MATHEMATICS HIGH SCHOOL

Factoring
3xsquared + 14x +20

Answers

Answer 1
Answer: The equation (3xsquared+ 14x + 20 = 0) has no real roots, so there are no factors made of only real numbers.

The factors are [ -7 plus and minus ( i x square root of 11 ) ]

" i " is the square root of -1 .

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Find the value of r so the line that passes through each pair of points has the given slope.40. In 1991, the federal minimum wage rate was $4.25 per hour. In 1997, it was increased to $5.15. Find the annual rate of change in the federal minimum wage rate from 1991 to 1997.

41. (6,2), (9,r), m=-1

42. (4,-5), (3,r), m=8

43. (5,r), (2,-3), m=4/3

44. (-2,7), (r,3), m=4/3

45. (1/2, -1/4), (r,-5/4), m=4

46. (2/3, r), (1,1/2), m= 1/2

47. (4,r), (r,2), m=-5/3

48. (r, 5), (-2, r), m=-2/9

Answers

Slope is rise over run.
40. the rise is $0.90 and the run is 6 years, so the annual rate of change is .9/6 = $0.15 per year
40) Final answer: $0.15 per year

For 41-48, find the difference between the given values of the same variable, then multiply by the slope and add/subtract from the variable whose second value is missing (sorry if that's confusing)
41. 9-6=3 => 3*(-1)=-3 => 2+3=-1
41) Final answer: r=-1
42. 4-3=1 => 1*8=8 => (-5)-8=-13
42) Final answer: r=-13
43. 5-2=3 => 3*(4/3)=4 => -3+4=1
43) Final answer: r=1
44. 7-3=4 => 4*(3/4)=3 (flip the slop to find x values) => -2-3=-5
44) Final answer: r=-5
45. (-1/4)-(-5/4)=4/4=1 => 1*(1/4)=1/4 (again flip the slope) => 1/2-1/4=1/4
45) Final answer: r=1/4
46. 1-(2/3)=1/3 => (1/3)*(1/2)=(1/6) (don't have to flip this time) => (1/2)-(1/6)=1/3
46) Final answer: r=1/3
For 47 and 48, I'll setup an equation for r
47. (4-r)*(-5/3)=r-2 => -20/3+(5r)/3=r-2 => -14/3+(5r)/3=r => -14/3=-(2r)/3 => -14=-2r => r=7
47) Final answer: r=7
48. (R-(-2))*(-2/9)=5-r => -2(r+2)/9=5-r => -(2r)/9-4/9=5-r => -(2r)/9=49/9-r => (7r)/9=49/9 => 7r=49 => r=7
48) Final answer: r=7

Hope I helped :)

suppose a coin is altered so that the probability of heads coming up is 1/5 what is the probability of tails coming up

Answers

Answer:

4/5 for tails

Step-by-step explanation:

1.8 Graphing Ordered Pairs: Practice!Write the ordered pair for each point.
A
1. A
2. B
3. C
4. D
5. E
6. F

Answers

A(2,4)
B(-1,2)
C(-3,-2)
D(2,0)
E(0,-4)
F(5,-4)

(6p + 4q)(-2p + 9q) simplify please help me with this

Answers

(6p + 4q)(-2p + 9q) =\n \n=-2p\cdot 6p + 9q\cdot 6p -2p\cdot 4q + 9q\cdot 4q=\n \n=-12p^(2)+54pq-8pq+36q^2=\n \n =-12p^(2)+46pq +36q^2
Well first you have to multiply using FOIL, so...
-12p² + 54qp -8qp +36q²
-12p² + 46qp + 36q² is the simplified answer
Hope that helps :)

If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?

a)
(0, –2)
b)
(1, –1)
c)
(2, 0)
d)
(3, 3)

Answers

Answer:

Option d) (3,3)

Step-by-step explanation:

A function f(x) and its inverse f^(-1) (x) are symmetrical with respect the right line y=x, then their point of intersection is when they cross the right line y=x. In the attached graph we draw the right line y=x, and the function f(x) crooses this line at the point (3,3), then this point is their intersection point.

Answer:

answer is d

Step-by-step explanation:

What is the measure of DC

Answers