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3 years ago

9

I need help!! Can some one explain how to do it? My teacher explanation was hard to understand. Mr. Majors ordered six hot dogs

and a bucket of popcorn at the concession stand. If the popcorn was $3.20, and the total was $18.20, what was the price of one hot dog?

1 answer:

stellarik [79]3 years ago

6 0

Each hot dog is 2.50

The popcorn is 3.20 so you subtract that from the total you’ve spent which is 15
Then you divide 15 by six

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Which of the following graphs model exponential functions? Select all that apply.

shusha [124]

The given graphs model exponential functions are a, b and c.

Option a, b and c are the correct answers.

To choose the graph.

<h3>What is exponential function?</h3>

A relation of the form y = ax, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

Given that:

The three graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.

The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.

Therefore, the given graphs a, b and c are the correct answers.

Learn more about exponential function here:

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8 0

11 months ago

a 96 ounce container of orange juice costs $4.80. at what price should a 128 ounce container be sold in order for the unit rate

Hunter-Best [27]

4.8 / 96 = x / 120
96x = 576
x = 576/96
x = 6

check :
unit rate for 96 oz container at 4.80 = 4.80/96 = 0.05 per oz
unit rate for 120 oz container at 6.00 = 6.00/120 = 0.05 per oz

Basically ur looking for an equivalent fraction (and that is what proportions are...this will reduce to the same unit rate. So ur answer is $ 6.00

5 0

3 years ago

Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0

3 years ago

Please help Let f(x)=2x^2+x-3 and g(x)=x-1. Perform the indicated operation, then find the domain. (F-g)(x)

Vesna [10]

F(x) = 2x² + x - 3
g(x) = x - 1
(f - g)(x) = (2x² + x - 3) - (x - 1)
(f - g)(x) = 2x² + (x - x) + (-3 + 1)
(f - g)(x) = 2x² - 2

The answer is D.

4 0

3 years ago

How do you simplify this –34–23a+16a

Dafna11 [192]

Answer:

-34 -7a

Step-by-step explanation:

–34–23a+16a

Combine like terms

-34 -7a

8 0

3 years ago

Read 2 more answers