Determine whether F(x)=4x^2-16x+6 has a maximum or a minimum value and find that value

Answer:

90 degree's

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

When are two angles complementary?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Two angles are complementary when they add up to [tex]\tt{90\textdegree}[/tex].

For example:-

Angles whose measures are 60º and 30º are complementary because they add up to 90º.

Now, supplementary angles add up to [tex]\tt{180\textdegree}[/tex].

For example, angles whose measures are 140º and 40º are supplementary because they add up to 180º.

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Answer:

54 yards²

Step-by-step explanation:

First, we can find the area of the figure as a whole.

6 x 11 = 66

Now we have to find the area of the smaller rectangle

3 x 4 = 12

Finally, we subtract the whole and the smaller rectangle

66 - 12 = 54

Answer: [tex]f^-1(1)=-1[/tex]

Step-by-step explanation:

From the graph given we can derive the function  [tex]f(x)[/tex]

[tex]f(x) = .5x + 1.5[/tex]

To solve  [tex]f^-1(1)[/tex] we need to find the inverse function of [tex]f(x)[/tex].

Inverse functions are functions that essentially "reverse" the mapping of the domain ([tex]x[/tex]) and range ([tex]y[/tex]) of the parent function.

To find the inverse function  [tex]f(x)[/tex] we need to solve for x in terms of y.

[tex]y = .5x + 1.5[/tex]

[tex]y - 1.5 = .5x[/tex]

[tex]\frac{y - 1.5}{.5} = \frac{.5x}{.5}[/tex]

[tex]x=2y-3[/tex]

from this, we can derive that

[tex]f(y)^-1=2y-3[/tex]

this can also be written as a function of x

[tex]f(x)^-1 = 2x-3[/tex]

both functions are identical.

take one of these functions and you can find that

[tex]f^-1(1) = 2(1) - 3[/tex]

[tex]f^-1(1) = -1[/tex]

Answer:

254/54797

Step-by-step explanation:

image attached

The value of ∠AKL and ∠AKC are both 45° each. The justification is that lines AK and KC both split the regular polygons BKLC (rectangle) and ABCD in two. The sum of angles in a right angle is 90°, hence half of that is 45°

A regular polygon is one that is two-dimensional and can be created at least three lines together.

Because, the sum of angles in a right angle is 90°, hence half of that is 45°. Therefore, the values of ∠AKL and ∠AKC are both 45° each.

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y=x2 + 5x + 10

y + 5x = x2 + 10 + 4x - 10

0 = x2-9x 0 = x2 - 9x + 20

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack” mathematically like this :

[tex]17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14[/tex]

Let he has n pencils

So

[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}+5=17[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{6n}{7}=12[/tex]

[tex]\\ \rm\hookrightarrow 6n=84[/tex]

[tex]\\ \rm\hookrightarrow n=14[/tex]

A credit card has to be paid in full on the due date. The correct option among all the options that are given in the question is the first option. The other choices are incorrect and can be easily neglected. The amount of money that the credit card company bills for a month has to be paid in full within the due date or additional fine would be added to the next bill.

The given equation represents a function and inverse of the function exist if x ≥ 6.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y = 2(x – 5)² – 6

Part A:

Using vertical line test, we can find the whether the graph is a function or not.

After drawing a graph for the given curve, and drawing a vertical line.

The vertical line touches only one point for the one input.

The given equation represents a function.

Part B:

Replace x → y and y → x

x = 2(y – 5)² – 6

2(y – 5)² = x + 6

[tex]\rm y^-^1 = \sqrt{\dfrac{x+6}{2}} +5[/tex]

Plug x = 1 in the y:

y = 26

Plug  [tex]\rm y ^-^1[/tex] = 1 in inverse of a function:

x = 26

Thus, the given equation represents a function and inverse of the function exist if x ≥ 6.

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Answer:

35%

Step-by-step explanation:

Percent increase is (new number - old number) / old number

(162 - 120) / 120 = 42 / 120 = 0.35 = 35%

Answer:

should be 3^X = 7 and X = log7/log3

Step-by-step explanation:

Answer:

[tex]3^x = 7\\x = \frac{log7}{log3}[/tex]

Answer:

[tex]709*68=48212[/tex]

ans = 48212

Answer:

1600 / 1.1^10 = $616.87

Step-by-step explanation:

Im not so sure, but here

the value of the diamond ring 10 years ago was approximately $419.47

To find the value of the diamond ring 10 years ago, we need to calculate its original value before the annual appreciation.

Let's assume the original value of the ring 10 years ago was "x" dollars.

After 10 years, with an annual appreciation rate of 12%, the value of the ring became $1200.

The formula to calculate the future value (FV) of an investment with compound interest is:

FV = PV * (1 + r)ⁿ

where:

FV = future value

PV = present value (original value)

r = annual interest rate (as a decimal)

n = number of years

In this case, we have:

FV = $1200 (present value after 10 years)

r = 12% (0.12 as a decimal)

n = 10 years

Now, we can rearrange the formula to find the original value (PV):

PV = FV / (1 + r)ⁿ

PV = $1200 / (1 + 0.12)¹⁰

PV = $1200 / 2.85610019

PV ≈ $419.47

So, the value of the diamond ring 10 years ago was approximately $419 (rounded to the nearest dollar).

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Answer: See below

Step-by-step explanation:

[tex]$$Find the possible rational roots using the rational root theorem:$$x^{3}+x^{2}-3 x+12=0$$Select the coefficient of the leading term and the constant term:$1 x^{3}+x^{2}-3 x+12=0$\\Find the positive divisors of 12 and 1: \\\\Divisors of $12: 1,2,3,4,6,12$\\Divisors of $1: 1$\\Divide each of the divisors of 12 by 1 :\\$\frac{1}{1}, \frac{2}{1}, \frac{3}{1}, \frac{4}{1}, \frac{6}{1}, \frac{12}{1}$2, \pm 3, \pm 4, \pm 6, \pm 12$$[/tex]

[tex]$$Because both positive and negative values are valid candidates, the possible rational roots of $x^{3}+x^{2}-3 x+12=0$ are:$$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 12[/tex]

Answer:

[tex] \frac{x - 2}{7} [/tex]

Step-by-step explanation:

[tex]f(x) = 7x + 2[/tex]

[tex]let \: \: f(x) = y[/tex]

[tex]7x + 2 = y[/tex]

[tex]7x = y - 2[/tex]

[tex]x = \frac{y - 2}{7} [/tex]

[tex] {f}^{ - 1} (x) = \frac{x - 2}{7} [/tex]

[tex]\large\text{view\:explanation\:for\:more\:details}[/tex]

Remember , inverse functions do the opposite things in the opposite order.

Here's what happened to x here :

We can easily find the inverse of any function by following these steps :

f(x)=7x+2

y=7x+2

        2. Now , switch y and x places :

x=7y+2

            3. Solve for y .

First , subtract 2 on both sides :

x-2=7y

Divide by 7 on both sides :

[tex]\text{y=$\displaystyle\frac{x-2}{7}$}}[/tex]

[tex]\tiny\text{hope\:helpful}[/tex]

Answer:

need pictures of questions

Step-by-step explanation:

please

A current asset is an asset that can reasonably be expected to be sold, consumed, or exhausted through the normal operations of a business within the current fiscal year

Your information is incomplete. Therefore, an overview of the current asset will be given. Current assets are those that you can convert into cash within one year, such as short-term investments and accounts receivable.

Current assets include cash, cash equivalents, accounts receivable, stock inventory, marketable securities, pre-paid liabilities, and other liquid assets.

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Answer:

See the photo above

Step-by-step explanation:

Hope this helps and have a nice day

Answer:Triangular Pyramid Solved Examples Example 1: Find the surface area of a triangular pyramid with the base area is 28cm.sq., the perimeter is 20cm, slant length is 5cm. Solution: Surface area = [Base area] + ½ × Perimeter × [Slant length] = 28 + ½ × 20 × 5 = 28 + 50 = 78 cm.sq.

Step-by-step explanation:

The probability of at least one of the coins showing heads is 4

Answer:

The GCF of 12 and 28 is 4

hope it helpsss

Answer: is 4 thats the answer

Step-by-step explanation: i have none im not good at explaining math welp have a good day

Answer:

Angle #1 is 45 degrees

Angle #2 is 60 degrees

Angle #3 is 75 degrees

Step-by-step explanation:

x- angle #1

y- angle #2

(180-x-y)- angle #3

3x=180-x

4x=180

x=45

180-x-y=y+15

y=60

180-60-45=

180-105= 75

ans = 0.00369913687

hope it helps...!!!!

Step-by-step explanation:

I only know the answer for the second task

Answer:

79

Step-by-step explanation:

Answer:

The common denominator is 8

Step-by-step explanation:

It depends on what you mean. The denominator is 8 in both of the fractions that is being added together