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Cloud [144]
3 years ago
15

Not sure how to do this.

Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

Answer:

-4 ≤ x ≤ -2, 4 ≤ x ≤ 7

Step-by-step explanation:

A function shows the relationship between two or more variables. A function is said to be constant over an interval if its output value is same for every input value within that interval.

As seen in the question, the x variable is the input while the y variable is the output. The function is constant from x = -4 to x = -2. Also, the function is constant within the interval from x = 4 to x = 7. Hence, the interval is:

-4 ≤ x ≤ -2, 4 ≤ x ≤ 7

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Given that x and y vary inversely and that y is 8 when x is 2, what is the constant of variation, k?
Shtirlitz [24]

Answer:

16

Step-by-step explanation:

the equation is x = k / y

therefore k = x* y

k = 2*8

k= 16

4 0
3 years ago
Susan's weekly earnings were proportional to the number of hours she worked. This table shows the number of hours Susan worked a
oksano4ka [1.4K]

Answer: your answer is 19.00$

4 0
3 years ago
1. Graph the function f(x)=4cos(x). (Be sure to label your x-axis.)
Mekhanik [1.2K]

ANSWER

To graph the function


y=4cos(x) we need to plot some few points within one period. Since the interval is not given, we shall use [0,2 \pi]'


\left \begin{array}{cc}x&y=4cos(x)\\0 &4\\\frac{\pi}{2}&0 \\ \pi&-4\\\frac{3\pi}{2} &0\\2\pi&4\end{array}\right.


We plot the above points to obtain the graph as shown in the attachment.



6 0
4 years ago
From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the
Marizza181 [45]

Answer:

328 feet

Step-by-step explanation:

From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)

Step 1

Note that

that 11°50' is just 11 degrees and 50 minutes

60 minutes = 1 degree,

thus 50 minutes = x degree

50/60 degrees

= 0.83°

Hence: 11°50' = 11.83°.

Step 2

We solve using Trigonometric function of tan

tan theta = Opposite/Adjacent

theta = 11.83°

Adjacent = 1568 feet

Opposite = Height of the cliff = x

tan 11.83° = x/1568

Cross Multiply

x = tan 11.83 × 1568

x = 328.429195 feet

Approximately = 328 feet

The height of the cliff is 328 feet

8 0
3 years ago
Gibson Instruments is planning to produce and market a new line of guitars. The current market price for similar guitars is $1,2
m_a_m_a [10]
We are given the current market price that is <span>$1,200 and we are asked in the problem to compute the target cost if one wishes to gain a 30% profit. In this case, we have to minimize the cost to achieve the profit desired. Then,

1.3 y = 1200
where y is the target cost
y = $923.08
</span>
5 0
3 years ago
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