Complete the tables to determine if the expressions are equivalent. If the expressions are equivalent, name the properties that make them equivalent.
Answer:
For both charts:
Top boxes: -12
Middle Boxes: -9
Bottom Boxes: -6
The equation is given by A = 3 ( x - 5 ) and B = 3x - 15 and they are equivalent
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
A = 3 ( x - 5 ) be equation (1)
Now , let the second equation be represented as B
Now , the value of B is
B = 3x - 15 be equation (2)
Now , on simplifying the equation (1) , we get
Substituting the value of x = 1 , 2 , 3 in equation (1) , we get
when x = 1
A = 3 ( 1 - 5 )
A = 3 ( -4 ) = -12
when x = 2
A = 3 ( 2 - 5 )
A = 3 ( -3 ) = -9
when x = 3
A = 3 ( 3 - 5 )
A = 3 ( -2 ) = -6
Now , on simplifying the equation (1) , we get
Substituting the value of x = 1 , 2 , 3 in equation (1) , we get
when x = 1
A = 3 ( 1 ) - 15
A = 3 - 15 = -12
when x = 2
A = 3 ( 2 ) - 15
A = 6 - 15 = -9
when x = 3
A = 3 ( 3 ) - 15
A = 9 - 15 = -6
So , the values of the expressions are the same
Now , applying the distributive property on equation (1) , we get
A = 3 ( x - 5 )
A = 3x - 3 ( 5 )
A = 3x - 15 = B
Hence , the equations are equivalent
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Problem: Which expressions are equivalent to 2(x - 7)?
Answer:
Type equation here.

PLEASEE HURRY
A salesperson earns $350 per week, plus a 35% commission on each sale made. How much would the salesperson earn if he sold $750 worth of merchandise in one week?
The salesperson will have a commission of $262.5 and earn $612.5 in one week if he sold $750 worth of merchandise.
How to calculate the commission and earning for the salespersonWe first calculate the 35% commission on the $750 sales of merchandise, and then add the result to his weekly earning of $350.
35% commission on $750 = (35 × $750)/100
35% commission on $750 = $2625/100
35% commission on $750 = $262.5
salesman's earning for the week = $350 + $262.5
salesman's earning for the week = $612.5
In conclusion, the salesman will earn $612.5 if he sold $750 worth of merchandise in one week, which is the sum of his $350 per week earning and the 35% commission.
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Given the figure below. What is the theorem or postulate that justifies triangle ABD congruent
to triangle CBD?
Answer:
SAS is the answer in my opinion
there are 32 student in a class 7 sun I'f the ratio of boys and girls is 5:3 find the number of boys and girla
Answer:
there are 20 boys and 12 girls
Write the following as an algebraic expression. Then simplify.
The perimeter of the rectangle with length z + 3 and width z.
Z
z+3
The answer is a
(Simplify your answer.)
Answer:
6z
Step-by-step explanation:
Welcome for the answer. This answer is only for good intentions only report if necessary. Have a great rest of your day!The perimeter of the rectangle is given by the algebraic expression: 4z + 6
How to find the perimeter of a rectangle?The formula for the perimeter of a rectangle is expressed as:
P = 2(L + W)
Where:
W is width
L is length
We are given the following parameters as:
Length = z + 3
Width = z
Thus:
P = 2(z + z + 3)
P = 2(2z + 3)
P = 4z + 6
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56 POINTS
Step 1: Analyze the graph.
Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump.
⦁ What are the key aspects of any parabola? What do the key aspects tell you about the graph?
(5 points)
⦁ What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)
Step 2: Solve for coefficient a.
⦁ What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)
⦁ Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)
⦁ What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)
Answer:
Step 1:
What are the key aspects of any parabola? What do the key aspects tell you about the graph?
(5 points)
0=a(4-24)^2+50
-50=a(4-24)^2
4-24
-20^2=400
-50=a(400)
-50=400a
-50/400=-0.125
a = -0.125
B.) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)
The roots and vertex, you can find the vertex by using vertex form y=a(x-h)^2+k. You find the roots by solving the quadratic equation.
Step 2: Solve for coefficient a.
a.) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)
f(x) = a(x-h)^2 +k
b.) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)
Not sure about this one...?
c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)
f(x)=-12/25(x-25)^2+32
The equation of Daredevil Danny's jump in vertex form is y = -0.32(x - 25)^2 + 32
The key aspects of the graphThe graph that completes the question is added as an attachment
These are the vertex and the intercepts of the graph.
The intercepts tell us about when the time of flight and the time of landing, while the vertex tell about the maximum height of Danny's jump.
From the graph, we have:
Vertex = (25,32)x-intercepts = 15 and 35The value of the coefficient aA quadratic function is represented as:
y = a(x - h)^2 + k
Where:
vertex = (h,k)
So, we have:
y = a(x - 25)^2 + 32
Substitute the value of the x-intercept
0 = a(15 - 25)^2 + 32
Subtract 32 from both sides
a(15 - 25)^2 = -32
Solve for a
a = -0.32
Hence, the value of the coefficient a is -0.32
So, the equation in vertex form is y = -0.32(x - 25)^2 + 32
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If Mike walked 10 miles in two hours how many miles did he walk in one hour?
Answer:
5 miles
Step-by-step explanation:
10 miles in 2 hours
so the half in 1 hour; 5 miles
What is the area of the obtuse triangle below? 19 11 O A. 99 sq. units OB. 10 sq. units O C. 49.5 sq. units O D. 20.5 sq. units
answer:
C.49.5sq. units
explanation:
Sana makatulong
Last Saturday, Camila practiced her dance routines for her upcoming competition. She spent some time practicing her tap routine, and then she spent 17 minutes practicing her hip-hop routine. In all, she practiced for 45 minutes. Let t be the number of minutes that Camila practiced her tap routine. Write and solve an equation to find t.
Answer:
t = 28 minutes
Step-by-step explanation:
Last Saturday, Camila practiced her dance routines for her upcoming competition. She spent some time practicing her tap routine, and then she spent 17 minutes practicing her hip-hop routine. In all, she practiced for 45 minutes. Let t be the number of minutes that Camila practiced her tap routine. Write and solve an equation to find t.
45 minutes = Number of minutes for hip-hop routine + Number of minutes for tap dance
The equation is given as
45 = 17 + t
Solving for t
t = 45 - 17
t = 28 minutes
Shes spent 28 minutes tap dancing
Quinn is mixing juices to make pund for a party. Select all the mixtures
that will fit into a 1-gallon pitcher.
6 pänts apple juice and 6 cups cranberry juice
2 quarts apple juice and 8 cups cranberry juice
5 pints apple juice and 2 quarts cranberry juice
9 cups apple juice and 3 pints cranberry juice
punts apple juice and 3 quart qanberry juice
Answer:
2 quarts apple juice and 8 cups cranberry juice
9 cups apple juice and 3 pints cranberry juice
Step-by-step explanation:
We can easily obtain the answer by converting all the volumes to the same unit and comparing each of them, to see if they can make up to a gallon.
1). 6 pints apple juice and 6 cups cranberry juice
Let us convert pints and cups to gallons
1 pint = 0.125 gallons
6 pints = 6 X 0.125 = 0.75 gallons
1 cup = 0.0625 gallons
6 cups = 6 X 0.0625 =0.375 gallons
Total juice got from here is 0.75 +0.375 = 1.125gallons.
This cannot fit into the one-gallon pitcher as it is more in volume than a gallon.
2) 2 quarts apple juice and 8 cups cranberry juice.
2 quarts = 0.5 gallons
8 cups = 0.5 gallons.
Total juice got here is 0.5 + 0.5 = 1 gallon.
This can fit into the 1-gallon pitcher
3). 5 pints of apple juice and 2 quarts of cranberry juice
5 pint = 0.625 gallons
2 quarts = 0.5 gallons
Total juice got here is 0.625+ 0.5 = 1.125 gallon
This cannot fit into the 1-gallon pitcher
4). 9 cups of apple juice and 3 pints of cranberry juice
9 cups = 0.5625 gallons.
3 pints = 0.375 gallons
Total juice got here is 0.5625 + 0.375 = 0.9375 gallons.
This can fit into the 1-gallon pitcher because it is of less volume.
Hence, only these combination of drinks can fit into the 1-gallon pitcher:
2 quarts apple juice and 8 cups cranberry juice
9 cups apple juice and 3 pints cranberry juice
Re-Write the quadratic function below in standard Form
y = 5(x+3)(x-4)
Given square JKLM, JK=9. Find JL
Answer:
answer is 18
Step-by-step explanation:
.................
Answer:
11
Step-by-step explanation:
It may not be correct
Please help meeeee!!
Answer:
-27
Step-by-step explanation:
order of operations 2÷2 = 1 +53 =54
3x1 = 3 -5 = -2
54÷-2 = -27
Write an expression.. NO LINKS
NEED HELP ASAP!!!
Answer:
-10.50*3
=-31.5
A bike trail is 2 2/5 miles long. Rosie rides her bicycle on the bike trail 4 days a week. How many miles does Rosie ride per week?
Answer: Rosie biked 9.6 miles per week because you do 2 2/5 times 4. 2 2/5 becomes 12/5 and you just times it by 4.
Hope it helps! :D
PLEASEE HELLLP!!! I WILL GIVE BRAINLIST!!!
Answer:
Step-by-step explanation:
3/2=5d-1/2
how to solve d
Answer:
d = 0.4
Step-by-step explanation:
3/2 + 1/2 = 5d - 1/2 + 1/2
2 = 5d
2 ÷ 5 = 5d ÷ 5
0.4 = d
d = 0.4
[tex]\sqrt \frac18[/tex]
Step-by-step explanation:
[tex]\sqrt{1/8}[/tex]=[tex]\sqrt{1} /\sqrt{8}[/tex]
[tex]\sqrt{8} =2\sqrt{2}[/tex]
[tex]1/(2\sqrt{2} )[/tex]
if the denominator is a root then multiply itself by itself to get an integer
[tex]1(2\sqrt{2} )/((2\sqrt{2})(2\sqrt{2} ))[/tex]
[tex]\sqrt{2} /4[/tex]
Hope that helps :)
PLSS HELPP
Find the trigonometric ratio as a fraction Tan N =
Find the trigonometric ratio as a fraction Tan L =
Answer:
Tan N = 4 / 3
Tan L = 3 / 4
Step-by-step explanation:
By Pythagoras theorem,
(LN)² = (MN)² + (LM)²
10² = 6² + (LM)²
100 = 36 + (LM)²
(LM)² = 100 - 36
(LM)² = 64
LM = 8
Tan N
= Opposite / Adjacent
= LM / MN
= 8 / 6
= 4 / 3
Tan L
= 1 / Tan N
= 1 / ( 4 / 3 )
= 3 / 4
HELP ASAP!!? HELP ME PLEASE!! 10 POINTS
Answer:
D) 3x²y
Step-by-step explanation:
find the distance between the two points (-1,3) and (4,2) ?
Answer:
sqrt(26) units
Step-by-step explanation:
Use the formula d=sqrt((x2-x1)^2 + (y2-y1)^2). d is the distance, and (x1, y1) and (x2, y2) are the points.
d=sqrt((4-(-1))^2 + (2-3)^2)
=sqrt(5^2 + (-1)^2)
=sqrt(25+1)
=sqrt(26)
Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5). On a coordinate plane, an exponential function decreases from quadrant 3 to quadrant 4 and approaches y = 0 in quadrant 3. It crosses the y-axis at (0, negative 2) and goes through (1, negative 5). On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 2) and goes through (negative 1, 5). On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 5) and crosses the y-axis at (0, negative 2).
The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).
The function f(x) is given as:
[tex]f(x) = 2(0.4)^x[/tex]
The rule of reflection over the y-axis is:[tex](x,y) \to (-x,y)[/tex]
This means that:
[tex]g(x) =f(-x)[/tex]
Substitute -x for x in f(x)[tex]f(-x) = 2(0.4)^{-x}[/tex]
Substitute the expression for f(-x) in the above equation [tex]g(x) =f(-x)[/tex][tex]g(x) = 2(0.4)^{-x}[/tex]
Hence, the graph of g(x) is graph (a)
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Fast help please quick answer
Answer:
ohh ok fast answer
its option 3
First come first served brainiest
Step-by-step explanation:
firat one 50.24
second one 63.585
Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?
Answer:
-14
Step-by-step explanation:
Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?
This is an interesting question, since I have to think I have ever seen a question like this asked before.
3x³ - 5x + k i'll try dividing by x-2 and adjust k so there is no remainder
3x² + 6x + 7
x-2 | 3x³ + 0x² - 5x + k
3x³ - 6x
6x² - 5x
6x² - 12x
7x + k
7x - 14
0 remainder is 0 if k = - 14
when I graphed 3x³ - 5x -14 and (x-2)(3x² +6x +7) the graphs were equivalent
Gabriel bought a dog crate shaped like a rectangular prism with the dimensions shown in the model 36x24x30
Answer:
25920
Step-by-step explanation:
you do lxwxh
Find the volume of this cube
Answer:
Step-by-step explanation:
This is a cube so the formula for the volume of a square is a³ = Volume
This means:
5³ = V
V = 125in³
Answer:
125 in^3
Step-by-step explanation:
b/c
v=L×w×h
V=5 in×5 in×5 in
v=125 in^3
Can y’all plz help I will mark u
Answer:
4/8
Step-by-step explanation:
7/8 - 3/8 - 4/8
4/8 + 3/8 = 7/8
n = 4/8
hope this helps
please help!!!! ASAP!!!
Step-by-step explanation:
...x=+2...
...y=-3...