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3 years ago

Find the sum: (3x^2 + 5x − 8) + (5x^2 − 13x − 5)

Mathematics

2 answers:

Andrej [43]3 years ago

7 0

Answer:

Step-by-step explanation:

Given

(3x² + 5x - 8) + (5x² - 13x - 5) ← remove the parenthesis

= 3x² + 5x - 8 + 5x² - 13x - 5 ← collect like terms

= 8x² - 8x - 13 → C

den301095 [7]3 years ago

6 0

Answer:

C. $\displaystyle 8x^2 - 8x - 13$

Step-by-step explanation:

All you are doing is combining like-terms:

$\displaystyle 8x^2 - 8x - 13 = [3x^2 + 5x - 8] + [5x^2 - 13x - 5]$

I am joyous to assist you anytime.

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Mary picks 15 flowers from her garden. If 3 out of 5 flowers are yellow how many yellow flowers does Mary pick

Artemon [7]

3*3::5*3So, she picked 9 yellow flowers.

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3 years ago

Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls

murzikaleks [220]

Answer:

a) 0.73684

b) 2/3

Step-by-step explanation:

part a)

$P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)}$

Using conditional probability as above:

(A,B,C)

Cases for numerator when:

P( A is 1 and exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1)

= $(\frac{1}{6}* \frac{11}{12}*\frac{1}{4}) + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) = 0.048611111$

Cases for denominator when:

P( Exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1) + P(not 1, 1 , 1)

$= (\frac{1}{6}* \frac{11}{12}*\frac{1}{4}) + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) + (\frac{5}{6}*\frac{1}{12}*\frac{1}{4})= 0.0659722222$

Hence,

$P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)} = \frac{0.048611111}{0.06597222} \\\\= 0.73684$

Part b

$P ( B = 12 / A+B+C = 21) = \frac{P ( B = 12 and A+B+C = 21)}{P (A+B+C = 21)}$

Cases for denominator when:

P ( A + B + C = 21) = P(5,12,4) + P(6,11,4) + P(6,12,3)

$= 3*P(5,12,4 ) =3* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{96}$

Cases for numerator when:

P (B = 12 & A + B + C = 21) = P(5,12,4) + P(6,12,3)

$= 2*P(5,12,4 ) =2* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{144}$

Hence,

$P ( B = 12 / A+B+C = 21) = \frac{\frac{1}{144} }{\frac{1}{96} }\\\\= \frac{2}{3}$

4 0

3 years ago

What is the line of SYMMETRY for they PARABLLA who’s equation is y=3x2+24x-1?

Arada [10]

Answer

The line of symmetry x = -4

Step by step explanation

Here we have to use the formula.

The symmetry of a parabola x = -b/2a

Now compare the given equation y = 3x^2 + 24x -1 with the general form y = ax^2 + bx + c and identify the value of "a" and "b"

Here a = 3 and b = 24. Now plug in these values in to the formula to find the line of symmetry.

x = -24/ 2(3)

x = -24/6

x = -4

Therefore, the line of symmetry x = -4.

Thank you.

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3 years ago

Complete the equation of the line whose slope is -2 and y-intercept is (0,3)<br><br> Please help!

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It’s a no solution problem

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3 years ago

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Maru [420]

Correct Answer: 0.0625

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3 years ago