The required equation of g(x) for reflection of f(x)=x-2 across the y-axis is g(x)=-x-2.
What is reflection?Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.
Given that,
f(x)=x-2
To find the required equation for g(x) that is reflected across the y-axis, Use reflection property,
According to reflection property,
Reflection Across the y-axis, the x change in -x and the remaining part of the equation remains same.
The equation of f(x) changes in g(x) as g(x)=-x-2,
So, the equation of g(x)=-x-2 .
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Which table represents a function?
Answer:
C (the one which starts with x = -2 and y = -1)
Step-by-step explanation:
because for every x value there is only an y value
30 POINTS AND WILL GIVE BRAINLIEST
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 41 minutes of calls is $19.26, and the remaining credit after 57 minutes of calls is $17.02. What is the remaining credit after 71 minutes of calls?
I really need help with the steps for this, thank you!!
Answer: The correct answer is $15.06 is remaining after 71 minutes
Step-by-step explanation:
What we need to find out:
The remaining credit after 71 minutes.What we know:
The remaining credit after 41 minutes of calls is $19.26The remaining credit after 57 minutes of calls is $17.02If we convert the minutes (m) and remaining credits (c) to (x,y) data sets, they would look like the following:
x y
41 19.26 (41, 19.26)
57 17.02 (57, 17.02)
Plugging the x, y values into a linear equation, we get:
y - 19.26 = (17.02 - 19.26) / (57 - 41) * (x-41)
Solve the equation for y by adding 19.26 to both sides:
y − 19.26 + 19.26 = −0.14x + 5.74 + 19.26
y = −0.14x + 25
Resulting standard slope-intercept format:
y = −0.14x + 25
Now plug in 71 for the x value (minutes):
y = (-0.14*71) + 25
y = 15.06
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PLEASE HELP ME !!!
x² + 12x -
2
8 can be written in the form
(x + a)² + b, where a and b are numbers.
Work out the values of a and b.
Answer:
a = 6 , b = - 44
Step-by-step explanation:
x² + 12x - 8
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² from x² + 12x
x² + 2(6)x + 36 - 36 - 8
= (x + 6)² - 44 ← in the form (x + a)² + b
with a = 6 and b = - 44
HELP WITH GEOMETRY PLEASE
It is angles please due in 12 minutes
The measure of angle ∠U = 73.5° in triangle UVW.
What is a triangle?A polygon having three vertices and three sides are called a triangle.
Triangles are closed, two-dimensional shapes with three sides, three angles, and three vertices. A triangle is a part of a polygon. In the picture above, Triangle ABC is visible. examples of triangles. Many commonplace items, including sandwiches, traffic signs, clothing hangers, and pool table racks, have triangles.
The line segment VW ≅ UV. That implies ∠U = ∠W.
Given that a triangle's angle measurements add up to 180,
∠U + ∠W + ∠V = 180°
∠U + ∠U + 159° = 180°
2 ∠U = 21°
∠U = 10.5°
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What is the equation of this graphed line?
Answer:
y = 2x +2
Step-by-step explanation:
You want the equation of the line through points (-4, -6) and (2, 6).
SlopeThe slope of the line is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (6 -(-6))/(2 -(-4)) = 12/6 = 2
Point-slope equationThe point-slope equation of a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Using the point (2, 6) and the found value of slope, an equation for the line can be written:
y -6 = 2(x -2) . . . . point-slope equation for the line
Slope-intercept equationSolving this equation for y and simplifying, we get the slope-intercept equation of the line.
y = 2x -4 +6 . . . . . eliminate parentheses, add 6
y = 2x +2 . . . . . . . . simplify; slope-intercept equation
Brett tallies up the transactions in his check register and comes up with a total balance of $248.53, but his bank statement says that his balance is $257.72. Which of the following are still outstanding?
I. A $44.09 check to the electronics store
II. A $73.98 check to the mechanic
III. A $49.96 paycheck deposit
IV. A $64.79 check deposit from Brett’s cousin
What is the slope of the line shown?
A. slope = 2
B. slope = 1/2
C. slope = -1
D. slope = 1
Answer:
I think b 1/3
Step-by-step explanation:
slope is rise over run
Answer:
1/2
Step-by-step explanation:
find 2 clear points A(2,0) B(8,3)
use the formula of the angular coefficient
[tex]c = \frac{y2 - y1}{x2 - x1} [/tex]
What should be added to 5/6 to get 41/24
Answer: 26/24
Step-by-step explanation:
First we have to convert 5/6 with a denominator of 24 so 6 times what makes 24, that is 4 & whatever you do with the denominator, you have to do it with the numerator. So 5 times 4 is 20, the new fraction is 20/24. Now, we need to find what we need to add with 20/24 to get 41/24, so we subtract 20/24 from 41/24 & that is 21/24. We can check if it's correct by adding both 21/24 and 20/24 & that makes 41/24.
Complete the chart to show similarities and differences between multiplying by 0.1, 0.01, 10, 100. Tell how many places the decimal point appears to move and in which direction when you multiply by each
Answer:
they all are being multiplied by 10
Step-by-step explanation:
0.01 x 10 = 0.1
0.1 x 10 = 1
1 x 10 = 10
10 x 10 = 100
→
A spinner is spun 800 times.
The probabilities it lands on each colour
are shown below.
The probability it lands on red is the same
as the probability it lands on yellow.
Colour Red Green Brown Yellow
Probability. 0.3. 0.54
How many times would you expect it to
land on each colour?
Red: 0
Brown: Yellow:
O
Green:
0
Answer:
green 45 times or 40 a note
a.) find the test statistic
b.) what is the p-value
c.)what is the conclusion about the null hypothesis
d.) what is the final conclusion?
a) The test statistic is: t = -1.11.
b) The p-value is: 0.1342.
c) The conclusion is that the null hypothesis is not rejected.
d) The final conclusion is that there is not sufficient evidence to conclude that the population mean is of 6.
What is the test statistic?The standard deviation for the population is unknown, only the sample standard deviation is known, hence the t-distribution is obtain the test statistic.
The test statistic is given by the equation presented as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which the variables of the equation are given as follows:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.For this problem, the values of these parameters are as follows:
[tex]\overline{x} = 5.83, \mu = 6, s = 2.11, n = 189[/tex]
Hence the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{5.83 - 6}{\frac{2.11}{\sqrt{189}}}[/tex]
t = -1.11.
P-value and conclusionThe p-value is obtained using a t-distribution calculator, with a left-tailed test, as we are testing if the mean is less a value, with 189 - 1 = 188 df and t = -1.11, hence it is of 0.1342.
Since the p-value is greater than the significance level of 0.10, it is found that:
The null hypothesis is not rejected.There is not sufficient evidence to conclude that the population mean rating is less than 6.More can be learned about the test of an hypothesis at https://brainly.com/question/13873630
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Kalia’s parents give her simple interest on any money she saves for college. Which equation and solution represents the total interest, T, earned when the principal amount is $100, the annual simple interest rate is 1%, and the number of years is 10?
T = 100 • (10 + 0.1); $1,010
T = 100 • (10 + 0.01); $1,001
T = 100 • 0.1 • 10; $100
T = 100 • 0.01 • 10; $10
The equation and solution representing the total interest, T, earned by Kalia when the principal amount is $100, the annual simple interest rate is 1%, and the number of years is 10, is D. T = 100 • 0.01 • 10; $10.
What is the simple interest?Simple interest is interest that does not compound.
Simple interest does not accumulate interest, unlike compound interest, which is added to the principal for subsequent interest.
Principal = $100
Simple interest rate = 1%
Period of savings = 10 years
The simple interest in dollars = T
T = 100 x 0.01 x 10
T = $10
Thus, Option D correctly represents the total interest earned by Kalia.
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-1/2u+3/5=1/6 What is u?
_____________________
[tex]\huge\blue{\mid{\fbox{\tt{Answer}}\mid}}[/tex]
[tex]u=\frac{13}{15}[/tex][tex]\huge\blue{\mid{\fbox{\tt{Explanation}}\mid}}[/tex]
DefinitionsMultiplication - Multiplication, otherwise known as the inverse of division repeats a certain number's value into what it has been multiplied by. Ex. [tex]4\cdot4=16[/tex]
Fraction - A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, or three-quarters.
Algebra - Algebra is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all mathematics
Reciprocal - In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by [tex]\frac{1}x[/tex] or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction [tex]\frac{a}b[/tex] is [tex]\frac{b}a[/tex]. For the multiplicative inverse of a real number, divide 1 by the number.
_____________________
Now we can solve this equationStep one - Subtract: [tex]-\frac{1}{2} u=\frac{1}{6}-\frac{3}{5}[/tex]Step two - Simplify: [tex]-\frac{1}{2} u=-\frac{13}{30}[/tex]Step three - Multiply by the reciprocal of [tex]-\frac{1}2[/tex]: [tex]-\frac{1}{2}u\cdot -\frac{2}{1}=-\frac{13}{30}\cdot -\frac{2}{1}[/tex]Step four- Simplify: [tex]u=\frac{13}{15}[/tex]Your answer is [tex]u=\frac{13}{15}[/tex]A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?
f(x) = 1500(1.15)x
f(x) = 1500(115)x
f(x) = 1500(2.15)x
f(x) = 1500(215)x
A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?
f(x) = 1500(1.15)x
f(x) = 1500(115)x
f(x) = 1500(2.15)x
f(x) = 1500(215)x
Answer:
A
Step-by-step explanation:
Jacob held different part-time jobs during his summer holiday. The table below shows the total money he earned for different amounts of time, in hours.
What type of association will the scatter plot for this data represent between the number of hours worked and the total money earned?
1. A positive nonlinear association
2. A positive linear association
3. A negative nonlinear association
4. A negative linear association
Given the table on the total money earned, the type of association the scatter plot would represent is 2. A positive linear association
What is a positive linear association?When two variables are said to have a positive linear association, it means that they move in the same direction together. When one of them increases, the other increases as well. It also means that they are increasing by a uniform amount. For instance, when one variable increases by 3, the other increases by 6, always.
The hours worked here are increasing as well as the money earned by Jacob. The hours worked is increasing by 1, and the money earned is increasing by 4. This is therefore a positive linear association.
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PLS ANSWER THIS QUESTION
FAST
WILL MARK BRAINLIEST
Angle x= 45
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to the question-
N + M = 90X + X= 902X=90X=45Hence, Angle x= 45
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A study conducted by the Institute of Education Sciences from 1992 to 2003 found that about 22% of adult Americans had low levels of literacy and were “not able to locate information in text,” could not “make low-level inferences using printed materials” and were unable to “integrate easily identifiable pieces of information.” If a simple random sample of 50 adult Americans is collected, what is the probability that more than one-fourth of them will have low levels of literacy as described above?
The probability that more than one-fourth of them will have low levels of literacy as described above is 0.3043.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given: A study conducted by the Institute of Education Sciences from 1992 to 2003 found that about 22% of adult Americans had low levels of literacy and were “not able to locate information in text,” could not “make low-level inferences using printed materials” and were unable to “integrate easily identifiable pieces of information.”
A simple random sample of 50 adult Americans is collected.
n(p) = 50(0.22)
n(1 - p) = 50(1 - 0.22)
The CLT would hold here.
n = 50
p = 0.22
p cap = 0.25
The test statistic, z = (p cap - p) / (√p (1 - p) / n)
z = (0.25 - 0.22)/(√0.22(1-0.22)/50)
z = 0.51
The p-value is 0.3043.
Hence, The probability that more than one-fourth of them will have low levels of literacy as described above is 0.3043.
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4y-5x=3(4x-2y+1) in standard form
Answer:
7x+10y=3
Step-by-step explanation:
Standard Form= Ax+By=c
Distribute first
4y-5x=12x-6y+3
Add 6y
10y-5x=12x+3
Add 12x
7x+10y=3
PLEASE TRY AND HELP IF U WANT TO
Please help: Which numbers are in order from least to greatest?
A.
0.561, 8.627, 5.325
B.
4.057, 4.122, 5.008
C.
1.742, 1.558, 1.671
D.
6.705, 6.527, 6.211
Please i need help urgently thanks
Answer:
Step-by-step explanation:
rate of change
[tex]=\frac{f(b)-f(a)}{b-a} \\=\frac{f(9)-f(1)}{9-1} \\=\frac{28-20}{8} \\=\frac{8}{8} \\=1[/tex]
Can you help me with this problems, thank you.
The probability that student will pass the test is 2/7.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.So, the probability that the student will pass the test:
The total number of questions are 50 and 25 questions need to be correct to pass the test.Out of 25, 15 are correct.Out of the remaining 35 questions, 10 questions need to be right to pass the best.Probability Formula: P(E) = Favourable events/Total events
Now, calculate as follows:
P(E) = Favourable events/Total eventsP(E) =10/35P(E) = 2/7Therefore, the probability that student will pass the test is 2/7.
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A bank found that 2.5% of its loans to new small businesses become delinquent. If 400 small businesses are selected randomly from the bank’s files, what is the probability that at least 12 of them are delinquent? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
.3155
The probability that at least 12 are delinquent is given as 0.3155
How to solve for the probabilityProbability can be defined as the likelihood of getting an outcome out of other outcomes.
We have the mean u = np
where n = 400
p = proportion = 2.5% = 0.025
= 400 x 0.025
= 10
we have to find the population standard deviation
= [tex]\sqrt{np(1-p)}[/tex]
= √400 x 0.025 (1 - 0.025)
= 3.1225
P (X ≥ 12)
= P(X ≥ 11.5)
= 11.5 - 10 / 3.1225
= 1 - P(z < 0.4804)
= 1 - 0.6845
= 0.3155
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If 3/5 of a number is 150, what is the number
let the number be = x
step by step explanation:[tex] = > \frac{3x}{5} = 150[/tex]
Cross multiply:[tex] = > 3x = 150 \times 5[/tex]
[tex] = > 3x = 750[/tex]
Divide both side by 3[tex] = > \frac{3x}{3} = \frac{750}{3} [/tex]
[tex] = > x = 250[/tex]
The number can be found by multiplying 150 by 5 and then dividing the result by 3. Therefore, the number is 250 by solving equations.
To find the number, we can set up the equation: (3/5) * x = 150. To isolate x, we multiply both sides of the equation by 5/3, resulting in x = 250. This means that the number is 250.
Start with the equation: (3/5) * x = 150.
To isolate x, multiply both sides of the equation by the reciprocal of (3/5), which is 5/3. This yields (5/3) * (3/5) * x = (5/3) * 150.
Simplify the left side of the equation: x = (5/3) * 150.
Multiply 5 by 150 and divide the result by 3: x = (750/3).
Simplify the fraction by dividing the numerator (750) by the denominator (3): x = 250.
Therefore, the number is 250.
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What is the slope of the line passing through the points (2, 4) and (5, 6)?
A. 6/11
B. -2/3
C. 7/10
D.2/3
Answer:
D, 2/3
Step-by-step explanation:
Using the Slope formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find the slope of the line.
Input values:
[tex]m=\frac{6-4}{5-2}=\frac{2}{3}[/tex]
[tex]m=\frac{2}{3}[/tex]
What is the x-intercept of the line with the equation 7x+4y=-28?
If f(x) = 2x + 1, find f(1). Just write the answer no equals or variable!!!
Answer:
3
Step-by-step explanation:
f(1)=2(1)+1
f(1)=3
Translate the sentence into an equation.
The square of a number is equal to the square root of that number.
The equation of the sentence, the square of a number is equal to the square root of that number, is [tex]x^{2} =\sqrt{x}[/tex].
According to the question,
We have the following information:
The square of a number is equal to the square root of that number.
Now, let's take this number to be x.
Now, square of this number will be [tex]x^{2}[/tex] and the square root of this number will be [tex]\sqrt{x}[/tex].
Now, according to the sentence, we will have the following expression:
[tex]x^{2} =\sqrt{x}[/tex]
Hence, the equation of the sentence, the square of a number is equal to the square root of that number, is [tex]x^{2} =\sqrt{x}[/tex].
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Write three quadratic equations that are NOT equivalent, each forming a graph with vertex
(−2,3).
Please explain it
When red is the first one , blue the second and green the third one (and as you can see, all of them share the vertex (-2, 3)).
The vertex of a quadratic equation:
a[tex]x^{2}[/tex]+bx + c = y
is located at :
x = -b/2a.
In this case, x = -2
Then,
-b/2a = -2
And we also have that:
a[tex](-2)^2[/tex] -2b + c = 3
Then we have two equations:
-b/2a = -2
a[tex](-2)^2[/tex] -2b + c = 3
We have only equations and 3 variables, So we can just give the variable c different values and we will find different quadratic equations that are not equivalent.
Let's begin with c = 0 ,Our equations are:
-b/2a = -2
a[tex](-2)^2[/tex] -2b + 0 = 3
In the first equation we can isolate b and get :
b = 4a
Now we can replace this in the other equation and solve this for a.
4a + 4a x -2 = 3
-4a = 3
a = -3/4
then:
b = 4a = 4 x -3/4 = -3
The first quadratic equation is:
(-3/4)[tex]x^{2}[/tex] - 3x = y
Now, To find the second let's use a different value of c.
c = 1
b = 4a
a[tex](-2)^2[/tex] -2b + 1 = 3
Let's solve in the same way as before:
4a + 4a x -2 + 1= 3
-4a = 2
a = 2/-4 = 1/-2
b = 4 x -1/2 = -2
Then our equation is :
(-1/2)[tex]x^{2}[/tex] -2x + 1 = y
For the last equation, let's use c = 2
then our equation are:
b = 4a
a(-2)^2 - 2b +2 = 3
Same as before, replace the first equation in the second
4a + 4a x-2 +2 = 3
-4a +2 = 3
-4a = 1
a = -1/4
Then:
b = 4 x (-1/4) = -1
Our third equation is :
(-1/4)x^2 - x + 2 = y
Now, Below you can see all of them graphed.
When red is the first one , blue the second and green the third one (and as you can see, all of them share the vertex (-2, 3)).
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Josh loves to visit his aunt's house. When there, his two favorite activities are walking the dog and playing darts. Let A represent the event that he walks his dog at his aunt's house and B represent the event that he plays darts at his aunt's house. If A and B are independent events with P(A)=0.9 and P(B)=0.4, find P(A AND B).
The probability of P(A AND B) when Josh visit his aunt's house is 0.36.
What is probability?Probability is the likelihood that an event will occur or take place.
Let A = the event that he walks his dog at his aunt's house
Let B = the event that he plays darts at his aunt's house.
When A and B are independent events with P(A)=0.9 and P(B)=0.4, the probability of P(A AND B) will be:
= P(A) × P(B)
= 0.9 × 0.4
= 0.36
The probability is 0.36.
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