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.
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if f(x)=x^2+4x-12. find f(2)
Answer:
f(2) = 28
Step-by-step explanation:
By evaluating the function in x = 2 we will see that f(2) = 0.
How to evaluate a function?Here we have:
[tex]f(x) = x^2 + 4x - 12[/tex]
and we want to find f(2), so we need to evaluate in x = 2.
To do this, we just replace the "x" in the function by the number 2, we will get:
[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]
So we can conclude that f(2) = 0.
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The length of a rectangle is 2 feet less than 4 times the width. The area is 256ft2. Find the dimensions of the rectangle.
Answer:
[tex]W = 8.255[/tex]
[tex]L = 31.02[/tex]
Step-by-step explanation:
Let L = Length and W = Width.
So:
[tex]L = 4W - 2[/tex]
[tex]Area = 256[/tex]
Required
Find L and W
Area is calculated as:
[tex]Area = L * W[/tex]
Substitute 4W - 2 for L and 256 for Area
[tex]Area = (4W - 2) * W[/tex]
[tex]256 = (4W - 2) * W[/tex]
Open Bracket
[tex]256 = 4W^2 - 2W[/tex]
Divide through by 2
[tex]128 = 2W^2 - W[/tex]
Equate to 0
[tex]2W^2 - W - 128 = 0[/tex]
An equation [tex]aw^2 + bw + c = 0[/tex] has the roots
[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 2[/tex] [tex]b = -1[/tex] [tex]c = -128[/tex]
So:
[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]
[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]
[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]
[tex]W = \frac{1\± 32.02}{4}[/tex]
[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]
[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]
[tex]W = 8.255[/tex] or [tex]W = -7.755[/tex]
But the dimension can not be negative.
So:
[tex]W = 8.255[/tex]
Recall:
[tex]L = 4W - 2[/tex]
[tex]L = 4 * 8.255 - 2[/tex]
[tex]L = 31.02[/tex]
find the slope of the line through each pair of points (6, 10) , (-1, 10)
Answer:
-7Step-by-step explanation:
Slope is rise/run or change in y over change in x.
To calculate rise we subtract y2 from y1.
-1 - 6 = -7
RUN: -7
To calculate run we subtract x2 from x1.
10 - 10 = 0
RISE: 0
Slope is -7/0
Pls help me with the answer
Answer:
I found out the answer, it's 2/3
Step-by-step explanation:
I hope that helped!
sammy and two friends rented three life jackets and a sailboat . the life jackets were $3 each and boat was $12 an hour . The total cost was $81 . for how many hours did they rent the sailboat
3 life jackets $3.00= $9.00
1 sailboat $12.00/hr
Total cost = $93.00
93-9= 84
84/12= 7
7 hours
PLEASE HELP ILL GIVE BRAINLIEST!!
180 deg rotation about the origin and a translation 2 units left
5s - (-6s – 10) < 5s + 9 + 5s
Answer:
see in picture
...........
*PLS HELP MEE* There are 80 servings in a box of cereal. Each serving size is 1/8 of a cup of cereal. If one person eats 1 cup and another eats 3 cups, how many cups are left in the box of cereal?
Answer:
2 cups left in the ceral box!
Step-by-step explanation:
please just trust me i worked it out and got the answer and you just have to trust me please! MAY I HAVE BRAINLIEST IF ITS RIGHT? HAVE A GREAT DAY!!!
Evaluate the expression when x = 9.2 and y = 3.4.
5xy
Answer:
5x9.2x3.4=156.4
Step-by-step explanation:
plug in 9.2 for x and 3.4 for y then multiply
Kendra knits hats. She starts with 334 yd of yarn. After knitting for 514 h, there is 118 yd of yarn left. At what rate does the amount of yarn change? Show your work.
Answer:
Step-by-step explanation:
Total yarn = 334 yards
Amount remaining = 118 yards
Amount knitted = 512
amount per hat =x
amount used = y
amount used = 334 - 118 = 514*x
y= 216= 514x
216 = 514 x Divide by 514
216/514 = x
.42 yards/hat = x
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
3%
?
Answer:
4.50
Step-by-step explanation:
Answer:
Sales tax:1.50, total cost:51.50
Step-by-step explanation:
price x sales tax rate = sales tax
50 x .03 (3%) = 1.50 sales tax
price + sales tax = total cost of item
50 + 1.50 = 51.50
What’s the domain and range of a horizontal line?
What’s the domain and range of a vertical line?
The horizontal line has infinite domains but a range that has only one value.
The vertical line has a domain is the -intercept, and its range is "all real numbers."
Given that,
The horizontal and vertical lines.
Since we know that,
Linear functions always have infinite domains and ranges.
The exception is when the graph is a horizontal line.
This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.
And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;
Hence its domain is the -intercept, and its range is "all real numbers."
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I know I haven't been on this app for a long time but can ya'll help me
Answer:
2774
Step-by-step explanation:
start by multiplying 2 by 7, the answer is 14 put the 1 above the 8 in 1387 then put the 4 under the equation, similar to addition. repeat but next time when you multiply 2 by 8 add the 1 (from the previous multiplication) to the answer under and put the 1 from 17 on top of the 3. you get it?
Very much need help
17+(−8)+(−8) CAN YOU HELP GUY pls
Answer:
1
Step-by-step explanation:
17 + (-8) + (-8) = 17 + (-16)
= 1
If two numbers have same sign, then add and put the sign.
So, add (-8)and (-8), the result will have the sign (-). -16
If two numbers have different sign, subtract and the result will have the sign of the bigger number.
17 and (-16) have different sign and the bigger number sign is +
So, the result is 1
Easy :PP
Answer~1
Explination~you would start by adding (-8)+(-8)-8 + -8
=
-16
Then add 17-16 + 17
=
1
------------------------------------------------------------------------hope I helped!!Find the length of the hypotenuse of the right triangle.
40
048
041
None of the other answers are correct
40
26
Answer:
Ans. 41
Step-by-step explanation:
By using the formula of pythagoras theorem,
h^2 = p^2+b^2
or, h = sqrt(9^2+40^2)
or, h = sqrt(81+1600)
or, h = sqrt(1681)
or, h = sqrt(41^2)
or, h = 41 #
You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year?
Answer:
Choice A. $2,392 is the correct answer
Evaluate 1/2t + 3/8 when t= 1/4
Answer:
1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
1/2t + 3/8
t = 1/4
Step 2: Evaluate
Substitute: 1/2(1/4) + 3/8Multiply: 1/8 + 3/8Add: 4/8Simplify: 1/2Combine like terms:
8b + 8 -4b -3
Which system of equations is represented by the graph?
What is the sum of 2x-5x+x+y
Answer:
-2x + y
Step-by-step explanation:
2x - 5x + x + y
combine all like terms ( x with x and y with y)
-2x + y
Hope this helps!!!
Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.
Answer:
B. The graph is a horizontal line.
Step-by-step explanation:
brainest plz
In September, Shalee had some money in her bank account. In October she earned $48.24 and put it in her account. In November she spent three-fourths of the money in her bank account on a dress. If she spent $68.28 on the dress, how much money did she have in her account in September?
Answer:
x = $42.8
Step-by-step explanation:
Let
Amount of money shalee has in Sept = $x
Shalee October earnings = $48.24
Total money = $x + $48.24
She spent 3/4 of the money on dress
3/4 of (x + 48.24) = $68.28
3/4 * x + 48.24 = 68.28
3/4x + 144.72/4 = 68.28
3/4x + 36.18 = 68.28
3/4x = 68.28 - 36.18
3/4x = 32.10
x = 32.10 ÷ 3/4
= 32.10 × 4/3
= 128.4/3
= 42.8
x = $42.8
Find the equation of the line that is parallel to the given line and passes through the given point.
y = −6x + 8; (4, 5)
The equation is y = .
Answer:
get smart
Step-by-step explanation:
f (x) = 3x + 5
Solve for x=5
can you help me answer this question
Answer:
it would be 18 over 5
2(4x-1) = -8x-2 no solution or infinitely many solution
Answer:
One solution only.
Step-by-step explanation:
2 ( 4x - 1 ) = -8x - 2
8x - 2 = -8x - 2
0 = 0
One solution only.
Which one should I choose
Answer:
-32
Step-by-step explanation:
((−4)(4))(2)
=−32
Answer:
-32
Step-by-step explanation:
hope this helps you out
Adventure Time
Come on grab your friends
We'll go to very distant lands
With Jake the Dog and Finn the Human
The fun will never end, it's Adventure Time!
Answer:
so i graphed it and it does end
Step-by-step explanation:
Answer:
Adventure time is a great show they shouldve made more episodes
Step-by-step explanation:
i have a question, what is a number increased by twelve? in expression symbols . . .
Answer:
well it would be +12, does that answer your question?