MATHEMATICS HIGH SCHOOL

Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing? (–∞, 1.5)

(–∞, 10.25)

(1.5, ∞)

(10.25, ∞)

Answers

Answer 1
Answer: The answer for this question is (-infinity,1.5) because
when f(x) is increasing f'(x)  > 0
-2x + 3 > 0
-2x > -3
 x< 3/2 or 1.5
Answer 2
Answer:

Answer:

A.

Step-by-step explanation:

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If angle 1 and angle 7 are vertical angles and angle 1 and angle 2 are supplementary adjacent and the measure of angle 2 is 123 degrees. what is the measure of angle 7?

Answers

Answer:  m∡7 = 57° .
_________________________________

Explanation:
____________________
 m∡7 = m∡1 ;  SInce  these angles are vertical; and vertical angles are congruent.

m∡1 + m∡2 = 180 ; since these angles are supplementary; and by                                            definition; supplementary angles "add up" to 180.

Given: m∡2 = 123 ;  

m∡1 + 123 = 180 ;

Since m∡1 = m∡7 ; and we wish to find: "m∡7" ;  we can rewrite as:
_______________________________
m∡7 + 123 = 180 ; solve for "m∡7" ;
_______________________________
Subtract "123" from EACH SIDE of the equation:
_________________________________________
  m∡7 + 123 - 123 = 180 - 123 ;
_________________________________________
  m∡7 = 57° .
_________________________________________

Y-6 = 4(x + 10)This linear function is written in point-slope form. What
is the given point (*1, y1)?

Answers

The answer I gave you is for x.

A+b+c+d=770
a+b=c+d
a-b=49
c-d=211
Find numbers.

Answers

a+b = c+d
a+b = 770/2    ( a+b+c+d = 770)
a+b = 385
c+d = 385

a+b+a-b = 385+49
         2a  = 434
           a  = 434/2
           a  = 217
 a-b=49
217-49= b
b         = 168

c+d+c-d = 385+211
         2c = 596
           c = 596/2
           c = 298

c-d = 211
c-211= d
298-211 = d
           d  = 87

Therefore, a=217, b=168, c=298, d=87

10x -2y = 10 in slope intercept form

Answers

slope-intercept form: y = mx + b   
the point is to get y alone on one side of the equation:

10x - 2y = 10
-10x         -10x
-2y = -10x + 10
-2y/-2 = -10x/-2 + 10/-2
y = 5x - 5

Which number are greater than
0.6 0.39 0.07 0.8 0.69 0.17

Answers

Let's turn them in to fractions.

0.6\quad 0.39\quad 0.07\quad 0.8\quad 0.69\quad 0.17\n \n 0.6=\quad \frac { 6 }{ 10 } =\frac { 60 }{ 100 } \n \n 0.39=\frac { 39 }{ 100 } \n \n 0.07=\frac { 7 }{ 100 } \n \n 0.8=\frac { 8 }{ 10 } =\frac { 80 }{ 100 } \n \n 0.69=\frac { 69 }{ 100 } \n \n 0.17=\frac { 17 }{ 100 }

\frac { 60 }{ 100 } \quad ,\quad \frac { 39 }{ 100 } \quad ,\quad \frac { 7 }{ 100 } \quad ,\quad \frac { 80 }{ 100 } \quad ,\quad \frac { 69 }{ 100 } \quad ,\quad \frac { 17 }{ 100 } \n \n \frac { 80 }{ 100 } >\frac { 69 }{ 100 } >\frac { 60 }{ 100 } >\frac { 39 }{ 100 } >\frac { 17 }{ 100 } >\frac { 7 }{ 100 }

Turn back into decimals again.

0.8>0.69>0.6>0.39>0.17>0.07

I believe its this because you didnt make enough space...

 

 Let's turn them in to fractions.





Turn back into decimals again.

What times what equals 24 and sums to 11

Answers

xy = 24
x + y = 11

  x + y = 11
- x        - x       
y = -x + 11
                              

                              xy = 24                   
                   x(-x + 11) = 24               
               x(-x) + x(11) = 24                     
                     -x² + 11x = 24                             
                            - 24  - 24
              -x² + 11x - 24 = 0
-1(x²) - 1(-11x) - 1(24) = 0
         -1(x² - 11x + 24) = 0
                     -1             -1
               x² - 11x + 24 = 0
          x² - 8x - 3x + 24 = 0
x(x) - x(8) - 3(x) + 3(8) = 0
         x(x - 8) - 3(x - 8) = 0
                (x - 3)(x - 8) = 0
    x - 3 = 0    or    x - 8 = 0
      + 3 + 3             + 8 + 8
        x = 3       or       x = 8

  x + y = 11
  3 + y = 11
- 3         - 3
        y = 8
  (x, y) = (3, 8)

  x + y = 11
  8 + y = 11
- 8         - 8
        y = 3
  (x, y) = (8, 3)

The two numbers that add up to 11 and multiply to 24 are 8 and 3.
Ok since _x_=24+11 well lets rephrase the equation _x_+11=24 so lets find _ and _ we can find it easily by subtract 24-11=13 but if you multiply 13x1= 13 add 13+1 = 24 your answer would be 13,1
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