Answer: (the symbol of pi)
Step-by-step explanation: Because if you divide each of those fractions only pi keeps in going without repeating itself.
what is the f(5) for the function f(x)=3x+6
Answer:
21
Step-by-step explanation:
[tex]f(x)=3x+6 \\ \\ plug \: x = 5 \\ \\ f(5)=3(5)+6 \\ \\ f(5)=15+6 \\ \\ f(5)=21[/tex]
Fill in the missing values in the table. Then determine the constant of proportionality.
blank 1) 2 1/3 yards
feet
blank 2)
yards: 3 feet
blank 3) 2 yards :
feet
blank 4)
yards: 4.5 feet
The constant of proportionality is
Answer:
Blank 1) 2 1/3 yards : 7 Feet
Blank 2) 1 yards : 3 Feet
Blank 3) 2 yards : 6 Feet
Blank 4) 1.5 yards : 4.5 Feet
Therefore, the constant of proportionality is: k = 3
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
Here, k is the constant of proportionality.
From the table, taking the first two points to determine the constant of proportionality.
Yards Feet
1/2 1.5
1/3 1
Using the equation
substituting y = 1.5 and x = 1/2
y = kx
k = y/x
k = (1.5) / (1/2)
k = 1.5 / 0.5
k = 3
also substituting y = 1 and x = 1/3
k = y/x
k = 1 / (1/3)
k = 3
As the constant of proportionality is the same.
Therefore, the constant of proportionality = k = 3Determining Blank 1
Yards = x = 2 1/3 = 7/3
y = blank 1 = Feet ?
k = 3
Using the equation
y = kx
blank 1 = Feet = y = 3 (7/3)
blank 1 = Feet = y = 7
Therefore, Blank 1 = y = Feet = 7In other words,
When Yards = 2 1/3, then Feet = 7
Determining Blank 2
Feet = y = 3
Blank 2 = x = yards ?
k = 3
Using the equation
y = kx
Blank 2 = x = yards = y/k
Blank 2 = x = yards = 3/3
Blank 2 = x = yards = 1
Therefore, Blank 2 = yards = x = 1In other words,
When Yards = 1, then Feet = 3
Determining Blank 3
yards = x = 2
Blank 3 = y = Feet ?
k = 3
Using the equation
y = kx
y = Blank 3 = Feet = 3(2)
y = Blank 3 = Feet = 6
Therefore, Blank 3 = Feet = y = 6In other words,
When Yards = 2, then Feet = 6
Determining Blank 4
Feet = y = 4.5
Blank 4 = x = Yards ?
k = 3
Using the equation
y = kx
x = Blank 4 = y/k
x = Blank 4 = 4.5/3
x = Blank 4 = 1.5
Therefore, Blank 4 = x = Yards= 1.5In other words,
When Yards = 1.5, then Feet = 4.5
Summary:
Blank 1) 2 1/3 yards : 7 Feet
Blank 2) 1 yards : 3 Feet
Blank 3) 2 yards : 6 Feet
Blank 4) 1.5 yards : 4.5 Feet
Therefore, the constant of proportionality is: k = 3
Bobby was painting a sign that was 2 3/4 feet by 1 1/2 feet. Use the model to help find the area of the sign.
What was the area of the sign in square feet?
A. 4 1/4 square feet
B. 4 1/8 square feet
C. 3 1/4 square feet
D. 3 1/8 square feet
Answer:
4 1/8 square feet
Step-by-step explanation:
Area= l*b assuming that it's a rectangle or a square
2 3/4* 1 1/2= to do this we need to convert these mixed fractions to improper fractions (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator. Then write the result on top of the denominator.)
so, 2 3/4 converted will be- 11/4
& 1 1/2 converted will be- 3/2
11/4*3/2=33/8
Now we need to convert this into a mixed fraction again, coz the question was given in that form. (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator Then write the result on top of the denominator.)- so,
The ans would be 4 1/8 sqft
Part A
Based on the graph, how many zeros does the polynomial function, f(x) = -x^4 - 3x^3 + 6x^2 + 8x have?
Part B
What are the zeroes of the above polynomial function?
A. -4,0,2,3
B. 0, 2 only
C. -4,-1, 0, 2
D. -4, 2 only
Answer:
Part A: There are 4 zeros of the polynomial function f(x)
Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2 ⇒ C
Step-by-step explanation:
The zeroes of a function are the x-coordinates of the point of intersection between the graph of the function and the x-axis (x-intercepts) which means values of x at y = 0
Part A:
In the given graph
∵ The graph of the function f(x) = -[tex]x^{4}[/tex] - 3x³ + 6x² + 8x intersects the x-axis
at 4 points
→ That means there are 4 values of x have y = 0
∴ The number of zeroes of the function is 4
∴ There are 4 zeros of the polynomial function f(x)
Part B:
∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)
→ That means the values of x at y = 0 are -4, -1, 0, 2
∴ f(x) = 0 at x = -4, -1, 0, 2
∴ The zeroes of the polynomial function f(x) are -4, -1, 0, 2
can someone help me w. this
Answer:
Step-by-step explanation:
(x, y) ----> (- x, y)
J(4, 1) ------> J' (- 4, 1)
K(1, 0) -----> K' (- 1, 0)
L(2, - 4) ----> L' (- 2, - 4)
(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider charges $10 per month plus an activation fee of $20. A second cellphone provider charges $11 per month plus an activation fee of $15. For what number of months is the cost of either cellphone provider the same?
Answer:
Hope it can help you.......
If you understand my answer, You can mark me as a brainlist...........
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Please Help please please
Answer:
5.25
Step-by-step explanation:
Take the distance between the two points and divide by 2.
The distance between the two is 10.5 (9.1-(-1.4))
Divide by two to find the midpoint.
Answer: 3.85
Step-by-step explanation:
find the mean of the 2 numbers, that is the midpoint.
PLEASE HELP ME HURRY
2/5 of the class is male
40% of the class is male
3/5 of the class is female
60% of the class is female
Not sure if this is right, but this is what I got.
4.1 & 4.2 Review
1. Write an equation of the line with a slope of and a y-intercept of -8.
WILL MAKE BRAINLEST PLS HELP
14. A pair of cars, 280 miles apart, begin at the
same time to run toward each other. If car A from
city A runs at a rate that is 10 mph faster than car
B from city B, and if they meet 2 hours later, how
far is the place they meet away from city A?
Please help
Answer:
Step-by-step explanation:
hi malak
Eight more then seventimes a number (x) is atleast twenty nine
Answer:A number increased by seventeen is equal to seventy-three. x + 17 = 73
Some number decreased by seven is thirty-three. x - 7 = 33
A number increased by twelve is forty. x + 12 = 40
A number increased by fifteen is sixty-two. x + 15 = 62
Eight less than a number is nine. x - 8 = 9
A number divided by 11 is 4. x/11 = 4
Seven more than three times a number is 19. 3x + 7 = 19
Four more than five times a number is thirty-six. 5x + 4 = 35
Eight less than nine times a number is eleven. 9x - 8 = 11
Twelve more than four times a number is seven. 4x + 12 = 7
Seven more than triple a number is fifteen. 3x + 7 = 15
Seven times a number increased by eight equals twenty-three. 7x + 8 = 23
Eight more than six times a numbers is eleven. 6x + 8 = 11
Nine times a number increased by thirteen is twelve. 9x + 13 = 12
The quotient of a number and four is seventeen. x/4 = 17
A number increased by seven is twenty-five. x + 7 = 25
Fifty-five is the sum of a number and sixteen. x + 16 = 55
The product of a number and eleven is seventy-five. 11x = 75
Eight times a number increased by eleven is thirty-seven. 8x + 11 = 37
The difference of a number and twelve is thirty-four. x - 12 = 34
Step-by-step explanation:
Answer:
x is equal to or greater than 3
Step-by-step explanation:
7x + 8 => 29
7x => 21
x => 3
3+1
X +5
1
1
2-1
What values of x satisfy the above equation?
Hailey's hair grows at a rate of 1/2 inch per month. How many months will it take her hair to grow a total of 8 inches?
Answer:
16 months for it to grow 8 inches
Answer:
16
Step-by-step explanation:
growth in 1 month = 1/2 inches
growth in x months = x*1/2 inches
total growth = 8 inches
thus,
8 = x*1/2
x = 8 / (1/2)
= 16
What angle pair relationship is shown?
A Alternate Interior
B. Alternate Exterior
C. Corresponding
D. Same Side Interior
Answer:
hmmmmmmmmmmmm ( thanks heavily in mind) if I can remember correctly I'm pretty sure it would be c
Step-by-step explanation:
I done this question for
please help! 1 quick question! xoxo
Select the correct answer.
Janet sells custom artwork online. Her business profits for the month of August are shown in the table.
Week Profit
week 1 $56.92
week 2 -$16.54
week 3 $45.58
week 4 -$21.74
How much more profit did Janet make in week 2 than in week 4?
A.
-$38.28
B.
-$5.20
C.
$5.20
D.
$38.28
E.
$40.25
Answer:
B. -5.20.
Step-by-step explanation:
We can see that Janet made more in week 4 then in week 2, so that means the answer will have to be a negative. To find the exact answer, we take away 21.74 from 16.54. This gets us -5.2, which is equivalent to -$5.20. I hope this helps!
a number is 2/3 of another number. if the sum of the two numbers is 30, find the smaller number.
Answer: The numbers are 4 and 6.
Step-by-step explanation:
Let one number be represented as
x
and the other as
y
.
According to the problem:
x
=
2
3
y
and
x
+
y
=
10
From the second equation we get:
x
+
y
=
10
∴
y
=
10
−
x
(subtracting
x
from both sides)
Replacing the value of
y
in the first equation we get:
x
=
2
3
y
x
=
2
3
(
10
−
x
)
Multiplying both sides by
3
we get:
3
x
=
2
(
10
−
x
)
Opening the brackets and simplifying we get:
3
x
=
20
−
2
x
Add
2
x
to both sides.
5
x
=
20
Divide both sides by
5
.
x
=
4
Since from the second equation we have:
x
+
y
=
10
substituting
x
with
4
we get:
4
+
y
=
10
Subtract
4
from both sides.
y
=
6
Answer: The smaller number is 12.
Step-by-step explanation:
Just took the test
Which of the following best describes how the y values are changing over each interval? x y 1 20 2 40 3 80 4 160 5 320 They are increasing by 20 each time. They are increasing by 40 each time. They are being multiplied by 2 each time. They are being multiplied by 4 each time.
Answer:
They are being multiplied by 2 each time.
Step-by-step explanation:
The y values are increasing by the multiplication of 2.
What is an sequence ?"Sequence and series is one of the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements. An arithmetic progression is one of the common examples of sequence and series.
In short, a sequence is a list of items/objects which have been arranged in a sequential way.
A series can be highly generalized as the sum of all the terms in a sequence. However, there has to be a definite relationship between all the terms of the sequence."
The given sequence is 20, 40, 80, 160, 320
So it is clear that the each term of the sequence is being multiplied by 2. Hence, C is the correct option.
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find the area of the circle
Answer:
200.96
Step-by-step explanation:
A = 3.14(8^2)
3.14 * 8 * 8
3.14 * 64
200.96
Answer:
if it is 1.1 times 8 that would be 8.8, but if it is just 11 times 8 that would be 88.
Step-by-step explanation:
URGENT!!!!!!!!!!!!!! help please!!!
Please answer I need help
Answer:
B, C, D
Step-by-step explanation:
The following picture below proves that option b, c, and d are the correct pairs that satisfy the function y=7x+5.
Hope this helps! :)
Find the sale price. Round to the nearest cent. regular price: $49.71 percent of discount: 20%
Answer:
$39.77
Step-by-step explanation:
Can someone help me with both these answers I’m marking brainliest
Answer:
X = 12/60%
60% = 0.6
X = 12/0.6
X = 20.
For the second one, multiply 350 by 0.02, which is just 2% in decimal form.
350*0.02 =7
That's 7 eggs.
Hope this helps!
what is the slope of a line perpendicular to the line y=-1/4x-1
slope of line perpendicular to the line y=-1/4x-1 is 4.
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
Let us write the given equation y=-1/4x-1
If we compare the given equation with slope intercept form
We get to know slope of line m is -1/4.
It two lines are perpendicular then the product of their slopes will be -1
-1/4×m=-1
m=4
Hence slope of line perpendicular to the line y=-1/4x-1 is 4.
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which of the following equations is equivalent to y=lnx?
a. y=e^x
b. x=e^y
c. x=y^e
d. y=x^e
Answer:
B. x=e^y
Step-by-step explanation:
Took the quiz.
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the expression y=ln(x). Therefore, if we simplify the expression then we can write,
y = ln (x)
Taking anti-log,
x = e^y
Hence, the correct option is B.
Learn more about Expression:
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Which of the following equations have no solutions?
Answer:
A
Step-by-step explanation:
If the variable quantities are the same, but the constants are different, then that equation has no solutions.
PLEASE HELP ....ITS DUE TODAY!!
Answer:
B- (-5, -6)
Step-by-step explanation:
By looking on the graph, if you were to reflect this point across the x-axis if will fall under point (-5, -6)
I hope this helps! If not I'm so sorry! Have a lovely day.
An equilateral triangle has a side labeled 3x. The perimeter of the triangle is 99 cm. what is the measure of the sides of the triangle?
[tex]\underline{\underline{\frak{\qquad Given :\qquad}}} \\ [/tex]
An equilateral triangle has a side labeled 3x. The perimeter of the triangle is 99 cm.[tex]\underline{\underline{\frak{\qquad To\:Find :\qquad}}} \\ [/tex]
The measure of the sides of the traingle = ?[tex]\underline{\underline{\frak{\qquad Solution :\qquad}}} \\ [/tex]
An equilateral triangle has a side labeled 3x.Perimeter of an equilateral traingle = 99 cm☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\[/tex]
[tex]:\implies \sf Perimeter_{(of \: equilateral \: \Delta)} = 3a \\ \\ \\ [/tex]
[tex]:\implies \sf 99 = 3(3x) \\ \\ \\ [/tex]
[tex]:\implies \sf 99 = 9x\\ \\ \\ [/tex]
[tex]:\implies \sf x = \dfrac{99}{9} \\ \\ \\ [/tex]
[tex]:\implies \sf x = 11 \: cm \\ \\ \\ [/tex]
[tex]\bigstar \: \underline{\textsf{The measure of the sides of the equilateral traingle :}} \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf Side_{(of \: equilateral \: \Delta)} = 3x \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf Side_{(of \: equilateral \: \Delta)} = 3(11) \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\: \underline{ \boxed{\sf Side_{(of \: equilateral \: \Delta)} = 33 \: cm}} \\ \\ [/tex]
[tex]\therefore\:\underline{\textsf{The measure of the sides of the traingle is \textbf{33 cm}}}. \\ \\ [/tex]
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\underline{\frak{\qquad Verification :\qquad}}} \\[/tex]
[tex]\longrightarrow\: \sf 99 = 3(3x) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \sf 99 = 3(3 \times 11) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \sf 99 = 3(33) \\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \underline{ \boxed{\sf 99 = 99}}\\ \\ \\ \\ [/tex]
[tex]\longrightarrow\: \underline{ \boxed{\sf LHS = RHS}}\\ \\ \\ \\ [/tex]
[tex]\underline{\underline{\frak{\qquad Hence, Verified\qquad}}} \\ \\ [/tex]
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what is 57 + -4 + 9
Answer:
the answer is 62
Step-by-step explanation:
57+(-4)+9
53+9=62