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4 years ago

5) If f(x) = 4x2 - 5x + 7 and g(x) = 3x2 - 2x + 8, find f(x) + g(x).

1 answer:

3 0

Simply put this just means add the like terms together.
f(x) + g(x) = 4x^2 - 5x +7 + 3x^2 - 2x + 8
f(x) + g(x) = 7x^2 - 7x + 15. Don't go any further.

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Nick, Sarah and Gavyn share some sweets in the ratio 2:1:1. Nick gets 32 sweets. How many sweets are there altogether?

nikdorinn [45]

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4 0

3 years ago

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max2010maxim [7]

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3 years ago

If a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin(a+b).

frutty [35]

Answer:

$sin(a+b)=\frac{4\sqrt{21}+2\sqrt{65}}{45}$

Step-by-step explanation:

we are given

$sin(a)=\frac{4}{9}$

$sin(b)=\frac{2}{5}$

Firstly, we will draw triangle

we get

$cos(a)=\frac{\sqrt{65} }{9}$

$cos(b)=\frac{\sqrt{21} }{5}$

now, we can sue formula

$sin(a+b)=sin(a)cos(b)+cos(a)sin(b)$

now, we can plug values

$sin(a+b)=\frac{4}{9}\times \frac{\sqrt{21} }{5}+\frac{\sqrt{65} }{9}\times \frac{2}{5}$

now, we can simplify it

$sin(a+b)=\frac{4\sqrt{21}+2\sqrt{65}}{45}$

6 0

3 years ago

A manufacturer determines that the number of drills it can sell is given by the formula D=-4p^2+160p-270, where p is the price o

grigory [225]

D'(p) = -8p + 160

-8p + 160 = 0 

-8p = -160 

p = 20 

~~~ 
B) Number of drills sold when p = 20 is 

D(20) = [ -4(20)^2 + 160(20) - 270 ] = 1,130 drills 

I think this is right, i tried.

8 0

4 years ago

Read 2 more answers

I NEED HELP

BaLLatris [955]

Answer:

$\dfrac{1}{6}\ \text{cups per hour}$

Step-by-step explanation:

V = volume

r = rate

t = time

Use formula $V=r\cdot t$ connecting volume, rate and time.

In your case,

$V=\dfrac{1}{4}$ cup of water

$t=1\dfrac{1}{2}$ hours

r is unknown.

Substitute all data into the formula:

$\dfrac{1}{4}=r\cdot 1\dfrac{1}{2}\\ \\\dfrac{1}{4}=r\cdot \dfrac{3}{2}\\ \\2\cdot \dfrac{1}{4}=3r\ [\text{Multipled by 2}]\\ \\3r=\dfrac{1}{2}\\ \\r=\dfrac{\frac{1}{2}}{3}\ [\text{Divided by 3}]\\ \\r=\dfrac{1}{6}\ \text{cups per hour}$

3 0

3 years ago