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Scrat [10]
3 years ago
5

3. Reduce to lowest terms: 320 over 340

Mathematics
1 answer:
sineoko [7]3 years ago
5 0

320/340 can also be written as 16/17.

Divide/cancel both with 20.

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HELP WITH ALL <br> Determine the composite functions of the following set of functions
elixir [45]

QUESTION 1

i) Given f(x)=5x-2 and g(x)=x^2.

(f\circ g)=f(g(x))

(f\circ g)=f(x^2)

We plug in x^2 into f(x)=5x-2

(f\circ g)=5x^2-2

ii) Given f(x)=5x-2 and g(x)=x^2.

(g\circ f)=g(f(x))

(g\circ f)=g(5x-2)

We plug in 5x-2 into g(x)=x^2

(g\circ f)=(5x-2)^2

(g\circ f)=25x^2-10x-10x+4

(g\circ f)=25x^2-20x+4

QUESTION 2

i) Given g(x)=x^2-4 and h(x)=\sqrt{2x+1}.

(h\circ g)=h(g(x))

(h\circ g)=h(x^2-4)

We plug in x^2-4 into h(x)=\sqrt{2x+1}

(h\circ g)=\sqrt{2(x^2-4)+1}

(h\circ g)=\sqrt{2x^2-8+1}

(h\circ g)=\sqrt{2x^2-7}

ii) Given g(x)=x^2-4 and h(x)=\sqrt{2x+1}.

(g\circ h)=g(h(x))

(g\circ h)=g(\sqrt{2x+1})

We plug in \sqrt{2x+1 into g(x)=x^2-4

(g\circ h)=(\sqrt{2x+1})^2-4

(g\circ h)=2x+1-4

(g\circ h)=2x-3

QUESTION 3

i) Given g(x)=x+5 and h(x)=\sqrt{x-4}.

(g\circ h)=g(h(x))

(g\circ h)=g(\sqrt{x-4})

We plug in \sqrt{x-4} into g(x)=x+5

(g\circ h)=\sqrt{(x-4)+5}

ii) Given g(x)=x+5 and h(x)=\sqrt{x-4}.

(g\circ g)=g(g(x))

(g\circ g)=g(x+5)

We plug in x+5 into g(x)=x+5

(g\circ g)=(x+5)+5}

(g\circ g)=x+10}

QUESTION 4

The given functions are;

f(x)=-2x+1 and g(x)=-x^2  

f\circ f=f(f(x))

f\circ f=f(-2x+1)

f\circ f=-2(-2x+1)+1)

f\circ f=4x-2+1)

f\circ f=4x-1)

ii)  

g\circ g=g(g(x))

g\circ g=g(-x^2)

g\circ g=-(x^2)^2

g\circ g=-x^4

QUESTION 5

f(x)=5x-2;g(x)=x^2;h(x)=-3x

h\circ g\circ f=h\circ (g(f(x))

h\circ g\circ f=h\circ (g(5x-2))

h\circ g\circ f=h\circ ((5x-2)^2)

h\circ g\circ f=h\circ (25x^2-20x+4)

h\circ g\circ f=h(25x^2-20x+4)

h\circ g\circ f=-3(25x^2-20x+4)

h\circ g\circ f=-75x^2+60x-12)

ii.

f\circ f\circ g=f\circ (f(g(x))

f\circ f\circ g=f\circ (f(x^2)

f\circ f\circ g=f\circ (5x^2-2)

f\circ f\circ g=f(5x^2-2)

f\circ f\circ g=5(5x^2-2)-2

f\circ f\circ g=25x^2-10-2

f\circ f\circ g=25x^2-12

7 0
3 years ago
(4 + 2)(3^2) − 6 + 2 × 3 = 54<br> true<br> false
Pavlova-9 [17]
It would be true.  (4+2)(3^2)-6+2*3=54 is true 

Hope this helps :) 

can you please make this the brainiest answer it would really help
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8 0
4 years ago
The ratio of black marker in a box to blue markers in a box is 3:5. If there are 10 more blue markers than black markers,how man
fiasKO [112]

Answer:

Total = 40

Step-by-step explanation:

Given

Black:Blue = 3:5

Blue = 10 + Black

Required

Determine the total number of markers

First, we need to determine the ratio of black to blue such that

Blue = 10 + Black

Black:Blue = 3:5

Multiply the ratio by 5

Black:Blue = 3 * 5 : 5 * 5

Black:Blue = 15 : 25

By direct comparison:

Black = 15

Blue = 25

The above shows that:

Blue = Black + 10

So:

Total = Black + Blue

Total = 25 + 15

Total = 40

7 0
3 years ago
Lena ran 17 1/2 miles this week. She runs 2 1/2 miles each day.
eimsori [14]
2 1/2 * 7 = 17.5. she ran 7 days
5 0
4 years ago
Read 2 more answers
Jessica has $50 to spend on new clothes. The jacket that she wants to buy is $48.20. If the tax rate is 6% does Jessica have eno
Virty [35]

Answer:


Step-by-step explanation:

She has 50$. A jacket is on for 48.20$. The tax is 6% of the product you buy.

6% = 0.06

To find 6% you do:

0.06*48.20

Which is 2.892.

You ADD 2.892 to the price.

48.20+2.892=

51.092. Round it:

51.09 > 50.00

No, she does not have enough.

5 0
4 years ago
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