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3 years ago

If f(x)=3x^2 and g(x)=4x^2+1, what is the degree of (f0g)(x)

Mathematics

2 answers:

Oxana [17]3 years ago

5 0

Answer:

6⃣

Step-by-step explanation:

3 + 24x² + 48x⁶; take the highest degree term possible.

Umnica [9.8K]3 years ago

5 0

Answer:

degree 6

Step-by-step explanation:

To obtain (f ￮ g(x) substitute x = g(x) into f(x)

f(4x³ + 1)

= 3(4x³ + 1)²

= 3(16 $x^{6}$ + 8x³ + 1)

= 48 $x^{6}$ + 24x³ + 3

The degree is determined by the term with the largest exponent.

In this case 48 $x^{6}$ ← with exponent 6

Hence the polynomial is of degree 6

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When are two distinct lines parallel?

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if the line keeps going and theynever touch

Step-by-step explanation:

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2 years ago

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Words problems involving length and money

stiv31 [10]

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Step-by-step explanation:

Since 8 poster takes 48 inches of tape

48/8 = 6

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2 years ago

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Matt, the coordinator at the local emergency food hamper program, noticed the following trends: typically 200 hampers were distr

photoshop1234 [79]

Answer:

<em>793 food hampers were distributed</em>

Step-by-step explanation:

We need to find how many food hampers were distributed in a typical week, knowing that

200 hampers were distributed on Mondays

40 fewer hampers were distributed on Tuesdays than on Mondays, thus:

160 hampers were distributed on Tuesdays

on Wednesdays, the volume is 1.3 times Tuesday’s volume, thus 160*1.3=

208 hampers were distributed on Wednesdays

on Thursdays the number of hampers distributed was 3/4 of Monday’s volume, thus 3/4*200=

150 hampers were distributed on Thursdays

on Fridays, 50% of Thursday’s volume was distributed, therefore 50%*150=

75 hampers were distributed on Fridays

The total number of food hampers distributed in the week is

200+160+208+150+75=793

793 food hampers were distributed

4 0

3 years ago

20 POINTS!!! I GIVE BRAINLIEST PLEASE HELP!!!!A circle with a circumference of approximately 15.71 inches drawn inside a square,

Oksi-84 [34.3K]

answer:

5.002 inches

step-by-step explanation:

find the diameter of the circle
the diameter is the side length of the square since the sides of it are touching the circle

c = 2πr

c stands for circumference
π stands for pi (or 3.14)
r stands for radius

- plug in the values given to find the diameter

c = 2πr

15.71 = 2(3.14)r

15.71 = 6.28r

r = 2.501 (rounded or estimated)

now that we have the radius, we can find the diameter by multiplying by 2, since diameter is two times bigger than the radius

diameter = 5.002 (estimated)

now, that will be the side length because the diameter = the side length

3 0

2 years ago

Find the area. The figure is not drawn to scale

poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

$(hypotenuse)^2=(base)^2+(perpendicular)^2$

$(AB)^2=(BC)^2+(AC)^2$

$(10)^2=(8)^2+(AC)^2$

$100=64+(AC)^2$

$100-64=(AC)^2$

$36=(AC)^2$

take square root

$6=AC$

Then area of triangle ABC $=\frac{1}{2}\left(base\right)\left(altitude\right)$

$=\frac{1}{2}\left(8\right)\left(6\right)=24$

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

7 0

2 years ago