Given:
The function is
[tex]y=3x[/tex]
Domain of the function is {9, 15, 18, 21, 27}.
To find:
The range of the function.
Solution:
We have,
[tex]y=3x[/tex]
Domain is set of input (x-values) and range is the set of output (y-values).
Domain = {9, 15, 18, 21, 27}
For x=9,
[tex]y=3(9)=27[/tex]
For x=15,
[tex]y=3(15)=45[/tex]
For x=18,
[tex]y=3(18)=54[/tex]
For x=21,
[tex]y=3(21)=63[/tex]
For x=27,
[tex]y=3(27)=81[/tex]
So, the y-values are 27, 45, 54, 63, 81.
Therefore, the range of the function is {27, 45, 54, 63, 81}.
Note: Options are not in proper form.
last one! Please help me !!
Answer:
1.) A 2.) B
Step-by-step explanation:
Formula: a^2+b^2=c^2
4^2+3^2=5^2
Proof:
4^2=16
3^2=9
9+16=25
5^2=25
Find the value of x in the isosceles triangle
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
1. The temperature outside is -5°F.
Name the temperature that would make
the sum of the two temperatures 0°F.
I
Your anstver
Question 2
Answer:
1
Step-by-step explanation:
If a triangle has three sides with the lengths 20, 16, and 12, what are the angles?
Answer:
angle a = 53.13°
angle b = 36.87°
angle c = 90°
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculates ∠A, ∠B, ∠C based on given a, b and c.
∠A = arccos( b2 + c2 - a2 2bc )
= 0.9273 rad = 53.13° = 53.13°
∠B = arccos(a2 + c2 - b2 2ac )
= 0.6435 rad = 36.87° = 36.87°
∠C = arccos(a2 + b2 - c2 2ab )
= 1.5708 rad = π/2 = 90°
Evaluate -31-8+31−31−8+31minus, 31, minus, 8, plus, 31.
Answer:
-24
Step-by-step explanation:
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.
How many boys are in each grade?
Answer:
12 boys
Step-by-step explanation:
I believe the answer is 12 boys. I hope this helps!
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-3)°
(x+9)°
Answer:
14
Step-by-step explanation:
5x-3+ x+9 + 90= 180
6x+ 96=180
6x=180-96
6x=84
x=84/6
x=14
Please help me answer this
Answer: 7/8
10-2/12-4= 7/8
Step-by-step explanation:
Answer:
the answer might be number 3
mark my qustions brainly pleaseeeeeeeeeeeeeeeeeeeee
Answer:
what do you mean
Step-by-step explanation:
A box without cover is to be constructed from a rectangular cardboard measuring 6 cm by 10 cm by cutting out four square corners of length x cm. Let V represent the volume of the box. Express the volume V of the box in terms of x, writing the equation in factored form.
Answer:
60xcm^3
Step-by-step explanation:
6 times 10 times x
60x
I need help with this problem
Answer:
6/5
Step-by-step explanation:
Please help I don’t understand
Answer:
Step-by-step explanation:
so many isosceles triangles
y = 4 .. just by inspection.. we can see
SOH CAH TOA <= ask me about this if you don't get it
Cos(x) = Adj / Hyp
we don't know the Hyp this time so solve for that
Hyp = Adj / Cos(x)
Hyp = 4 / Cos(45)
Hyp = 4 / [tex]\sqrt{2}/2[/tex]
maybe you know.. but i'll just remind you to bring the fraction up from the denominator... invert and multiply
Hyp = 4 * 2/[tex]\sqrt{2}[/tex]
Hyp = 8/ [tex]\sqrt{2}[/tex]
also we are supposed to write as a decimal rounded to the nearest 10th
Hyp = 5.66
Kristin conducted an experiment in her science class to see how water drained from a contamer The given graph shows the data
that Kristin collected as a function of the height of the water over time
Krisin's two most accurately plotted points for the rate of flow of the water occurred when the height of the water was
fifty-five centimeters after four seconds and when the height was twenty centimeters after fourteen seconds
Use these two data points to determine the equation for the line of best fit for Krisin's experiment
Answer:
y = -3.5x + 69.
Step-by-step explanation:
Is 16 bigger than 16 11/16?
Which description best Fitz the graph?
PLS HELP ME NEED THIS ASAP
Answer: always decreasing
Step-by-step explanation:
Since it goes down without going back up it is always decreasing
Plz help it due In 20 mins
Answer:
Slope of line A= -1/3
B=-1
C= -5/4
Step-by-step explanation:
Use: slope m= y-y1/ x-x1
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answer:
again i can not see the given point
Step-by-step explanation:
1.The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and \$7,100is collected. How many adults and how many children were at the fair?
Answer:
568 ADULTS
284 CHILDREN
Step-by-step explanation:
5C+10A=7100
A=2C
5C +10(2C)=7100
5C+20C=7100
25C=7100
C=284
A=2C
A=568
BRAINLIEST???
Pls help!!! Pls and thank you!! So much
Answer:
I solved it for u!
Hope it helps
Step-by-step explanation:
Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it
So here angle 3 = 64°
So angle 1= 64°
PLEASE HELP THANKS!!!
Answer:
235
Step-by-step explanation:
area of one square=
180
area of other square=
11 times 5 =55
55+180=235
please mark be as brainliest
Answer:
[tex]a=20cm\\b=14cm[/tex]
[tex]a_{1} =11cm\\a_{2}=a-a_{1} =20cm-11cm=9cm\\[/tex]
[tex]b_{1} =9cm\\b_{2}=b-b_{1}=14cm-9cm=5cm[/tex]
[tex]S=S_{1} +S_{2} =154cm^{2}+81cm^{2}=235cm^{2}\\S_{1}=a_{1} *b=11cm*14cm=154cm^{2} \\S_{2} =a_{2} *b_{1} =9cm*9cm=81cm^{2}[/tex]
[tex]S=235cm^{2}[/tex]
Donny has $40 saved in his savings account and wants to earn more. He begins babysitting for the neighbors and gets paid $15 per hour. He seves all of his earnings 150 136 120 a Create a graph to show his total money saved from when he started through 10 hours of babysitting money saved (dollars) b. What is the slope of the ine? 88888889 c. What does the slope meen in this situation? 5 6 7 8 9 üme babysitting (hours) d. At what point does the Ine cross the vertical () ats? e. What does the vertical intercept mean in this situaton?
Answer:
a.) since he already has 40 in his savings account, start the line at (0,40) on the y-axis and then go up 15 every hour
b.) 15 or 15/1
c.) for each hour Donny spends working, the amount of money he has go up by 15
d.) (0,40)
e.) the vertical intercept or (y-intercept) is (0,40) because this is how much money Donny already has in savings
Students planted 2(3x + 4y) amount of trees on Saturday and then 3(x + 8) amount of trees on Sunday. What is the total amount of trees that the students planted? *
Answer:
(9x + 8y + 24) trees
Step-by-step explanation:
The total amount of trees the students planted is calculated as:
Amount of trees planted on Saturday + Amount of trees planted on Sunday
= 2(3x + 4y) + 3(x + 8)
= 6x + 8y + 3x + 24
= 6x + 3x + 8y + 24
= 9x + 8y + 24
Hence, the total amount of trees the students planted was (9x + 8y + 24) trees
Someone please do this!
Answer:
£518.42
Step-by-step explanation:
can I please have some help
Step-by-step explanation:
6.-3
8.-36
10.11
make it braintliest please
Answer:
6) q = -3
8) d = -4
10) y = 10
Step-by-step explanation:
6) -7q = 21
divide by -7 on both sides
q = -3
8) -1/3d = 12
divide both sides by -1/3
d = -4
10) -88 = -8y
divide both sides by -8
10 = y
or
y = 10
I need help again pls.
Answer:
4/3
Step-by-step explanation:
sohcahtoa
tan = opposite/adjacent
tanX = 32/24 = 4/3
A rectangle is 2 times longer than it is wide. The diagonal of the rectangle is 15 cm. What is the width of the
rectangle?
what is the y-intercept for f(x)=x2-8x+15
Answer:
(0, 15)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationThe y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
Step 1: Define
f(x) = x² - 8x + 15
Step 2: Find y-intercept
Substitute x = 0: f(0) = 0² - 8(0) + 15Exponents: f(0) = 0 - 8(0) + 15Multiply: f(0) = 0 + 15Add: f(0) = 15Rewrite: (0, 15)what is the answer for 2/3 z = -6
Answer:
z=−9
Step-by-step explanation:
Let's solve your equation step-by-step.
2/3z =−6
Step 1: Multiply both sides by 3/2.
(3/2)*(2/3z)=(3/2)*(−6)
z=−9
plz give brainlyest
need help asp pls The 8 students in Mrs. Howard's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
14, 11, 16, 10, 6, 5, 5, 7
Answer:
what's the question thougu
22 lb/day ≈ ____________ oz/h
Answer:
there are 16 ounces in a pound and 24 hours in a day.
22*16= 352oz/day
352/24 = 14.66666 oz/h
i would round up because it has the about symbol. so your answer is:
15 oz/h
Step-by-step explanation:
i multiplied 22 by 16 to find out how many ounces were in 22 pounds.
i divided 352 by 24 because there's 24 hours in a day and i needed how many ounces for one hour.
Answer:
122 oz a day is the aswer
