Answer:
A) f(x) = 2x + 3
B) f(x) = x - 5
C) f(x) = 2x + 4
Step-by-step explanation:
To find - Please write the function(x) from the given rules:
A) Twice the input value plus three.
B) The input value minus five.
C) To get the output, multiply the input by two, then add four.
Proof -
Let us assume that the input = x
The output = f(x)
Now,
A)
f(x) = 2x + 3
B)
f(x) = x - 5
C)
f(x) = 2x + 4
Does 5/8 and 12/20 form a proportion
What is the output, or y-value, when you input x = -2 into the function:
y = x5 + 63
Answer:
y = 31
Step-by-step explanation:
Given
y = [tex]x^{5}[/tex] + 32 ← substitute x = - 2
y = [tex](-2)^{5}[/tex] + 63 = - 32 + 63 = 31
This triangle-based oblique pyramid has a volume of 13 cm 9 cm 4 cm 3 cm What is the height h of the pyramid?
Answer:
6.5
Step-by-step explanation:
Answer:
6.5 centimeters (proof below!)
Step-by-step explanation:
Select all the equations that have no solution and state your reasoning as of "why" they do not have a solution. +6=5+ x+6=5+x −2(−3)=-2+6 −2(x−3)=-2x+6 4−4=3+2 4−4x=3x+2 4(+1)=3(+2) 4(x+1)=3(x+2) 5−3=-3+4 5−3x=-3x+4
Equations:
[tex]x+6=5+x[/tex]
[tex]-2(x-3)=-2x+6[/tex]
[tex]4-4x=3x+2[/tex]
[tex]4(x+1)=3(x+2)[/tex]
[tex]5-3x=-3x+4[/tex]
Answer:
[tex]x+6=5+x[/tex]
[tex]5-3x=-3x+4[/tex]
Step-by-step explanation:
Given
[tex]x+6=5+x[/tex]
[tex]-2(x-3)=-2x+6[/tex]
[tex]4-4x=3x+2[/tex]
[tex]4(x+1)=3(x+2)[/tex]
[tex]5-3x=-3x+4[/tex]
Required:
Which have no solution
[tex]x+6=5+x[/tex]
Subtract x from both sides
[tex]x -x+6 = 5 + x - x[/tex]
[tex]6 = 5[/tex]
[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]
[tex]-2(x-3)=-2x+6[/tex]
Open bracket
[tex]-2x + 6 = -2x + 6[/tex]
Both sides are equal.
Hence, there is an [tex]Infinite\ Number[/tex] of Solutions
[tex]4-4x=3x+2[/tex]
Collect like terms
[tex]-3x - 4x = 2 - 4[/tex]
[tex]-7x = -2[/tex]
Solve for x
[tex]x = \frac{-2}{-7}[/tex]
[tex]x = \frac{2}{7}[/tex] --- This has a solution
[tex]4(x+1)=3(x+2)[/tex]
Open brackets
[tex]4x + 4 = 3x + 6[/tex]
Collect like terms
[tex]4x-3x = 6 - 4[/tex]
[tex]x = 2[/tex] --- This has a solution
[tex]5-3x=-3x+4[/tex]
Add 3x to both sides
[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]
[tex]5 = 4[/tex]
[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]
In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates units of the hypotenuse of this triangle
Given:
The vertices of a right triangle are:
[tex](-3,4),(3,4),(3,-4)[/tex]
To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]
[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]
[tex]AB=\sqrt{(6)^2+0}[/tex]
[tex]AB=\sqrt{36}[/tex]
[tex]AB=6[/tex]
Similarly,
[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]
[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]BC=\sqrt{64}[/tex]
[tex]BC=8[/tex]
And,
[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]
[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]AC=\sqrt{36+64}[/tex]
[tex]AC=\sqrt{100}[/tex]
[tex]AC=10[/tex]
Now, taking sum of squares of two smaller sides, we get
[tex]AB^2+BC^2=6^2+8^2[/tex]
[tex]AB^2+BC^2=36+64[/tex]
[tex]AB^2+BC^2=100[/tex]
[tex]AB^2+BC^2=AC^2[/tex]
By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
A deck of 52 cards is spread out face down on a table. You randomly choose one card. What is the
likelihood you will choose the three of hearts?
Answer:
1/52 OR 0.01923076923 (unusual)
Step-by-step explanation:
So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.
Hope that helps!
Which of the following statements is FALSE about the circumference of a circle?
PLEASE HELP
Answer: It's C=πr2
Step-by-step explanation: I took the test
I need help ASAP please
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
c = 3[tex]\sqrt{2}[/tex]
Brooke watched 1/3 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1/5 of the movie left to watch. How much of the movie did Brooke watch at night?
Answer:
.466666666 or 46.66666% (the 6s go on forever)
Step-by-step explanation:
1/3 + 1/5 = 53.33333%
1 - .53 = 46.66666% is how much she watched last night
Fill in the blanks with one of the options below.
Given
Reflexive Property of Congruence
Definition of a Midpoint
Definition of an Equilateral Triangle
Answer:
4 ) reflexive property of congrunce
5 ) Definition of Equilateral Triangle
Step-by-step explanation:
4) the lines are equal to each other
5) if one triangle is equal to another triangle than they must be the same triangle
help me plzzzzzzzzzzzzzzzzzzz
Answer:
-5
Step-by-step explanation:
1*1=1
1-6= -5
Hope this helped!
PLEASE SOMEONE!!HELP!! I need the answer right now
Answer:
m = -1, b = 5.
Step-by-step explanation:
We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.
WILL GIVE BRAINLIEST
If a = 24 ft, b = 31 ft, and c = 37 ft, what is the area of the backyard? help me
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 27528 ft^3
Explanation:
24 x 31 x 37 = 27528
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Find the circumference of the given circle. Use 3.14 for pi, and round your answer to the nearest tenth.
A) 59 in
B) 29.5 in
C) 19.2 in
D) 554.3 in
Answer:
Sorry, I can't complete this without knowing the radius, or diameter.
Step-by-step explanation:
The area of a triangle is 36 sq cm. The triangle's height is 8 cm. What is the length of the base of the triangle?
Answer:
9 cm
Step-by-step explanation:
Given :
Area, A = 36cm²
Height, h = 8cm
Using the relation :
Area, A of triangle :
A = 1/2 * base * height
36 = 0.5 * base * 8
36 = 4 * base
base = 36 / 4
Base = 9 cm
Length of base is 9cm
Since Tammi exercises a lot, she was told that she needs to drink at least 3 quarts of water every day. How many cups of water is this?
16 cups
8 cups
4 cups
12 cups
Answer:
3 quarts of water is 12 cups.
Step-by-step explanation:
1 quarts is 4 cups
Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points
Answer:
x=5 and y=16
Step-by-step explanation:
x = number of pants
y = number of shirts
Set up equations:
25x + 14.5y = 357x + y = 21Set the equations up as a system:
25x+14.5y=357
x+y=21
Steps:
Solve the system by substitution.
(You can also solve this system by elimination.)
25x + 14.5y= 357
x + y = 21
Step 1: Solve x+y=21 for x:
(x + y) − y = (21) − y(Subtract y from both sides)
x = −y + 21
Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:
25x + 14.5y = 357
25(−y + 21) + 14.5y = 357
−10.5y + 525 = 357 (Simplify both sides of the equation)
(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)
−10.5y = −168
−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)
y = 16
Step 3: Substitute 16 for y in x = −y + 21:
x = −y + 21
x = −16 + 21
x = 5 (Simplify both sides of the equation)
Answer:
x=5 and y=16
What is the length of the circumference of a hula hoop with a diameter of 32 inches?
Use π = 3.14 in your calculations.
1Points
A
16 in
B
100.48 in
C
200.96 in
D
803.84 in
Answer:
B
Step-by-step explanation:
C = πd = 3.14 * 32 = 100.48in
the weight of 65 books is 13 kg what is the weight of 80 Such books
La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.
can someone pls help me
Answer:
+/-11
Step-by-step explanation:
It's plus or minus eleven
Which distribution is symmetrical (bell shaped)?
A)
B)
L
1
o
D)
Answer:
D
Step-by-step explanation:
D starts low on both sides but is highest in the middle
ALGEBRA 1:
FIND THE PRODUCT OF THE FOLLOWING:
(2x+6)(2x-6)
please somebody help me, if you’re correct i’ll give you an extra 50 points for helping. please do not use my question for points as i am failing and truly need help i’m so stressed lol.
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay?
Answer:
$80
Step-by-step explanation:
10x + 30 = y
He wants to rent it for 5 hours, so we replace x with 5.
10(5) + 30 = 80
He should expect to pay $80 for the rental.
2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j
what is 40% off of $400.00
Answer:
$240
To find 40% of $400:
40% (or .4) • $400 = $160
**$160 is 40% of 400**
To find 40% **OFF** of $400:
$400 - $160 = $240
How many solutions does this equation have?
–1 + 11 − h = –20 + 9h
4) What is the measure of the intercepted arc with a central angle of 72®?
Answer:
EGQ ERKNG BQEG'QERJ
Step-by-step explanation:
Help meeeee I neeeedd this ASAP please
Answer is in the file below
tinyurl.com/wpazsebu
Answer:
choice 4) all of the angles are supplementary to each other since any two added together = 180°
Step-by-step explanation: