Answer:Yes
Step-by-step explanation:
the normal exponential function is ab^x, where a represent the growth( sometimes you don't need this part), b is average rate of growth and x is the number of times we exponate. [tex]-2^{x}[/tex] is a exponetital function because it includes the b and x part. The a part is someetimes used but not always.
A function is a relationship between inputs where each input is related to exactly one output.
An exponential function is a function in the form
y = [tex]a^{x}[/tex]
Where a = constant and x = variable.
y = [tex](-2)^{x}[/tex] is an exponential function.
Where -2 is a constant and x is a variable.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = [tex](-2)^{x}[/tex]
An exponential function is a function in the form
y = [tex]a^{x}[/tex]
Where a = constant and x = variable.
Example:
y = [tex]3^{x}[/tex]
y = [tex]5^{x}[/tex]
We see that,
y = [tex](-2)^{x}[/tex]
-2 is a constant
x is a variable
Thus,
y = [tex](-2)^{x}[/tex] is an exponential function.
Where -2 is a constant and x is a variable.
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Solve the following systems by Elimination
1) 4x+6y=32
3x-6y=3
2) -3+5y=-11
3x+7y=-1
Answer:
The solutions for both system of equations are as follows:
(5,2)(2,-1)Step-by-step explanation:
The first set of equations is:
[tex]4x+6y=32\\3x-6y=3\\[/tex]
It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations
So adding both equations, we get
[tex]4x+6y+3x-6y = 32+3\\7x = 35\\\frac{7x}{7} = \frac{35}{7}\\x = 5[/tex]
Putting x=5 in equation 1
[tex]4(5)+6y = 32\\20+6y = 32\\6y = 32-20\\6y = 12\\\frac{6y}{6} = \frac{12}{6}\\y = 2[/tex]
The solution is (5,2)
The second set of simultaneous equations is:
[tex]-3x+5y=-113x+7y=-1[/tex]
We can see that the coefficients of x in both equations are same in magnitude with opposite signs so
Adding both equations
[tex]-3x+5y+3x+7y = -11-1\\12y = -12\\\frac{12y}{12} = \frac{-12}{12}\\y = -1[/tex]
Putting y= -1 in first equation
[tex]-3x+5(-1)=-11\\-3x-5=-11\\-3x=-11+5\\-3x=-6\\\frac{-3x}{-3} = \frac{-6}{-3}\\x = 2[/tex]
The solution is: (2,-1)
Hence,
The solutions for both system of equations are as follows:
(5,2)(2,-1)If x = 3 and y = 8 , evaluate the following expression: y − x
Answer:
5
Step-by-step explanation:
y-x
8-5 = 5
The value of the expression y - x is 5.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
y - x
The value of y - x when x = 3 and y = 8.
= y - x
= 8 - 3
= 5
Thus,
The value of the expression is 5.
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Estimate 307% of 29.
Answer:
89.03
Step-by-step explanation:
29x3.07=89.03
-5 + 3d + 6 - 4d. in simplest form
Answer:
1-1d
Step-by-step explanation:
i think that is the answer
Answer:
-1-d
Step-by-step explanation:
In the accompanying diagram, ABC is a straight line. mLABD 8x, and m DBC = x + 27. Find x.
Answer:
The 2 angles are supplementary. This means they have to add up to 180 degrees. The first angle is 8x and the second is x+27. So set both of them equal to 180.
8x + x + 27 = 180
9x = 153
x = 17
Angle 1 = 8(17) = 136
Angle 2 = (17) + 27 = 44
Check: Angle 1 + Angle 2 = 180
136 + 44 = 180
Step-by-step explanation:
please help with thisss
Answer:
11, 17
Step-by-step explanation:
The difference between -7 and -1 is +6, and -1 and 5 is +6 as well. So 5+6 = 11
and 11 + 6 = 17
H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.
Answer:
H in terms of c is H = 5c³.
Step-by-step explanation:
Given that:
H = 40 and c = 2
H varies directly to the cube of c.
Which means that,
H ∝ c³
Let,
k be the proportionality constant.
H = kc³
Putting H=40 and c=2
[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]
Dividing both sides by 8,
[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]
Now,
H in terms of c.
H = 5c³
Hence,
H in terms of c is H = 5c³.
A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a 1;30 scale picture of the actual passenger train.
Answer:
Step-by-step explanation:
-X + 5 = 1
What is the answer for this equation and the steps
Answer:
x=4
Step-by-step explanation:
-x=1-5 (subtract 5 from both sides to isolate the x variable)
-x= -4 (1-5= -4)
x=4 (divide both sides by -1 so the x will not be a negative.)
Therefore, your answer will be x=4. Hope this helps! :)
Answer:
4
Step-by-step explanation:
First, let's move "+5" on the other side. We should change "+" on "-":
-x=1-5
1-5=-4:
-x=-4 |• (-1)
x=4
Please help-
Tell which postulate, if any, make the triangles congruent
Answer:
the answer is SAS
side angle side
Your mother takes you to your grandparents' house for dinner. She drives 60
minutes at a constant speed of 40 miles per hour. She reaches the highway,
quickly speeds up, and drives for another 30 minutes at constant speed of 70
miles per hour. How far did you and your mother travel altogether?
Your answer
Answer:
75 Miles
Step-by-step explanation:
the product of 25/-15 x 9 is
Step-by-step explanation:
25/-15×9
The answer is -15
please help me it's in like 10 minutes..................
Answer:
The annual interest rate is 12.05%
Step-by-step explanation:
Solve the inequality 3x-1 < 2x+5
Answer:
x<6
Step-by-step explanation:
Solve for x
by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
x<6
Please help!!!! Needs to be answered soon!
Answer:
This is NOT a graph :)
Step-by-step explanation:
Please help I don’t know what the answer is
Answer:
its C
Step-by-step explanation:
17.URGENT
Can someone please help me?
Answer:
Answer choice D
Step-by-step explanation:
So we need to get r to the right side. First we can multiply by 3 to get rid of the fraction:
3V=4[tex]\pi[/tex][tex]r^{3}[/tex]
Then we can divide both sides by 4[tex]\pi[/tex] to get r by itself:
[tex]\frac{3V}{4\pi } = r^{3}[/tex]
Then cube both sides:
[tex]\sqrt[3]{\frac{3V}{4\pi } } =r\\[/tex]
Answer choice D
Which row in the table is closest to the actual solution?
Var +3
+2
0
2
2.7321
L79
0.1
20196
02
2.8139
2.0385
03
1.897
20566
0
1.9494
2011
05
2
2.0909
0.6
20194
21071
0.7
2.0976
21208
21379
0.8
21418
21909
21595
1.0
2.2361
2.1667
Answer:
0.8= 2.1448=2.1379
Step-by-step explanation:
Answer:
0.8/2.1448/2.1379
Step-by-step explanation:
I got right(Plato/Edmentum
Help please!!!!!!!! I need help with this ASAP!
9514 1404 393
Answer:
2.89 m
Step-by-step explanation:
The attached shows the figure drawn accurately. It also shows that the angle of the line of sight is 102° -90° = 12° below the horizontal. The sine relation is useful in this situation.
The side opposite the angle in the triangle of interest is the difference in building heights, 5.3 -4.7 = 0.6 m. So, the useful relation is ...
Sin = Opposite/Hypotenuse
sin(12°) = (0.6 m)/(PR)
PR = (0.6 m)/sin(12°) ≈ 2.886 m
PR ≈ 2.89 m
The distance to the subject is about 2.89 meters.
Geometry work pls help
Answer:
true
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
THE FIGURE HAS PARALLEL LINES.
12.
Line ( is parallel to line m. Line 1 is a transversal
with angle measures as indicated below.
(3x + 42)
(5x – 22)
m
Note: The figure is not drawn to scale.
7 Pt
What is the value of x?
A 16
B. 20
C.25
D. 32
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YOU WILL NOT FAIL, YOU SHALL PASS
Answer: w^6/9
Step-by-step explanation:
first, i evaluated the powers.
3^-2 x 1 x 1/w^-6
then, i calculated those products.
3^-2/w^-6
then, i just expressed it with a positive exponent.
w^6/3^2
finally, i evaluated that.
w^6/9
x 0 1 2 3 y 8 1 −6 −13 Is the relationship a linear function? How do you know? A. No; the change in x and the change in y is not constant. B. Yes; the change in x is constant and the change in y is not constant. C. Yes; the change in x is constant and the change in y is constant. D. No; the change in x is not constant and the change in y is constant.
Answer:
The correct option is C) Yes; the change in x is constant and the change in y is constant.
Step-by-step explanation:
Consider the table shown.
x y
0 8
1 1
2 -6
3 -13
Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.
Consider the change in x coordinate.
1-0=1, 2-1=1 and 3-2=1
Now consider the change in y coordinate.
1-8=-7, -6-1=-7 and -13-(-6)=-13+6=-7
Since the change in x and y is constant the given relationship is linear.
Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.
h + 13.4 = -13.4
h = ?
Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10
–15 = a/5
A. a = –3
B. a = –20
C. a = –10
D. a = –75
Answer: a = -75
Step-by-step explanation:
i just multiplied both sides by 5, in order to get "a" by itself.
-75 = a
then, just for kicks, we switch it around so that the variable is in front.
a = -75
Please help me I need the answer now!!
Answer:
an ordered pair
the point where all the lines intersect (which is located by the ordered pair above)
No solutions (in case for example you have parallel lines, so no point there they intersect)
Infinitely Many Solutions (this is when for example you have one single equation, each point of the line is a solution and there are infinite points)
Step-by-step explanation:
basically a "system" means finding a solution that is valid for each equation, like a logical AND
so in this case it means finding a point that lies on each line, and that point can only exists (the intersection of those lines) or not exist (they are parallel)
if the system is made of one single linear equation then you have infinite solutions
what two numbers can multiplied together and get 24 and those same two numbers get added to each other and get -4?
A satellite photographs a path on the surface of the Earth that is 600 miles wide. Find the central angle that intercepts an arc 600 miles on the surface of the Earth (radius 3950 miles).
WILL MARK BRAINLIEST
9514 1404 393
Answer:
The central angle is about 8.7°.
Step-by-step explanation:
The relation between angle and arc length is ...
s = rθ
where r is the radius, and θ is the central angle in radians.
600 = 3950·θ
θ = 600/3950 radians = (12/79)(180°/π)
θ ≈ 8.7°
write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)
Answer:
y = (1/3)x - 4
Step-by-step explanation:
Any line perpendicular to the given equation y = -3x + 4 will have a slope which is the negative reciprocal of -3; that is, +1/3.
Start with the general slope-intercept form y = mx + b.
Insert the coordinates 6 and -2 into y = mx + b: -2 = (1/3)(6) + b, or
-2 = 2 + b. Thus, b = -4, and the desired equation is
y = (1/3)x - 4
