The correct answer is: 2x^2+2x+7
find the numbers preceding and succeeding the following number.... B0B base 12 ?
Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the curve
y=8-x^2 Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the curve
y=8-x^2
The given curve is a quadratic function and to find the area of a rectangle under it with maximum area, we consider the rectangle's base as an interval on x-axis and find the maximum value using calculus. The maximum area is achieved when x is sqrt(8/3).
Explanation:To find the largest possible area for a rectangle with its base on the x-axis and upper vertices on the curve y=8-x^2, we would use calculus, specifically optimization.
Consider the base of the rectangle as the interval [-x, x] along the x-axis. Hence, the width of the rectangle would be 2x and the height would be the value of the curve at any x, which is 8-x^2.
Therefore, the area A of the rectangle can be expressed as A = (2x)*(8-x^2) = 16x - 2x^3.
To maximize the area, we take the derivative of A with respect to x, set it equal to zero and solve for x. The derivative is A' = 16 - 6x^2. Setting this to 0, we get 6x^2 = 16 or x = √(8/3).
Substituting x = √(8/3) back into the original equation y = 8 - x^2 will give the maximum height of the rectangle, and hence its maximum area.
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what is the name of a number that can be written in the form a/b where a and b are integers and b cannot equal zero
if g(x)= 5-x^2 what's g(g(x))
Given this triangle find angle B to the nearest tenth of a degree if b=8 and c=12.
How many combinations are there of the five letters j, k, l, m, and n using three letters at a time?
Answer:
5 n C r 3 = 10 がんばってね
Step-by-step explanation:
がんばってね= Do your best
49x^2-28x+4=0 find the roots of thr equation by factoring
Answer:
2/1
Step-by-step explanation:
Jalil mixed 3/8 cup of sugar with 11/6 cups of water. How many more cups of water than sugar did he use in his mixture
Answer:
[tex]1\frac{11}{24}[/tex] cup more water than sugar
Step-by-step explanation:
Jalil mixed the number of cups of sugar = [tex]\frac{3}{8}[/tex]
with the number of cups of water = [tex]\frac{11}{6}[/tex]
We have to find the additional amount of water that is used in his mixture.
So we will subtract the amount of sugar from the amount of water.
[tex]\frac{11}{6}[/tex] - [tex]\frac{3}{8}[/tex]
= [tex]\frac{44-9}{24}[/tex]
= [tex]\frac{35}{24}[/tex]
= [tex]1\frac{11}{24}[/tex] cup
[tex]1\frac{11}{24}[/tex] cup more water is used in this mixture.
What linear function can be represented by the set of ordered pairs?
{(−4, 15), (0, 5), (4, −5), (8, −15)}
I've completed the test:
Final answer:
The linear function represented by the set of ordered pairs is y = -5x + 15.
Explanation:
A linear function can be represented by the set of ordered pairs {(−4, 15), (0, 5), (4, −5), (8, −15)}. To determine the linear function, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we can choose any two ordered pairs to find the slope, which is the change in y divided by the change in x. Let's choose (-4, 15) and (4, -5). The slope (m) can be calculated as (y2 - y1)/(x2 - x1).Substitute the slope (m) and one of the ordered pairs into the equation y = mx + b to find the y-intercept (b). We'll use (4, -5) as our point.Finally, substitute the calculated slope (m) and y-intercept (b) values into the equation y = mx + b to obtain the linear function.Therefore, the linear function represented by the given set of ordered pairs is y = -5x + 15.
In a translation, why is it important for every point to move the same direction and same distance?
If b = 3, then 3x + y = 1 and bx - y = 3 are parallel.
True or
False ...?
Answer:I am absolutely sure that the task b = 3, then 3x + y = 1 and bx - y = 3 is NOT parallel, which means that the statement represented above is FALSE.
To make sure you can check it using : Hope now it's obvious. Regards!
Step-by-step explanation:
Which expression is equivalent to 4√32·√2 ?
16
42√42
162√162
32
Answer:
Yep, it's 32
Step-by-step explanation:
A local department store had a Saturday special. It offered an additional 25% discount on shirts that were already marked down 50%. How much did Megan pay for a shirt that originally sold for $40?
A. $10
B. $15
C. $20
D. $30
The least common multiple of 20, 24, and 45 is _____.
a) 30
b) 180
c) 360
d) 21,600
Answer:
c)360
Step-by-step explanation:
The least common multiples is the smallest common multiple.
To find the common multiple you have to divide the option given by the numbers: 20, 24, and 45 and result of each operation should be an integer number.
Let's review why answers a) and b) are not common multiple.
Answer a) 30
45 ÷ 30= 1,5 .
1.5 is not integer number ,So, 30 is not multiple of 45.
Answer b)180
180 ÷ 24= 7.5
7.5 is not integer number, So, 180 is not multiple of 24.
c) If you divide 20, 24 and 45 divided 360, the result is an integer.
360÷20=18
360÷24=15
360÷45=8
360 is common multiple of the three numbers. And it is the LCM.
A biologist took a count of the number of fish in a particular lake, and recounted the lake’s population of fish on each of the next six weeks.
Find a quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 8.
P(x) = 13x^2 – 10x + 350; 917 fish
P(x) = 13x^2 – 10x + 350; 1,102 fish
P(x) = 18x^2 + 10x + 300; 1,252 fish
P(x) = 18x^2 + 10x + 300; 1,532 fish
Answer:
P(x) = 13x2 – 10x + 350; 1,102 fish
Step-by-step explanation:
Plug in week 8 for x.
[tex]P(x) = 13 * (8)^{2} - 10(8) - 350 =[/tex]
[tex]P(x) = 13 * 64 - 80 + 350 =\\\\ P(x) = 832 - 80 + 350 = 1102[/tex]
17=3(g+3)-g.
I also need the math
If a = b, then ac = bc. This is called the ________ ________ of equality. (2 words)
If a and b are parallel lines and m <3 = 128º, what is the measure of <8?
A) 134º
B) 54º
C) 52º
D) 49º
Image Bellow :-)! thanks in advance! =]
Given the information that angle 3 is 128 degrees and lines a and b are parallel, angle 8 would also be 128 degrees. But none of the provided options matches 128 degrees, implying missing or incorrect information in the question.
Explanation:In geometry, if lines are parallel, the corresponding angles are equal. Given that a and b are parallel lines and angle 3 is 128°, if angle 8 corresponds to angle 3, angle 8 would also be 128°. However, the possible values provided don't include 128°. Therefore, there seems to be insufficient information or a mistake in the question to give a definite answer. All possible answers: A) 134º, B) 54º, C) 52º, D) 49º - don't match with 128º. Perhaps there's an intermediary step or piece of information missing.
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in 2015, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year. At this rate, what would be the population in 2040? Round the the nearest whole number. Enter your answer in the box.
the answer is 12495, its correct jus took the test. (now u can give the brainliset to the other person) have a nice day :)
Write the scientific notation in numerals.
5.82 x 102
The absolute value of a number is always greater than its opposite. Is this true?
A) No; the absolute value of a negative number is equal to its opposite.
B) No; all negative numbers are greater than their opposites.
The absolute value of a positive number and its opposite is always equal. So the given statement is not true.
Absolute value represents the distance of a point from the origin. The distance of a positive number and its opposite will always be the same from the origin. Consider the following example:
The number is 5. The absolute value of 5 is | 5 | = 5
The opposite of 5 is -5. The absolute value of -5 is |-5| = 5
This shows the absolute value of a number and its opposite will always be equal. For any positive number x, we can write:
| x | = | -x | = x
So, the correct answer is:
A) No; the absolute value of a negative number is equal to its opposite.
All of the following are equivalent except _____.
4 · y
4 + y
4y
(4)(y)
Harold bought two loaves of raisin bread to share with his friends. If there are 12 people total, including Harold, how much bread does each person have? A. 0.06 B. 0.16 THE 6 keeps going
The required fraction of bread that each person have is 0.16. Option C is correct.
Given that,
Harold bought two loaves of raisin bread to share with his friends. If there are 12 people total, including Harold, how much bread each person have is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Total number of loaves of bread = 2
Total number of people = 12
bread, each person can have = 2 / 12 = 0.16
Thus, the required fraction of bread that each person have is 0.16. Option C is correct.
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Multiply and reduce to lowest terms? 1. 2 1/7 * 4 3/8 = user: 10 1/4 - 9 5/6 =
The ____ ____ of equality allows you to divide both sides of an equation by the same number.
The scientific notation 2 ��� 10^2 has what value? 100
Which type of triangle will always have exactly 1-fold reflectional symmetry?
76 is what percent of 95
Which of the following represents the set of possible rational roots for the polynomial shown below?
2x³+5x²-8x-10=0
a. {±2/5, ±1/2, ±1, ±2, ±2/5, ±1/5, ±1/10}
b. {±1/2, ±1, ±2, ±5/2, ±5, ±10}
c. {±1, ±2, ±4, ±5, ±10, ±20}
d. {1/2, 1, 2, 5/2, 4, 5, 10, 20} ...?
Answer:
Option b is correct
Step-by-step explanation:
Given the polynomial
[tex]2x^3+5x^2-8x-10=0[/tex]
we have to find the set of possible rational roots for the polynomial.
Rational root theorem states that if P(x) has any rational roots then they must be of form
[tex]\pm{\frac{\text{Factor of }a_0}{\text{factors of }a_n}[/tex]
Here [tex]P(x)=2x^3+5x^2-8x-10[/tex]
Factors of 10=1, 2, 5, 10
Factors of 2=1, 2
Possible rational roots are
[tex]\{\pm1, \pm\frac{1}{2}, \pm2, \pm\frac{5}{1}, \pm\frac{5}{2}, \pm 10\}[/tex]
Option b is correct
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f(x) = x3 + 4 and g(x) = Cube root of quantity x minus four.