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alexdok [17]
3 years ago
6

If​ f(x) is defined as​ follows,

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Answer:  The required values are

f(-2) = 120, f(0) = 64  and  f(1) = 84.

Step-by-step explanation:  We are given the following function f(x) :

f(x)=16x^2+4x+64~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the values of the following :

(a)~f(-2),\\\\(b)~f(0),\\\\(c)~f(1).

To find the values of the function at the given points, we need to substitute the corresponding values of x in equation (i).

Substituting x = -2 in equation (i), we get

f(-2)=16\times(-2)^2+4\times(-2)+64=64-8+64=120.

Substituting x = 0 in equation (i), we get

f(0)=16\times0^2+4\times0+64=0+0+64=64.

Substituting x = 1 in equation (i), we get

f(1)=16\times1^2+4\times1+64=16+4+64=84.

Thus, the required values are

f(-2) = 120, f(0) = 64  and  f(1) = 84.

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Answer:  16cm

Step-by-step explanation:

l = 4w

2l + 2w = p

2(4w) + 2w = 40

8w + 2w = 40

10w = 40

w = 4 cm

l = 4w = 4(4) = 16cm

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2 years ago
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3 years ago
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Answer:

<em>The answer is Hence Proved</em>

Step-by-step explanation:

       Given that CB║ED ,  CB ≅ ED

       To prove Δ CBF ≅ Δ EDF

  •       CB ≅ ED   ( Given )

        This means that the length of CB is equal to ED

        As CB║ED The following conditions satisfies when a transversal cut

        two parallel lines

  •    ∠ EDF = ∠ FBC   ( Alternate interior points )
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       ∴ Δ CBF ≅ Δ EDF    ( By ASA criterion)

        The Δ CBF is congruent to Δ EDF By ASA criterion .

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yan [13]
You can graph that by looking at the y-intercept first. That's where you start to put a point in the coordinate plane or graph.

So go down 1 below 0.

Next, look at the slope.
We know that y = -2x - 1 is in slope intercept form (y = mx+b)
So -2 is our slope. It will be -2/1 because we need a fraction to graph the rise over run and all whole numbers can be a fraction by making 1 as their denominator.

Look at the attachment. 

Starting from -1 (y-intercept), go down 2 (-2) then right 1 (1).
To complete the line above, keep the same value and reverse their sign/symbol. So -2/1 will be 2/-1. It goes up 2 then left 1.

I hope you understand and find this answer the most helpful! :)

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