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mote1985 [20]
4 years ago
6

What's the numerator for the following rational expression?2/f + 5/f = ?/f

Mathematics
1 answer:
Virty [35]4 years ago
3 0
We have 2/f + 5/f = (2+5)/f = 7/f;
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Find f\left(x+3\right)f(x+3) given the function: f\left(x\right)=-5x+3f(x)=−5x+3
Serjik [45]

Answer:

-5x-12

Step-by-step explanation:

Given f(x) = -5x+3, to get f(x+3), we are going to replace x in f(x) with x+3 as shown;

f(x) = -5x+3

f(x+3) = -5(x+3)+3

f(x+3) = -5x-15+3

f(x+3) = -5x-12

Hence the function f(x+3) is -5x-12

7 0
3 years ago
In the diagram, PN¯¯¯¯¯ is the perpendicular bisector of AB¯¯¯¯¯ and is also the angle bisector of ∠CPD. If m∠CPD = x, which qua
zaharov [31]

Since ∠CPD = x and segment PN is the angle bisector of this angle, therefore segment PN equally divides ∠CPD into two angles. Which means that:

∠CPN = ∠NPD = x / 2

Further, segment PN is also the perpendicular bisector of AB which further means that the intersection formed by PN and AB creates a right angle (90°). Therefore:

∠NPD + ∠DPB = 90°

x/2 + ∠DPB = 90°

∠DPB = 90 – x/2

Therefore:

sin∠<span>DPB = sin(90 – x/2) which is not in the choices</span>

However we know that the relationship of sin and cos is:

sin(π/2 - θ) = cos θ

Where,

π/2 = 90

θ = x/2

Therefore:

sin(90 – x/2) = cos(x/2)

 

Answer:

<span>cos(x/2)</span>

8 0
3 years ago
Read 2 more answers
Stephanie has pennies, nickels, dimes, and quarters in her piggy bank. The total value of the coins is 0.01(n + 10) + 0.05n + 0.
stepladder [879]

Answer:

A. the number of pennies

Step-by-step explanation:

.01 is the numerical value of a penny

6 0
3 years ago
What is the rate of change for f(x) =7 sin x-1 on the interval from x=0 to x=piover 2
Oksi-84 [34.3K]
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\bf f(x)= 7sin(x)-1  \qquad &#10;\begin{cases}&#10;x_1=0\\&#10;x_2=\frac{\pi }{2}&#10;\end{cases}\implies \cfrac{f\left( \frac{\pi }{2} \right)-f(0)}{\frac{\pi }{2}-0}&#10;\\\\\\&#10;\cfrac{[7\cdot 1-1]~-~[7\cdot 0-1]}{\frac{\pi }{2}}\implies \cfrac{6-(-1)}{\frac{\pi }{2}}\implies \cfrac{6+1}{\frac{\pi }{2}}\implies \cfrac{7}{\frac{\pi }{2}}\implies \cfrac{14}{\pi }
7 0
4 years ago
Please help ASAP! Randy is putting bricks around the outside of his flower bed to protect the plants. A; If the diameter of his
MissTica
You need the circumfrence of the flower bed.  
C=diameter x pi.  

C=100in.x pi. pi=3.1415.....  

C= 100 x 3.1415

C=314.15 which is the distance in inches around the flower bed.

Each curved brick is half a foot long, which is 6 inches.  

314.15 divided by 6

= 52.358 bricks. 
8 0
3 years ago
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