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Ivenika [448]
2 years ago
15

F(x) = 4x4- 7x+ 8x3 g(x) = 2x4+ x+ 5x2 Find g(x)- f(x)

Mathematics
1 answer:
Andrej [43]2 years ago
5 0

Answer: -2x^4-8x^3+5x^2+8x

Step-by-step explanation:

f(x)=4x^4-7x+8x^3\\g(x)=2x^4+x+5x^2

g(x)-f(x)

(2x^4+x+5x^2)-(4x^4-7x+8x^3)\\= 2x^4+x+5x^2-4x^4+7x-8x^3\\=-2x^4-8x^3+5x^2+8x

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Write the equation for the line in the graph in y=mx+b form.
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The answer is number 3. y=(-2/3)x +5
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Using the tree diagram below, what is the probability of getting tails and an even number?
N76 [4]

Answer:

1/4

Step-by-step explanation:

Chances of getting tails out of all the numbers (including heads)

Totals numbers (including heads & tails): 12

Tails & Even Number: 3

3/12 simplified to 1/4

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1 year ago
3. Serena is the manager of the coffee shop. The amount of money she earns is represented by the equation = 21ℎ, where ℎ is the
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I don't think this can be answered without any information on Gabe
7 0
3 years ago
Read 2 more answers
Find the value of each variable<br> x= <br> y=<br> z=
zvonat [6]

Answer:

Step-by-step explanation:

A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.

Finding z

z^2 + z^2 = (24√2)                    Combine the left

2z^2 = 24^2 * 2                         Divide both sides by 2

2z^2/2 = 24^2/2

z^2 = 24^2                                 Take the square root of both sides

√z^2 = √24^2

z = 24

Finding x and y

The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.

Tan 60 = opposite over adjacent

sqrt(3) = Perpendicular / z                      Multiply both sides by z

z*sqrt(3) = perpendicular

The above calculation tells us the perpendicular is 24

z*sqrt(3) = 24                                           Divide by sqrt 3

z = 24/√3

z = 24/1.73

z = 8√3

Finding x

Use Pythagoras to determine x

Perpendicular^2 + (8√3)^2 = x^2

24^2 + 8^2*3 = x^2

576 + 192 = x^2

768 = x^2

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7 0
1 year ago
A set of raw paired sample data is given below. Convert this raw data into paired ranks, and calculate the value of the rs test
SOVA2 [1]

here is the data set for the complete question

x: 18 21 19 21 20 21

y; 2 14 5 6 18 18

Answer:

B. 0.652

Step-by-step explanation:

x   y   rank of x     rank of y   d         d²

18   2     1                1               0          0

21   14    4                4             0          0

19    5     2               2             0          0

21    6     4               3            1            1

20    18    3             5.5         -2.5      6.25

21     18    4             5.5          -1.5       2.25

∑d² = 8.5

rs = 1 - 6[∑di² + ∑m(m²-1)]/n(n²-1)

= 1 - 6[8.5 +{3(3²-10/12 + 2(2² - 1)/12}]/6(6²-1)

= 1 - 0.348

= 0.652

therefore option b is the right answer.

5 0
3 years ago
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