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3 years ago

If x and y vary inversely, and X=3 when y=16 . Find y when x=6

Mathematics

1 answer:

amid [387]3 years ago

6 0

Answer:

y=32

Step-by-step explanation:

x=3•2=6

x=3 and 6

y=16•2=32

y=16 and (32)

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Find a degree 3 polynomial P such that P(−1) = −3, P(0) =−2, P(1) = −1, and P(2) = 6.

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

let polynomial P(x)=ax³+bx²+cx+d

-3=-a+b-c+d

-2=d

-1=a+b+c+d

-1=a+b+c-2

a+b+c=1

-3=-a+b-c-2

a-b+c=1

a+b+c-(a-b+c)=1-1=0

2b=0

b=0

so a+c=1

6=8a+4b+2c+d

6=8a+4b+2c-2

8a+4b+2c=8

4a+2b+c=4

or 4a+0+c=4

4a+c=4

a+c=1

subtract

3a=3

a=1

1+c=1

c=0

reqd .P(x)=1x³-2=x³-2

6 0

3 years ago

Male Color Blindness

marishachu [46]

Answer:

About 0,3? Could go higher but the middle answer ( highest probability) is correct to me.

Step-by-step explanation:

7 0

3 years ago

Area of Composite Figures

AlekseyPX

Answer:

1) 147

2) 87 $m^{2}$

Step-by-step explanation:

1) Area of triangle = × base length × height

= $\frac{1}{2}$ × 14 × 10

= 70 $m^{2}$

Area of a semicircle = $\frac{\pi r^{2} }{2}$ ( r is the radius)

Radius = half of diameter = $\frac{14}{2}$ = 7m

Area of semicircle = $\frac{\pi 7^{2} }{2} = \frac{\pi49 }{2}$

= 77 $m^{2}$ ( Nearest whole number )

Total area = 77 + 70 = 147 $m^{2}$

2) Divide the shape into 2 rectangles

Area of a rectangle = length × width

Rectangle 1 = 7 × ( 3+3+5 )

= 7 × 11 = 77 $m^{2}$

Rectangle 2 = 2 × 5

= 10 $m^{2}$

Total Area = 77 + 10 = 87 $m^{2}$

8 0

3 years ago

Read 2 more answers

If f(x) = 3x²-4 and g(x) = x+2, find (f - g)(x).

Sergeeva-Olga [200]

Answer:B

Step-by-step explanation:

5 0

2 years ago

a pair of socks costs $5.00. a package of 3 pairs costs $12.00. how much would you save if you buy 2 packages instead of 6 indiv

svp [43]

you will save 6 dollars If you buy 2 packages, instead if 6 individual pairs.

7 0

4 years ago