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IgorC [24]
4 years ago
9

What is the answer to p2+14p-38=0

Mathematics
2 answers:
zhuklara [117]4 years ago
7 0
2p+14p=38
16p = 38
p = 38/16
p = 2.375
kakasveta [241]4 years ago
6 0

Answer:

p = -7 ±√87

Step-by-step explanation:

p2+14p-38=0 would be clearer if written as p^2+14p-38=0:  use " ^ " for exponentiation.

Let's "complete the square" to solve this quadratic equation:

Taking half of the coefficient of the p term, which is 14, yields 7.

Squaring this result yields 49.

Add this 49 to p^2 + 14p and also add 49 to the right side, obtaining:

p^2 + 14p + 49 - 38 = 49

Rewriting p^2 + 14p + 49 as a perfect square, we get:

(p + 7)^2 = 87

Let's now find p.  Take the square root of both sides, obtaining

p + 7 = ±√87

Isolate p by subtracting 7 from both sides:

p = -7 ±√87

These are the "solutions" or "roots" or "zeros" of p^2+14p-38=0.

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nekit [7.7K]

Answer:

Both equation represent functions

Step-by-step explanation:

The function is the relation that for each input, there is only one output.

A. Consider the equation

y=-\dfrac{3}{5}x+2

This equation represents the function, because for each input value x, there is exactly one output value y.

To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.

When you intersect the graph of the function y=-\dfrac{3}{5}x+2 with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.

B. Consider the equation

y=x-x^2

This equation represents the function, because for each input value x, there is exactly one output value y.

When you intersect the graph of the function y=x-x^2 with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.

4 0
3 years ago
Select ALL the ratios that are equivalent to 8:6.
Marizza181 [45]

Answer:a

4:3

Step-by-step explanation: i hop this help

7 0
3 years ago
What is the inverse function of (x)=4x- x/6
pychu [463]
I hope this helps you




f (x)=4x-x/6



f (x)=23x/6


6.f (x)=23x


x=6.f (x)/23



f^-1 (x)=6.x/23
6 0
3 years ago
Find the area of the composite shape. Pls help due tomorrow
S_A_V [24]

Answer:

203 sq ft

Step-by-step explanation:

if you draw an imaginary line horizontally at the 11 feet mark you have a triangle sitting on top of a rectangle

Area (triangle) = 1/2 x base x height

A = 1/2 x 14 x 7

A = 7 x 7

A = 49

Area (rectangle) = length x width

A = 11 x 14

A = 154

Total Area = 49 + 154

203 sq ft

4 0
3 years ago
A parking garage charges a flat rate for the first hour plus $1.25 for each additional hour of parking. It costs $8.00 to park i
Akimi4 [234]

Find the flat rate:

1.25 x 4 = 5.00

8.00 -5.00 = 3

The flat rate is $3

The equation would be:

D. Y= 1.25x + 3

4 0
3 years ago
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