Which system of equations below has infinitely many solutions

Mathematics

2 answers:

borishaifa [10]3 years ago

5 0

We get an infinite number of solutions when we have equivalent equations, for example equations that a scalar multiples of each other. That's not going to happen for two equations in slope intercept form unless all the terms are the same. None of those on this list.

So we're left with the second choice, and clearly the second equation is three times the first, with the same solution set, all the points along the line.

Answer: Second choice y=-3x + 4 and 3y = -9x + 12

Anuta_ua [19.1K]3 years ago

3 0

Answer:

the first one

i think sorry if im wrong thats what i got

Step-by-step explanation:

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Given functions f(x)=3x^2, g(x)= x^2-4x+5, and h(x)=-2x^2+4x+1<br> Rank them from least to greatest

Sindrei [870]

Ok, ranked by axis of symmetry

basically x=something is the axis of symmetry
the way to find the axis of symmetry is to convert to vertex form and find h and that's the axis of symmetry

but there's an easier way

for f(x)=ax^2+bx+c
the axis of symmetry is x=-b/2a
nice hack my teacher taught me

so

f(x)=3x^2+0x+0
axis of symmetry is -0/(3*2), so x=0 is the axis of symmetry for f(x)

g(x)=1x^2-4x+5,
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axis of symmetry is -4/(2*-2)=-4/-4=1, x=1 is the axis of symmetry for h(x)

0<1<2
axisies
f(x)<h(x)<g(x)

order based on their axises of symmetry is f(x), h(x), g(x)

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Nataly_w [17]

Answer:

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(If there is any more you would like to add to the question I can answer that.)