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VikaD [51]
3 years ago
8

If 7^9/7^n = 7^3 , then n is _____.

Mathematics
2 answers:
navik [9.2K]3 years ago
8 0
N= 3 because 9 divided by 3 is 3
tester [92]3 years ago
5 0
The answer you are looking for is 3
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If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))
julsineya [31]

Answer:

f(g(-1))=4

g(f(3))=50

Step-by-step explanation:

We know the definition of both functions: f(x)=3x-2, and g(x)=x^2+1

A) In order to evaluate what f(g(-1)) is, let's first investigate what g(-1) is using the definition for this function:

g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2

Now let's find what f(2) is using f(x) definition: f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4

B) In order to evaluate what g(f(3)) is, let's first investigate what f(3) is using the definition for this function:

f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7

Now let's find what g(7) is using the definition for this function:

g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50

4 0
3 years ago
Connor is stuck in a traffic jam on a single-lane road. The traffic report tells him the traffic jam stretches for 5.5 miles. If
dedylja [7]

Answer:

2323

Step-by-step explanation:

According to the questions above, the report from the traffic jam says the traffics jam stretches for 5.5 miles

As Connor assumes that each car is about 12.5 long

The next step is to convert 5.5 miles into feet.

Since 1 mile = 5280

To convert 5.5 miles, 5.5 x 5280 = 29040 feet  

To find the numbers of cars struck in traffic, we will have to divide 29040 by 12.5

29040/12.5 = 2323.3 ≅ 2323    

5 0
3 years ago
Dan had a large piece of wood that was 10 feet
Doss [256]

Answer:

40 pieces of wood

Step-by-step explanation:

Find how many pieces he cut by dividing 10 by 1/4

10 / (1/4)

= 40

So, Dan cut 40 pieces of wood

7 0
3 years ago
If y varies directly with x and y =6 when c= -7 what is y when x =4
kaheart [24]

y = kx

6 = (k)(-7)

k = -6/7

y = -6/7 x

y = (-6/7)(4)

y = -24/7 = -3 3/7

Answer: y = -3 3/7

Hope this helps!

6 0
2 years ago
If the discriminant is positive there is exactly one real solution.
Len [333]
It is in form
0=ax^2+bx+c
0=-3x^2-2x+6
a=-3
b=-2
c=6

so
x=
x=
x=
x=
x=
x=
x= or 
7 0
3 years ago
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