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4 years ago

6

a local hamburger shop sold a combined total of 429 hamburgers and cheeseburgers on Saturday. There were 71 fewer cheeseburgers

sold than hamburgers. how many hamburgers were sold on Saturday?

1 answer:

Anton [14]4 years ago

7 0

286 hamburger were sold on Saturday

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How many solutions does an equation of the form x^2- k^2= 0 have?

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1. Use Difference of squares: a^2-b^2=(a+b)(a-b)
(x+k)(x-k)=0

2. Solve for x and k
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4 years ago

What is the unit value of the 6 in 216

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3 years ago

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Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

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substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

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therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

The answer to this word problem usinf discriminant

solniwko [45]

$\bf h=-9.8t^2+45t+1.2\implies 64.5=-9.8t^2+45t+1.2
\\\\\\
0=-9.8t^2+45t-63.3\\\\
-------------------------------$

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic}
\\\\\\
0=\stackrel{\stackrel{a}{\downarrow }}{-9.8}t^2\stackrel{\stackrel{b}{\downarrow }}{+45}t\stackrel{\stackrel{c}{\downarrow }}{-63.3}
~~~~~~
\stackrel{discriminant}{b^2-4ac}=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}
\\\\\\
(45)^2-4(-9.8)(-63.3)\implies -456.36$

the discriminant is a negative value, thus no solution for such quadratic, meaning if we use h=64.5 like we did, there's no "t" seconds at which point the ball hits the batting cage.

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3 years ago