Answer:
8x^2 - 25x +7
Step-by-step explanation:
Substitute the polynomials in
A^2 - (B+C)
(3x-4)^2 - (x+7+x^2+2), simplify the equation
Using foil method, (9x^2-24x+16) - (x+7+x^2+2)
(9x^2-24x+16)-(x^2+x+9), distribute the minus/negative sign to the second parenthesis
(9x^2-24x+16) - x^2-x-9, combine like terms
8x^2 - 25x +7
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.
Answer:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
Step-by-step explanation:
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
Solving the equation
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.
Answer:
A and C
Step-by-step explanation:
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill. I did the test and got 100 percent
solve[tex]x^2-8x-9=0[/tex] algebraically
Answer:
x=9 x=-1
Step-by-step explanation:
We can factor
x^2 -8x-9 =0
What 2 numbers multiply to -9 and add to -8
-9*1 = -9
-9 +1 = -8
(x-9) (x+1) =0
Using the zero product property
x-9 =0 x+1 =0
x=9 x=-1
Which of the following situations can be defined using an exponential function?
A)The value of the stocks decreased by $100 last year.
B)The number of bacteria increases by 700 each hours.
C)The value of the stocks increases by $10 every year you own them.
D)The number of bacteria decreases by 7% each hour.
Answer:
D) The number of bacteria decreases by 7% each hour.
Step-by-step explanation:
Exponential functions describe situations where values do not increase at a linear or constant rate. Adding or subtracting every year or hour will result in a linear function, so A, B, and C are incorrect.
Option (D) The number of bacteria decreases by 7% each hour is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where 'a' is a constant and a>1
As we know, the exponential function increases rapidly according to the exponent.
It is not a linear function, and it never gives a negative value if the value of a>0
As the no other information was given.
Thus, option (D) The number of bacteria decreases by 7% each hour is correct.
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if f(x)= x-3/x , g(x)=x+3 , and h(x)=2x+1 , what is (g*h*f)(x) ?
A: 3x-6/x
B: 6x-6/x
C: 2x+4/2x+7
D: 4x-3/x
Answer:
Option B is correct
Step-by-step explanation:
We need to find g(h(f(x))
We first find h(f(x))
f(x) = x-3/x
Putting value of f(x) in place of x in h(x)
h(x) = 2x+1
h(f(x)) = 2(x-3/x) + 1
= 2(x-3/x) + 1
= 2x -6 /x +1
= 2x-6 +x/x
= 3x-6/x
Now, putting value of h(f(x)) in g(x)
g(x) = x+3
g(h(f(x)))= (3x-6/x) + 3
= 3x-6/x + 3
= 3x-6+3x/x
= 6x-6/x
So, Option B is correct.
so yeah. . .. idk how to do this
Please use for reference. Merci.
To find rate of change simply divide y/x.
hour 2: 56/2=28
hour 4: 125/4~about 31.3 or 31
hour 5: 164/5=32.8 or ~ 33
hour 8: 271/8 ~ about 34 or 33.875
hour 13: 404/13 ~ about 31 or 31.0769231
What numbers are the largest?
hours 5 and 8
Thus, the correct answer was option C.
Trenton is building a skateboarding ramp in the shape of a triangular prism. According to his plan, the ramp would have a base of 2 feet, a height of 1.5 feet, and a length of 3 feet. The riding surface would measure 2.5 feet. If Trenton wants to cover all faces of the ramp with plywood, how much plywood will he need to buy?
Answer:
The answer is 21 square feet of plywood.
Step-by-step explanation:
Answer:
Trenton needs 21 square feet of plywood to cover all the surface of the ramp.Step-by-step explanation:
Givens
Base is 2 feet long.Height is 1.5 feet long.Length is 3 feet long.The riding surface is 2.5 feet long.Notice that the ramp is formed by two triangles and three rectangles.
Each triangle has a base of 2 feet and a height of 1.5 feet. So, the area of each triangle is
[tex]A_{triangle}=\frac{bh}{2}=\frac{2(1.5)}{2}=1.5ft^{2}[/tex]
The base of the ramp has dimensions of 3 feet x 2 feet. Its are is
[tex]A_{base}=3(2)=6ft^{2}[/tex]
The back of the ram has an area of
[tex]A_{back}=1.5(3)=4.5 ft^{2}[/tex]
The riding surface is
[tex]A_{riding}=3(2.5)= 7.5ft^{2}[/tex]
So, basically, to know the total surface, we just have to sum the are of both triangles, and the area of all three rectangles, as follows
[tex]S=1.5+1.5+6+4.5+7.5=21ft^{2}[/tex]
This means that Trenton needs 21 square feet of plywood to cover all the surface of the ramp.
A region with a 7-mile radius has a population density of about 2200 people per square mile. Find the number of people who live in the region to the nearest ten thousand.
Answer:
[tex]340,000\ people[/tex]
Step-by-step explanation:
step 1
Find the area of the circular region
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=7\ mi[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(7)^{2}[/tex]
[tex]A=153.86\ mi^{2}[/tex]
step 2
Find the number of people who live in the region
Multiply the area by the density
so
[tex]A=153.86*(2,200)=338,492\ people[/tex]
Round to the nearest ten thousand
[tex]338,492=340,000\ people[/tex]
The number of people who live in the region to the nearest ten thousand is 340,000.
What is the number of people living in the region?Population density is the amount of organisms that live in a square feet of an area.
Population density x area = population
Area = πr²
3.14 x 7² = 153.86 m²
Population = 153.86 x 2200 = 340,000
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match them together to correct answer
ANSWER
Frequency=2
Midline =3
Amplitude =5
Period =π
EXPLANATION
We have:
[tex]f(x) = 5 \cos(x) + 3[/tex]
The given function is of the form;
[tex]f(x) = a\cos(bx) + c[/tex]
where
a=|5| =5 is the amplitude
and b=2 is the frequency.
and 2π/b=2π/2=π
The range of the given function is
8≤y≤-2
The midline is
[tex] \frac{8 + - 2}{2} = \frac{6}{2} = 3[/tex]
Answer:
1. y = 3 - b. Midline
2. 2 - a. Frequency
3. 5 - c. Amplitude
4. π - d. Period
Step-by-step explanation:
We know that the standard cosine equation is in the form:
[tex] f(x) = a\cos(bx)+c [/tex]
where [tex] a [/tex] = amplitude,
[tex] b [/tex] = frequency,
[tex] c [/tex] = midline.
Therefore, for the given cosine equation:
Amplitude = 5,
Frequency = 2,
Midline = y = 3
Period = π
What is the area of a triangle with base 18 meters and height
6 meters?
Answer:
27 meters
Step-by-step explanation:
a=1/2bh
a=1/2(18)(6)
a=27
Solve the following equation. Then place the correct number in the box provided. 5x/8 +10= 2
Answer: [tex]x=-12.8[/tex]
Step-by-step explanation:
Given the equation [tex]\frac{5x}{8}+10=2[/tex], you need to solve for "x":
Apply the Subtraction property of equality and subtract 10 from both sides of the equation:
[tex]\frac{5x}{8}+10-10=2-10[/tex]
[tex]\frac{5x}{8}=-8[/tex]
Apply the Multiplication property of equality and multiply both sides of the equation by 8:
[tex](\frac{5x}{8})(8)=-8(8)[/tex]
[tex]5x=-64[/tex]
Apply the Division property of equality and divide both sides of the equation by 5:
[tex]\frac{5x}{5}=\frac{-64}{5}[/tex]
[tex]x=-12.8[/tex]
How does a natural monopoly function?
A: imperfect competition makes it difficult for firms to do business.
B: a few firms are in perfect competition.
C: the government supplies all buyers with the product
D: a single firm supplies all the output.
Answer:
D: a single firm supplies all the output.
Step-by-step explanation:
A natural monopoly runs most efficiently when one large firm supplies all of the output.
A natural monopoly occurs when the most efficient number of firms in the industry is one. As the name suggests, monopoly means single. We can also say that it is a market structure characterized by a single seller, selling a unique product in the market.
A natural monopoly functions by having a single firm supply all output in a specific market, typically due to economies of scale. This usually occurs in markets where having multiple firms would be inefficient and costly, such as utilities. Government usually regulates these to protect consumers.
Explanation:A natural monopoly functions in a manner where a single firm supplies all the output in a particular market. This is typically because this single firm can produce the total output in the market at a lower cost compared to several firms due to economies of scale. For example, in the utilities industry (like water or electricity), it would be highly inefficient and costly to have multiple firms deliver these services. Therefore, a single firm, or a 'natural monopoly', can provide these services at a lower cost.
The government often regulates natural monopolies to prevent abuse of monopoly power. This is done to ensure fair prices and adequate supply to consumers.
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In a drawer you have 8 black socks and 5 yellow socks , if you pick out a sock what is the probability that pick out a black sock
13/8
fraction
I think cause you nees to add all of the socks together and put how many socks was black
Hello there!
Answer:
8/13
Step-by-step explanation:
In order to find the probability in questions like this, we would need to find the number that we want to get and the total amount of possibilities.
Important information in the text:
8 black socks5 yellow socksWith the information, we can find the probability.
In the question, we are trying to find the probability of picking out a black sock, and there is 8 black socks. The 8 will go on our numerator.
Our denominator would be the total amount of things that leads to our probability. Since we only have 8 black socks and 5 yellow socks, we would add 8 + 5 to get the total amount of socks.
8 + 5 = 13
The 13 will go in the denominator.
When you put all of the stuff together, you should get 8/13. You can't simplify it because 13 is an odd number that can't get any smaller.
8/13 is the probability of picking out a black sock
Which number line represents the solution set for the inWhich number line represents the solution set for the inequality –x ≥ 4?equality –x ≥ 4?
Final answer:
The solution set for the inequality –x ≥ 4 is x ≤ – 4, which includes all numbers less than or equal to – 4. This would be represented on a number line with a solid dot at – 4 and shading to the left.
Explanation:
The question pertains to solving the inequality –x ≥ 4 and representing the solution on a number line. To solve for x, we first multiply both sides by – 1, remembering to reverse the inequality sign since multiplying or dividing by a negative number reverses the inequality:
–x ≥ 4
( – 1)( –x) ≤ ( – 1)(4)
x ≤ – 4
This means that x is less than or equal to – 4. On the number line, the solution set for x includes all numbers to the left of – 4, including – 4 itself. To represent this graphically, one would draw a solid dot at – 4 and shade all the region to the left of – 4, indicating all those numbers are included in the solution set.
A storage room measuress 48 inches by 60 inches. What is the total area, in square feet, of the closet?
Multiply the two numbers.
48*60=2880 inches
I think this is the way to answer this question.
David and Rob each got the same-size pack of crackers. David
ate 3/6 of his crackers. Rob ate 3/4 of his crackers. Who ate more of
his crackers? Compare the fractions using a symbol.
Show your work.
Answer: Rob ate more crackers.
Symbol answer: 6/12 < 9/12
Step-by-Step explanation:
Common knowledge: Anytime you have the same numerator, with a different denominator, the one with the bigger denominator is always smaller. For example, if had a pizza with 6 slices and a pizza with 4 slices, the one with 6 slices and smaller and the one with 4 slices and bigger. Even though 6>4 that mindset has to change when thinking about a problem like this.
Another explanation:
If you still don’t get it, simply find a common denominator, so we’ll choose 12. Take 3/6 and multiply that by 2/2 so you get 6/12 and then take 3/4 and multiply that by 3/3 on both the (numerator and denominator) and that equals 9/12.
So now you have the expression: 6/12<9/12.
Multiple Choice | Apex | Pre-Cal
what is the maximum number of possible solutions for the system shown below?
3x^2+y^2=64
x^2+y=10
A. 1
B. 2
C. 3
D. 4
The answer is D. because when you solve the equation by combining expressions and isolating the variable, both equations have 2 solutions-
Answer:
D
Step-by-step explanation:
The area of a trapezoid is 48 square inches. If the bases of the trapezoid are 9 inches and 15 inches, what is the height? 2 in. 1 in. 8 in. 4 in.
Answer:
Option D 4 inches is correct.
Step-by-step explanation:
Area of trapezoid = 48 square inches
Base a = 9
Base b = 15
We need to find the height h.
The formula for area of trapezoid is
Area = (a+b)/2 * h
Putting the values, we get
48 = ( 9+15)/2 * h
48 = (24)/2 * h
48 = 12 *h
=> h = 48/12
h = 4 inches
So, Option D 4 inches is correct.
Answer:
4 in.
Step-by-step explanation:
The area of a trapezium is calculated using the formula:
[tex]Area=\frac{1}{2}(Sum\:of\:the\:bases)\times height[/tex]
The given tra-pezoid has area [tex]48[/tex] square inches.
The bases are given as 9 inches and 15 inches.
We plug in the known values into the formula to get;
[tex]48=\frac{1}{2}(9+15)\times height[/tex]
[tex]48=\frac{1}{2}(24)\times height[/tex]
[tex]48=12\times height[/tex]
Divide both sides by 12.
[tex]\frac{48}{12}=height[/tex]
[tex]4 in.=height[/tex]
Therefore the height of the trapezoid is 2 inches.
Can someone please help with 2a, 2b, 2c, 2d, and 2e
Answer:
2a. If chagalti is being served, then you will have to use a tsibue.
2b. If you are using a tsibue, then chagalti is being served.
2c. If chagalti is not being served, then you dont have to use a tsibue.
2d. If you dont have to use a tsibue, then chagalti isnt being served.
2e. The converse must also be true because if you have to use a tsibue while eating chagalti, then when you arent eating chagalti, you dont need to use a tsibue.
Hope this helps!
On the day of the field trip, each teacher must call the parents of any student who has not returned a permission slip. All of Mr. Gomez’s students returned their permission slips, so he did not have to make any calls. Mrs. Hooper and Mr. Anderson had to call a total of eight parents. Mrs. Hooper needed to call two more students than Mr. Anderson which set of equations correctly describes the phone calls made
h=mrs hooper
a=mr anderson
A. H+A=8 ; H=A+2
B. H+A=8 ; A=H+2
C. H+A=2 ; H=A+8
D. H+A=2 ; A=H+8
Answer:
B
Step-by-step explanation:
B is the correct answer. Since Mrs. Hooper and Mr. Anderson had to call a total of 8 parents, you know the first equation must be either A or B (H + A = 8).
Since you know that Mrs. Hooper had to call 2 more parents than Mr. Anderson, the equation will have to have H + 2 on one side; that's how you know the correct answer is B.
The set of equations which correctly describes the phone calls made is A. H + A = 8 ; H = A + 2.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
H denote the number of calls Mrs. Hooper made and A denote the number of calls Mr. Anderson made.
Mrs. Hooper and Mr. Anderson had to call a total of eight parents.
So, the equation representing this is, H + A = 8
Mrs. Hooper needed to call two more students than Mr. Anderson.
H = A + 2
So the set of equations are,
H + A = 8 ; H = A + 2
Hence the correct option is A. H + A = 8 ; H = A + 2
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what does it mean when the correlation coefficient has a positive value?
Answer:
A
Step-by-step explanation:
means that as the value of one variable increases, the value of the other variable increases; as one decreases the other decreases.
A bag contains five white marbles and five black marbles. What is the probability of drawing a WHITE marble, NOT replacing it, and then drawing another WHITE marble?
The probability is 1:2
Answer:
4/18
Step-by-step explanation:
You have 5 WHITE marbles and 5 Black marbles.
The probability of drawing a WHITE marble is 5/10 or 1/2
And the probability of drawing the second (marble another WHITE marble) is 4/9
So 1/2 x 4/9 = 4/18 or 5/10 x 4/9 = 20/90 / 5 = 4/18
Therefore the probability of drawing a WHITE marble not replacing it then drawing another WHITE marble is 4/18
PLEASE last one to graduate!!
Answer:
[tex]y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})[/tex]
Step-by-step explanation:
The graph of the cosine function can be obtained by shifting the sine function to the left by [tex]\frac{\pi}{2}[/tex] units.
The given cosine function is:
[tex]y=4\cos(\frac{3}{2}x+\frac{\pi}{6})[/tex]
When we shift this function to the left by [tex]\frac{\pi}{2}[/tex] units, we obtain a sine function
[tex]y=4\sin(\frac{3}{2}x+\frac{\pi}{6}+\frac{\pi}{2})[/tex]
[tex]y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})[/tex]
These two functions have the same graph
The second option is correct.
What is the solution of -3x -12>3
Answer: x<5
How?
-3x-12>3
(Add 12 to both sides)
-3x>15
(Divide -3 by 15)
x<5
(Remeber to flip the signs since you are dividing by a negative.)
PLEASE HELP ME!!!!!!!!!!!!!!!!
A. 6y^2 - 13y + 6
Use the FOIL method of multiplying binomials.
First monomial in each binomial: 2y * 3y = 6y^2
Outside monomials: 2y * -2 = -4y
Inside monomials: -3 * 3y = -9y
Last monomial in each binomial: -3 * -2 = 6
Finally, add everything together. 6y^2 - 4y - 9y + 6
Simplify to 6y^2 - 13y + 6
Answer:
A
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
(2y - 3)(3y - 2)
= 2y(3y - 2) - 3(3y - 2) ← distribute both parenthesis
= 6y² - 4y - 9y + 6 ← collect like terms
= 6y² - 13y + 6 → A
Kayla’s work to find the surface area of a composite solid formed when a rectangular prism and rectangular pyramid are joined at their bases is shown below.
SA = 2 [(5)(7)] + 2 [(6)(7)] + 2 {tex]\frac{1}{2}[/tex(5)(9.3)] + 2 [[tex]\frac{1}{2}[/tex(6)(9.2)] = 255.7
Answer:
The surface area of the composite figure is [tex]285.7\ units^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the composite figure is equal to the lateral area of the rectangular prism plus the area of the base of rectangular prism plus the lateral area of the pyramid
[tex]SA=2(5+6)(7)+(5)(6)+2[\frac{1}{2}(6)(9.2)] +2[\frac{1}{2}(5)(9.3)]\\ \\SA=154+30+55.2+46.5\\ \\SA=285.7\ units^{2}[/tex]
Karla in her work does not consider the area of the base of the rectangular prism.
Answer:
B-She left out one of faces of the solid. She should have simplified
Step-by-step explanation:
the dude before me is wrong i got 100%
help a brother out find me on ticktock and gramy - yrkjncl
Chris is checking to determine if the expressions 2(x+3) and 2 x+4+2x are equivalent. When x=1 , he correctly finds both expressions have a value of 8. When x=2, he correctly evaluates the first expression to find that 2(x+3)=10
Final answer:
The expressions 2(x+3) and 2x+4+2x are not equivalent.
Explanation:
To determine if the expressions 2(x+3) and 2x+4+2x are equivalent, we can simplify them and compare the results. Let's simplify each expression when x=1:
2(x+3) = 2(1+3) = 2(4) = 8
2x+4+2x = 2(1)+4+2(1) = 2+4+2 = 8
Both expressions evaluate to 8 when x=1, so they are equivalent. Now, let's evaluate the first expression when x=2:
2(x+3) = 2(2+3) = 2(5) = 10
The first expression evaluates to 10 when x=2, which is different from the value of 8 obtained from the second expression. Therefore, the expressions 2(x+3) and 2x+4+2x are not equivalent.
if the tax rate is 6% ,find the tax on a 429.95 television to the nearest cent
Answer:
25.80
Step-by-step explanation:
The tax is equal to the original price times the tax rate
tax = 429.95 * 6%
Change to decimal form
429.95 *.06
25.797
Rounding to the nearest cent
25.80
The tax is 25.80
there are 2 green marble, 4 blue marbles, 1 red marble, and 8 yellow marbles in a bag. once a marble is drawn, it is not replaced. find the probability of the outcome.
1. two yellow marbles in a row
2. a blue marble then a green marble
Answer:
1.
Step-by-step explanation:
1. There will be 4 rows of 2 because 8 divided by 2 is 4
2. 1 blue, 1 green, 1 blue, 1 green, 1 blue, 1 blue
This problem is not true, because to make it a pattern it would have to be 2 green marbles and 3 blue marbles.
Hope this helps
Please tell me if I got anything wrong.
Answer:
4/105
Step-by-step explanation:
just took the test
(2x+5y-z)+(-6x-4y+7z)
Answer:
-4x + y + 6z
Step-by-step explanation:
2x + 5y - z + (-6x - 4y + 7z) < distribute positive 1 to (-6x - 4y + 7z)
2x + 5y - z - 6x - 4y + 7z < combine like terms to get the answer
2x - 6x = -4x
5y - 4y = y
-z + 7z = 6z
our new expression is:
-4x + y + 6z we cannot simplify this any further, so this is our answer
15 of the students in a English class passed a English test. If these students are 75% of all the students in the class, how many students are in this English class? Round your answer to the nearest whole number if necessary
Answer:
Part 1) [tex]20\ students[/tex]
Part 2) [tex]95\%[/tex]
Part 3) [tex]9\ games[/tex]
Step-by-step explanation:
Part 1) Using proportion
[tex]\frac{15}{75\%}=\frac{x}{100\%}\\ \\x=15*100/75\\ \\x=20\ students[/tex]
Part 2) Using proportion
[tex]\frac{40}{100\%}=\frac38}{x\%}\\ \\x=100*38/40\\ \\x=95\%[/tex]
Part 3) Using proportion
[tex]\frac{18}{100\%}=\frac{x}{50\%}\\ \\x=18*50/100\\ \\x=9\ games[/tex]
Answer:
what he said
Step-by-step explanation: