Answer:
y²x² - 25Step-by-step explanation:
To get the product of the function (y x - 5)(y x + 5), we will have to expand the bracket as shown;
= (y x - 5)(y x + 5)
= (yx)² + 5yx-5yx- 5(5)
= (yx)² + 5yx-5yx- 25
=(yx)² +0- 5(5)
= y²x² - 25
The product is expressed as y²x² - 25
Answer:
The person above me is *almost* right. but the x's are exponents.
Step-by-step explanation:
The right answer is y^2x-25. I hope this helps you! <3
What is the slope of the line represented by the equation y=-1/2x + 1/4?
Answer:
The slope is -1/2 and the y intercept is 1/4
Step-by-step explanation:
y=-1/2x + 1/4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -1/2 and the y intercept is 1/4
If f(x) = 3x and g(x)=1/x
what is the domain of (gºf)(x)?
O x>0
O all real numbers except x=
= 0
X<0
all real numbers
Answer:
Here it is given that f(x)=3x and g(x)=1/x
We have to find the domain of (g o f)(x)
Now it is given that f(x) = 3x
and it is also given that g(x) = 1/x
so (g o f)(x) = g( f(x) ) = g( 3x )
which comes out to be 1 / 3x
The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.
The domain of a function is the set of input values the function can take.
The domain of the function is (b).all real numbers except x = 0
The functions are given as:
[tex]\mathbf{f(x) = 3x}[/tex]
[tex]\mathbf{g(x) = \frac 1x}[/tex]
Calculate (gºf)(x) as follows:
[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]
So, we have:
[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]
Substitute 3x for f(x)
[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]
For the above function to have a real value, the value of x must not be 0.
Hence, the domain of the function is (b).
Read more about domains at:
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Complete the following item. Consult the table above to find the cosine number. Find A to the nearest degree. A ≈ a0degrees.
Answer: Angle A to the nearest degree = 50°
Step-by-step explanation:
Given the triangle ABC:
Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.
cosine of A
Using Pythagoras rule :
Cos A = Adjacent / Hypotenuse
Cos A = 267 / 391
Cos A = 0.6828644
Taking the cos inverse of angle A
A = Cos^-1 (0.6828644)
A = 46.932111°
A = 50°
Answer:
47°
Step-by-step explanation:
Jada sells her artwork at a trade show. She made $40 on the first day by selling one photograph, one painting, and one necklace. She made $110 on the second day by selling two photographs, three paintings, and three necklaces. She made $50 on the last day by selling one photograph, one painting, and two necklaces. Which system of equations matches Jada's sales at the trade show?
Answer:
x + y + z = 40
2x + 3y + 3z = 110
x + y + 2z = 50
Step-by-step explanation:
let
x = photograph
y = painting
z = neckless
the first part reads that jada sells 1 photograph, 1 painting, and 1 neckless. this written in a mathematical formula will be x + y + z = 40
the second part reads that jada sold 2 photographs, 3 paintings, 3 necklaces. This written as a mathematical formula will be 2x + 3y + 3z = 110
the third part reads that jada sold 1 photograph, 1 painting, and 2 necklaces. this written in a mathematical formulawill be x + y + 2z = 50
Ahmed is working at a burger joint. His boss pays him $6.50 per hour and promises a raise of $0.25 per hour every 6 months. Which sequence describes Ahmed's expected hourly wages, in dollars, starting with his current wage?
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Simplify.
3sqrt -64m^15n^3
-8m^5
-8m^5n
-4m^5n
-4m^5
Answer:
[tex]-4m^5n[/tex]
Step-by-step explanation:
∛-64 = -4
[tex]\sqrt[3]{m^{15}} =m^5[/tex]
∛n³ = n
Answer:
-4m⁵n
Step-by-step explanation:
(see attached)
1000 ml solution of acetic acid contains 21 mL of pure acetic acid find the percent concentration of the solution simplify your answer completely
Answer:
Step-by-step explanation:
download math photo it will give you free answers
Find the distance of the line segment joining the two points: (sqrt 2,1) and (0, -sqrt 2)
Answer:
2.8
Step-by-step explanation:
√(-√2-1)²+(0-√2)²
Convert 5pi/4 radians time degree measure
Answer:225
Step-by-step explanation:
Find the y-intercept of the rational function. (0, −2) (−2, 0) (0, 6) (6, 0)
Answer:
(0, - 2)
Step-by-step explanation:
The y-intercept of the rational function is (0, −2).
Write the expression in exponential form. logb M = y
Answer:
[tex]b^y=M[/tex]
Step-by-step explanation:
By definition of logarithms:
[tex]b^y=M[/tex]
Answer:
[tex]b^y=M[/tex]
Step-by-step explanation:
Recall the definition of logarithms: [tex]log_{b}M=y[/tex], where [tex]b^y=M[/tex].
The answer would be [tex]b^y=M[/tex].
For some examples, consider:
[tex]log_{2}8=y[/tex]. In other words: (b=2 and M=8), [tex]2^y=8[/tex]. Thus, [tex]y=3[/tex]. So:
[tex]log_{2}8=3[/tex]; [tex]2^3=8[/tex]
6j + 7 =21 -j pls show work
Answer:
Step-by-step explanation:
6j + 7 = 21 - j
Add 'j' to both sides
6j + 7 + j = 21 - j +j
7j + 7 = 21
Subtract 7 form both sides
7j + 7 - 7 = 21 - 7
7j = 14
Divide both sides by 7
7j/7 = 14/7
j = 2
Answer:
j = 2
Step-by-step explanation:
6j + 7 = 21 - j
6j + j = 21 - 7
7j = 14
j = 14/7
j = 2
the probability of spinning an odd number on a spinner is 62 percent . What is the probability of not spinning an odd number?
Subtract the percent of getting odd from 100 percent.
100 - 62 = 38%
Use the equation tool to complete the table.
y = 120 + 18(x)
Enter the correct answer.
Tara has made 120 cookies for the sale
and has one more day to bake. Tara's pan
allows her to bake 18 cookies per batch.
Tara can use the equation of the function to predict the total number of cookies: y=120+18(x). However, she prefers to use a table. (image)
Answer: ? = 264
Step-by-step explanation:
Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:
y = 120 + 18(x)
Replacing and solving for y (number of cookies)
y = 120 + 18(8)
y = 120+144 = 264 cookies
The missing value in the table is⇒ ? = 264
Feel free to ask for more if needed or if you did not understand something.
Answer:
answer is 264
Step-by-step explanation:
what is y=-1/4x+4 written in standard form? plsss help!
Answer:
The standard form of this slope-intercept form is x + 4y = 16.
Answer:
x + 4y =16
Step-by-step explanation:
[tex]y= \frac{-1}{4}x+4[/tex]
Multiply by 4
[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]
4y = -x + 16
x + 4y =16
In one year, a satellite orbiting the Earth travels 9.6 x 10^10 m (meters). Which
of the following is the best way to rewrite this quantity, using more
appropriate units?
A. 9.6 x 10^10 m
O B. 9.6 x 10^7 km
O C. 9.6 x 10^12 cm
D. 9.6 x 10^13 mm
Answer: B: 9.6 x 10 7 km
Step-by-step explanation:
Please i need help with this ASAP....many thanks
Answer:
Yes, he has enough money.
Step-by-step explanation:
I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.
Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.
13/0.75 = 18.67 = 18 weeks
Take the number of weeks times the number of calories per week
18 x 600 = 10800
Take this number divided by 200 calories per hour to find the total number of hours.
10800/200 = 54 hours
Take this number times the amount of money per hour.
54 x 6 = 324 This number is less than 360
(07.08 MC) The graph below shows the price, y, in dollars, of different amounts of peanuts, x, in pounds: Which equation best represents the relationship between x and y? (5 points) Select one: a. y = x + 6 b. y = 3x c. y = 6x d. y = x + 3
Answer:
B. y = 3x
Step-by-step explanation:
Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.
Help me ASAP for this question
Answer:
18 : 3
Step-by-step explanation:
Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.
[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce
[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions
[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication
[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3
_____
So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.
Hope that helps!
Which best summarizes the Pythagorean Theorem?
A- The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.
B- The length of the hypotenuse of a right triangle is greater than the sum of the lengths of the legs.
C- The sum of the lengths of the legs of a right triangle equals the length of the hypotenuse.
D- For any triangle, the sum of the squares of any two side
lengths is equal to the square
of the third side length.
Answer: A
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
A and B are the legs of the triangle, and c is the hypotenuse. A would make the most sense.
The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.
What is Pythagoras theorem?" In a right angled triangle the square of the hypotenuse is equals to the sum of the square of the other two sides of the right angled triangle."
According to the question,
As per the Pythagoras theorem ,
(Hypotenuse)² = (Adjacent side)² + ( opposite side)²
Hence, we conclude that Option A is correct.
Learn more about Pythagoras theorem here
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Find the area of the polygon XYZ that has its vertices at X(–3, 6), Y(–3, 1), and Z(5,1). Question 8 options: A) 26 square units B) 20 square units C) 40 square units D) 6.5 square units
Answer:
Area ≈ 20 square units
Step-by-step explanation:
Using Distance Formula to Find the lengths
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Length XY:
=> [tex]\sqrt{(-3+3)^2+(1-6)^2}[/tex]
=> [tex]\sqrt{25}[/tex]
=> 5 units
Length YZ:
=> [tex]\sqrt{(5+3)^2+(1-1)^2}[/tex]
=> [tex]\sqrt{64}[/tex]
=> 8 units
Length ZX:
=> [tex]\sqrt{(-3-5)^2+(6-1)^2}[/tex]
=> [tex]\sqrt{89}[/tex]
=> 9.4
Perimeter:
=> 5+8+9.4
=> 22.4
Semi-Perimeter:
=> 11.2
Using Heron's Formula to find the area:
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where s is semi perimeter and a,b and c are side lengths
=> Area = [tex]\sqrt{11.2(11.2-5)(11.2-8)(11.2-9.4)}[/tex]
=> Area = [tex]\sqrt{(11.2)(6.2)(3.2)(1.8)}[/tex]
=> Area = [tex]\sqrt{399.9}[/tex]
=> Area = 19.99
=> Area ≈ 20 square units
Question 24 on this pictured math sheet please. Have a great day!
Answer:
[tex]y=-6[/tex].
Step-by-step explanation:
If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .
In the given question, it is clear that the horizontal line passing through the point (4,-6).
Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].
Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is
[tex]y=-6[/tex]
Hence, the equation of horizontal line is [tex]y=-6[/tex].
Solve the equation :
[tex] \cos(x) - \sin(x) = \sqrt{2 } \: cos(3x)[/tex]
Answer:
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
Step-by-step explanation:
Step(i):-
Given cos x - sin x = √2 cos (3 x)
Dividing '√2' on both sides , we get
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
we will use trigonometry formulas
a) Cos ( A + B) = Cos A Cos B - sin A sin B
b) [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]
Step(ii):-
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]
[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
Step(iii):-
General solution of cos x = cos ∝ is x = 2 nπ+∝
we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
The general solution of [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is
⇒ [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]
⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]
[tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]
final answer:-
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
Answer:
B
Step-by-step explanation:
Use FOIL method
3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)
Simplify to get 15 x^{2} -6x+15x-6
Combine like terms to get 15x^2+9x-6
quadratic funcntion
quadratic term: 15x^2
linear term: 9x
constant: -6
(sorry this was late I had other work and I didn't see this until now)
please mark me brainliest!
Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach. In how many different ways (orders) can she add these fruits to her blender?
Answer: The number of different ways (orders) she can add these fruits to her blender = 24
Step-by-step explanation:
Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.
i.e. Total fruits = 4
The number of ways to order n things = n!
Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!
= 4 x 3 x 2 x 1
= 24
Hence, the number of different ways (orders) she can add these fruits to her blender = 24
Answer:
the correct answere is actully 120 ways.
Step-by-step explanation:
KELLY Connect
Deidra Roberts
CONTACT CENTER OUTSOURCING
Supervisor: "You are currently scheduled to work Monday through Friday of next
week. I need you to try to assist 9 more customers per day to hit your goal for the
week."
Employee: "That seems very realistic. I currently assist an average of 52 customers
per day, so the total number of customers l assist per week would be
295
300
304
305
Answer:
305
Step-by-step explanation:
52 customers per day * 5 days per week
260 currently
Now add the 9 per day to find you new goal
52+9 = 61 per day
61 *5 = 30
305 per week is your goal
What is the measure of the missing angle x?
Answer:
C. 60°
Step-by-step explanation:
Add the two given angles and subtract from 180°
Answer:
C. 60
Step-by-step explanation:
The total degrees in a triangle is 180. Add up the given angles measures and subtract from 180 to find x.
52 + 68 + x = 180
120 + x = 180
x = 60
a basket holds 26 cards, and each card has a letter of the alphabet on it. each time a card is drawn, it is returned to the basket before the next card is drawn. what is the probability of selecting a constant on the first draw, a vowel (a,e, i,o or u) on the second draw, and then another constant on the third (and last) draw? a 7/52 b 525/4394 c 2205/17576 c 147/1040
Answer:
2205/17576
Step-by-step explanation:
26 cards
5 vowels , 21 consonants
P( consonant) = consonant / total =21/26
Return the card
26 cards
5 vowels , 21 consonants
P ( vowel) = vowel/total= 5/26
Return the card
26 cards
5 vowels , 21 consonants
P( consonant) = consonant / total =21/26
P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26
2205/17576
Find the area of the triangle. Choices- Question 8 options: a) 70 units2 b) 35 units2 c) 28 units2 d) 14 units2
Answer:
35 (b)
Step-by-step explanation:
Area of a triangle = (height times base)/2
Height = 5
Base = 14
14 times 5 = 70
70/2 = 35
Answer:
it was b ) 35 units
Step-by-step explanation:
cuz 5*14 you got 70
then when is a triangle you have to do 70 divide by half
so you will got you answer which is b)35 units
hope it helps
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answer:
x ≥ $17, 500
Step-by-step explanation:
To find the cost of the next year model, we will follow the steps below;
Let x be the value of next year's model
$14000 ≤ 80% of x
80% of x ≥ $14000
80% × x ≥$14000
80x/100 ≥ $14000
multiply both-side of the equation by 100
80x ≥ $1400000
Divide both-side of the inequality by 80
80x /80 ≥ $1400000 / 80
x ≥ $17, 500
Therefore the cost of next year's model is
x≥$17, 500