Given:
Side length of square is x = 10 in.
To find:
Area of a square with side length x when x = 10 in.
Check whether the area of a square and the length of its side directly proportional.
Solution:
Area of square is
[tex]Area=(side)^2[/tex]
[tex]Area=x^2[/tex]
For x=10, we have
[tex]Area=(10)^2[/tex]
[tex]Area=100[/tex]
Therefore, the area of square is 100 sq. in. when x=10 in.
For x=1,
[tex]A_1=1^2=1[/tex]
[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]
For x=2,
[tex]A_2=1^2=4[/tex]
[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]
Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].
Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.
When translating the point (5,0) 6 units up and 4 units to the right, we should get:
Answer:
(9,6)
Step-by-step explanation:
"Up" indicates y-axis. "Right" is horizontal motion, so x-axis. We add positive 6 to the y-value and positive 4 (since it's going to the right) to the x-value.
Hope this helps!
solve for f. -11f = 7(1 - 2f) + 5
Answer:
F = 4
Step-by-step explanation:
−11f=7−14f+5
−11f=−14f+12
−11f+14f=12
3f=12
f=
3
12
f=4
Answer:
f=
23/14
=1.643
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-11-(7*(1-2*f)+5)=0
-11 - (7 • (1 - 2f) + 5) = 0
14f - 23 = 0
3.1 Solve : 14f-23 = 0
Add 23 to both sides of the equation :
14f = 23
Divide both sides of the equation by 14:
f = 23/14 = 1.643
HELP!! CAN I PLEASE GET HELP I JUST NEED WHAT X IS ♀️?
Answer:
x = 2
Step-by-step explanation:
63x - 1 and 62x + 1 are corresponding angles and congruent, thus
63x - 1 = 62x + 1 ( subtract 62x from both sides )
x - 1 = 1 ( add 1 to both sides )
x = 2
Answer:
A.
Step-by-step explanation: 63 x - 1 62 x + 1
What is the value of 6k^-4 if k = -1?
A. -24
B. 1
C. 6
D. 24
Answer: 6
Step-by-step explanation:
[tex]6\left(-1\right)^{-4}[/tex]
[tex]6\cdot \frac{1}{\left(-1\right)^4}[/tex]
[tex]6\cdot \:1[/tex]
[tex]6[/tex]
Answer:
C, the answer is 6.
Step-by-step explanation:
If you substitute -1 into the variable "k", it would look like this equation, 6(-1)[tex]6(-1)^{-4}[/tex], if you then raise -1 to the power of -4, you would then get the value 1. Thus, 6 * 1 equals 6. C would be the correct answer.
There are 20 classrooms in the high school with 30 students in each class. How many students are in the school?
[tex]\Large{\boxed{\tt{600 \: Students}}}[/tex]
Question:There are 20 classrooms in the high school with 30 students in each class. How many students are in the school?To find:No. of studentsGiven:Total no. of classrooms = 20 students in each class= 30Answer:Total no. of students in school= Total no. of classrooms×students in each classTotal no. of students in school=20×30Total no. of students in school=600best of luck! ^_^
8. Could an angle be complementary to itself? If, so what would it’s measure be?
9. Could an angle be supplementary to itself? If so, what would its measure be?
Answer:
8) angle that is complement of itself is 45°
9) When an angle is its own supplement, that means that the angle, plus itself, will equal 180 degrees.
Step-by-step explanation:
find the slope of the graph
Answer:
D
Step-by-step explanation:
Each week mrs endo bikes 0.86 mile to the garden. Then she bikes 2.3 miles along the river back home. About how many miles will mrs endo bike in a year?
Answer: 164.32 miles
Step-by-step explanation:
Given that:
Weekly coverage :
Miles biked to the river = 0.86 miles
Miles biked along the river back home =. 2.3 miles
Total miles biked weekly:
(0.86 + 2.3) miles = 3.16 miles weekly
Number of weeks per year = 52
Miles biked yearly : (number of weeks per year * miles biked weekly)
= 52 * 3.16 miles
= 164.32 miles
Mrs endo will bike about 164.32 miles in a year.
x-y> -3
2x + y<6
help plsss it’s for a quiz it’s algebra 2
Answer:
Hello!
Step-by-step explanation:
Ok so for X-y> -3, there are no solutions and for 2x + y<6, there are also no solutions. Hope this helped!
Here are recipes for two different banana cakes. Information for the first recipe is shown in the table.
1st Recipe: y = 1.5x
2nd Recipe: y = 7/4x
If you used 4 cups of sugar, how much flour does each recipe need?
a. First: 2 cups, Second: 8 cups
b. First: 7 cups, second: 6 cups
c. First: 4 cups, second: 2 cups
d. First: 6 cups, Second: 7 cups
Answer:
d. First: 6 cups, Second: 7 cupsStep-by-step explanation:
Using the formulas to find the amount of flour needed:
1. y = 1.5x = 1.5*4 = 6 cups2. y = 7/4x = 7/4*4 = 7 cupsCorrect choice is d.
Choose the graph which represents the solution to the inequality.
3 - 2x 2-17
Answer:
X ≥ 12, (Or A)
Step-by-step explanation:
First, you would do two step equation.
3-2x ≥ -17
+3 | +3
----------|------------------
-2x ≥ -14
Then you divide each side by -2
And you get, X≥12
Which, does not represent any of the graphs.
The relationship between the sound level in a room and the rate at
which people wake up can be modeled by a linear function as shown.
Which of these best describes the
rate of change of the frequency of
people waking up with respect to
the sound level?
Frequency of People Waking Up
vs. Sound Level
100
8% per 9 decibels
90
80
B
3% per 4 decibels
70
60
9% per 8 decibels
Frequency of People Waking Up (%)
50
40
4% per 3 decibels
30
20
10
0 145
55 65 75 85 95 105 115
Sound Level (decibels)
Answer:
Step-by-step explanation:
C
The change of the frequency of people waking up with respect to the sound level, 9% per 8 decibels.
What is linear function?Linear function is the function in which the highest power of the unknown variable is one. Linear functions used to model the real life problem in the mathematical expressions.
The linear function with dependent variable y and independent variable x can be written as,
[tex]y=mx +c[/tex]
Here, (m) is the slope of the function and (c) is the y intercept.
The slope can be found out as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The sound level is plotted on x-axis and frequency of people walking up (%) is plotted on y-axis. The slope of the line given the rate of change of y values with respect to x value.
In the graph given, the frequency of people walking up is 10 at 55 decibels and 55 at 95 decibels. The point, we get for this line are (55, 10) and (95, 55). Therefore the slope or the change of rate is,
[tex]\dfrac{dy}{dx}=\dfrac{55-10}{95-55}\\\dfrac{dy}{dx}=\dfrac{45}{40}\\\dfrac{dy}{dx}=\dfrac{9}{8}[/tex]
Hence, the change of the frequency of people waking up with respect to the sound level, 9% per 8 decibels.
Learn more about the linear function here;
https://brainly.com/question/15602982
Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4. (1 point)
A.) y − 1 = 4(x − 3)
B.) y + 1 = 4(x + 3)
C.) y − 3 = 4(x + 1)
D.) y + 3 = 4(x − 1)
Two functions are given.
f(x)=-x^2+3x-2
g(x)=-x+1
What is one value for x such that f(x)=g(x)?
Hi
f(x) = g(x) if -x²+3x-2 - ( -x+1) = 0
-x² +3x-2 +x-1 = 0
-x² +4x -3 = 0
To solve, tou have to use the general method of resolution of a quadratic fonction.
To determine if it's has a solution in R, let's calculate Δ
Δ = (4)² - 4 * (1) *(-3)
Δ = 16 +12
Δ= 28
as Δ≥ 0 so the function allow two solution within R
so S 1 = ( -4 +√28) / 2 S 2 = (-4 -√28 ) /2
S1 = ( -4 + 2√7) /2 S2 = (-4 - 2√7) /2
S1 = (2 (-2 +√7) /2 S2 2 (-2 -√7) /2
S1 = -2 +√7 S2 = -2 -√7
So the two function are equal twice. one for x = -2 +√7 and second x = -2-√7
arrange the following from least to greatest (integers)
44,16,-8 and -20,8,0,-3
Answer:
-20, -8, -3, 0, 16, 44
Step-by-step explanation:
eric is twice as old as june. the sum of their ages is 57. how old is june.
Answer:
19
Step-by-step explanation:
2x + x = 57
3x = 57
x = 19
Check:
2 times 19 = 38
38 + 19 = 57
Simplify. 8(2x - 3) + 11x
Answer:
27x-24
Step-by-step explanation:
Using distributive property, we can simplify 8(2x-3) to 16x-24. That becomes 16x-24+11x.
Then, we can add 16x and 11x to get 27x.
The answer will be 27x-24.
I hope you found this helpful, and if it was, please mark this answer as brainliest! Thank you! :)
12. Phillip deposited $450 in an account that earns
5% interest, compounded yearly. If he makes
no further deposits, how much will be in the
account after 2 years?
A. $472.50
B. $491.14
C. $496.13
D. $512.24
Answer:
b
Step-by-step explanation:
A pair of $36 jeans were on sale at Jim's Jeans for 1/3 off. The same pair of jeans were $42 at David's Denims. The jeans were on sale for 2/3 off.
Complete question :
A pair of $36 jeans were on sale at Jim's Jeans for 1/3 off. The same pair of jeans were $42 at David's Denims. The jeans were on sale for 2/3 off.
A.) which store had the better buy
B.) how much will you pay at the store that has the better buy
Answer:
A.)David's denim has the better buy
B.) $14
Step-by-step explanation:
Jim's Jean store :
Cost of Jean = $36
Discount = 1/3 off
Discounted cost = $36 - (1/3 * $36)
Discounted cost = $36 - $12 = $24
David's Denim:
Cost of Jean = $42
Discount = 2/3 off
Discounted cost = $42 - (2/3 * $42)
Discounted cost = $42 - $28 = $14
David's denim has the better buy with a discounted price lower than the discounted price at Jim's store.
Cost at store with the better buy is $14
which of the following shows 3x+15+6x-7+y in simplest terms?
A) 18x + 8y
B) 9x + 22 + y
C) 9x + y + 8
D) 26xy
Answer:
is it c im not sure think not to 2 my bad i ment
cStep-by-step explanation:
Answer:
C.
Step-by-step explanation:
We have the expression:
[tex]3x+15+6x-7+y[/tex]
Let’s reduce this to simplest terms by combining like terms. So:
[tex]=(3x+6x)+(y)+(15-7)[/tex]
Compute:
[tex]=9x+y+8[/tex]
Hence, our answer is C.
Which is true about the domains and ranges of the functions f(x) 1/8√x= and g(x) = 8√x?
They have the same domain and range.
They have different domains and different ranges.
They have the same range but different domains.
They have the same domain but different ranges.
Answer:
A. They have the same domain and range.
Step-by-step explanation:
Edge 2021
Solve the equation
-0.06y +0.11(10,000 - y)=0.08y
A. (2,750)
B (4,400)
C. (13,200)
D. (275)
Answer:
B. 4400Step-by-step explanation:
-0.06y +0.11(10,000 - y)=0.08y-0.06y + 110 - 0.11y = 0.08y-0.17y + 110 = 0.08y0.08y + 0.17y = 1100.25y = 110y = 110/0.25y = 4400Correct option is B.
-8(8b-7)=-1-7b
How to solve
Answer: the answer is b=1
Choose all of the transformations that are rigid motions.
Answer:
I think its is the 3 one if multiple choice then 3 and 4
Subtract 2.53 x 105 from 1.3 x 108
Answer:
125.2 is your answer dear
Answer:
Step-by-step explanation:
2.53 x 105 is 265.65
1.3 x 108 is 140.4
now, Subtract 2.53 x 105 from 1.3 x 108
140.4 - 265.65
= -125.25
Hope this helps
plz mark as brainliest!!!!!!
Antonio has $74 to spend on video games. He buys one game for $46.90 and another game for $11. How much money will he have left over?
So I have 4 math problems, whether you choose to answer them or not is your choice. Also thank you if you do answer them. :)
But here they are.
#1 B^-2, solve for b=-3.
#2 (2t)^-4, solve for t=2.
#3 (m - 4)^-5, solve for m=6.
#4 2x^0y^-3, solve for x=7, and solve for y=-4.
The ^ means that there is a square root for that letter or number.
Answer:
1) 9
2) 256
3) -32
4) -2744
Step-by-step explanation:
What is the product of (–0.9)(–2.4)? –3.3 –2.16 2.16 3
Answer:
C. 2.16
Step-by-step explanation:
I took the test on edge
Pls help me....3x+4+2x+6yb+9×+1
NEED HELP RIGHT NOW I'M AT SCHOOL PLSSSSS
Answer:6yb+14x+1 is it Simplify ok
Step-by-step explanation:
Find the area of each figure. If necessary, use 3.14 for pi. and round to the
nearest hundredth 6ft 5ft 3ft 4ft
Answer:
a is 6 sq ft, b is 15 sq ft
Step-by-step explanation:
I'm going to call the bottom triangle (the one with 3, and 4 as its side lenght), and the top one, b.
So a is 3 times 4/2=12/2=6 sq ft.
b is 6 times 5/2=30/2=15
Answer:
21 ft²
Step-by-step explanation:
A = [tex]A_{1}[/tex] + [tex]A_{2}[/tex]
[tex]A_{1}[/tex] = (5 × 6) ÷ 2 = 15 ft²
[tex]A_{2}[/tex] = (4 × 3) ÷ 2 = 6 ft²
A = 15 + 6 = 21 ft²