What is the vortex of the quadratic function fox (x-8)(x-2)?

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] x [tex]\frac{3}{4}[/tex]

multiply like normal:

[tex]\frac{1}{2}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{3}{8}[/tex]

Answer:

angle 3 and angle 2 are complementary angle.

Answer:

-4x + y + 6z

Step-by-step explanation:

Combine like terms (Terms with the same variable):

(2x + 5y - z) + (-6x - 4y + 7z)

Add straight across:

2x - 6x = -4x

5y - 4y = y

-z + 7z = 7z - z = 6z

-4x + y + 6z is your answer.

~

Answer:

-4x +y + 6z (Cyan answer)

Answer:

B

Step-by-step explanation:

Y is the total cost, 22x is how many tickets bought, and 10 is the parking cost

Answer:

$86

Step-by-step explanation:

first you gotta find the interest

4,600 * 1% = 46

so the interest is $46

then you add the interest and late fees together to get the payment for the month

46 + 40 = $86

your total cost is $86

The fess plus interest of the month will be $86 after missing a payment.

Given:

Balance  = $4600

Interest rate = 0.01

Step 1: Calculate the interest for the month.

Interest for the month = Balance × Monthly Interest Rate

Substituting the value back to the formula

Interest for the month= $4,600 × 0.01

                                      = $46

Step 2: Add the late payment fee.

Late payment fee = $40

Step 3: Total fees plus interest for the month.

Total = Interest for the month + Late payment fee

Total = $46 + $40

Total = $86

So, fees plus interest for the month when you miss a payment amount to $86.

Learn more about interest here:

https://brainly.com/question/28272078

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Answer:

-9x - 10

Step-by-step explanation:

Answer:

x=9/2

Step-by-step explanation:

So in this equation we have to solve using PEMDAS, or parentheses, exponents, multiplication, division, addition, then subtraction, going from left to right. So first, i deal with whats in the parentheses, but since it cannot be subtracted, I next go on to the next step. Since there are no exponents, our next step is to multiply or distribute 2 into (-3-6x). In other words, i multiply 2 by -3 and 2 by -6x. This is going to be -6 -12x. After that, i add and subtract common factors, so 3x-12x is -9x, and -4-6 is -10. This leaves us with -9x-10=0. I  add 10 to each side according to addition property of equality. Thus, the equation is -9x=-10. Divide both sides by -9, by the division property of equality, and u get 10/9. If you want a decimal answer, type it into a calculator.

Answer:

40°

Step-by-step explanation:

Base length, b = adjacent = 3020 feets

Height of building, h = opposite = 2534 feets

The angle of elevation formed :

Using the trigonometry relation:

Tan θ = opposite / Adjacent

Tan θ = 2534 / 3020

Tan θ = 0.8390728

θ = tan^-1(0.8390728)

θ = 39.999

= 40°

The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].

In this question we shall use the following derivative rules:

Derivative of a sum of functions

[tex]\frac{d}{dt}(f(t) + g(t)) = \frac{df(t)}{dt} + \frac{dg(t)}{dt}[/tex] (1)

Derivative of a product of functions

[tex]\frac{d}{dt}(f(t)\cdot g(t)) = \frac{df(t)}{dt}\cdot g(t) + f(t)\cdot \frac{dg(t)}{dt}[/tex] (2)

Derivative of a constant

[tex]\frac{d}{dt}(k) = 0[/tex], [tex]\forall k \in \mathbb{R}[/tex] (3)

Derivative of a function multiplied by a constant

[tex]\frac{d}{dt}(c\cdot f(t)) = c\cdot \frac{df(t)}{dt}[/tex], [tex]\forall\, c\in \mathbb{R}[/tex] (4)

Derivative of the cosine function

[tex]\frac{d}{dt} \cos t = -\sin t[/tex] (5)

Derivative of the tangent function

[tex]\frac{d}{dt}\tan t = \sec^{2} t[/tex] (6)

Chain rule

[tex]\frac{d}{dt}f[u(t)] = \frac{df(u)}{du}\cdot \frac{du(t)}{dt}[/tex] (7)

Let be [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex], then the derivative of [tex]f(x)[/tex] is:

[tex]f'(x) = \sec^{2}x\cdot (4 + 3\cdot \cos x) + (3+\tan x)\cdot (-3\cdot \sin x)[/tex]

[tex]f'(x) = 4\cdot \sec^{2}x+3\cdot \sec x -9\cdot \sin x -3\cdot \sin x\cdot \tan x[/tex]

[tex]f'(x) = \frac{4+3\cdot \cos x}{\cos^{2}x} -\frac{9\cdot \sin x \cdot \cos x+3\cdot \sin^{2}x}{\cos x}[/tex]

[tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex]

The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].

We kindly invite to check this question on derivatives: https://brainly.com/question/21202620

Step-by-step explanation:

7/10 - 1/2 = 7/10 - 5/10 = 2/10

Answer:

4/4

Step-by-step explanation:

Answer:

Find the slope this way Hanna,

Step-by-step explanation:

slope = m

m = (y2-y1) / (x2-x1)

you are given the two points

P1 = (-2,-6)  in the form (x1,y1)

P2 = (2,2) in the form (x2,y2)

plug those into the slope formula above

m = (2-(-6) ) / (2 - (-2) )

m = (2 +6) / (2+2)

m = 8 / 4

m = 2  

if you need more explanation just leave a comment, it will show up and I'll come look at your question

Answer:

44:99 = 4:9

108:36 = 3:1

33:9 = 11:3

49:14 = 7;2

hope it helps

Answer:

140.00

Step-by-step explanation:

20 x 4 = 80 hours worked

80 x 8.00 = $640.00

640.00 - 500.00 = 140.00

Answer:

2.5 and -0.75

Answer:

3 hours

Step-by-step explanation:

24/7 = 3.42 hours and rounded that will be 3 hours

the correct answer is D 43.20

Answer:

A is the answer

Step-by-step explanation:

8% is the same same as 3.20$

So subtract that from 40$

Hope I could help !

Answer: Its B

Step-by-step explanation: Hope this was helpful I am not to sure this is the right answer but let me know if it is

Answer:

131

Step-by-step explanation:

Hope it helps ;)

Answer:

15

Step-by-step explanation:

Given

Hypotenuse (h) = 17 cm

perpendicular (p) = 8 cm

base (b) = ?

we know by using Pythagoras theorem

b = √h² - p²

= √ 17² - 8²

= √ 225

= 15 cm

or

YZ = 15 cm

Hope it will help :)❤

Answer:

64.8

Step-by-step explanation:

Pythagoreon Theroem

a^2 + b^2 = c^2  in  this situation it would actually be the opposite, seeing where the "x" is (on a leg) c^2 - b^2 = a^2. First  take the square of 67 and 17

67 squared is 4489 and 17 squared is 289 then  subtract both results

4489-289 = 4200 take the square root of this number

64.8074  (Round to the tenths 64.8)

Answer:

The probability is 0.341

Step-by-step explanation:

Here, we want to calculate the probability that the student will win exactly one of the two matches

This means that;

If they win on Saturday, they lose on Sunday

or

If they lose on Saturday, they win on sunday

So either of the two scenarios will give that the team will win on either of the two days

Mathematically, we have that;

(0.45 * 0.33) + (0.55 * 0.35)

= 0.1485 + 1925

= 0.341

Answer:

242

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

Given

9a² + 2b² ← substitute a = 4 and b = 7

= 9(4)² + 2(7)²

= 9(16) + 2(49)

= 144 + 98

= 242

Answer:

3.

Step-by-step explanation:

The gradient = (12-6/(10-8)

= 6/2

= 3.

Answer:

6

Step-by-step explanation:

78/13 = 6 crayons

Answer:

6 crayons I believe

Step-by-step explanation:

78/13= 6

Answer:

Yep,

it is correct!

Answer:

No

Step-by-step explanation:

14:12 is not equivalent to 7:5 because if you divide 14 by 2, you would get 7. If you divide 12 by 2, however, you will get 6. So the equivalent ratio for 14:12 is 7:6.

Answer:

I think it would be A.

Answer:

h

Step-by-step explanation

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

Answer:

H. 162.56 cm

Step-by-step explanation:

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

Answer:It’s a long triangle

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