Answer:
y = 5/3x + 48
Step-by-step explanation:
y2 - y1 / x2 - x1
28 - 8 / -12 - (-24)
20 / 12
5/3
y = 5/3x + b
8 = 5/3(-24) + b
8 = -40 + b
48 = b
SUPER URGENT: Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, and a phase shift to the left 1 unit.
y =
Answer:
A general sinusoidal equation is:
y = A*sin(w*x + p) + M
where:
A is the amplitude
w is the angular frequency
p is the phase shift
M is the midline.
Now, we know that:
Amplitude must be 6, so A = 6
period is 2*pi/3
Remember that the frequency is the inverse of the period, then:
f = 1/T
f = 1/(2*pi/3) = 3/(2*pi)
And the angular frequency is 2*pi times the normal frequency, then:
w = 2*pi*f = 2*pi*(3/2*pi) = 3
w = 3
Here we not have information about the midline, so M = 0.
And we know that the phase shift is one unit to the left.
Remember horizontal translations:
for a function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, then the translation is to the left
if N < 0 , then the translation is to the right,
Here we know that the phase shift is to the left, so p must be positive, and we know that the shift is 1 unit to the left, then:
p = +1
Replacing these in the equation we get:
y = 6*sin(3*x + 1) + 0
y = 6*sin(3*x + 1)
If a chicken eats 7 food pellets every 10m, and sleeps for 12h, how many pellets would you need for a week and what is the equation
Answer:767
Step-by-step explanation:
The function f(x) is shown below.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
Answer:
f(g(2)) = 2
Step-by-step explanation:
g(2)
g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]
f(g(2))
[tex]g(2) = -3[/tex]
Thus
[tex]f(g(2)) = f(-3)[/tex]
Looking at the table, when [tex]x = -3, f(x) = 2[/tex]
Thus: [tex]f(g(2)) = 2[/tex]
Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.
Answer:
Mean = 29
Step-by-step explanation:
Given that,
The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.
We need to find the mean of the cupcakes for a week.
We know that,
Mean = (sum of observations)/(no. of observations)
[tex]\text{Mean}=\dfrac{23+25+32+35+36+25+27}{7}\\\\=29[/tex]
So, the mean of cupcakes is 29.
How does 3/4 and 9/12are alike and different?
What value of b will cause the system to have an infinite number of solutions? y=6x-b -3x+1/2y=-3
Answer:
b = 6
Step-by-step explanation:
solve the second equation for 'y':
-3x + 1/2y = -3
add 3x to each side to get:
1/2y = 3x - 3
multiply all terms by 2 to eliminate the denominator to get:
y = 6x - 6
now compare '6x-6' with '6x-b'
you want both expressions to be equal because then there are an infinite number of solutions:
b = 6
At a birthday party, 50% of the cupcakes are chocolate. If there are 20 chocolate cupcakes, how many cupcakes are there altogether?
will mark brainliest 1st to answer
Answer:
40 cupcakes
Step-by-step explanation:
Since 50% is chocolate and there is 20 chocolate then there are 40 cupcakes
Hope I helped!
Happy Pride Month
Answer:
40 cupcakes
Step-by-step explanation:
If 50% percent of the cupcakes are chocolate then 20 chocolate cupcakes are half of the total amount of cupcakes so multiply 20 by 2 and get 40 so there are 40 cupcakes in all.
pls help me with this problem mam confused
Answer:
96 yd^2
Step-by-step explanation:
Multiply l • w: 3 • 8 = 24 in
Convert inches to yards using the scale on the right:
24 • 4 = 96 yd^2
please help i have 10 minutes left: )!<3 thank you:) no links please
What is (f • g) (x) ?
Answer:
=12x-3
Step-by-step explanation:
Stick g(x) in for x in the function of f(x)
f(x) = -4x+5
g(x) = -3x+2
f(g(x)) = -4( -3x+2) +5
= 12x -8+5
=12x-3
4. Translate “5 plus the product of 9 and y" into an algebraic expression.
Answer:
5 + 9y
Step-by-step explanation:
When it says plus, it means +. When it says the product of 9 and y, it means 9 × y or 9y.
I need it fast plss help someone help
56 over 15
hope this help yoooooooooooooooooooo
Answer:
22/15
Step-by-step explanation:
(1/3 + 2/5) x (2 - 1/2) ÷ 3/4
=(5/15 + 5/15) x (4/2 - 1/2) ÷ 3/4
=11/15 x 3/2 ÷ 3/4
=11/15 x 3/2 x 4/3
=22/15
Hope this helps! Have a nice day!
Math question!!!!!!!! Plz help
Answer:
A (-1)
Step-by-step explanation:
If you look on number line -1 is more left (smaller).
Answer:
-1
Step-by-step explanation:
-1 is the smallest because 0 and 3 is bigger than -1 because it is a negative number and -1/2 is -0.5 which is bigger than -1. So answer is -1
What is the total surface area of the rectangular prism below in square meters? (Try drawing the net
of the prism if needed.)
5 m
4
2 m
3
m
Answer: The surface area (SA) would be 62 m.
Step-by-step explanation: The formula for surface area of a rectangular prism is SA= 2(length × width + height × length + width × height). We can substitute the length, width and height into the problem and get
SA= 2(3×5 + 2×5 + 3×2). Using the order of operations (PEMDAS) we can simplify the problem down to SA= 2(15 + 10 + 6), then add up what is in the parentheses and get SA= 2(31), and 2×31=62.
If i=
[tex] \sqrt{ - 1} [/tex]
, what is the value of i³?
Answer:
i^3 = -i
Step-by-step explanation:
i^3
Rewriting as
i^2 *i
We know that i^2 = -1
-1 *i
-i
HELP ME PLEASE
find the volume???
Answer:
5.24m
Step-by-step explanation:
volume of a cone = (1/3)πr²h
= (1/3)×(22/7)×1²×5
= 5.24m
What Is the measure of DEF?
Answer:
107
Step-by-step explanation:
EFD + 135 = 180
EFD = 45
DEF + 28 + 45 = 180
DEF + 73 = 180
DEF = 107
Answer:
∠ DEF = 107°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
135° is an exterior angle of the triangle , then
∠ DEF + 28° = 135° ( subtract 28° from both sides )
∠ DEF = 107°
Please help I’ll give brainliest
Answer:
15
Step-by-step explanation:
15 cubed (15×15×15) equals 3375
How do I solve for this?
Answer:
use a midpoint formulae (X2+X1 /2 ; Y2 + Y1 /2 )
(-2+3/2 ; -2+4/2 )
X = 1/2 ; Y = 1
The slope of the line below? answer quickly
Answer:
D: - 2/7
Step-by-step explanation:
The gradient of the line is -2/7 because:
3-1 =2
-4-3=-7
2/-7
suppose that 14 inches of wire costs 84 cents at the same rate how much (in cents) will 7 inches of wire cost?
Answer:
Step-by-step explanation:
84 cents divided by 14 inches = 6 cents per inch
48 cents divided by 6 cents = 8 inches
8 inches of wire can be bought for 48 cents
three-quarter the product of two numbers x and y, what is the algebriac expression?
Answer:
x × y =3/4
Step-by-step explanation:
Product is the keyword and it is the answer to a multiplication equation. Thats why it is a multiplication symbol.
Have a great day! Late ik.
Lilac~
An algebraic expression for the given statement is 3/4 xy.
Given that, three-quarters is the product of two numbers x and y.
We need to write an algebraic expression for the given statement.
What is an algebraic expression?Algebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.
Now, the product of two numbers x and y=xy
Three-quarters is the product of two numbers x and y=3/4 xy
Therefore, an algebraic expression for the given statement is 3/4 xy.
To learn more about an algebraic expression visit:
https://brainly.com/question/19245500.
#SPJ2
Which expression is equivalent to the expression below? 4 x 2/3 A.
A. 6 x 1/3
B.10 x 1/3
C. 2 x 1/3
D. 8 x 1/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]
[tex]\huge\textbf{Simplifying it:}[/tex]
[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{4}{1}\times\dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{8}{3}}[/tex]
[tex]\rightarrow\large\text{Finding out what is equal to: }\rm{\dfrac{8}{3}}\leftarrow[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\huge\text{Option A.}[/tex]
[tex]\mathbf{6\times \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{6}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{6\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{6}{3}}[/tex]
[tex]\mathbf{= 2}[/tex]
~~~~~
[tex]\rm{\bf 2 \neq \dfrac{8}{3}}[/tex]
~~~~~~
[tex]\huge\text{Option B.}[/tex]
[tex]\mathbf{10\times \dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{10}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{10\times1}{1\times 3}}[/tex]
[tex]\mathbf{= \dfrac{10}{3}}[/tex]
~~~~~~
[tex]\rm{\bf \dfrac{10}{3} \neq \dfrac{8}{3}}[/tex]
~~~~~~
[tex]\huge\text{Option C.}[/tex]
[tex]\mathbf{2\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{2}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{2\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{2}{3}}[/tex]
~~~~~
[tex]\rm{\bf \dfrac{2}{3} \neq \dfrac{8}{3}}[/tex]
~~~~~
[tex]\huge\text{Option D.}[/tex]
[tex]\mathbf{8\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{8}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{8\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{8}{3}}[/tex]
~~~~~
[tex]\rm{\dfrac{8}{3} = \dfrac{8}{3}}\large\checkmark[/tex]
~~~~~
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{Option\ D. 8\times \dfrac{1}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
If f(x)= 5x^5+1, then what is the remainder when f(x) is divided by x+1?
Answer:
Remainder = (-4)
Step-by-step explanation:
f(x) = 5[tex]x^{5} + 1[/tex]
x + 1 = 0
x = -1
f(-1) = 5*[tex](-1)^{5} + 1[/tex]
= 5 * (-1) + 1
= -5 +1
= -4
A culture of bacteria has an initial population of 590 bacteria and doubles every 4 hours. Using the formula P+ = Po · 23, where P4 is the population after t hours, Po is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Answer:
1,985
Step-by-step explanation:
p = 590(2)^(7/4)
p = 1,985
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Answer:
Step-by-step explanation:
D is the correct answer
Help please! Thank you:)
Answer:
what kind of math is that?
Step-by-step explanation:
help meee plssss!!!!!
Circumference of circle is 62.8 inches.
Step-by-step explanation:
Using Formula
Circumference of circle = 2 π r
Substitute the values
Circumference of circle = 2 × 3.14 × 10 inches.
multiply the numbers
Circumference of circle = 62.8 inches
Hence, the circumference of circle is 62.8 inches.
Please help will give branliest
-2x+8y-3
Hope this helps! :)
Answer:
-2x + 8y -3
Step-by-step explanation:
-2x = -2x
2y + 6y = 8y
-3 = -3
Find the circumference and the area of a circle with a diameter of 6m.
Use the value 3.14, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
18.84956- using π
Or
18.84- using 3.14
Step-by-step explanation:
Multiple the diameter 6m by π or 3.14
Answer:
A = 28.26 C = 18.84
Step-by-step explanation:
1/2(d) = 1/2(6) = 3
3 is the radius/r
π is said to be in this equation as 3.14
Calculate Area:
A = 1/4πd^2
A = 1/4(π6^2)
A = 1/4(π36)
A = 1/4(113.04)
A = 28.6
Calculate Circumference:
C = 2πr
C = 2(π3)
C = 2(9.42)
C = 18.84