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astraxan [27]
2 years ago
11

Robert and Frank were shooting baskets. They scored 3 points for a long shot, 2 points for a regular basket, and 1 point for a f

ree throw. List the ways that Robert could have scored 12 points.
Mathematics
1 answer:
Aleksandr [31]2 years ago
5 0

The ways that Robert could have scored 12 points will be:

  • 4 3 points shot.
  • 6 2 points shot.
  • 12 1 pony shot

<h3>How to express the information?</h3>

From the information, Robert and Frank were shooting baskets. They scored 3 points for a long shot, 2 points for a regular basket, and 1 point for a free throw.

Therefore, to get 12 points will be:

= 4 × 3 points = 12

= 6 × 2 points = 12

= 1 × 12 = 12

Learn more about multiplication on:

brainly.com/question/10873737

#SPJ1

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What is the next term in the sequence?<br> 2, -4, 8, -16, ...
worty [1.4K]

Answer:

32

Step-by-step explanation:

it multiplies by -2 every time

5 0
3 years ago
The Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times
DedPeter [7]

Answer:

The correct option is  2 .

Therefore ,the missing denominator of the solution. 4 plus or minus the square root of 2, all over is <u>  2 . </u>

     x=\dfrac{4\pm\sqrt{2}}{2}

Step-by-step explanation:

For a Quadratic Equation ax² + bx + c = 0

By Formula Method we get

x=\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}

So we have Quadratic Equation is 2x² - 8x + 7 = 0

On Comparing we get

a=2\\b=-8\\c=7

Substituting a , b, c values we get

x=\dfrac{-(-8)\pm\sqrt{(-8)^{2}-4(2)(7)}}{2(2)}\\\\x=\dfrac{8\pm\sqrt{64-56}}{4}\\\\x=\dfrac{8\pm\sqrt{8}}{4}\\\\x=\dfrac{8\pm2\sqrt{2}}{4}\\\\x=2(\dfrac{4\pm\sqrt{2}}{4})\\\\x=\dfrac{4\pm\sqrt{2}}{2}

Therefore ,the missing denominator of the solution. 4 plus or minus the square root of 2, all over is <u>  2 . </u>      

7 0
3 years ago
Identify all of the real roots of x^4 − x^3 − 9x^2 + 11x + 6 = 0.
Norma-Jean [14]

Answer:

4 roots: 2 , -3, 1+√2, 1 - √2

Step-by-step explanation:

x⁴ − x³ − 9x² + 11x + 6 = 0    leading: 1 (x⁴)    Trailing: 6 (1,2,3,6)

possible roots: trailing/leading (±1 , ±2, ±3, ±6)

Test: x = 2     (2)⁴ - (2)³ - 9*(2)² + 11*(2) + 6 = 0

        x = -3    (-3)⁴ - (-3)³ - 9*(-3)² + 11*(-3) + 6 = 0

By rational roots test: possible roots (x-2)(x+3) are factors

Long division:  (x⁴ − x³ − 9x² + 11x + 6) / (x-2)(x+3) = x²-2x-1

roots of x²-2x-1: x= (-b±√b²-4ac) / 2a

x = (2 ± √4+4) / 2 = (2 ± 2√2) / 2 = 1 ± √2

3 0
3 years ago
2s + 4 = 20<br><br> s = what
Sever21 [200]
The answer is 8 you’re welcome :)
3 0
2 years ago
Read 2 more answers
If the interest paid was $1428 on a principal of $5100 and an interest rate of 4%, how many years was the loan for?
Vaselesa [24]

Answer:

7 years

Step-by-step explanation:

Use the formula I=Prt

Convert 4% to a decimal. 4% = 0.04

1428  = 5100(.04)t

1428 = 204t

1428/204 = 204t/204

t = 7 years

3 0
2 years ago
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