Answers
Answer:
[tex]\textsf{D)} \quad y=-(x+2)^2-4[/tex]
Step-by-step explanation:
Vertex form of a quadratic equation:
[tex]y=a(x-h)^2+k[/tex]
where:
[tex](h, k)[/tex] is the vertex[tex]a[/tex] is some constantIf [tex]a > 0[/tex], the parabola opens upwards
If [tex]a < 0[/tex], the parabola opens downwards
From inspection of the graph, the vertex (turning point) is (-2, -4).
Substituting the vertex into the equation:
[tex]\implies y=a(x-(-2))^2+(-4)[/tex]
[tex]\implies y=a(x+2)^2-4[/tex]
As the parabola opens downwards, [tex]a < 0[/tex]:
[tex]\implies y=-a(x+2)^2-4[/tex]
The curve intercepts the y-axis at (0, -8).
Inputting this into the equation and solving for [tex]a[/tex]:
[tex]\implies -8=-a(0+2)^2-4[/tex]
[tex]\implies -4=-4a[/tex]
[tex]\implies a=1[/tex]
Therefore, the equation of the graph is:
[tex]y=-(x+2)^2-4[/tex]
Answer:
y = -(x + 2)² - 4
Step-by-step explanation:
Vertex form of an equation :
y = a(x - h)² + k
Vertex = (h, k)Substituting the coordinates of the vertex in the equation :
y = (x -(-2))² + (-4)
y = (x + 2)² - 4
y = -(x + 2)² - 4 (as the graph opens downwards)
Related Questions
A pattern has 4 blue triangles to every 310 yellow triangles. What is the ratio of yellow triangles to all triangles?
Answers
Answer:
blue to all triangles ratio: 1 : 78.5
Step-by-step
so first the total amount of triangles is 4 blue triangles to 314 total triangle or 4/314
you could just leave it like that or simplify it by dividing both sides by four getting 1 : 78.5
88+36 is the same as ? + 34
Answers
Answer:
The answer would be 90.
Step-by-step explanation:
There are two ways to solve this problem.
Option 1: See that 88+36 is equal to 124. Then subtract 34 from 124 to get your answer of 90.
Option 2. See that you subtracted two from 36 to get 34. To balance the equation out, you must add two to 88 to get an answer of 90.
I hope this helps! :)
Hey there!
88 + 36 VS ? + 34
88 + 36 VS x + 34
88 + 36 = x + 34
124 = x + 34
NEW EQUATION:
124 = x + 34
x + 34 = 124
SUBTRACT 34 to BOTH SIDES
x + 34 - 34 = 124 - 34
SIMPLIFY IT!
x = 124 - 34
x = 90
Therefore, the mystery number/answer is: 90
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The graph of f(x) = x2 was transformed to create the graph of g(x) = (2x)2 – 4. Which of these describes the transformation from the graph of f to the graph of g?
Answers
Answer:
A. Horizontal Stretch and vertical shift down 4
Step-by-step explanation:
When multiplying by a number greater than one, its a stretch. When it is less than one it is a compression.
2 is greater than 1 so its a horizontal stretch.
When there is a number outside of the () then that number determines how high or how low you go depending on the sign.
Our number is -4 so we go down 4.
A cylinder has a height of 18 feet and a radius of 19 feet. What is its volume? Use ≈ 3.14
and round your answer to the nearest hundredth.
Answers
Answer:
20403.72Step-by-step explanation:
Height = h = 18 m
Radius = r = 19 m
Volume of cylinder:
[tex]=\pi r^2h[/tex]
[tex]=(3.14)(19)^2(18)[/tex]
[tex]=(3.14)(361)(18)[/tex]
[tex]=20403.72[/tex] [tex]m^3[/tex]
_____________________can someone help me
Answers
Answer:
S=49
Step-by-step explanation:
Any triangle has an interior angle of 180.
So just add them up and set the sum equal to 180 degrees.
2s+s+33=180
3s=180-33
3s=147 . Divide both sides by 3 to isolate variable s
s=49
Explanation: Combine all like-terms.
3s + 33 = 180
180 - 33 = 147
147/3 = 49
7-18 use part 1 of the fundamental theorem of calculus to find the derivative of the function.
14. [tex]h(x)=\int_{1}^{\sqrt{x}} \frac{z^{2}}{z^{4}+1} d z[/tex]
Answers
[tex]\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}[/tex]
Andrea picked 21 pounds of peaches in her orchard. She divided the peaches evenly between 4 large baskets.
How many ounces of peaches did Andrea put in each basket?
Answers
1. 1 pound = 16 ounces
2. 21 pounds * 16 ounces = 336 ounces
3. 336 ounces ÷ 4 baskets = 84 ounces per basket
OR
1. 1 pound = 16 ounces
2. 21 pounds ÷ 4 baskets = 5.25 pounds per basket
3. 5.25 pounds * 16 oz = 84 ounces per basket
Hope this helps!!
The cosine of an angle a is 0.8. what is the value of sin (a)
Answers
Sine is opposite side over hypotenuse
You need 2 values to solve this.
HURRY ITS DUE TODAY!!!
A living room measures 24 feet long and 14 feet wide. A scale drawing is made using a scale factor of 118.
What is the length of the living room in the scale drawing?
Drag and drop a number to correctly complete the statement.
The length of the living room in the scale drawing is Response area ft.
options: 7/9, 4/3, 19/9.
Answers
Using proportions, it is found that the length of the living room in the scale drawing is of 4/3 ft.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The scale factor of 1/18 means that on the drawing, each ft represents 18 ft. Hence how many ft represent 24 feet?
[tex]f = \frac{1}{18} \times 24 = \frac{24}{18} = \frac{4}{3}[/tex]
Hence, the length of the living room in the scale drawing is of 4/3 ft.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Answer:
The guy above is right its 4/3
Step-by-step explanation:
Hope this helped!!!
Please correct me if i'm wrong! :D
21 ice cream cones are sold at $4.02 each.
What is the total cost of these items?
Answers
Answer:
$84.42
Step-by-step explanation:
$4.02 x 21= $84.42
I hope this helps!!!
Answer:
YOU DO 4.02x21=84.42
Step-by-step explanation:
PLEASE ANSWER NUMBER 32!!!
Answers
Answer:
N < -3
Step-by-step explanation:
first off, simply, then subtract the 9s from both sides.
5n < -6 -9
Simplify -6 -9 to -15 , Which gives you
5n < -15
then, divide both sides by 5.
n < 15/5
Simplify 15/5 to 3, Which give you
N < -3
here is your answer.
N < -3
please help meeee, will mark brainliest!!!
Answers
Answer:
see below
Step-by-step explanation:
If it decreases at 10.5 % per year then 89.5 % remains
Value = y = 35 300 ( .895)^x
value when x = 5.5 y = $ 19177.92
a drawing of a room has a scale of 1 inch = 4 feet. if the actual dimensions of the room are 14 feet by 16 feet. what are the dimesnsions of the room o on the drawing
Answers
Answer:
3.5 inches by 4 inches
Step-by-step explanation:
Need the answer for the following question...
[tex] \sqrt{155} \times \sqrt{155} [/tex]
If u get it right... u get... pts!!...
Answers
Answer:
155
Step-by-step explanation:
Solution
[tex]\sqrt{155} *\sqrt{155}[/tex] is the same thing as [tex]\sqrt{155}^2[/tex], when we square a square root, we get the number that's inside the radical.
E.g. [tex]\sqrt{x} ^2[/tex] would get us x as the answer.Given this method, we can easily say that [tex]\sqrt{155} * \sqrt{155}[/tex] is just [tex]155[/tex].
Another way:
Let's take the number 16 as an example.The square root of 16 is four, so we can put it as: [tex]\sqrt{16} * \sqrt{16} =16[/tex], or [tex]4*4=16[/tex].This same method applies to the problem, so again, we can say the answer is 155.Answer:
155.
Step-by-step explanation:
By the definition of a square root the answer is 155.
what is this please hurry it's a limited time test i'm counting on you guys
Answers
Answer:
see below-
Step-by-step explanation:
1st one- congruent
boxes- m1 and m2 , m2 and m3
2nd line- supplementary
m1 and m3
The weekly incomes follow the normal probability distribution, with a mean of $1,000 and standard deviation of $100. What is the area under this normal curve (probability) between $840 and $1,200?
Answers
Answer:
0.922
Step-by-step explanation:
→ State the distribution
X ~ N ( 1000 , 100² )
→ State the required probability
p ( 840 < x < 1200)
→ Enter upper bound as 1200 and lower as 840 on the normal cumulative distribution
0.922
Triangle ABC is shown below. Using a compass and straightedge, construct the dilation of ABC centered at B with a scale factor of 2.
Answers
Triangle ABC would remain the same because a dilation generally preserves the measure of an angle.
What is scale factor?A scale factor simply refers to a ratio of two (2) corresponding side lengths or diameter in two (2) similar geometric figures such as triangles.
In this exercise, you're required to construct a dilation of triangle ABC that is centered at B with a scale factor of 2 by using a compass and straightedge.
In conclusion, triangle ABC would remain the same because a dilation generally preserves the measure of an angle.
Read more on scale factor here: https://brainly.com/question/2826496
#SPJ1
If f (x) = startroot one-half x minus 10 endroot 3, which inequality can be used to find the domain of f(x)?
Answers
Because it is a cubic root, the argument can be positive and negative, so the domain is the set of all real numbers.
How to find the domain of our function?
Here we have the function:
[tex]f(x) = \sqrt[3]{\frac{1}{2}*x - 10}[/tex]
Now, if this is a cubic root (as I understand what you wrote) then we can use any value of x inside of that function, because the degree is odd.
Is not the case of the square root, where the argument must only be positive.
With that in mind, we conclude that the domain is the set of all real numbers.
If you want to learn more about domains:
https://brainly.com/question/1770447
#SPJ4
Answer: C
Step-by-step explanation:
Edge 2023
A cupboard is 1.2 m wide.
Will a stick 1m 5cm long fit across the cupboard?
Give reasons for your answer.
Answers
Answer:
cupboard is 1.2 m wide.
Will a stick 1m 5cm long fit across the cupboard?
Give reasons for your answer
Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.
How many unique random numbers need to be selected from the table of random digits?
3
400
800
1,200
Answers
The number of unique random numbers that need to be selected from the table of random digits will be A. 3.
What is a random number?It should be noted that a random number simply means a number that occurs when it is impossible to predict it.
From the information given, there are 1200 subjects and there are three treatments. In order to get treatment number, there must be three unique random numbers.
Learn more about random number on:
brainly.com/question/251701
#SPJ1
please help with question
Answers
Answer:
65.8
Step-by-step explanation:
The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.
__
The relation is ...
a/sin(A) = b/sin(B)
Solving for 'a' gives ...
a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)
a ≈ 65.8
wha is 10% of 695,000
Answers
Answer:
[tex]69500[/tex]
Step-by-step explanation:
[tex] \frac{695000}{1} \times \frac{10}{100} \\ \\ = 69500[/tex]
Solve four and two fifths plus two and two thirds. (4 points)
six and one fifteenth
six and three fifteenths
seven and thirteen fifteenths
seven and one fifteenth
Answers
4 2/5 + 2 2/3 = 106/15 = 7 1/15
Answer:
7 1/15 ( mixed number )
Step-by-step explanation:
First, add...
4 + 2 = 6
Then as you can see you can't add when both denominators are not the same so multiply 5 and 3 and you get 15
Then do...
2/5 x 3/3 = 6/15
And...
2/3 x 5/5 = 10/15
Then add...
6/15 + 10/15 = 16/15
But this number is an improper fraction so the mixed number for it is...
1 1/15 + 6 = 7 1/15
So this gives us the final answer of 7 1/15 ( mixed number )
Pls, mark me the brainliest!!!!!!
A cellular company offers a price of $16 for 200 minutes. Find the unit rate in cost per minute (Round to 2 decimal places) I WILL MARK AS BRAINLIEST
Answers
Unit rate
Price/Time8/1000.08$/minAnswer:
$0.08 per minute
Step-by-step explanation:
Unit rate :
Total Price / Total Minutes$16 / 200 minutes$0.08 per minute360,000 is 40% of what number?
Answers
Answer:
900000
Step-by-step explanation:
the answer to "360000 is 40 percent of what number?" is 900000, and you can also derive that 40 percent of 900000 equals 360000.
Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) four-thirdsπ(103) – four-thirdsπ(43) four-thirdsπ(203) four-thirdsπ(43) four-thirdsπ(203) – four-thirdsπ(43)
Answers
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
Volume of composite objectThe sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:
V = 4/3πr³
where:
r is the radius of the sphere
For the outer sphere:
V = 4/3π(20)³
For the inner sphere:
V = 4/3π(4)³
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
Learn more on volume of sphere here: https://brainly.com/question/10171109
#SPJ4
Answer:
D
Step-by-step explanation:
ABC Game store sells new games, n, for $19 and used games, u, for $9. The store earned $7500 in revenue last month. The store sold 4 times as many used games as new games. Write a system of equations that represents this scenario.
Answers
Answer:
19n+9u=7500 and 4u-n
Step-by-step explanation:
Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her
strawberries. one pound of strawberries costs $4.25. which equation and solution
represents p, the number of pounds of strawberries ms. diaz buys?
Answers
Answer:
21.25=4.25p
Step-by-step explanation:
Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her
strawberries. one pound of strawberries costs $4.25.
1/5
The equation to represent the situation is 4.25p=21.25.
Ms. Diaz buys 5 pounds of strawberries.
What is equation?A mathematical statement that is made up of two expressions connected by an equal sign.
Given:
Mr. Diaz pays for strawberries = $21.25
price for one pounds = $4.25
Then,
Number of pounds * cost = Total cost for strawberries.
p * 4.25 = 21.25
p = 21.25 / 4.25
p = 5
Hence, the equation that can represent 4.25p=21.25
Learn more about equation here:
https://brainly.com/question/16255566
#SPJ5
an investment made in the stock market decreased at a rate of 1.2% per year for 25 years. what is the current value of the 100,000 dollar investment?
Answers
Answer:
73947.52
Step-by-step explanation:
the equation would be 100000 * (0.988)^25
since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.
Find three consecutive integers such that their sum is 40 more that tiwce the middle integer.
Answers
Answer:
39, 40, 41
Step-by-step explanation:
Let x represent the middle integer. The sum of the three integers will be ...
(x -1) +x +(x +1) = 3x
This is 40 more than 2 times the middle integer, so we have ...
3x = 40 +2x
x = 40 . . . . . . . subtract 2x
The three integers are 39, 40, 41.
_____
Additional comment
It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.