Mathematics College

please help ill mark brainliest

Answers

Answer 1

Answer:

Pretty sure it is SAS as the angles are congruent

Step-by-step explanation:

Answer 2

Answer:

number 4

Step-by-step explanation:

both triangles use the aa as a point

Related Questions

Consider the following function.
f(x) = 1 + 5/x - 4/x2
(a) Find the vertical asymptote(s).
(b) Find the interval where the function is increasing.
Find the interval where the function is decreasing.
(c) Find the local maximum and minimum values.
(d) Find the interval where the function is concave up.
Find the interval where the function is concave down.
Find the inflection point.
(e) Use the information from parts (a)-(d) to sketch the graph of f.

Answers

Answer:

See below

Step-by-step explanation:

I assume the function is [tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]

A) The vertical asymptotes are located where the denominator is equal to 0. Therefore, [tex]x=0[/tex] is the only vertical asymptote.

B) Set the first derivative equal to 0 and solve:

[tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]

[tex]f'(x)=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]

[tex]0=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]

[tex]0=-5x+8[/tex]

[tex]5x=8[/tex]

[tex]x=\frac{8}{5}[/tex]

Now we test where the function is increasing and decreasing on each side. I will use 2 and 1 to test this:

[tex]f'(2)=-\frac{5}{2^2}+\frac{8}{2^3}=-\frac{5}{4}+\frac{8}{8}=-\frac{5}{4}+1=-\frac{1}{4}[/tex]

[tex]f'(1)=-\frac{5}{1^2}+\frac{8}{1^3}=-\frac{5}{1}+\frac{8}{1}=-5+8=3[/tex]

Therefore, the function increases on the interval [tex](0,\frac{8}{5})[/tex] and decreases on the interval [tex](-\infty,0),(\frac{8}{5},\infty)[/tex].

C) Since we determined that the slope is 0 when [tex]x=\frac{8}{5}[/tex] from the first derivative, plugging it into the original function tells us where the extrema are. Therefore, [tex]f(\frac{8}{5})=1+\frac{5}{\frac{8}{5}}-\frac{4}{\frac{8}{5}^2 }=\frac{41}{16}[/tex], meaning there's an extreme at the point [tex](\frac{8}{5},\frac{41}{16})[/tex], but is it a maximum or minimum? To answer that, we will plug in [tex]x=\frac{8}{5}[/tex] into the second derivative which is [tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]. If [tex]f''(x)>0[/tex], then it's a minimum. If [tex]f''(x)<0[/tex], then it's a maximum. If [tex]f''(x)=0[/tex], the test fails. So, [tex]f''(\frac{8}{5})=\frac{10}{\frac{8}{5}^3}-\frac{24}{\frac{8}{5}^4}=-\frac{625}{512}<0[/tex], which means [tex](\frac{8}{5},\frac{41}{16})[/tex] is a local maximum.

D) Now set the second derivative equal to 0 and solve:

[tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]

[tex]0=\frac{10}{x^3}-\frac{24}{x^4}[/tex]

[tex]0=10x-24[/tex]

[tex]-10x=-24[/tex]

[tex]x=\frac{24}{10}[/tex]

[tex]x=\frac{12}{5}[/tex]

We then test where [tex]f''(x)[/tex] is negative or positive by plugging in test values. I will use -1 and 3 to test this:

[tex]f''(-1)=\frac{10}{(-1)^3}-\frac{24}{(-1)^4}=-34<0[/tex], so the function is concave down on the interval [tex](-\infty,0)\cup(0,\frac{12}{5})[/tex]

[tex]f''(3)=\frac{10}{3^3}-\frac{24}{3^4}=\frac{2}{27}>0[/tex], so the function is concave up on the interval [tex](\frac{12}{5},\infty)[/tex]

The inflection point is where concavity changes, which can be determined by plugging in [tex]x=\frac{12}{5}[/tex] into the original function, which would be [tex]f(\frac{12}{5})=1+\frac{5}{\frac{12}{5}}+\frac{4}{\frac{12}{5}^2 }=\frac{43}{18}[/tex], or [tex](\frac{12}{5},\frac{43}{18})[/tex].

E) See attached graph

square root of the quantity x minus 3 end quantity plus 5 equals x

Answers

Answer:

x =1 if understood it correctly

Step-by-step explanation:

Which equation is modeled on the number line below?

Answers

Answer:

Step-by-step explanation:

You have two increments of -5, so you know that 2 x -5 = -10. You know it is negative 10 because it is going to the left.

Hope this helps!

Are 3:5and 1:2 equivalent

Answers

Answer:

No. They are not equivalent.

Step-by-step explanation:

[tex]\frac{3}{5} \neq \frac{1}{2}[/tex]

=> [tex]\frac{6}{10} \neq \frac{5}{10}[/tex]

Therefore, 3/5 and 1/2 are not equivalent.

Hoped this helped.

Answer:

yes

Step-by-step explanation:

they are equivalent

4. Prove or disprove the following statement: Given two numbers, increasing both numbers by 10% results in two numbers whose difference is the same as the difference of the two original numbers. Give a numerical example and explain.

Answers

Step-by-step explanation:

increase by 10% is the same as multiplying by 1.1.

so, we get the assumption that

x - y = 1.1x - 1.1y = 1.1(x - y)

for the case that x <> y, now we can divide both sides by (x - y) and get

1 = 1.1

and that is wrong in all cases.

so, it is disproven for all x <> y.

for x = y the statement is true, the difference is in both cases 0.

e.g.

100 and 200

the difference is 100

100+10% = 110

200+10% = 220

and the difference is 110 (different to the original 100).

but 100 and 100, sure, the difference is 0, and the difference between 110 and 110 is still 0.

adding a % to a number means the size of the added part depends on the size of the basic number. the same % of a larger number is larger than the same % of a smaller number. therefore, the distance grows.

Suppose that in a certain state, all automobile license plates have four letters of the 26 English alphabet letters followed by three digits from 0,1,2,3,4,5,6,7,8,9. For example, WCRY-122. How many license plates are possible that begins with A and ends with 1 with NO repetition

Answers

Answer:

[tex]993,\!600[/tex].

Step-by-step explanation:

There is one way to choose the first character (has to be an [tex]\verb!A![/tex].)

There is one way to choose the last character (has to be a [tex]\verb!1![/tex].)

Since repetition among the letters is not allowed and the letter [tex]\verb!A![/tex] was already reserved for the first character, there would be [tex](26 - 1) = 25[/tex] English alphabet letters available for the second character.

Likewise, with the first and second characters chosen, the third character could be chosen from [tex](26 - 2) = 24[/tex] letters. There would be [tex](26 - 3) = 23[/tex] choices for the fourth letter.

Repetition of the digits is not allowed, either. With the digit [tex]\verb!1![/tex] already reserved for the last character, there would be [tex](10 - 1) = 9[/tex] ways to choose the fifth character (a digit.) There would then be [tex](10 - 2) = 8[/tex] ways to choose the sixth character (also a digit.)

Overall, the number of unique combinations would be:

[tex]\begin{aligned}& 1 \times 1 \times (25 \times 24 \times 23) \times (9 \times 8) \\ =& \; 993,\!600 \end{aligned}[/tex].

2. Kiant is having a sale on ketchup. All
ketchup is 70% of its original
price. You want to buy Meinz' ketchup with an original price of $8.90.
What is the sale price?

Answers

Answer: $2.67

Step-by-step explanation:

$8.90 - $6.23 = $2.67

Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch by virtue of the factor 2

Reflection over the x-axis by virtue of the factor -1

The transformations which must be applied to function F to produce the graph of function g are vertical stretch and reflection over the x-axis.

To transform the function f(x)=12ˣ into the function g(x)=−2(12)ˣ

Since g(x) is multiplied by -2 compared to f(x), this represents a vertical compression.

The absolute value of the multiplier indicates the degree of compression/stretch.

The negative sign in front of 2(12)ˣ in g(x) reflects the graph over the x-axis. This means that the graph of g(x) is reflected below the x-axis compared to f(x).

Hence, vertical stretch and reflection over the x-axis are the transformations which must be applied to function F to produce the graph of function g.

To learn more on Graph transformation click here:

https://brainly.com/question/28025572

#SPJ3

Solve the equation for the variable 49-2/3x=32-1/6x

Answers

Answer:

No Solutions

Step-by-step explanation:

I believe it's no solutions. 47/3x can never equal 31/6x. Even if you try to cross multiply it (282x = 9x), you'll see that x must equal to 0.

Therefore, x has no solutions.

Answer:

Can you give the answers please but i think it is 49-2/3 32-1/6 the answer is 27.5

Step-by-step explanation:

Keri has some ball bearings. Each one is in the shape of a sphere with a radius of 6 mm.
(a) Find the volume of one ball bearing. Give your answer in mm3 in terms of pi

Answers

What kind of balls??

If the ratio y/x is the same for all related pairs of x and y, what does that mean about the relationship between x and y?

Answers

Answer:

The the relationship is linear

Step-by-step explanation:

If y/x is same for all pairs of x and y, slope is a constant value that is not changed by value of x or y. Hence, it is linear function.

7x+6-2x=12x-7+2

Solve for x

Answers

Yes, all three are correct

-355 - 165 = - (355+165) = -520

Answer:

Step-by-step explanation:

Answer:

7a + 6

Step-by-step explanation:

Expand the brackets and then collect like terms. 4a + 3a = 7a

Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year.

Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)

Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)

Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points)

Answers

There would be 173,535 lionfish after 6 years.

Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:

A) 8000 x 1.67 ^ n = f B) 8000 x 1.67 ^ 6 = X 8000 x 21.691961596369 = X 173,535.692770952 = X C) (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f

Therefore, there would be 173,535 lionfish after 6 years.

Learn more about maths in https://brainly.com/question/25851847

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Think about the structure of your legislature and its similarities and differences with Article I of the Constitution. In two to three sentences, explain how your legislature separates powers and creates checks and balances.HELP ME PLS Theresa is buying a condo that costs $127,500. She has $8,300 in savings and earns $3,200 a month. Theresa would like to spend no more than 20% of her income on her mortgage payment. Which loan option would you recommend to Theresa? a. 30 year fixed, 6. 5% down at a fixed rate of 5% b. 30 year FHA, 3. 5% down at a fixed rate of 6. 5% c. 30 year fixed, 5% down at a fixed rate of 6. 25% d. 30 year fixed, 10% down at a fixed rate of 5. 75%. How did changes in our history affect and influence the themes and forms of our literature? schermo di visualizzazione principale per pubblicit esterna leddisplayco.it Which phrase describes most of the delegates to the Second Continental Congress?religious, working class, not well-knownself-educated, hardworking, ordinaryfilled with common sense, middle class, respectedformally educated, wealthy, prominent A runner ran 1 4/5 miles on Monday and 6 3/10 on Tuesday. How many times her Monday's distance was her Tuesday's distance? Please help me I need an answer that makes sense PLS HELP What is the diameter of a plate with circumference of 25 cm.? what number is the square root of 13 between A 2 and 3B 5 and 6C 4 and 5D 3 and 4 how many minutes of music does the average person listen to in a year how does tybalt react to seeing romeo at the party The follow through is where you "pause" and hold the bow still for a few seconds after releasing the arrow.True or false All of the following duties are responsibilities of county government officials except __________. what is the northernmost capital city in the continental u.s.? How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest! What is the definition of hyperextended?stretched above the normal limits held under a machinestretched thoroughly before exerciseheld while stretching How do you round 104,000 to the nearest 100,000 my Christmas present to you 5. A quarter is tossed in the air 300 times.About how many times would you expect the quarter to land on heads?A 50E 200B 110C 150D 180 A B (Personal Response/s) (My Family Member's Response/s) My favorite subject is... Dep The relevant/ important lessons that I learned from the subject are... This lesson is relevant because... Given a chance, I will share this lesson to... A forest covers 54,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How manyacres of old-growth trees are there?

please help ill mark brainliest​

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please help ill mark brainliest