Answer: 30x+2, 0<x<10
24x+6, x>10
Step-by-step explanation:
Make sure the x>6 has the line under the >. It would not let me enter it like that.
The piecewise function that models the cost of x pounds of trout is: [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex],
What is piecewise function?"It is a function that is defined on a sequence of intervals."
For given question,
'x' represents number of pound of trout.
Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order.
We write this in equation form as,
f(x) = 30x + 2
This is possible if Karen orders less than 10 pounds.
So, the function would be,
f(x) = 30x + 2, 0 < x < 10
If Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6.
This means, the function would be,
f(x) = 24x + 6, x > 10
Hence, the piecewise function that models the cost of x pounds of trout is: [tex]\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }[/tex]
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A fruit dessert contains rasberries and strawberries in the ratio 1:2. There are 400 g of strawberries in the dessert. a) How many grams of rasberries are there in the dessert? b) How much fruit is there altogether in the dessert?
Answer:
a) 200 g
b) 600 g
Step-by-step explanation:
Given
Raspberry : Strawberry Ratio = 1 : 2 Strawberry = 400 ga) Raspberry = half of strawberry as per ratio
400 g / 2 = 200 gb) Total of fruit
400 g + 200 g = 600 gDivide 5 3/4÷1 1/2. Answer: 3 5/6 4 1/4 7 1/4 8 5/8
Answer:
[tex]3\frac{5}{6}[/tex]
Step-by-step explanation:
Convert each mixed number into an improper fraction: 5 3/4 = 23/4, 1 1/2, 3/2Re-write it: 23/4 ÷ 3/223/4 ÷ 3/2 = 23/4 × 2/323/4 × 2/3 = 46/12Simplify: 46/12 = 23/623/6 = 3 5/6I hope this helps!
Find the equation of the line with slope = -2 and passing through (3,2). Write your equation in the form
y = mx +b.
Answer:
Step-by-step explanation:
y - 2 = -2(x - 3)
y - 2 = -2x + 6
y = -2x + 8
find the distance between the two points rounding to the nearest tenth (if necessary)
(8,-4)and (3,8)
The distance between the given points is 13 units.
We have two coordinate points A(8, -4) and B(3, 8).
We have to determine the distance between these two points.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of 1st point - A(8, -4)
Coordinates of 2nd point - B(3, 8)
Using the distance formula given -
d = [tex]\sqrt{(3-8)^{2} + (8-(-4)^{2} }[/tex]
d = [tex]\sqrt{(-5)\times (-5) + (12)\times (12)}[/tex]
d = [tex]\sqrt{25 + 144}[/tex]
d = [tex]\sqrt{169}[/tex]
d = 13 units
Therefore, the distance between the given points is 13 units.
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Solve 12 + 12a + 4a = -4
Answer:
a=-1
Step-by-step explanation:
we need to get a by itself
first combine like terms
12+16a=-4
now we need to get rid of the 12 so subtract it to other side
-16=16a
now divide 16 by -16 which gives you -1=a
is x and x2 a like term
Answer:
i would like to say yes.
Step-by-step explanation:
–0.4(3x – 2) + StartFraction 2 x plus 4 Over 3 EndFraction for x = 4
Answer:
0
Step-by-step explanation:
Given
- 0.4(3x - 2) + [tex]\frac{2x+4}{3}[/tex] ← substitute x = 4 into the expression
= - 0.4(3(4) - 2) + [tex]\frac{2(4)+4}{3}[/tex]
= - 0.4(12 - 2) + [tex]\frac{8+4}{3}[/tex]
= - 0.4(10) + [tex]\frac{12}{3}[/tex]
= - 4 + 4 = 0
PLEASE HELP IM TIMED ILL MARK AS BRAINLEIST Which expression can be used to determine the slope of the linear function graphed below?
A:-4-0/2-0
B:0-(-4)/2-0
C:0-2/-4-0
D:2-0/-4-0
Answer:
B
Step-by-step explanation:
Slope equation is rise/run. The function rises by 4 and runs by 2 (in other words, y increases by 4 and x increases by 2)
Choose the correct expression for: 10 decreased by 3x A. 10 + 3x B. 10 - 3x C. 3.x (10) D 10/3x E. 3x - 10
Answer:
B. 10 - 3x
Step-by-step explanation:
Answer:
It is B
Step-by-step explanation:
Because if u read out the answers it would be 10 minus 3x
4 times a number is 16
Answer:
4 times 4 equals 16
Step-by-step explanation:
4 times 1= 4
4 times 2= 8
4 times 3= 12
4 times 4= 16
you add 4 after each result.
there are 48 people in gym class
5/8 of the people were in spin class
1/3 of the people were lifting weights
the remaining people were running
How many people were running?
the sum of two consecutive integers is 99. Find the value of the smaller integer. (Show work)
Answer:
49.5
Step-by-step explanation:
99/2=49.5
Kristin goes to the mall and buys a pair of brand name sunglasses on sale
for 33% off the regular price of $240.00. About how much will she have to
pay?
Answer:
$79.20 savings.
please help me i’m not trying to fail
A square cloth has an area of 285 square
centimeters. To the nearest centimeter, what is the
length of one side of the cloth? (Your final answer
should just be a whole number)
Diamond bought a few swirl marbles and divided it equally among four of her friends and her brother, Jordan. While playing, Jordan lost 4 marbles and has only 8 marbles at present. Find how many marbles Diamond bought in all.
Answer:
45?
9 marbles x 5 (four of her friends plus jake)
Step-by-step explanation:
A full container that holds 96 fluid ounces developed a leak in the bottom. After 72 hours, all the liquid had emptied from the container. What was the average rate at which the liquid drained from the container, in fluid ounces per hour? and an yall explain the answer step by step please and thank you
solve the inequality
4(1-x)+5(1+x)>3x-1
Answer: x < 5
Step-by-step explanation:
4 - 4x + 5 + 5x > 3x - 1
9 + x > 3x - 1
10 > 2x
x < 5
The area of the football field is 57,600 square feet. If the width of the field is the length,what is the length of the football field?
Answer:
240
Step-by-step explanation:
57600=10×24×10×24
1. What does the equation m= 7.50 mean in this situation?
Multiply
2y-2u9•3y9•u6
Simplify your answer as much as possible.
Step-by-step explanation:
this is you answer solved.
Write a fraction that is equal to 5
The fraction [tex]\dfrac{10}{2}[/tex] is equal to 5.
Important information:
The given number is 5.Fraction:The given number can be written as:
[tex]5=\dfrac{5}{1}[/tex]
Now, multiply the numerator and denominator by the same natural number which is greater than 1, to get a fraction.
Multiply the numerator and denominator by 2.
[tex]\dfrac{5\times 2}{1\times 2}=\dfrac{10}{2}[/tex]
Therefore, the fraction [tex]\dfrac{10}{2}[/tex] is equal to 5.
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The fraction 5/1 is equal to 5, 25/5, and 30/6.
We have,
When we write a whole number as a fraction, we can express it by placing the number over the denominator of 1.
This is because any number divided by 1 is equal to itself.
In the case of the number 5,
We can write it as a fraction by placing it over 1:
5/1
This fraction represents the whole number 5, where the numerator (5) indicates the quantity or value, and the denominator (1) represents a single unit.
Or,
25/5 can also be written as 5// = 5
30/6 can also be written as 5/1 = 5
Thus,
The fraction 5/1 is equal to 5, 25/5, and 30/6.
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ERROR ANALYSIS In Exercises 31 describe and
correct the error in finding the distance between
A(6,2) and B(1,-4).
31.
X
AB = (6 - 1)^2 + [2-(-4)]^2
=5^2 + 6^2
= 25 + 36
= 61
The student is doing great so far. However, they forgot to take the square root of that result to get the final answer of [tex]\sqrt{61}[/tex]
The exact distance is [tex]\sqrt{61}[/tex] which approximates to roughly 7.81024967590666
----------------------
This is what the steps should look like
[tex]AB = \sqrt{ (6-1)^2 + (2-(-4))^2}\\\\AB = \sqrt{ (5)^2 + (6)^2}\\\\AB = \sqrt{ 25 + 36}\\\\AB = \sqrt{ 61} \ \ \text{ Exact distance}\\\\AB \approx 7.81024967590666 \ \ \text{ Approximate distance}\\\\[/tex]
9. The length of a rectangle is 6 inches more than its width. If the perimeter of the
rectangle is 24 inches, find its dimensions
Answer:
Width is 3 length is 9 :)
Step-by-step explanation:
I'm doing this stuff right now
how many times does 193 go into 700
Answer:
3 times
Step-by-step explanation:
if we look at 193 times 1 its 193, times 2, its 386, times 3, 579 with a remainder of 131
Is the value of these expressions the same?
Explain.
4 x 6 - 4
4 x (6-4)
Answer:
24-4= 20
4×2= 8
Step-by-step explanation:
4 by 6 is 24 minus 4
6-4 is 2 by 4 is 8
Answer:
no
Step-by-step explaination:
first equation: well, you first do 4x6, witch is 24, then you subtract the 4, witch is: 4x6=24, 24-4= 20
second equation: since 6-4 are in bracets, you do that sum first, witch is equal to 2, then you multiply that result by 4, witch is 8, conclusion: (6-4)=2, 2x4=8
answere: 20 deos not equal to 8, so, no.
(sorry if my explaination is bad, im new here)
Which function is the inverse of f(x) = 2x + 3
Answer:
29
Step-by-step explanation:
because I do math for funnnnnsnnsnsnssn
what is
-4|5+m|
[tex]m = - 3[/tex]
Steps to solve:
-4|5 + m|
~Substitute
-4|5 - 3|
~Simplify
-4|2|
~Multiply
-8
Best of Luck!
Solve for x: -4x – 18 = 22
Answer:
x=-10
Step-by-step explanation:
Solve for x.
[tex] - 36 + 7x = 76 - x[/tex]
x = [?]
Answer:
Hey there!
-36+7x=76-x
-36+8x=76
112=8x
x=14
Let me know if this helps :)