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3 years ago

The expression (4c − 3d)(3c + d) is equivalent to:

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

(4c - 3d)(3c + d) =

= 12c² + 4cd - 9cd - 3d² =

= 12c² - 5cd - 3d²

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Donal currently has 7,200 points in his fantasy baseball league, which is 20% more point than Scott how many points does scott h

Sati [7]

ANSWER:

Scott has 6000 points in his fantasy baseball league.

SOLUTION:

Given, Donal currently has 7,200 points in his fantasy baseball league.

It is 20% more points than Scott points.

We need to know how many points does scott have?

Let the points with scott be x.

Then, according to give information

Donal points = scott points + 20% of scott points

$\begin{array}{l}{7200=x+20 \% \times x} \\\\ {7200=x+\frac{20}{100} \times x} \\\\ {7200=x+\frac{1}{5} \times x} \\\\ {7200=x+\frac{x}{5}}\end{array}$

By multiplying with 5 on both sides, we get

$\begin{array}{l}{7200 \times 5=5 \times x+x} \\\\ {36000=5 x+x} \\\\ {6 x=36000} \\\\{x=\frac{36000}{6}} \\\\ {x=6000}\end{array}$

Hence, scott has 6000 points in his fantasy baseball league.

3 0

4 years ago

The arena wants to estimate the previous two month’s ticket-sale income. In total, 71,115 people attended different events at th

Assoli18 [71]

It would be 25 dollars

6 0

4 years ago

Use the quadratic regression to find the equation for the parabola going through these 3 points (-5, 161) (-2, 29) (6, 205)

Rama09 [41]

Answer:

The equation of the parabola is y = 6 $x^{2}$ -2b+1

Step-by-step explanation:

First we write a quadratic equation of parabola as y = a $x^{2}$ +bx+c

Now it is given in the question that parabola passes through three points (-5,161),(-2,29),(6,205).

To find the equation we have to get the value of a,b & c.

Now we form three equations to find the value of a,b,c.

We put the value (-5,161) in the equation

161 = a×25+b×(-5)+c

161 = 25a-5b+c----------(1)

Now we put (-2,29) in the equation

29 = a×4+b×(-2)+c

29 = 4a-2b+c---------(2)

Again we put (6,205) in the equation

205 = a×36+6b+c------------(3)

Now we subtract equation (1) from (2)

161-29 = 25a-4a-5b-(-2b)+c-c

132 = 21a-5b+2b

132 = 21a-3b

132 = 3(7a-b)

44 = 7a-b---------(4)

Now we subtract equation (2) from (3)

205-29 = 36a-4a+6b-(-2b)+c-c

176 = 32a+6b+2b

176 = 32a+8b

176 = 8(4a+b)

22 = 4a+b------------(5)

Now we add equation (5) and (4)

44+22 = 7a+4a-b+b

66 = 11a

a = 6

Now we put the value a in equation (4)

44 = 7×6-b

44 = 42-b

44-42 = -b

2 = (-b)

b = (-2)

Now we put the value of a and b in equation number (2)

29 = 4×6-2(-2)+c

29 = 24+4+c

29 = 28+c

c = 29-28

c =1

Finally we put the value of a,b,c in the quadratic equation

y = 6 $x^{2}$ +(-2)x+1

y = 6 $x^{2}$ -2+1

This is the final answer.

6 0

3 years ago

It costs $20.50 to enter an amusement park and $ 0.25 to ride a ride. You have $21.50. Write an equation that represents the num

Helga [31]

Answer:

r = 4

Step-by-step explanation:

First we have to subtract 21.50 from 20.50 because that is how much money it takes to get inside the amusement park.

21.50 - 20.50 = 1

Right now you have only 1 dollar left. now we have to divide 100 by 25 to see how many times you can ride.

100/ 25 = 4

You can ride 4 times

6 0

3 years ago

MARKING BRAINLIEST For what value of x is the rhombus below?

xenn [34]

Answer:

x=2

Step-by-step explanation:

If this figure is a rhombus, then the two sides have to be equal:

3x+9=8x-1

Move like terms to one side (note that when you move it, the sign flips. Ex: - becomes +)

3x-8x=-9-1

-5x=-10

Divide both sides by -5

x=2

7 0

3 years ago