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castortr0y [4]
4 years ago
14

Find the VERTEX of the parabola f(x) = x^2 - 16x + 63

Mathematics
1 answer:
Eva8 [605]4 years ago
6 0

Answer:

vertex = (8, - 1 )

Step-by-step explanation:

Given a parabola in standard form, f(x) = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = x² - 16x + 63 ← is in standard form

with a = 1 and b = - 16, thus

x_{vertex} = - \frac{-16}{2} = 8

Substitute x = 8 into f(x)

f(8) = 8² - 16(8) + 63 = 64 - 128 + 63 = - 1

vertex = (8, - 1 )

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There are 14 horses and 56 camels at the stable. What fraction of animals in the stable are horses?
aleksandrvk [35]

Answer:

1/4

Step-by-step explanation:

if you do it on a calculator it comes out to 0.25 which equals 1/4

5 0
3 years ago
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An electrical engineer wishes to compare the mean lifetimes of two types of transistors in an application involving high-tempera
Olin [163]

Answer:

(115.2642, 222.7358).

Step-by-step explanation:

Given data:

type A: n_1=60, xbar_1=1827, s_1=168

type B: n_2=180, xbar_2=1658, s_2=225

n_1 = sample size 1, n_2= sample size 2

xbar_1, xbar_2 are mean life of sample 1 and 2 respectively. Similarly, s_1 and s_2 are standard deviation of 1,2.

a=0.05, |Z(0.025)|=1.96 (from the  standard normal table)

So 95% CI is

(xbar_1 -xbar_2) ± Z×√[s1^2/n1 + s2^2/n2]

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= (115.2642, 222.7358).

8 0
3 years ago
Need some help, please. What do I plot? I attempted to figure the questions out many times, but I've come to no clear conclusion
olganol [36]

Answer:

vertex is (4,-4) and another point is (6,0) or you could use (2,0) or many other options :)

Step-by-step explanation:

The cool thing about this question your quadratic is in factored form so your x-intercepts are easy to figure out, they are 2 and 6.

So you can plot (6,0) and (2,0).

The vertex will lie half between x=2 and x=6... so it lays at (6+2)/2=4

We just have to find the y-coordinate for when x=4.

Plug in 4 gives you (4-2)(4-6)=(2)(-2)=-4.

So the vertex is at (4,-4).

5 0
4 years ago
At a New Car Dealership, a particular model comes in 3 different trim levels (CX, DX,
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Answer:

B. 48

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Which value for x makes the equation x -4.21 = 6.047 true? A. x = 10.68 C. X = 10.247 B. x = 10.257 D. x = 1.837​
Anuta_ua [19.1K]

Answer:

C. X = 10.247

Step-by-step explanation:

X -4.21 = 6.047

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2 years ago
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