Step-by-step explanation:
A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.
you can tell if the graph is inverse if f(x) passes the horizontal line test ( basically if it touches the line that goes across *horizontally* on the graph) and a graph is a one to one function if and ONLY if it touches both vertical and horizontal lines on the graph
What is true about the dilation?
On a coordinate plane, the image rectangle has points (0, 0), (0, 8), (9, 8), (8, 0). The pre-image has points (0, 0), (0, 2.5), (3, 2.5), (3, 0).
It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.
answer my question pls
Answer:
The answer is D.Step-by-step explanation:
This is because only a reduction can be 0-1, as it will shrink, while if you multiply a number by a number greater than 1, is will largen.
The dilation is an enlargement with a scale factor greater than 1. Thus, the correct option is D.
How does dilation affect length, area, and volume of an object?(SCALING ZOOMING SIMILAR FIGURES)
Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So area of first figure = k² × area of second figure
Similarly, Volume of first figure = k³ × volume of second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
As it can be seen in the image below that the red rectangle is the pre-image therefore, it is the original figure.
The blue rectangle is the image of the original figure.
Now, as it can be seen that the pre-image is a smaller rectangle, while the image is a large rectangle, therefore, the dilation made is of enlargement.
Also, it can be observed that the ratio of any corresponding sides of the two rectangles is more than 1.
Hence, the dilation is an enlargement with a scale factor greater than 1. Thus, the correct option is D.
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Find the slope of the line between the points (2, - 9) and (-8, – 99).
Answer: use desmos to graph them
Step-by-step explanation:
1. Solve this quadratic by factoring
6x^2+7x-5=0
2. Solve this quadratic by factoring x^2+5x-14=0
3. Solve this quadratic using the quadratic formula
3x^2-7x-9=0
4. Solve this quadratic by factoring
X^2-25=0
5. Solve this quadratic by factoring
X^2-6x=0
Please show work.
ANSWER #1:
x = -1.666666667
x = 0.5
STEP-BY-STEP:
Simplifying
6x2 + 7x + -5 = 0
Reorder the terms:
-5 + 7x + 6x2 = 0
Solving for variable 'x'.
(-5 + -3x)(1 + -2x) = 0
SUBPROBLEM 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:
Simplifying
-5 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5
Combine like terms:
0 + -3x = 0 + 5
-3x = 0 + 5
Combine like terms:
-3x = 5
Divide each side by '-3'.
x = -1.666666667
Simplifying
x = -1.666666667
SUBPROBLEM 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:
Simplifying
1 + -2x = 0
Move all x terms to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1
Combine like terms:
0 + -2x = 0 + -1
-2x = 0 + -1
Combine like terms:
-2x = -1
Divide each side by '-2'.
x = 0.5
Simplifying
x = 0.5
ANSWER #2:
x = -7
x = 2
STEP-BY-STEP:
Simplifying
x2 + 5x + -14 = 0
Reorder the terms:
-14 + 5x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-7 + -1x)(2 + -1x) = 0
SUBPROBLEM 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:
Simplifying
-7 + -1x = 0
Solving
-7 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7
Combine like terms:
0 + -1x = 0 + 7
-1x = 0 + 7
Combine like terms:
-1x = 7
Divide each side by '-1'.
x = -7
Simplifying
x = -7
SUBPROBLEM 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '-2' to each side
2 + -2 + -1x = 0 + -2
Combine like terms:
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms:
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
ANSWER #3:
x = 3.25
x = -0.92
STEP-BY-STEP
Simplifying
3x2 + -7x + -9 = 0
Reorder the terms:
-9 + -7x + 3x2 = 0
Solving for variable 'x'.
Divide each side by '3'.
-3 + -2.333333333x + x2 = 0
Add '3' to each side
-3 + -2.333333333x + 3 + x2 = 0 + 3
Reorder the terms:
-3 + 3 + -2.333333333x + x2 = 0 + 3
Combine like terms:
0 + -2.333333333x + x2 = 0 + 3
-2.333333333x + x2 = 0 + 3
Combine like terms:
-2.333333333x + x2 = 3
The x term is -2.333333333x. Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.
Add '1.361111112' to each side
-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112
Reorder the terms:
1.361111112 + -2.333333333x + x2 = 3 + 1.361111112
Combine like terms:
1.361111112 + -2.333333333x + x2 = 4.361111112
Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 4.361111112
Calculate the square root of the right side: 2.088327348
Break this problem into two subproblems by setting
(x + -1.166666667) equal to 2.088327348 and -2.088327348.
SUBPROBLEM 1
x + -1.166666667 = 2.088327348
Simplifying
x + -1.166666667 = 2.088327348
Reorder the terms:
-1.166666667 + x = 2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side
Combine like terms:
0.000000000 + x = 2.088327348 + 1.166666667
x = 2.088327348 + 1.166666667
Combine like terms:
2.088327348 + 1.166666667 = 3.254994015
Simplifying
x = 3.254994015
SUBPROBLEM 2
x + -1.166666667 = -2.088327348
Simplifying
x + -1.166666667 = -2.088327348
Reorder the terms:
-1.166666667 + x = -2.088327348
Solving
-1.166666667 + x = -2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667
Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -2.088327348 + 1.166666667
x = -2.088327348 + 1.166666667
Combine like terms: -2.088327348 + 1.166666667 = -0.921660681
x = -0.921660681
Simplifying
x = -0.921660681
ANSWER #4:
x = -5
x = 5
STEP-BY-STEP:
Simplifying
x2 + -25 = 0
Reorder the terms:
-25 + x2 = 0
Solving
-25 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '25' to each side
-25 + 25 + x2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + x2 = 0 + 25
x2 = 0 + 25
Combine like terms: 0 + 25 = 25
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
A 12 foot ladder is leaning against the top of a wall at a 36 degree angle of elevation. How high is the wall?
9.7 feet
7 feet
7.5 feet
12 feet
Answer:
12
Step-by-step explanation:
12
what is x + 20x (-2)
Answer:
x = 1/20 = 0.050
x = 0
Step-by-step explanation:
either of those
Answer:
Hey bro,
The answer should - 39x i.e minus 39x
Help me please it’s almost due
Answer: A
Step-by-step explanation:
Find the measure of
help me plzz will mark brainliest
Answer:
[tex]x=7,\\y=6[/tex]
Step-by-step explanation:
The segment [tex]UV[/tex]consists of [tex]UZ[/tex] and [tex]VZ[/tex]. Therefore, we can write the following equation:
[tex]3y-5+2y+2=27,\\5y-3=27,\\5y=30,\\y=\fbox{$6$}[/tex].
Since [tex]UV[/tex] bisects [tex]TW[/tex], [tex]TZ\cong WZ[/tex].
Therefore,
[tex]3x+3=3y+6,\\3x+3=3(6)+6,\\3x+3=18+6,\\3x+3=24,\\3x=21,\\x=\fbox{$7$}[/tex]
please help. see doccument below
Answer:Yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
we can start by dividing finding how many times 60 goes into 156.
It goes in 2 times with 120 miles.
we can subtract 120 from 156
this leaves us with 36 miles.
36 > (60 * .5)
between 7:30 and 10:00 there are 2.5 hours.
the car ride would take 2.6 hours meaning Kim wouldn't arrive before 10 am.
Are 12,24,36,48 proportional
Simplify the expression.
5(8x-10)-10x+25(8x−10)−10x+2
50x - 48
50x + 48
30x - 48
30x + 52
witch one is correct
The daily fees for the Fun Town amusement park are
$10 per adult and $5 per child. Yesterday, daily fees
were paid for a adults and c children. Which of the
following expresses the total amount in dollars,
collected for daily fees yesterday?
Answer:did you get the answer???
Step-by-step explanation:
Expression representing total amount collected for the daily fees yesterday will be $(10a + 5c).
Daily fees for the Fun Town amusement Park are,
Adult → $10 eachChild → $5 eachIf there were 'a' adults and 'c' children in the park yesterday,
Total amount to be paid = $(10a + 5c)
Therefore, expression for the total amount collected for daily fees yesterday will be $(10a + 5c).
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a certain job can be done in 20 hours by 4 people. how many people are needed to do the same job in 10 hours?
Select the equation that is true.
5,400 ÷ 9 = 4,500 ÷ 5
3,500 ÷ 7 = 2,400 ÷ 3
2,700 ÷ 9 = 4,000 ÷ 8
3,500 ÷ 7 = 4,500 ÷ 9
plzzz guys help I'm so confused
At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 4.8%. Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.
Answer:
y = 320,000 ( 1.048 ) ^x
x = number of years
(the ^ before the x symbolizes "to the power of," but I can't do that on my keyboard)
Step-by-step explanation:
formula i used:
A = amount that you start with
t = amount of years / time
%increase: you must convert your percent (4.8%) to a decimal (0.048)
A ( 1 + %increase ) ^t
Answer:
y = 320,000(1.048)^t
Step-by-step explanation:
4.8% = 0.048.
The population grows by 1.048 per year.
The required equation is:
y = 320,000(1.048)^t
The plan for a city park shows that the park is a quadrilateral with straight paths along the diagonals. For what values of the variables is the park a parallelogram? In this case, what are the values of x and y?
Picture relating to question has been attached below
Answer:
x = 10 ; y = 15
Step-by-step explanation:
The values for which the park is a parallelogram :
For the quadrilateral to be a parallelogram ; the diagonals will bisect each other such as :
VT = RV and UV = VS
From the diagram :
VT = 3x + 5y
RV = 6x + 3y
UV = 11y + 33 m
VS = 14y - 12 m
VT = RV and UV = VS
3x + 5y = 6x + 3y
3x - 6x = 3y - 5y
-3x = - 2y
3x = 2y
11y + 33 = 14y - 12
11y - 14y = - 12 - 33
-3y = - 45
y = 45/3
y = 15
From ;
3x = 2y
3x = 2*15
3x = 30
x = 30/3
x = 10
Help. What is the length of EF in the right triangle below.
Answer:
A
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to find EF
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
EF² + DF² = DE² ← substitute values
EF² + 12² = 18², that is
EF² + 144 = 324 ( subtract 144 from both sides )
EF² = 180 ( take the square root of both sides )
EF = → A
The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?
9514 1404 393
Answer:
(h, k) = (9, -8)
Step-by-step explanation:
The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...
(h, k) = (9, -8) . . . . the values of h and k
Math - Ratios
In one month, Jillian made 36 local phone calls and 20 long distance calls.
What was her ratio of local calls to long distance calls for that month?
A - 9 : 4
B - 2 : 1
C - 9 : 5
D - 3 : 2
The height, h, of a baseball in meters at t seconds after it is tossed out of a window is modeled by: h = -5t2 + 2t + 15. A boy shoots
at the baseball with a paintball gun. The trajectory of the paintball is given byh = 3t+ 3. Please answer the following two questions,
Make it clear which solution belongs with each question!
Q1: At what height will the paintball hit the baseball? Round your answer to the nearest thousandths place.
My son takes trumpet lessons. He has a choice of plans. Plan A requires that he pay a $210 annual fee and then pay $10 for a lesson. Plan B does not have a fee, but you pay $25 for a lesson. Write an equation to find out for how many lessons Plan A would equal Plan B if x = number of lessons?
Answer:
10x + 210 = 25x
Step-by-step explanation:
Plan A
Annual fee = $210
Payment per lesson = $10
If 'x' lessons to be taken, total cost = 10x + 210
Plan B
Annual fee = 0
Payment per lesson = $25
Total cost for 'x' lessons = $25x
Equation for the equal payments in both the plans for 'x' lessons,
10x + 210 = 25x
Pls help and show workings
(If you don’t know the answer please don’t respond)
Answer:
the required postulate which should be used here to make the triangles congruent is
C. ASA , okay
Step-by-step explanation:
because, one side and one angle of both triangles are equal and one of angles of the both triangles are vertically opposite angles , hence they are also equal , so we get an angle, a side and one another angle equal to corresponding side and angles of other triangles , so required postulate is C. ASA
I hope it helped
Answer:
ASA
Step-by-step explanation:
you have 2 angles and a side, so it could either be ASA or AAS.
ASA- the side is between 2 angles (image 1)
AAS- I'm not exactly sure how to describe it, but it's like 2 angles without a side between (image 2)
i don’t understand help
Answer:
rational as it can be expressed as the quotient of two integers
Answer:
that is a rational number
Step-by-step explanation:
A rational number is a number that can be express as the ratio of two integers. ... Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational.
Example: 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.) All integers are rational numbers.
An irrational number is real number that cannot be expressed as a ratio of two integers. ... The number "pi" or π (3.14159...) is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractio
~It's ~ me ~ again ~ can ~ you ~ help ~ me ~ out ~ once ~ again?~
A circular disc has a diameter of 24 centimeters. What is the area of the disc?
Answer please.............
Answer:
Option D: 1 is the correct answer.
Step-by-step explanation:
Given that:
n(x) = 7x+4
n(x) = 11
Putting n(x) = 11 in first function.
11 = 7x + 4
Now, we will subtract 4 from both sides
11 - 4 = 7x + 4 - 4
7 = 7x
7x = 7
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{7}{7}[/tex]
x = 1
Hence,
Option D: 1 is the correct answer.
y= 3x +5
Who looks better
What is the slope of the line through
(-8, 10) and (6, 10)?
Answer:
the slope is 0
Step-by-step explanation:
m=0
Answer:
0
Step-by-step explanation:
y2 - y1/ x2 - x1
10 - 10 = 0
6 - (-8) = 14
0/14 = 0
What is the mean absolute deviation? With these numbers.
2, 8, 10, 12.
Please help :)
Step-by-step explanation:
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Answer:
i think the answer is 3 I dont know if i'm right tho
Step-by-step explanation:
^-^ sorry if this is wrong but for me i did 3 on edge 2021
pam buys the following items: a shirt that costs 11.99, pants that cost 23.98, and a belt that costs 9.95. she has a coupon for 20% off the entire purchase. About how much will the three items cost?
Answer:
$9.18
Step-by-step explanation:
45.92/20%
=$9.18
Answer:
47
Step-by-step explanation:
If a man has $1500 in the bank and the annual interest rate is 5%, how much money will he have in the bank after 1 year?
Answer:
5/100×$1500= 75 dollar
as it is annual income we can solve the answer relative to year and considering it as 1 so the interest would be 75 annually