Answer: Simplified expression- [tex]18y^{5} - 27y^{4} + 18y^{3}[/tex]
Step-by-step explanation: You get the product by simplifying it.
I tried my best, I hope this it what you were looking for:)
Could you please help me
determine the maximum number of zeros and the x- intercepts of the equation y=(x+9)(x-9)^2
The maximum number of zeros is 2, and the x-intercepts are -9, 9.
What is x-intercepts of quadratic function?The x-intercept is where the graph crosses the x-axis.
Here, we have,
The function is given as:
y=(x+9)(x-9)^2
The above function can be rewritten as:
y=(x+9)(x-9)(x-9)
The x-intercept is the point where the graph crosses the x-axis
To determine the x-intercepts, we remove the common factors
So, we have:
y=(x+9)(x-9)
Equate to 0
(x+9)(x-9)=0
Split
(x+9)=0 and, (x-9)=0
Solve for x
x=9 & x=-9
So, the maximum number of zeros is 2, and the x-intercepts are -9, 9.
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Which is the constant of variation, k, if y=kx, and y=3 when x=4?
3/4
4/3
3
4
Answer:
k = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
given variation equation
y = kx
to find k substitute y = 3 and x = 4 into the equation and solve for k
3 = 4k ( isolate k by dividing both sides by 4 )
[tex]\frac{3}{4}[/tex] = k
Helppp I can’t solve this….
So we're trying to find the equation of a line using the provided x and y values in the chart. We should start by finding the slope of the line, since that's easiest!
We know that the equation for slope is [tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
All we need to do is pick two points (two x and y coordinates) and respectively plug them into the equation! I want to note that it does not matter which two points you choose! You will always get the same slope!
Alright, so using the two points (-2, -17) and (0, 23) I'll calculate the slope!
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{23-(-17)}{0-(-2)}\\m=\frac{23+17}{0+2}\\m=\frac{40}{2}\\m=20[/tex]
(Just to prove that you can use any two points I'm going to do another example. The only thing you need to keep in mind is that y values are always on top and x values are always on the bottom! In this example I'm using (-6, -97) and (2,63)!)
[tex]m=\frac{63-(-97)}{2-(-6)}\\m=\frac{160}{8}\\m=20[/tex]
As we can see, no matter which points you use, it will always simplify to the same slope!
Now that we have the slope, we need to find the x and y intercepts! An x intercept is the point where y = 0 on the x-axis. A y intercept is the pint where x = 0 on the y-axis!
We already have a y intercept given to us, as you can see in the table there is a point (0, 23). This point is where x = 0! This will be our value next to the y in the equation. So so far, our equation looks like this:
[tex]y-23=20(x-x_1)[/tex]
And how do we know what the x intercept (x1) is? Well, we have a table full of values, so we can use those to plug in for y and x! I want to note again, you do not need to worry about which values you use! Just make sure you have your x and y straight and plug in whichever pair of coordinates you want! I will use the point (-2, -17).
[tex](-17)-23=20((-2)-x_1)\\-40=20(-2-x_1)\\-2=-2-x_1\\x_1=0[/tex]
So it looks like this line goes straight through the origin! If you want to confirm your findings, you can just use another point. This time I'll just use (2, 63)!
[tex](63)-23=20(2-x_1)\\40=20(2-x_1)\\2=2-x_1\\x_1=0[/tex]
This also makes sense to be our x-intercept value since if it was any other number, our y intercept would not be (0, 23) and the given values wouldn't be true anymore! (This is just another way to confirm that it's right!)
Therefore, our final equation is:
y - 23 = 20 (x - 0)
y = 20x + 23 (same answer, just in a different form)
Help me I'm stuck with this one, HELP!!!!!
Answer:
b= 106 or b= -58
Step-by-step explanation:
word sentence
82= b-24
solution b equals 106
or
word sentence 82= 24-b
solution b equals -58
ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.
Pls hurry!!
Answer:
54
Step-by-step explanation:
ratio is 7:9
7=42
9=?
9×42÷7
Math I need help I’m very confused and I don’t understand I’m sorry it’s hard to see the photo I need answers.
For each of the following , find
the coordinates of a or b and : the x-intercept, the coordinates of C: the y-intercept the axis of symmetry,
the coordinates of the vertex,
The maximum or minimum value,
The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).
what is coordinates ?When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.
given
Axis of symmetry:
x=9 /2
Vertex (minimum point): (9/2,−55/2)
X-intercepts: ((9+√55)/2,0) and ((9−√55)/2,0)
Y-intercept: (0,13)
The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).
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Does the function model exponential growth or decay?
h(t) = 0.25 · 1.56
Answer:
this function model grows.
Step-by-step explanation:
The value of b, 1.56, is greater than 1.
Colton works in a department store selling clothing. He makes a guaranteed salary of $500 per week, but is paid a commision on top of his base salary equal to 10% of his total sales for the week. How much would Colton make in a week in which he made $1075 in sales? How much would Colton make in a week if he made xx dollars in sales?
Answer:
Step-by-step explanation:
If Colton makes a guaranteed salary of $500 per week, and he is paid a commission of 10% on top of that for a total of $1075 in sales, he would make an additional $107.50 in commission (1075 x .1 = 107.5). In total, Colton would make 500 + 107.5 = $607.50 in a week where he made $1075 in sales.
area of 6ft 10ft 14ft figure
Answer:
209.25
Step-by-step explanation:
Calculate the areas of the triangle, rectangle, and half circle, then add them together:
triangle = 1/2bh = 1/2(6)(10) = 30
rectangle = bh = (14)(10) = 140
half circle = 1/2πr² = 1/2(3.14)(5)² = 39.25
radius = r = D/2 = 10/2 = 5
Total area = 30 + 140 + 39.25 = 209.25
Answer:
209.25 ft²
Step-by-step explanation:
To find the total area of the figure you have to add the areas of the triangle, rectangle and the semi circle.
Area of the triangle.
[tex] \sf \: A = \frac{1}{2} \times base \times height \\ \sf \: A = \frac{1}{2} \times 6 \: ft \times10 \: ft \\ \sf \: A = \frac{1}{2} \times 60 \: {ft}^{2} \\ \sf \: A =30 \: {ft}^{2} [/tex]
Area of the rectangle.
[tex]\sf \: A =length \times width \\ \sf \: A =14 \: ft \times 10 \: ft \\ \sf A =140 \: {ft}^{2} [/tex]
Area of the semi circle.
[tex] \sf \: A = \frac{1}{2} \pi {r}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times ( \frac{10}{2}) ^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times {5}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times 25 \\ \sf \: A = \frac{1}{2} \times 3.14 \times 25 \\ \sf \: A = \frac{1}{2} \times 78.5 \\ \sf \: A = 39.25 {ft}^{2} [/tex]
Add up all the areas to find the total area.
[tex] \sf \: Total \: Area = 30 {ft}^{2} + 140 {ft}^{2} + 39.25 {ft}^{2} \\ = 209.25 {ft}^{2} [/tex]
Max is designing a hot tub for a local spa. He wants the hot tub to have a diameter of 88 inches, What is the approximate area required for the installation of the hot tub? (Use 3.14 for .)
The area of the hot tub is 6079.04 in²
How to determine the area required for the installation of the hot tub?
To determine the approximate area required for the installation of the hot tub. You can use the area of a circle.
The area of a circle is given by A = πr²
where r is the radius of the circle
Since the hot tub to have a diameter of 88 inches, the radius will be 88/2 = 44 inches. π = 3.14.
Thus, area of the hot tub will be:
Area of hot tub = 3.14 × 44² = 6079.04 in²
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Which sets of values belong to the domain and range of a relation?
output values
Domain
values for the independent variable
input values
values for the dependent variable
Intro
Range
Done
Set of value that belong to the Domain are: Values of Independent, Variable, Input Values
Set of value that belong to the Range are: Output Values, Values of Dependent Variables.
What is a function ?Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.
The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.
Domain :
Values of Independent Variable
Input Values
Range :
Output Value
Values of Dependent Variables.
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Which of the following is a solution to system of inequalities shown below?
A. (5 , 5)
B. (5 , -1)
C. (0 , 0)
D. (0 , 1)
Answer:
Corect Answer: A (5,5)
Step-by-step explanation:
5(5)+2(5)= 35, which is greater than 19
5+5= 10, which is greater than 5
therefore- (5,5) is correct & works for the system of inequalities
You have a 10-sided dice with faces numbered 1-10.
Find P(rolling a number less than 2 or greater than 7).
Answer:
2/5
Step-by-step explanation:
Rolling a number less than two means that you roll a 1.
1/10 is the answer to less than 2
Roll a number greater than 7 means you roll 8 9 or 10 that's 3 out of 10
Answer
1/10 + 3/10 = 4/10 = 2/5
It is industry norms and key business ratios Dunn and Bradstreet reported that Q1 Q2 and Q3 were 2037 gasoline service stations sales to inventory ratios or 24 833.4 and 53.8 respectively from this we can conclude that what percentage of these service stations have sales to inventory ratio
From the inventory ratios of 24 8, 33.4 and 53.8 of Dunn and Bradstreet report. It can be concluded that
50% of these service station had sales to inventory ratios of 53.8 or moreHow to find the correct statement about the reportsThe problem is seeking expression of ratios in percentage
Ratios represents part or share of a whole while percentage refers to a fraction of hundred
Calculation of the whole among the ratios 24 8 : 33.4 : 53.8 is done by adding up
= 24 8 + 33.4 + 53.8
= 108
Expressing as ratio 53.8 a percentage, we have
= 53.8/108 * 100
= 0.4981 * 100
= 49.81%
approximately 50%
We can therefore say that inventory of 53.8 or more is 50%
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There is a pair of parallel sides in the following shape.
Answer:
A = 38.5 units²
Step-by-step explanation:
the figure has one pair of parallel sides and is therefore a trapezium.
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
b₁ and b₂ are the parallel bases and h the perpendicular height between them.
here h = 7 , b₁ = 5 , b₂ = 6 , then
A = [tex]\frac{1}{2}[/tex] × 7 × (5 + 6) = 3.5 × 11 = 38.5 units²
Which angle is a horizontal translation of the first angle?
Step-by-step explanation:
B becuase it keeps the same orientation and have the same distance from each point and they both produce rigid motion.
A is a reflection.
C is a dilation.
D is a rotation.
Find Sn or the sum for the given arithmetic series a1=8,d=-9,n=17
Here's the solution,
we know,
[tex] \large \boxed{Sn = \frac{n}{2}[ 2a _1 + (n - 1)d ] }[/tex]
=》
[tex]Sn = \dfrac{17}{2} [ (2 \times 8 )+ (17 - 1) \times ( - 9) ][/tex]
=》
[tex]Sn = \dfrac{17}{2} [16 + (16 \times - 9)][/tex]
=》
[tex]Sn = \dfrac{17}{2} [16 + ( - 144)][/tex]
=》
[tex]Sn = \dfrac{17}{2} \times (- 128)[/tex]
=》
[tex]Sn = 17 \times ( - 64)[/tex]
=》
[tex]\huge\boxed{Sn = - 1088}[/tex]
Plz help me well mark brainliest if correct!!...
Answer:
C
Step-by-step explanation:
The double step class is in studio b
Answer:
C) The double step class is in studio A.
Step-by-step explanation:
Jennifer was traveling at a rate of 70 miles per hour. If she continues at this rate, how
many miles did she travel in 9 hours?
9514 1404 393
Answer:
630 miles
Step-by-step explanation:
distance = speed × time
distance = (70 mi/h)(9 h) = 630 mi
Jennifer traveled 630 miles in 9 hours.
If you have a cube measuring 1 unit on each side, how many of those cubes would fit into a space 2 units by 3 units by 4 units
Given:
Measure of a cube = 1 unit on each side.
Dimensions of a space 2 units by 3 units by 4 units.
To find:
Number of cubes that can be fit into the given space.
Solution:
The volume of cube is:
[tex]V_1=a^3[/tex]
Where, a is the side length of cube.
[tex]V_1=(1)^3[/tex]
[tex]V_1=1[/tex]
So, the volume of the cube is 1 cubic units.
The volume of the cuboid is:
[tex]V_2=l\times b\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]l=2,b=3,h=4[/tex], we get
[tex]V_2=2\times 3\times 4[/tex]
[tex]V_2=24[/tex]
So, the volume of the space is 24 cubic units.
We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.
[tex]n=\dfrac{V_2}{V_1}[/tex]
[tex]n=\dfrac{24}{1}[/tex]
[tex]n=24[/tex]
Therefore, 24 cubes can be fit into the given space.
4
tan =- where
3
Find tan 28
Зл
•Soc
2
0 < 20
O
24
7
0 24
25
O 24
7
25
24
O None of the other answers are correct
Answer:
24/7
Step-by-step explanation:
tan 2t =+ 2 tan t) /( 1 - tan²t)
(2(-4/3))/(1- 16/9)
(-8/3)/(-7/9) = 24/7
Help ASAP Answer only if you know if you put links I will report
Answer: It is a reflection over the x axis!
Step-by-step explanation: The x axis is the horizontal line, so you reflect it over there. It is a reflection because you didn't rotate it, and you didn't translate it. You reflected the coordinates to the other side.
Find value of x.
using geometry
Answer:
10.5
Step-by-step explanation:
3x - 9 = x + 12
Subtract x from both sides
2x - 9 = 12
ad 9 to both sides
2x = 21
Divide both sides by 2
x = 10.5
Answer:
[tex]these \: sides \: are \: equal \: (rhombus) \\ x + 12 = 3x - 9 \\ 2x = 21 \\ x = 10.5[/tex]
What is the answer to 156 x 13
Answer:
2028
Step-by-step explanation:
156 x 13 = 2028
A pizza with a radius of 9 inches is sliced into 12 pieces. What is the length of the crust of one piece of pizza?
Answer:
21.2058333333
Step-by-step explanation:
Answer:
Step-by-step explanation:
Circumference = 2 * pi * r
r = 9 inches
Circumference = 18 pi
If there are 12 pieces (all equal) then the length of the crust is
C_part = 18*pi/12
C_part = 3/2 * pi
C_part= 4.71 inches
I’m trying to solve this problem I need to convert it to base 5
Answer: The answer is 29,446,941,856
Step-by-step explanation:
Help what’s the answer
Answer:
A,D, and E
ur welcome
Find one value of x so that x + 3 is equal to 2x.
Answer:
-4
Sorry if this is wrong.
Assignment: Ratio and Proportion: Molten Lava Cake
You will apply ratios and proportions to help you convert a recipe to serve more people. Use the recipe to solve the problems. The problem is your recipe only serves 8 people. Start by using the information to make 1 serving per person. Use proportions to increase the recipe to serve 30 people.
Molten Lava Cake Recipe:
1 c of sugar
6 squares of bittersweet chocolate
2 squares semisweet chocolate
1 1/4 stick butter
1/2 cup all-purpose flour
1 1/2 cups confectioners’ sugar
3 large eggs
4 egg yolks
1 tsp vanilla extract
2 1/2 tablespoons orange liqueur
Use proportions to increase the recipe to serve 30 people (1 serving per person).
Complete the table to include:
Ratio for one serving (use the table to assist you).
(i.e. If the recipe uses 1 cup of sugar, and the recipe serves 8, the ratio for one serving equals 1/8 cup sugar) thus the answer would be 1/8
Proportions used to increase recipe to 30 servings.
(i.e. for the sugar 1/(8 servings) = x/(30 servings)) thus the answer is 1/8 = x/30
Show the work to solve the proportion. Round your measurement to the nearest half. (i.e. 3.222 teaspoons rounds to 3 teaspoons, 3.666 teaspoons rounds to 3½ teaspoons, 3.89 teaspoons round to 4 teaspoons), thus the answer is 4
Scaled Recipe – Ingredient and new amount needed for 30 servings. Show the exact answer or the rounded measurement, thus the answer is 4.687 or 4 1/2
Here, we are required to apply ratios and proportions to help convert a recipe to serve more people.
The recipe for 30 people would be as follows:
4 c of sugar22 ¹/2 squares of bittersweet chocolate7 ¹/2 squares semisweet chocolate4 ¹/2 stick butter2 cup all-purpose flour5 ¹/2cups confectioners’ sugar11 ¹/2 large eggs15 egg yolks4 tsp vanilla extract9 ¹/2 tablespoons orange liqueur.The recipe in the question above only serves 8 persons.
However, we are required to convert the recipe into one that serves 30 persons.
To do that, it is important to first convert the recipe into one that serves one(1) person.
If the recipe serves 8 persons, therefore to serve 1 person, it requires dividing the quantity of each ingredient by 8.
The results are as follows:
1/8 c of sugar6/8 = 3/4 squares of bittersweet chocolate2/8 = 1/4 squares semisweet chocolate(1 1/4)/8 = 5/32 stick butter(1/2)/8 = 1/16 cup all-purpose flour(1 1/2)/8 = 3/16 cups confectioners’ sugar3/8 large eggs4/8 = 1/2 egg yolks1/8 tsp vanilla extract(2 1/2)/8 = 5/16 tablespoons orange liqueur.The new recipe above is for serving 1 person Molten lava cake.
Therefore, to serve 30 persons with the Molten lava cake, the quantity of each ingredient required for 1 person's serving i multiplied by 30.
The results are as follows:
(1/8) × 30 = 3.75 c of sugar(3/4) × 30 = 22.5 squares of bittersweet chocolate(1/4)×30 = 7.5 squares semisweet chocolate(5/32) × 30 = 4.6875 stick butter(1/16) ×30= 1.875 cup all-purpose flour(3/16) ×30 = 5.625 cups confectioners’ sugar(3/8)×30 = 11.25 large eggs(1/2) ×30 = 15 egg yolks(1/8) ×30 = 3.75 tsp vanilla extract(5/16) ×30 = 9.375 tablespoons orange liqueur.However, the question requires that the quantities be rounded off to the nearest half.
therefore we have,
4 c of sugar
22 ¹/2 squares of bittersweet chocolate
7 ¹/2 squares semisweet chocolate
4 ¹/2 stick butter
2 cup all-purpose flour
5 ¹/2cups confectioners’ sugar
11 ¹/2 large eggs
15 egg yolks
4 tsp vanilla extract
9 ¹/2 tablespoons orange liqueur.
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