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stich3 [128]
2 years ago
10

Is the graph increasing, decreasing, or constant?

Mathematics
1 answer:
Nadya [2.5K]2 years ago
3 0
B. increasing
explanation from left to right, the graph is steadily increasing
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Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
UkoKoshka [18]

Solution

f(x) = -20x^{2} +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = \frac{f(x)}{g(y)}

(f/g)(x) = \frac{-20x^{2}+14x +12 }{5x - 6}

<u>Step 1: </u>Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6                  

f(x) = -2(2x + 1) (5x - 6)

<u>Step 2: </u>Plug in the factors

(f/g)(x) = \frac{-2 (2x +1)(5x - 6)}{(5x - 6)}

<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

4 0
2 years ago
Write an equation for the ordered pairs (0,5) (1,0)
Phoenix [80]
M=0-5/1-0
m=-5/1=-5
y-y1=m*(x-x1)
y-5=-5(x-0)
y-5=-5x
y=-5x+5
7 0
3 years ago
There are five cars in line at a stoplight. Each of these cars is a different color and different type of car. Diego is driving
adell [148]
Ok, here we go:
5 cars total.
1. Rachel - first car in line, yellow, SUV
2. blue car (Rachel is in front of the blue car), convertible, Anton
3. minivan - third car in line, Diego
4.  white car, sedan, Ingrid
5. green car, immediately behind white car, Yuna, pickup


We know that Rachel is first, a blue car is second and the minivan is third.  We know that 3, 4 cannot be a convertible since one is a minivan and the other is a sedan.  We also know that a yellow car is in front of the convertible. 

Based off of that we know that car 5 cannot be a convertible since 4 is white and not yellow. So 1 or 2 is the convertible and SUV.  But we know that Rachel is in front of a blue car and the yellow car is in front of a convertible so that makes car #2 the blue convertible and car #1 the yellow SUV. 

Fill in what you do know and start to eliminate the outliers.  Hope that helps.

8 0
3 years ago
5x+9=2x+7+3x-15
andrew11 [14]

Answer:

No Solutions

Step-by-step explanation:

Step 1:

5x + 9 = 2x + 7 + 3x - 15  Equation

Step 2:

5x + 9 = 5x - 8   Add and Subtract

Step 3:

9 = - 8    Subtract 5x on both sides

Answer:

9 ≠ - 8       9 cannot equal - 8

Hope This Helps :)

3 0
3 years ago
Read 2 more answers
I need help understanding how to do the problem
notsponge [240]
So.. if you notice the picture below

is really just 3/4 of a cylinder, or, a full cylinder, and then you slice 1/4 off of it
notice the right-angle in your picture at the bottom, is cut at a right-angle, meaning, the cutout is 1/4 of the volume

so \bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2 h\qquad &#10;\begin{cases}&#10;r=radius\\&#10;h=height&#10;\end{cases}\qquad \frac{3}{4}\textit{ of that}\implies \cfrac{3}{4}\cdot \pi r^2 h

4 0
3 years ago
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