Mathematics, 01.10.2019 03:30 alyssamiller401

Based on the graph below, what is the solution of the equation f(x) = g(x)? graph of function f of x equals negative x plus 0.25 and graph of function g of x equals x squared plus 3 multiplied by x plus 2
a) x = −3.5 and x = −0.5
b) x = −2 and x = −1
c) x = −3.5 and x = 0.25
d) x = −2 and x = 0.25

just need to check, no explanation needed.

Answers: 2

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Answers

Hello :
f(x) = -x+0.25
g(x) = x²+3x+2
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f(-3.5) = 3.75

g(-3.5) = 3.75

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f(-0.5) =0.75
g(-0.5) = 0.75
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conclusion : answer : A) x = −3.5 and x = −0.5

Answer from: Timsters333

The answer is the option A

$x=-3.5\ and\ x=-0.5$

Step-by-step explanation:

we have

f(x)=-x+0.25 ------> equation A

$g(x)=x^{2} +3x+2$ -----> equation B

f(x)=g(x)

$-x+0.25=x^{2} +3x+2$

$x^{2} +3x+2+x-0.25=0$

$x^{2} +4x+1.75=0$

Find the x-intercepts of the quadratic equation

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2} +4x=-1.75$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2}+4x+4=-1.75+4$

$x^{2}+4x+4=2.25$

Rewrite as perfect squares

$(x+2)^{2}=2.25$

Square root both sides

x+2=(+/-)1.5

x=-2(+/-)1.5

x=-2+1.5=-0.5

x=-2-1.5=-3.5

Answer from: Quest

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

$\frac{ab}{bc} =\frac{ad}{ab}$

now, we can cross multiply

and we get

$ab\timesab=ad\times bc$

$ab^2=ad\times bc$

so, this could be step to prove it

Seth is using the figure shown below to prove pythagorean theorem using triangle similarity: in the

Answer from: Quest

What the heck don’t understand

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Based on the graph below, what is the solution of the equation f(x) = g(x)? graph of function f of...