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4 years ago

15

George took his friends to a movie. He bought 3 movie tickets that cost x dollars each, and one jumbo chicken sandwhich. The cos

t 15 dollars less than one movie ticket. which expression represents this situation ?

1 answer:

miv72 [106K]4 years ago

7 0

Ok so it will look like this: chicken sandwich- 15 equals the amount of the ticket

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Label the place value 12,354,897

BARSIC [14]

1 - ten million place

2 - one million place

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5 - ten thousands place

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8 - hundreds place

9 - tens place

7 - ones place

HOPE THIS HELPS!!!!

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3 years ago

Read 2 more answers

What is the length of a piece of cloth that is 5 centimeters wide an area of 20 cm^2?

natima [27]

4 centimeters is the length

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4 years ago

PLEASE ANSWER ASAP!!

Rufina [12.5K]

Answer:

The instantaneous rate of increase of f(x) at $x_{0} = 3$ is 3.
One possible equation of this line is y = 3x - 16.
The line is tangent to the graph of y = f(x). The slope of the line is the same as the instantaneous rate of increase of f(x) at $x_{0} = 3$ .

Step-by-step explanation:

<h3>1.</h3>

$\begin{aligned}&\lim_{h\to 0}{\frac{f(3+h)-f(h)}{h}}\\ =&\lim_{h\to 0}\frac{1}{h} \cdot [(3^{3} + 3 \times 3^{2}h +3\times 3h^{2} + h^{3})- 4(3^{2} + 2\times 3h + h^{2}) + 2 \\[-1em] &\phantom{\lim_{h\to 0}\frac{1}{h}\cdot []} -(3^{3} -4\times 3^{2} + 2)]\\ = &\lim_{h \to 0}\frac{h^{3} + 5h^{2} +3h}{h}\\=& \lim_{h \to 0}{h^{2}} + \lim_{h \to 0}{5h} + \lim_{h\to 0}{3}\\ =& 3\end{aligned}$ .

<h3>2.</h3>

$f(3) = 3^{3} - 4\times 3^{2} + 2 =-7$ .

In other words, the graph of y = f(x) passes through the point (3, -7) where $x = 3$ .

The point-slope form of a line in a cartesian plane is:

$y - y_0 = m (x - x_0)$ .

For this line,

$(3, -7)$ is the point on the line, while

$3$ is the slope of the line.

The equation of this line will thus be

$y - (-7) = 3(x - 3)$ .

That's equivalent to

$y = 3x - 16$ .

<h3>3.</h3>

Refer to the diagram attached. The line touches the graph of y = f(x) at x = 3 without crossing it. The line here is thus a tangent to the graph of y = f(x) at x = 3. The slope of the line represents the instantaneous rate of increase of f(x) at $x_{0} = 3$ .

4 0

4 years ago

Choose the equation of a circle with radius 6 and center (2, -3).

Rufina [12.5K]

Answer: $(x-2)^2 + (y+3)^2 = 36\\\\$

Work Shown:

$(x-h)^2 + (y-k)^2 = r^2\\\\(x-2)^2 + (y-(-3))^2 = 6^2\\\\(x-2)^2 + (y+3)^2 = 36\\\\$

Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in $(x-h)^2 + (y-k)^2 = r^2\\\\$ form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).

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2 years ago

iren [92.7K]

Answer:

93+30=123 so e equals 123

Step-by-step explanation:

To check, do 123-30=93

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3 years ago