Help with this please

How do you solve: -16(2r-7)=4(5-3r) Thank you for answering!

kari74 [83]

Exact Form - 23/5

Decimal Form - 4.6

Hope This Help's

3 0

2 years ago

A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shif

omeli [17]

We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is $\frac{7\pi}{12}$ . The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is $y=A\cos(b(x-c))-d$ , where,

A = Amplitude,

$\frac{2\pi}{b}$ = Period,

c = Horizontal shift,

d = Vertical shift.

The equation of parent cosine function is $y=\cos(x)$ . Since function is reflected about x-axis, so our function will be $y=-\cos(x)$ .

Let us find the value of b.

$\frac{2\pi}{b}=\frac{7\pi}{12}$

$7\pi\cdot b=24\pi$

$\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}$

$b=\frac{24}{7}$

Upon substituting our given values in general cosine function, we will get:

$f(x)=-11\cos(\frac{24}{7}x)-9$

Therefore, our required function would be $f(x)=-11\cos(\frac{24}{7}x)-9$ .

7 0

2 years ago

Number 7 thanks ASAP ASAP

stellarik [79]

Answer:

Price is $1088 (agrees with answer B)

Step-by-step explanation:

Notice that the linear equation that represents this relationship can be estimated via finding the slope and y-intercept using a couple of the given points on the plane (for example (5, 140), and (10, 200), which results in;

Price = 12 x + 80

where "x" is the number of computers shipped.

Then, to ship 84 computers, we have the following price:

Price = 12 (84) + 80 = 1088

Then the price is $1088.

6 0

2 years ago

In right angled triangle (not drawn to scale) measurment (in cm) of two sides are indicated in figure Find value of x in case. (

lisabon 2012 [21]

Answer:

5.29 units

Step-by-step explanation:

By Pythagoras theorem:

${6}^{2} + {x}^{2} = {8}^{2} \\ 36 + {x}^{2} = 64 \\ {x}^{2} = 64 - 36 \\ {x}^{2} = 28 \\ x = \sqrt{28} \\ x = 5.29150262 \: units \\ x \approx 5.29 \: units$

4 0

2 years ago

A vase contains 30 flowers. There are 16 roses, 10 carnations, and the rest are daisies . What is the ratio of roses to daisies

Yanka [14]

Answer

Step-by-step explanation:

If you subtract the amounts of the other flowers you end up with four meaning there are four daises in the vase.

<h3>Please let me know if I am incorrect!</h3>

7 0

2 years ago

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