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lawyer [7]
3 years ago
10

Graph the functions and approximate an x-value in which the quadratic function exceeds the exponential function. y = 4x y = 7x2

+ 4x - 2
Mathematics
1 answer:
mel-nik [20]3 years ago
8 0
14x Is the answer Because 7 times two is fourteen and plus four (X) would be sixteen then subtracted by two so it would be 14x
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What is the equation of a line perpendicular to:
Nataly [62]

Step-by-step explanation:

"perpendicular" means it creates a right angle (90°) with the original line.

a key element is the slope (the incline) of the line.

it is the factor of x (here 1/4 for the original line) and is defined as the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

the given slope of 1/4 means that for every increase in x by 4 units y increases by 1 unit.

now if you want to draw a few random lines, and then draw lines that cross them with a right angle, you will see very quickly the relationship of the slopes of the crossing lines :

for the slope of the perpendicular line x and y of the original slope trade places (the ratio turns "upside-down") and the sign of the slope flips (if the original line goes up, then the perpendicular line goes down and vice versa. so + turns into -, and - into +).

so, our original slope 1/4 turns into -4/1 = -4.

we still have infinite possibilities to draw such a perpendicular line (more up or more down on the coordinate grid).

to finally "nail" one particular line we need to use the given point and solve for the y-intercept.

the general slope-intercept form is

y = ax + b

a is the slope, b is the y-intercept (the y value for x = 0).

so, using the slope (-4) and the point (2, 5) we have

5 = -4×2 + b = -8 + b

13 = b

so, the full equation is

y = -4x + 13

7 0
2 years ago
If y= (2x^2+x)^3 +(x-1) /(1-x). find dy dx​
Mrrafil [7]

Answer:

Step-by-step explanation:

y=(2x²+x)³+(x-1)/(1-x)

=(2x²+x)³+(x-1)/-(x-1)

=(2x²+x)³-1

dy/dx=3(2x²+x)(4x+1)-0

=3x(2x+1)(4x+1)

7 0
2 years ago
What are the y-intercept and the slope of the line represented in the graph?
sineoko [7]
Answer:

B

Explanation:

The y intercept can be read directly off of the graph, and is where the line intersects the y of the graph.

The slope (gradient) can be determined by using the equation y=mx+c, where we can substitute in the y intercept and an x and y value on the line.

y=mx+4

(2;0) is a point on the line, it is the coordinates of the x intercept (y intercept will work as well)

0=m(2)+4
m=-2
6 0
3 years ago
Read 2 more answers
An overhead projector enlarges the image on its glass by a scale factor of 4. A rectangle that is 3 inches wide and 7 inches lon
qwelly [4]
Just multiply the with and the length by four (considering the scale factor is 4)
3x4=12 and 7x4=28
6 0
3 years ago
Help asap
ehidna [41]
Angles A and B are exactly the same because
they are congruent angles

Hope This Helps!!!!!
4 0
3 years ago
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