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3 years ago

What is the vertex of (x) = –16x² + 64x + 80.

Mathematics

1 answer:

cricket20 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

f(x) = a(x - h)² + k - the vertex form of the equation of the parabola with vertex (h, k)

$f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}$

<u>The vertex is </u><u>(2, 124)</u>

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Divide 1.20m in the ratio 2:3:4 in a clear way

tatuchka [14]

2:3:4 gives 9 equal parts.
1.20 divided by 9 is 0.133.

2 * 0.133 would be 0.266m
3 * 0.133 would be 0.399m
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3 years ago

The graph of a sinusoidal function intersects its midline at (0,5) and then has a maximum point at (\pi,6)

Natalija [7]

First, let's use the given information to determine the function's amplitude, midline, and period.

Then, we should determine whether to use a sine or a cosine function, based on the point where x=0.

Finally, we should determine the parameters of the function's formula by considering all the above.

Determining the amplitude, midline, and period

The midline intersection is at y=5 so this is the midline.

The maximum point is 1 unit above the midline, so the amplitude is 1.

The maximum point is π units to the right of the midline intersection, so the period is 4 * π.

Determining the type of function to use

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a sin(bx)+d

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3 years ago

In 2010, Kim-Ly earned $17.50 for 2 hours of work. Which table shows the relation ship between the number of hours worked and Ki

Gnom [1K]

Answer:

Step-by-step explanation:

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3 years ago

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Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate

kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

$x-1\leq 0\, \text{and}\, x-4\geq 0$

$x-1 \geq 0\, \text{and}\, x-4\leq 0$

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Observe the image below.

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3 years ago

Please please please help I really need help I will give you 10 points!

Zigmanuir [339]

5.057 because 3.89 times 1.3 = 5.057

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3 years ago