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svp [43]
3 years ago
7

Could anybody please help me on this one? I'm really stuck on this. 

Mathematics
1 answer:
san4es73 [151]3 years ago
7 0
( c^2 )^3 = 64 <=>(  c^2 )^3 = 4^3 <=> c^2 = 4 <=> c = 2 or c = -2.
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The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).
garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

f(x)=x^2+6x+3

g(x)=f(x-2)

g(x)=(x-2)^2+6(x-2)+3  (Replaced x in f with (x-2))

g(x)=x^2-4x+4+6x-12+3 (Used (x+b)^2=x^2+2bx+b^2 and distributive property)

g(x)=x^2-4x+6x+4-12+3 (Gathered like terms)

g(x)=x^2+2x-5  (Simplified)

The vertex of a parabola occurs at (\frac{-b}{2a},g(\frac{-b}{2a}).

Let's find \frac{-b}{2a} first.

\frac{-2}{2(1)}=-1

Now we can obtain g(\frac{-b}{2a}) which is g(-1) in this case:

g(x)=x^2+2x-5

g(-1)=(-1)^2+2(-1)-5

g(-1)=1-2-5

g(-1)=-1-5

g(-1)=-6.

The vertex is (-1,-6).

6 0
3 years ago
at the market, a housewife bought 2 kilograms of eddoes at $5 per kilogram and 5 kilograms of chicken at $10 per kilogram. she p
madam [21]

Answer:

The total for the housewife's purchase should be 60 dollars. So it should be the vender who owes her money. The vender owes her 15 dollars.

Step-by-step explanation:

$5 = 1kg (eddoes) meaning a total of 2kg eddos =$10

$10 = 1kg (chicken) meaning a total of 5kg chicken = $50

When added together, it'd be 60 dollars.

(I'm not sure if you maybe forgot a part of the question or only had this part)

4 0
2 years ago
The equation x^2+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real roots.
Lisa [10]

Step-by-step explanation:

For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,

b^2 - 4ac must be positive.

b^2 - 4ac > 0

(k - 3)^2 - 4(3 - 2k) > 0

k^2 - 6k + 9 - 12 + 8k > 0

k^2 + 2k - 3 > 0

4 0
2 years ago
$150 for repair, $50 per week after repair to operate. X=#of weeks and y=total cost. Equate using slope-intercept form
Cloud [144]

Answer:

y=150+50x

Step-by-step explanation:

Given data

Repair= $150

weekly charge = $50

X=#of weeks and y=total cost.

Hence the expression in slope-intercept form is

y=150+50x

8 0
3 years ago
A, O and B lie on a straight line segment.
Dafna11 [192]

Answer:

x = 36

Step-by-step explanation:

the 3 angles form a straight angle and sum to 180°

sum the 3 angles and equate to 180

3x + x + x = 180 , that is

5x = 180 ( divide both sides by 5 )

x = 36

8 0
2 years ago
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