Now trace the exponential function. How many coordinates (aka ordered pairs) can you find?
Answers
Answer:
Infinite
Step-by-step explanation:
Since a graph is made up of coordinates, we have infinite coordinates when we trace the graph. If you are asking for how many solutions there are, there are only 2 solutions (where the 2 graphs intersect).
Related Questions
Describe how to transform the graph of f(x) = x* to obtain
the graph of the related function g(x) = f(-4(x - 3)) + 1.
Then draw the graph of g(x).
Answers
Answer:
Step-by-step explanation:
Parent function is, f(x) = x²
For x = -4(x - 3),
f[-4(x - 3)] = [-4(x - 3)]²
= 16(x - 3)²
= 16(x - 3)²
g(x) = 16(x - 3)² is the transformed form of the graph f(x).
Here 16 (Coefficient of x²) represents the vertical stretch of the parent function by 16 units.
Followed by a translation of the function by 3 units right.
Table of input and output values of g(x),
x 0 1 2 3 4 5
y -48 -32 -16 0 16 32
Now plot these points on a graph and join them.
Which of the following is an angle subtraction postulate that can be derived from the angle addition postulate m∠QRS + m∠RST = m∠QRT? A) m∠QRT = m∠RST – m∠QRS B) m∠QRS = m∠RST – m∠QRT C) m∠RST = m∠QRT – m∠QRS D) m∠QRS = m∠RST
Answers
Answer: C) m∠RST = m∠QRT – m∠QRS
Step-by-step explanation:
According to the Angle subtraction postulate " If an angle is subtracted from two equal angles, then the differences are equal."Given equation : m∠QRS + m∠RST = m∠QRT
i.e. Combined value of m∠QRS and m∠RST is equal to m∠QRT.
If we subtract m∠QRS from both the sides, then by using Angle subtraction postulate, we will have
m∠QRS + m∠RST - m∠QRS = m∠QRT-m∠QRS
⇒m∠RST = m∠QRT – m∠QRS
That means the correct option is C).
The angle subtraction postulate that can be derived from the angle addition postulate m∠QRS + m∠RST = m∠QRT is: m∠QRT = m∠RST – m∠QRS
This postulate states that if you have the measures of two angles (m∠QRS and m∠RST), and their sum equals the measure of a third angle (m∠QRT),
Then, you can subtract the measure of one angle from the measure of the third angle to find the measure of the other angle.
Thus, the angle subtraction postulate is m∠QRT = m∠RST – m∠QRS.
Learn more about Angle Subtract postulate here:
https://brainly.com/question/29713158
#SPJ6
How could you use cross products to check the solution to this proportion?
12
30
=
5
x
30(5) = (12)(x)
150 = 12x
12.5 = x
Answers
Answer:
The value of x is 12.5.
Step-by-step explanation:
We are given with the following proportion below;
[tex]\dfrac{12}{30}=\dfrac{5}{x}[/tex]
To find the value of [tex]x[/tex], first we have to find the number by which 12 must be divided so that we get 5 as a result.
That number is 2.4, that is if we divide 12 with 2.4 we get the result as 5.
So, [tex]\dfrac{\frac{12}{2.4} }{\frac{30}{2.4} } = \dfrac{5}{x}[/tex]
This means that [tex]x=\frac{30}{2.4}[/tex]
[tex]x=\frac{300}{24} = 12.5[/tex].
So, we get the value of x = 12.5.
Now, to check the solution to this proportion, we use cross multiplication method;
[tex]\dfrac{12}{30}=\dfrac{5}{12.5}[/tex]
[tex]12 \times 12.5 = 5 \times 30[/tex]
150 = 150
Since both sides of the equation are equal, that means our value of x = 12.5 is correct.
Answer:
Substitute 12.5 for x in the original proportions: 12/30 = 5/12.5. Then cross multiply and verify that the two products are equal: 150 - 150.
Find the approximate volume of a cone with radius 10 inches and a vertical height of 24 inches. ANSWERS: 414,565 in3 2,513 in3 6,529 in3 740 in3
Answers
Answer:2,513in3
Step-by-step explanation:
If two zeroes of a polynomial x3+5x2+7x+3 are -1 and-3 then find the third Zero
Answers
Answer:
Third zero is -1.
Step-by-step explanation:
consider the given polynomial is
[tex]P(x)=x^3+5x^2+7x+3[/tex]
It is given that -1 and -3 are two zeroes, therefore (x+1) and (x+3) are two factors of given polynomial.
The given polynomial can be rewritten as
[tex]P(x)=x^3+x^2+4x^2+4x+3x+3[/tex]
[tex]P(x)=x^2(x+1)+4x(x+1)+3(x+1)[/tex]
[tex]P(x)=(x+1)(x^2+4x+3)[/tex]
Now, splitting the middle term, we get
[tex]P(x)=(x+1)(x^2+3x+x+3)[/tex]
[tex]P(x)=(x+1)(x(x+3)+1(x+3))[/tex]
[tex]P(x)=(x+1)(x+1)(x+3)[/tex]
[tex]P(x)=(x+1)^2(x+3)[/tex]
Here, power of (x+1) is 2. It means the multiplicity of zero -1 is 2.
So, three zeroes are -1, -1 and -3.
Therefore the third zero is -1.
Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle B is (2 n + 32) degrees and angle D is (4 n minus 2) degrees. What is the value of n? 3 5 17 25
Answers
Answer:
n=17
Step-by-step explanation:
you have to set the two equations equal to each other because its angles are the same. once you do this, its just simple algebra, trying to solve for n. Hope this helps :)
Answer:
17°
Step-by-step explanation:
∠B=∠D as opposite angles
2n+32°= 4n-2°
2n= 34°
n=17°
what is the direct variation between x and y when x=4 and y=4/5
Answers
Answer:
4/5 = k (4)
Step-by-step explanation:
y=kx
4/5 = k (4)
What is the solution to the system of equations? 2x – y = 7 y = 2x + 3 (2, 3) (2, 7) no solution infinite number of solutions
Answers
Answer:
Option C.
Step-by-step explanation:
Let [tex]a_1x+b_1y+c_1=0[/tex] and [tex]a_2x+b_2y+c_2=0[/tex] are two line.
If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], then system of equations have infinite number of solutions.
If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], then system of equations have no solution.
If [tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex], then system of equations have unique solution.
The given equations are
[tex]2x-y=7[/tex]
[tex]y=2x+3[/tex]
These equations can be rewritten as
[tex]2x-y-7=0[/tex]
[tex]2x-y+3=0[/tex]
Here, [tex]a_1=2,b_1=-1,c_1=-7,a_2=2,b_2=-1,c_2=3[/tex].
[tex]\dfrac{a_1}{a_2}=\dfrac{2}{2}=1[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{-1}{-1}=1[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{3}[/tex]
Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], therefore, the system of equations have no solution.
Hence, option C is correct.
Answer:
ANSWER: C
Step-by-step explanation:
What is the range of g(x ) = 3x - 2, if the domain is { - 1,0, 1,2 }?
answers-
a. {1,2,3,4,5}
b. {-1,2,5,8}
c. {-5,-2,1,4}
d. {-3,0,3,6}
Answers
Answer:
C
Step-by-step explanation:
3(-1) - 2 = -5
3(0) - 2 = -2
3(1) - 2 = 1
3(2) -2 = 4
Simplify the fraction 35/21 in simplest form
Answers
Answer:
5/3
Step-by-step explanation:
35 and 21 could be divided by a factor of 7.
35 ÷ 7 = 5
21 ÷ 7 = 3
So,
35/21 = 5/3
Answer:
5/3
Step-by-step explanation:
35 divided by 7 is 5
21 divided by 7 is 3
Thus 35/21 in simplest form is 5/3
Mr. Harrison grades his test on a scale of 1 to 10. The dot plots below show the grades for his first test and the last test of the year. Pic below What is the difference between the means of the scores for the two tests?
Answers
Answer:
a
Step-by-step explanation:
====================================================
Work Shown:
F = first test data set
F = {1,3,5,5,7,7,7,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10}
m = mean of set F
m = (sum of values in set F)/(number of values in set F)
m = (1+3+5+5+7+7+7+8+8+8+8+9+9+9+9+9+9+9+9+10+10+10+10+10+10)/25
m = 199/25
m = 7.96
----------
L = last test data set
L = {3,4,4,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10}
n = mean of set L
n = (sum of values in set L)/(number of values in set L)
n = (3+4+4+5+5+6+6+6+7+7+7+7+7+7+8+8+8+8+8+9+9+9+9+10+10)/25
n = 177/25
n = 7.08
----------
d = difference in means
d = m - n
d = 7.96 - 7.08
d = 0.88
How many solutions does this system have?
x + 2y – 3z = 4
- 2x – 4y + 62 = -8
3x + 6y - 92 = 12
O There is no solution.
o There are an infinite number of solutions.
O There is one solution.
o There are three solutions.
Answers
Answer:
HMMMMMMMMMMM?
Which function represents g(x), a reflection of f(x) =
(10)^x across the x-axis?
g(x) = -2/5(10)^x
g(x) = -2/5(1/10)^x
g(x) =2/5(1/10)^-x
g(x) = 2/5(10)^-x
Answers
Answer:
Option A.
Step-by-step explanation:
Note: The given function should be [tex]f(x)=\dfrac{2}{5}(10)^x[/tex] instead of [tex]f(x)=(10)^x[/tex].
Consider the given function is
[tex]f(x)=\dfrac{2}{5}(10)^x[/tex]
We need to find the function which represents a reflection of f(x) across the x-axis.
If a function f(x) is reflected across the x-axis, then the new function is
[tex]g(x)=-f(x)[/tex]
Using this rule, we get
[tex]g(x)=-\dfrac{2}{5}(10)^x[/tex] [tex][\because f(x)=\dfrac{2}{5}(10)^x][/tex]
Therefore, the correct option is A.
Find the y-intercept of the rational function.
Answers
Answer:
(0, -2)
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis when x = 0. As shown in the graph, when x = 0, y = -2, so your answer is (0, -2).
Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?
Answers
Answer:
A)
Step-by-step explanation:
In the first image, AC=13, and in the second image, DE=26. so basically, every measurement is simply doubled.
12(2)= 24, DE=24
5(2)=10, EF= 10
Let me know if you need further explanation!
PLEASE HELP GUYS ILL REWARD BRAINLIEST
Answers
Answer:
Step-by-step explanation:
(2,6)
Answer:
The solution of the two equations is where both lines intersect
From the graph they intersect at point
(6,2)
So the solution is x = 6 y = 2
Hope this helps you
Question 19 (4 points)
Saved
2(x + 1) + 2(x - 2) = 3(x-3) + 4
Answers
Answer:
x=-3solution,
[tex]2(x + 1) + 2(x - 2) = 3(x - 3) + 4 \\ or \: 2x + 2 + 2x - 4 = 3x - 9 + 4 \\ or \: 2x + 2x + 2 - 4 = 3x - 5 \\ or \: 4x - 2 = 3x - 5 \\ or \: 4x - 3x = - 5 + 2 \\ x = - 3[/tex]
Hope this helps...
good luck on your assignment.
Answer:
x = - 3
Step-by-step explanation:
2(x + 1) + 2(x - 2) = 3(x-3) + 4
2x + 2 + 2x - 4 = 3x - 9 + 4
2x + 2x - 3x = - 9 + 4 - 2 + 4
4x - 3x = - 3
x = - 3
Round 65.65 to the nearest whole number
Answers
Answer:
66
Step-by-step explanation:
We know that whole number means the digits before the decimal point, meaning we have to take a look at .65 since that is after the decimal point.
So
We take a look at .6, since that is the number directly after the decimal point.
If the digit is 5 and up we round up, if the digit is 4 and down we round down
."6" is our digit meaning we round up
So we take 65 and round up to 66, making the number a whole number with no decimals after it
Find the equation of the line with points (3,3) in y=mx+b where it is perpendicular to equation 5x+5-4y=0
Answers
Answer:
y = -[tex]\frac{4}{5}[/tex] x + [tex]\frac{27}{5}[/tex] or
5y = -4x + 27
Step-by-step explanation:
To find the equation of a line with points (3,3) and is perpendicular to 5x+5-4y=0
we will follow the steps below:
First find write the equation: 5x+5-4y=0 in standard form y= mx + c and find the slope
5x+5-4y=0
4y = 5x + 5
divide through by 4
4y /4= 5x/4 + 5/4
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{5}{4}[/tex]
comparing the above with y = mx + c
m= [tex]\frac{5}{4}[/tex]
since the equations are perpendicular.
To find the new slope
[tex]m_{1}[/tex][tex]m_{2}[/tex] = -1
[tex]\frac{5}{4}[/tex] [tex]m_{2}[/tex] = -1
multiply both-side of the equation by [tex]\frac{4}{5}[/tex]
[tex]\frac{4}{5}[/tex]× [tex]\frac{5}{4}[/tex] [tex]m_{2}[/tex] = -1 × [tex]\frac{4}{5}[/tex]
[tex]m_{2}[/tex] = -[tex]\frac{4}{5}[/tex]
The slope of our new equation is -[tex]\frac{4}{5}[/tex]
The points are (3,3)
We can now go ahead and form our new equation
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex])
y - 3 = -[tex]\frac{4}{5}[/tex] ( x - 3)
y - 3 = -[tex]\frac{4}{5}[/tex] x + [tex]\frac{12}{5}[/tex]
y = -[tex]\frac{4}{5}[/tex] x + 3 + [tex]\frac{12}{5}[/tex]
y = -[tex]\frac{4}{5}[/tex] x + [tex]\frac{27}{5}[/tex]
5y = -4x + 27
Two thousand students took an exam. The scores on the exam have an approximate normal distribution with a mean of μ=81 points and a standard deviation of σ=5 points. The middle 50% of the exam scores are between what two values? Use a TI-83, TI-83 plus, or TI-84 calculator, and round your answers to the nearest integer.
Answers
Answer:
78 and 84
Step-by-step explanation:
Create a table of values for the function f(x) = (1/3)^–x
Answers
Answer:
See the explanation
Step-by-step explanation:
The function given to us is:
f(x) = (1/3)⁻ˣ
We can convert the negative power into positive one by interchanging the numerator and denominator.
f(x) = (3/1)ˣ
f(x) = 3ˣ
Substitute value for x= -3 , -2, -1, 0, 1, 2, 3
f(-3) = 3⁻³ = 0.037
f(-2) = 3⁻² = 0.111
f(-1) = 3⁻¹ = 0.333
f(0) = 3⁰ = 1
f(1) = 3¹ = 3
f(2) = 3² = 9
f(3) = 3³ = 27
f(4) = 3⁴ = 81
and so on
The table of the found values of f(x) or y for the corresponding values of x, along with their graph is given below.
A shoe store marks up the wholesale cost of all shoes they sell by 20%. Calvin wants to buy a pair of shoes that has a price tag of $145. What was the wholesale cost of the shoes?
Answers
The sell price is the wholesale price plus 20%
Divide the sell price by 1.2 ( 100% + 20%)
145 / 1.2 = 120.83
The wholesale price is $120.83
Answer:
The wholesale price is $120.83
Which equation has no solution?
O |-x-3| = 5
O |2x – 1| = 0
O |5 - 3x| = -8
O |-x + 9| = 0
Answers
Answer:
the 3rd one o 5-3x=-8 that one is the answer
A washer and a dryer cost $708 combined. The washer costs $58 more than the dryer. What is the cost of the dryer?
Answers
Answer:
$325
Step-by-step explanation:
Let x be the price of the washer.
Let y be the price of the dryer.
x + y = 708
x = y + 58
Put x as y+58 in the first equation and solve for y.
y + 58 + y = 708
2y + 58 = 708
2y = 650
y = 650/2
y = 325
Put y as 325 in the second equation and solve for x.
x = 325 + 58
x = 383
The cost of the washer is $383.
The cost of the dryer is $325.
Answer:
Step-by-step explanation:
Cost of dryer = $ d
Cost of washer = d + 58
Total cost = $ 708
d + (d + 58) = 708
2d + 58 = 708
2d = 708 - 58
2d = 650
d = 650/2
d = 325
Cost of washer = 325 + 58 = $ 383
Cost of dryer = $ 325
Arrange the following numbers in increasing order: \begin{align*} A &= \frac{2^{1/2}}{4^{1/6}}\\ B &= \sqrt[12]{128}\vphantom{dfrac{2}{2}}\\ C &= \left( \frac{1}{8^{1/5}} \right)^2\\ D &= \sqrt{\frac{4^{-1}}{2^{-1} \cdot 8^{-1}}}\\ E &= \sqrt[3]{2^{1/2} \cdot 4^{-1/4}}.\vphantom{dfrac{2}{2}} \end{align*}Enter the letters, separated by commas. For example, if you think that $D < A < E < C < B$, then enter "D,A,E,C,B", without the quotation marks.
Answers
Answer:
The order is "D, B, A, E, C".
Step-by-step explanation:
The numbers are as follows:
[tex]A=\frac{2^{1/2}}{4^{1/6}}\\\\B = \sqrt[12]{128}\\\\C=(\frac{1}{8^{1/5}})^{2}\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}[/tex]
Simplify the value of A, B, C, D and E as follows:
[tex]A=\frac{2^{1/2}}{4^{1/6}}=\frac{2^{1/2}}{2^{2/6}}=\frac{2^{1/2}}{2^{1/3}}=2^{1/2-1/3}=2^{1/6}=1.1225\\\\B = \sqrt[12]{128}=(128)^{1/12}=(2^{7})^{1/12}=2^{7/12}=1.4983\\\\C=(\frac{1}{8^{1/5}})^{2}=(\frac{1}{(2^{3})^{1/5}})^{2}=(\frac{1}{2^{3/5}})^{2}=\frac{1}{2^{3/5\times2}}=\frac{1}{2^{6/5}}=2^{-6/5}=0.4353\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}=\sqrt{\frac{2^{-2}}{2^{-1}\cdot 2^{-3}}}=\sqrt{2^{-2+1+3}}=2\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}= (2^{1/2})^{1/3}\cdot 2^{-2/4}=2^{-1/3}=0.7937[/tex]
Arrange the following numbers in increasing order as follows:
D > B > A > E > C
Thus, the order is "D, B, A, E, C".
Answer:
C, E, A, B, D
Step-by-step explanation:
I had this question and this was the correct answer
A-29
B-81
C-87
D-93
Please someone help I don’t get this
Answers
Answer:
B-29...b-29...b-29...B-29... B-29
algebra please help rewrite the polynomial in the form ax+by+c and then identify the values of a, B, and C x-1-2y
Answers
Answer:
x-2y-1; a = 1, b = -2, c = -1
Step-by-step explanation:
To rewrite it into the specified form, all you have to do is just shift the variables.
To find the coefficients, just look at the number that is stuck to the variable, if there is none, then the coefficient is just one.
which point is at 7.4689 on the number line
Answers
Please add a picture of the number line.
Answer:
It is about halfway between 7 and 8
Step-by-step explanation:
Twice the sum of two numbers is 72 if one number is 20 then the other number is_______
Answers
Answer:
16
Step-by-step explanation:
If you add 16 to 20 then you get 36. twice of 36 is 72
Find the enthalpy change per mole of sodium when sodium reacts with water 8 grams of sodium reacts with 227 cm of water, producing a temperature change from 298
Kto 308.4 K The specific heat capacity of water is 4.18 J/K 9.
Answers
Answer:
The enthalpy change per mole of sodium when sodium reacts with water is 28.36 kJ
Step-by-step explanation:
The given parameters are;
Mass of sodium = 8 grams = 0.008 kg
Volume of water = 227 cm³ = 0.000227 m³
Initial water temperature, T₁ = 298 K
Final water temperature, T₂ = 308.4 K
Specific heat capacity of water = 4.18 J/(K·g)
Density of water = 1000 kg/m³
Mass of water = 1000×0.000227 = 0.227 kg = 227 g
Heat change, ΔH = m×c×ΔT = m×c×(T₂ - T₁)
ΔH = 227*4.18*(308.4 - 298) = 9868.144 J = 9.868 kJ
Molar mass of sodium = 22.989769 g/mol
Therefore, 8 grams contains;
8/22.989769 = 0.348 moles of Na
Which gives the enthalpy change per 0.348 moles of Na when sodium reacts with water = 9.868 kJ
Therefore, when one mole of Na reacts with water we have;
The enthalpy change per 0.348/0.348 = 1 mole of Na when sodium reacts with water = 9.868 kJ/0.348 = 28,358.3 J = 28.36 kJ.
