-3/5×(2/9×10/7)
what's the answer ​

f(x) = 4x

g(x) =

[tex] \sqrt{x^{2} \: - \: 1 } [/tex]

h(x) =

[tex] \sqrt{16x \: - \: 1} [/tex]

We want to check if h(x) = g(f(x))

So g(f(x)) =

[tex] \sqrt{(4x) {}^{2} - \: 1} [/tex]

Simplified;

g(f(x)) =

[tex] \sqrt{16x {}^{2} \: - \: 1 } [/tex]

But h(x) =

[tex] \sqrt{16x \: - \: 1} [/tex]

Hence g(f(x)) is not equal to h(x)

Answer:

$4, 15 x 2=30

      2 x 2=4

Answer:

4 dollars

Step-by-step explanation:

We can write a ratio to solve

15 stickers       30 stickers

----------------- = -------------

2 dollars           x stickers

Using cross products

15x = 2*30

15x = 60

Divide by 15

15x/15 = 60/15

x = 4

the answer would be

A. 53-53i !! :)

it was also the correct answer on the test ,, goodluck !!

Answer = B. -17 -53i

Answer:

x=4.47213

I hope it's helps you

Well this could be incredibly easy, by just saying [tex]m=0[/tex] and [tex]n=-3x[/tex].

This is a completely valid case but nevertheless seems too easy. The requirements are probably that n and m are integers or natural numbers but since that was not specified such probable requirement ought not to be followed.

Hope this helps :)

Answer:

[tex]\sup(S) = 3[/tex].

[tex]\displaystyle \inf(S) = \frac{1}{3}[/tex].

Step-by-step explanation:

When factored, [tex]3\,x^{2} - 10\, x + 3[/tex] is equivalent to [tex](3\, x - 1)\, (x - 3)[/tex].

[tex]3\, x^{2} - 10\, x + 3 < 0[/tex] whenever [tex]\displaystyle x \in \left(\frac{1}{3},\, 3\right)[/tex].

Typically, the supremum and infimum of open intervals are the two endpoints. In this question, [tex]\sup(S) = 3[/tex] whereas [tex]\displaystyle \inf(S) = \frac{1}{3}[/tex].

Below is a proof of the claim that [tex]\sup(S) = 3[/tex]. The proof for [tex]\displaystyle \inf(S) = \frac{1}{3}[/tex] is similar.

In simple words, the supremum of a set is the smallest upper bound of that set. (An upper bound of a set is greater than any element of the set.)

It is easy to see that [tex]3[/tex] is an upper bound of [tex]S[/tex]:

To see that [tex]3[/tex] is the smallest upper bound of [tex]S[/tex], assume by contradiction that there exists some [tex]\epsilon > 0[/tex] for which [tex](3 - \epsilon)[/tex] (which is smaller than [tex]3\![/tex]) is also an upper bound of [tex]S\![/tex].

The next step is to show that [tex](3 - \epsilon)[/tex] could not be a lower bound of [tex]S[/tex].

There are two situations to consider:

Either way, it would be necessary to find (or construct) an element [tex]z[/tex] of [tex]S[/tex] such that [tex]z > 3 - \epsilon[/tex].

For the first situation, it would be necessary that [tex]\displaystyle 3 - \epsilon \le \frac{1}{3}[/tex], such that [tex]\displaystyle \epsilon \ge \frac{8}{3}[/tex]. Let [tex]z := 1[/tex] (or any other number between [tex](1/3)[/tex] and [tex]3[/tex].)

With the first situation [tex]\displaystyle \epsilon \ge \frac{8}{3}[/tex] accounted for, the second situation may assume that [tex]\displaystyle 0 < \epsilon < \frac{8}{3}[/tex].

Claim that  [tex]\displaystyle z:= \left(3 - \frac{\epsilon}{2}\right)[/tex] (which is strictly greater than [tex](3 - \epsilon)[/tex]) is also an element of [tex]S[/tex].

Either way, [tex](3 - \epsilon)[/tex] would not be an upper bound of [tex]S[/tex]. Contradiction.

Hence, [tex]3[/tex] is indeed the smallest upper bound of [tex]S[/tex]. By definition, [tex]\sup(S) = 3[/tex].

The proof for [tex]\displaystyle \inf(S) = \frac{1}{3}[/tex] is similar and is omitted because of the character limit.

Answer:

C. $1.73

Step-by-step explanation:

$5.03

$3.30

---------

$1.73

Answer:

yes

Step-by-step explanation:

x = 1, y = 0

so,

-5×1 + 7×0 = -5

-5 + 0 = -5

-5 = -5

true, therefore (1, 0) is a solution (a point on the graph) of the equation.

I am not sure what the other pair should be.

Step-by-step explanation:

compound inequality: a statement formed by two.......

intersection: elements that are in both set A and B

union: elements that are in either set A or B

Answer:

D

Step-by-step explanation:

6(x + 8) =                 Plug in x with 4

6(4 + 8) =

6(12) =

72

Answer:

D. On sale at 60% of the original price

Step-by-step explanation:

That just means they are taking off 40% off the original price.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

Inequality

2x > 14

Solution

x > 7

Step-by-step explanation:

Twice of a number = 2x or 2 * x

Is more than 14 = > 14

Put these 2 descriptions together

2x > 14

Then divide each side by the coefficient

2x / 2 = x > 14 / 2 = x > 7

Answer:

2x > 14

Any number above 7.

Step-by-step explanation:

"Twice a number (x) is more than 14." can be written as 2x > 14.

Breakdown:

2x > 14 for Twice a number (x) is more than 14.

2x > 14 for Twice a number (x) is more than 14.

2x > 14 for Twice a number (x) is more than 14.

The solution to the inequality is any number above 7.

Answer:

keyboard and mouse are two examples of input device

Answer:

keyboard and mouse

Step-by-step explanation:

If you like my answer than please mark me brainliest

answer:

(a).

Equation of circle is x² + y² - 25 = 0

(b).

(-5, 0) » yes

(√7, 1) » no

(-3, √21) » no

(0, 7) » no

Step-by-step explanation:

(a).

If centred at origin, centre is (0, 0)

General equation of circle:

[tex]{ \boxed{ \bf{ {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}}}[/tex]

but g and f are 0:

[tex] {x}^{2} + {y}^{2} + c = 0 \\ but : \\ c = {g}^{2} + {f}^{2} - {r}^{2} \\ c = { - 25} [/tex]

After setting [tex]u=\sqrt{1+e^{2x}}[/tex], partially solving for x in terms of u gives

[tex]u = sqrt{1+e^{2x}} \implies u^2 = 1 + e^{2x} \implies e^{2x} = u^2 - 1[/tex]

Then taking differentials, you get

[tex]2 e^{2x} \,\mathrm dx = 2u \, \mathrm du \implies \mathrm dx = \dfrac{u}{u^2-1}\,\mathrm du[/tex]

Replacing everything in the original integral then gives

[tex]\displaystyle \int \frac9{\sqrt{1+e^{2x}}}\,\mathrm dx = \int \frac9u \times \frac u{u^2-1}\,\mathrm du = 9 \int \frac{\mathrm du}{u^2-1}[/tex]

Split up the integrand into partial fractions:

[tex]\dfrac1{u^2-1} = \dfrac a{u-1} + \dfrac b{u+1} \\\\ 1 = a(u+1) + b(u-1) = (a+b)u + a-b \\\\ \implies \begin{cases}a+b=0\\a-b=1\end{cases} \implies a=\dfrac12,b=-\dfrac12[/tex]

so that

[tex]\displaystyle 9 \int \frac{\mathrm du}{u^2-1} = \frac92 \int \left(\frac1{u-1} - \frac1{u+1}\right) \,\mathrm du \\\\ = \frac92 \left(\ln|u-1| - \ln|u+1|\right) + C \\\\ = \frac92 \ln\left|\frac{u-1}{u+1}\right| + C \\\\ = \frac92 \ln\left(\frac{\sqrt{1+e^{2x}}-1}{\sqrt{1+e^{2x}}+1}\right) + C[/tex]

====================================================

Explanation:

Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.

We then use the pythagorean theorem to find the length of the hypotenuse MT.

a^2 + b^2 = c^2

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

c^2 = 676

c = sqrt(676)

c = 26

Segment MT is 26 cm long.

This applies to the other diagonal AH as well.

Answer:

A Rectangle

Step-by-step explanation:

A longitudinal section means that the plane slicing the cylinder is vertical, just as a latitudinal section means that the slice is horizontal.

When you think about it, a flat slice of a cylinder in the vertical direction is a rectangle.

If the cylinder is sliced along the length of the cylinder then the shape we get is a rectangle. Then the correct option is B.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

If you were to take a longitudinal section from a long cylinder.

Then the shape we get will be

If the cylinder is sliced along the length of the cylinder then the shape we get is a rectangle.

More about the cylinder link is given below.

https://brainly.com/question/3692256

Answer:

P) = 1/2 jawbreaker

simplified P) 3/6 = 1/2 jawbreaker

Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.

as 2/6 + 1/3 = 3/6

1 - 3/6 = 3/6

= 1/2    are the workings.

Step-by-step explanation:

Jelly bean = 1/3 = 2/6

Gumdrop = 1/6

2/6 + 1/6 = 3/6 = the difference of 1

1-3/6 = 3/6

Therefore; P) = 3/6 jawbreaker

Answer:

m∠AKD = 46°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Measure of <AKG = 133°

So,

<AKG = <AKD + <DKG (As both together combine to form one <AKG as shown)

=> 133° = <AKD + 87°

=> <AKD = 133° - 87°

=> <AKD = 46° (Ans)

Answer:

[tex]y = - \frac{1}{2} x + \frac{5}{2 } \\ y = \: x ( - \frac{1}{2}) + \frac{5}{2} \\ y = - \frac{6}{2} x \\ y = - 3x \\ \frac{y}{3} = x[/tex]

Answer:

x=5

JK = 40 units

Step-by-step explanation:

JM=MK since the have the little red line which shows they are equal

7x+5 = 8x

Subtract 7x from each side

7x+5 -7x= 8x-7x

5 = x

JK = 7x+5 = 7(5)+5 = 35+5 = 40

Answer: 0.0623

Step-by-step explanation:

The probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.

It is given that multiple choice test contains 25 questions with 5 answer choices.

To find probability of correctly answering.

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

Given that:

The probability of each correct answer is  [tex]p_{s}[/tex][tex]=\frac{1}{5}[/tex]

The probability of 8 successful answers in 25 independent trials for a binomial probability distribution is:

p(k|n)=[tex]\frac{n!}{(n-k)!*n!}[/tex][tex]p_{s}^{k} (1-p_{s})^{n-k} \\[/tex]

p(8|25)=[tex]\frac{25!}{(25-8)!*8!}[/tex][tex]{\frac{1}{5} }^{k} (1-1/5)^{25-8} \\[/tex]

p(8|25)=0.062348

So, the probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.

Learn more about probability here:

https://brainly.com/question/24385262

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Answer:

So for the sequence to work, the 5,3=18 would have to be changed to 5,3=23 in which it now fits and works to solve for x which is 4. There was a pattern of the numbers 4 and 5 that surfaced as the difference between each pairings sum total. The difference between each sum was alternating between the numbers 4 and 5, which equal 9 when added together. Which also helped me to form a chart of sorts that makes sense. My answer is typed above, that is the most stable conclusion that I could come to to make sense of the pairings that were listed.

Answer: A (if i have well corrected)

Step-by-step explanation:

[tex]f(x)=(x-6)(x^2+8x+16)\ i\ suppose)\\\\f(x)=(x-6)(x+4)^2\\Sol=\{6;-4\}\\Answer \ A[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The x-coordinate is the same in each pair of points, so the line segment will be a vertical line segment 3 units long.

Answer:

between 15.5 and 16

Step-by-step explanation:

which std

Answer:

$123,200

Step-by-step explanation:

0.06 x 2 = 0.12

140,000 x 0.12 = 16,800

140,000 - 16,800 = 123,200

The original buyer paid the amount of $123,200 for the property.

The percentage is defined as a ratio expressed as a fraction of 100.

The property appreciated by 6% per year, so in two years it would have appreciated by 6% × 2 years = 12%.

Once we know the total appreciation, we can subtract that value from 100% to find the original purchase price as a percentage of the final sale price.

If the property appreciated by 12%, then the original purchase price must have been 100% - 12% = 88% of the final sale price.

Now, multiply the final sale price by the original purchase price as a percentage to find the original purchase price.

So, the original buyer paid the amount = 88% × $140,000 = $123,200

Therefore, the original purchase price was $123,200.

Learn more about the percentages here:

brainly.com/question/24159063

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