Answer:
the domain is xl-5<×< 3 is the range of 16
The domain is all real numbers. The range is {y|y ≤ 16}.
Domain of the functionThe domain of a function is all the of values of the input or independent variable into the function
Since the x-intercepts of the function are at (-5, 0) and (3, 0), and also, the graph opens downwards, the values of x are in the interval (-∞ ≤ x ≤ -5) ∪ (-5 ≤ x ≤ 3) ∪ (3 ≤ x ≤ ∞). This is (-∞ ≤ x ≤ ∞).
So, the domain is the set of all real numbers.
The range of a functionThe range of a function is all the output values of the function
Since the vertex of the parabola is at (-1, 16) and its y-intercept is at (0, 15), the maximum value of y is 16. So, the values of y are in the range y ≤ 16.
So, the range of the function is {y|y ≤ 16}
So, the domain is all real numbers. The range is {y|y ≤ 16}.
Learn more about domain and range of a function here:
https://brainly.com/question/10197594
To get the x and the y
Answer:
x = 16
y = 20
Step-by-step explanation:
the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.
since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²
; 9² + 12² = c²
; 225 = c²
;√225 = c
; 15 = c
since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',
; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]
; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx
36.86 = x
now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.
; 90 - 36.86 = 53.13
[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]
; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20
y = 20
again, since we have 2 sides of a right angled triangle we use a² + b² = c²
we arrange this formula since we have the hypotenuse
; 20² - 12² = 256
; √256 = x
; 16 = x
PLSS HELP (Write your answer with only positive exponents.)
Answer:
-g^8
Step-by-step explanation:
it would still remain the same as it is shown because the "g" is negative and the "8", the exponent, is positive
Help me plzzzzzzzzzzzzz
Answer:
The area of a circle.
Step-by-step explanation:
Can I get brainiest please
Someone pls help me with 1 I need a answer and a explanation
Answer:
Im fairly sure the equation is D, a+5=11
Step-by-step explanation:
Kate has gone up 11 times and 5 more times than Andre, so 11-5 HAS to be the amount of times Andre has gone up.
If we reorganise this equation then we get a+5=11
The probability Alia wins a chess game is 0.4. Given that she plays only 5 games a week, find the probability that in any week she wins at least 2 games. *
Answer:
0.66304
Step-by-step explanation:
probability ( p ) = 0.4
number of games played ( n ) = 5
Find the Probability of winning at least 2 games
P( wining ) = 0.4.
P ( losing ) ( q ) = 1 - 0.4 = 0.6
x = 2 , 3 , 4 , 5
P ( at least 2 out of 5 ) = p( k=2) + p(k=3) + p(k=4) + p(k5 )
= 0.3456 + 0.2304 + 0.0768 + 0.01024
= 0.66304 ( using binomial distribution calculator )
Eric's tackle box has 4 sections for fishing lures. Eric has 28 lures.
He wants to put the same number of lures in each section.
How many lures should he put in each section?
Eric should put 7 lures in each section.
28/4=7
what is the answer to
= √1 −
Answer:
0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Its 1 because the square root of anything is that number having the ability to be multiplied by the same number. And that is going to be a positive number.
can someone tell me plis how are they equivalent ?
Answer:
A) 5/9 times 4/3 = 20/27
B) 2/4 times 5 = 10/20
Step-by-step explanation:
HELLPPPPPPPP I NEED THIS AMSWER IN LESS THEN 2 mins
Answer:
x = 15
m<RQP = 33degrees
Step-by-step explanation:
From the given diagram, m<P = 90degrees
Equating this to 5x+15
5x+15 = 90
5x = 90 - 15
5x = 75
x = 75/5
x = 15
m<RQP = 2x+3
m<RQP = 2(15) + 3
m<RQP = 30 + 3
m<RQP = 33degrees
In a roll of aluminum foil, the inner cardboard tube has a diameter of 1.75 inches and a height of 18 inches I the tube is cut and unfolded to form a rectangle, what is the lateral area?
find the area of the shaded region
Answer:
42.92
Step-by-step explanation:
Combine like terms.
y + 2 + 8(y + 7) =
Answer:
Step-by-step explanation:
y+2+8(y+7)
y+2+8y+56
9y+58
s=10 what is the volume of the prism
. Rotate 90 degrees- clockwise.
Answer:
(4,-1), (2,-5), and (5,-5).
Step-by-step explanation:
There is a formula for rotating points about the origin counterclockwise; r90°(x,y) = (-y,x)
I never heard of a clockwise one before.
Maybe you can use this to help you find the formula for the clockwise rotation.
(please hurry) Which expression is equivalent to -6x³•x•y²•y^6?
-6x³y^8
-6x²y^12
-6^4y^8
-6^4y^12
Answer:
The third one
Step-by-step explanation:
Answer:
the third one
Step-by-step explanation:
the price p of an aluminum tube is jointly proportional to its radius r and the length l. if a 12-foot pipe with 5-inch radius costs 5250 pesos, how much will be the cost of a 9-foot pipe with a 6-inch radius?
Answer:
4725 pesos
Step-by-step explanation:
The price p of an aluminum tube is jointly proportional to its radius r and the length l.
For joint variation, we have the expression:
p ∝rl
Hence
p = krl
Step 1
Solving for k
if a 12-foot pipe with 5-inch radius costs 5250 pesos,
5250 = k × 12 × 5
5250 = 60k
k = 5250/60
k = 87.5
Step 2
how much will be the cost of a 9-foot pipe with a 6-inch radius
We make use of the expression:
p = krl
p = 87.5 × 9 × 6
p = 4725 pesos
Therefore, the cost is = 4725 pesos
HELP I DONT UNDERSTAND.
Answer:
Step-by-step explanation:
the answer " I need because" isn't even correct.. :P
it should be " I need one more side of each triangle , because then I can use the side angle side rule to say the triangles are the same. "
write and equation in slope intercept form for the line that passes through the given points (0,7) and (1,5)
Answer:
y = -2x + 7
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 7 / 1 - 0
-2 / 1
= -2
y = -2x + b
5 = -2(1) + b
5 = -2 + b
7 = b
Big brutus pizza had two deals on pizza the first was $6 for a cheese pizza plus $3 for each topping the second deal was $20 per cheese pizza and 1 dollar per topping wat is the x and y
Answer:
[tex]x = 7[/tex] --- toppings
[tex]y = 27[/tex] ---- amount
Step-by-step explanation:
Given
[tex]y \to\ amount[/tex]
[tex]x \to\ topping[/tex]
The first deal is:
[tex]y = 6 + 3x[/tex]
The second is:
[tex]y = 20 + x[/tex]
Required
The value of x and y [for which both deals are equal]
We have:
[tex]y = 6 + 3x[/tex]
[tex]y = 20 + x[/tex]
Equate both
[tex]y=y[/tex]
So, we have:
[tex]6 + 3x = 20 + x[/tex]
Collect like terms
[tex]3x - x = 20 - 6[/tex]
[tex]2x =14[/tex]
Divide by 2
[tex]x = 7[/tex]
Substitute [tex]x = 7[/tex] in [tex]y = 20 + x[/tex]
[tex]y = 20 + 7[/tex]
[tex]y = 27[/tex]
PLS HELP
Given the following diagram, find the required measures.
Given: l || m
m∠1=120
m ∠3=40
m ∠5=
40
120
60
Answer:
60
Step-by-step explanation:
Alternate angels are the same
so angle 5 is equal to angle 2 and angle 2 is 60 because 180-120=60
Answer:
60
Step-by-step explanation:
Hank's Hardware purchased a barbecue grill for $350.36 and marked it up 185%. During a sale, the store marked it down 20%. What was the discount price of the barbecue grill?
Answer:
798.82
Step-by-step explanation:
round 798.824
What is the value of (-½)-⁴
A. -16
B. -1/16
C. 1/16
D. 16
what is the answer help me quick!!!.
Answer:
B
Step-by-step explanation:
Remember SOHCAHTOA:
SOH = Sine is Opposite over Hypotenuse
CAH = Cosine is Adjacent over Hypotenuse
TOA = Tangent is Opposite over Adjacent
The Tan of A would be [tex]\frac{10.9}{5}[/tex]
The Tan of B would be [tex]\frac{5}{10.9}[/tex]
Therefore, B is correct.
The answer is B
Step-by-step explanation:
Tan = the abbreviation toa which means in a right angled triangle the opposite side over the adjacent side is equals to the tan of the angle.
Therefore, tan B =opposite side angle B over adjacent side angle B.
tan B=5/10.9
A store sells 3 hats for a total of $47.25. The cost of each hat is the same. What is the cost, in dollars, of
one hat at the store?
^
Enter your answer in the box.
dollars
Answer:
Each hat is $15.75
Step-by-step explanation:
When you take $47.25 since there is three hats you divide by 3, so you get 15.75.
Solve for x algebraically, x - 15 < 25
Answer:
x<40
Step-by-step explanation:
x-15<25
Add 15 since addition is opposite of subtraction, thus cancelling the 15 out on both sides.
x-15<25
+15 +15
x<40
---
hope it helps
HELPPPP ME ILL GIVE BRAINLEST I HAVE 5 MINS LEFT
Answer:
Question 9: 16
Question 10: 2 1/10
Step-by-step explanation:
Ok, I just need this quick question:
I will give about 50 points for an answer and if there is two answers, I will mark the first one as brainliest.
I think - 4 sin [tex]\frac{x}{2}[/tex] - 1 its probably wrong but I attempted it sorry if wrong.
a 10 foot ladder is leaning against a wall if the ladder reaches 8 feet up the wall how far is the base of the ladder from the wall.
Answer:
6ft
Step-by-step explanation:
This requires a little use of the Pythagorean Theorem.
The length of the leaning ladder is the hypothenuse of the right triangle formed by the wall and the ladder.
Hyp. = 10 ft Say this is C
The ladder height up the wall = 8 ft. Say this A.
We need to find the other leg, say B ,of the right triangle.
C^2 = A^2 + B^2
10^2 = 8^2 + B^2
100 = 64 + B^2 => B^2 = 100 - 64 = 36
B^2 = 36 so, B = 6 The positive square root since length is positive.
B = 6 ft This is how far the ladder bottom is from the wall.
Double Check: 10^2 = 8^2 + 6^2 or 100 = 64 + 36 Ok. As, it should. This check could be done mentally.
In addition, this is a Pythagorean Triple. (6, 8, 10).
Answer: 6 ft.
COPIED:)
Peter has $40.25 in his piggy bank. The amount is made up of an equal number of four coins. The coins could be 1c, 10c, 5c, 25c, 50c, and $1. Which four coin amounts are in the piggy bank, and how many of each coin. (the number of coins will be equal.)
Answer:
Step-by-step explanation:
It’s made up of the 1 dollar coin , .50 cents coin, .25 cents coin, and the .10 cents coin. If you multiply each by 25 you get the exact value , so these coins make it up but there is exactly 25 of each
PLEASE HELP ASAP !!
A car company’s profit can be modeled by the equation P = –2x^2 + 44x – 42, where P is the profit in millions of dollars and x is the number of cars sold in thousands.
(a.) How many cars are sold when the company breaks even?
(b.) What is the company’s maximum profit? How many cars sold gives the maximum profit?
Answer:
Step-by-step explanation:
In order for a company to break even, it earns no profit but it also incurs no loss. In other words, set the quadratic equal to 0 and factor to find x.
If you factor this using the quadratic formula you will get that the number of cars sold for the company to neither earn nor lose money is 1 or 21. Right in the middle is where we will find the maximum value (the vertex). This max value will give us the number of cars sold, h, and its corresponding value, k.
To solve for h easily, use the formula
[tex]h=-\frac{b}{2a}[/tex] where a and b are the coefficients found in the standard form of a polynomial [tex]ax^2+bx+c[/tex]:
[tex]h=-\frac{44}{2(-2)}=11[/tex] and for k, use:
[tex]k=c-\frac{b^2}{4a}[/tex]:
[tex]k=-42-\frac{44^2}{4(-2)}=200[/tex]
This means our vertex is (11, 200) and in the context of our problem, we know that when the company sells 11,000 cars it makes a max profit of 200 million dollars.