Which of the following represents the range of the function table?
A. {-3, 1, 7}
B. {-6, -3, -2, 1, 5, 7}
C. {0, 1, 2, 3, 4, 5, 6}
D. {-6, -2, 5}
The range of the given table would be set of all possible y-values as {-6, -2, 5} which is the correct answer would be an option (D).
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
We have been given that table as:
x y
-3 -6
1 -2
7 5
As per the given table, the required solution would be as:
The range of a function is the set of all possible output values of the function. In this case, the output values of the function are the y-values in the table. The range of the function table is the set of all possible y-values, which in this case is {-6, -2, 5}.
Therefore, the range of the function table is therefore -6 to 5.
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4.1 graphing linear equations worksheet
Given that ΔABC ∼ΔDEF, m∠A = 108 degrees and m∠E = 40 degrees. Find m∠F. Type ONLY the number of degrees.
Answer:
∠F = 32°
Step-by-step explanation:
ΔABC & ΔDEF are similar triangles. So, corresponding angles of both triangles are congruent
∠D = ∠A = 108
∠B = ∠E = 40
∠C = ∠F
In ΔDEF,
∠D +∠E + ∠F = 180 {Angle sum property of triangle}
108 + 40 + ∠F = 180
148 +∠F = 180
∠F = 180 - 148
∠F = 32°
what's 4/6 + 5/8 ? can u write it out so i can show my work?
Answer:
2 and 3/8
Step-by-step explanation:
4/6 = 6/8 so 5/8 + 6/8 = 2 and 3/8
help needed asap ! :)
Answer:
9
hope it's helpful ❤❤❤❤
THANK YOU
#
Answer:
Step-by-step explanation:
find the distance between the points (4,22) and (20,10)
Answer: (16,-12)
Step-by-step explanation: just cuz... just listen linda
Answer:
(16,-12)
Step-by-step explanation:
I used a graph to get this answer
The value of k for which x²-4kxy+4y²=0 represent a pair of straight is?
Please help me!!
Answer:
k=1 k= -1
Step-by-step explanation:
hello :
here is an solution
9 sec x + 9 tan x = 9
Answer:
Lowest root is 0 degrees.
Step-by-step explanation:
divide through by 9:
sec x + tan x = 1
sec^2x = 1 + tan^2 x so
√(1 + tan^2x) + tanx = 1
√(1 + tan^2x) = 1 - tanx
Squaring both sides:
1 + tan^2 x = 1 - 2 tanx + tan^2 x
1 = 1 - 2 tan x
2tanx = 0
x = 0 degree.
Evaluate the expression for p=3.
4p=
Answer:
12
Step-by-step explan
Answer:
12
subsitute 3 for p and multiply :)
3 x 4 = 12
Write an equation in slope intercept form for: m = - 1 and b = 2
Answer:
y=-1x+2
or
y=-x+2
y=mx+b
substitute
you get y=-1x+2
I need help please I’m having a breakdown
Damaris owns a small business and is hiring a staff of employees. Each full-time employee will be paid a yearly salary of
$32,000. Each part-time employee will be paid a yearly salary of $15,000. Damaris has $245,000 allocated for employees' yearly
salaries. If Damaris hires 5 part-time employees, how many full-time employees can she afford to hire?
Answer: 5
Step-by-step explanation:
I NEED HELP WITH THE CHART!!! URGENT HELP PLEASE!!!!!!!!!!!!!!!!
60 people attend a game night. Everyone chooses to play chess, a two-player game, or cribbage, a four-player game. All 60 people are playing either chess or cribbage.
Complete this table showing some possible combinations of the number of each type of game being played:
Answer: I got 14, 9, 0, then 14. but you might want to wait on someone to double check that
Step-by-step explanation:
Answer:
Step-by-step explanation:
mr.sanchez bought 2 magazines for $9.95 each and 1 book for $14.95 if the sale tax is 6% what is the total cost mr.sanchez purchase
(9.95x2)+14.95)=34.85
34.85x.06=2.09
34.85+2.09=36.94
so the total cost is 36.94$
what is 9+p when p=20?
Answer:
your answer should be. 9+20=29
In a city, there are 8 public and 3 private swimming pools. On weekends, 5 of the pools are open.
Brendan says that the ratio of pools open on weekends to the total number of pools is 5:8. Cyndi says the ratio of
pools open on weekends to the total number of pools is 5:16.
*
Is either student correct? Use the drop-down menus to complete the statements.
est
ugh cle
st call
IS
There are Choose... pools open on the weekend out of the Choose... total pools. Choose...
correct. The ratio is Choose... to Choose... v
ou are
first !
olete
Will Be
suger
36 to air plain crashes
d
d
d
d
Two customers went to an auto body shop. The first customer paid $561 for and oil change and four new tires. The second customer paid $303 for an oil change and two new tires. What is the cost of an oil change?
78
Step-by-step explanation:
teleferico de la linea roja posee una longitud de 32 km y avanza a una velocidad de 6 m/s supongamons que subes a el alto y avanzas 50 segundos y el teleferico se detiene y comienza a retroceder 3 segundos luego avanza nuevamente hacia adelante por 5 minutos y nuevamente retrocede durante 2 minutos para luego volver a avanzar a su parada final en los siguientes 10 minutos ¿ cuanto tiempo habra transcurrido?
Answer:
brooooo ahí te pregunta tiempo no distancia así que son exactamente 13 minutos con 47 segundos. un gusto en ayudar
The total time elapsed will be 1073 seconds.
What is expression in mathematics?An expression in mathematics is a combination of terms both constants and variables.
Given is that the red line cable car is 32 km long and advances at a speed of 6 m/s. You go up to the top and -
Advance for 50 seconds and the cable car stops.Begins to go backwards for 3 seconds.Then it advances again for 5 minutes.Then again it goes backwards for 2 minutes.Then it advance again to its final stop in the next 10 minutes.Time elapsed in first advancement = 50 seconds.
Total time after second backward motion = 50 + 3 = 53 seconds.
Total time after third forward motion = 53 + 300 = 353 seconds
Total time after fourth backward motion = 353 + 120 = 473 seconds
Total time after fifth forward motion = 473 seconds + 600 = 1073 seconds.
Therefore, the total time elapsed will be 1073 seconds.
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{Question in english -
The red line cable car is 32 km long and advances at a speed of 6 m/s. Suppose you go up to the top and advance for 50 seconds and the cable car stops and begins to go backwards for 3 seconds, then it advances again for 5 minutes. and again it goes backwards for 2 minutes to then advance again to its final stop in the next 10 minutes, how much time will have elapsed?}
Lucy has 30 bean plants, 24 tomato plants, and 18 pepper plants. She wants to put the plants in rows with only 1 type of plant in each row. Each row will have the same number of plants. How many plants can Lucy put in each row?
30 because the max amount of plants is 30. so you would need 2 more on tomato nd 12 more on pepper
In the figure below, m_1=(x-9° and m2 =6xº.
Find the angle measures.
Help!!!!
Answer:
(x-9)°+6x=180°[by linear pair]
7x-9=180°
7x=180°+9
7x=189°
x=189/7
x=27
(x-9)°=27-9=18°
(6x)°=6×27=162°
The angle measures are 18 degrees and 162 degrees.
What is Angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
In the given figure ∠1=x-9 and ∠2=6x
The sum of ∠1 and ∠2 is 180 degrees by linear pair.
∠1 +∠2 =180
x-9+6x=180
Add the x variable terms
5x-9=180
Add 9 on both sides
5x=189
Divide both sides by 5
x=27
Now substitute value of x in angle 1 and angle 2.
∠1=x-9=27-9=18 degrees
∠2=6x=6(27)=162 degrees.
Hence, the angle measures are 18 degrees and 162 degrees.
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Charlotte read 1 3 of a book in the morning, and she read some more at night. By the end of the day, she still had 2 5 of the book left to read. How much of the book did Charlotte read at night?
HELP ME PLEASE!!!ITS DUE TODAY!!IF YOU DO NOT KNOW DONT ANSWER PLEASE!!!;(
Step-by-step explanation:
When dealing with graphs, involving points in between numbers, we have to carefully look at the x and y axis.
On the graph, the y-axis is going by 2s: 0, 2, 4, 6, 8, 10
On the x-axis, it's going by 1s: 0, 1, 2, 3, 4, 5, 6
Between 2 and 4 is 3
Between 4 and 6 is 5
Between 6 and 8 is 7
Between 8 and 10 is 9
Between 2 and 3 is 2.5
Between 3 and 4 is 3.5
Between 4 and 5 is 4.5
Between 5 and 6 is 5.5
Between 6 and 7 is 6.5
Between 7 and 8 is 8.5
Between 8 and 9 is 8.5
Between 9 and 10 is 9.5
Between 10 and 11 is 10.5
You get to see the pattern going on here...
On point E, we can see that the x-axis is 2.
Now on the y-axis, it is between 6 and 7. But if you look closely, you'll see that it's not on the line, that indicates 6.5.
So we find the median...
6, 6.1, 6.2, 6.3, 6.4, 6.5 6.2 and 6.3 are on the medium
[tex]\frac{6.2 + 6.3}{2}[/tex] = 6.25 Answer on E: (2, 6.25)
On point F, we can see that the x-axis is 3.
On the y-axis, it is between 8 and 10, which would be 9, BUT, look closely that it's also between 9 and 9.5.
The answer would be 9.5, but it is SLIGHTLY below 9.5, so I think it's 9.4
Answer on F: (3, 9.4)
On point G, the x-axis is between 3 and 4, so it's 3.5.
On the y-axis, we know it's going by 2s. We can see that G is between 10 and 12, so it would be 11. Because it is on that thin line, as you can see.
Answer on G: (3.5, 11)
Phyllis invested $13,000, a portion earning a simple interest rate of 5¼% per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $672.50. How much money did she invest at each rate?
Answer:
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Step-by-step explanation:
Formula for the simple interest is,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
Here, P = Principal amount
r = rate of interest
t = Duration of investment
Let Phyllis invested amount (at 5.25% rate of interest) = $x
Therefore, Interest on this amount,
Interest = [tex]\frac{5.25\times x}{100}[/tex]
= $0.0525x
If he invested the rest amount $(13000 - x) at the rate of 5%,
Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]
= $(650 - 0.05x)
Interest earned on total amount = $672
Therefore, $0.0525x + $(650 - 0.05x) = $672.5
0.0025x + 650 = 672.5
0.0025x = 22.5
x = $9000
Rest amount = 13000 - 9000
= $4000
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
A line passes through the point (8, -2) and has a slope of 5/4. Write an Equation in point-slope form for this line
Answer:
y=5/4x-8
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
General Point Slope Form is:
[tex]y-y_1=m(x-x_1)\\\\\rightarrow \text{m - slope}\\\\\rightarrow (x_1,y_1)\text{ - given point}[/tex]
We are given the slope of (5/4) and the point of (8, -2).
Replace the variables with their appropriate values:
[tex]x_1 \rightarrow8\\\\y_1\rightarrow-2\\\\m\rightarrow\frac{5}{4}\\\\\text{Replace } x_1, y_1, \text{and } m \text{ with the appropriate values.}\\\\y-y_1=m(x-x_1)\rightarrow y-(-2)=\frac{5}{4}(x-8)\\\\\text{Simplify:}\\\\y-(-2)=\frac{5}{4}(x-8)\rightarrow y+2=\frac{5}{4}(x-8)\\\\\\\text{Our final answer is:}\\\\ \huge\boxed{y+2=\frac{5}{4}(x-8)}[/tex]
Hope this helps.
ill give top if u answer correct
Which other expression has the same value as (-14)-(-8)
Answer choices:
(-14)+8
14-(-8)
14+(-8)
(-14)+(-8)
Answer:
the last one (-14)+(-8)
Step-by-step explanation:
-14 - -8 any time you have minus a negative it's a + sign
so
-14+8 therefore it's the first one.
help me please - i'll give you 10 points.
Answer:
a.
Step-by-step explanation:
this is a y = mx + b equation
the “B” is the y-intercept. So look where the line crosses the 6 axis. The equation says -1. Right away, there are only two answers that could possibly be it. A and B. The Lines both cross at -1 on the y-axis.
the ”mx“ part of the equation is the slope. Slope is the change in y over the Change in x.
in other words:
y1-y2
———
x1-x2
another thing is that slope in this equation is negative. This means the line is decreasing or going/pointing down. The only possible answer is a.
Write an equation in slope intercept for that passes through (-3,3) and is parallel to y=3x-2
Could someone help with Factories 2x-14
It’s math I suck at it please help
Answer:
24 over 10
Step-by-step explanation:
I did it in my head
Find all the zeroes of g(x)=4x^4+4x^3-11x^2-12x-3
Answer:
The zeroes of [tex]g(x)=4x^4+4x^3-11x^2-12x-3[/tex] are [tex]-\sqrt{3}, -\frac{1}{2}, \sqrt{3}[/tex], or approximately [tex]-1.732, -0.500, 1.732[/tex].
Step-by-step explanation:
Graphical calculator way (probably intended)By inputting the function in a graphical calculator we can see that the roots of the graph of [tex]g[/tex] are about [tex]x=-1.732, x = 0.500, x = 1.732[/tex] (make sure you click on the points of interests).
Algebraic way (probably not intended because of obscure factoring)Notice that [tex]g(x) = 4x^4+4x^3-11x^2-12x-3 = (2x-1)^2(x^2-3).[/tex] So the roots can be calculated with [tex](2x-1)^2 = 0 \vee x^2 - 3 = 0[/tex], yielding [tex]x = -\frac{1}{2} \vee x = \pm\sqrt{3}[/tex].
