What is the range of the function graphed below?
Answer:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Step-by-step explanation:
Range of a Function
Given a real function f(x), the Range of f is the set of all the values the function can take when x varies within the domain of f.
If we have the graph of the function, a practical rule can be used to find the Range. Imagine a horizontal rule moving from minus infinity to plus infinity. If that rule touches the graph of the function, the vertical height or y-value belongs to the range.
Consider the function provided in the image. If our horizontal rule comes from minus infinity, it won't touch the graph until it reaches the value y=-4. Note the endpoint has a filled dot, meaning the point belongs to the function. The range starts from -4.
Going up in values of y, we touch the function until y=0. But that endpoint is marked with an empty dot, so that point does not belong to the function.
The first interval of the range is [-4,0)
Moving up the rule, we touch the function again when y=2 (included) and we note the function continues to go up to plus infinity (signaled with the arrow). Thus, the second interval is [2,+∞).
The range of f is the union of both intervals:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Answer:
B
Step-by-step explanation:
weavers are making a carpet from a scale drawing. The carpet will be 10 ft by 14 ft. Every 5 in. on the drawing represents 7 ft of carpet. What are the length and width of the scale drawing?
the answer is 9.2 in by 10 in
The length and the width of the scale drawing are 7.14 inches by 10 inches.
Since every 5 inches on the drawing represents 7 ft of carpet, then the width of the drawing will be:
= 10 × 5/7 = 50/7 = 7.14 inches
The length of the drawing will be:
= 14 × 5/7
= 10 inches.
Therefore, the length and the width of the scale drawing are 7.14 inches by 10 inches.
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h(x)=x−11 i don't get it
Jayla bought 20 candies for 10 dollars. What is the unit price dollars per candy?
Answer:
$1.00
Step-by-step explanation:
20/10=2
Answer:
$2 per candy
Step-by-step explanation:
20 \ 10 = 2
What is the value of x in the following equation? 5(x + 3) = 30x
Answer:
x= 3/5
Step-by-step explanation:
5(x+3)=30x
5x+15=30x
-5x -5x
15=25x
x= 3/5
Answer:
3/5
Step-by-step explanation:
5(x+3)= 30x [
or,
(5×x)+(5×3)= 30x
or,
5x+15= 30x
or,
5x+15-5x= 30x-5x [The result or root of the equation remains same . if we multiply, divide, add or subtract any . number from each side of the equation]
or,
15= 25x
or,
15/25= x
or,
3/5= x
So, the value of x is 3/5
Suppose SAT Writing score are normally distributed a mean of 497 and a standard deviation of 114. A university plans to admit students whose scores are in the top 30% . What is the minimum score required for admission? Round your answer to the nearest whole number.
Answer:
The minimum score required for admission to the nearest whole number = 557
Step-by-step explanation:
We solve this using z score formula.
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 30% of the candidates is a ranking that is equivalent to = 100 - 30% = 70th percentile.
The z score of 70th percentile = 0.524
Mean = 497
Standard deviation of 114.
Minimum score = raw score = ???
Hence:
0.524 = x - 497/114
Cross Multiply
0.524 × 114 = x - 497
59.736 = x - 497
x = 59.736 + 497
x = 556.736
The minimum score required for admission to the nearest whole number = 557
Which could be the first step in solving this equation?
5x + 4x - 72
A)
Combine like terms.
B)
Add 9x to both sides of the equation
0)
Subtract 72 from both sides of the equation
D)
Subtract 5x from both sides of the equation
6 lumberjacks can cut down 15 mahogany trees in 2 hours. How much longer will
it take 8 lumberjacks to cut down 35 mahogany trees working at the same rate?
B. 1}hr
c.hr
A. 3hr
D. 21hr
9514 1404 393
Answer:
3.5 hr
Step-by-step explanation:
We assume that "the same rate" means effort per tree is a constant. "Effort" is measured as the product of lumberjacks and hours. Then ...
(lumberjacks)(hours)/trees = (6)(2)/15 = (8)(t)/35
Multiplying by 35/8, we have ...
(35/8)(12/15) = t = (3·4·5·7)/(2·3·4·5) = 7/2 = 3.5
It will take 8 lumberjacks 3.5 hours to cut down 35 trees.
Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and q = 7.)
Answer:
23
Step-by-step explanation:
7-5(1)+3(7)
7-5+21
2+21
23
Answer:
7-5+21 = 23
Step-by-step explanation:
7 - 5p+ 3q
7 - 5(1) + 3(7)
7 - 5 + 21
7 + 16
= 23 hope this helps :)
Raul has 50 coupon books to sell. The total amount of money Raul will make from selling x coupon books is represented by a function.
f(x)=20x
What is the practical domain of the function?
all integers from 0 to 50, inclusive
all integers from 20 to 50, inclusive
all multiples of 20 between 0 and 1000, inclusive
all real numbers
The domain of a function is the set of its possible inputs .The output values are called the range.For any the set of values x can take is called the domain of the function.
The given function is f(x)= 50x .Here x represents number of coupons . f(x) represents The total amount of money Raul will make .
It is given Raul started with 50 coupon books and has already won a prize for selling at least 10 coupon books .
The values x can take or the domain of the function will lie between 10 and 50.
The correct option is All integers from 0 to 50, inclusive .
Answer:
The answer is 0 to 50
If you cut a 3 ¾ ft. length of wire into pieces that are ¼ ft. long, how many pieces
of wire will you have?
Answer:
3 2/4
Step-by-step explanation:
3.5 or just 3 if you round
Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she checks her kitchen for ingredients she realizes she has 3 8 quart of milk and 18 8 cups of flour. Does she have the correct amount of milk and flour to make the pancakes from the recipe? Explain.
Given:
The recipe calls for 0.5 quart of milk and 2.5 cups of flour.
She has [tex]\dfrac{3}{8}[/tex] quart of milk and [tex]\dfrac{18}{8}[/tex] cups of flour.
To find:
Whether she have the correct amount of milk and flour to make the pancakes from the recipe.
Solution:
Required Milk = 0.5 quart
Milk she has = [tex]\dfrac{3}{8}=0.375[/tex] quarts
Clearly, 0.375 < 0.5.
Required Flour = 2.5 cups
Flour she has = [tex]\dfrac{18}{8}=2.25[/tex] cups
Clearly, 2.25 < 2.5
Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe
What is the equation of a line, in point-slope form, that passes through (-2,-6)and has a slope of 1/3 ?
Answer:
y +6 = 1/3(x+2)
Step-by-step explanation:
Point slope form:
y - y1 = m(x - x1)
m = slope
Since x and y are negative, the double negatives make a positive.
Help ASAP please please plsssssssssssssssssss
Answer:
1.666666667
Step-by-step explanation:
Lisa went to the hardware store and bought 12 pieces rope. Each rope was 3/4 of a meter long. If the rope cost $3.50 a meter, how much did she spend?
Answer:
(B) 31.5
Step-by-step explanation:
Two maps are made of a park. The scale from the park to map A is 30 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on map A. The scale from the same park to map B is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on map B. 1. What is the actual length (in miles) of Salamander Trail?
Answer:
The actual length of Salamander Trail is 28 miles
Step-by-step explanation:
Here, we want to calculate the actual length of salamander trail.
From the question, we are told that a a distance of 3cm on the map B is 24 miles in the park
So now, we have length of 3.5 cm and we want to calculate what is the actual length in miles
From the question on map B;
3 cm = 24 miles
so
3.5 cm = x miles
x * 3 = 24 * 3.5
x = (24 * 3.5)/3
x = 8 * 3.5 = 28 miles
How many 180, degrees angles does it take to make a full turn?
Answer:
2 times
Step-by-step explanation:
you do the equation 180 + 180 and get 360 or you can multiply 180 x 2 and get 360. Hope this helps you!
I finished this question but I need someone to check it, thanks
Answer:
Looks good ✋
Step-by-step explanation:
Answer:
it is correct
Step-by-step explanation:
I got 5,432,113,209,876,532
Which one of these shapes is not like the others?
Shape A
Shape B
Shape C
Answer: C is more oval like than the others
Step-by-step explanation:
Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?
Answer:
35 minutes a day.
Step-by-step explanation:
4*7=28
980/28=35
Answer:
35
Step-by-step explanation:
980 divided by 28 (days in a month)
PLEASE HELPPPP ITS A MULTIPLE CHOICE ANSWER !
NEED HELP PLZ! Will give brainliest, show all your work
if i have a 74.23% in math class and i get a 0 on a Summative Assignment, what is my new grade?
Y'all are smart, please help
What do the two lines in the graph below have in common?
Answer: Parallel and same slope
Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.
branliest plssss :)
whats the answer to 4.2v-5-6.5v=
Answer:
2.3
v
−
5
Step-by-step explanation: your welcome
Answer:
v=-2.1739
Step-by-step explanation:
-2.3v-5=0 so -2.3v=5 divide by -2.3 on both sides and get -2.1739
Micheal had 1000 viruses on his phone and he got rid of 99 how much viruses does he have to get rid of? and your welcome for the points :D
901
ILY EPICFARTS2021 THANKS FOR ALL THE POINTS
Write the product as a power:
(xy) (xy) (xy) (xy)
Answer:
(xy)⁴
Step-by-step explanation:
We have 4 xy terms multiply together. That means we can rewrite it as a power of 4.
6) The wind blew away 35 of your muffins.
That was 5/6
of all of them! With how
many did you start?
Answer:
42 muffins
Step-by-step explanation:
In order to find the answer, you would divide 35 by 5/6 which would equal 42. So you started with 42 muffins.
Hope this helps and pls do mark me brainliest if you can:)
which list shows the numbers 2/3, 9/11 and 7/9 arranged from least to greatest
Answer:
2/3; 7/9; 9/11
Step-by-step explanation:
You have to divide them and you will get a decimal that is how you put them in numerical order
Solve the compound inequality.
3<2−3≤12
3
<
2
p
−
3
≤
12
3<2−3≤12
3
<
2
p
−
3
≤
12
Group of answer choices
3>≥152
3
>
p
≥
15
2
3>≥152
3
>
p
≥
15
2
3>≥152
3
>
p
≥
15
2
6>≥15
6
>
p
≥
15
6>≥15
6
>
p
≥
15
6>≥15
6
>
p
≥
15
$$66<≤15
6
<
p
≤
15
6<≤15
6
<
p
≤
15
$$3
Answer:
I would say either the 2,3,4,or 5