Answer:
C
Step-by-step explanation:
If we're assuming the graph is linear, we can see that every 1 x value it goes up, the y value is upped by 4.
6+4=10
So therefore the value of y in (3,y) is 10.
If f(x)= 2x + 5, which of these is the inverse of f(x)
Answer:
D. [tex]f^{-1}(x)=\frac{x-5}{2}[/tex]
Step-by-step explanation:
The given function is
[tex]f(x)=2x+5[/tex]
Let [tex]y=2x+5[/tex]
Interchange x and y.
[tex]x=2y+5[/tex]
Solve for y.
[tex]x-5=2y[/tex]
Divide both sides by 2
[tex]\frac{x-5}{2} =y[/tex]
Hence [tex]f^{-1}(x)=\frac{x-5}{2}[/tex]
Answer: OPTION D
Step-by-step explanation:
To find the inverse of the function given in the problem, you must apply the proccedure shown below:
1- Rewrite the function:
[tex]y=2x+5[/tex]
2- You must solve for x from the functionn, as following:
Subtract 5 from both sides of the function.Divide both sides of the function by 2. Then:[tex]y-5=2x\\\\x=\frac{y-5}{2}[/tex]
Rewrite the function as following (Substitute [tex]x=f^{-1}(x)[/tex] and [tex]y=x[/tex]:[tex]f^{-1}(x)=\frac{x-5}{2}[/tex]
If a + 1 = b, then b > a. true or false?
Answer:
TRUE, because you are adding a unit more to a, then by logic laws, the quantity grow.
Best regards
Answer:
b > a - True
Step-by-step explanation:
We are given the following expression and we are to determine whether [tex] b > a [/tex] is true or not:
[tex] a + 1 = b [/tex]
Considering the given equation, if we take both the variables on one side so we will get:
[tex] 1 = b - a [/tex]
Sign of the variable [tex]a[/tex] will change to negative while [tex]b[/tex] remains positive.
It means that [tex][/tex] is greater than [tex]a[/tex] (b > a) so it is true.
Aaron designed a robot for a contest. His robot can move 3/4 meter in 1/2 second. What is the robot’s unit rate of speed
Answer:
3/4 divided by one half is multiplying by 2 so 6/4 meter
simplify 6/4 into 3/2 meters per second
Answer:
3/4 divided by one half is multiplying by 2 = 6/4 meter
simplify 6/4 into 3/2 meters per second
Step-by-step explanation:
3/4 divided by one half is multiplying by 2 = 6/4
and u simplify 6/4 into 3/2 meters per second
Jaylyn rode her bicycle in a bike a thon she rode 33.48 miles in 2.7 hours If she rode at the same speed what was her speed in miles per hour
Answer 12.4
Step-by-step explanation:
33.48/2.7=12.4
Answer: 12.4
Step-by-step explanation: 33.48/2.7=12.4
I Hope This Helps!!!
531.75 is 75% of what amount
75% × X =531.75
X =531.75/75
X = 7.09
Answers
7.09
Check! Proof!
75% × 7.09
=531.75
Solve 5x 2 - 7x + 2 = 0 by completing the square. What are the solutions?
Answer:
[tex]x=\frac{2}{5}[/tex] or [tex]x=1[/tex]
Step-by-step explanation:
The given quadratic equation is
[tex]5x^2-7x+2=0[/tex]
Group the constant terms on the right hand side.
[tex]5x^2-7x=0-2[/tex]
[tex]5x^2-7x=-2[/tex]
Divide through by 5.
[tex]x^2-\frac{7}{5}x=-\frac{2}{5}[/tex]
Add the square of half the coefficient of x., which is [tex](\frac{1}{2}\times- \frac{7}{5})^2=\frac{49}{100}[/tex] to both sides of the equation.
[tex]x^2-\frac{7}{5}x+\frac{49}{100}=-\frac{2}{5}+\frac{49}{100}[/tex]
The left hand side is now a perfect square.
[tex](x-\frac{7}{10})^2=\frac{9}{100}[/tex]
Take the square root of both sides;
[tex](x-\frac{7}{10})=\pm \sqrt{\frac{9}{100}}[/tex]
[tex]x-\frac{7}{10}=\pm \frac{3}{10}[/tex]
[tex]x=\frac{7}{10}\pm \frac{3}{10}[/tex]
[tex]x=\frac{7-3}{10}[/tex] or [tex]x=\frac{7+3}{10}[/tex]
[tex]x=\frac{4}{10}[/tex] or [tex]x=\frac{10}{10}[/tex]
[tex]x=1[/tex] or [tex]x=\frac{2}{5}[/tex]
Answer:
[tex]x_1=1\\\\x_2=\frac{2}{5}[/tex]
Step-by-step explanation:
- You must divide the equation by 5:
[tex]x^{2}-\frac{7}{5}x+\frac{2}{5}=0[/tex]
- Add and subtract [tex](\frac{\frac{7}{5}}{2})^2[/tex]:
[tex]x^{2}-\frac{7}{5}x+(\frac{7}{10})^2+\frac{2}{5}-(\frac{7}{10})^2=0[/tex]
Therefore, you obtain:
[tex](x-\frac{7}{10})^2-0.09=0[/tex]
-add 0.09} to both sides:
[tex](x-\frac{7}{10})^2=0.09[/tex]
- Apply square root to both sides and solve for x:
[tex]\sqrt{(x-\frac{7}{10})^2}=\sqrt{\0.09}\\x-\frac{7}{10}=\sqrt{0.09}\\\\x_1=\frac{7}{10}+\sqrt{0.09}=1\\\\x_2=-\frac{7}{10}-\sqrt{0.09}=\frac{2}{5}[/tex]
Write the expressions for when you translate the graph of y= x one unit up, one unit down, one unit to the left, one unit to the right
Answer:
Step-by-step explanation:
One unit up: y = x + 1
One unit down: y = x - 1
One unit to the left: y = x + 1
One unit to the right: y = x - 1
Final answer:
To translate the graph of y = x, add or subtract from either x or y in the equation; for example, translating one unit up is expressed as y = x + 1.
Explanation:
To translate the graph of the function y = x in various directions, we apply different transformations to the equation. For each translation, there's a specific algebraic manipulation:
One unit up: y = x + 1One unit down: y = x - 1One unit to the left: y = x + 1One unit to the right: y = x - 1Shifting a graph vertically involves adding or subtracting from the y-value, while shifting horizontally involves adding or subtracting from the x-value before it is plugged into the function.
Macy's is having a special on t-shirts. You can buy each at its regular price of $10.99, $11.90 and $10.08 or you can buy 3 t-shirts for $25. Julie bought one of each t-shirt at the sale price of $25. What percentage of the original total price did Julie save?
Answer:
24.2%
Step-by-step explanation:
The total regular price was:
$10.99 + $11.90 + $10.08 = $32.97
She paid:
$25
She saved: $32.97 - $25 = $7.97
Now we need to calculate what percent of $32.97 is $7.97.
To find what percent a number is of another number, divide the first number by the second number and multiply by 100.
percent saved = $7.97/$32.97 * 100 = 24.2%
Part (b)
Harry, Julie's best friend, also paid $25 for 3 t-shirts at a sale at another store. The sale price saved Harry 30% of the original price of the 3 t-shirts. What is the original price of Harry's 3 t-shirts? Who got the better deal?
Harry paid $25 and saved 30% over his original price. Let his original price be x. The original price was 100% of the original price since 100% means the whole amount. Since he saved 30%, that means he paid 70% of the original price.
70% of the original price = $25
70% of x = 25
70%x = 25
0.70x = 25
0.70x/0.70 = 25/0.70
x = 35.71
The t-shirts Harry bought had an original price of $35.71.
Harry got the better deal because he bought t-shirts with an original higher price for the same $25.
8,327.8 minus 12.034
Answer:
8327.800
- 12.034
___________
8315.766
Step-by-step explanation:
The answer would be:
8,315.766
To solve this you do:
8,327.8 subtracted by 12.034
Once you do you end up with your results.
Hope this helps! :3
Amy handed out 79 donuts on National Donut Day. She still had 147 left to give out. Write and solve an equation to find out how much she started with.
[tex]x - 79 = 147[/tex]
147+79=226 Amy started with 226 donuts.
Final answer:
Amy started with 226 donuts. The equation x - 79 = 147 was solved by adding 79 to both sides to find x, representing the total amount of donuts she had originally.
Explanation:
The question involves solving a basic algebra problem to find the total number of donuts Amy started with. If Amy handed out 79 donuts and still has 147 left, we can set up the following equation where x represents the total number of donuts she originally had:
x - 79 = 147
To solve for x, we add 79 to both sides of the equation:
x - 79 + 79 = 147 + 79
x = 226
Therefore, Amy started with 226 donuts.
f(x)=3x + h f(h-1)=5
Answer: 4h - 3
Step-by-step explanation:
replace "x" with "h - 1" and simplify
f(x) = 3x + h
f(h - 1) = 3(h - 1) + h
= 3h - 3 + h
= 4h - 3
Which graph represents the solution for the equation 4 3 x + 2 = 5x? A) A B) B C) C D) D
Answer:
A) A
Step-by-step explanation:
The equation of a line is given by
[tex]y=mx+q[/tex]
where
m is the slope of the curve
q is the y-intercept of the curve
The two lines given in the problem are:
[tex]y=\frac{4}{3}x+2[/tex] --> slope of 4/3 and y-intercept of +2
[tex]y=5x[/tex] --> slope of 5 and y-intercept of 0
By exclusion, we see that the correct answer is A. In fact:
- Option B is wrong, because one of the two lines has negative slope, while the two lines given in the problem have both positive slope
- Option C is wrong, because one of the two lines is flat (slope=0), while none of the two lines given in the problem has a slope of zero
- Option D is wrong, because again one of the two lines has negative slope
Option A is the correct one: in fact, we see that the black line has an y-intercept of +2 and a slope of 4/3, while the green line has a slope of 5 and an y-intercept of zero.
Answer:
The answer
D) D
Step-by-step explanation:
I knew this because one, i just did the test and two the previous answer that was given was incorrect
A drawer is filled with 9 black shirts, 6 white shirts, and 5 gray shirts.
One shirt is chosen at random from the drawer. Find the probability that it is not a white shirt.
Write your answer as a fraction in simplest form.
Answer:
There is a 7/10 chance that it is not white
Step-by-step explanation:
To find this, start by finding the number of total shirts.
9 + 6 + 5 = 20
Now find the number that are not white.
9 + 5 = 14
Now divide the number of non-white by the number in total.
14/20
And simplify the fraction.
7/10
Final answer:
The probability of choosing a shirt that is not white from the drawer is 7/10, since there are 14 non-white shirts out of a total of 20 shirts.
Explanation:
The question asks to find the probability that a shirt chosen at random from a drawer is not white, given that there are 9 black shirts, 6 white shirts, and 5 gray shirts. To tackle this, we'll look at the total number of shirts and then subtract the number of white shirts from this total to find how many shirts are not white. The total number of shirts is 9 (black) + 6 (white) + 5 (gray) = 20 shirts. The number of shirts that are not white would be 20 (total) - 6 (white) = 14 shirts. Therefore, the probability of choosing a non-white shirt is 14 (non-white shirts) divided by 20 (total shirts), which simplifies to 7/10. This fraction is already in its simplest form.
brandon has 1 jill has 3 mark has 2 need Nicole has 4 and steve has 0 what is the mean
Answer: The mean is 2.
Step-by-step explanation:
The mean number is a group of numbers is the average. In this group, the numbers are 1, 3, 2, 4 and 0. The total of all of the numbers is 10. In order to calculate the average/mean you need to divide the total by the number of values, which is 10/5 = 2. The mean is 2.
The coordinates of the vertices of the triangle shown are P(−7, 6), Q(5, −4), and R(−7, 4). Which measurement is closest to the length of PQ in units?
Answer:
The Answer Is D
Step-by-step explanation:
:)
Answer:
D) 15.6 units
Step-by-step explanation:
Apply the Pythagorean theorem,
the square root of 12^2 + (-10^2) = the square root of 244 = 15.6 units
which is the graph of y= ^3 sqrt x+1 -2
ANSWER
See graph in attachment.
EXPLANATION
The given function is
[tex]y = \sqrt[3]{x + 1} - 2[/tex]
The parent function is
[tex]y = \sqrt[3]{x} [/tex]
The transformation applied to this parent function is
[tex]f(x+1)-2[/tex]
That, is a shift to the left by 1 unit, and a downward shift by 2 units.
See attachment for correct choice.
Order the expressions from least value to greatest value.
The order of the expressions from least value to the greatest value is Number 1 < Number 3 < Number 4 < Number 2 and this can be determined by using the arithmetic operations.
Given :
Number 1 -- [tex]-4.8\times 3.2[/tex]
Number 2 -- [tex]2\dfrac{1}{4}+(-1\dfrac{2}{5})[/tex]
Number 3 -- [tex]\dfrac{4.32}{-3}[/tex]
Number 4 -- [tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})[/tex]
Evaluate the given expression to determine the order of the expressions from least value to the greatest value.
Number 1 --- [tex]-4.8\times 3.2 = -15.36[/tex]
Number 2 --- [tex]2\dfrac{1}{4}+(-1\dfrac{2}{5}) = \dfrac{9}{4}-\dfrac{7}{5}=\dfrac{17}{20}[/tex]
[tex]2\dfrac{1}{4}+(-1\dfrac{2}{5}) = 0.85[/tex]
Number 3 --- [tex]\dfrac{4.32}{-3}= -1.44[/tex]
Number 4 --- [tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})=-\dfrac{13}{5}+\dfrac{7}{5}= \dfrac{-6}{5}[/tex]
[tex]-2\dfrac{3}{5}-(-1\dfrac{2}{5})=-1.2[/tex]
Number 1 < Number 3 < Number 4 < Number 2
For more information, refer to the link given below:
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What is ⅖x=4
And how do you solve it
Answer:x=10
Step-by-step explanation:
5/2 × 2/5 = 4/1 × 5/2
Multiply and simplify and x=10
The solution to the equation 2/5x = 4 is x = 10. You can find the solution by multiplying both sides of the equation by 5/2, which cancelled out the 2/5 on the left side, and then performing the operation on the right side.
Explanation:To solve the equation 2/5x = 4, you'll first want to isolate the variable 'x' on one side of the equation. You can do this by dividing both sides of the equation by the coefficient of 'x', which is 2/5. However, instead of dividing by a fraction, it's easier to multiply by the reciprocal of the fraction.
So, we multiply both sides of the equation by 5/2. The 5/2 multiplied by 2/5 on the left side of the equation equals 1, leaving us with just 'x' on the left side of the equation.
So, you would have x = 4 * 5/2.
Now, we just perform the operation on the right side to find the value of 'x', and we get x = 20/2 = 10.
So, the solution to the equation 2/5x = 4 is x = 10.
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PLEASE HELP ME !!!!
Money that is earned is called
A. income
B. expenses
C. records
C. budget
Answer:
a
Step-by-step explanation:
Answer:
A. income
Step-by-step explanation:
Xa/xb = xa-b. This is the______of Powers of property. The word is 8 letters long
Answer:
This is the Quotient of Powers of property. HOPE THIS HELPS!!!
Step-by-step explanation:
Answer:
Power is the Correct Answer
Step-by-step explanation:
Hoped I helped anybody!!!
(I need help) - 2/3 divided by 4/6 = ?
Plz help !! Need to graduate
HELP ASAP! GIVING BRAINLIEST!!
∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is
A) (50)^1/2
B) (65)^1/2
C) (105)^1/2
D) (145)^1/2
units. The length of side BC is
A) (50)^1/2
B) (65)^1/2
C) (105)^1/2
D) (145)^1/2
units. The length of side AC is
A) (50)^1/2
B) (65)^1/2
C) (105)^1/2
D) (145)^1/2
units.
∠ABC ≈ °
A) 55.21
B) 85.16
C) 105.26
D) 114.11
Answer:
1. Option A
2. Option B
3. Option D
4. Option C
Step-by-step explanation:
The given vertices of triangle ABC are A(-3, 6), B(2,1), C(9, 5).
We have to fine the distance AB, BC and AC.
To calculate the distance between two vertices we will use the formula
[tex]d=\sqrt{(x-x')^{2}+(y-y')^{2}}[/tex]
For the length of side AB
AB=[tex]\sqrt{(2+3)^{2}+(1-6)^{2}}=\sqrt{5^{2}+5^{2}}=\sqrt{50}[/tex]
Option A. is the correct option
For the length of side BC
[tex]BC=\sqrt{(9-2)^{2}+(5-1)^{2}}=\sqrt{7^{2}+4^{2}}=\sqrt{65}[/tex]
Option B is the answer.
For the length of side AC
[tex]AC=\sqrt{(9+3)^{2}+(5-6)^{2}}=\sqrt{12^{2}+(-1)^{2}}=\sqrt{145}[/tex]
Option D is the answer.
For ∠ABC we will use the formula [tex]tan\theta =\frac{m_{1}-m_{2}}{1+m_{1}m_{2}}[/tex]
Since angle ABC is formed by two sides AB and BC
So we will find the slopes of these two lines and find the angle
Now slope of AB, [tex]m_{1}=\frac{y-y'}{x-x'}=\frac{1-6}{2+3}=\frac{-5}{5}=-1[/tex]
Slope of BC, [tex]m_{2}=\frac{5-1}{9-2}=\frac{4}{7}[/tex]
[tex]tan\theta =\frac{m_{1}-m_{2}}{1+m_{1}m_{2}}[/tex]
[tex]tan\theta =\frac{(-1)-(\frac{4}{7})}{1+(-1)(\frac{4}{7})}=\frac{\frac{-11}{7}}{1-\frac{4}{7}}=\frac{\frac{-11}{7}}{\frac{3}{7}}=\frac{-11}{7}\times \frac{7}{3}=-\frac{11}{3}=-3.67[/tex]
[tex]\theta =tan^{-1}(-3.67)=74.75[/tex]
Since angle between them [tex]tan\theta[/tex] is negative that means angle theta will be obtuse angle.
So the angle between AB and BC = (180 - 74.75) = 105.26°
Therefore Option C. 105.26° is the answer.
Find the area of a square with side of 7 feet. 56 ft.2 49 ft.2 14 ft.2
Answer:
49 sq ft
Step-by-step explanation:
multiply 7 by 7
Answer:
49 ft.
Step-by-step explanation:
All sides of a square are equal so, that means all sides are 7 ft long
You have to multiply 7 x 7 because all sides are 7 ft long
7 x 7 = 49
The ages of the guest on a museum tour are 32, 14, 18, 29, 65, 50, 48, 44, and 28. Find the five-number summary of the ages. Can you help cause there asking to show step by step
Answer:
1. Minimum Value = 14
2. First Quartile (Q₁) = 28
3. Median = 32
4. Third Quartile (Q₃) = 48
5. Maximum Value = 65
Step-by-step explanation:
The five-number summary includes five things that are:
1. Minimum Value
2. First Quartile (Q₁)
3. Median
4. Third Quartile (Q₃)
5. Maximum Value
So, Firstly arrange given data in ascending order:14, 18, 28, 29, 32, 44, 48, 50, 65
1. Minimum Value = 14
It can be found by arranging the data in ascending order, the first value we will get is the minimum value.
2. First Quartile is the middle value between Minimum value and Median of data after arranging data in ascending order.
First Quartile (Q₁) = 28
3. Median is the middle value of the data after arranging them in ascending order.
Median = 32
4. The third Quartile is the middle value between Median and Maximum Value of data after arranging data in ascending order.
Third Quartile (Q₃) = 48
5. Maximum Value is the largest value of the data or is the last value after arranging the data in ascending order.
Maximum Value = 65.
There are 4 KSU socks and 3 KU socks in a drawer. What is the probability of randomly selecting a KSU sock?
It's step by step. First you need to do 4+3 which equals 7, which is the total number of socks. Since the number of KSU socks is 4, the probability is 4/7.
Note-If another problem like this comes up and the two numbers have a common factor divide those numbers by that common factor and you get the simplest form of the ratio. This note was just a heads up.
in a probability experiment Eric flip a coin 36 times. The coin landed on head 24 times. What is the ratio of heads to tails in this experiment?
A.3/2
B.1/2
C.2/3
D.2/1
Answer:
2/3 is the correct answer so C. Hope this helps you. :)
Step-by-step explanation:
In this experiment, the ratio of heads to tails comes out to be 2/1.
Probability What is Probability?Probability is a way to gauge how likely something is to happen. Even while no event can be foreseen with absolute certainty, probability can be used to convey how likely it is that it will happen.
Formula of Probability:Probability is the ratio of the number of favourable outcomes to the total number of outcomes of an event.
The number of favourable outcomes for an experiment with 'x' and the total outcomes is represented by the symbol 's'. The following formula can be used to determine how likely an event is to occur.
Probability = Favourable Outcomes/Total Outcomes = x/s
Calculate the ratio:The total number of the outcomes are 36.
The total outcome for head is 24 times.
So, the total outcome for tail will be 36 - 24 = 12
The ratio of head to tail is = favourable outcome for heads/ favourable outcomes for tails.
Thus,
heads/ tails = 24/12
heads/tails = 2/1
Therefore, the ratio of heads to tails in the experiment is 2/1.
To know more about binomial distribution in probability and its example, here
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Eliminate the parameter.
x = t + 4, y = t2 (5 points)
y = square root of x + x + 4
y = square root of quantity x minus four
y = x2 + 16
y = x2 - 8x + 16
Answer:
Last option
Step-by-step explanation:
We have the following equations:
[tex]x = t + 4\ ,\ \ y = t ^ 2[/tex]
The parameter that we must eliminate is t.
To eliminate the parameter we must clear t from both equations:
[tex]x = t + 4\\\\x -4 = t[/tex]
[tex]y = t ^ 2\\\\\sqrt{y} = t[/tex]
if [tex]t = \sqrt{y}[/tex] and [tex]t = x-4[/tex]
So:
[tex]\sqrt{y} = x- 4[/tex]
We square both sides of the inequality
[tex]y = (x-4) ^ 2\\\\y = x ^ 2 -8x +16[/tex]
Find the amount of the sales tax and the total cost. Round money answers to the nearest cent.
Cost of item: $560 tax rate: 8%
Sales tax=
Total cost=
Answer:
$604.80
Step-by-step explanation:
With 8% tax rate, multiply the cost of the item (560) by 8% (0.08)
560*.08 = 44.80 (sales tax)
Add the cost of item (560) and the sales tax (44.80)
560 + 44.80 = 604.80
If 8x + 8y = 4 and 4x + 2y = 12, what is the value of x?
A) -5
B) -
11
2
C) 5
D)
11
2
the value of x = the answer is D 11/2