Answer:
x = 7 is not there in the domain of the function.
Step-by-step explanation:
The value of x = -3 would not be in the domain of the function
We have the following information available from the question is:
The function is :
[tex]f(x) =\frac{x-2}{x+3}[/tex]
Determine the values of x would not be in the domain of the function
Now, According to the question:
The function is :
[tex]f(x) =\frac{x-2}{x+3}[/tex]
Let the denominator equal to zero: x + 3 = 0
Rearrange unknown terms to the left side of the equation.
x + 3 = 0
x = -3
Hence, The value of x = -3 would not be in the domain of the function.
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Please help asap show work to
Answer:
[tex]{ \rm{V(x) = 4x {(10 - x)}^{2} }} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 2(10 - x))}} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 20 - 2x) }} \\ \\ { \rm{ \frac{dv}{dx} = 4(100 - 20x + {x}^{2} ) + ( - 80x - 8 {x}^{2} ) }} \\ \\ { \rm{ \frac{dv}{dx} = - 4 {x}^{2} - 160x + 400}}[/tex]
• But at maximum volume, dv/dx is 20 square inches.
[tex]{ \rm{ - 4 {x}^{2} - 160x + 400 =2 0}} \\ \\ { \rm{ {x}^{2} + 40x - 95 = 0}}[/tex]
• Using the quadratic formula:
[tex]{ \underline{ \rm{ \: \: x \approx3\: \: squares \: \: }}}[/tex]
• Therefore,
For maximum volume,
[tex]{ \rm{V(x) = 4x(10 - x) {}^{2} }} \\ \\ { \rm{V(3) = (4 \times 3)(10 - 3) {}^{2} }} \\ \\ { \rm{V(3) = 12 \times 49}} \\ \\ { \boxed{ \rm{V = 588 \: {in}^{3} }}}[/tex]
At midnight in Alaska, the temperature in Sitka is 29.7 degrees Fahrenheit.
Each hour after that the temperature decreases by 1.23 degrees until the sun comes up.
What is the temperature 2 hours after midnight?
Temperature
Level : JHSthe temperature in Sitka 2 hours after midnight is :
= 29.7°F + (2 × 1.23°F)
= 29.7°F + 2.46°F
= 32.16°F
So, the temperature in Sitka 2 hours after midnight is 32.16°F
#LearnWithEXO
Answer:
27.24° FStep-by-step explanation:
Initial temperature = 29.7° FDecrease rate = 1.23° F / hAfter 2 hours the temperature is:
29.7° F - 2*1.23° F = 27.24° FOnly 40% of people between the ages of 18 and 24 read a daily
newspaper. Write the percent as a fraction in simplest form.
Answer:
2/5
Step-by-step explanation:
40% = 40/100 = 4/10 = 2/5
Answer:
2/5
Step-by-step explanation:
40%/100% =2/5
you just take the 40% and divide with one hundred %
The domain is…
(type in interval notation)
the range is …
(type in interval notation)
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
x + y = 2
–5x - 5y = -10
Step-by-step explanation:
The usual thing to do is to try to get rid of one variable first. So to get rid of x, we multiply the first equation by 5.
5(x + y) = 2(5)
-5x - 5y = -10
---> 5x + 5y = 10
-5x - 5y = -10
---> 0 = 0
As you can see, everything cancels out. If the statement is true, then it is infinitely many solutions.
10,
17,24
Find the 46
th term.
if you practice a musical instrument each day for 2/3 of an hour how many hours of practice would you get in each week
Answer:
2/3 of an hour is 40 minutes so
40 x 7 = 280
You would practice that musical instrument 280 hours after a week
***hope this helps
Step-by-step explanation:
Answer:
14/3
Step-by-step explanation:
The equation for the circle below is 2 + y2 = 64. What is the length of the
circle's radius?
O A. 2
8 d
Ο Ο
B. 64
C. 8
O Ο Ο
D. 9
E-1
OF 25
what adds up to -38 but multiplies to -168
Answer:
-42 x 4
Step-by-step explanation:
it multiplies to -168 and adds up to -38
A bookstore is having a 30% off sale. What is the sale price for a hardcover book that normally retails for $28.99?
Answer:
.30times 28.99=$8.697
Help
Solve the inequality. Then, graph the solution set on a number line. (Show all your work)
that's what it's graph looks like.
Step-by-step explanation:
[tex] |2w + 8| \geqslant 15[/tex]
[tex] \implies \mathsf{2w + 8 \geqslant 15 \: }\\ \mathsf{or }\\ \mathsf{ \: 2w + 8 \leqslant - 15}[/tex]
(that's a property, if |x| >= a
=> x >= a or x <= -a)
[tex] \implies \mathsf{2w \geqslant 15 - 8\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant - 15 - 8}[/tex]
[tex]\implies \mathsf{2w \geqslant 7\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant -23}[/tex]
[tex]\implies \mathsf{w \geqslant \frac{7}{2} \: }\\ \mathsf{or }\\ \mathsf{ \: w \leqslant \frac{ - 23}{2} }[/tex]
Identify the situation that involves opposite quantities adding up to zero Climbing up 6 feet and climbing down 4 feet Hiking 10 feet due north, then hiking 10 feet due south Ascending 2 feet and descending 3 feet Earning $5 and spending $3
9514 1404 393
Answer:
(b) Hiking 10 feet due north, then hiking 10 feet due south
Step-by-step explanation:
Any pair of numbers that totals zero will be a pair of opposites. The offered choices are ...
+6 -4 = 2 . . . not zero
+10 -10 = 0
+2 -3 = -1 . . . not zero
+5 -3 = 2 . . . not zero
Hiking 10 feet due north, then hiking 10 feet due south is a situation involving opposite numbers adding up to zero.
There are 5 roses and 6 daisies in a vase.
Answer:
11 flowers
Step-by-step explanation:
Luis is buying a 65 inch TV that costs $650. He pays $100 down and will pay the rest in monthly payments over two years. What will his monthly payments be?
a tire plant makes 10 tires perm inute. If the tire plant runs for 10hours a day, how many days will it take to make 6 million tires?
Answer:
1,000 days
Step-by-step explanation:
6 tires per minute = 600 per hour
600 per hour times 10 hours = 6,000 per day
Divide 6,000,000 by 6,000 per day = 1000 days.
Solve each equation 5(-8+5k) +5k=-250
Answer:
k = 7
Step-by-step explanation:
-40+25k +5k = -250
30k = -250 + 40
k = -210/30
k = 7
An airport has an electronic system that randomly selects bags for extra security screening. Each bag has a 14% percent probability of being selected for extra screening, and one bag being selected or not doesn't affect whether or not another bag will be selected. Suppose that 222 bags go through the system, one after the other. What is the probability that both bags are selected for extra screening? Round your answer to two decimal places.
Probabilities are used to determine the chances of an event.
The probability that the two bags are selected for extra screening is 0.02
The given parameters are:
[tex]n = 2[/tex] --- number of bags
[tex]p = 14\%[/tex] --- the probability that a bag is selected for extra screening
The probability that the two bags are selected for extra screening is:
[tex]P(2) = p^n[/tex]
So, we have:
[tex]P(2) = (14\%)^2[/tex]
Express percentage as decimal
[tex]P(2) = (0.14)^2[/tex]
[tex]P(2) = 0.0196[/tex]
Approximate
[tex]P(2) = 0.02[/tex]
Hence, the required probability is 0.02
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Answer:
0.02 i did khan academy pls mark brainliest
Step-by-step explanation:
Nethra was ordering yarn from a discount website. If she ordered more than $50 worth of yarn labeled “discountable,” she could take an extra 10% from the price of that yarn. Only some of the yarn she ordered was eligible for the discount. Here is what Nethra ordered:
2 skeins at $2.50 per skein (not discountable)
8 skeins at $8.40 per skein (discountable)
7 skeins at $5.99 per skein (discountable)
Tax is 5% and shipping is 8%.
How much did Nethra pay for her yarn?
121.37
there thank me later
help solve the problem .
(Y^2+y)(3y^3-2y^3)=y^2(3y^3-2y^3)+y(3y^3-2y^3)is an example of:
Answer: It B the distributive property
:D
Explain how you can use the Distributive Property to find a product ?
Answer:
To distribute means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
What is the distributive property?Distributive property says that the sum of two or more addends multiplied by a number gives you the same answer as distributing the multiplier, multiplying each addend separately, and adding the products together.
According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
Example: Find the product using distributive property 6(42+35)
Now, 6(42+35)
= 6×42+6×35
= 252+210
= 462
Hence, the distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
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help me please!!!!!!!!!!
Answer:
Answer is B because I had this homework and I got it right :)
Polynomials
Multiply (x - 5)(3x – 2)
9514 1404 393
Answer:
3x² -17x +10
Step-by-step explanation:
Use the distributive property and collect terms.
(x -5)(3x -2) = x(3x -2) -5(3x -2)
= (3x² -2x) +(-15x +10)
= 3x² -17x +10
Rotate rectangle ABCD 90 degrees clockwise about the origin. What are the new coordinates?
Answer:
A=(-2,-2) B=(-2,-6) D=-5,-2 C=(-5,-6)
Step-by-step explanation:
Which two expressions each represent 4/20?A) 4⟌20 and 4 ÷ 20 Eliminate B) 4⟌20 and 20 ÷ 4 C) 20⟌4 and 20 ÷ 4 D) 20⟌4 and 4 ÷ 20
Answer:
D
Step-by-step explanation:
Recall that a⟌b means b/a. So, we want to find the expression: 20⟌4 and 4 ÷ 20. By examining, we see that D has those two expressions.
So, the answer is [tex]\boxed{D}[/tex] and we're done!
Answer:
Answer:
D
Step-by-step explanation:
Recall that a⟌b means b/a. So, we want to find the expression: 20⟌4 and 4 ÷ 20. By examining, we see that D has those two expressions.
So, the answer is and we're done!
What is the product (7 10)*(5 x 108)? Be sure to express your
answer in scientific notation.
?
(7* 10^-5) * (5 x 10^-8) = ? * 10
DONE
[tex](7 \times 10) \times (5 \times 108) \\ 70 \times 540 \\ = 37800 \: or \: 3.78 \times 10 {}^{4} [/tex]
Solved ✔︎please help me with this sum
answer:
3,204/4 = 801
5,656/8 = 707
2,736/9 = 304
4,224/6 = 704
7,256/8 = 907
5,424/6 = 904
3,515/5 = 703
After two semesters of course work, a student has completed 32 credit hours of course work with a grade point average of 3.15. What grade point average will the
student need to complete in order to raise their cumulative grade point average to 3.2, if the student is taking 14 credit hours of graded course work this semester
(third semester)?
Using weighed average, it is found that the student will need a GPA of 3.31.
To find a weighed average, each value is multiplied by it's weight.
For the student's average, we have that:
GPA of 3.15 with a weight of 32.GPA of x with a weight of 14.We want the mean to be 3.2, thus:
[tex]\frac{3.15(32) + 14x}{32 + 14} = 3.2[/tex]
[tex]3.15(32) + 14x = 46(3.2)[/tex]
[tex]14x = 46(3.2) - 32(3.15)[/tex]
[tex]14x = 46.4[/tex]
[tex]x = \frac{46.4}{14}[/tex]
[tex]x = 3.31[/tex]
The student will need a GPA of 3.31.
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If you are at - 15 on the number line and you wanted to move toward the positive integers, which direction along the number
line would you need to move?
Answer:
To the right
Step-by-step explanation:
The negatives on a number line are on the left side and the positives on the right.
see this as an example:
The number line that you really want to move is the right side. Then, at that point, the right choice is C.
What is a number line?A number line alludes to a straight line in science that has numbers organized at customary stretches or divides along its width. A number line is frequently shown on a level plane and can be delayed toward any path.
On the off chance that you are at - 15 on the number line and you needed to push toward the positive numbers
The number line that you need to move in the right side. Then the correct option is C.
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I've attached an image of the problem(s).
Answer: B
Step-by-step explanation: