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mihalych1998 [28]
4 years ago
5

F(x) =x^2+6x and g(x)=7-x find (f-g)(x) and (f-g)(9)

Mathematics
1 answer:
frez [133]4 years ago
7 0
F(x)=x²+6x
g(x)=7-x

(f-g)(x) means that f(x)-g(x), so
f(x)-g(x)
=x²+6x-7+x
Combining like terms
x²+6x+x-7
=x²+7x-7, so (f-g)(x)=x²+7x-7
Next,
(f-g)(x)
=x²+7x-7
(f-g)(9)
=(9)²+7(9)-7
=81+63-7
=144-7
=137, so (f-g)(9)=137. Hope it help!
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Given that MN = 5, NO = 12, and MO = 13, find cos O.
Galina-37 [17]

Answer:

12/13

Step-by-step explanation:

Given that MN = 5, NO = 12, and MO = 13, find cos O.

Since the reference angle is P, hence;

MN is the opposite = 5

MO is the hypotenuse = 13 (longest side)

NO is the adjacent = 12

Cos O = adj/hyp

Substitute the given values

Cos O = 12/13

Hence the value of Cos O is 12/13

8 0
3 years ago
For what value of k does the equation 6(x + 1) + 2 = 3(k5x + 1) + 3 have no solution?
NARA [144]

Answer:

k = (6/15)

Step-by-step explanation:

The equation is:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

To have no solutions, we need to have something like:

x + 7 = x + 4

where we can remove x in both sides and end with

7 = 4

So this equation is false, meaning that there is no value of x such that this equation is true, then the equation has no solutions.

First, let's try to simplify our equation:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

6*x + 6 + 2 = 3*k*5*x + 3*1 + 3

6*x + 8 = 15*k*x + 6

if 15*k = 6, then the system clerly has no solution.

then:

k = 6/15

then we get:

6*x + 8 = (6/15)*15*x + 6

6*x + 8 = 6*x + 6

8 = 6

The system has no solutions.

8 0
3 years ago
A bricklayer needs to order 6300kg of building sand.
worty [1.4K]

There are 1000 grams in a kg, so 6300x1000=6,300,000 grams

5 0
3 years ago
I need to know the answer
Firdavs [7]
It would be 115



180-65 = 115 and 180 comes from the straight line which is half of 360
8 0
3 years ago
Read 2 more answers
Solve 7 x - 15 = -2.
Arisa [49]
7x-15=-2 Move -15 to the rigjt side, 7x=-2+15 7x=13 Divide both sides by 7, 7x/7=13/7 x=13/7
6 0
3 years ago
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