Answer:
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Step-by-step explanation:
Let us assume x = selling price of each soccer ball
y = daily profit earned from selling of soccer balls
Given that
Y= [tex]-6x^2+100x-180[/tex]
where,
a = -6
b = 100
c = -180
Now we have to applied the formula which is as follows
x [tex]= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
[tex]= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$[/tex]
[tex]= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$[/tex]
[tex]= \frac{-100\pm\sqrt{5.680}}{-12}$[/tex]
[tex]= \frac{-100 + 75.3658}{-12}$[/tex]
[tex]= \frac{24.6342}{-12}[/tex]
x^1 = -2.05285
Now
x^2 [tex]= \frac{-100 - 75.3658}{-12}$[/tex]
[tex]= \frac{- 175.3658}{-12}[/tex]
x^2 = 14.6138
Based on this the option D is most appropriate as per the given situation
Answer:
If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Which is the graph of f(x) = (2/3)^x
Answer:
Picture attached below.
Step-by-step explanation:
I hope it helps.
if f(x)=x-7 and g(x)=x^3, find G(f(x))
Answer:
[tex](f*g)(x) = x^4-7x^3[/tex]
Step-by-step explanation:
[tex]f(x) = x-7\\g(x) = x^3[/tex]
Multiplying both would make
[tex](f*g)(x) = x^4-7x^3[/tex]
take my pointpointWhich day was the weather forecast most accurate?
Forecast vs Actual Temperature
Day
Degrees above (+) or
below (–) forecast
Monday
+4
Tuesday
–6
Wednesday
+7
Thursday
–2
Monday
Tuesday
Wednesday
Thursday
Answer:
B
Step-by-step explanation:
Answer:
Tuesday
Step-by-step explanation:
Simplify -{2x-[3-(4-3x)]+6x}.
Step-by-step explanation:
_2x _3x+3+64-4=
_5x+63
Aliyah wants to estimate the value of the quotient of 5.68 times 10 Superscript negative 3 and 8.54 times 10 Superscript negative 9. Which statement about the value is true? The value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number. A number in scientific notation with a positive exponent has a value greater than 1. The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1. The value will be less than 1 because 5.68 divided by 8.54 is less than 1. The negative exponents will make it even smaller. The number will be less than 1 because 5.68 times 10 Superscript negative 3 is a very small number and division always makes the size of a number smaller.
Answer:
b
Step-by-step explanation:
Answer:
b or The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.
Step-by-step explanation:
please help you don’t need to explain this just tell me the right answer
Answer:the SAS similarity theorem
Step-by-step explanation:
Simplify (10–2) 4. A) 10^-8 B)10^-6 C)-10^-6 D)-10^8
Answer:
A
Step-by-step explanation:
[tex](10^{-2})^{4}[/tex]
Apply the law of exponents.
[tex]10^{-2 \times 4}[/tex]
[tex]=10^{-8}[/tex]
Answer:
[tex] = {10}^{ - 8} \\ [/tex]
Answer A is correct.
Step-by-step explanation:
[tex] {( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8} [/tex]
Is the following graph a linear function, a nonlinear function, and/or a relation
Answer: Option C.
Step-by-step explanation:
Ok, first, a linear function is something of the shape of:
y = a*x + b.
And the graph of those functions is a line, as the name implies, so we can discard that option.
So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.
Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.
Then the correct option is C, nonlinear, and a relationship.
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. A square labeled 16 x squared minus 40 x + 25 What is the side length, in inches, of the pet shop sign?
Answer:
length of side of square = (4x - 5) inches
Step-by-step explanation:
We are given;
Area of square = 16x² – 40x + 25
Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a
Thus;
x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)
x = [40 ± √(1600 - 1600)]/32
x = (40 ± 0)/32
x = 40/32
x = 5/4
Thus, the factors of the polynomial are;
(4x - 5)²
So,
Area = 16x² – 40x + 25 = (4x - 5)²
Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches
What is the area of the triangle given below? 2 and 6
Answer:
6 sq. units
Step-by-step explanation:
The area of a triangle is base times height divided by 2.
[tex]\frac{bh}{2}[/tex]
[tex]\frac{6 \times 2}{2}[/tex]
[tex]\frac{12}{2} =6[/tex]
Answer:
D. 6
Step-by-step explanation:
The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:
A=1/2bh
A=1/2(6)(2)
A=1/2(12)
A=6
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Urgent plz please please❤️
Answer:
see below
Step-by-step explanation:
The domain is the possible x values
For the top graph x goes from 0 to 240
0 ≤x≤240
For the bottom graph the domain is from -3 but not including -3 because of the open circle to 6
-3 < x ≤6
(-3,6]
The range is the possible y values
The lowest value of y is -5 and the largest is 7
-5 ≤y≤7
[-5,7]
A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2
Answer:
Answer choice A) About 38.47 square units
Step-by-step explanation:
Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths. The perimeter of the square and therefore the circumference of the circle is 5.5*4=22. The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is therefore:
[tex]\dfrac{22}{2\pi}\approx 3.503[/tex]
Since the area of a circle is [tex]\pi r^2[/tex], the area of this circle is:
[tex]\pi \cdot 3.503^2= 3.14\cdot 12.271\approx 38.47[/tex]
Hope this helps!
The area of a circle with a circumference that equals the perimeter of the square is about 38.47 square units
Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths.
The perimeter of the square and therefore the circumference of the circle is [tex]5.5*4=22.[/tex]
The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is, therefore
[tex]22/2\pi=3.503[/tex]
What is the area of the circle?The area of a circle is [tex]\pi r^2[/tex],
the area of this circle is:
=[tex]\pi \times 3.305^2[/tex]
[tex]=3.14(12.27)[/tex]
=38.47 unit^2
Thus, The area of a circle with a circumference that equals the perimeter of the square is about 38.47 square units.
To learn more about the circle visit:
https://brainly.com/question/24375372
#SPJ2
in 1975 the population of the village was 900 it increased by 30% the following year what was the population of the year 1976
Answer:
1170
Step-by-step explanation:
Total Population = 900
Annual rate of increase = 30 % of 900
=> [tex]\frac{30}{100}*900[/tex]
=> 30 * 9
=> 270
Population next Year = 900+270
=> 1170
What is m
E
45°
125°/F
80°
A
45°
D
125°
135°
B
Answer:
45° is the answer as to me check it ok
The point of tangency of line S to circle A is M.
True
False
Answer:
False!
Step-by-step explanation:
Just got this question on OW
2 less than a number times 6
(02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.
Answer:
If 1 pint is equal to 2 cups, then 5 pints would equal _5_ cups.
Step-by-step explanation:
Let's use a ratio to solve:
pints : cups
1 : 2
2 : 4
3 : 6
4 : 8
5 : 10
There would be 10 cups in 5 pints.
Please help ! anyone know the answer :(
Answer:
[tex]\mathrm{C}[/tex]
Step-by-step explanation:
[tex]3-\frac{x}{2}\ge 15[/tex]
[tex]3-\frac{x}{2}-3\ge \:15-3[/tex]
[tex]-\frac{x}{2}\ge \:12[/tex]
[tex]-\frac{x}{2} \times 2 \ge \:12 \times 2[/tex]
[tex]-x\ge \:24[/tex]
[tex]x\le -24[/tex]
Jill wants to buy either a ball pen or an ink pen. Both pens come in 4 styles. Find the number of possible choices. *
Answer:
He has 8 possible choices
Step-by-step explanation:
Here, we want to know the number of choices Jill has.
He wants to buy either of the 2 pens.
In the first set , he has 4 styles to choose from
In the second set, he has also 4 styles to choose from
So his total number of possible choices would be 4 + 4 = 8 possible choices
Find the distance between the points (-5,-2) and (7,3).
Answer:
Step-by-step explanation:
*I WILL MARK YOU BRAINLIEST!!!!!*
Answer:
C
Step-by-step explanation:
you were told to draw a graph
f(x) or y is 4 when x less than or equal to 3. so you must draw straight horizontal line at y = 4 start from x = 3 to the left
(fx) or y is 2 when x bigger than 3. so, 3 is not included. so you must draw straight horizontal line at y = 2 start from x = 3 to the right with empty circle first (it means 3 not included)
Because you are working a late shift, you will get an increase in your wage. You will get and additional 10% per hour from 6:00pm to 12:00 am and additional 15% from 12:00 am to 1:00 am
CHECK THE COMPLETE QUESTION BELOW:
Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour
Answer:
I will make $13.2 per hour
Explanation:
It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour
Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that
10% = (10/100)*$12per hour
=$1.2per hour
Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:
15% = (15/100)*$12per hour
=$1.8 per hour
which means that Employee gets additional $1.8 per hour
of the money for working from 12.00 AM to 01.00 AM
Therefore, if Employee works from 2.00 PM to 12.00 AM,
Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which
= $12 + $1.2 = $13.2
= \$ 12 + \$ 1.2 = \$ 13.2
FOR BRAINLIEST ANSWER, SOLVE APPLICATION USING ALGEBRA. TYPE THE EQUATION OR INEQUALITY AND PLEASE SHOW WORK. a) If the sales tax on a purchase came to $48, what was the original price (before tax) and what is the final price (after tax)? (Use 6% for the sales tax rate).
Step-by-step explanation:
before tax it would be 6/100×48=$2.88
so therefore before tax = $48-2.88=$45.12
final price after tax =$48+2.88=$50.88
Can someone please help me with this I don’t get it please help me
Answer:
13.3
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
AM AN
---------- = ------------
AM+AB AC
6 8
---------- = ------------
6+4 AC
Using cross products
6AC = 8 * 10
6AC = 80
Divide by 6
AC = 80/6
AC =13 1/3
AC = 13.33333
Answer:
11
Step-by-step explanation:
add
This is the question that I need help with.
Answer: 16 + 55 = 71cm^2
Step-by-step explanation:
You want to divide this figure into 2 rectangles. There are two ways to do this, but either one will give you the same answer.
First One:
It has the dimensions of 5 and 11. 5 x 11 = 55cm^2
Second One:
This one wont be straightforward like the first one. You need to find these sides manually.
7 + x = 11
x = 4
Then,
9 - x = 5
x = 4
4 x 4 = 16cm^2
Can some one help with the following please…???
Answer:
5. 8
6. 18
Step-by-step explanation:
5.
a(a^2 + a - 1) + 7 =
= a^3 + a^2 - a + 7
For a = -1,
= (-1)^3 + (-1)^2 - (-1) + 7
= -1 + 1 + 1 + 7
= 8
6.
2ab(a + b) - 3ab(a - b) =
= 2a^2b + 2ab^2 - 3a^2b + 3ab^2
= -a^2b + 5ab^2
For a = 1 and b = 2,
= -(1)^2(2) + 5(1)(2)^2
= -1(2) + 5(4)
= - 2 + 20
= 18
Answer:
Step-by-step explanation:
a(a^2 + a -1) +7
a^3+a^2-a+7
f(-1)=(-1)^3+(-1)^2-(-1)+7
f(-1)=-1+1+1+7
f(-1)=0+1+7
f(-1)=8
2ab(a+b)-3ab(a-b)
2a^2*b+2ab^2-3a^2*b+3ab^2
−a^2*b+5ab^2
when a=1 and b=2
−a^2*b+5ab^2
−(1)^2*2+5*1*2^2
-1*2+5*1*4
-2+5*4
-2+20
18
Can anyone answer these? I’ll give you brainiest and 5 stars
Answer:
Step-by-step explanation:
2y^4 x 5y^3 = 10y^7
3gh^2 x 4g^3h^3 = 12g^4h^5
Answer:
1) 10y^7
2)12g^4h^5
Step-by-step explanation:
First just multiply numbers the rule is to add the exponents and if it doesn't show an exponent it should be 1 as an exponent so 2x5 is 10 and 4+3 is 7 so 10y^7 you do the same for the other one
Where do the points of concurrency of certain types of triangles lie? The circumcenter of an obtuse triangle lies inside the triangle. The incenter of a right triangle lies the triangle. The point of concurrency of the angle bisectors of an acute triangle lies the triangle. The point of concurrency that is equidistant from the vertices of a right triangle lies the triangle.
Answer: can you add a picture
Step-by-step explanation:
PICTURE
Answer:
1.outside
2.inside
3.inside
4.on
Step-by-step explanation:
I’m confused. Thanks
Step-by-step explanation:
Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC
and corresponding angles are equal or congruent.
Ok so angle XBC = 55 degrees and since this an isosceles triangle
XBC = XCB which means XCB = 55 degrees
Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.
Angle XBC + Angle XCB + Angle BXC = 180 degrees
Let x represent angle BXC
55 + 55 + x = 180
110 + x = 180
x = 180 - 110
x = 70
∴ Angle BXC = 70 degrees
I'd greatly appreciate the help-
Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.