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deff fn [24]
2 years ago
14

Given that f(x) = x2 + 1 and g(x) = -3, multiply the functions (gºf)(x).

Mathematics
1 answer:
stich3 [128]2 years ago
3 0

Answer:

(g\cdot f) =  -3x^2-3

Step-by-step explanation:

f(x) = x^2 + 1

g(x) = -3

The problem state to multiply the function f and g so the symbol seems to be incorrect.

We actually want to calculate

g(x)  f(x) =gf(x) =  (-3)  \cdot (x^2+1)= -3x^2-3

Note

g\circ f(x)=g(f(x))=g(x^2+1)=-3

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How do you solve 10+5(3x-4)=2x+7
Taya2010 [7]

Answer:

x=1\dfrac{4}{13}

Step-by-step explanation:

Given the equation

10+5(3x-4)=2x+7

Use distributive property:

10+5\cdot 3x-5\cdot 4=2x+7\\ \\10+15x-20=2x+7

Use commutative property to rewrite the equation:

15x+10-20=2x+7

15x-10=2x+7

Add 10 th both sides:

15x-10+10=2x+7+10\\ \\15x=2x+17

Subtract 2x:

15x-2x=2x+17-2x\\ \\13x=17

Divide by 13:

x=\dfrac{17}{13}=1\dfrac{4}{13}

4 0
3 years ago
A car traveld 32 miles in 4 hours at this rate how many miles will the car travel in 0.5 hours
Mandarinka [93]

Answer:

4 miles

Step-by-step explanation:

In order to find how many miles the car will travel in 0.5 hours, we can set up a proportion.

\frac{32}{4} = \frac{x}{0.5}

We can now cross multiply to find the value of x.

32 \cdot 0.5 = 16\\\\16\div4 = 4

So the car can travel 4 miles in 0.5 hours.

Hope this helped!

5 0
3 years ago
Read 2 more answers
What is the slope-intercept equation of this line?
Gekata [30.6K]

Answer:

y = -2x+8

Step-by-step explanation:

We have 2 points so we can find the slope

m = (y2-y1)/x2-x1)

m = ( -4 -8)/(6 - 0)

    = -12/6

   = -2

The y intercept is 8 from the point (0,8)

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -2x+8

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3 years ago
Carli made 9 greeting
Leona [35]

Step-by-step explanation:

Shes wrong because she did it in 3 hours which means she would have made 3 cards and not 9.

3 0
3 years ago
FURTHER MATHEMATICS Use determinants to solve the systems of equation:
maw [93]

Answer:

Step-by-step explanation:

\left\{\begin{array}{ccc}2x+1y+2z&=&13\\1x+1y-2z&=&8\\1x+2y+1z&=&11\\\end{array}\right.\\\\\\\Delta=\left| \begin{array}{ccc}2&1&2\\1&1&-2\\1&2&1\end{array}\right| =2*\left| \begin{array}{ccc}1&\frac{1}{2}&1\\1&1&-2\\1&2&1\end{array}\right| =2*\left| \begin{array}{ccc}1&\frac{1}{2}&1\\0&\frac{1}{2}&-3\\0&1&3\end{array}\right| =2*(\frac{3}{2}+3)=9\\\\

\Delta_1=\left| \begin{array}{ccc}13&1&2\\8&1&-2\\11&2&1\end{array}\right| =2*\left| \begin{array}{ccc}13&1&2\\8&1&-2\\\frac{11}{2}& 1&\frac{1}{2}\end{array}\right| =2*\left| \begin{array}{ccc}13&1&2\\-5&0&-4\\\frac{-5}{2}& 0&\frac{5}{2}\end{array}\right| \\\\=2*(-1)*(\frac{-25}{2}-\frac{20}{2}) =45\\

\Delta_2=\left| \begin{array}{ccc}2&13&2\\1&8&-2\\1&11&1\end{array}\right| \\\\\\=\left| \begin{array}{ccc}3&21&0\\3&30&0\\1&11&1\end{array}\right| \\\\\\=1*(90-63) =27\\

\Delta_3=\left| \begin{array}{ccc}2&1&13\\1&1&8\\1&2&11\end{array}\right| \\\\\\=\left| \begin{array}{ccc}0&-1&-3\\0&-1&-3\\1&2&11\end{array}\right| \\\\\\=0\\

\left\{\begin{array}{ccc}x=\dfrac{\Delta_1}{\Delta}=\dfrac{45}{9}=5\\\\y=\dfrac{\Delta_2}{\Delta}=\dfrac{27}{9}=3\\\\z=\dfrac{\Delta_3}{\Delta}=\dfrac{0}{9}=0\\\end{array}\right.

8 0
3 years ago
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