The PTA is sponsoring an 8th grade

Mathematics

2 answers:

vagabundo [1.1K]2 years ago

6 0

Answer:

cjdfnadjffseufhwuouefvnj

Step-by-step explanation:

Sergio [31]2 years ago

6 0

It depends on how long the dance is expected to last.
100+17.50t = 125+10t
7.50t = 25
t = 3⅓ hours

Dylan costs less than Mya for up to three hours. For four or more hours, Mya will charge less than Dylan.

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Determine the amplitude, period, and phase shift of the function f(x)=cos (8(x-1))+2

SCORPION-xisa [38]

We have been given a function $f(x)=\text{cos}(8(x-1))+2$ . We are asked to find the amplitude, period and phase shift of the function

We can see that our given function is in form $f(x)=A\cdot \cos(B(x-C))+D$ , where,

$|A|$ = Amplitude.

Period = $\frac{2\pi}{|B|}$

C = Horizontal shift,

D = Vertical shift.

We can see that value of a is 1, therefore, the amplitude of given function would be 1.

We can see that B is equal to 8, so we will get:

$\text{Period}=\frac{2\pi}{|B|}= \frac{2\pi}{|8|}=\frac{\pi}{4}$

Therefore, the period of given function is $\frac{\pi}{4}$ .

Since the value of C is 1, therefore, horizontal shift is 1.

Since the value of D is 2, therefore, vertical shift would be 2.

4 0

2 years ago

a car travels 350 miles on 20 gallons of gasoline.how many gallons will be used to travel 875 miles under the same condition? Ex

Lerok [7]

A car can travel for a distance of 350 miles in = 20 gallons
The car can travel for a distance of 1 mile in = (20/350) gallons
      = 2/35 gallons
Then
The same car can travel for a distance of 875 miles in = (2/35) * 875 gallons
      = 1750/35 gallons
      = 50 gallons
So it can be seen that 50 gallons of gasoline is required to travel for a distance of 875 miles. I hope the procedure is clear enough for you to understand.

4 0

2 years ago

Can someone answer 7-11 for me by 12:00AM

lawyer [7]

Answer:

Step-by-step explanation:

7). x + y = 4 ⇒ y = 4 - x -----> xy = - 96

x(4 - x) = - 96 ⇔ x² - 4x - 96 = 0

D = ( - 4)² - 4(1)(- 96) = 400 = (20)²

$x_{1}$ = (- ( - 4) - 20) ÷ 2(1) = - 8