
uppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz): 15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10 On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz? Let LaTeX: \alpha=5\%α = 5 %. What would be the appropriate null and alternative hypothesis?
Answers
Answer:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
reject H0
Step-by-step explanation:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
To compute the test statistic :
We need the sample mean and sample standard deviation :
15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10
Using calculator :
Sample mean, m = 15.887
Standard deviation = 0.13
Test statistic :
(m - μ) / s/sqrt(n)
(15.887 - 16) / 0.13/sqrt(10)
-0.113 / 0.0411096
= - 2.749
Tcritical at 95%
Tn-1, 0.025
T10,0.025 = 2.262
Since the test statistic value is less than the critical value, reject H0
A medium of exchange ?
A.) People are willing to hold onto it because they’re confident that it will keep its value over time.
B.) Money simplifies the exchange process because it’s a mean of indicating how much something costs.
C.) To use money to buy the goods and services you want.
Answers
Answer:
B
Step-by-step explanation:
Can someone help me thank you
Answers
Answer:
a. 1,289,400
b. 800,000
c. 7,000,000
(I hope this helps)
Please help. Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box
Answers
Answer:
[tex]x =13.7[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
The relationship between x, 47 and [tex]17^{\circ}[/tex] is:
[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]
i.e.
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
Solving further:
[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]
Make x the subject
[tex]x = 47 * sin(17^{\circ})[/tex]
[tex]x = 47 * 0.2924[/tex]
[tex]x =13.7428[/tex]
[tex]x =13.7[/tex] --- approximated
How many 1/6 pieces are there in 3/6
Answers
Answer:
there are 3 1/6 pieces
Step-by-step explanation:
since 3 x 1/6=3/6.
another explanation:
(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.
Laura creates a rectangular prism with wooden cubes. Each cube has an edge length of 3/4 inch. she uses a total of 240 cubes. the cubes are stacked 8 cubes high. What are the possible measurements for the length and width of the rectangular prism in inches.
Enter each measurement on a separate line.
Answers
Answer:
Step-by-step explanation:
Oo.24
álgebra II. Help please...
Answers
Answer:
See below
Step-by-step explanation:
The domain of [tex]f[/tex] is non-negative real numbers, and the domain of [tex]g[/tex] is real numbers.
[tex](f\circ g)(x) = 2\sqrt{2}|x|^5[/tex] (I skipped calculation details), so [tex](f\circ g)(9) = 2 \sqrt{2} \cdot 9^5[/tex].
Isabella's Flower Shop sells a variety of flowers. Roses cost $5 each. The shop gives a discount of $1 off per rose if more than 10 are bought. Daisies are sold in bunches of 6 flowers and cost $4 per bunch. • Nala bought 12 roses for her friend's going-away party. • Hector bought his mother 4 bunches of daisies for her birthday. • Petunias cost $2 more per bunch than daisies. Use the axioms to make three conclusions about the flowers Isabella sells.
Answers
Answer:
Isabella earned $48 from Nara. Isabella earned $16 from Hector. Isabella sells petunias for $6 per bunch (the number of petunias per bunch is unclear).
Step-by-step explanation:
Nala bought 12 roses which is greater than 10. So she received a $1 discount for each one. Nara spent 12*4=$48 dollars.
Hector bought 4 bunches of daisies meaning that Hector spent 4*4=$16.
Petunias cost $6 per bucnh.
A baker made nine cupcakes each a different type four people want to share them equally how many cupcakes in each person get?
Answers
Which of the following is a geometric sequence ?
Answers
Answer:
A, C and D is correct I know It