Find the equation of the exponential function represented by the table below:
y=
Answer:
The value of exponential function: y = 0.2(0.5)ˣ
Step-by-step explanation:
We know that the exponential function is of the form
y = abˣ
From the table, it is clear that
when x = 0, y = 0.2
so substitute x = 0, y = 0.2
[tex]0.2\:=\:ab^{0}[/tex]
0.2 = a × 1 ∵ b⁰ = 1
0.2 = a
so, we have a = 0.2
now substitute x = 1 and y = 0.1
y = abˣ
0.1 = 0.2×b¹
0.1 = 0.2×b
b = 0.1/0.2
b = 0.5
now substituting a = 0.2 and b = 0.5
y = abˣ
y = 0.2(0.5)ˣ
Therefore, the value of exponential function: y = 0.2(0.5)ˣ
4x + 3y = -2
8x – 2y = 12
y = -x + 4x2 -5x - 2
Answer:
x = 1
Step-by-step explanation:
x = 1
y intercept = 6
slope = -6
im gonna cry please help
Answer:
Rule 3
Step-by-step explanation:
The values correspond to the equation y=3^x
Match the story with an equation.
Elena has a 8 foot piece of ribbon. She cuts off a piece that is 1/4 of a foot long. She
then cuts the remaining piece into four pieces of equal lengths.
Answer:
P=length of each of the 4 pieces
(8' - 0.25')/4=P
Step-by-step explanation:
P=length of each of the 4 pieces
(8' - 0.25')/4=P
6/4 is the length of the each ribbon piece.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Elena has a 8 foot piece of ribbon.
Elena cuts off a piece that is 1/4 of a foot long.
The ribbon cutt off by Elena is 1/4×8=2
The remaining ribbon is given by 8-2=6
cuts the remaining piece into four pieces of equal lengths.
6/4.
Hence, 6/4 is the length of the each ribbon piece.
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What is the slope of the line shown in the graph? (4 points)
Answer:
a. or [tex]\frac{3}{-2}[/tex]
Step-by-step explanation:
Slope is equal to y1-y2 over x1-x2.
So the equation would be:
[tex]\frac{2-(-1)}{-3-(-1)}[/tex]
2-(-1)=2+1=3
-3-(-1)=-3+1=-2
So the answer is:
[tex]\frac{3}{-2}[/tex]
A cell phone company charges a $36 activation fee and $49 every
month. What is the total cost of the phone after 6 months?
Carla can fill five glasses with every soda 20 seconds complete the table using equivalent ratios
Answer:
5:20
12:48
11:44
Step-by-step explanation:
I just multiplied them by 4
Given m||n, find the value of x.
(8x-27)
(7-4)
Help
Answer:
do you have a picture of it for reference?
Given f(x) = 3x2 + x and g(x) = 2x. What is lim off(x))?
*--4
44
88
104
188
NEED HELP ASAP 30 POINTS
Answer:
88Step-by-step explanation:
Given the functions
f(x) = 3x² + x and g(x) = 2x
We are to find g(f(x))(-4)
First get g(f(x))
g(f(x)) = g(3x²+x)
Substitute x in g(x) with 3x²+x to have:
g(3x²+x) = 2((3x²+x))
g(3x²+x) = 6x² + 2x
Substitute = -4 into the result
g(f(x) (-4)) = 6(-4)² + 2(-4)
g(f(x) (-4)) = 6(16)-8
g(f(x) (-4)) = 96 - 8
g(f(x) (-4)) = 88
Hence the required answer is 88
A certain function h(x) contains the point (8,-2). Find the value of h^-1(-2) . Explain your answer.
Given:
A certain function h(x) contains the point (8,-2).
To find:
The value of [tex]h^{-1}(-2)[/tex].
Solution:
If a function is defined as
[tex]f(x)=\{(a,b):a\in R,b\in R\}[/tex]
Then, its inverse is defined as
[tex]f^{-1}(x)=\{(b,a):a\in R,b\in R\}[/tex]
It is given that, a certain function h(x) contains the point (8,-2). It means, its inverse [tex]h^{-1}(x)[/tex] contains the point (-2,8). So, the value of inverse function is 8 at x=-2, i.e.,
[tex]h^{-1}(-2)=8[/tex]
Therefore, the value of [tex]h^{-1}(-2)[/tex] is 8.
Write the quadratic equation in standard form please
-5x^2-6x=-1+2x
Answer: 5x^2 + 8x - 1 = 0
Step-by-step explanation:
-5x^2 - 6x + 1 - 2x = 0
5x^2 + 6x + 2x - 1 = 0
5x^2 + 8x - 1 = 0
a > 0
HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE
solve -5x+4y=-13 MARKING BRAINLIEST
Answer:
X= 4y+13/5
Y=5x-13/4
Step-by-step explanation:
Who can answer this? .. if u dk it don’t comment thanks ♡︎ .
for valentines day miranda is bringing cards to class. the number of cards she brings in is based on the number of students in her class
c= the number of cards
s= the number of students
which of the variables is independent and which is dependent
Answer:
c dependent on s
Step-by-step explanation:
c is dependent on s and s can be any value
Please give me the correct answer
Answer:
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side. The Pythagorean theorem states;
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where "a" and "b" are the legs, and "c" is the hypotenuse.
It is given that;
b = 15.
c = 17
a = x
[tex]x^2[/tex] + [tex]15^2[/tex] = [tex]17^2[/tex]
[tex]x^2[/tex] + 225 = 289
[tex]x^2[/tex] = 64
x = 8
To find the area of a square, one has to raise one of the sides to the power of two.
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
Pleaseee helpppppp correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
2 now mqrk MEEEE
Step-by-step explanation:
Answer:
ABC is isosceles
Step-by-step explanation:
Find the distance between the points given.
(-3, -6) and (3, 2)
4
V52
10
Answer: The final answer is 10. 10 is the distance between the 2 points given.
Step-by-step explanation:
Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1. What is the length of segment TQ?
Answer:
14 units
Step-by-step explanation:
In the diagram, the length of segment QV is 15 units. What is the length of segment TQ?
Solution:
A triangle is a shape with three sides and three angles. Types of triangles are isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.
Two triangles are said to be congruent if all the corresponding three sides and three angles of one triangle is equal to the corresponding three sides and three angles of the other triangle.
Triangle SRV and triangle RQV are congruent triangles by side angle side congruency (i.e. SR = RQ, RV ≅ RV and ∠SRV = ∠QRV = 90°). Therefore:
SV = QV
4x - 1 = 15
4x = 16
x = 4 units
Triangle SRT and triangle RQT are congruent triangles by side angle side congruency (i.e. SR = RQ, TR ≅ TR and ∠SRT = ∠QRT = 90°). Therefore:
TQ = TS
3x + 2 = TS
TS = 3(4) + 2 = 12 + 2
TS = 14 units
practice: triangle sum theorem on a piece of paper solve for the variable , then find the missing angles
can someone solve 1 2 and 3 for me please
What is the slope of a line perpendicular to 5y + 3x = 15
Answer:
Using the slope-intercept form, the slope is −35 . The equation of a perpendicular line to y=−3x5+3 y = - 3 x 5 + 3 must have a slope that is the negative reciprocal of the original slope.
What are the values of a, b, and c in the matrix addition below?
4
1
-5
-8
0
6
-4 1
1
1
-10
2
2
13
-4
5
-1
a
7
12
+
3
3
3
15-12
3
18 b
3
-8
-9
6
-3
11
-8 C
17
a=-5
b=-9
o
C=-12
a=-14
O b= 15
C=-12
a=-14
b=-9
[tex]a = - 14 \\ c = - 12 \\ b = - 9[/tex]
The solution is, the values of a = -14, b= -9, c = -12.
What is Matrix?Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.
here, we have,
A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.
We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.
and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.
we get,
the addition of the two given matrices is,
[tex]\left[\begin{array}{ccc}-4 &1&1\\-14&7&12\\18&-9&3\\-8&-12&17\end{array}\right][/tex]
Then, the values of a = -14, b= -9, c = -12.
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Help due soon will give brainliest
Answer:
x = 12
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 81 = 15²
x² + 81 = 225 ( subtract 81 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12
Which of these tables represents a linear function?
х
3
4.
5
6
у
3
4
6
7
х
O 01 AW
у
6
5
4.
3
у
х
3
4.
5
6
NO LOCO
X
Answer:
The second one. it's the only one that has a pattern for both sides. for every x value that goes up, the y-values goes down one. that function has a slope of -1
Step-by-step explanation:
I hope this helps :)
4. The population of New Jersey is
9,000,000 and is decreasing by 100,000
people each year. Georgia's population is
4,000,000 people and is increasing by
400,000 a year. How many years from
now will they have the same population?
Answer:
hold
Step-by-step explanation:
Need help asap please!
Answer:
[tex]p + ( - q)[/tex]
Step-by-step explanation:
These properties might benefit you.
[tex]x - y = x + ( - y) \\ x + y = x - ( - y) [/tex]
Negative Multiply Negative must equal Positive.
Positive Multiply Negative equal Negative.
Therefore p-q is equivalent to
[tex]p - q = p + ( - q)[/tex]
graph y=x+4
please help like rn
Answer:
y=4
Step-by-step explanation:
first you have y=mx+b
then b=4
and m=0
so it is
y=0x+4
or y=4
Select all the correct answers.
Which expressions are equivalent to ln e?
A.e In 1
B.1
C.log 10
D.e
E.0
Answer:
Answer is LOG 10 and 1
Step-by-step explanation:
The equivalent expressions to [tex]lne[/tex] are, B. 1 and C.log 10
What is a logarithm?The logarithm is exponentiation's opposite function in mathematics.
This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.
Given, A logarithmic equation [tex]ln_ee[/tex], This in exponential form is, [tex]e^? = e[/tex].
We know, [tex]e^? = e[/tex], e to the what power should be e it should be 1.
Therefore, [tex]ln_ee = 1[/tex].
Similarly, [tex]log_{10}10[/tex] is 10 to the what power is 10 we know 10 to the power 1 is 10.
Therefore, [tex]log10[/tex] is 1.
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Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?
Options :
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer:
Determine whether the equation has the form x = a
Step-by-step explanation:
Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3
-3(x + 1) + 3x = - 3(x - 1) + 3
If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'
Expanding :
-3x - 3 + 3x = - 3x + 3 + 3
-3x + 3x -3 = - 3x + 6
-3 = - 3x + 6
-3 - 6 = - 3x
-9 = - 3x
x = 9/3
x = 3