The function f(x)=300-25x represents the decline of population in a fishing lake that was initially stocked with 300 bass. Each year, the population reduces by 25. For instance, after 4 years, the number of bass left in the lake would be 200.
Explanation:The question is about a fishing lake that was initially stocked with 300 bass. As per the information given, the population of bass in the lake decreases by 25 each year. Therefore, if we let x represent the number of years, then every year, the number of bass decreases by 25x. This relationship is represented by the algebraic function f(x)=300-25x.
To provide a practical understanding, suppose you want to calculate the number of bass remaining after 4 years. You just substitute '4' in place of x in the equation. Hence, f(4) = 300 - 25 * 4 = 300 - 100 = 200. So, after 4 years, there would be 200 bass remaining in the lake.
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What is the remainder of the following division problem? in the pic?
A. x
B.1
C. 0
D.–1
Answer : Option B is correct.
Explanation :
Since we have given that
f(x) = x+1
and
g(x) =x
and when we divide f(x) with g(x) i.e.
[tex]\frac{f(x)}{g(x)}[/tex]
And we know the division algorithm , i.e.
[tex]f(x)=g(x).q(x) +r(x)[/tex],
Where q(x) represents quotient and r(s) denotes remainder
So, we write it in this manner ,
[tex]x+1=x.1+1\\\\\text{Remainder becomes 1}[/tex]
Hence, Remainder = 1
So, Option B is correct.
Which operation flips the graph of a function over the x-axis?
A. Multiplying the function by –1
B. Multiplying the function by 1
C. Subtracting 1 from the function
A. multiplying the function by -1
Multiplying the function by –1 is the operation flips the graph of a function over the x-axis
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The operation that flips the graph of a function over the x-axis is multiplying the function by -1.
When a function is multiplied by -1, the y-values are negated, which causes the graph to reflect over the x-axis.
if we have a function f(x) = x², the graph will be a parabola that opens upwards.
However, if we multiply this function by -1 to get -f(x) = -x², the graph will be the same parabola reflected over the x-axis and opening downwards.
Hence, Multiplying the function by –1 is the operation flips the graph of a function over the x-axis
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The temperature rose 4 f every 90 minutes before noon and rose 2 f for every 45 minutes after noon are these rates equivalent
Divide.
(5 1/4)÷(−2 1/2)
Enter your answer as a mixed number, in simplified form, in the box. Please Explain your answer.
To divide (5 1/4)÷(−2 1/2), convert the mixed numbers into improper fractions and then multiply by the reciprocal of the divisor. Simplify the result to get the quotient as -2 1/10.
Explanation:To divide the given mixed numbers, (5 1/4)÷(−2 1/2), we first convert them into improper fractions.
5 1/4 can be written as (4*5 + 1)/4 = 21/4.
(−2 1/2) can be written as (-2*2 + 1)/2 = -5/2.
Now, we can divide the fractions by multiplying the reciprocal of the divisor: (21/4) * (-2/5) = (-21/4) * (2/5) = -21/10.
Finally, we simplify the result by dividing both the numerator and the denominator by their greatest common factor, which is 1. The simplified result is -21/10, which can be written as -2 1/10 as a mixed number.
What is the answer?
If AB = 18 and AC = 3x +6 then x=
Which unit fraction should be used to convert 15 inches to centimeters?
To convert from inches to centimeters, the unit fraction used is 2.54 cm/1 in. Therefore, 15 inches is equal to 38.1 centimeters.
Explanation:To convert a measurement from inches to centimeters, we utilize a unit conversion factor. In this instance, the unit conversion factor we're interested in relates inches to centimeters. One inch is equivalent to 2.54 centimeters. Hence, the unit fraction used for such conversion is 2.54 cm/1 in.
To determine the equivalent value in centimeters for 15 inches, we multiply the number of inches (15) by our unit conversion factor (2.54 cm/1 in). This gives us the following
15 inches * 2.54 cm/1 in = 38.1 cm.
So, 15 inches is equivalent to 38.1 centimeters when converted.
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There are 18 players on the baseball team. Of these players 1/3 are girls. How many girls play on the baseball team?
divide 18 by 3
18 / 3 = 6
there are 6 girls on the team
Jill has 8.75. Jack has three times as much as Jill, but he spent 5.00 to buy a book. How much money does jack have ?
The function f(x)=3(2.5)x is shown on the coordinate plane.
Select from the drop-down menus to correctly describe the end behavior of f(x) .
As x decreases without bound, the graph of f(x) .
As x increases without bound, the graph of f(x) .
An exponential curve on a coordinate plane with horizontal x axis ranging from negative 4 to 4 in increments of 1. The vertical y-axis ranges from negative 1 to 7 in increments of 1. The curve begins infinitely close to the x axis in the second quadrant. The curve increases through begin ordered pair 0 comma 3 end ordered pair. DO NOT DELETE THIS PLZ HOEFULLY SOMEONE CAN TRY TO ANSWER IT
As x increases without bound, the graph of f(x) approaches y=0 increases without bound .
We have function [tex]f(x)=3(2.5)^x[/tex]
From the graph we can see that as x decreases without bound the graph of f(x) approaches y=0.
Also the exponential function in the graph is approaching y=0 as x decreases on the left side of the curve.
Here as the exponential function here the power is x variable and the exponential function cannot be negative for any value of x.
Therefore as x increases without bound, the graph of f(x) approaches y=0 increases without bound .
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Step-by-step explanation:
i took the test :)
What's green and fluffy and comes from outer space?
The sum of two numbers is 39 . the larger number is 17 more than the smaller number. what are the numbers?
The smaller number is 11 and the larger number is 28.
Explanation:Let's assume the smaller number is 'x'.
The larger number is 17 more than the smaller number, so the larger number can be represented as 'x + 17'.
The sum of the two numbers is 39, so we can set up the equation: x + (x + 17) = 39.
By simplifying the equation, we get 2x + 17 = 39.
Subtracting 17 from both sides gives us 2x = 22.
Dividing both sides by 2 gives us x = 11.
So, the smaller number is 11 and the larger number is 11 + 17 = 28.
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ASAP PLEASE!!! Start with the following conditional statement: If it is October 31, then it is Halloween.
a. State the converse of the statement.
b. State the inverse of the statement.
c. State the contrapositive of the statement.
Solve for x.
x2(^) + 9x = 0
At the market 8 batteries cost $10. How much will 6 batteries cost.
Which expression is equivalent to 5(8 + 9)?
M(8, 5) is the midpoint of JK. The coordinates of point J are (5, −6) . What are the coordinates of point K?
The midpoint is the exact middle of a line segment which divides the line into two equal lengths. Hence, the coordinate of K is (11, 16)
We can obtain the distance between the coordinates of JM thus :
Distance = y2 - y1 ; x2 - x1
Distance = (8 - 5) ; (5 - (-6) = (3, 11)
Hence, the change in the coordinates is (3, 11)
Therefore, the coordinates of K can be obtained thus :
(8 + 3) ;(5 + 11) = (11, 16)
Hence, the coordinate of K is (11, 16)
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50 POINTS + BRAINLIEST
Answer:x + 2y = 6
2y = -x + 6
y = -1/2 x + 3 so slope = -1/2
parallel lines has same slope = -1/2
perpendicular lines slope is opposite and reciprocal so slope = 2
if slope not equal either -1/2 or 2 then neither.
y = -1/2 x - 5 ....m= - 1/2.... parallel
-2x + y = -4
y = 2x - 4...m = 2 ....perpendicular
-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 ...m = 1/2 ...neither
x + 2y = -2
2y = -x - 2
y = -1/2 x - 1 ...m = -1/2 .....parallel
The product of two numbers is 40. if one of the numbers is 5/11, what is the other number?
Final answer:
To find the other number when the product of two numbers is 40 and one of the numbers is 5/11, we divide 40 by 5/11 to solve for the unknown number. The other number is found to be 88.
Explanation:
The question asks to find the other number when the product of two numbers is 40 and one of the numbers is given as 5/11. To do this, we can set up an equation where the product of 5/11 and the unknown number (which we can call 'x') is equal to 40.
The equation would be: (5/11) × x = 40. To solve for x, we need to do some algebraic rearrangement by dividing both sides of the equation by 5/11. This brings x into the numerator on the left side and shifts the 5/11 to the denominator on the right side. Therefore, we get x = 40 × (11/5).
Next, we multiply 40 by 11/5. This calculation results in x = 88. Thus, the other number is 88.
True or false: the regression sum of squares (ssr) can never be greater than the total sum of squares (sst).
Claire has received scores of 85,82, and 75 on her algebra tests. what score must she receive on the fourth test to have an overall test score average of at least 82
holly and melanie were playing a video game. the ratio of holly's score to melanie's score was 8:3. after melanie scored 34 points, the ratio of their scores became 2:5. what were their scores at the end?
Find the midpoint of the segment with the given endpoints. m(–2, 1) and n(–3, 2)
A bag contains purple and orange marbles. Sam randomly takes out one marble and then returns it to the bag. He does this 18 times, and 12 of those times an orange marble is pulled out. What is P(green)?
What’s the rule for the translation (x,y) (x+3,y+7)
Please help with these questions thank you very much!
On the first day of summer a rainstorm brought 2.29 inches of rain to the area. During the rest of the summer there was 3 times as much rain as on the first day. What was the total number of inches of rainfall for the summer?
To solve this problem, we simply have to multiply the original inches of rain to that of how many times it was for the rest of summer. So in this case, simply multiply 2.29 by 3, that is:
2.29 inches * 3 = 6.87 inches
Answer:
6.87 inches
Can someone pleasee match these for me ASAP?? I need them rn and u get 27 pts! The first second and fourth on the ones with operations are multiplication. The fifth is subtraction. If u could do the questions as a thru f and g and the answers as 1 thru 6 and 7 and tell me the order that'd be great, thanks!
What is the answer to: jason has 4 tiles. each tile has a number printed oon it. the numbers are 2,3,6, and 8, a decimal number is formed using the titles and the clues. be a math detective and find the number.?
I believe this problem has the following clue:
digit in the tens place is the largest number. digit in tenths place is less than the digit located in the hundredths place. the digit in the ones place is greater than the digit in the hundredths place
From this clue, we can say that the number is:
86.23
The equation of line m is 5x−3y=2. What is the slope of a line that is perpendicular to line m? Enter your answer in the box.
Step 1
Find the slope of the line M
we have
[tex]5x-3y=2[/tex]
isolate the variable y
[tex]3y=5x-2 \\ \\y=\frac{5}{3}x-\frac{2}{3}[/tex]
the slope of the line is [tex]\frac{5}{3}[/tex]
Step 2
Find the slope of the line perpendicular to line M
we know that
if two lines are perpendicular , then the product of their slopes are equal to minus one
so
[tex]m1*m2=-1[/tex]
we have
[tex]m1=\frac{5}{3}[/tex]
Find m2
[tex]m2=-1/m1[/tex]
[tex]m2=-1/(5/3)[/tex]
[tex]m2=-\frac{3}{5}[/tex]
therefore
the answer is
[tex]-\frac{3}{5}[/tex]