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2 years ago

Can someone solve this question

Mathematics

1 answer:

Fittoniya [83]2 years ago

4 0

The equation will be
$y = - \frac{8}{7} x + \frac{60}{7}$

good luck

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A sinusoidal function whose period is 1/2, maximum value is 10, and minimum value is -4, has a y-intercept of 3. What is the equ

nikdorinn [45]

Period of sin wave = 1/2
Period of parent sine function is 2π.

This means the x value of sine function (sin(x)) has to be divided by 4π to get a period of 1/2 because 2π/4π = 1/2

Thus, our function will be of the form: $sin( \frac{x}{4 \pi })$

Maximum Value = 10
Minimum Value = -4

Amplitude of the function = (Maximum Value - Minimum Value)/2
So, amplitude of the function is 7

Thus, the function will be of the form:

$7sin( \frac{x}{4 \pi } )$

The function has a y-intercept other than zero, this means the function will be of the form:

$y=7sin( \frac{x}{4 \pi } )+k$

The y-intercept is 3. This means for x=0, y=3. Using the values, we get:

$3=7sin(0)+k \\ \\ 
3=k$

Thus the equation of the sinusoidal function becomes:

$y=7sin( \frac{x}{4 \pi } )+3$

6 0

3 years ago

What is the sign of s^67/t^9 when s < 0 and t > 0?

Sphinxa [80]

Answer:

negative

Step-by-step explanation:

The sign of a product or quotient cannot be determined by the positive number (t), so we can ignore it. The sign of the expression will be negative if and only if there are an odd number of negative factors.

Here, there are 67 (an odd number) negative factors, so the expression will be negative.

4 0

1 year ago

Read 2 more answers

Three poultry farms B1, B2, and B3 supply chicken eggs to the same local market. The market performs some quality testing on the

ipn [44]

Answer:

a. 0.58

b. 0.78

Step-by-step explanation:

a. The probability of egg come from B1 or B2

P(B1) = 3000/10000 = 0.3

P(B2) = 4000/10000 = 0.4

P(P1 ∪ B2) = 0.3 + 0.4 -(0.3)(0.4)

P(P1 ∪ B2) = 0.7 - 0.12

P(P1 ∪ B2) = 0.58

b. The probability that the market received an egg that is acceptable

P(received an egg that is acceptable) = P(B1 acceptable) + P(B2 acceptable) + P(B3 acceptable)

P(received an egg that is acceptable) = 0.80*3000 + 0.90*4000 + 0.60*3000 / 10000

P(received an egg that is acceptable) = 2400 + 3600 + 1800 / 10000

P(received an egg that is acceptable) = 7800 / 10000

P(received an egg that is acceptable) = 0.78

4 0

3 years ago

6-√8 divide √2-1

agasfer [191]

Answer:

4 $\sqrt{2}$ +2

Step-by-step explanation:

$\frac{6-\sqrt{8}}{\sqrt{2}-1}$

= $\frac{6-\sqrt{8}}{\sqrt{2}-1}$ × $\frac{\sqrt{2}+1}{\sqrt{2}+1}$

= $\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}$

=6 $\sqrt{2}$ + 6 - $\sqrt{8}\sqrt{2}$ - $\sqrt{8}$

=6 $\sqrt{2}$ + 6 - 4 - $\sqrt{8}$

=6 $\sqrt{2}$ + 2 - $\sqrt{8}$

=6 $\sqrt{2}$ + 2 - 2

=4 $\sqrt{2}$ +2

for $\sqrt{8}$ = 2 $\sqrt{2}$ ,

$\sqrt{8}$ = $\sqrt{2*2*2}$

= ( $\sqrt{2}$ )^2 × $\sqrt{2}$

=2 × $\sqrt{2}$

5 0

3 years ago

The path of a roller coaster over a particular length of track can be represented by a quadratic function f, where f(x) represen

alexgriva [62]

The roller coaster could be represented by the function for Choice D.

If you were to graph this function, you would find that the zeros (x-intercepts) of the function are at the points of -2 and 1. Those are the needed points in the problem.

Since this is a parabola that opens upward, the parabola must be below the axis (or support bar) between those values.

8 0

3 years ago