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olasank [31]
4 years ago
12

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

Mathematics
1 answer:
Delvig [45]4 years ago
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]
34.11 hope it’s right
4 0
3 years ago
What dose this mean :(me need to draw line
max2010maxim [7]

<em>Because OP only asked for a clarification of the problem statement: </em>

You are asked to find the green area. (Hint: divide the green area into rectangles and right triangles, because you know their area.)

6 0
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 

<span>-8p + 160 = 0 </span>

<span>-8p = -160 </span>

<span>p = 20 </span>

<span>~~~ </span>
<span>B) Number of drills sold when p = 20 is </span>

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

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
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