Answer:
0.02, 0.113, 0.2 0.38 0.4
Step-by-step explanation:
y=x^2+20
determine if symmetric on the..
x axysis
y axysis
both
The graph of the equation defined by; y = f(x) = x² + 20 as represented in the task content is symmetrical about the y-axis.
To which axis is the graph of the equation given symmetrical about?It follows from the task content that the axis about which the given graph is symmetrical be determined as follows.
Since it follows that for a function to be symmetric about the y-axis;
f(-x) = f(x).
Therefore, we have;
f(-x) = (-x)² + 20.
f(-x) = x² + 20 = f(x).
Hence, the graph is symmetrical about the y-axis.
Also; Since; f(-x) = x² + 20 ≠ - f(x).
It follows that the graph is not symmetrical about the origin and hence, the graph is only symmetrical about the y-axis.
Read more on symmetry of graphs;
https://brainly.com/question/15164314
#SPJ1
What is the area of the parallelogram shown
You calculate for the triangle and the other part separately,
|5-2x|+1≤10 absolute value equations or inequalities and graph the solution set on the number line
The given inequality is
[tex]|5-2x|+1\leq10[/tex]First, we subtract 1 on each side
[tex]\begin{gathered} |5-2x|+1-1\leq10-1 \\ |5-2x|\leq9 \end{gathered}[/tex]Now we use the property of inequalities with absolute values, which states
[tex]|x|\leq a\rightarrow-a\leq x\leq a[/tex]Using this property, we have
[tex]|5-2x|\leq9\rightarrow-9\leq5-2x\leq9[/tex]We solve the compound inequality now
[tex]\begin{gathered} -9\leq5-2x\leq9 \\ -9-5\leq-2x\leq9-5 \\ -14\leq-2x\leq4 \\ \frac{-14}{-2}\ge\frac{-2x}{-2}\ge\frac{4}{-2} \\ 7\ge x\ge-2 \\ -2\leq x\leq7 \end{gathered}[/tex]Therefore, the solution is the interval [-2,7], and the graph of it would be
4^5 x 4^3 x 4^2 x 4^3 / 4^2 x 4 x 4^2
Answer: 268435456
Step-by-step explanation:
please mark brainliest if this helped :)
Answer:
Use order of operations,
1. 4^5 = 1024
2. 4^3 = 64
3. 4^2 = 16
4. 1024 * 64 = 65,476
5. 65,476 * 16 = 696,616
6. 16 * 4 = 64
7. 64 * 16 = 1,024
8. 696,616 / 1,024 = 680.2890625
The composition DWhat are the coordinates of point S"?Pozx. 70D, 1(x, y) is appliedto ARST to create the image of AR"S"T", which is notshown.(를)121082+ol 들이-14-12-10-3-6422 4 6 8 10 12x8-10-12-14
SOLUTION
Step 1 :
In this question, we are meant to find the co-ordinates of S,
Where the compostion
40.3% of consumers Believe that cash will be Obsolete in the next 20 years. Assume that three consumers are randomly selected. Find the probability that fewer than three of the selected consumers believe that cash will be obsolete in the next 20 years.
The probability that fewer than three of the selected consumers believe that cash will be obsolete in the next 20 years is 0.538.
How to calculate the probability?The following can be deduced:
p = 40.3% = 0.403
1 - p = 1 - 0.403 = 0.597
n = 6
Therefore X follows the Binomial (6 , 0.403)
The PMF of the Binomial distribution is
P(X = x) = (n C x) * px * (1 - p)n - x ; x = 0 ,1 , 2 , ....., n
Now ,
P(fewer than 3)
= P(X < 3)
= P(X = 0) + P(X = 1) + P(X = 2)
= 0.0453+0.1834+0.3095
= 0.538
The probability is 0.538
Learn more about probability on:
https://brainly.com/question/25870256
#SPJ1
Mr. barber used 5/6 yard of wire to put up a ceiling fan. he used 1/2 yard of wire to fix a switch pt 1 out of 2 complete the calculations below to write equivalent fraction with the least common denominator
Least common denominator is the smallest number that can be divided by both given denominators.
From the problem, we have :
[tex]\frac{5}{6}\quad \text{and}\quad \frac{1}{2}[/tex]The denominators are 6 and 2.
The smallest number that can be divided by 6 and 2 is 6.
6/6 = 1 and 6/2 = 3
So we need an equivalent fraction with a denominator of 6.
For 5/6, multiply this by 1/1 since the denominator is already 6.
[tex]\frac{5}{6}=\frac{5\times1}{6\times1}=\frac{5}{6}[/tex]For 1/2, multiply this by 3/3 to make the denominator equal to 6.
[tex]\frac{1}{2}=\frac{1\times3}{2\times3}=\frac{3}{6}[/tex]KellyConnect
Program X has an annual cost of $35,000 and, in return, is expected to save the
Company C $40,000 during the first year. Assuming the cost and savings are equally
distributed across each month, after how many months will the company recover its
investment in Program X?
The business will need 10.5 months to make back the money it invested in Program X.
How do you determine monthly costs?Actual or anticipated costs for each monthly expense are needed to calculate the average monthly expenses.
How do you figure out the return on investment?By dividing an investment's net profit (or loss) by its initial cost or outlay, we can determine the return on investment.
Program X costs $35,000 per year, but is anticipated to save $40,000 for Company C in the first year.
Considering that the savings and the cost are equal over the course of each month
So, 40000/35000 = 0.875
No. of months to recover = 0.875 × 12
= 10.5 months
Therefore, the duration it will take the business to recover its
Investment in Program X is 10.5 months.
Learn more about problems based on investment here:
https://brainly.com/question/25300925
#SPJ9
May I please get help with this, for I have tried many times to get the correct answers and still could and am confused
We need to determine if the figures are congruent and if one or more of the given transformations map A onto B.
Notice that figure A is a trapezium with bases' lengths 1 and 3.
And figure B is a trapezium with bases' lengths 2 and 4. And both trapeziums have the same height 2.
Thus, the figures are not congruent, not even similar.
Since the listed transformations map to congruent images of A, none of them maps A onto B.
Therefore, they are NOT congruent and NONE of the transformations maps A onto B.
Find the equation of the line:
a) with a gradient of ½ and a y-intercept of -2
b) with a gradient of 3 and passing through the point (-2:2)
c) passing through the points (1; -2) and (-2; 1)
d) parallel to the y-axis cutting the x-axis at -1
Step-by-step explanation:
gradient means slope.
the slope is anyways the factor a of x on the slope-intercept form
y = ax + b
and in the point-slope form
y - y1 = a(x - x1)
"a" is as mentioned the slope. b is the y-intercept (the y- value when x = 0).
(x1, y1) is a point on the line.
a)
y = (1/2)×x - 2
b)
y - 2 = 3(x - -2) = 3(x + 2) = 3x + 6
y = 3x + 8
c)
remember, the slope is defined as ratio (y coordinate change / x coordinate change) when going from one point on the line to another.
so, let's go from (1, -2) to (-2, 1)
x changes by -3 (from 1 to -2)
y charges by +3 (from -2 to 1)
the slope is +3/-3 = -1/1 = -1
so, we pick one point, e.g. (1, -2), and the line is
y - -2 = -(x - 1) = -x + 1
y + 2 = -x + 1
y = -x - 1
d)
x = -1
this is a vertical line (parallel to the y-axis) representing all points on the grid for which x = -1.
the slope is undefined, as it is y/0 (because x never changes at all). and there is no y-intercept, as x can never be 0, and the line is parallel to the y-axis, so, there cannot be any intersection point.
Answer:
[tex]\textsf{a) \quad $y=\dfrac{1}{2}x-2$}[/tex]
[tex]\textsf{b) \quad $y=3x+8$}[/tex]
[tex]\textsf{c) \quad $y=-x-1$}[/tex]
[tex]\textsf{d) \quad $x=-1$}[/tex]
Step-by-step explanation:
Part (a)Slope-intercept form of a linear equation:
[tex]y=mx+b[/tex]
where:
m is the slope.b is the y-intercept.Given values:
Slope = ¹/₂y-intercept = -2Substitute the given values into the formula to create the equation of the line:
[tex]\implies y=\dfrac{1}{2}x-2[/tex]
---------------------------------------------------------------------------
Part (b)Point-slope form of a linear equation:
[tex]y-y_1=m(x-x_1)[/tex]
where:
m is the slope.(x₁, y₁) is a point on the line.Given:
Slope = 3(x₁, y₁) = (-2, 2)Substitute the given values into the formula to create the equation of the line:
[tex]\implies y-2=3(x-(-2))[/tex]
[tex]\implies y-2=3(x+2)[/tex]
[tex]\implies y-2=3x+6[/tex]
[tex]\implies y=3x+8[/tex]
---------------------------------------------------------------------------
Part (c)Slope formula:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are points on the line.
Given points:
(x₁, y₁) = (1, -2)(x₂, y₂) = (-2, 1)Substitute the points into the slope formula to calculate the slope of the line:
[tex]\implies m=\dfrac{1-(-2)}{-2-1}=\dfrac{3}{-3}=-1[/tex]
Substitute the found slope and one of the points into the point-slope formula to create the equation of the line:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-(-2)=-1(x-1)[/tex]
[tex]\implies y+2=-x+1[/tex]
[tex]\implies y=-x-1[/tex]
---------------------------------------------------------------------------
Part (d)If the line is parallel to the y-axis, it is a vertical line.
The equation of a vertical line is x = c.
Therefore, as the line intersects the x-axis at -1, the equation of the line is:
[tex]\implies x=-1[/tex]
If f(x)=x²+5 and g(x)=3x, find (f . g)(x) and (g . f)(x).
(f . g)(x)= _____ (Simplify your answer.)
The value of the functions are given as;
(f. g)(x) = 9x² + 5
(g . f)(x) = 3x² + 15
What is a function?A function can simply be described as an expression, law, or rule showing or explaining relationship between two variables in an equation.
The variables are namely;
The dependent variableThe independent variableGiven the functions;
fx)=x²+5g(x)=3xTo determine ( f. g)(x), we have to substitute the value of g(x) as x in the function, we get;
(f. g)(x) = (3x)² + 5
expand the bracket
(f. g)(x) = 9x² + 5
To determine (g . f )(x), we have to substitute the value of x in the function
(g . f(x) = 3(x² + 5)
expand the bracket
(g . f)(x) = 3x² + 15
Hence, the values are 9x² + 5 and 3x² + 15
Learn more about functions here:
https://brainly.com/question/25638609
#SPJ4
Find the slope and y-intercept for the line. Then write the equation of the line in slope-intercept form.
Slope =
y-intercept = (0,
Equation y
The equation of the line in slope intercept form is y=0(x)+0 or y=0.
What is slope intercept form?
The slope intercept form in the math is one of the forms used to calculate of the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope is the intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.
The equation of any of the straight line can be written as the y=mx+c, where m is its a slope and c is its y-intercept .
Hence, the equation of the line with slope is =0 and y - intercept =0 is y=0(x)+0 or y=0.
To know more about slope intercept form click -
https://brainly.com/question/1884491
#SPJ13
I need help with this problem it's a two-part thing
To find PQ, notice that M divides PQ into two parts with the same measure.
So, we have:
[tex]10x+3=14x-13[/tex]Now, we can solve the above equation for x, and then find PQ.
To solve the equation, we can apply the same operations on both sides of the equation, until we isolate the variable x and find its value:
[tex]\begin{gathered} 10x+3-14x=14x-13-14x \\ \\ -4x+3=-13 \\ \\ -4x+3-3=-13-3 \\ \\ -4x=-16 \\ \\ \frac{-4x}{-4}=\frac{-16}{-4} \\ \\ x=4 \end{gathered}[/tex]So, using x = 4, we obtain:
[tex]\begin{gathered} PQ=2\cdot(10x+3) \\ \\ PQ=2\cdot(10\cdot4+3) \\ \\ PQ=2\cdot(40+3) \\ \\ PQ=2\cdot43 \\ \\ PQ=86 \end{gathered}[/tex]Therefore, PQ = 86.
8000 is Shared between Oku and Ojo
In the ratio of 4:5 what is olu’s share and ojo’s
4444 is ratio of ojo’s share and 355.2 is the ratio of olu’s share .
What does a math ratio mean?
When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.the ratio of olu’s share and ojo’s = 4:5
total Shared = 8000
the ratio of olu’s share = 8000 * 4/9
= 888.8 * 4 = 355.2
the ratio of ojo’s share = 8000 * 5/9
= 888.8 * 5 = 4444
Learn more about Ratio
brainly.com/question/13419413
#SPJ13
use whole numbers and fractions to write 6.32 in expanded form
HELP ASAP
Ben says this system of equations has one solution. Is he correct? Explain. Choose the correct answer below.Y= 1/4x-4Y= 1/4x-14 A. Ben is incorrect. Since the equations have the same slope, the system has infinitely many solutions. B. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution. C. Ben is correct. Since the equations have the same slope, the system has exactly one solution.D. Ben is correct. Since the equations have the same slope and different y-intercepts, the system has exactly one solution.
Let's begin by listing out the given information:
[tex]\begin{gathered} y=\frac{1}{4}x-4--------1 \\ y=\frac{1}{4}x-14-------2 \\ \end{gathered}[/tex]We will observe that both equations have the same slope but different y-intercept. This implies that both equations are parallel to one another. This means that both equations never intersect at any point & as such, have no solution.
Hence, the correct answer is B. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution.
there is a number that is eight less than the sum of 20 + 12. find the number let n = the number
The number is given to be n.
[tex]n=(20+12)-8[/tex]A = {1, 2, 3, 4}
B = {3, 4, 5}
vertical line A intersection B vertical line =
The intersection of vertical lines A and B is 3 and 4.
How to find the intersection of the vertical linesWe are going to apply the sets theory here. In sets theory, the intersection of two elements means the values those elements have in common.
So given: A = {1, 2, 3, 4} and B = {3, 4, 5}
The intersection of A = {1, 2, 3, 4} and B = {3, 4, 5} is {3,4} since they both have 3 and 4 common.
Therefore, vertical lines A and B have intersection of 3 and 4.
Learn more about intersection of sets on:
https://brainly.com/question/11439924
#SPJ1
the cost of 4 Big macs plus $1.07 for fries is $15.07. Write an equation using the variable m to represent the cost of a Big Mac. then solve for your equation
The equation using the variable m to represent the cost of a Big Mac is
m + 1.07 = 15.07.
The cost of a Big mac is $14.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Let the cost of Big macs = m
cost of fries = $1.07
The total cost of Mig macs and fries = $15.07
This can be written as an equation:
m + 1.07 = 15.07
Subtract 1.07 on both sides.
m + 1.07 - 1.07 = 15.07 - 1.07
m = 14
The cost of a Big mac is $14.
Thus,
The equation using the variable m to represent the cost of a Big Mac is
m + 1.07 = 15.07.
The cost of a Big mac is $14.
Learn more about equations here:
https://brainly.com/question/27996921
#SPJ1
18. The area of the Great Lakes is about
9.5 x 104 square miles. About how many
square miles is the area of the Great Lakes?
The area of the Great Lakes is 988 square miles.
According to the question,
We have the following information:
The area of the Great Lakes is about 9.5 x 104 square miles.
Now, the area of the Great Lakes can simply be found by multiplying the given two numbers.
Now, in the multiplication involving numbers with decimal points, we know that the numbers are multiplied first as if there is no decimal point but in the result obtained we put the decimal point to exactly counting the digits where the decimal point was placed in the input. We move the decimal point to the left hand side according to the number of digits.
In this case, point is after 1 digit.
9.5*104 square miles
988.0 square miles
988 square miles
Hence, the area of the Great Lakes is 988 square miles.
To know more about area here
https://brainly.com/question/27683633
#SPJ1
Julia's text messaging plan charges 15 cents for each messages over 650 in addition to a $15 base charges. If she owes $49.50 for text messaging in the month of May, how many test messages did she send for that month?
Julia sent 880 text messages in the moth of May .
In the question ,
it is given that
Cost for first 650 messages = $15
additional text message charge = $0.15
Amount owed by Julia for the month of May = $49.50
Let the number of Additional messages be x.
So, according to the question
15 + 0.15x = 49.50
0.15x = 49.50 - 15
0.15x = 34.5
x = 34.5/0.15
x = 230
number of extra messages = 230
total messages = first 650 messages + extra messages
= 650+230
= 880
Therefore , Julia sent 880 text messages in the month of May .
Learn more about Equation here
https://brainly.com/question/28741785
#SPJ1
I'll give brainliest!
Answer: you got 1.9 1.57 2.45 and 2.125
Step-by-step explanation:
Explain why the products (x - 3)^2 and (x + 3)(x - 3)have a different number of terms.
the expression (x - 3)², has one term
the expression (x + 3)(x - 3), has two terms (x- 3) and (x + 3)
Without graphing, decide whether the system of equations has one solution, no solution, or infinitely many solutions.How many solutions does the system of equations have?y=11x-6y=-6x+11
Answer:
one solution
Explanation:
Given the system of equations:
[tex]\begin{gathered} y=11x-6 \\ y=-6x+11 \end{gathered}[/tex]Equating the two expressions of y:
[tex]\begin{gathered} 11x-6=-6x+11 \\ 11x+6x=11+6 \\ 17x=17 \\ x=\frac{17}{17} \\ x=1 \end{gathered}[/tex]Next, solve for y:
[tex]\begin{gathered} y=11x-6 \\ =11(1)-6 \\ =11-6 \\ y=5 \end{gathered}[/tex]Thus, we conclude that the system of equations has exactly one solution (1, 5).
10 State if the two triangles are congruent or not congruent. If they are congruent, state the theorem (one of the five) that proves they are congruent. 1 Show Your Work
By theorem we have that if two sides of a triangle are equal, then the angles opposite to those sides are equal, with this or with knowing that the angle between the known sides are equal we conclude that both triangles are equal [the latter solution is using congruency SAS for the triangles, where S is side and A angle.]
Hello, would you be able to help me with this?
Given: An expression
[tex]\sqrt{10}[/tex]Required: To write the exponent form of the given expression.
Explanation: The square root of a number is the same as having an exponent of 1/2.
For example
[tex]\sqrt{36}=6[/tex]And in exponent form,
[tex]\begin{gathered} \sqrt{36}=(36)^{\frac{1}{2}} \\ =(6^2)^{\frac{1}{2}} \\ =6 \end{gathered}[/tex]Hence for the given expression, we can write it as
[tex]\sqrt{10}=(10)^{\frac{1}{2}}[/tex]Final Answer: Option D is correct.
If Sarah were to paint her living room alone, it would take 5 hours. Her sister Rachel could do the job in 8 hours. How long would it take them working together?
It takes a specific amount of time (T) to finish a particular task (W). The rate of work is the quantity of units of work completed per unit of time (R). Work (W) = Rate (R) Time, thus (T).
They spent 40/13 hours together painting her living room.
What is the relationship between time and work?Time = 1 divided by the rate of work. If a task is completed across x days, then the amount of work completed in a single day is equal to 1/x. Total Work Done = Days * Productivity. Time and effectiveness are inversely related to one another.Time and work concerns concern the simultaneous performance of a person or a group's productivity and the amount of time it takes for them to finish a task. Work is the energy expended to complete a task or produce a deliverable.It takes a specific amount of time (T) to finish a particular task (W). The rate of work is the quantity of units of work completed per unit of time (R). Work (W) = Rate (R) Time, thus (T)sarah does the 1/5 of the job per hour.
Rachel does the 1/8 of the job per hour.
Together, they do 1/5 + 1/8 of the job per hour.
= 13/40 of the job each hour
The inverse of job/hour = hours per job
---> 40/13 hours to do it together.
For a shortcut:
t = 5*8/(5+8) = 40/13 hours
They spent 40/13 hours together painting her living room.
To learn more about : Work
Ref : https://brainly.com/question/27405967
#SPJ13
HELP PLEASEEEEE!!!!!!
[tex]-1\frac{3}{4}[/tex] is located at a point 1.
1.1125 is located at point 6.
14 / 8 is located at point 8.
-0.875 is located at point 3.
What are the locations of the numbers?The numbers are made up of mixed fractions, improper fractions, decimals, positive numbers and negative numbers.
A mixed number is a number that has a whole number and a proper fraction. A proper fraction is a fraction is which the numerator is less than the denominator. An example of a mixed number is 1 3/4. An improper fraction is a fraction in which the numerator is greater in value than the denominator. An example of an improper fraction is 14/8.
A negative number is a number that is less than 0. This numbers would be located to the left of 0 on the number line. An example of a negative number is -1.2. A positive number is a number that is greater than 0. These numbers are located to the right of 0 on the number line. An example of a positive number is 1
To learn more about fractions, please check: https://brainly.com/question/25779356
#SPJ1
Out of 250 tickets in a raffle, one ticket will win a $430 prize, one ticket will win a $290 prize, one ticket will win a $190 prize, and one ticket will win a $130 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
The expected value is given by:
[tex]E(x)=\sum ^{}_{}xP(x)[/tex]In this case we have:
[tex]\begin{gathered} E(x)=430(\frac{1}{250})+290(\frac{1}{250})+190(\frac{1}{250})+130(\frac{1}{250}) \\ =4.16 \end{gathered}[/tex]Therefore the expected payoff is $4.16
the net below is used to form a cylinder with a radius of 5 units
Given,
The radius of the cylinderis 5unit.
Required
The measure of CD.
The length of the CD is equal to the circumference of the base of circle.
So, the length of the cylinder is,
[tex]\begin{gathered} Length=2\pi r \\ =2\times\pi\times5 \\ =10\times\pi \\ =10\pi \end{gathered}[/tex]Hence,the length of CD is 10 pi.