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givi [52]
3 years ago
13

Evaluate the function f(x)=4*7^x for x=-1 and x=2. show your work

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0
Remember, x^-1=1/x

so

f(-1)=4(7)^-1=4(1/7)=4/7
f(2)=4(7)^2=4(49)=196
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Substitute 2m + n =0 and m + 2n =3
melamori03 [73]

There are several ways you can solve this problem if you're trying to solve for m and n. You can substitute, or systems of equations. However, I'm going to use substitution:

2m + n = 0 => n = -2m

We can input that in for the other equation:

m + 2n = 3 now becomes: m + 2(-2m) = 3

Now we can solve:

m + 2(−2m) = 3

m + −4m = 3

(m + −4m) = 3 (Combine Like Terms)

−3m=3

m = -1

Now we can input that value in to solve for n:

We said that n = -2m, and m = -1, so n = -2(-1):Answer:

n = 2

Your final answer is m = -1, and n = 2, which can also be written as (m,n) = (-1,2)

----------------------

However, if you were solving for m+n:

You would add the two equations!:

2m + n = 0

m + 2n = 3

----------

3m + 3n = 3

Now, you can take 3 common:

3(m+n) = 3

m + n = 1

Your final answer for what m + n equals 1!

3 0
3 years ago
Make b the subject of the formula <br><img src="https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7Bbrt%7D%7Bv%20-%20b%7D%20" id="Tex
balu736 [363]

Answer:

b = \frac{kv}{k+rt}

Step-by-step explanation:

Given

k = \frac{brt}{v-b} ← multiply both sides by (v - b)

k(v - b) = brt ← distribute left side

kv - kb = brt ( subtract brt from both sides )

kv - kb - brt = 0 ( subtract kv from both sides )

- kb - brt = - kv ( multiply through by - 1 to clear the negatives )

kb + brt = kv ← factor out b from each term on the left

b(k + rt ) = kv ← divide both sides by (k + rt )

b = \frac{kv}{k+rt}

5 0
3 years ago
Plss I need answer fast!!
fenix001 [56]

Answer:

C.

Step-by-step explanation:

The equation for the slope of a line is y2-y1/x2-x1, and both triangles have the same slope equation for their hypotenuse.

7 0
3 years ago
Read 2 more answers
Write an equation of the line containing the point (3,1) and perpendicular to the line 5x-3y=5
dusya [7]
Th answer is: y=-1/5x+8/5
7 0
3 years ago
Which expressions are equivalent to the one below?check all that apply. 21^x/3^x
mafiozo [28]
C and E and F are all the correct answers
7 0
3 years ago
Read 2 more answers
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