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
Tell me the slope AND the y-intercept of the equation 6x + 2y = 10. *
finding side length of the 90-degree angle triangle
Answer:
x = 4
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
[tex]\sqrt{2}[/tex] x = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
x = 4
1. The point (4, - 2) is the vertex of the graph of a quadratic function. The points (8,6)
and (2,0) also fall on the graph of the function. Complete the graph of this
quadratic function by first finding two additional points on the graph.
2
0
10
10
9
-8
-4
-6
-2
4
6
8
10
-2
-4
-6
-107
Part A:
What is the y-intercept of the graph?
Part B:
What are the x-intercepts?
Part C:
Find the interval on which the rate of change is always positive.
Part D:
What is the sign of the leading coefficient for this quadratic function? How
do you know?
El
Answer:
It doesn't make sense and their no picture that provides us with clear evidence on how to answer this better then how your explaing
Step-by-step explanation:
I don't know how to know how to answer this lol, because I need a better explination
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
An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal
Answer:
The angle the aero plane makes with the horizontal is approximately 20.925°
Step-by-step explanation:
The given parameters are;
The distance the aero plane flies = 5.6 km
The elevation to which the aero plane flies = 2 km
The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)
By the trigonometric ratio for the sin of the angle, θ, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]
Therefore, the angle θ the aero plane makes with the horizontal is given as follows;
[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]
The angle the aero plane makes with the horizontal ≈ 20.925°.
wilbur has sold 100, 42,87, and 66 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 72 sales per month?
Answer:
59
Step-by-step explanation:
1) so you start with the mean being 72x5=360
2)100+42+87+66=295
3) 360-295=65
(you get the 5 from the amount of numbers there are) P.S sorry if I'm wrong or this doesn't help
Iris takes her clothes to the laundromat every 6 days, and
Eddie takes his clothes to the laundromat every 8 days? They
both go to the laundromat today.
How many days pass until the next time they take their clothes to
the laundromat on the same day again
23 days would pass by and they would both go to the laundromat on the 24th day.
What are the lengths of side AB and side BC?
Answer: AB=20, BC=14
Step-by-step explanation:
set AB together with the side congruent to it (which is DC)
3x-7=x+11
subtract x and add 7 to both sides
2x=18
divide both sides by 2
x=9
plug 9 in for AB.
3(9)-7
27-7=20.
now do the same for BC
Answer:
AB = 20
BC = 14
Step-by-step explanation:
ABCD is a parallelogram
Opposite sides of a parallelogram are equal.
Therefore,
AB = DC
3x - 7 = x + 11
3x - x = 11 + 7
2x = 18
x = 18/2
x = 9
AB = 3x - 7 =3*9 - 7 = 27 - 7 = 20
7y - 7 = 3y + 5
7y - 3y = 7 + 5
4y = 12
y = 12/4
y = 3
BC = 7y - 7 = 7*3 - 7= 21 - 7 = 14
HELP THIS IS TIMED !!!!
Answer:
55,300
Step-by-step explanation:
Every year it goes up 2,400
2,400x4=9,600
9,600+45,700=
55,300
Which is the best first step and explanation for solving this system of equations 3x + y = 7 x + y = 3
Answer: Add the two equations together to eliminate y
Step-by-step explanation:
X+y=3
4x-y=7
I would use elimination since one equation has +y and one equation has -y
Add the two equations together
X+y=3
4x-y=7
-------------------
5x = 10
A picture frame can hold a photograph that is 16 inches long and 12 inches wide
What is the area of the photo that fits the frame?
Answer:
16 X 12 = 192 squared inches
If y = 4x + 3 is changed to y = 7x-1, how would the graph of the new function compare with the first
one? Describe its steepness and how it might shift.
i need help with this
Answer:
We conclude that:
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}[/tex]
Least Common Multiple of x+4, x+6: (x+4) (x+6)
Adjusting fractions based on the LCM
[tex]=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}[/tex]
since the denominators are equal, combine the fractions:
[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
so the expression becomes
[tex]=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]
[tex]=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]
[tex]=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}[/tex]
simplify
[tex]=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Therefore, we conclude that:
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
I NEED HELP PLSS
Functions of composition~
A telephone poll asked people whether they like playing golf. Of the 100 people polled, 4 like playing golf. What percentage of the people polled like playing golf?
Answer:
4%
Step-by-step explanation:
The percentage of the people polled like playing golf =( people that liked playing golf / total number of people polled) x 100
(4/100) x100 = 4%
PLEASE HELP I WILL MARK BRAINLY
Answer:
The answer is C
Step-by-step explanation:
We apply the given formula: y= 2x + 1.
0 x 2 = 0 + 1 = 1, so A is incorrect.
1 x 2 = 2 + 1 = 3, C is the only one with 3 as the second number, so C is correct
Which statement is true ?
Answer:
the second one
Step-by-step explanation:
Brittney attempted to order a set of numbers from least to greatest
-2.9 72/80 2.979 3 1/5 π
what does Brittney need to do to make the order correct?
She needs to convert all the numbers be be the same type ( fraction or decimal).
With the numbers she has it would be easiest to convert all the numbers to decimals.
72/80 = 0.9
3 1/5 = 3.3
Pi = 3.14
Now she can arrange the decimals in order:
-2.9, 0.9, 2.979, 3.14, 3.2
She needs to switch 3 1/5 and pi
Answer:
3 1/5 is tha one
Step-by-step explanation:
What is the factored form of 343 + x^6?
Answer:
[tex](x^2+7)(x^4-7x^2+49)[/tex]
Step-by-step explanation:
Factor x^6+343, and you will get the answer above. Hope this helps :)
what is 46274648354846374 times 77466
Find the Mean,
3, 9, 13, 8, 10, 2
Mean
can someone help me?
Answer:
7.5
Step-by-step explanation:
3 + 9 + 13 + 8 + 10 + 2 = 45
There are 6 numbers so we divide 45 by 6
45/6 = 7.5
WILL MARK BRAINLIEST TO THE PERSON WITH THE BEST ANSWER!!! PLEASE ANSWER ALL QUESTIONS AND PLEASE SHOW FULL SOLUTIONS! PLEASE MAKE SURE YOU DID IT RIGHT. I NEED EVIDENCE THAT SHOWS WHY ITS THE ANSWER. THANK YOU.
Hey there!
Here is a graph of the points:
A scatterplot is a graph, but the points won't be able to connect in a straight line, and they have no relation.
A line of best fit is a line that goes evenly through the points, or as best as it could.
a parallelogram has a size of 8ft and 6ft with an area of 54 ft squared. what is the length of the altitude to the 8ft base
A. 6.75
B.9
C.24
D.27
Answer: may i see a picture then I can help
Step-by-step explanation:
Enter the correct 4 digit code (no spaces)
Answer:
9999
Step-by-step explanation:
Answer:
6969
Step-by-step explanation:
I need help please. Thank you
Answer:
try 4 inches
Step-by-step explanation:
since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.
what is the area of this circle pls help
Answer:
answer is 113.04 [tex]cm^{2}[/tex]
Step-by-step explanation:
Ap ex: What is the solution to this system of equation?
y = x - 4 y = -0.5x + 8
a. (4,2)
b. (8,4)
c. (4,8)
d. (2,4)
Answer:
x = 8, y = 4
Step-by-step explanation:
y = x - 4
y = -0.5x + 8
y = y
x - 4 = -0.5x + 8
x + 0.5x = 8 + 4
1.5x = 12
x = 12/1.5
x = 8
To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)
y = (8) - 4
y = 4
OR
y = -0.5(8) + 8
y = -4 + 8
y = 4
Answer these two and get marked as barinliest!!!
Answer:
Step-by-step explanation:
first one A and second one C
Brent spends $ 420 on his monthly bills. Of this amount, 15 % is for utilities, 1/5 is for Internet service, and 1/7 is for phone service. If the rest of the total amount is for food, how much money does Brent have for food?
Answer: $213
Step-by-step explanation:
First find out how much is spent on the other things:
Utilities
= 15% * 420
= $63
Internet services
= 1/5 * 420
= $84
Phone service
= 1/7 * 420
= $60
The amount left for food is therefore:
= 420 - money spent on other things
= 420 - 63 - 84 - 60
= $213
HELP ASAP I’ll GIVE BRAINLIEST :))))
Which of the following does -
Answer:
Step-by-step explanation:
A