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Tom [10]
3 years ago
5

Can someone help me and tell me the steps plzz​

Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

A

Step-by-step explanation:

f(x) = 7x² - 15x + 2

A) f(1) = 7*1² - 15*1 +2 = - 6

f(1.5) = 7*(1.5)² -15*1.5 + 2 = - 4.75

B) f(2.2) = 7*(2.2)²-15*(2.2)+2 = 2.28

C) f(1) = 7*1² - 15*1 +2 = - 6

f(1) = 7*2² - 15*2 +2 = 0

D) not for all real numbers because we already have

f(2.2) = 7*(2.2)²-15*(2.2)+2 = 2.28 that is positive.

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Sketch the graph of y =sine3x​
IgorLugansk [536]

The graph of \mathbf{y=\sin{3x}} is given by,

Here given the function is y=\sin{3x}

when x=0\Rightarrow y=\sin{3\times 0}=\sin0=0, then it passes through the origin (0,0).

When x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1

Since we know that, -1\leq\sin{x}\leq1,\forall x, then the function has maximum height at x=\frac{\pi}{6}.

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8 0
1 year ago
A circle with circumference 20 has an arc with 72 degree central angle what is length of the arc
Debora [2.8K]

Answer:

<h2>4</h2>

Step-by-step explanation:

<em>Look at the picture.</em>

<em />

<em>At the beginning we have to calculate what part of the angle 360° is the given angle 75°.</em>

<em />\dfrac{75}{360}=75:360=0.2<em />

<em>The same part of the circumference of the circle is the arc defined by this central angle.</em>

The circumference <em>C = 20</em>.

Therefore

x=0.2\cdot20=4

4 0
2 years ago
A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. the length of the deck
anzhelika [568]

Alright, lets get started.

Suppose the original deck size: width = x feet

the width is one-fourth the length given in question means length = 4 x feet

Means the originally area = x * 4 x = 4 x^{2}

Now the dimensions are changed.

New dimensions, width = (x + 6)

new length = (4x+10)

So, new area will be = (x+6) * (4x+10) = 4x^{2} + 10 x + 24 x + 60 = 4x^{2} + 34 x + 60

the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means

4x^{2} + 128= 4x^{2} + 34 x + 60

Subtracting 4x^{2} from both sides

128 = 34 x + 60

Subtracting 60 from both sides

128 - 60 = 34 x + 60 - 60

68 = 34  x

Dividing 34 in both sides

\frac{68}{34}  = \frac{34 x }{34}

x = 2

Means width = 2 feet

Length would be = 4 time width = 4 * 2 = 8 feet

Means dimension of original deck would be = 2 feet and 8 feet :Answer

Hope it will help :)

8 0
3 years ago
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