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faltersainse [42]

3 years ago

13

Find the next number in the pattern

1 answer:

aalyn [17]3 years ago

5 0

Step-by-step explanation:

The first pattern is add 3 so the next number is 20

The second pattern is multiply by 2 so the next number is 96

The third pattern is the first digit you add 1 then 2 then 3 then 4 then 5 then 6 so the answer is 25

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Which statement is true about the discontinuities of the function f(x) = x-5/3x^2-17x-28

o-na [289]

1) function f(x)

              x - 5
f(x) = ----------------
          3x^2 - 17x - 28

2) factor the denominator:

3x^2 - 17x - 28 = (3x + 4)(x - 7)

                        x - 5
=> f(x) = -----------------------
                (3x + 4) (x - 7)

3) Find the limits when x → - 4/3 and when x → 7

Lim of f(x) when x → - 4/3 = +/- ∞

=> vertical assymptote x = - 4/3

Lim of f(x) when x → 7 = +/- ∞

=> vertical assymptote x = 7

Answer: there are assympotes at x = 7 and x = - 4/3

6 0

3 years ago

Read 2 more answers

Given: ABCD ~ AEFG<br> Find x.<br><br> A) 4<br><br> B) 8<br><br> C) 9<br><br> D) 10

gayaneshka [121]

Answer:

B

Step-by-step explanation:

find CD which is 4

x/4=6/3

x=2×4

x=8

5 0

2 years ago

If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

<u><em>Final answer</em></u>:-

$\frac{dy}{dt} = 34( 3 ) = 102$

8 0

3 years ago

Last year 80 students signed up for a summer trip to Washington, DC. This summer 50 students have signed up to go. What is the p

erastovalidia [21]

50/80 = 0.625

100 - 0.625 = 0.375

0.375 = 37.5% (move the decimal point to the right 2 spaces)

37.5% decrease is your answer

hope this helps

8 0

3 years ago

Read 2 more answers

Len [333]

Answer:

Ques 1) 1440°

Ques 2) 4000

Ques 3) 33

Step-by-step explanation:

Ques 1)

The sum of the measures of the angles in degrees of a polygon with 'n' sides is given by: 180×(n - 2).

Now we have to find the sum of the measures the angles of a polygon with 10 sides.

i.e. n=10

Hence the value of the expression 180×(n-2) when n=10 is given by:

180×(10-2)=180×8=1440.

Hence, the sum of measure of the angles of a polygon with 10 sides is: 1440°.

Ques 2)

The Expression 500v gives the number of points a player earns for completing v voyages in video game.

We are asked to find the number of points earned for completing 8 voyages.

i.e. v=8 the value of 500v will be 500×8=4000.

Hence, 4000 points are earned for completing 8 voyages.

Ques 3)

we have to find the value of the question as given in the figure:

7x+y+16 for x=2 and y=3.

Hence, we find the value of the expression:

7×2+3+16=33.

Hence, the value of the expression is 33.

8 0

2 years ago