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3 years ago

Which of the following are solutions to the equation below?

Mathematics

1 answer:

evablogger [386]3 years ago

6 0

Answer:

x = 5 ± $\sqrt{17}$

Step-by-step explanation:

Given

x² - 10x + 25 = 17 ← left side is a perfect square, thus

(x - 5)² = 17 ( take the square root of both sides )

x - 5 = ± $\sqrt{17}$ ( add 5 to both sides )

x = 5 ± $\sqrt{17}$

Thus

x = 5 - $\sqrt{17}$

x = 5 + $\sqrt{17}$

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A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38, 500). If equal elemental probabilities are assigned, what is

Katen [24]

Answer:

$\frac{7}{9}$ OR 77.78%

Step-by-step explanation:

So, we first need to find out how many numbers fit the "less than 29 or odd" group.

This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.

Next, we figure out the total amount of numbers in the population.

This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.

Finally, we put the first number (7) over the total (9) = $\frac{7}{9}$

$\frac{7}{9}$ is now able to be written in a percentage, if you need.

The probability is $\frac{7}{9}$ OR 77.78%

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3 years ago

Jeremy spent $26.50 for 5.5lb. What would be the price of 1 pound of dog food

NikAS [45]

Answer:

$4.81

Step-by-step explanation:

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3 years ago

A small pizza at Little Italy pizzeria costs $9.25, and each topping is an additional $0.50. So the cost of ordering a pizza can

Vera_Pavlovna [14]

Answer:

Graph the equation is shown below.

Step-by-step explanation:

The linear equation representing the relation between cost of ordering a pizza and the number of additional toppings is:

$y=0.50x+9.25$

Here,

y = cost of the pizza

x = number of toppings

The graph of the linear equation is shown below.

Consider the point (2, 10.25).

When x = 2 compute the value of y as follows:

$y=0.50x+9.25\\=(0.50\times 2)+9.25\\=10.25$

The point (2, 10.25) satisfies the equation.

Again consider a point (18, 18.25).

When x = 18 compute the value of y as follows:

$y=0.50x+9.25\\=(0.50\times 18)+9.25\\=18.25$

The point (18, 18.25) satisfies the equation.

The two points are also plotted on the graph.

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Solve for x: 0.75x-0.25=3.5

exis [7]

Answer:

x=5

Step-by-step explanation:

3.5=0.75x-0.25

add 0.25 to 3.5

3.75=0.75x

divide 3.75 by 0.75

x=5

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3 years ago