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k0ka [10]
3 years ago
7

Given the definitions of f (x) and g(x) below, find the value of (gof)(-8).

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

(gof)(-8) = 210

Step-by-step explanation:

(gof) = (-x + 8)² - 3(-x + 8) = 2

        = x² - 16x + 64 + 3x - 24 + 2

        = x² - 13x + 42

(gof)(-8) = (-8)² - 13(-8) + 42

             = 64 + 104 + 42

             = 210

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Lin runs 8 laps around a track in 10 minutes.
PSYCHO15rus [73]
A) 1.25 minutes per lap- divide 10 by 8
B)0.8 laps or 4/5 per minutes- divide 8 by 10
C) 22.5 minutes- multiply 18*1.25
Those are three nest answers i can give, i’m not sure
7 0
3 years ago
Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possibl
Ede4ka [16]
<h3>Two answers: 5, 7</h3>

====================================================

Explanation:

A drawing may be helpful to see what's going on. Check out the diagram below. This is one way of drawing out the two triangles. The locations of the points don't really matter, and neither does the the orientation of how you rotate things. What does matter is we have the right points connected to form the segments mentioned.

----------

For now, focus on triangle TIP only. In order to have this be isosceles, we must make TP = 5 or TP = 7.

If TP = 5, then it's the same length as TI.

If TP = 7, then it's the same length as PI.

In either case, we have exactly two sides the same length (the other side different) which is what it means for a triangle to be isosceles.

----------

Let's consider triangle TOP. For it to be isosceles, we must have two sides the same length. We already locked in TP to be either 5 or 7 in the previous section above. So there's no way that TP could be 11 units long to match up with PO = 11.

If TP = 5, then OT must also be 5 units long so that triangle TOP is isosceles.

If TP = 7, then OT = 7 for similar reasoning.

Either way, TP only has two choices on what it could be.

----------

In short, we basically just write the first two values given to us to get the two triangles to be isosceles. We can't use TP = 11 as it would make triangle TIP to be scalene (all sides are different lengths).

7 0
3 years ago
A pair of jeans originally cost $80, but is on sale for 30% off. there is a coupon available for an additional 10% off of the sa
Lady_Fox [76]
30% = 0.3. 

0.3*80 = 24, so we know that 30% of 80 is 24. 

80 - 24 = 56, so after the sale, the price for a pair of jeans is $56.

10% = 0.1

0.1*56 = 5.6, so with the coupon, we get $5.60 off. 

56 - 5.60 = 50.40

The jeans cost $50.40 after the sale and the coupon. 
5 0
3 years ago
Log32- log 32-log 4. simplify​
Rufina [12.5K]

Answer:

huh

Step-by-step explanation:

...

..

.

.

.

.............

4 0
2 years ago
Not sure how I would solve this
suter [353]
<h3>Answers:</h3>

The first ordered pair is   ( -4 , -3 )

The second ordered pair is   ( 8, 3 )

=================================================

Explanation:

The first point is (x,-3) where x is unknown. It pairs up with y = -3 so we can use algebra to find x

x-2y = 2

x-2(-3) = 2 ... replace every y with -3; isolate x

x+6 = 2

x = 2-6

x = -4

The first point is (-4, -3)

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

We'll do something similar for the other point. This time we know x but don't know y. Plug x = 8 into the equation and solve for y

x-2y = 2

8-2y = 2

-2y = 2-8

-2y = -6

y = -6/(-2)

y = 3

The second point is (8, 3)

4 0
3 years ago
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