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3 years ago

Mary is five times as old as Fred. In three years Mary will be 4 times as old as Fred. Find their present ages?

Mathematics

1 answer:

igomit [66]3 years ago

5 0

ans

here let mary age be x and fred be y

1st equation

x= 5y

2nd equation

x+3 =4(y+3)

now from 1st equation putting value of x in equation 2

x+3 = 4y+12

5y+3 = 4y +12

y = 9

so fred is 9 and mary is 45

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8090 [49]

Answer:

Step-by-step explanation:

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2 years ago

F(x) = 2x + 3g(x) = 2x² + 6x + 13Find: (gºf)(x)

Butoxors [25]

Answer:

The function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

Explanation:

Given the functions;

$\begin{gathered} f(x)=2x+3 \\ g(x)=2x^2+6x+13 \end{gathered}$

Solving for the function;

$(g\circ f)(x)=g(f(x))$

so, we have;

$\begin{gathered} g(f(x))=2(f(x))^2+6(f(x))+13 \\ g(f(x))=2(2x+3)^2+6(2x+3)+13 \\ g(f(x))=2(4x^2+12x+9)^{}+6(2x)+6(3)+13 \\ g(f(x))=8x^2+24x+18^{}+12x+18+13 \\ g(f(x))=8x^2+24x^{}+12x+18+18+13 \\ g(f(x))=8x^2+36x+49 \end{gathered}$

Therefore, the function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

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8 months ago

Will give brainliest

Anna [14]

Answer: 23.5

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2 years ago

Evaluate -32 + (2-6)(10).

Sergio039 [100]

Answer:

-72

Step-by-step explanation:

-32 + (2-6)(10).

PEMDAS

parentheses first

-32 + -4*10

Then multiply

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Then subtract

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2 years ago

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A boat sails for 5 hours at 30 mph in a direction 164°56'. How far south has it sailed (to the nearest mile)?

Valentin [98]

Total distance covered = 5 x 30 = 150 miles
Angle of travel with respect to south pole = 180 - 164°56' = 15°4'

Let the distance southwards covered be x, then
cos 15°4' = x/150
Thus, x = 150 cos 15°4' = 144.84

Therefore, the distance covered southwards = 145 miles to the nearest mile.

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3 years ago