Step-by-step explanation:
The terms 9√x - 3√x have a common factor of √x.
Therefore 9√x - 3√x = √x * (9 - 3) = 6√x.
The amount of money spent on a pizza for club activities varies directly with the number of pizzas bought. If $135 will pay for fifteen pizzas, then how many pizzas can be bought with $252?
Answer:
28 pizzas can be bought
Step-by-step explanation:
you have to find the unit rate of the pizzas.
so 135 divided by 15 which is 9
and then you divide 252 by 9
It is found that 28 pizzas can be bought with 252 dollar.
What is unit rate?There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.
We have been given amount of money spent on a pizza for club activities varies directly with the number of pizzas bought.
We need to find the unit rate of the pizzas
Unit rate = Total amount/ Number of pizzas
Unit rate = 35/15
Unit rate = 9
Also,Unit rate = 259/13
Unit rate = 28
Therefore, 28 pizzas can be bought.
To learn more about the unitary method, please visit the link given below;
brainly.com/question/23423168
#SPJ2
what is 1/2x + 8 < -4 ?
Answer:
-1/24 < x < 0
Step-by-step explanation:
Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0
Answer:
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex] = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
Step-by-step explanation:
Given expression
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex]
we know that the algebra formula
[tex]\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }[/tex]
[tex]\sqrt{\frac{2x^{5} }{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{9} \sqrt{2} }[/tex]
= [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
What type of number can √134 be classified as?
A) irrational number
B) Rational number
C) integer
D) whole number
What type of number is 0 classified as?
A) Irrational number
B) Whole number
C) Integer
Answer:
[tex] \sqrt{134 } = irrational \\ 0 = whole \: no. \: and \: integer. \\ hope \: it \: helps \\ plzz \: mark \: as \: brainliest....[/tex]
:-)HELP ME RIGHT NOW GRAND PRIZE IS 10 POINTS COME ON COME ON PLEASE SJNDINKOJDEWNIOEW
Solve the system of equations using the substitution method. Make sure to check your solution.
y = 3x + 2
-4x + 4y = 16
In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2.
x-coordinate:
y-coordinate:
Answer: X = 1
Y= 5
Step-by-step explanation:
Plug in y = 3x + 2 in the Y coordinate to find X
-4x + 4(3x + 2) = 16
Now you can solve for X
X = 1
Then plug in 1 in the X coordinate to find Y
-4(1)+ 4y= 16
Now you can solve for Y
Y= 5
YOUR WELCOME
Evaluate the expression (1/4) {x(2y+3z)} when x=8, y=3, and z=2
Answer:
24
Step-by-step explanation:
x = 8, y = 3, z = 2
(1/4) x {8[2(3)+3(2)]}
(1/4) x {8(6 + 6)}
(1/4) x {48 + 48} (by distributing)
1/4 x 96
= 24
5. Grace has $39 She has 8 less than her brother. How much
money does Grace's brother have?
Answer:
Grace's brother has $47.
Explain why it makes sense that a system of two lines with equal slopes but different y-intercepts has no solutions.
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to seek why the system has no solutions
An example is necessary
Let us have two lines with equal slopes and different y-intercepts
y = 2x + 5
y = 2x - 3
To solve this system, we equate the y-values
2x + 5 = 2x - 3
The reason why this has no solution is that there is no x value that would validate the equality
It is impossible to find an x value which when inserted would make both equations equal
In the absence of this, we can make that conclusion that the system of equations has no solution
6x + 57= 135 solve x
Answer:
can't find answer sorry
PLEASE HELP MEEEE! I have no clue what the answer is
Answer:
y = 4x - 4
Step-by-step explanation:
to write a linear equation you need to know 2 components: slope and y-intercept
find slope by selecting 2 points, for example, (1,0) and (2,4)
slope ('m') = difference of y-values 4 - 0 = 4
difference of x-values 2 - 1 1
to find y-intercept ('b'), plug values into the slope-intercept form of a line, which is:
y = mx + b
you need a point and the slope of 4/1; can use any point
we'll use (2,4) where x =2 and y=4 and, again, m = 4
4 = 2(4) + b
4 = 8 + b
-4 = b
2 w = 2p - 3z
a Find w when p = 8 and z = -2
Answer:
11
Step-by-step explanation:
2w = 2×8 - (-2×3)
2w = 16 - (-6)
2w = 22
w = 11
6. Solve for the variable in the following proportion: 45 g = 5/1
Answer:
g=9
Step-by-step explanation:
assuming you actually meant 45/g, then it would be 5g=45
Help with this please. I’d appreciate if you showed the steps and the answer. Thanks!
Answer:
Diagonal=11.3m
Area of square (A) =1/2*d^2
=1/2*(11.3)^2
=63.845m^2
We know,
Area of square A= l^2
63.845=l^2
L=
[tex] \sqrt{63.845 } [/tex]
L=7.99m
Now,
Perimeter of square =4l
=4*7.99
=31.96m
Need help with these
Answer:
3x
7-k
m/4
(5x)+12
Step-by-step explanation:
most of the words like and are just fillers. and basically means together in this instance
Which graph represents a function?
Answer:
b
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
vertical line test
Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4)
.
y=−45x−5
y=−4/5x−8
y=−4/5x−4
y=−4/5x+4
Our point is (-5, -4)
Now use point slope form to find the equation: (y - y1) = m(x - x1)
(y - y1) = m(x - x1)
(y - (-4)) =-4/5(x - (-5))
y + 4 = -4/5x +4
An equation in slope-intercept form of the line is y = -4/5x - 8. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the slope −4/5 contains the point (−5,−4). The equation of the line is written as,
y = mx + c
-4 = -4/5 x - 5 + c
-4 = 4 + c
c = -8
The equation will be written as,
y = -4/5x - 8
To know more about an equation of the line follow
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ2
The lines graphed below are perpendicular. The slope of the red line is
What is the slope of the green line?
Answer:
Is there a picture for this one and also you didn't mention the slope of the red line is?
Step-by-step explanation:
Answer:
The slope of the Green line should be the same as the red line- but a negative number instead of a positive.
Step-by-step explanation:
This is the inverse of the line
So by reflecting it over the y-axis, the slope remains the same but will change from positive to negative and vise versa
Find the slope of the line that passes through A(0, -5) and B(3,-4)
Answer:
1/3
Step-by-step explanation:
(-4-(-5))/(3-0) = 1/3
A store used to sell an MP3 for $72which is 50% more than the wholesale cost. At a special holiday sale, the price of the MP3 was 20% less than the wholesale cost. What was the special sale price of the MP3?
Answer:
$115.2
Step-by-step explanation:
Step one:
Given data
A store used to sell an MP3 for $72 and we are told that this 50% of the wholesale price.
Therefore the wholesale price is
72*2= $144
Required:
The special sales cost at 20% discount
Step two:
We are told that the special sale is at a 20% discount on the wholesale
= 20/100*144
=0.2*144
=$28.8
Therefore the special sales price is
= 144-28.8
=$115.2
DESPERATE (please answer with picture of the graph)
WILL MARK BRAINLIST AND THANKS
Answer:
so the square root of 23 is 4.79583152331 but rounded is 4.8 so your right where you need to be!
Step-by-step explanation:
delta math help plz im stuck
Step-by-step explanation:
-70x^4 + 30x
= 10x(-7x^3 + 3)
ANSWER: 10x(-7x^3 + 3)
At a local fair, Molly sells bracelets. It costs her
$10 per bracelet for supplies and the local marke
charges her a one-time booth fee of $60. She
charges $20 for each bracelet.
a) Write a system of equations to represent this
situation (one equation for expenses and one
equation for income):
Answer:
10x + 60 ; 20x
Step-by-step explanation:
Given that:
Purchase price per bracelet = $10
Cost of booth = $60
Selling price per bracelet = $20
Hence,
Let number of bracelets = x
Expense equation :
(Price per bracelet * number of bracelet) + booth fee
(10 * x) + 60
10x + 60
Income equation :
Selling price * number of bracelets
20x
plz help will give brainliest
Answer: $6,120
Step-by-step explanation:
There are 15 fruits in each basket.
The store shipped 3,825 fruits, to find the number of baskets of fruits shipped you have to divide 3,825 by 15.
3,825 ÷ 15 = 255
Each basket costs $24 so to find the cost of 255 baskets, you multiply 255 by 24.
$24 × 255 = $6,120
Leona earned $6,120 from the gift baskets sold.
Hope this helped!! :p
Integrate the integral:
[tex]\int \frac{1}{\sqrt{x} \sqrt{1-x} }[/tex]
Answer:
[tex]\displaystyle \int {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx = 2arcsin(\sqrt{x}) + C[/tex]
General Formulas and Concepts:
Calculus
U-SubstitutionIntegration Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Arctrig Integration: [tex]\displaystyle \int\limits {\frac{1}{\sqrt{a^2-u^2} } } \, du = arcsin(\frac{u}{a} ) + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx[/tex]
Step 2: Identify
Set up variables for u-substitution and integral trig.
[tex]\displaystyleu = \sqrt{x}\\a = 1\\du = \frac{1}{2\sqrt{x}}dx[/tex]
Step 3: integrate
Rewrite Integral: [tex]\displaystyle 2\int {\frac{1}{2\sqrt{x} \sqrt{1-x} } } \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle 2\int {\frac{du}{\sqrt{1^2-(\sqrt{x})^2 } }[/tex][Integral] U-Sub Arctrig: [tex]\displaystyle 2\int {\frac{du}{\sqrt{1^2-u^2 } }[/tex][Integral] Arctrig: [tex]\displaystyle 2arcsin(\frac{u}{1}) + C[/tex]Simplify: [tex]\displaystyle 2arcsin(u) + C[/tex]Back-substitute: [tex]\displaystyle 2arcsin(\sqrt{x} ) + C[/tex]We are given the expression:
[tex]\int\limits {\frac{1}{\sqrt[]{x} }*\frac{1}{\sqrt[]{ 1-x^{2}}} } \, dx[/tex]
U-substitution:
let u = [tex]x^{1/2}[/tex] [So, x = u²]
[tex]\frac{du}{dx} = \frac{1}{2\sqrt[]{x}}[/tex] [differentiating both sides wrt x]
dx = du*2√(x)
dx = 2u(du) [Since u = √x]
Finding the Integral:
Plugging these values in the given expression:
[tex]\int\limits {u^{-1}*(1-u^{2})^{-1/2} } \, 2\sqrt[]{x}*du[/tex]
[tex]\int\limits {\frac{1}{u}*\frac{1}{\sqrt[]{ 1-u^{2}}}*2u } \, du[/tex]
The 'u' in the numerator and denominator will cancel out
[tex]\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}}*2 } \, du[/tex]
Since 2 is a constant
[tex]2\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}} } \, du[/tex]
Using the property: [tex]\int\limits {\frac{1}{\sqrt[]{1-x^{2}} }} \, dx[/tex] = ArcSin(x) + C
2*ArcSin(u) + C
Since u = √x :
2*ArcSin(√x) + C
Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
The values of both x and y can be any real number.
The values of both x and y will be real numbers greater than or equal to 0.
The value of x and y will always be zero
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
Answer:
B - The values of both x and y will be real numbers greater than or equal to 0.
The answer choice that best describes the values of x and y is B - The values of both x and y will be real numbers greater than or equal to 0.
Calculations and Parameters:Given that peaches are being sold for $2 per lb.
If we define x as the number of pounds that you buy, and y as the cost of these peaches, we can write the function:
y = $2*x
Therefore, the best description of the values of x and y is found in option B. The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
Read more about equations here:
https://brainly.com/question/17939759
#SPJ9
Tim has m dollars. Rebecca has $6 less than times the number of dollars that Tim has. Which expression represents the total amount of money that Tim and Rebecca have? If Tim has $70, how much money do Rebecca and Tim have altogether?
Answer:
$71
Step-by-step explanation:
Tim has M dollars
Rebecca is having (M/10 - 6)
Then, the amount of money Tim and Rebecca are having
= M + M/10 - 6
= (11M/10) - 6 dollars
The expression representing the total amount of money is [(11X/10) - 6]
If Tim is having $70, then total amount both would have together
= [(11 × 70/10) - 6]
= 77 - 6
= $71
Therefore, the expression for the total amount is [(11M/10) - 6] dollars
The total amount both are having together is $71.
Answer:
B. The expression is 11/10m – 6, and the amount is $71.
Step-by-step explanation:
(What did Benjamin Franklin use to lighten the mood in Philadelphia where the Constitution was being written?)
Sense of humor.
Ice cream.
An air-cooling device he had invented.
Poetic readings.
Answer:
Ice cream
Step-by-step explanation:
During the 1787 convention in Philadelphia when the constitution was being formed by the founding fathers, their sessions would usually end in heated arguments and disagreements.
To calm the delegates after the draining sessions, Benjamin Franklin who was then mostly in his home and 81 years old at that time, came up with the idea of entertaining the delegates in his home with the cold cream. His idea was helpful in reducing tensions.
Answer:
An air cooling he has invented
Step-by-step explanation:
A rectangular magazine cover is photocopied by using a scale factor of One-third. The length of the photocopy of the magazine cover is enlarged by a factor of 3. enlarged by a factor of One-third. reduced by a factor of 3. reduced by a factor of One-third.
Answer: "reduced by a factor of One-third."
Step-by-step explanation:
Suppose that the original magazine has a length L and a width W.
If it is photocopied using a scale factor of K, then the measures of the photocopy will be:
length = K*L
Width = K*W
In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:
length = (1/3)*L = L/3
Width = (1/3)*W = W/3
For usual notation:
When k > 1, we have an enlargement by a factor k
when 0 < k < 1, we have a reduction by a factor k
in this case, k = 1/3, then:
We have a reduction by a factor of 1/3
The correct option is:
"reduced by a factor of One-third."
Answer: D-reduced by a factor 1/3
Step-by-step explanation:
got it correct on edge 2021
Mariah025 answer here please
Answer:
wht
!?
............
..............
..
.
Start by finding the scale of this map. At the actual gym, one side length of the snack stand is 60 feet. On the scale map, it is 20 cm. What is the scale?
Answer:
I actual foot represents 0.01093 foot on paper
Step-by-step explanation:
Given that :
Actual side length of snack stand = 60 feets
Length of side on map = 20cm
Scaie :
60 feet = 20cm
1 foot = (20/60) cm
1 foot = 0.333 cm
1cm = 0.0328084 foot
0.333cm = (0.33 * 0.0328084) = 0.01093 feets
Scale :
I actual foot represents 0.01093 foot on paper