Answer:
Step-by-step explanation:
Part A: Company A charges $6 for a window and $12 for a service clean. If you add that up it would be 6 + 12 =18 so company A would be making $18 per customer. Company B charges $15 + $5 for a whole cleaning which would make them $20 per customer. That is better then $18 so business B would be making more money.
Part B: For cleaning 8 windows company B would charge less because 8 x 5 = $40 for all the windows and company A would be charging $6 for a window which is more so 8 x 6 = 48. Company B charges less.
Part C: Company B charges 5 dollars for thier services on windows as Company A charges 6. You would be saving a dollar by buying at company B.
Simplify the expression.
-x(5x-4)
A. 4x^2 - 5x
B -5x -4x
C 5x + 4x
D -5x^2 + 4x
it's D because when you distribute the -x the 5x multiplies to -5x^2 then -4 multiplies to 4x since the negatives cancel out.
Write a polynomial function P(x) with rational coefficients so that P(x) = 0 has the given roots. 2+√2i, 4+i
The polynomial would be p(x) = x⁴ - 12x³ + 55x² -116x + 102
How to write the polynomial with these roots?
We know that the roots must be:
2± √2i and 4 ± i
Then we can write the polynomial as:
p(x) = (x - 2- √2i)*(x - 2+√2i)*(x - 4+i)*(x - 4 - i)
Notice that when x equals any of the roots, the polynomial becomes zero, now just expand the products, we will get:
p(x) = (x - 2- √2i)*(x - 2+√2i)*(x - 4+i)*(x - 4 - i)
p(x) = ((x-2)² + 2 )*( (x - 4)² + 1)
p(x) = (x² - 4x + 4 + 2)*(x² - 8x + 16 + 1)
p(x) = (x² - 4x + 6)*(x² - 8x + 17)
p(x) = x⁴ - 12x³ + 55x² -116x + 102
a baseball card is originally worth 3$. it increase by 7% every year while the player is still active. after the player retires it increases 10% every year. if a player remains active dor 7 years, how mich is the baseball card worth after 20 years?
Answer:
[tex]\$16.64[/tex]
Step-by-step explanation:
we know that
The exponential function while the player is still active is equal to
[tex]y=3(1.07)^{x}[/tex]
where
y ----> is the value of the baseball card
x ----> the time in years
Find the value of y for x=7 years (7 years still active)
[tex]y=3(1.07)^{7}=\$4.82[/tex]
After 20 years
x=20-7=13 years (13 years retired player)
The initial value is [tex]\$4.82[/tex]
The new equation is equal to
[tex]y=\$4.82(1.1)^{x}[/tex]
substitute
x=13 years
[tex]y=\$4.82(1.1)^{13}=\$16.64[/tex]
what is 8/4 of a dollar?
Try searching it up on the internet maybe?? I tried doing some research but all I found was 2 I don’t know if the answer maybe be “2” but that’s what came up♀️
Final answer:
8/4 of a dollar is equivalent to 2 dollars, as 1/4 of a dollar is 0.25 dollars and multiplying this by 8 yields 2.
Explanation:
The question, what is 8/4 of a dollar?, falls under the category of elementary Mathematics, specifically fractions and monetary equivalence. To find the value of 8/4 of a dollar, you first need to understand that 4 quarters make up a dollar, which means that each quarter is worth 0.25 dollars or 25 cents. Therefore, to compute 8/4 of a dollar, you simply multiply 8 by the value of 1/4 of a dollar (0.25 dollars).
Here is the step-by-step calculation:
Understand that 1 quarter is 0.25 dollars.
Multiply 8 by 0.25 (1 quarter): 8 x 0.25 = 2.
So, 8/4 of a dollar is the same as 2 dollars
x= y2+1
3x - 2y = 4.
Which of the following equations could be the result of using substitution to solve
the system?
Answer:
3y² -2y -1 =0
Step-by-step explanation:
X= y²+1 .....(1)
3x - 2y = 4.....(2)
put x in (2) : 3(y²+1 )-2y =4
3y² +3 -2y -4 = 0
3y² -2y -1 =0
point p is reflected across two lines point e is its reflection image which two lines is pointed p reflected across
I think it would be x = 3 and y = 2 based on another question I read like this.
PLEASE HELP!!
which of the following statements are equivalent to the ratio 10:3? Choose all that apply
1. 28 days to 6 days
2. 120 meters to 8000 meters
3. 2000 pounds to 600 pounds
4. 300 seconds to 20 seconds
5. 250 cents to 75 cents
Answer:
3. 2000 pounds to 600 pounds and 5. 250 cents to 75 cents
Step-by-step explanation:
The ratio is 10:3 so just multiply the first number by ten and the and the second by 3 to see if it matches
ex. 10 x 200= 2000 3 x 200= 600
10 x 25=250 3 x 25= 75
I hope this makes sense, this is kinda hard to physically explain.
The ratio 2000 pounds to 600 pounds and 250 cents to 75 cents are equivalent to 10:3.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
To find the ratio equivalent to the ratio 10:3.
Solve with the help of options,
1.
28 days to 6 days
Write in ratio form,
28 : 6 = 14 : 3
2.
120 meters to 8000 meters
Write in ratio form,
120 : 8000 = 3 : 200
3.
2000 pounds to 600 pounds
Write in ratio form,
2000 : 600 = 10 : 3
4.
300 seconds to 20 seconds
Write in ratio form,
300 : 20 = 15 : 1
5.
250 cents to 75 cents
Write in ratio form,
10 : 3
To learn more about Ratio on :
https://brainly.com/question/13419413
#SPJ5
Mariana's annual take-home pay is $63,000. What is the maximum amount
that she can spend per month paying off credit cards and loans and not be in
danger of credit overload?
O
A. $4200.00
O
B. $5250.00
O
c. $1312.50
O
D. $1050.00
Answer:
D $1050
Got that on Apex
Final answer:
Mariana can spend a maximum of $1,050.00 per month on credit cards and loans to avoid credit overload, which is 20% of her annual take-home pay divided by 12 months.
Explanation:
Mariana's annual take-home pay is $63,000. To avoid credit overload, financial advisors often recommend that no more than 20% of your annual take-home pay should go towards servicing debt. To determine the monthly amount Mariana can safely allocate to pay off credit cards and loans, we first calculate 20% of her annual take-home pay, and then divide that number by 12 to get the monthly amount.
First, calculate the annual amount: 20% of $63,000 = 0.20 \(*\) $63,000 = $12,600.
Next, calculate the monthly amount: $12,600 / 12 months = $1,050.00 per month.
Therefore, the maximum amount Mariana can spend per month on debt repayment to avoid credit overload is $1,050.00.
Is 24 a rational number
Answer:
Yes. because it ends.
Step-by-step explanation:
Rational numbers are numbers that end, or have a repating patern. Examples;
2.252525252525.......
2.369
5
8
8.69
8.541254125412
Hope this helped!
Hello There!
Yes indeed it is. 24 is a rational number because it can be expressed as the quotient of two integers: 24÷ 1
Can someone help me with this
The answer is:
x=-8
Because:
If you pick a number(-8) to fill in the equation written below
5x+20+5x=5x-20
After applying the -8 to x you get
-40+20-40=-40-20
When you simply the both sides you get
-60=-60
And that’s right -60 is equal to -60!
Answer:
Third option : x = -8
Step-by-step explanation:
Given
5x+20+5x=5x-20
in order to solve the equation, Subtracting 5x on both sides
5x+20+5x-5x=5x-20-5x
5x+20= -20
20 will be subtracted from both sides
5x+20-20= -20-20
5x= -40
Dividing by 5 on both sides
5x/5= (-40)/5
x= -8
So, the value of x is -8 ..
I NEED HELP I WILL GIVE BRAINLIEST!!!
Answer:
The probability is 2/5.
Step-by-step explanation:
4/5 is the probability of not getting a 5
1/2 is the probability of flipping heads
4/5x1/2 = 4/10 = 2/5
How could you use a number cube to simulate a baby being born male or female?
A) Rolling a 4 is female and anything else is male.
B) Rolling less than 3 is male and anything else is female.
C) Rolling an even number is female and an odd number is male.
D) Rolling a prime number is female and other numbers are male.
Answer:
C) Rolling an even number is female and an odd number is male.
Step-by-step explanation:
because it would be an even chance for each sex (Male and female)
Hope this helps
Make sure to mark Brainliest!☺
Answer:
C
Step-by-step explanation:
5 radians is the same as _____.
Round to the nearest hundredth of a degree.
Answer:
286.48°
Step-by-step explanation:
Given in the question that we have to convert 5 rad to degree.
we know that,
π = 180°
1rad = 180°/π
5rad = 180°(5)/π
= 286.4788°
≈ 286.48° (nearest to hundredth)
So 5 rad is 286.48°
[tex]5 \times \frac{180}{\pi} = 286.479[/tex]
if we round it: ans= 286.48
Help me find the domain of this function please
Answer:
Domain: {-12, 0, 24, 60}
Step-by-step explanation:
Function:
f(x) = [tex]\frac{x}{12}[/tex]
Range: { -1, 0, 2, 5}
For range = -1,
Domain: -1 = [tex]\frac{x}{12}[/tex] ⇒ x = -12
For range = 0,
Domain: 0 = [tex]\frac{x}{12}[/tex] ⇒ x = 0
For range = 2,
Domain: 2 = [tex]\frac{x}{12}[/tex] ⇒ x = 24
For range = 5,
Domain: 5 = [tex]\frac{x}{12}[/tex] ⇒ x = 60
Domain: {-12, 0, 24, 60}
Lenny has a remaining balance on his credit card of $800. His credit card has an APR of 22 percent. How much will he pay in interest in one month?
$14.40
$22.00
$176
$16.00
Answer:
22
Step-by-step explanation:
what 2.009 in expanded form and word form
Answer:
Word Form: two and nine thousandths
Expanded Form:
2
+ 0.0
+ 0.00
+ 0.009
Step-by-step explanation:
The longer base of an isosceles trapezoid joins points (-3, -2) and (7, -2). One endpoint of the shorter base is (-1, 4). What are the coordinates of the other endpoint?
Can you explain how to figure this out please.
Answer:
(5,4)
Step-by-step explanation:
We have that the longer base of an isosceles trapezoid joins points (-3, -2) and (7, -2), and one endpoint of the shorter base is (-1, 4).
The best way to find the coordinates of the other endpoint is to draw or sketch the figure on a coordinate grid.
From the graph in the attachment the coordinates of the other endpoints is (5,4).
A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule
(8x2y2)(3xy)
where y represents the number of white tiles.
Which simplified expression represents the number of colored tiles used for a path of length x feet?
24x3y3
11x3y3
24x2y2
11x2y2
Answer: 24x3y3
Step-by-step explanation:
Answer:
Option 1 - [tex](8x^2y^2)(3xy)=24x^3y^3[/tex]
Step-by-step explanation:
Given : A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule
[tex](8x^2y^2)(3xy)[/tex] where y represents the number of white tiles.
To find : Which simplified expression represents the number of colored tiles used for a path of length x feet?
Solution :
The number of colored tiles needed to make is [tex](8x^2y^2)(3xy)[/tex]
Where, y represents the number of white tiles.
x represents the length of path in feet.
Simplifying the expression,
[tex](8x^2y^2)(3xy)[/tex]
[tex]=8\times 3\times x^2\times x\times y^2\times y[/tex]
We know, [tex]a^m\times a^n=a^{m+n}[/tex]
[tex]=24x^3y^3[/tex]
Therefore, Option 1 is correct.
You buy 200 shares at $15.25/share. Your investment gains 10% the first year, and then loses $1.00/share the second year. How much has your total investment increase by the second year?
Answer:
Your total investment increase by $105.00 by second year.
Step-by-step explanation:
You bought 200 shares at the price = $15.25 per share
Total cost of 200 shares = 200 × 15.25 = $3050
First year your investment gains profit = 10%
10% of 3050 = [tex]\frac{10}{100}[/tex] × 3050
= 0.10 × 3050 = $305
Total value of 200 shares on first year = 3050 + 305 = $3,355
Then loses $1.00 per share the second year = 200 × 1.00 = $200
on second year the value of 200 shares would be = 3,355 - 200 = $3,155
So profit by second year = 3,155 - 3050 = $105
Your total investment increase by $105.00 by second year.
Find the value of x.
Answer:
25°
Step-by-step explanation:
The angle shown in a right angle, which is 90°. Let's start with 3x-10. We want to get rid of the 10 so we add 10 as positive and negative cancel each other out. So when we add 10 to 90 we have 100. Now we have x+3x=100. Simplify that to 4x=100. Divide both sides by 4 to isolate the x and the answer is 25. To double check,
• 25×3=75
•75-10=65
•65+25=90
The whole angle is equal to 90 degrees therefore you can make an equation using the two angle values and set it equal to 90 like so...
x + 3x - 10 = 90
Combine like terms ( x and 3x)
(x + 3x) - 10 = 90
4x - 10 = 90
Bring the 10 to the other side by adding it to both sides
4x + (-10 + 10) = 90 + 10
4x + 0 = 100
4x = 100
To further isolate x divide 4 to both sides
4x/4 = 100/4
x = 25
Hope this helped!
~Just a girl in love with Shawn Mendes
Find the volume of this figure.
Answer:
The volume of the figure is [tex]320\ units^{3}[/tex]
Step-by-step explanation:
we know that
The figure is a pyramid
The volume of a pyramid is equal to
[tex]V=(1/3)BH[/tex]
where
B is the area of the rectangular base of pyramid
H is the height of pyramid
Find the area of the base B
The area of the base B is equal to
[tex]B=AB*AC[/tex]
we have that
[tex]AB=8\ units[/tex] ---> see the graph
[tex]AC=10\ units[/tex] ---> see the graph
substitute
[tex]B=8*10=80\ units^{2}[/tex]
we have
[tex]H=EF=12\ units[/tex] ---> see the graph
Find the volume
[tex]V=(1/3)(80*12)=320\ units^{3}[/tex]
Choose the numbers that are irrational.
3.624
0.6
0.87
-5
Answer:
-5 because the number is before zero which irrational number
Melissa received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.22 per pound. After buying the coffee, she had $40.68 left on her card. How many pounds of coffee did she buy?
Answer:
She buy 6 pounds of coffee
Step-by-step explanation:
8.22 × 6 = 49.32
90 - 49.32 = 40.68
What is the answer to this please?
Answer:
<2 =66
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles.
58 + <2 = <4
58 + <2 = 124
Subtract 58 from each side
58-58 + <2 = 124-58
<2 =66
Find the surface area of the cube shown below.
Help, I don't get this.
Answer:
37.5 [tex]units^2[/tex]
Step-by-step explanation:
As the area of each of the side of the cube are the same we can multiply the area of one side by 6.
The area of one side is
[tex]2.5*2.5=6.25\\\\6.25*6=37.5[/tex]
Answer:
37.5
Step-by-step explanation:
Surface area of a rectangular prism (a cube is a rectangular prism) is 2B + Ph
B is area of the base so do width x length. In cube all side lengths are the same, so do 2.5 x 2.5.
B= 6.25
P is perimeter of base so do 2.5 + 2.5 + 2.5 + 2.5 = 10
P=10
h is the height of the prism, but all sides are the same anyway so it's 2.5
h=2.5
2(6.25) + 10(2.5)
12.5 + 25
37.5
12 ÷2x3-(7-5)=?
Please help me solve this equation.
Answer:
16
Step-by-step explanation:
18-(7-5)
18-2=16
Answer:
16
Step-by-step explanation:
12 ÷ 2 × 3 - (7 - 5)
= 12 ÷ 2 × 3 - (2)
= 6 × 3 - 2
= 18 - 2
= 16
a circles diameter matches the side length of a square. What percent of the square's area is the circle's area?
Answer:
78.5%Step-by-step explanation:
[tex]\text{Let}\ s\ -\ \text{side length of a square. Therefore the diameter d = 2r has }\\\text{length d=s}\to 2r=s\to r=\dfrac{s}{2}.\\r-\text{radius}\\\\\text{The formula of an area of a square:}\\\\A_{\square}=(side\ length)^2\\\\\text{Therefore:}\ A_{\square}=s^2.\\\\\text{The formula of an area of a circle:}\\\\A_O=\pi r^2\\\\\text{Substitute}\ r=\dfrac{s}{2}:\\\\A_O=\pi\left(\dfrac{s}{2}\right)^2=\dfrac{s^2\pi}{4}[/tex]
[tex]\text{Calculate what fraction of the area of the square is the area of the circle}\\\\\dfrac{A_O}{A_{\square}}=\dfrac{\frac{s^2\pi}{4}}{s^2}=\dfrac{s^2\pi}{4}\cdot\dfrac{1}{s^2}\qquad\text{cancel}\ s^2\\\\\dfrac{A_O}{A_{\squera}}=\dfrac{\pi}{4}\\\\\text{Convert to the percent:}\\\\\dfrac{\pi}{4}\cdot100\%=25\pi\%\\\\\pi\approx3.14\to25\pi\%\approx(25)(3.14)\%=78,5\%[/tex]
Which is the inverse of the function f(x) = 4x2
Answer:
[tex]\sqrt{\frac{x}{4}}[/tex] and [tex]-\sqrt{\frac{x}{4}}[/tex]
Step-by-step explanation:
The function is given as [tex]f(x)=4x^2[/tex]
to find inverse, we follow the steps shown below:
1. write "y" in place of "f(x)"
2. interchange "x" and "y"
3. solve for the new "y"
4. replace y with f^-1(x)
Let's do this:
[tex]f(x)=4x^2\\y=4x^2\\x=4y^2\\y^2=\frac{x}{4}\\y=+-\sqrt{\frac{x}{4}}[/tex]
These 2 are the inverse functions.
For this case we must find the inverse of the following function:
[tex]f (x) = 4x ^ 2[/tex]
We follow the steps below:
Replace f (x) with y:
[tex]y = 4x ^ 2[/tex]
We exchange variables;
[tex]x = 4y ^ 2[/tex]
We solve for y:
[tex]4y ^ 2 = x[/tex]
We divide between 4 on both sides of the equation:
[tex]y^ 2 = \frac {x} {4}[/tex]
We apply square root to both sides to eliminate the exponent:
[tex]y = \pm \sqrt {\frac {x} {4}}[/tex]
We substitute y for [tex]f ^ {- 1} (x)[/tex]:
[tex]f ^ {- 1} (x) =\pm \sqrt {\frac {x} {4}}[/tex]
Answer:
[tex]f^{-1}(x)=\pm\frac{\sqrt{x}}{2}[/tex]
Help with those three please!!
Answer:
Part 1) Option A. The axis of symmetry is x=4
Part 2) Option C. minimum
Part 3) Option A. (4,-4)
Part 4) Option B. (2,0) and (6,0)
Step-by-step explanation:
we have
[tex]f(x)=x^{2}-8x+12[/tex]
Part 1) What is the axis of symmetry of the parabola described by the equation above?
we know that
The equation above is a vertical parabola open upward
The axis of symmetry is the x-coordinate of the vertex
Find the vertex of the parabola (convert the equation in vertex form)
[tex]f(x)-12=x^{2}-8x[/tex]
[tex]f(x)-12+16=x^{2}-8x+16[/tex]
[tex]f(x)+4=x^{2}-8x+16[/tex]
[tex]f(x)+4=(x-4)^{2}[/tex]
[tex]f(x)=(x-4)^{2}-4[/tex] ----> equation in vertex form
The vertex of the parabola is (4,-4)
so
The axis of symmetry is x=4
Part 2) The vertex of the equation above is also
we know that
The equation above is a vertical parabola open upward
therefore
The vertex is a minimum
Part 3) What is the vertex of the parabola described by the equation above
we know that
The equation of the parabola into vertex form is equal to
[tex]f(x)=(x-4)^{2}-4[/tex]
therefore
The vertex of the parabola is (4,-4)
Part 4) What are the x-intercepts of the parabola described by the equation above
we know that
The x-intercepts are the values of x when the value of y is equal to zero
so
[tex]f(x)+4=(x-4)^{2}[/tex]
f)x)=0
so
[tex]4=(x-4)^{2}[/tex]
take square root both sides
[tex](x-4)=(+/-)2[/tex]
[tex]x=4(+/-)2[/tex]
[tex]x=4(+)2=6[/tex]
[tex]x=4(-)2=2[/tex]
therefore
The x-intercepts are
(2,0) and (6,0)
Jo is thinking of a number four less than nine times the number is 176 find jos number
Answer:
20
Step-by-step explanation:
Write as an equation (in order to represent the question better):
9x - 4 = 176
Add 4 to both sides (to remove the '-4' on the left-hand side):
9x = 180
Divide both sides by 9 (to find x):
x = 20