For what values of k does the equation x^2 - (5k+1)x + 9k^2 = 0 have real roots?

Answers

Answer 1

Answer: K has a range from[ -1/11 to 1]

Answer 2

Answer: real roots occur when the determinant b^2-4ac >= 0

so substituting:-

(5k + 1)^2 - 4*1* (9k^2) >= 0
25k^2 + 10k + 1 - 36k^2 >= 0
-11k^2 +10k + 1 >= 0
11k^2 - 10k - 1 <= 0
(11k + 1)(k - 1) <= 0

the equation will have real roots for -1/11 =< k <= 1

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The temperature on Monday was 64.8 degrees and the temperature on Tuesday was 7.6 degrees warmer. The temperature on Tuesday was.....

Answers

Answer:

72.4

Step-by-step explanation:

Evaluate the function f(x)=7x+3 at the given values of the independent variable and simplifya. f(5) b. f(x+8) c. f(-x)

HELP

Answers

$f(x)=7x+3\n\nf(5)\ substitute\ 5\to x\n\nf(5)=7\cdot5+3=35+3=38\n\n\nf(x+8)\ substitute\ x+8\to x\n\nf(x+8)=7(x+8)+3=7x+56+3=7x+59\n\n\nf(-x)\ substitute\ -x\to x\n\nf(-x)=7\cdot(-x)+3=-7x+3$

What does m and b stand for in y=mx+b?

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B is where the line crosses the y axis

its called slope-intercept form. m is the slope where the lines cross and b is the y- coordinate of the y-intercept.

If x + y = 9, z + y = 12, and z + x = 11, what is the average (arithmetic mean) of x, y and z?

Answers

$x+y=9 \n z + y = 12 \n z + x = 11 \n x+y+ z + y+ z + x=9+12+11 \n 2x+2y+ 2z=32 \n x+y+ z=16$

HELP ME PLZ DUE SOON WILL GIVE BRAINLESTWhat is the slope of the line that passes through the points (2, 1)(2,1) and (17, -17) ?(17,−17)?

Write your answer in simplest form.

Answers

Answer:

if I read it right and it is just asking for the slope then -1.2 should be the answer

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