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Natasha_Volkova [10]
3 years ago
10

The line y = 7x - 2 has a slope of 7 and a y-intercept of (-2 ,0). TRUE OR FALSE.

Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0
The y int. is correct but you wrote it wrong it is (0, -2)
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1. Given line segment RB and on it is point C, if RB = 45 and CB = 3x - 12 and RC = 2x + 9, what is the value of x?
marshall27 [118]

Answer:

Step-by-step explanation:

1). If a point C is lying on a line segment RB,

   Then RB = RC + CB

   Since, RB = 45, CB = 3x - 12 and RC = 2x + 9

   45 = (2x + 9) + (3x - 12)

   45 = (2x + 3x) - 3

   48 = 5x

   x = \frac{48}{5}

   x = 9.6

2). Since, RC = 2x + 9

    RC = 2(9.6) + 9

          = 19.2 + 9

          = 28.2 units

3). Distance between the two points (x_1,y_1) and (x_2,y_2) is given by the formula,

  d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

  Distance between the points A(2, -2) and D(-2, 2) will be,

 AD=\sqrt{(2+2)^2+(-2-2)^2}  

         = \sqrt{16+16}

         = 4\sqrt{2}  

         = 5.657

         ≈ 5.66 units

7 0
3 years ago
Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using inte
Mashcka [7]

Answer:

f'(x) > 0 on (-\infty ,\frac{1}{e}) and f'(x)<0 on(\frac{1}{e},\infty)

Step-by-step explanation:

1) To find and interval where any given function is increasing, the first derivative of its function must be greater than zero:

f'(x)>0

To find its decreasing interval :

f'(x)

2) Then let's find the critical point of this function:

f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}[6-2^{2x}]=\frac{\mathrm{d} }{\mathrm{d}x}[6]-\frac{\mathrm{d}}{\mathrm{d}x}[2^{2x}]=0-[ln(2)*2^{2x}*\frac{\mathrm{d}}{\mathrm{d}x}[2x]=-ln(2)*2^{2x}*2=-ln2*2^{2x+1\Rightarrow }f'(x)=-ln(2)*2^{2x}*2\\-ln(2)*2^{2x+1}=-2x^{2x}(ln(x)+1)=0

2.2 Solving for x this equation, this will lead us to one critical point since x'  is not defined for Real set, and x''=\frac{1}{e}≈0.37 for e≈2.72

x^{2x}=0 \ni \mathbb{R}\\(ln(x)+1)=0\Rightarrow ln(x)=-1\Rightarrow x=e^{-1}\Rightarrow x\approx 2.72^{-1}x\approx 0.37

3) Finally, check it out the critical point, i.e. f'(x) >0 and below f'(x)<0.

8 0
3 years ago
There are 8 rows of tulips there are 5 rows of roses how much is it all together
Papessa [141]

Answer:

40 all together

Step-by-step explanation:

1. 8 rows of tulips and 5 rows of roses

2. 8*5=40

3. There are 40 flowers all together

3 0
3 years ago
10. Find the mean, median of the following data.
Mariana [72]

Answer:

A

Step-by-step explanation:

You find the mean by adding all the values then dividing that sum by the amount of values

You find the median by putting the numbers in order from least to greatest and then find the middle number.

4 0
3 years ago
Read 2 more answers
Urgent!!!
miss Akunina [59]

Answer:

The answer is C or 10, -5!

Step-by-step explanation:

Brainliest Please!

7 0
3 years ago
Read 2 more answers
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