How do I solve #2 using the product rule?

Charra [1.4K]

$4(2x+3)=2(3x+4) \\
8x+12=6x+8\\
2x=-4\\
x=-2 \Rightarrow A$

3 0

3 years ago

Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The triangle is dilated by a scale factor of 4 about poin

SpyIntel [72]

Answer:

Step-by-step explanation:

lol finals?

4 0

3 years ago

Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $

kolbaska11 [484]

Answer:

38%

Step-by-step explanation:

First determine her savings

560-347.49

212.51

Then divide by the total amount

212.51/560

.379482143

Change to percent form

37.948%

4 0

2 years ago

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100 points!!! Pre calculus. I need helpppppppppp

Fantom [35]

Answer:

We have function,

$y = 3 - 6 \sin {}^{} (2x + \frac{\pi}{2} )$

Standard Form of Sinusoid is

$y = - 6 \sin(2x + \frac{\pi}{2} ) + 3$

Which corresponds to

$y = a \sin(b(x + c)) + d$

where a is the amplitude

2pi/b is the period

c is phase shift

d is vertical shift or midline.

In the equation equation, we must factor out 2 so we get

$y = - 6(2(x + \frac{\pi}{4} )) + 3$

Also remeber a and b is always positive

So now let answer the questions.

a. The period is

$\frac{2\pi}{ |b| }$

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

So the period is pi radians.

b. Amplitude is

$| - 6| = 6$

Amplitude is 6.

c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.

So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].

D. Plug in 0 for x.

$3 - 6 \sin((2(0) + \frac{\pi}{2} )$

$3 - 6 \sin( \frac{\pi}{2} )$

$3 - 6(1)$

$3 - 6$

$= - 3$

So the y intercept is (0,-3)

E. To find phase shift, set x-c=0 to solve for phase shift.

$x + \frac{\pi}{4} = 0$

$x = - \frac{\pi}{4}$

Negative means to the left, so the phase shift is pi/4 units to the left.

f. Period is PI, so use interval [0,2pi].

Look at the graph above,

6 0

2 years ago

Adam has 16.45 kg of flour, and the uses 6.4 to make hot cross buns. The remaining flour is exactly enough to make 15 batches of

White raven [17]

Answer: 0.6kg of flour will be in each batch of scones.

Step-by-step explanation:

Adam has 16.45 kg of flour, and he used 6.4kg to make hot cross buns. This means that the remaining flour would be the total amount of flour that he had initially minus the the amount that he used to make hot cross buns. This is expressed as

16.5 - 6.4 = 10.05 kg

The remaining flour is exactly enough to make 15 batches of scones. This means that 10.05 kg of flour will be enough to make 15 batches of scones.

We want to determine how much flour, in kg, will be in each batch of scones. Let this amount of flour be xkg

If 10.05 kg of flour will be used to make 15 batches of scones. Then,

xkg of flour will be used to make 1 batch if stones

x = 10.05/15

x = 0.67

5 0

3 years ago

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