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2 years ago

WILL MARK BRAINLEST IF CORRECT HELP ME OUT

Mathematics

1 answer:

sveta [45]2 years ago

6 0

Answer:

x = 12

Step-by-step explanation:

Equation: 0.52(x) + 0.72(4) = 0.57(x + 4)

0.52(x) + 0.72(4) = 0.57(x + 4) $\longmapsto$ Multiply

0.52x + 2.88 = 0.57x + 2.28 $\longmapsto$ Subtract 0.52x from both sides

2.88 = 0.05x + 2.28 $\longmapsto$ Subtract 2.28 from both sides

0.6 = 0.05x $\longmapsto$ Divide all sides by 0.05

x = 12

-Chetan K

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A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between

fomenos

Answer:

0.41 (correct to 2 decimal place)

Step-by-step explanation:

If $B(t)=4.0+0.35sin\frac{2\pi t }{5.4}$

Let $u=\frac{2\pi t }{5.4}$ , then $B(u)=4.0+0.35sin u$

We want to determine the rate of increase $\frac{dB}{dt}$ after one day

$du=\frac{2\pi dt }{5.4}$ and $\frac{dB}{du} =0.35cos u$

$\frac{dB}{dt}=\frac{2\pi }{5.4}0.35cos (\frac{2\pi t }{5.4})=0.407cos (\frac{2\pi t }{5.4})$

$B^{'} (t)=0.407cos (\frac{2\pi t }{5.4})$

Rate of increase after one day, i.e. t=1

$B^{'} (1)=0.407cos (\frac{2\pi X 1 }{5.4})$ = 0.407 =0.41 (correct to 2 decimal place)

5 0

3 years ago

Describe the steps you would take to sketch the graph p(x)=2x^(3)+7x^(2)-3x-18

mojhsa [17]

Answer:

When we have a given function, y = f(x), the general way of graphing the function is finding a lot of coordinate pairs (x, f(x)) and graphing them in a coordinate axis, and then connect them.

So here we have:

p(x) = 2x^(3)+7x^(2)-3x-18

Just let's find the value of p(x) for different values of x, and let's do it.

p(0) = 2*0^(3)+7*0^(2)-3*0-18 = -18

Then the point (0, -18) belongs to the graph

p(1) = 2*1^(3)+7*1^(2)-3*1-18 = 2 + 7 - 3 - 18 = -12

then the point (1, - 12) belongs to the graph.

p(-1) = 2*(-1)^(3)+7*(-1)^(2)-3*(-1)-18 = -2 + 7 + 3 - 18 = -10

then the point (-1, -10) belongs to the graph:

p(2) = 2*2^(3)+7*2^(2)-3*2-18 = 16 + 28 - 6 - 18 = 20

Then the point (2, 20) belongs to the graph

p(-2) = 2*(-2)^(3)+7*(-2)^(2)-3*(-2)-18 = -16 + 28 + 6 - 18 = 0

Then the point (-2, 0) belongs to the graph.

p(-3) = 2*(-3)^(3)+7*(-3)^(2)-3*(-3)-18 = -54 + 63 + 9 - 18 = 0

Then the point (-3, 0) belongs to the graph.

Now that we have 6 points we can graph them and try to connect them.

We also know that this is a cubic polynomial, so we can expect that it changes its direction two times (no more than that) then knowing that we can estimate a shape for the graph, and you will obtain something like the graph of the image below, where I just connected the known points.