3 years ago

What are the zeros of 3x squared-5x+2?

Mathematics

1 answer:

vodomira [7]3 years ago

5 0

3x² - 5x +2 = 3x² -3x-2x+2=3x(x-1) - 2(x-1)= (x-1)(3x-2)

(x-1)(3x-2)=0

x-1=0 or 3x-2=0

x=1 or x=2/3

Zeros are x=1, x=2/3.

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A ship traveled for a total of 147 miles over the course of 8 hours. Heading south, the ship traveled at an average speed of 15

Cloud [144]

Alright

s=number of hours headd south
e=number of hours headed east

s+e=8

and
total is 147 miles
distance=speed times time
15s+24e=147

we got 2 equations

s+e=8
15s+24e=147
subsitution

s+e=8
minus e both sides
s=8-e
subsitut 8-e for s in other equaton

15s+24e=147
15(8-e)+24e=147
120-15e+24e=147
120+9e=147
minus 120 both sides
9e=27
divide both isdes by 9
e=3

sub back
s=8-e
s=8-3
s=5

it was headed south 5 miles

6 0

3 years ago

Find ( f - g)(x).<br><br> f (x) = -2x2 - 2x - 3 and g(x) = 3x2 - 4x - 4

Kruka [31]

Answer:

$\large\boxed{(f-g)(x)=-5x^2+2x+1}$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)\\\\\text{We have}\ f(x)=-2x^2-2x-3\ \text{and}\ g(x)=3x^2-4x-4.\\\\\text{Substitute:}\\\\(f-g)(x)=(-2x^2-2x-3)-(3x^2-4x-4)\\\\(f-g)(x)=-2x^2-2x-3-3x^2+4x+4\qquad\text{combine like terms}\\\\(f-g)(x)=(-2x^2-3x^2)+(-2x+4x)+(-3+4)\\\\(f-g)(x)=-5x^2+2x+1$