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ddd [48]
4 years ago
6

Is (3,6) A Solution To

Mathematics
1 answer:
AVprozaik [17]4 years ago
3 0
6=3\cdot3-3\\
6=9-3\\
6=6\leftarrow \text{true}\\\\
6=2\cdot3+2\\
6=6+2\\
6=8\leftarrow \text{false}\\\\

It isn't.
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What are the zeros of the polynomial function f(x) = x^3-10x^2+24x
Ludmilka [50]
Replace F(x) with y
y=x^3-10x^2+24x
To find the roots replace y with 0.
0=x^3-10x^2-24x
Rewrite the equation as
x^3-10x^2+24x=0
Factor the left side
x(x-6)(x-4)=0
The solution is a result of
x=0, x-6=0, and x-4=0

The answer is:
x=0, 6, 4
3 0
3 years ago
7 added to the product of 14 and f
Doss [256]
14f + 7

“Product” means multiplication, so we can assume 14 and f are being multiplied (14f.) Add that to 7, and you have an expression! Have a great day.
4 0
3 years ago
If f(1) = 10 and f(n) = f(n = 1) – 4 then find the value of f(5).
svetoff [14.1K]

Given:

f(1)=10 and f(n)=f(n-1)-4.

To find:

The value of f(5).

Solution:

We have,

f(n)=f(n-1)-4

For n=2,

f(2)=f(2-1)-4

f(2)=f(1)-4

f(2)=10-4

f(2)=6

For n=3,

f(3)=f(3-1)-4

f(3)=f(2)-4

f(3)=6-4

f(3)=2

For n=4,

f(4)=f(4-1)-4

f(4)=f(3)-4

f(4)=2-4

f(4)=-2

For n=5,

f(5)=f(5-1)-4

f(5)=f(4)-4

f(5)=-2-4

f(5)=-6

Therefore, the value of f(5) is -6.

5 0
3 years ago
Find the unpaid balance on the debt after 5 years of monthly payments on $190,000 at 3% for 25 years
NNADVOKAT [17]

Answer:

$114,000

Step-by-step explanation:

Use formula

I=P\cdot r\cdot t,

where

I = interst

P = principal

r = rate

t = time

First, find the interst for 25 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 25

I_{25}=190,000\cdot 0.03\cdot 25=142,500

Now find the interest for 5 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 5

I_5=190,000\cdot 0.03\cdot 5=28,500

The unpaid balance is

I=I_{25}-I_5=142,500-28,500=114,000

6 0
3 years ago
Josh is hiking glacier national park. He has now hiked a total of 17km and is 2km short of being 1/2 of the way done with his hi
Alla [95]

Answer: The total length in kilometers is 38 km


Step-by-step explanation:


17 + 2 = 19 km is 1/2 of the total length, that is,


19 = (1/2)h


(1/2)h = 19 multiply both sides by 2


h = 2*19


h = 38 km

5 0
3 years ago
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