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zzz [600]
3 years ago
7

If f(x) = x2, and g(x) = x – 1, then f(g(x)) = [? ]x2+[?]+ [?]

Mathematics
1 answer:
Basile [38]3 years ago
5 0

Answer:

f(g(x)) = x² - 2x + 1

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f(g(x))

= f(x - 1)

= (x - 1)² ← expand using FOIL

= x² - 2x + 1

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The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean
Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

Upon substituting our given values we will get,

\text{Cos (4)}=\frac{55.86}{h}

h=\frac{55.86}{\text{Cos (4)}}

h=\frac{55.86}{0.99756405026}

h=55.996\approx 56                      

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0
3 years ago
2\%2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School.
Andrew [12]

Answer:

<u>14 students</u> at Hamilton Middle School have red hair.

Step-by-step explanation:

Given:

2%, percent of the students at Hamilton Middle School have red hair.

There are 700 students at Hamilton Middle School.

Now, to find the number of students at Hamilton Middle School having red hair.

Total number of students = 700.

Percent of the students at Hamilton Middle School have red hair = 2%.

Now, to get the number of students at Hamilton Middle School having red hair:

2\%\ of\ 700\\\\=\frac{2}{100} \times 700\\\\=0.02\times 700\\\\=14.

Therefore, 14 students at Hamilton Middle School have red hair.

3 0
3 years ago
Read 2 more answers
According to the scores on the last math test, 80%, or 20, of the students in the class received an A. Find the number of studen
Sladkaya [172]
80% is the same as 4/5, so 4/5 of the class= 20. That means that if there was a picture, 4 parts would be shaded, and 1 would not. 1/4 of 20 is 5, so 1 part= 5 people. 5 x 5 = 25. 25 is the answer. :)
8 0
3 years ago
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Find the difference quotient of f(x)=5x+4
Aleonysh [2.5K]
The differnce quotient is basically taking the derivitive (result will be f'(x)=5, but anyway)

here is the disffernce quotient
lim_{h\rightarrow0}\frac{f(x+h)-f(x)}{h}

so
for your equation
lim_{h\rightarrow0}\frac{(5(x+h)+4)-(5x+4)}{h}
lim_{h\rightarrow0}\frac{5x+5h+4-5x-4}{h}
lim_{h\rightarrow0}\frac{5h}{h}
h's cancel and you are left with 5
the differnce quotient is 5
6 0
3 years ago
the marked price of an article , which is brought it for Rs 1280 is 25% above the cost price. if the discount is allowed and cus
AnnZ [28]

Answer:

I corrected my mistakes.

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3 years ago
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