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2 years ago

The table shows the number of field goals made and field goals attempted by four different football kickers,

Mathematics

1 answer:

GrogVix [38]2 years ago

8 0

Dan:12/16=3/4=75%
Josh:15/25=3/5=60%
Ryan:14/20=7/10=70%
Scott:10/15=2/3=67%
Answer:Dan

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Solve for x:a(a²+b²)x²+b²x-a

m_a_m_a [10]

Answer:

x = a/(a² + b²) or x = -1/a

Step-by-step explanation:

a(a²+ b²)x² + b²x - a =0

Use the quadratic equation formula:

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

1. Evaluate the discriminant D

D = b² - 4ac = b⁴ - 4a(a² + b²)(-a) = b⁴ + 4a⁴ + 4a²b² = (b² + 2a²)²

2. Solve for x

$\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{D}}{2a}\\\\ & = & \dfrac{-b^{2}\pm\sqrt{(b^{2}+2a^{2})^{2}}}{2a(a^{2} + b^{2})}\\\\ & = & \dfrac{-b^{2}\pm(b^{2}+ 2a^{2})}{2a(a^{2} + b^{2})}\\\\x = \dfrac{-b^{2}+(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}&\qquad& x =\dfrac{-b^{2}-(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}\\\\x =\dfrac{-b^{2}+(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}&\qquad& x =\dfrac{-b^{2}-(b^{2} +2a^{2})}{2a(a^{2} + b^{2})}\\\\\end{array}$

$\begin{array}{rcl}x = \large \boxed{\mathbf{\dfrac{a}{a^{2} + b^{2}}}}&\qquad& x =\dfrac{-b^{2}-(b^{2} +2a^{2})}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\dfrac{-2b^{2}- 2a^{2}}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\dfrac{-2(a^{2}+ b^{2})}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\large \boxed{\mathbf{-\dfrac{1}{a}}}\\\\\end{array}$

5 0

3 years ago

Mr. Champion invests 34,000 into a money-market fund that pays 4.8% simple interest. How long will it take for him to earn $8,16

Tanzania [10]

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

$SI= PRT/100$

substitute

$8160 = 34000*4.8*T/100$

cross multiply we have

$8160*100= 34000*4.8*T\\\\816000= 163200T\\\\$

divide both sides by 163200

$816000/163200= T\\\\T= 5 years$

4 0

3 years ago

In a school with 200 students, 45% are males. how many males are there.? please help me

LUCKY_DIMON [66]

Answer:

90 males.

Step-by-step explanation:

To find the answer we will divide 45% by 100, and we get 0.45. Now multiply 0.45 by 200 and you get 90. Therefore, 90 males is the answer. 

7 0

2 years ago

Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios.

maw [93]

Answer:

He made a math error

Step-by-step explanation:

6 ounces of pistachios cost $7.50

take 7.50 / 6=1.25 per ounce ( not .80 per ounce)

Then 1.26 * 16 = 20.00 for 16 ounces

8 0

2 years ago

Can someone help me please:

elena-14-01-66 [18.8K]

$819.20 is the answer considering each time the units increase by fours, it adds $204.80

8 0

3 years ago