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andrezito [222]
3 years ago
7

11.

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
7 0

Answer:

7 i think if wrong im so sorry

Step-by-step explanation:

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The function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)
makkiz [27]
\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2
\\\\\\
\textit{we also know that }
\begin{cases}
f(x)=96\\
x=4
\end{cases}\implies 96=k(4)^2\implies 96=16k
\\\\\\
\cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2}
\\\\\\
\textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2
3 0
3 years ago
Suppose you obtain a $1300 T note with a 9% annual rate paid monthly with Matt Trinity in six years how much interest will be pa
dolphi86 [110]

Answer:

2

Step-by-step explanation:

2

7 0
3 years ago
Read 2 more answers
I'VE ASKED THIS 4 TIMES ALREADY. DOUBLE POINTS PLEASE HELP!!!
astraxan [27]

Answer:

y=-3x-14

Step-by-step explanation:

y=mx +c

m= 1/3

perp m= -3

goes through point (6,-4)

sub numbers

7 0
2 years ago
Round Ed to the nearthest tenth and answer now question
Vikki [24]

Answer:

y = 9.1

Step-by-step explanation:

y can be found using the Law of sines as explained below:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Thus,

\frac{x}{sin(X)} = \frac{y}{sin(Y)}

\frac{8}{sin(58)} = \frac{y}{sin(106)}

\frac{8}{0.848} = \frac{y}{0.961}

Multiply both sides by 0.961 to solve for y

\frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961

\frac{8*0.961}{0.848} = y

\frac{8*0.961}{0.848}*0.961 = y

9.07 = y

y = 9.1 (to the nearest tenth)

7 0
3 years ago
A father's age is three less than two times the son's age. The difference in their ages is 30 years. Find the son's age.
kkurt [141]

You can set up a systems of equations to solve this problem.

The equation y = 2x-3 represents the father's age where y = The father's age and x = The son's age.

The equation 30=y-x represents the difference between the two ages.

In order to be able to solve a system, the two equations can be in the same form. (They don't need to be it's just easier for me to have them in the same form) One is in standard form (ax+by= c) and the other one is in slope intercept form (y=mx+b where m is the slope and b is the y- intercept).

Lets put the equation y=2x-3 into standard form.

y=2x-3

+3 +3

y+3=2x

-y -y

3=2x-y

We have the two equations 30=y-x and 3=2x-y

Now to solve the system.

30=y-x

3=2x-y or 3=-y+2x

30=y-x

3=-y+2x The -y and y cancel each other out since they are the same term but are the inverse of each other one is neg one is pos.

Your left with

30=-x Now you just combine the two equations. 30+3 and 2x-x

3=2x

33=x The son's age is 33. To Find the Fathers age we would just plug 33 for x into one of the equations to find the Fathers age.

SON'S AGE IS 33

6 0
3 years ago
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