Answer:
[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Distributive Property
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]
Step 2: Simplify:
Rewrite [Exponential Distributive Property]: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}[/tex][Order of Operations] Evaluate exponents: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}[/tex][Order of Operations] Multiply: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}[/tex]Simplify: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0[/tex][Order of Operations] Divide: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex][tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]
[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]
Take x^2 common and cancel.[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]
[tex]\\ \sf\longmapsto 9[/tex]
Write a function representing the line that includes the points (2,18) and (5,36).
Answer:
Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)
y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (2,18) and (5,36).
m=36-18/5-2
=18/3=6
slope of line is 6.
Now we need to find the equation of line passing through (2,18) and (5,36).
We need to find the y intercept.
18=6(2)+c
18=12+c
18-12=c
6=c
So y intercept is 6
The equation of line is y=6x+6
Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).
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California Cafe has a maximum capacity of
45 customers. If there are currently 27
customers in the cafe, how many more
customers can they seat?
A plumber charges $8.00 per hour for her work, plus a $27 materials fee. If you pay her $107.00, for how many hours did the plumber work?
Answer:
10 hours
Step-by-step explanation:
Amount paid= material fee + ($8)(number of hours worked)
Let the number of hours the plumber worked be t.
$107= $27 +$8t
107 -27= 8t
80= 8t
8t= 80
Divide both sides by 8:
t= 80 ÷8
t= 10
Thus, the plumber worked for 10 hours.
Question 3 of 10
Which symbol would best replace the question marks below?
17? 33 ? 59 ? 63 ? 87? 92
A. =
B. <
C. >
SUBMIT
Answer:
B. <
Step-by-step explanation:
Each number in the sequence is greater than the previous number so the correct answer is b. <
Please help me
Three plus two times a number is seven less than four times a number.
What is that number?
Answer:
5
Step-by-step explanation:
3+2x = 4x-7
3+7=4x-2x
x=5
Answer:
Let the number be x
According to given conditions,
3 + 2x = 4x - 7
3 + 7 = 4x - 2x
10 = 2x
2x = 10
•°• x = 10/2
•°• x = 5
The number is 5.
Find the surface area of the following prism.
Answer: 350 square inches
The surface area formula of a trapezoidal prism is h (b + d) + l (a + b + c + d)
4(9+7) + 11 (5+7+9 +5)
--> 350
Don’t understand this math question
Answer: the answer is 5^6
Step-by-step explanation:
When you are multiplying exponents with the same base you add the exponents so 3+3=6
The base area of a box is 36 square inches. If the volume of the box is 108 cubic inches, what is the height of the box?
The height of a box that has a base area of 36 sq. in. and a volume of 108 cubic inches is: 3 inches.
Recall:
The formula for the volume of a box = base area × height
Given the following dimensions:
base area of box = 36 sq. in.
Volume = 108 cubic inches.
Required: height of the box
Plug in the given values into the formula for the volume of a box
108 = 36 × height
Divide both sides by 36
height = 108/36
height = 3 inches
Learn more about the Volume of a box on:
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Find the range and domain of the following set:
{(-5, -5), (-3, 4), (0, 1), (2, 5)}
Question options:
{(-5, -5), (-3, 4), (0, 1), (2, 5)}
{-5, 1, 4, 5}
{-5, -3, 0, 2}
{-5, 5}
Answer:
range: {-5, 1, 4, 5}domain: {-5, -3, 0, 2}Step-by-step explanation:
The range is the set of second numbers of the ordered pairs.
{-5, 1, 4, 5}
__
The domain is the set of first numbers of the ordered pairs.
{-5, -3, 0, 2}
__
Additional comment
It is generally convenient to write the elements of a set in sorted order.
Which value of y makes the equation y+4.2=21 true?
Answer:
16.8
Step-by-step explanation:
21-4.2= 16.8
A system of equations is shown below y=3x-7 y=2x+1 what is the solution to the system of equations 8 ,17 -8,17 -8,-17 8,-17
Answer:
(8, 17)
Step-by-step explanation:
y = 3x - 7, y = 2x + 1
Substitute the second equation into the first for y.
2x + 1 = 3x - 7
8 = x
Now use 8 for x in one of the equations and solve for y.
2(8) + 1 = y
y = 17
(8, 17)
12 circles to 8 squares simplified is what
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5. Name a pair of supplementary angles.
6.Name a pair of vertical angles
7.Name a pair of adjacent angles
(Please answer if u can!)
Answer:
5. Angles FGE and CGE are supplementary
6. Angles FGE and BGC are vertical
7. Angles FGE and GED are adjacent
Step-by-step explanation:
Problem 5
Answer: Angle EGF and angle FGBExplanation:
The straight line EGB can be decomposed into the angle pieces of angle EGF and angle FGB. Another way we can break this straight angle down is to break it into angle EGA and angle AGB. Whichever route you go for, the smaller angles add back to 180 degrees. There are other possible answers you could go for. Check out the diagram below for a visual of these angles (shown in red)
========================================================
Problem 6
Answer: Angle AGB and angle EGD
Explanation:
Focus on lines AD and EB. They intersect at point G. The two lines form the opposite angles AGD and EGD which are considered vertical angles. Whenever we have an X shape like this, we'll have vertical angles in the opposite positions like this. Vertical angles are always congruent. There are other pairs of vertical angles shown in this diagram. Check out the diagram below for a visual of these angles (shown in blue)
========================================================
Problem 7
Answer: Angle BGC and Angle CGDExplanation:
The angles BGC and CGD are right next to each other, so we consider them adjacent. They share the common ray GC. Think of it like two neighbors sharing a common wall in an apartment building. There are other possible answers you could go with as long as the two angles share a common ray or line, and also share a common vertex as well. Check out the diagram below for a visual of these angles (shown in green)
Can anyone help me with this?
Use the drawing tools to form the correct answer on the graph.
Graph this function.
f(x) = (1/3)x + 8
Answer:
The answer is simple. Just graph like you would any normal graph
Step-by-step explanation:
If a die is thrown, the probability of getting even number is
a)1/2 b)1/6 c)1/3 d) 2/3
Answer:
A 1/2
Step-by-step explanation:
Its a half chance since theres 6 sides so 1/2:)
Answer:
[tex]b) \frac{1}{2} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
A jet travels 590 miles in 5 hours at this rate how far could the jet fly in 10 hours
Answer:
1180 miles
Step-by-step explanation:
590 x 2. If 590 miles in 5 hours then in ten it would be double. 590x2=1180.
So 1180 miles
Hope this helps
what the avage of 87.25
Answer:
B+
3.3 GPA
Step-by-step explanation:
A brainly Would be greatly appreciate!!!
Answer:
87.25
Step-by-step explanation:
Determine if the point (-2,2) a solution to the inequality y<3x+2.
Yes, it's a solution
or
No, it's not a solution
Answer:
No, it's not a solution
Step-by-step explanation:
Solve by plugging in the values x=-2 and y=2 that are from your point (-2,2):
y<3x+2
2<3(-2)+2
2<-4 This inequality is false, so no, it's not a solution
Answer:
not a solution
Step-by-step explanation:
y<3x+2
2<3(-2)+2..........plug in values
2<-6+2................multiply
2<-4......................add
2<-4 is false
what's the answer to this math problem?
3c+2= −10
Answer:
c=-4
Step-by-step explanation:
3c+2=-10
3c=-12
c=-4
Morgan bought candy for $.95, an eraser for $.15, and 2 pencils for $.40 each. (a) how much did the pencils cost? (b) how much did she spend in all? (c) how much change did she get from $5.00
Answer:
Step-by-step explanation:
A
1 pencil costs 0.40 dollars.
1 pencils cost 2 times 0.40 = .80 dollars
B
Candy 0.95
eraser 0.15
2 pencils 0.80
Total 1.90 Add
C
She started with 5.00 dollars
She spent 1.90 dollars Subtract
Here change was 3.10 dollars.
Megan draws three different diagrams to represent the sample space of flipping a coin and rolling a 6-sided die.
Drag a sample space into the row that fits the description and represents Megan's experiment.
Answer:
The explanation is given below.
Step-by-step explanation:
Given:
Two events take place.
Let event A be flipping a coin
Let event B be rolling a 6-sided die.
Now, a coin has two faces; one is head and the other is tail.
So, the possible outcomes of event A are: {H, T}
H → Head, T → Tail.
Now, a six sided die has six faces each marked with a number. The numbers marked ranges from 1 to 6.
So, the possible outcomes of event B are {1, 2, 3, 4, 5, 6}
Now, each element of set A should match with all the elements of set B.
Now, tabular form should have a row of outcomes of B and a coum of outcomes of event A. Thus,
Outcomes 1 2 3 4 5 6
H H1 H2 H3 H4 H5 H6
T T1 T2 T3 T4 T5 T6
Therefore, the organised list has the following outcomes:
H1 T1
H2 T2
H3 T3
H4 T4
H5 T5
H6 T6
Finally, the correct tree diagram is attached below.
can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius
PLEASEE HELP !!! 30 POINTSSS
What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and
show your work
Answer:
30-60-90 is a special right triangle
if the side opposite to the 30 degree angle = x,
then the side opposite to the 90 degree angle = 2x
and the side opposite to the 60 degree angle = x*sqr3
2x=14
x=7
side BC is opposite to the 30 degree angle, so it is 7 cm
side AB is opposite to the 60 degree angle, so it is 7sqr3 cm
Answer:
clearer pic?
Step-by-step explanation:
please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with this.
Answer:
x=10, y=-1
Step-by-step explanation:
x-y=11
2x+y=19
3x=30
x=10
10-y=11
-y=1
y=-1
USED ELIMINATION BC THERE WAS ALREADY A Y AND -Y
Students who
ride the bus
65% of the 800 students at North High School ride the
bus. How many students ride the bus?
0 65
?
100 multiplied by
is equal to 800
H
65 multiplied by
vis equal to
0 100
800
out of
students ride the bus.
All
students
Replace the emojis with the correct numbers! Each emoji is worth the same amount each problem. (Example: Snowman is worth the same in each problem)
☃️ + ⭐ = 20
+ ☃️ = 8
⭐ = ?
PLEASEEEE HELPPPPPP ME
Answer:
k
Step-by-step explanation:
i will mark brainlist !!!!!!!!
Answer:
f(n)=4*2^(n-1)
f(n)=a*b^n -> 2 is the multiplier for the outputs, so b=2. 4 is the output when n=1 (all answers are to the power of n-1), so a=4
We need a minimum of 30 book sales by today. If 10 books were sold yesterday, what are the possible numbers for sales today
A.b> 20
B. b> 10
C.b> 30
D.b> 20
I mean it would be A and D because I don't know why they are both the same answer. If 10 books were sold yesterday, at LEAST 20 are needed to make the goal.