Answer:
The vertex is (-1, 4), the domain is all real numbers, and the range is y less than 4
Step-by-step explanation:
Given
[tex]f(x) = -(x+1)^2 + 4[/tex]
Solving (a): The vertex;
Assume the general form of a function is
[tex]f(x) = a(x-h)^2+k[/tex]
The vertex is determined by [tex](h,k)[/tex]
By comparison, we have:
[tex]-h = 1[/tex]
Solve for h, we have:
[tex]h = -1[/tex]
[tex]k = 4[/tex]
So, the vertex is:
[tex](h,k) = (-1,4)[/tex]
The domain; x is all real numbers
From the function;
[tex]f(x) = -(x+1)^2 + 4[/tex]
This can be rewritten as:
[tex]f(x) = 4 - (x+1)^2[/tex]
This implies that:
Whatever the value of [tex](x + 1)^2[/tex] is, it will be subtracted from 4 to give y or f(x);
Hence:
y is less than 4
Option B answers the question
Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
O y=*+3
O y=-*x+3
Answer: y= -2x + 3
Step-by-step explanation:
ayer 100% A company sells cases of tomato juice. Each case contains 24 cans of juice and sells for $18. The equation y = 18x represents the total price ( y), in dollars, when x number of cases are sold. Choose all statements about the situation that are correct based on the information. A. The cost per can is dependent on the number of cases sold. B. The number of cans sold is dependent on the price per can. C. The total price for a sale is dependent on the number of cases sold. D. The number of cases sold is independent from the number of cans in each case.
Answer:
c
Step-by-step explanation:
Answer:
C is the answer
PlSSSSSS HELP multiple choice
NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Tell me what the answer is for these 3 questions
Answer:
First one: y-intercept = 1
ordered pair: (0,1)
Second one: y-intercept = -1
ordered pair: (0,-1)
Third one: y-intercept = 4
ordered pair: (0,4)
Answer:
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
Step-by-step explanation:
The y-intercept is the line crossing the y-axis
(0, number here that cross y-axis)
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
I don’t understand this
Answer:
9 to the 5th power
Step-by-
Answer:
n=5 I think...
Step-by-step explanation:
9^7/9^n = 9^2
Multiply by (n)
9^7-n = 9^2
7-n=2
7-n=2: n=5
-n=-5
Simplify:
n=5
Complete the ordered pair for both equation. Will give brainiest
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So if you know that order pairs go like (x,y) that means that the 12 in (12,y) is the x so if we plug into the equation we can get y...
[tex]y=\frac{2}{3} (12)+ 5\\y=8+5\\y=13[/tex]
So the order pair is (12, 13).
Now for the next one it's the same concept but this time we'll plug in for y because the -2 is in the (x, y) so we have to find the x...
[tex]5x-9(-2)=3\\5x+18=3\\5x=-15\\x=-3[/tex]
So the order pair is (-3, -2).
¿Cuál es la desigualdad de 3 x - 4> 4-4-3 x
which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST
Answer:
I believe it is 1 and 3 only. (I & III only)
Step-by-step explanation:
5(-1) = -5
-5 - 10 is less than -5, so I is true.
5(9) = 45
45-10 is not less than -5, so II is false.
5(1) =5
5-10 is equal to -5, so III is true.
Answer:
I. and III.
Step-by-step explanation:
5x - 10 ≤ -5
I. -1
5(-1) - 10 ≤ -5
-5 - 10 ≤ -5
-15 ≤ -5
-15 is less or equal to -5, thus I. is an option
II. 9
5(9) - 10 ≤ -5
45 - 10 ≤ -5
35 ≤ -5
35 is not less or equal to -5, thus II. is not an option
III. 1
5(1) - 10 ≤ -5
5 - 10 ≤ -5
-5 ≤ -5
-5 is less or equal to -5, thus III. is an option
PLEASE HELP ME ASAP!!!! I WILL GOVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
its the last one
Which table has a constant of proportionality between y and x of 0.3
when you multiply the x number in the table c by 0.3 you get the same answer as the one in the y column. The constant of proportionality is the value that stays constant in the ratio. Since when you multiply each number in the x column by 0.3 and you always get the number in the y column it shows that the table c is correct.
Solve for a.
a+(−5)=−12
RELATING CONCEPTS For Individual or Group Work (Exercises 105-108)
A manufacturer has fixed costs of $1000 to produce gizmos. Each gizmo costs $5 to
make. The fixed cost to produce gadgets is $750, and each gadget costs $3 to make.
Work Exercises 105-108 in order.
105. Write an expression for the cost to make x gizmos. (Hint: The cost will be the sum
of the fixed cost and the cost per item times the number of items.)
106. Write an expression for the cost to make y gadgets.
107. Write an expression for the total cost to make x gizmos and y gadgets.
108. Simplify the expression from Exercise 107.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Fixed cost to produce gizmo = $1000
Cost to produce each gizmo = $5
Fixed cost to produce gadget = $750
Cost to produce each gizmo = $3
A.) Expression to make x gizmo:
Fixed cost + 5x
$1000 + 5x
B.)Expression for cost of making y gadget:
Fixed cost + 3y
$750 + 3y
C.) Cost of making x gizmo and y gadget :
($1000 + 5x) + ($750 + 3y)
D.) $1750 + 5x + 3y
PLEASE HELP ME What is the amount of rain fall for the 1M 6 months of the year in Kennedale Texas
Arlington Texas Rainfall Amounts
Month
January
February
March
April
May
June
Rainfall Amount
+0.5 inches
-1.26 inches
+0.32 inches
+3.71 inches
- 1.27 inches
-2.40 Inches
A 2 inches
B. -0.4 inches
C 0.8 inches
D. -1.3 inches
Loo
Answer:
.5
Step-by-step explanation:
10) Sarah is 3 years older than her sister Mary.
Together their ages add up to 23. How old is Mary?
Answer:
20
Step-by-step explanation:
20 - 3
Sarah is 3 years older so 23 is going to be subtracted.
Six and forty-two ten-thousandths as a decimal
Answer:
6.0042
Step-by-step explanation:
6 and forty-two ten-thousandths as a decimal.
mixed number : [tex]6\frac{42}{10,000}[/tex]
decimal : 6.0042
Uma caixa contém 40 bolinhas de jogo de tênis, sendo 10 verde, 14 azuis e 16 vermelhas. Retirando uma bola ao acaso da caixa, qual a probabilidade desta bola ser vermelha? Assinale a alternativa correta, que representa a probabilidade desta situação.
Answer:
i dont speak spanish
Step-by-step explanation:
Find the slope of the line going through the points
(7,13) and (7,6). Write your answer in simplest
form. If the slope is undefined, write "undefined".
Answer:
Dont ask me
Step-by-step explanation:
Okay!!!!!
heather has red and green pens in her stationery cupboard. the ratio of green pens to the total number of pens is 4:11
what fraction of heathers pens are green
what is the ratio of green pens to red pens
heather has 56 red pens. how many green pens does she have
Step-by-step explanation:
Pen colors given = Red and green
Ratio;
Green pen : Total pen
4 : 11
Solution:
1. what fraction of heathers pens are green;
Fraction = [tex]\frac{green pen}{total pen}[/tex] = [tex]\frac{4}{11}[/tex]
2. Ratio of green pens to red pens:
let the multiples = x
Green pen Red pen Total pen
4x ? 11x
Red pen = 11x - 4x = 7x
Ratio of green pen to red pen:
4 : 7
3. heather has 56 red pens. how many green pens does she have
Number of red pen = 56;
Number of green pens = ?
Since the ratio is;
4 : 7
Number of green pen = [tex]\frac{56 x 4}{7}[/tex] = 32
a) cual es la resistencia equivalente de todo el circuito
B) cual es la corriente I de la bateria
What is:
6t-2/4 + 4 (t+1) when t=5
Answer:
2 /20t+7
Step-by-step explanation:
The set {1,2,3,4,...} is called the set of
This is an example of a finite set
I hope this is the answer you're looking for :)
5) Kareem Abdul-Jabbar holds the NBA record for the most points scored in a
career, 38,387. In the first 280games of his career, LeBron James has scored 7446
points. At this rate, how many more games willLeBron James need to play to
break Abdul-Jabbar's career record?
Answer:
Step-by-step explanation:
LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.
What is rate of change?A rate of change is a rate that describes how one quantity changes in relation to other.
Given world record Kareem Abdul-Jabbar = 38,387 points.
Games played by LeBron = 280 games
Score of LeBron = 7446 points
Hence for each point LeBron has to play = 280/7446 games
Therefore to break the world record number of games required
= (280*38,387)/7446
number of games required = 1443.5
or, number of games required = 1444
Hence,at this rate LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.
More about Rate of change :
https://brainly.com/question/13715523
#SPJ2
A grocery store sells cheese for $0.48 a pound. What would be the price for 6 pounds of cheese?
Answer:
$2.88
Step-by-step explanation:
0.48×6=2.88
os the right answer
Which point is located at (-1,3)?
Answer:
C
Step-by-step explanation:
1 back, 3 up.
Always, Sometimes, or Never?
5x>0
Answer:
Sometimes
Step-by-step explanation:
A study was being conducted about birth weights of babies at a local hospital and found the average to be 7.6 pounds with a standard deviation of 1.3 pounds (the distribution was approximately normal). Many pre-mature births weights are in the lowest 1% of births. What would be the birth weight associated with the lowest 1%?
Answer:
The birth weight associated with the lowest 1% is 4.6 pounds.
Step-by-step explanation:
Let X represent the birth weights of babies.
It is provided that [tex]X\sim N(7.6,1.3^{2})[/tex]
It is also provided that many pre-mature births weights are in the lowest 1% of births.
Let x represent the births weights that are in the lowest 1% of births.
That is, P (X < x) = 0.01.
⇒ P (Z < z) = 0.01
The corresponding z-score is, z = -2.33.
Compute the value of x as follows:
[tex]z=\frac{s-\mu}{\sigma}\\\\-2.33=\frac{x-7.6}{1.3}\\\\x=7.6-(1.3\times 2.33)\\\\x=4.571\\\\x\approx 4.6[/tex]
Thus, the birth weight associated with the lowest 1% is 4.6 pounds.
What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?
4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6
Answer:
the answer is 1/6
i got it right edg 2020
Step-by-step explanation:
dont come at me because we had the same answer
Answer: 1/6
Step-by-step explanation:
you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
What line is perpendicular to y=2/7x+11/7 travel through (-3,8)
Answer:
2y- 16 = 7x + 21
Step-by-step explanation:
Y= mX+ c
y = (2/7)x + 11/7
m= gradient= 2/7
The perpendicular gradient should be the negative reciprocal of the gradient we have now.
which is : -1÷(2/7) = -7/2
Now for the perpendicular line equation, we have:
y = 8x= -3m= 7/2y - y1 = m ( x - x1 )
y - 8 = 7/2 ( x + 3 )
2y - 16 = 7x + 21
To win a trivia game you must score 90 points each correct answer is worth 1 3/4 points, each incorrect point is worth -1/4 points if he gets 58 questions correct and 22 questions incorrect, what is his score?