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4 years ago

Two exponential functions, f and g, are shown in the figure below, where g is a transformation of f.

Mathematics

2 answers:

ivanzaharov [21]4 years ago

9 0

<span>The first thing that we must observe for this case is the intersection of the functions with the y axis.</span>

<span> We observed that:</span>

<span> For the function g (x) we have:</span>

<span> Therefore, we can rewrite g (x) as:</span>

<span> Looking for intersection with axis and we have:</span>

<span> g (0) = -2 (correct demonstration)</span>

<span> Answer:</span>

<span> The transformation of f (x) is:</span>

hram777 [196]4 years ago

6 0

Answer:

The correct option is A.

Step-by-step explanation:

The transformation is defined as

$g(x)=f(x+a)+b$ .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From the given graph it is clear that the function f(x) shifts 4 units down to get g(x). So, the value of b is -4 and value of a is 0.

$g(x)=f(x+0)+(-4)$

$g(x)=f(x)-4$

Therefore the correct option is A.

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Samir harvest the peppers and pumpkins in his garden he picks 3 5/8 less peppers in the afternoon than in the evening if Samir p

tatuchka [14]

<h2>Hello!</h2>

The answer is:

Samir picks $7\frac{9}{8} Kg$ of peppers in the evening.

To solve this problem, we must remember the way to add or subtract mixed numbers.

We must remember the way of adding or subtracting fractions:

$\frac{a}{b}+\frac{c}{d} =\frac{ad+bc}{bd}$

Also, if we need to add or subtract mixed numbers with different denominators, we need to follow the next steps:

- Add or subtract the whole number part

- Add or subtract the fractional numbers.

- Put together both, whole number addition or subtraction result and the addition or subtraction of the fractional numbers.

So,

$a\frac{b}{c}+d\frac{e}{f} =(a+d)\frac{bf+ce}{cf}$

Now, if Samir picks 3 5/8 less peppers in the afternoon than in the evenning, and if he picks 4 3/6 peppers in the afternoon, so:

Let be x the number of peppers that he picks in the evening, so:

$x-3\frac{5}{8}x=4\frac{3}{6}\\\\x=4\frac{3}{6}+3\frac{5}{8}$

Then, simplifying we have:

$x=4\frac{3}{6}+3\frac{5}{8}\\\\x=4\frac{3}{6}+3\frac{5}{8}=(4+3)\frac{24+30}{48}\\\\x=(4+3)\frac{24+30}{48}=7\frac{54}{48}=7\frac{9}{8}$

So, Samir picks $7\frac{9}{8} Kg$ of peppers in the evening.

Have a nice day!

6 0

4 years ago

If the two consecutive numbers is 23 , find them

Iteru [2.4K]

<h2>(☞^o^) ☞</h2><h2>Here's your answer </h2>

Step-by-step explanation:

Let the two consecutive natural numbers be x and x+1

Now, according to the problem

x+(x+1)=23

⇒ 2x+1=23

⇒ 2x=23−1

⇒ 2x=22

⇒ x=22÷2=11

The one number is 11

The next number is x+1=11+1=12

Hence the numbers are 11 and 12.

Be my Friend...

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2 years ago

6n +5<7n + 10

RoseWind [281]

Answer:

the answer is

Step-by-step explanation:

8 0

3 years ago

Lola measures three buttons for a shirt she’s making. One button is 1/8, 3/8 and 1/4 inch. The button hole is 2/6 of an inch. Wh

mel-nik [20]

Answer:

3/8

Step-by-step explanation:

That's the only one bigger than 2/6, any smaller will fall out as it's a button. You'd twist it sort of in half to get it in the hole, therefore, 3/8 is the only button that will fit.

I'm not sure if this is correct but this is how I'd go about it :)

7 0

3 years ago

Divide. −5 1/3 ÷ 2 3/4

Oxana [17]

Answer:

The Third one

Step-by-step explanation:

Because -64/33 == -1 31/33

6 0

3 years ago

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