Which of these is the standard form of the following function?
f(x) = -9(x + 5)2 + 4
f(x) = -9x2 - 90x - 221
AX) = 9x2 - 90x - 221
f(x) = -9x2 – 180x – 221
RX) = 9x2 - 180x + 221
Answers
Answer:
A
Step-by-step explanation:
Given
f(x) = - 9(x + 5)² + 4 ← expand parenthesis using FOIL
= - 9(x² + 10x + 25) + 4 ← distribute parenthesis by - 9
= - 9x² - 90x - 225 + 4 ← collect like terms
= - 9x² - 90x - 221 ← in standard form
Answer: Bro write the question better
Step-by-step explanation:
Related Questions
The sides of a rectangle are in the ratio 3.2. What is the lengi
of each side if the perimeter of the rectangle is 55 cm?
Answers
Answer:
11 and 16.5
Step-by-step explanation:
3x : 2x = length: width
55 = (3 + 2)(2)x -->
55 = 10x -->
5.5 = x -->
11 and 16.5 = width, length
Answer:
16.5
Step-by-step explanation:
1
1
Jump ropes are given out during gym class. A student has a chance of getting a red jump rope and a
3
chance of getting a green jump rope. Meg is given a jump rope.
2
What is the probability that Meg gets a red or green jump rope?
The probability that Meg gets a red or green jump rope is
Answers
Answer:
2/2
Step-by-step explanation:
There are only red and green jump ropes so she is for sure going to get a red or green jump rope. If she wants specifically a red or green jump rope her chances are 1/2.
The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21
Answers
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Answer:
B
Step-by-step explanation:
The length of a rectangle is 3 units more than the width. The area of the rectangle is
40 units. What is the length, in units, of the rectangle?
Answers
Answer:
8 units for the length
Step-by-step explanation:
Let l = length
w = width
l = w+3
A = l*w
substitute what we know
40 = (w+3) *w
distribute
40 = w^2 +3w
Subtract 40 from each side
0 = w^2 +3w -40
Factor
0 = (w+8) (w-5)
Using the zero product property
w+8 =0 w-5=0
w= -8 w=5
Since the width cannot be negative
w=5
l = w+3 = 5+3
l = 8 units
What is the measurement for the diameter of a circle with a circumference of 88 ft?
Use 3.14 for Pi. Round your answer to the nearest foot.
Answers
Answer: 617 ft.
Step-by-step explanation: So first, the formula is A=C²/ 4π, knowing this, let's just plug in our numbers
A = C² / 4 · π
A = 88² / 4 · 3.14
A = 7744 / 4 · 3.14
A = 7744 / 12.56
A = 7744 / 12.56
A = 616.56
A ≈ 617
Hope this helps :)
In which type of triangle is the orthcenter on the perimeter of the triangle
Answers
Answer:
Right Triangle
Step-by-step explanation:
All altitudes meet on the right angle vertex.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The regional manager of a chain of department stores created the following stem and leaf plot showing the number of pairs of glasses at each of the stores how many department stores have exactly 37 pairs of glasses
Answers
Answer:
The stem and leaf plot is not shown, so I will answer the question in a general way.
Suppose you have the following stem and leaf plot
I 2 I 0 5 8
I 3 I 4 4 7 8
I 4 I 0
Then, the data is: 20, 25, 28, 34, 34, 37, 38, 40. In consequence, one department stores has exactly 37 pairs of glasses. But if your stem and leaf plot is:
I 2 I 0 5 8
I 3 I 7 7 7 8
I 4 I 0
then, three department stores have 37 pairs of glasses, and none of them have 34 pairs of glasses.
neeeed helpp!!!! thank you
Answers
Answer:
1: 12d
2: m^-2 n^3
Step-by-step explanation:
For problem 1, you subtract all of the exponent(s) for 4d^4 by adding -4 and 4 together to create zero, thus removing the exponent(s), then you multiply 3×4 and get 12d.
For problem 2, you just put m^-2 and n^3 together. You cannot combine the exponents or variables, so it would just look like m^-2 n^3
The ^ before a number means that it is an exponent.
3x-9y=9 -3x+4y=14 (1,-3) (6,1) (1,-8)
Answers
-3x + 4y = -14
-5y = -5
y = 1
3x - 9(1) = 9
3x - 9 = 9
3x = 18
x = 6
So, the answer is (6, 1)
SOS need help
The cost (c), in dollars, charged by a car rental agency is calculated using the equation c=12+0.29m, where m represents the distance traveled in miles
A 56
B 153
C 194
D 206
E 236
Answers
Answer:
E= 236
Step-by-step explanation:
If C is 56.37, then m= 236
Answer:
236
Step-by-step explanation:
What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters. cubic centimeters
Answers
This means that the volume is equal to the length times the width times the height.
Multiply the three numbers for your answer.
Length = 4, width = 3, height = 9
lwh = 4cm X 3cm X 9cm = 12cm^2 X 9cm = 108cm^3
And there you have it! Your final answer is 108 cm^3 OR 108 cubic centimeters!
I do not mean to scare you, but this is the most basic volume formula! As you encounter different 3D shapes, the formulas will change!
You are going to want to practice with more of this type of problem before you move on to other shapes!
The volume of the given rectangular prism is 108 cubic centimeters.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
Given that, a prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters.
We know that, the volume of a rectangular prism = Length×Breadth×Height
= 4×3×9
= 108 cubic centimeters
Therefore, the volume of the given rectangular prism is 108 cubic centimeters.
To learn more about the rectangular prism visit:
https://brainly.com/question/27812749.
#SPJ3
The area of a square is 25 square inches. What is the perimeter of the square?
Answers
Answer:
25 square root is 5 so the missing sides is 5.
5+5=10 x 2 = 20
perimeter is 20
Hope this helps
Step-by-step explanation:
The perimeter of the given square is 20 inches.
What is the perimeter of the square?The perimeter of a square is defined as the addition of the lengths of the square.
The perimeter of a square = 4a
Where a is the length of the side of the square
Given that the area of the square is 25 square inches.
Let a is the length of the side of the square
The area of the square = a² = 25
So a = 5
Since all sides of a square are equal, we can calculate the perimeter by multiplying the length of one side by 4:
The perimeter of a square = 4a
The perimeter of a square = 4(5)
The perimeter of a square = 20 inches
Therefore, the perimeter of the square is 20 inches.
Learn more about the Perimeter of the square here:
brainly.com/question/11495285
#SPJ2
Help meh................
....
Answers
Answer:
71-45 is 26
Step-by-step explanation:
Answer:
71-45 = 26
Step-by-step explanation:
Which decimal is equivalent to
-35?
Answers
Answer:
-35.0
Step-by-step explanation:
Answer:
-.35
Step-by-step explanation:
Meghan needs to board her cats and dogs at a kennel while she is on vacation. Pet Hotel charges $42.50 for a cat and $64.00 for a dog for a total cost of $277.00. Animal Spa charges $35.50 for a cat and $50.50 for a dog, for a total cost of $222.50.
Write a system of equations to represent each charge. Let x represent the number of cats and let y represent the number of dogs.
Pet Hotel: ?
Animal Spa: ?
Answers
Answer:
Pet Hotel: 42.50 x + 64 y =277
Animal Spa: 35.50x + 50.5y = 225.50
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each place:
For Pet Hotel, the total cost (277) must be equal to the product of the number of cats (x) and the charge per cat (42.50) plus the product of the number of dogs (y) and the charge per dog (64) .
Mathematically speaking:
Pet hotel: 42.5 x + 64 y =277
Same process for Animal Spa:
Animal Spa: 35.5 x + 50.5y = 225.50
The system is:
42.5 x + 64 y =277 (Pet Hotel)
35.5 x + 50.5y = 225.50 (Animal Spa)
The quantities xxx and yyy are proportional. xxx yyy 5.85.85, point, 8 5.85.85, point, 8 7.57.57, point, 5 7.57.57, point, 5 11.211.211, point, 2 11.211.211, point, 2 Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x. r =r=r, equals
Answers
Question:
The quantities x and y are proportional.
x y
5.8 7.5
11.2
Find the constant of proportionality (r) in the equation y=rx
Answer:
The constant of proportionality is 75/58 or 1.29
Step-by-step explanation:
Given
The table above
Required
Find the constant of proportionality
The question has an incomplete table but it can still be solved because x and y are proportional.
Given that
y = rx
Make r the subject of formula
Divide through by x
y/x = rx
y/x = r
r = y/x
When y = 7.5, x = 5.8
Substitute these values
r = y/x becomes
r = 7.5/5.8
Multiply denominator and numerator by 10
r = (7.5 * 10)/(5.8 * 10)
r = 75/58
In this case, it's best to leave the answer in fraction.
However, it can be solved further.
r = 75/58
r = 1.29 (Approximated)
Hence, the constant of proportionality is 75/58 or 1.29
Answer:
the correct answer is 1
hope this helps :D
Find the decimal equivalent to 415.
0.26
0.2ModifyingAbove 6 with bar
ModifyingAbove2.6 with bar
ModifyingAbove2.6 with bar
Answers
Answer:
[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)
Step-by-step explanation:
We want to find the decimal equivalent of 4/15.
[tex]\dfrac{4}{15}=0.266666666.....[/tex]
Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:
[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]
The correct option is B.
Answer:
i got you bro the answer is 0.26 with a line on top of the 6
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet and a height of 14 feet. Container B has a diameter of 18 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. After the pumping is complete, what is the volume of the empty space inside Container A
Answers
Answer:
First, let's work out the V of container A and B
V_A = pi x (diameter/2)^2 x height = pi x (26/2)^2 x 14 = 2366 pi (ft3)
V_B = pi x (diameter/2)^2 x height = pi x (18/2)^2 x 15 = 1215 pi (ft3)
After pumping water from container A to container B until B is full:
The empty space inside container A would be:
V_empty = V_A - V_B = 2366 pi (ft3) - 1215 pi (ft3) = 1151 pi (ft3) = ~3615.97 (ft3)
Answer:
3,815.1 feet³
Step-by-step explanation:
Volume filled in B = Volume emptied from A
pi × r² × h
3.14 × (18/2)² × 15
3815.1 feet³
The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:
PPLLLZZZ HEEELPP WILL MARKK BRAINLESTTT!!!! PLEASE HURRY
Car A
y = 55x + 32
Car B
y = 42x + 58
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?
2 hours, 142 miles
2 hours, 145 miles
3 hours, 142 miles
3 hours, 145 miles
Answers
Answer:
2 hours, 142 miles
Step-by-step explanation:
Given;
equation of motion of car A as;
y = 55x + 32
equation of motion of car B as;
y = 42x + 58
where;
y is distance measured in miles
x is time measured in hours
When the distance of the two cars are equal, we will have the following equation;
55x + 32 = 42x + 58
collect like terms and solve for x
55x - 42x = 58 - 32
13x = 26
x = 26 /13
x = 2 hours ( x is time measured in hours)
Now substitute in the value of x into any equation of the cars;
y = 55x + 32
y = 55 (2) + 32
y = 110 + 32
y = 142 miles ( y is distance measured in miles)
Thus, the correct option is 2 hours, 142 miles
Identify the following data set: ....a manager of a movie theater was asking customers at the concession stand how they would rate the theater's staff.
Population
Sample
Answers
1. Sample
2. Population
3. Parameter
4. Statistic
Seven different models cars, from which there are three blue and four red, are to be parked in a row. Find how many different arrangements there are if the first, the last, and the car in the middle of the queue should be blue.
Answer ASAP for brainliest answer!
Answers
Answer:144 ways
Step-by-step explanation:
Given
There are 7 different models cars
out of which three are blue and 4 are red
If the first middle and last car in Queue is blue car therefore the position of blue cars is fixed
But these 3 cars can be arranged in 3! ways
Remaining 4 cars can be arranged in remaining 4 spots in 4! ways
Therefore total no of ways are
[tex]=3!\times 4![/tex]
[tex]=6\times 24=144\ ways[/tex]
Imagine there are two chambers. Chamber P is filled with air while Chamber Q has no air in it (a vacuum). If a leaf and a brick are dropped from the top of each chamber at the same time, where will they hit the ground at the same time?
A.in both chambers
B.in chamber P only
C.in chamber Q only
D.in neither chamber
Answers
Answer:A.in both chambers
Step-by-step explanation:
Look up the test on the moon.
and the test on Netflix
Find the equivalent expression.
2^2
Answers
Explanation:
2^2=2*2=4
Answer:
4
Step-by-step explanation:
2 times by itself would make 4
Hope this helps
God loves you
This is like a stupid question I know how to do it but I just can’t so could someone help
Answers
Answer:
-6.7, -28/5, 8.2, 17/2
Step-by-step explanation:
Divide the fractions to turn them into decimals, then organize from least to greatest!
Answer:
The second one
Step-by-step explanation:
Divide 17 by 2 = 8.5
Divide -28 by 5 = -5.6
Therefore:
-28/5, -6.7, 8.2, 17/2
Hope this helps!
round 37358 to the nearest hundreds
Answers
Answer:
37400
Step-by-step explanation:
just cause.
Answer:
37400
Step-by-step explanation:
Find the hundreds place. 37358Look at the number before it. 37358If the number is 5 or more, round the hundreds place up one.if the number is 4 or less, keep is the same.Which of the following could represent the scale factor of the larger figure to the smaller figure?
15.9
5:3
3:2
21:14
2:3
20:30
Answers
Answer:
3:2 and 21:14
Step-by-step explanation:
The same side on the larger and smaller cylinders is 30 and 20 respectively or 18 to 12
Simplify:
30:20 => 3:2
18:12 => 3:2
Therefore, the answer is 3:2
However, in addition you can multiply 3 by 7 to get 21 and 2 by 7 to get 14, so 21:14 also works
math help pls, thank you
Answers
Answer:
D. A minimum
Step-by-step explanation:
Point F is lower than the points nearby, both to the left and the right. Therefore it is a local minimum.
Which are perfect squares? Check all that apply.
A) 9
B) 24
C) 16
D) 200
E) 169
F) 625
Answers
Answer:
A
Step-by-step explanation:
Answer:
A. 9
C. 16
E. 169
F. 625
Step-by-step explanation:
interpreting cluster and outliers
Answers
Answer:
huh
Step-by-step explanation:
confused
Bess took several excellent pictures of Mount St. Helens' eruptions. She decided to sell her enlarged pictures at different prices from $3 to $5.
If she sold 50 pictures, which of these is a reasonable estimate of the money she could make?
O A $90 to $150
O B. $150 to $250
OC. $120 to $200
OD. $160 to $300
OE. $300 to $500
