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AlexFokin [52]
3 years ago
14

Solving Equation Again... It is in the attachment! ☺

Mathematics
2 answers:
maw [93]3 years ago
7 0
-7p=-2-6p
7p=2+6p
p=2
Hope this helps :)

drek231 [11]3 years ago
5 0
_Award brainliest if helped!!

-7p = -2 -6p
-7p+6p = -2
p=2
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The equation for a parabola has the form y=????x2+????x+cy=ax2+bx+c, where ????a, ????b, and cc are constants and ????≠0a≠0. Fin
d1i1m1o1n [39]

The equation for this parabola satisfies

\begin{cases}a-b+c=9\\9a+3b+c=-19\\16a-4b+c=-12\end{cases}

(in other words, plug in each given point's coordinates (x,y) into the equation y=ax^2+bx+c)

Now,

(a-b+c)-(9a+3b+c)=9-(-19)\implies-8a-4b=28\implies2a+b=-7

(a-b+c)-(16a-4b+c)=9-(-12)\implies-15a+3b=21\implies5a-b=-7

and

(2a+b)+(5a-b)=(-7)+(-7)\implies7a=-14\imples a=-2

2(-2)+b=-7\implies b=-3

(-2)-(-3)+c=9\implies c=8

So the equation of the parabola is

y=-2x^2-3x+8

4 0
3 years ago
What is the least number of 6 digits​
leonid [27]

Answer:

100000

Step-by-step explanation:

The smallest 6 digit number is 100000

6 0
3 years ago
Read 2 more answers
Factor:<br> -4x²-32x - 28
Maru [420]

Answer:

28 = 1 x 28, 2 x 14, or 4 x 7. Factors of 28: 1, 2, 4, 7, 14, 28. Prime factorization: 28 = 2 x 2 x 7, which can also be written 28 = 2² x 7.

Step-by-step explanation:

5 0
4 years ago
Based on the graph below, what is the solution of the equation f(x) = g(x)?
zloy xaker [14]
<span><u><em>Answer:</em></u>
x = −4 and x = 1
<span>
<u><em>Explanation:</em></u>
<u>The two formula's given are:</u>
f (x) = -x+0.5 and g (x) = x²+3x-4

By graphing the two in a graphing tool or graph paper we can find the solutions by looking at <u>the points of intersection</u> and taking the x values of those two points of intersection.

<u>Looking at the graph below:</u>
x=-4 and x=1 are the solutions to the problem.</span></span>

3 0
3 years ago
The formula κ​(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a​ twice-differentiable plane curve as a function of x. Use thi
Katyanochek1 [597]

Answer:

K(x) =  \frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }    ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) = -5x^2

first Determine the value of F'(x)

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next we Determine the value of F"(x)

F"(x) = \frac{d(-10x)}{dy}

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

K(x)  = \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }

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6 0
4 years ago
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