Answer:
132
Step-by-step explanation:
The linear equation for the function is f ( x ) = y = ( 2/3 ) x - 3
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be f ( x ) = y
Now , the value of the function f ( 3 ) is given in the equation as
f ( 3 ) = -1
And the value of the function f ( 6 ) is given in the equation as
f ( 6 ) = 1
So ,
when x = 3 , y = -1
and when x = 6 , y = 1
Now , we have two points A ( x₁ , y₁ ) and B ( x₂ , y₂ )
A ( x₁ , y₁ ) = A ( 3 , -1 )
B ( x₂ , y₂ ) = B ( 6 , 1 )
Now ,
To find the slope of the equation , we use
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values , we get
Slope m = ( 1 - ( -1 ) ) / ( 6 - 3 )
= 2 / 3
Now , the equation of line will be y - y₁ = m ( x - x₁ ) ,
So , substituting the value of m , we get
y - ( -1 ) = ( 2/3 ) ( x - 3 )
y + 1 = ( 2/3 )x - 2
Subtracting 1 on both sides , we get
y = ( 2/3 )x - 3
Therefore , the equation of line will be y = ( 2/3 )x - 3
Hence , The linear equation for the function is f ( x ) = y = ( 2/3 ) x - 3
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The food bill came to 22$. If you wanted to leave a 20% tip, how much money would you leave for the tip? (Very urgent!)
Answer:
it would come out to $4.40
Answer:
$4.40
Step-by-step explanation:
value of -2 ( x + 5 )
Please, please help. (no fake answers please)
Answer:
13
Step-by-step explanation:
plug each number in for each variable
(24(1/2) + 2(7)) / (1/4)(8)
simplify
(24/2 + 14) / (8/4)
simplify
12+14/2
simplify
26/2
simplify
13
divide 72 pens between Sarah and Amina is the ratio 4:5.
Answer:
Sarah gets 32 pens and Amina gets 40 pens
Step-by-step explanation:
72 pens
4/9×72 = 4×8 =32
Sarah gets 32 pens
5/9×72=5×8=49
Amina gets 40 pens
hope it helped
-11 -z
evaluate the expression if x=-8 , y=7 , and z=-11
Answer:
-8-(-11)-7
= -8+11-7
= 3-7
= -4
Step-by-step explanation:
Another customer calls you wanting to know how much fence they should install around the circumference of their circular garden if they bought 204 feet² of topsoil. Assume the customer created a circle out of the soil and calculate the circumference in linear feet. Remember you’ll need to calculate the radius first, then use it to calculate the circumference.
3.
Is this relation a function?
A.
Yes
B.
No
Answer:
Yes
Step-by-step explanation:
There are not multiple of the same Y-values so it is a function.
A shoe store owner uses a 15 percent markup on the merchandise. At what price will she sell shoes that were purchased for $35?
Answer:
$40.25
Step-by-step explanation:
35 increase 15% =
35 × (1 + 15%) = 35 × (1 + 0.15) = 40.25
ZOOM IN IF YOU CANT SEE THE PIC I NEED HELP ASAP
Answer:
5/9
Step-by-step explanation:
Answer:
i think 5/9
Step-by-step explanation:
EF is the midsegment of trapezoid ABCD with AB=12.6, EF=8.8 and DC=x. Determine
the value of x.
PLSSSSS HELPPP ASAPPP
Answer:
C. 5Step-by-step explanation:
Midsegment is the half of the sum of the bases:
EF = 1/2(AB + DC)8.8 = 1/2(12.6 + x)12.6 + x = 2*8.8x = 17.6 - 12.6x = 5Correct option is C
Which of the following functions shows the absolute value parent function
F(x) = [xl, vertically compressed?
O A. G(x) = 14x1
B. G(x) = 12.5x1
C. G(x) = x1
D. G(x) = 10x1
The function which represent the absolute value is G ( x ) = a|x| , where the value of a < 1
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = | x |
This function is symmetric with respect to the y-axis and has a V-shape, with the vertex at (0,0).
To vertically compress the function, we can multiply the function by a constant value less than 1.
And , the function that shows the absolute value parent function f(x) vertically compressed is:
G ( x ) = a| x |, where 0 < a < 1
The value of "a" determines the degree of compression of the function. The smaller the value of "a", the greater the degree of compression.
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Quick check 3
Find slope
Answer:
I believe its C.
Step-by-step explanation:
Slope is always y over x. Since the numbers are positive, i believe its C
Texas is home to about 70% of the 47 species of bats in the United States. About how many species of bats live in Texas?
Answer:
33
Step-by-step explanation:
70% of 47 is 33 species
Answer:
32.9
Step-by-step explanation:
Destiny spent $12.00 of the $20.00 in her wallet.Write a decimal and percent that represents the fraction of the $20.00 that denstiny spent
Answer:
40% and 0.4
Step-by-step explanation:
Write an equation with a variable for the diagram. What is the value of y?
Answer:
Y=18
Step-by-step explanation:
18+13=30 30*3=90
Directions: Calculate the volume of the box in the diagram.
Answer:
6cm^3
Step-by-step explanation:
V = l*w*h
........... ....
Answer:
6
Step-by-step explanation:
3 times 2 =6
6 times 1 =6cm3 (cubed)
An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per hour?
Answer:
695 km and hour
Step-by-step explanation:
7 x 5/6 simplify if possible
Answer:
5 5/6 or 5.83Step-by-step explanation:
To answer make the whole number a fraction.
7/1 x 5/6 = 35/6
To simplify 35/6 see how many times 6 can go into 35. The answer to this is 5. So there is 5/6 left. The answer is 5 5/6.
Have a nice day! Hope this helps!
Last year, Kaitlin opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 28%. (a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal. Year-end amount = 1 x Original amount
Answer:
Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.
Step-by-step explanation:
Given that last year Kaitlin opened an investment account with $ 8,600, and at the end of the year, the amount in the account had decreased by 28%, to determine the year-end amount in terms of the original amount both in whole numbers and in decimals, the following calculation must be performed:
100 - 28 = 72
8,600 x 0.72 = X
6.192 = X
Thus, Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.
The smiths bill at a restaurant is $85 how much money should Mr. Smith leave as a tip if he plans to tip 20%
Answer:
102.00
Step-by-step explanation:
If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Answer: Mr. Smith should tip $17
Step-by-step explanation:
20% = 0.2
$85 × 0.2 = $17
The puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could he have gained?
Perform the indicated operations:
4−1−4
05−2
0810
−7
−11
22
4−1−4
0ab
0cd
−7
88
110
a =
, b =
, c =
, d =
Answer:
A= -40
B= 16
C= 40
D= 50
Step-by-step explanation:
The values of the matrix is a = -40, b = 16, c = 40, d = 50.
What is a matrix?A matrix is an arrangement of numbers, expressions or symbols arranged in rows and columns as a rectangular array. These rows and columns define the size or dimension of a matrix.
For the given situation,
The matrix is
[tex]\left[\begin{array}{ccc}4&-1&-4\\0&5&-2\\0&8&10\end{array}\right] = \left[\begin{array}{c}-7&-11&22\end{array}\right][/tex]
The operation on matrix is
[tex]-8R2- > R2[/tex] and
[tex]5R3- > R3[/tex]
⇒ [tex]\left[\begin{array}{ccc}4&-1&-4\\0&-40&16\\0&40&50\end{array}\right] = \left[\begin{array}{c}-7&88&110\end{array}\right][/tex]
On comparing this equation with the given equation,
[tex]a=-40, b=16, c=40, d=50[/tex]
Hence we can conclude that the values of the matrix is a = -40, b = 16, c = 40, d = 50.
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PLEASE HELP WITHIN 1 hr
a. True/False
To complete the square on the left side of the equation x2 - 6x = 9,
you must subtract the number 9 from both sides.
Answer:
True
Step-by-step explanation:
[tex]x^{2} -6x=9[/tex]
subtract [tex]9[/tex] from both sides
[tex]x^{2} -6x-9[/tex]
plz mark me brainliest. ;)
two parallel roads, Elm Street and Oak Street, are crossed by a third, Walnut Street, as shown in diagram. The value of X is
Answer:
x=16
Step-by-step explanation:
2x + 33 = 5x - 15 (Alternate Interior Angles)
33 + 15 = 5x - 2x
48 = 3x
x= 48/3 = 16
Can someone please help me?:)
i dont know how to do this question can you please explain how to
Answer:
84
Step-by-step explanation:
the perimeter is basically all the way round a shape
P=2l+2d2﹣l2 for the diagnol
hey i need that special someone, 7th grade, 13, somewhat a lil older could be fine,also imma a girl, but yk yeah hmu...
Answer:
mf you are asking this in high school.
Step-by-step explanation:
Find the measure of each interior angle and each exterior angle of a regular pentagon.
The measure of each interior angle is
and the measure of each exterior angle is
Answer:
hope you like it so can you make me brainlest pls
a bakery sold 123 chocolate cupcakes in a day, which was 41% of the total number of cupcakes sold that day. how many total cupcakes did the bakery sell that day?
Answer:
300
Step-by-step explanation:
took the test adn this is right now PLEASE MARK BRAINLIEST
Answer:
they sold 300 cupcakes
Step-by-step explanation:
please mark brainliest
Solve the system by substitution.
y = -3x +4
y = x
Answer:
4
Step-by-step explanation: