MATHEMATICS HIGH SCHOOL

find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.

Answers

Answer 1

Answer:

Answer:

√3, and -√3

Step-by-step explanation:

to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x

x²-3=0 add 3 to both sides to isolate x

x² = 3 squareroot both sides

√x²= √3

x= ±√3 are the two zeros

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A number cube is rolled, and a coin is tossed. What is the probability that a four is rolled and the coin comes up tails? A. 1over3, B.1over4, C.1over6, D.1over12

Answers

Probability of a dice rolling a 4 = 1/6
Probability of a coin coming up tails = 1/2

now we multiply the two probabilities together to find what the probability of BOTH occurring at the same time is.
1/6 × 1/2 = 1/12
Answer is D. 1 over 12

Answer:

D. 1/12 is the answer

Step-by-step explanation:

the probability of rolling a 4 is 1/6, and the probability of flipping tails is 1/2. If you multiply 1/2 and 1/6 you get 1/12.

The minimum ﬁne for driving in excess of the speed limit is $25. An additional $6 is added to the minimum ﬁne for each mile per hour (mph) in excess of the speedlimit. Rachel was issued a $103 ﬁne for speeding in a 55-mph speed limit zone. For driving at what speed, inmph, was Rachel ﬁned?

Answers

Let the excess speed limit be y.

According to your question,

25 + 6y = 103

6y = 103 - 25 = 78

y = 78/6 = 13

Thus, the excess speed was 13 mph.

Thus, speed of Rachel = 55 + 13 = 68mph

Thus, Rachel was driving at 68 mph.

If 9 is subtracted from two-thirds of a number, the result is 7. find the number. the number is 3 the number is 10.67 the number is 24

Answers

2x/3 - 9 = 7

2x/3 = 16

2x = 48

x = 24

If Saturn's mass is 5.685 · 10^26 kilograms and Mercury's is 3.302 · 10^23 kilograms Approximate how many times greater Saturn's mass is than Mercury's.?

Answers

do the division
(5.685 * 10^26) / (3.302*10^23)

= 1.722 * 10^3

or 1722 times greater

Which expressions, when evaluated with z = 8, are negative in value?Choose all answers that are correct.

A.

–2z – 14

B.

–25 + 4z

C.

–2z + 15

D.

30 – 3z

Answers

$z=8\n\nput\ the\ value\ of\$

To find out which equation is negative when you plug in z=8, then plug it in and find out! :D

A) –2z – 14 = -2(8)-14 = -16-14 = -30

-2x-14 is negative when z = 8. So A is one possible answer :)

B) –25 + 4z = -25 + 4(8) = -25 + 32 = 7

7 is positive when z = 8, so B is not a correct answer.

C) –2z + 15 = -2(8) + 15 = -16 + 15 = -1

-1 is negative when z 8, So C is another correct answer choice.

D) 30 – 3z = 30 - 3(8) = 30 - 24 = 6

6 is positive when z=8, So D is not a correct answer.

To summarize, your answer would be A and C.

what is the range of the function g(x) = |x – 12| – 2? {y | y > –2} {y | y > –2} {y | y > 12} {y | y > 12}