All categories

3 years ago

WILL GIVE A BRAINLIEST!!

2 answers:

4 0

If the vertex is at the maximum point they dy/dx=0 at that point...

dA/dx=-2x+4

dB/dx=-2x+8

dC/dx=2x-4

dD/dx=2x-8

So both B and D have a zero velocity at x=4, but only B is equal to 3 when x=4

B. is the correct quadratic with the vertex at (4,3)

scoray [572]3 years ago

3 0

Answer:

Step-by-step explanation:

We know that the vertex of the parabola is

$V(4,3)$

That means this points is being intercept by the parabola. In other words, the function that represents this parabola has to have this relation, when $x=4$ , $y=3$ .

So, you can observe that the second choice has a function that follows this relation. Let's see

$y=-x^{2} +8x-13$

So, for $x=4$

$y=-(4)^{2} +8(4)-13\\y=-16+32-13\\y=3$

Therefore, function B is the answer because it includes the vertex at its relation.

You might be interested in

Select all quantities that are proportional to the diagonal length of a square.

horsena [70]

Answer:

B. Perimeter of a square and

C. Side length of a square

Step-by-step explanation:

if n= side length of square then

Area of square is $n^{2}$
Perimeter of a square is 4×n
diagonal length of a square is $\sqrt{2}$ × n

Thus,

Perimeter of square can be expressed as

$2\sqrt{2}$ ×diagonal length of a square

Side length of a square can be expressed as

$\frac{1}{\sqrt{2} }$ ×diagonal length of a square

but Area of square is

$\frac{1}{\sqrt{2} }$ ×n×diagonal length of a square

As a Result, Area of square is <em>also dependent of the value n</em>, wheras in other cases it is <em>a proportion of diagonal length of a square</em>

5 0

3 years ago

What is the interquartile range of the data set below? Growth in feet of oak trees: 68,80,73,90,120,94,76,112,101,94,72 (1) 22

sdas [7]

<span>68,80,73,90,120,94,76,112,101,94,72 --->
68, 72, 73, 76, 80, 90, 94, 94, 101, 112, 120

Median = 90
Lower Median = 73
Upper Median = 101

IQR = 101 - 73
IQR = 28</span>

8 0

3 years ago

Suppose a shipment of 190 electronic components contains 3 defective components. To determine whether the shipment should be ac

PolarNik [594]

Answer:

0.0467

Step-by-step explanation:

Probabilty of being defective is $\frac{3}{190}$

So probability of being good is $\frac{187}{190}$

Now,

Probability that all 3 of them are good is:

$\frac{187}{190}^{3}=0.9533$

Now, to find probability of rejection, we subtract the now found probability from 1. Thus, we have:

1 - 0.9533 = 0.0467

5 0

3 years ago

√(25 - 10 √(3) + 3)<br> (not as a decimal)

nikitadnepr [17]

Answer:

$\huge\boxed{\sqrt{25-10\sqrt3+3}=5-\sqrt3}$

Step-by-step explanation:

$\sqrt{25-10\sqrt3+3}=(*)\\\\25=5^2\\3=(\sqrt3)^2\\10\sqrt3=(2)(5)(\sqrt3)\\\\(*)=\sqrt{5^2-(2)(5)(\sqrt3)+(\sqrt3)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(5-\sqrt3)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|5-\sqrt3|=5-\sqrt3\\\\^{\text{because}\ 5>\sqrt3\to5-\sqrt3>0}$

6 0

2 years ago

A bond has a $12,000 face value, a 9-year maturity, and a 3.1% coupon. Find the total of the interest payments paid to the bondh

jeka57 [31]

Answer:

$15348

Step-by-step explanation:

i = prt is the simple interest equation

i = 12,000(0.031) = 372

i = 372*9 = 3348

12000+3348 = $15348

4 0

2 years ago