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2 years ago

Simplify 2x + x o 2x2 3x O 3x²

Mathematics

1 answer:

DochEvi [55]2 years ago

4 0

Answer:

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 2 • 2 = 4

Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is 3 .

-4 + -1 = -5

-2 + -2 = -4

-1 + -4 = -5

1 + 4 = 5

2 + 2 = 4

4 + 1 = 5

Observation : No two such factors can be found !!

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The graph below is the graph of a function:

arlik [135]

Answer:

Step-by-step explanation:

4 0

2 years ago

Find the volume of the compound shape.

jeyben [28]

<h3>Given:</h3>

Hemisphere ×2 or sphere
Cylinder

<h3>Solution:</h3><h3>Volume of the sphere:</h3>

$v = \frac{4}{3} \pi {r}^{3}$

$v = \frac{4}{3} \times \pi \times {2}^{3}$

$v = 33.51 \: {m}^{3}$

<h3>Volume of the cylinder:</h3>

$v = \pi {r}^{2} h$

$v = \pi \times {2}^{2} \times 6$

$v = 75.40 \: {m}^{3}$

<h3>Total volume:</h3>

$v = 75.40 + 33.51$

$v = 108.91 \: {m}^{3}$

Hence, the volume of the given compound shape is 108.91 cubic meters.

4 0

1 year ago

Read 2 more answers

Using algebra, solve the inequality writing your answer in set notation. x²-x> 20

Xelga [282]

Answer:

(-4, 0) U (1, ∞)

Step-by-step explanation:

Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).

x = 0 x-1 = 0 x + 4 = 0

x = 1 x = -4

Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.

far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0 → (-)(-)(-) > 0 → negative > 0 FALSE

- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0 → (-)(-)(+) > 0 → positive > 0 TRUE

0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0 → (+)(-)(+) > 0 → negative > 0 FALSE

far right (I choose 2): 2(2 - 1)(2 + 4) > 0 → (+)(+)(+) > 0 → positive > 0 TRUE

3 0

5 months ago

Determine how many zeros, how many real or complex, and find the roots for f(x) = x3 − 5x2 − 25x + 125.

miskamm [114]

We can write this as:-

P(x) = + x^3 - 5x^2 - 25x + 125
There are 2 changes of real sign so by Descartes Rule of signs there are either 2 positive real roots or 0 positive roots.

P(-x) = - x^3 - 5x^2 + 25x + 125
There is just one change of sign so there is exactly 1 real negative root.

125 is a multiple of 5 so By rational root theorem 5 could be a positive root.

P(5) = 125 - 125 - 125 + 125 = 0 so one zero is 5
if we divide the polynomial by (x - 5) we get the quadratic
x^2 - 25
(x + 5)(x - 5) = 0

x = 5,-5

so the roots are 5 (multiplicity 2) and -5.
2 real positive zeroes and one real negative zero

7 0

2 years ago

G(t)= t^2 + 3 h(t) = 4t – 3 Find (g · h)(-1)

MArishka [77]

Answer:

fifty-two. Explanation: g(h(−1 ))=g(x). x=h(−1)=4(−1)−3=−4−3=−7. g(x)= g(−7)=72+3=49+3=52.

6 0

2 years ago