Answers
Answer: the first option.
Step-by-step explanation:
Answer:
[tex]f(x) = \sqrt{x } - 2 \ \\ f(x) = 5 \sqrt{x} [/tex]
Related Questions
solve the equation
[tex]log10 \: ( {x}^{2} - 4x + 7) = 2[/tex]
Answers
Answer:
x = 2 ±sqrt( 97)
Step-by-step explanation:
log10(x^2 -4x+7) =2
Raise each side to the base 10
10 ^ log10(x^2 -4x+7) =10^2
x^2 -4x +7 = 100
Subtract 7 from each side
x^2 -4x+7-7 = 100-7
x^2 -4x = 93
Complete the square
-4/2 = -2 (-2)^2 = 4
Add 4 to each side
x^2 -4x+4 = 93+4
(x-2)^2 = 97
Take the square root of each side
sqrt((x-2)^2 )=±sqrt( 97)
x-2 = ±sqrt( 97)
Add 2 to each side
x = 2 ±sqrt( 97)
Need help with this, don't understand it. we weren't taught how to do this
Answers
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Any relation that is different from a straight line with a defined constant slope will be a relation that is either or both of ...
not a functionnot linear__
a) degree 3, not linear
b) a linear function
c) a vertical line with undefined slope, not a function
d) a curve opening downward, not linear
e) a line with a bend in the middle, not linear
f) a linear function
i) [(2⁵)×7³] /(8³×7)
=8³ can be written as =(2×2×2)³
=(2³)³
we have,
=[(2⁵)²×7³) / [(2³)³×7)
=(2⁵×2×7³)/[(2³×3×7) ....(▪︎(Am)n=(amn)
=(2¹⁰×7³)/(2⁹×7)
=(2¹⁰×7³)/(2⁹×7)
=(2¹⁰-a×7³-¹)▪︎▪︎▪︎(▪︎am÷an=am-n)
=2×7²
=2×7×7
=97
-------
It's answer is correct and wrong
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Answers
Answer:
its 196
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLY!!
What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point
Answers
Answer:
24.68 gram
Step-by-step explanation:
Given that :
Volume = 182.8 ml
Density of liquid = 0.135 gram/ml
Recall :
Density = mass (g/ml) / volume (ml)
Substitute the value into the equation :
0.135 = mass / 182.8
Mass = 0.135 * 182.8
Mass = 24.678 gram
Hence, weight = 24.678 grams
What is the resulting ordered pair if the value of the independent variable is 2?
f(x) = -5x + 4
Answers
Answer:
y= -6
x = 2
(2,-6)
Step-by-step explanation:
Indepedent variable = x = 2
Plug 2 in for x
f(2) = -5(2) + 4
-10 + 4 = -6
y = -6
Answer : x= 2 & y= -6
f(x) = –5x + 4
Putting x=2 f(x) = –5(2) + 4 f(x) = -10+4 = -6
So, x=2 , y=-6
According to above explanation, (2, –6) , is the correct answer.
(1-sinx+cosx)^2 = 2(1+sinx)(1+cosx)
Answers
If you're trying to establish an identity, the given equation is not an identity. The proper identity would be as follows:
(1 - sin(x) + cos(x))² = (1 - sin(x))² + 2 (1 - sin(x)) cos(x) + cos²(x)
… = (1 - 2 sin(x) + sin²(x)) + 2 (1 - sin(x)) cos(x) + cos²(x)
… = 2 - 2 sin(x) + 2 (1 - sin(x)) cos(x)
… = 2 - 2 sin(x) + 2 cos(x) - 2 sin(x) cos(x)
… = 2 (1 - sin(x) + cos(x) - sin(x) cos(x))
… = 2 (1 - sin(x) + cos(x) (1 - sin(x)))
… = 2 (1 - sin(x)) (1 + cos(x))
But if you're trying to solve an equation:
(1 - sin(x) + cos(x))² = 2 (1 + sin(x)) (1 + cos(x))
2 (1 - sin(x)) (1 + cos(x)) = 2 (1 + sin(x)) (1 + cos(x))
(1 - sin(x)) (1 + cos(x)) - (1 + sin(x)) (1 + cos(x)) = 0
(1 + cos(x)) (1 - sin(x) - 1 - sin(x)) = 0
-2 sin(x) (1 + cos(x)) = 0
sin(x) = 0 or 1 + cos(x) = 0
sin(x) = 0 or cos(x) = -1
[x = arcsin(0) + 2nπ or x = arcsin(0) + π + 2nπ] or
… [x = arccos(-1) + 2nπ]
We have arcsin(0) = 0 and arccos(-1) = π, so the solution set reduces to
x = 2nπ or x = (2n + 1)π
(where n is any integer)
Can someone explain this
Answers
=========================================================
Explanation:
Let x be the unknown angle we want to find. This angle is in degrees.
The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.
We use the tangent ratio to tie the two sides together
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(x) = \frac{19}{35}\\\\x = \tan^{-1}\left(\frac{19}{35}\right)\\\\x \approx 28.4956386\\\\x \approx 28\\\\[/tex]
Note: The notation [tex]\tan^{-1}[/tex] refers to the inverse tangent, or arctangent.
(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this
Answers
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
[tex]\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]
To start, we can multiply the fraction by (1 - sin(θ)). This yields:
[tex]\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta[/tex]
Simplify. The denominator uses the difference of two squares pattern:
[tex]\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta[/tex]
Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:
[tex]\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]
Split into two separate fractions:
[tex]\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta[/tex]
Rewrite the two fractions:
[tex]\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta[/tex]
By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:
[tex]\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta[/tex]
Hence verified.
A. Explain why the point (100,2) is on the graph.
B. What is the x-intercept of the graph? Explain how you know.
49
C. When will the graph meet the line y = 5? Explain how you know.
Answers
Answer:
the log function is the "inverse" function of an exponential function
by definition [tex]log_{a} b = c[/tex] then [tex]a^{c} = b[/tex]
in this problem you have [tex]log_{10} 100[/tex]
thus what x solves this ? [tex]10^{x} = 100[/tex] the answer is [tex]10^{2}[/tex]
thus (100,2)
B) the x intercept is when y = 0
[tex]10^{0} = 1[/tex]
x intercept at (1,0)
C) at 100, the curve will hit y = 5000
Step-by-step explanation:
THIS IS TIMED I NEED THE ANSWER NOW
Answers
Answer:
114 pi or 359
Step-by-step explanation:
Please hurry I will mark you brainliest
1. Explain a situation where you would expect to have a partial variation.
What makes this example a partial variation?
2. Explain a situation where you would expect to have a direct variation.
What makes this example a direct variation?
You can include a diagram/graph in your explanation if you wish.
Answers
Answer:
Here's the answers
Step-by-step explanation:
1. When two variables are in relation with a formula or a variable is related by the sum of two or more variables, then it is a partial variation. X = KY + C (where K and C are constants) is a straight line equation which is an example of partial variation.
2. The formula y=kxn y = k x n is used for direct variation. The value k is a nonzero constant greater than zero and is called the constant of variation.
please help geometry work coordinates
Answers
Answer:
(a,a)
Step-by-step explanation:
Keep in mind that the vertical line represents the y axis and the horizontal line represents the x axis
We want to find the coordinates of C
We can do this by looking at the given coordinates and the axis..
We are given that B is at (0,a) and we are given that D is at (a,0)
Now looking at C, we can tell that C shares the same y value as B and the same x value as D
If B has a y value of a and D has an x value of a then C would have an x and y value of a
Hence C would be at (a,a)
Which rule is a recursive rule for the sequence
1, – 6, 36, – 216,
...?
Ο o An
-
6. An-1
ο o an
.
6
An-1
o an
6. An-1
1
ο o an
-
.
6
an-1
1
2
3
Answers
Is -46.2 a irrational number
Answers
Answer:
No
Step-by-step explanation:
irrational numbers have nonrepeating and non terminating decimals
This decimal stops at one digit so this is a rational number
Answer:
I would say no
Step-by-step explanation:
An irrational number can't be written as a simple fraction.
The volume of the triangular prism is 54 cubic units.
What is the value of x?
O 3
O 5
7
09
3x
Answers
Answer:
3
Step-by-step explanation:
The value of x is 3 if the volume of the triangular prism is 54 cubic units.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that volume of the triangular prism is 54 cubic units.
We have to find the value of x
The volume of the prism with triangular base is 54 unit³.
The base is a triangle with,
base = 4 units
height = x units
height of the prism = 3x
V= 6x²
54= 6x²
Divide both sides by 6
x² = 9
x=3
Hence, the value of x is 3 if the volume of the triangular prism is 54 cubic units.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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Combine these radicals.
Anyone pls I need
Answers
Answer:
-26 sqrt(3)
Step-by-step explanation:
-12 sqrt(12) - 2 sqrt(3)
Rewriting
-12 sqrt(4*3) - 2 sqrt(3)
We know sqrt(ab) = sqrt(a)sqrt(b)
-12 sqrt(4)sqrt(3) - 2 sqrt(3)
-12 (2) sqrt(3) - 2 sqrt(3)
-24 sqrt(3) - 2 sqrt(3)
-26 sqrt(3)
create another show real life multi-step function problems with Solutions in quadratics
Answers
Answer:
Kazan also SOS jz zks zj sj aka always zks. aiwow
Please answer ASAP!!! A ski store has 60 different boots available, 30 different pairs of skis, and 40 different hats.
If a customer were to only buy ONE item, how many different ways can a customer purchase an item from the store?
Answers
In this question, the client will buy one item, which is composed by a boot, a pair of skis and a hat. Since the items are independent, the fundamental counting principle can be used.
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
60 boots, 30 pairs of skis, 40 hats. So
60*30*40 = 72,000
The customer can purchase an item in 72,000 ways from the store.
For another example of the fundamental counting principle, you can check https://brainly.com/question/24067651
What percentage is 150 grams of 400 grams?
1 %
Answers
Answer:
37.5%
Step-by-step explanation:
150/450 = .375 = 37.5%
The percentage is 150 grams out of 400 grams will be 37.5%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
It is given that the difference between the initial and final value is 15 grams and the initial value is 400 grams.
Then the percentage is 150 grams out of 400 grams will be
P = (150 / 400) x 100
P = 0.375 x 100
P = 37.5%
Thus, the percentage is 150 grams out of 400 grams will be 37.5%.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Question 1 (1 point)
The perimeter of an iPad Air is 820 mm. Its length is 100 mm less than twice the
width.
If x = the length of the iPad Air and y = the width of the iPad Air, the linear system of
equations that could be used to model this situations is,
2x + 2y = a
bx = cy-d
The value of a is:
Answers
Answer:
a is the perimeter which is given as 820 mm.
Step-by-step explanation:
Perimeter, P = 820 mm
Length is 100 m less than twice of width
let the length is x and the width is y.
So,
x = 2 y - 100
P = 2 (x + y)
820 = 2 (2y - 100 + y)
410 = 3 y - 100
3 y = 510
y = 170 mm
x = 2 x 170 - 100 = 240 mm
The equation is
2 x = 2 y = a
where, a is the perimeter which is given as 820 mm.
factor as the product of two binomials x2+6x-7
Answers
Answer:
(x-1)(x+7)
Step-by-step explanation:
did it on a test and got it right :))
How do I find out the square root of a perfect square
Answers
Note:
(1) Multiplying two negative numbers will also result in a positive number. Therefore, (-5)*(-5) is also equal to 25. So, -5 is also a square root of 25. But, in general, we assume the square roots of a positive number to be a positive number.
(2) The square root of 1 is always 1.
We represent the square root of a number by a radical sign (√). Example: √36 = 6 (because 6 x 6 = 36)
Note:
(3) Finding the square root of a negative number (i.e. when the negative sign is inside the radical sign i.e. √-36) is a bit complex and is out of context for this article.
(4) if the minus sign is given outside the radical sign (i.e. -√36), then the answer will always be -6.
There are two types of numbers:
Numbers which are a perfect square: Product of an integer with itself. For example, 9*9 = 81.
Numbers which are an imperfect square: Multiplying any number with itself. For example, 2.236*2.236 = 5.
Finding the square root of an imperfect square is a little more difficult than finding the square root of a perfect square number. We will be covering both the topics in this particular article. But before that, we have to understand what square roots are used for.
For example, Rhea is looking for an apartment in Delhi. She is looking for a 2 bedroom apartment where she can live with her sister. A few phone calls later, she has shortlisted two places after seeing their pictures online. One is 1600 square feet with a balcony and the other is 2500 square feet with two balconies. Now, she can easily gauge the size of the first apartment as 40 feet by 40 feet. The second apartment would be 50 feet by 50 feet. This was just an example. Square roots are used for multiple purposes like these.
Now coming to our main topic, i.e., how to find the square root of a number?
(A) Perfect Square Numbers:-
Before finding the square roots of a number, we have to know the squares of the first 9 natural numbers.
1*1 = 1
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25
6*6 = 36
7*7 = 49
8*8 = 64
9*9 = 81
8w + 19 - 4w = -5? What is the value of w?
Answers
Answer:
4w = -5-19
4w=-24
w=-6
hope that answers your question
good luck
Find the distance between the two points.
(-2,5)
✓ [?]
(4,-2)
Enter the number that
goes beneath the
radical symbol.
Enter
Answers
Answer:
√85
Step-by-step explanation:
We can find the distance between two points by using this formula
d = √(x2 - x1)² + (y2 - y1)²
Where the x and y values are derived from the two given points
The two given points are (-2,5) and (4,-2)
Remember that coordinates are written as (x,y)
Next we want to define our variables ( x2, x1, y2 and y1 are the variables)
x2 = 4
x1 = -2
y2 = -2
y1 = 5
Now to find the distance between the two points we simply substitute the values of the variables into the formula
Formula: d = √(x2 - x1)² + (y2 - y1)²
x2 = 4, x1 = -2, y2 = -2 and y1 = 5
d = √(4 - (-2))² + (-2 - 5)²
The two negative signs before the 2 cancel out and it changes to + 2
d = √(4 + 2)² + (-2 - 5)²
Add 4 and 2
d = √6² + (-2 - 5)²
Subtract -2 and -5
d = √6² + -7²
Apply the exponents
d = √36 + 49
Add 36 and 49
d = √85
We can conclude that the distance between the two points is √85
PLEASE HELP! WILL MARK BRAINLIEST
Answers
Answer:
Corresponding angles postulate
Step-by-step explanation:
<3 and <7 are corresponding angles and if corresponding angles are equal, the lines are parallel.
(x + 74) − 318 = 200
Answers
Answer:
(x + 74) - 318 = 200
x + 74 = 200 + 318
x +74 = 518
x = 518 - 74
x = 444
I hope this is helpful to you.
I need help with this
Answers
Answer:
45
Step-by-step explanation:
find the missing side
Answers
Answer:
[tex]\boxed{x=13.89\:km}[/tex]
Step-by-step explanation:
Pythagorean theorem
[tex]x^2=(12^2)+(7^2)[/tex]
[tex]x^2=144+49[/tex]
[tex]x^2=193[/tex]
[tex]x=\sqrt{193}[/tex]
[tex]\boxed{x=13.89\:km}[/tex]
Select all the expressions that represent the difference of the length to width ratios for rectangle A and rectangle B, where W is the width of rectangle A.
Answers
Answer:
w+5/w - w+1/2w
w+9/2w
Step-by-step explanation:
Answer:
A&D are corect
Step-by-step explanation:
combine like terms
R. White and Co. Has total profit of 6/7 million dollars. The spinning department gave a profit 1/4 of million dollars. Find the fraction of profit from other departments.
Answers
Answer:
Fraction of profit from other departments = 17/28
Step-by-step explanation:
Total profit of R. White and Co = 6/7 million dollars
Profit from the spinning department = 1/4 of million dollars
Fraction of profit from other departments = Total profit of R. White and Co - Profit from the spinning department
= 6/7 million dollars - 1/4 of million dollars
= 6/7 - 1/4
Lowest common multiple (LCM) of 7 and 4 is 28
= (24-7) / 28
= 17/28
Fraction of profit from other departments = 17/28
