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wariber [46]
2 years ago
7

What type of transformations have occurred in the function shown below?

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
5 0

Using shifting concepts, it is found that the correct option is:

  • Vertical stretch, horizontal shift left, vertical shift up.

The original function is:

y = \sqrt{x}

  • The original function was multiplied by 2, hence there was a <em>vertical stretch</em> by a factor of 2.
  • x \rightarrow x + 1, hence, there was an horizontal shift left.
  • 2 was added to the function, hence, there was a <em>vertical shift up.</em>

To learn more about shifting concepts, you can take a look at brainly.com/question/24465194

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Let f(t)=F′(t), with F(t)=7t2+3t, and let a=2 and b=4. Write the integral ∫ baf(t).dt and evaluate it using the Fundamental Theo
spayn [35]

Answer:

the integral I = 90

Step-by-step explanation:

for  

F(t)=7t²+3t and f(t)=F′(t)

then for a=2 and b=4 and according the Fundamental Theorem of Calculus

I=\int\limits^b_ a {f(t)} \, dt =  \int\limits^b_a {F'(t)} \, dt = F(b) - F(a)

then

F(b) = F(t=4) =  7*4²+3*4 = 124

F(a) = F(t=2) =  7*2²+3*2 = 34

thus

I = F(b)-F(a)= 124 - 34 = 90

I = 90

4 0
3 years ago
In the expression 5a2 + 4x2 - 7a + 8y - 9<br><br> How many terms are there?
natta225 [31]

Answer:

5 terms

Step-by-step explanation:

5a² is a term

4x² is a term

7a is a term

8y is a term

9 is a term

In total, there are 5 terms.

5 0
4 years ago
Show your solution read the instructions​
Annette [7]

Answer:

1) 5r + 2 < s

2) 12t + 6s < 960

3) p - q > 30

Step-by-step explanation:

1) Length of a ruler = r

Height of Shiela = s

According to the question ,

5 times the length of a ruler increased by 2 .

⇒ 5r + 2

Also , 5r + 2 is less than height of Shiela.

Hence , the linear inequality is ⇒ 5r + 2 < s

2) Let the cost of each t-shirt be 't' & cost of each short be 's'.

⇒ Cost of dozen of t-shirts = 12t and Cost of half a dozen shorts = 6s

According to the question ,

12t & 6s is not greater than Php 960.

Hence the linear inequality is ⇒ 12t + 6s < 960

3) Let the number of Php 100-peso tickets be 'p' and let the number of Php  50-peso tickets be 'q'.

According to the question ,

Difference of p & q is not less than 30

Hence the linear inequality is ⇒p - q > 30

8 0
3 years ago
Help i have to know this by tomorrow 43.60 ÷ 20
aniked [119]
Answer is 2.18 
knowing that 20 goes into 43 to times, leaving you with 3.60, you gotta add another zero in which you get 18 and simply add the decimal in between 2 and 18
6 0
3 years ago
Read 2 more answers
How much will you pay for 5 pounds of shrimp if the cost is 2 pounds for $10.99? show your work.
Mkey [24]
Cost for 2 pounds of shrimp = 10.99
Cost for 5 pounds of shrimp 
(10.99 / 2) * 5
$ 27.475
5 0
3 years ago
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