MATHEMATICS HIGH SCHOOL

Which of the following quadratic equations has no real solutions?A 3x2 + 12x + 12 = 0
B 3x2 – 3x - 18 = 0
3x2 + 2x + 1 = 0
D
3x2 – 3 = 0

Answers

Answer 1
Answer:

Answer:

C. 3x^2 + 2x + 1

Step-by-step explanation:

A. 12^2 - (4*3*12) = 0 (there's one solution.)

B. (-3)^2 - (4*3*-18) = 255 (there're 2 real solutions.)

D. 3^2 - (4*0*-3) = 9 (there're 2 real solutions.)

C. 2^2 - (4*3*1) = -18 ✅✅

if b^2 - 4ac = negative then we can say that there isn't any real solution for the equation.

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A set of data includes 101 data points ranging from 0 – 200. If the data is split into classes with a range of 20 (1 – 20, 21 – 40, etc), and there are no values that fall in the class 101 – 120, what can you say about the data?A.The mean of the data will not be between 101 and 120.B. All the data lies below 100.C. The relative frequency of the class 101 – 120 is 0.D. The median could be in the range 101 – 120.
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In which quadrant is the abscissa positive and the ordinate negative? A) I B) IIC) III D) IV

at trace state park in mississippi, there is a 40 mile mountain bike trail. tommy rode 1/2 of the trail on saturday and 1/5 of the trail on sunday. he estimates that he rode more than 22 miles over the two days. is tommy's estimate reasonable?

Answers

Yes it is reasonable because he rode half of the trail on Saturday which was 20 miles, then 1/5 of the trail on Sunday which was 8 miles for a total of 28 miles. Thus he rode more then 22 miles over the two days and making his estimate plausible. 

The third term of an arithmetic sequence is 21, and the eighth term is 56. The first term is _____.

Answers

Term for an AP =  a  + (n-1)d.

The third term =  a + (3 -1)d = a + 2d = 21

The eight term =   a  + (8 - 1)d = a + 7d = 56


a + 2d = 21
-
a + 7d = 56
__________ 
0  -5d  =  -35
 
-5d = -35

d = -35/-5

d = 7

Substitute d = 7 in a + 2d = 21

a + 2d = 21
a + 2*7 = 21
a + 14 = 21
a = 21 - 14
a = 7

The first term, a = 7.
 

Change the fraction 1/5 to a percent

Answers


A fraction is a short way to write a division problem.

Whenever you see a fraction, it means

           (the top number) divided by (the bottom number).

When you pick up your pencil or your calculator and actually do the
division, the answer to the division is the decimal form of the fraction.

To change that fraction  1/5  to a decimal, divide  1  by  5 .

Then, to change the decimal to a percent, move the
decimal point 2 places that way ==>.

What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3. 3x - y - 7 = 0
x - 3y + 7 = 0
x - 3y - 7 = 0

Answers

Hello,

y+2=1/3*(x-1) ==>3y+6=x-1==>x-3y-7=0

Answer C

Find the constant of variation k for the direct variation. A . K = -2

B . K = 2

C . K = -0.5

D . K= -1.5

Answers

Answer:

K = -2

Step-by-step explanation:

If y varies directly as x, k (constant) can be found by dividing the y-coordinate by the x-coordinate.

k = (2)/(-1) = -2

Answer:

B

Step by step explanation

Convert the number below from exponential to standard notation.6(104) + 4(103) + 8(102) + 1(101) + 7(100)

6,481,700
648.17
648,170
64,817

Answers

6(10^4) + 4(10^3) + 8(10^2) + 1(10^1) + 7(10^0)\n\n = 6(10,000) + 4(1,000) + 8(100) + 1(10) + 7(1)\n\n=60,000 + 4,000 + 800 + 10 + 7\n\n = \boxed{\bf{64,817}}

Your answer is D.
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