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2 years ago

Evaluate. 75-2(9-5)²+2³

Mathematics

1 answer:

Andreyy892 years ago

5 0

$75-2(9-5)^2+2^3$

First, solve the parentheses:

$75-2(4)^2+2^3$

Next, the exponential terms

$75-2(16)+8$

Solve the multiplication:

$75-32+8$

Add and subtract:

$51$

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What is the domain of the function f given by f(x)=sqrt x^2-4/x-3?

Morgarella [4.7K]

In interval notation the domain would be: (-infinity,-2]U[2,3)U(3,+infinity)

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3 years ago

Stephen has three sweaters: one is blue, one is red and one is green. He pulls a sweater out of his dresser at random. What is t

ozzi

Answer:

1/3 or 33%

Step-by-step explanation:

Since there are 3 sweaters and only one is green, the ratio of green sweaters to all sweaters is 1:3. As a fraction, this ratio is 1/3. Finally, as a percentage, this fraction/ratio is 33%. Therefore, there is a 33% chance Stephen pulls out a green sweater.

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3 years ago

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Of the following, which is greater than ½ ? a. 2/5 b. 4/7 c. 4/9 d. 5/11 e. 6/13

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3 years ago

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Express the ratio of 300 miles to 25 gallons of gasoline as a unit rate. Simplify your answer. Show your work

Alchen [17]

Answer:

1 gallon to 12 miles

Step-by-step explanation:

Distance = 300 miles

Gasoline used = 25 gallons

Expressing as a unit rate :

Distance covered per gallon of gasoline :

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300 / 25

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Hence, the unit rate is :

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3 years ago

Jennifer picked up these two videogames for a bargain. Normally,each costs $30. But today therewere 30% off. If she also paid8.2

andreev551 [17]

Solution

Step 1

Write an expression for the sales tax she paid and the percentage off

$\begin{gathered} \text{Percentage off =30\%. Therefore, the actual \% left = 100 -30 = 70\%} \\ \frac{100}{70}=\frac{\cos t\text{ of both video games}}{x} \\ \text{where x = cost of video games after the \% off} \\ \end{gathered}$ $\begin{gathered} \text{For the sales tax} \\ \frac{100}{8.25}=\frac{\cos t\text{ of two shirts}}{y} \\ \text{where y = amount of sales tax paid} \end{gathered}$

Step 2

Find her total bill after substitution

$\begin{gathered} \text{Amount paid after 30\% off will be} \\ \frac{100}{70}=\frac{60}{x} \\ 4200\text{ = 100x} \\ x=\text{ }\frac{4200}{100} \\ x=42\text{ dollars} \end{gathered}$ $\begin{gathered} \text{Amount of sales tax} \\ \frac{100}{8.25}=\frac{60}{y} \\ 495\text{ = 100y} \\ y\text{ =\$4.95} \end{gathered}$

Her total bill thereore = 42 +4.95 =$46.95

7 0

1 year ago