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amid [387]
1 year ago
14

Please help me with this math problem. I have to Use the quadratic formula to solve each equation.

Mathematics
1 answer:
Ierofanga [76]1 year ago
4 0

You have to solve the given expression for q:

2q^2-8=3q

This expression has a quadratic term, which means that it is a quadratic equation. To find the value or values of q, you have to use the quadratic equation, using "q" as the variable instead of "x"

q=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where

a is the coefficient of the quadratic term

b is the coefficient of the q term

c is the constant

- First, zero the equation by passing 3q to the left side of the equal sign:

\begin{gathered} 2q^2-8=3q \\ 2q^2-8-3q=3q-3q \\ 2q^2-3q-8=0 \end{gathered}

For this equation the coefficients are:

a= 2

b= -3

c= -8

Replace them in the formula and solve:

\begin{gathered} q=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ q=\frac{-(-3)\pm\sqrt{(-3)^2-4*2*(-8)}}{2*2} \\ q=\frac{3\pm\sqrt{9+64}}{4} \\ q=\frac{3\pm\sqrt{73}}{4} \end{gathered}

Next, to determine each possible value of q, you have to solve the sum and difference separately:

Sum

\begin{gathered} q=\frac{3+\sqrt{73}}{4} \\ q=2.886\cong2.9 \end{gathered}

Difference

\begin{gathered} q=\frac{3-\sqrt{73}}{4} \\ q=-1.386\cong-1.4 \end{gathered}

The possible solutions for the given equation are q=2.9 and q=-1.4

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1. Renting a bicycle at a local Bike shop costs $30 for the first day and $10 for each additional day.
Elza [17]
<span>(a) Create a chart of values and write an equation to find the total cost, C in terms of the number of days d.

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</span><span>(b) Use the equation you created in Part (a) to find the cost of renting a bike for 5 days.
</span>
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7 0
3 years ago
GUYS HELP ME PLS. Tina is standing at the bottom of a hill. Matt is standing on the hill so that when Tina's line of sight is
Pie

Answer:

71°

Step-by-step explanation:

The angle of elevation of the hill can be obtiaed using trigonometry :

Given

the opposite length = 14.5 feets

Adjacent = 5 feets

The angle of elevation vabnbe obtained using :

Tan θ = opposite / Adjacent

Where θ = angle of elevation

Tan θ = 14.5 / 5

Tan θ = 2.9

θ = tan^-1(2.9)

θ = 70.97 = 71°

3 0
3 years ago
How do I solve 6x—20=
REY [17]

Answer:

Can not be determined

Step-by-step explanation:

regularly, you would +20 to both sides, but without a full =, you cant solve. If the equation is 6x-20=0, x would equal 3 2/6.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Please Answer Both Questions
Ymorist [56]

Answer:

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b. small = 12(large)

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7 0
3 years ago
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