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2 years ago

Use the drawing tools to form the correct answers on the graph.

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

8 0

Answer:

(-2,-12), (-1,-6), (0,-3) and (1,-3/2)

Step-by-step explanation:

x g(x)

-2 -3(1/2)^-2 = -12

-1 -3(1/2)^-1 = -6

0 -3(1/2)^0 = -3

1 -3(1/2)^1 = -3/2

Now, making the graph we will plot

(-2,-12), (-1,-6), (0,-3) and (1,-3/2)

Hope this helps!!

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4.3 Mr Mokwebo 's two sons, Refentse and Tokelo have just passed grade 7 and grade 9 respectively. He will give them some money

Bumek [7]

The amount of money each of Mr Mokwebo 's two sons; Tokelo and Refentse will get is R116 and R95 respectively.

<h3>How to write and solve equation:</h3>

Amount needed to buy chocolate = R253
Tokelo's money = x
Refentse's money = x - 21

Total amount needed = Tokelo's money + Refentse's money

253 = x + (x - 21)

253 = x + x - 21

253 = 2x - 21

253 - 21 = 2x

232 = 2x

divide both sides by 2

x = 232/2

x = 116

Therefore,

Tokelo's money = x = R116

Refentse's money = x - 21

= 116 - 21

= R95

Learn more about equation:

brainly.com/question/2972832

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6 0

1 year ago

Given the differential Equation y'+2y=2e^x ;solve this equation using the integration factor; solve for y to get the general sol

SCORPION-xisa [38]

$y'+2y=2e^x\Longrightarrow y'=2e^x-2y$

If $f'(x)=g(x)$ then $y=\int{g(x)dx}$

So we extract,

$y=\int{2e^x-2x}dx$

Which becomes,

$y=2e^x-x^2+C$

Hope this helps.

r3t40

5 0

2 years ago

Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 70 bacteria are present to begin

Sauron [17]

Answer:

1 day: 4480

2 days: 8960

3 days: 13440

$f^{-1}(x) = \sqrt{\frac{x -4}{4}}$ ---- function inverse

Step-by-step explanation:

Given

$f(x) = 70 \cdot 64x$

Solving (a): The amount present after 1 day.

Here, $x =1$

So:

$f(1) = 70 \cdot 64*1= 4480$

Solving (b): The amount present after 2 days.

Here, $x =2$

So:

$f(2) = 70 \cdot 64*2= 8960$

Solving (c): The amount present after 3 days.

Here, $x = 3$

So:

$f(3) = 70 \cdot 64*2= 13440$

Solving (d): The inverse function of:

$f(x)= 4x^2 + 4$

Replace f(x) with y

$y= 4x^2 + 4$

Swap x and y

$x= 4y^2 + 4$

Rewrite as:

$4y^2 = x -4$

Divide by 4

$y^2 = \frac{x -4}{4}$

Take square roots

$y = \sqrt{\frac{x -4}{4}}$

Replace y with function inverse

$f^{-1}(x) = \sqrt{\frac{x -4}{4}}$

6 0

2 years ago

I need help on this, please help

AfilCa [17]

Answer:i tihnk football is .45 and tennis is .18?

Step-by-step explanation:

i dont know if this is right but im pretty sure it is

5 0

2 years ago

What is y in the equation 2/3 (2y+1) = 3/7 (2-y)

Alik [6]

Answer:

$y=\frac{4}{37}$

Step-by-step explanation:

$\frac{2}{3}(2y+1)=\frac{3}{7}(2-y)$

$\frac{4}{3}y+\frac{2}{3} =\frac{6}{7}- \frac{3}{7}y$

Add $\frac{3}{7}y$ on both sides and subtract $\frac{2}{3}$ on both sides.

$(\frac{3}{7}y- \frac{2}{3})+\frac{4}{3}y+\frac{2}{3} =\frac{6}{7}- \frac{3}{7}y+(\frac{3}{7}y- \frac{2}{3})$

$\frac{3}{7}y+\frac{4}{3}y=\frac{6}{7}-\frac{2}{3}$

Solve the fractions.

$\frac{(3)(3)+(7)(4)}{(7)(3)}y=\frac{(6)(3)-(7)(2)}{(7)(3)}$

$\frac{9+28}{21} y=\frac{18-14}{21}$

$\frac{37}{21}y =\frac{4}{21}$

Multiply by the reciprocal of the fraction with the variable to isolate the variable. The reciprocal is the inverted fraction.

$\frac{21}{37}*\frac{37}{21}y =\frac{4}{21}*\frac{21}{37}$

$y=\frac{4}{37}$

4 0

3 years ago

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