Answer:
y = 2x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3-5}{0-4}[/tex] = [tex]\frac{-8}{-4}[/tex] = 2
The line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = 2x - 3 ← equation of line
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
A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determined.
The numerical value of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.
Answer:
Step-by-step explanation:
A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determined.
The numerical value of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.
Using the area and the circumference of the circle, it is found that the correct statement is given by:
The numerical value of the circumference is greater than the numerical value of the area.
What is the area of a circle?The area of a circle of diameter d is given by:
[tex]A = \frac{\pi}{4}d^2[/tex]
What is the circumference of a circle?The circumference of a circle of diameter d is given by:
[tex]C = \pi d[/tex]
In this problem, we have that d = 3, hence:
[tex]A = \frac{\pi}{4} \times 3^2 = \frac{9\pi}{4} = 2.25\pi[/tex]
[tex]C = \pi \times 3 = 3\pi[/tex]
Hence the correct option is given by:
The numerical value of the circumference is greater than the numerical value of the area.
More can be learned about the area and the circumference of a circle at https://brainly.com/question/15673093
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8 1/4 as a decimal number
Answer:
8.25
Step-by-step explanation:
8 1/4= 8 25/100=8.25
Hey there!
8 1/4
= (8 * 4 + 1)/ 4
= (32 + 1)/4
= 33/4
= 33 ÷ 4
= 8.25
Therefore, your answer is: 8.25
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A grid model with 100 squares. 20 squares are shaded.
Which fraction is equivalent to 20%?
StartFraction 1 Over 20 EndFraction
StartFraction 2 Over 20 EndFraction
StartFraction 4 Over 20 EndFraction
StartFraction 5 Over 20 EndFraction
Will give brainliest for answer!!
Answer:
4 over 20
Step-by-step explanation:
did on edg 2020
Answer:
c
Step-by-step explanation:
A recipe for Potato Soup is listed below:
3 1/2 cups of peeled and diced potatoes
1/3 cup finely chopped onion
3 1/4 cup water
2 cups of milk
1/2 teaspoon salt
5 tablespoons of butter
1/3 cup diced celery
3/4 cup of diced ham
2 tablespoons of chicken bouillon granules
1 tablespoon ground black pepper
5 tablespoons of all purpose flour.
You accidently use 5 cups of potatoes. Approximately how many cups of water will you need for 5 cups of potatoes?
There are 20 female performers in a dance recital. The ratio of men to women is 3:4. How many men are in
the dance recital?
There are
men in the dance recital.
Answer: 15
Step-by-step explanation: 3:4 5x4=20 5x3=15 15:20
Answer:
there are 15
men in the dance recital
Step-by-step explanation:
Find the A distance B between and .
Step-by-step explanation:
26 should be the answer
Find his her profit
(is) Find his her loss percent.
Sunavana bought second-hand bicycle for Rs 4,350 and spent Rs 450 ton
at if she sold it for Rs 5.280, find her profit or loss percent-
d A trader bought 1000 glass mumble
Answer:
Step-by-step explanation:
i would say d
Write the equation of the line fully simplified slope-intercept form.
Answer:
y= -1/3x-7
Step-by-step explanation:
Find a number that is a solution of the inequality x < –8.
–5
0
–10
Answer:
-10
Step-by-step explanation:
hope this can help :)
Answer:
-10
Step-by-step explanation:
because 0 is greater than all the other numbers and -5 is closer to 0 than -10.
It costs $26 to join Gym X, plus an additional $33 per month. It
costs $59 to join Gym Y, plus an additional $30 per month.
After how many months of membership would it cost the
same to belong to either gym?
PLEASEE HELP !
8 months
Step-by-step explanation:
Cam bought the items listed on the sign. If he was charged $42.25 for which item was he charged twice?
Answer: For which item was he charged twice? 42.25 – 29.50 = 12.75, so he was charged twice for the hat.
It may be incorrect! This is in my math book and it was this answer. Please forgive me if it’s incorrect!
how to rewrite 11/12 in two different ways
Answer:
1) 33/36 = 11/12
2) 22/24 = 11/12
Step-by-step explanation:
Hope it helps you! Please give me Brainlest!
Step-by-step explanation:
As a decimal you divide 11 by 12 which is 0,916 (6 repeating)
now as a percent you multiply this decimal by 100 which is 91.6 (6 repeating)%
Find the answer plz OR I WILL YEET YOU.
7/2x -3(5x -1/2)
Answer:
Step-by-step explanation:
Original equation:
7/2x - 3(5x - 1/2) = ?
Use distributive property for the parentheses
-3 · 5x = -15x
-3 · (-1/2) = 3/2 or 1.5
Plug these values into the equation
7/2x - 15x + 1.5 = ?
Combine like factors
-11.5x + 1.5 = a (a = answer)
The equation with fractions:
-11 1/2 + 1 1/2 = a
Hope this helps :)
At the city museum, child admission is $5.20 and adult admission is $9.50. On Friday,133 tickets were sold for a total sales of $928.10. How many adult tickets were sold that day?
Answer:
55 adult tickets were sold on Friday.
Step-by-step explanation:
A linear system will be used to model the system.
Let c be the number of child tickets and a be the number of adult tickets
Then according to given statements
[tex]a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2[/tex]
From equation 1
[tex]a = 133-c[/tex]
Putting this in equation 2
[tex]9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78[/tex]
Putting c = 78 in equation 1
[tex]a+78 = 133\\a = 133-78\\a = 55[/tex]
Hence,
55 adult tickets were sold on Friday.
Please mark brainliest !!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
um. its 70
Step-by-step explanation:
180-110.. parallel angels
Answer: 70°
Step-by-step explanation:
180-110 parallel angels
solve for the indicated information solve for n
Answer:
n = 81
Step-by-step explanation:
The left angle in the upper triangle and 44° are Alternate angles and congruent.
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
n is an exterior angle of the upper triangle, thus
n = 44 + 37 = 81
A store buys shoes for $40, then sells them to customers for $160. What is the percent mark-up for the price of the shoes?
Answer:
its 120 your supposed to divide 120 ÷ 100% and ur answer will be 120
A man has $456.99 in his bank account. The man then writes a check for $45.99. How much money is in his account now?
Answer:
$411.00
Step-by-step explanation:
456.99-45.99
Which expression is equivalent to 735 ÷ 100?
7.35 ÷ 1000
735 x 0.01
735 x 0.001
73.5 ÷ 100
Answer:
735x0.01
Step-by-step explanation:
i need help with geometry rotations
Answer:
Search it up on utube
Step-by-step explanation:
Determine weather the triangles a are similar
Answer:
Step-by-step explanation:
(x + 10) cm
(x - 3) cm
The area of the rectangle is 48 cm².
Show that x satisfies the equation x2+ 7x - 78=0
Answer:
area a=lxb
48=(x+10)x(x-3)
48=x2-3x+10x-30
0=x2+7x-30-48
0=x2+7x-78
hence it is proved
The requried, we have shown that x satisfies the equation x² + 7x - 78 = 0.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
The area of the rectangle is given by the formula:
Area = length x width
Substituting the given expressions for length and width, we have:
Area = (x + 10)(x - 3)
We are also told that the area of the rectangle is 48 cm², so we can set up the equation:
(x + 10)(x - 3) = 48
Expanding the left side using the FOIL method:
x² - 3x + 10x - 30 = 48
Simplifying:
x² + 7x - 78 = 0
Therefore, we have shown that x satisfies the equation x² + 7x - 78 = 0.
Learn more about equations here:
brainly.com/question/10413253
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Given the expression below, write an equivalent expression that does not contain parentheses.
Answer:
-2x - 12 - 2
Step-by-step explanation:
Apply the distributed property: -2x - 12 - 2I hope this helps!
Nate bought a new pair of shoes that were on sale for 25% off. If the shoes were $5 originally, what is the sale price of the shoes?
its proportions btw
Answer:
The sale price would be $3.75
Step-by-step explanation:
5*25%=1.25
5-1.25=3.75
the sale price of the shoes would be $3.75 because 5÷4=1.25 and 5-1.25=3.75, unless you are including tax. hope you get a good grade!
Tim made a tuna sandwich using bread
that measured 9 cm by 12 cm. He cut the
sandwich in half along a diagonal. What
is the length of the diagonal cut that he
made?
Answer:
Step-by-step explanation:
I looked this up on google. There is an answer key if u look up this exact question the 1st link is the answer key!
What type of angles
eve these?
Linear pair
Acute
Complementary
Other:
Find the slope with the given coordinates (9,-4) (-2,3)
Answer:
the slope is-7/11
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=3-(-4)/(-2)-9
m=7/-11
m=-7/11
I'm dumb, please help me.
Answer:
3/4
Step-by-step explanation:
15/20 is 3/4. therefore, according to the previous data, it is 3/4.
P.S. I looked at your answers and you cannot just spam random answers. thats rude and it violated the honor code. how would you feel if you posted a question and the answer was just random letters. and then you failed your test. thats not nice. and you are on canvas, because i use it too, and i know what it looks like. you cannot cheat on a test, as this is not what Brainly is for. im just so dissapointed because you disrespect others.
Steve draws a line from (-2, -6) to (3, 9). Approximately how long is the line he draws?
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Let : A = ( - 2 , - 6 ) & B = ( 3 , 9 )
[tex]d = distance \: \: between \: \: points \\ [/tex]
[tex]d = \sqrt{ ( \: {y(B) - y(A) } \: )^{2} + ( \: { x(B) - x(A) } \: )^{2} } \\ [/tex]
[tex]d = \sqrt{ ( \: {9 - ( - 6)} \: )^{2} + ( \: {3 - ( - 2)} \: )^{2} } \\ [/tex]
[tex]d = \sqrt{ ( \: {9 + 6} \: )^{2} + ( \: {3 + 2} \: )^{2} } \\ [/tex]
[tex]d = \sqrt{ {15}^{2} + {5}^{2} } [/tex]
[tex]d = \sqrt{225 + 25} [/tex]
[tex]d = \sqrt{250} [/tex]
[tex]d = \sqrt{25 \times 10} [/tex]
[tex]d = \sqrt{ {5}^{2} \times 10 } [/tex]
[tex]d = 5 \sqrt{10} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus Steve draws a line which has a length of 5√10 .
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