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3 years ago

Solve 9x^2 + 12x – 24 = 0 using the quadratic formula.

1 answer:

8 0

Quadratic formula = (-b +- sqrt(b^2 - (4ac))) / 2a

$\frac{ -12 + \sqrt{(12)^2 -((4)(9)(-24))}}{2(9)}$

and

$\frac{ -12 - \sqrt{(12)^2 -((4)(9)(-24))}}{2(9)}$

then simplify and solve

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Your total for dinner was $18.50. If you want to leave a 20% tip, how much will your grand total be?

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Answer:

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Geoffrey is trying to earn $50 to buy a video game. He has saved $14.25. He earns $3.75 per hour cleaning windows with his uncle

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Read 2 more answers

7x+9y=-41 and x+3y=1. Solve system of equations

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9514 1404 393

Answer:

(x, y) = (-11, 4)

Step-by-step explanation:

You can subtract 3 times the second equation from the first to eliminate y.

(7x +9y) -3(x +3y) = (-41) -3(1)

4x = -44

x = -11

Substituting into the second equation gives ...

-11 +3y = 1

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y = 4

The solution is (x, y) = (-11, 4).

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3 years ago

At a store clearance, a woman spent less than $200 on shirts that were labeled $15 each. How many shirts did she buy? Identify t

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3 years ago

I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t

belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

$\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}$

Where

$\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}$

Thus,

$\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}$

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

$\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}$

Thus, from the theorem of similar triangles,

$\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}$

solving for y, we have

$\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}$

thus, YC = 10.

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1 year ago