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3 years ago

Steve spent a total of $17.25 rollerblading. He rented skates for $3.50 and skated for 5 hours. Each hour cost the same amount.

Mathematics

1 answer:

LenaWriter [7]3 years ago

6 0

Answer:

Each hour costs $2.75

Step-by-step explanation:

17.25 - 3.50 = 13.75

13.75/5 = 2.75

Hope this helped <3

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Write the quadratic equation whose roots are 6 and 3, and whose leading coefficient is 4

nekit [7.7K]

If α and β are the Roots of a Quadratic Equation ax² + bx + c then :

✿ Sum of the Roots : α + β $\mathsf{= \frac{-b}{a}}$

✿ Product of the Roots : αβ $\mathsf{= \frac{c}{a}}$

Let the Quadratic Equation we need to find be : ax² + bx + c = 0

Given : The Roots of a Quadratic Equation are 6 and 3

⇒ α = 6 and β = 3

Given : The Leading Coefficient of the Quadratic Equation is 4

Leading Coefficient is the Coefficient written beside the Variable with Highest Degree. In a Quadratic Equation, Highest Degree is 2

Leading Coefficient of our Quadratic Equation is (a)

⇒ a = 4

⇒ Sum of the Roots $\mathsf{: (6 + 3) = \frac{-b}{4}}$

⇒ -b = 9(4)

⇒ b = -36

⇒ Product of the Roots $\mathsf{: (6 \times 3) = \frac{c}{4}}$

⇒ c = 18 × 4

⇒ c = 72

⇒ The Quadratic Equation is 4x² - 36x + 72 = 0

8 0

4 years ago

What is 2.01 times ten to the fifth power into standard form

disa [49]

Since, you're moving up in exponents, you will move right the number of decimal spaces equivalent to the power of the exponent. Hence, move the decimal point five spaces to the right. There, you now have your answer. :)

5 0

3 years ago

Pls help ????????????

yulyashka [42]

Answer:

let the missing values be a , b , c ,d and e

So the mean of these values is $ 2225

(a + b + c + d + e + 1900 + 2300 + 3000)/8 = 2225

a + b + c + d + e + 7200 = 2225*8

a + b + c + d + e = 17800 - 7200

a + b + c + d + e = 10600 -------------------- let this be our first equation

Since the range is 3000 and the data is already in increasing order:

3000 - a = 2100

a = $ 900 --------- one down, 4 to go

Now lets get another equation through Median:

So the median value is 2450, since median is the middle value when the given set is written in increasing or decreasing order

since we are already given the increasing order of the numbers, we will make use of that

So, since there is no middle number since there are even amount of numbers, the average of the 2 mid numbers will be the Median

so, (2300 + c)/2 = 2450

2300 + c = 4900

c = $ 2600 ---------------------- two down, 3 to go

Now we will try to get another equation through mode

We are given that the mode of the numbers is 2900

we will take some help from the first equation for this part

a + b + c + d + e = 10600

900 + 2600 + b + d + e = 10600

b + d + e = 10600 - 3500

b + d + e = 7100

Since the mode is 2900, lets check if b + d + e = 3 (2900) since that would mean that 2900 is repeated 3 times

b + d + e = 2.45(2900)

since b + d + e is 2.45 times 2900 and 2900 is the most repeated number,

we can say that 2 of the 3 values is 2900

so,

2900 + 2900 + b = 7100

e = 7100 - 5800

e = $ 1300

so the complete list is: 900 , 1300 , 1900 , 2300 , 2600 , 2900 , 2900 , 3000

3 0

3 years ago

The function f is defined by f(x)=a−2x, where a is a constant. Find a, if the graph of f passes through the point (8,−21).

LekaFEV [45]

-21 = a - 2(8) because the graph passes through (8,
-21)

a = -21 + 16 = -5 answer

7 0

4 years ago

Read 2 more answers

Which graph represents the function y = –2x2 – 5?

Svetllana [295]

Answer:

i believe the bottom one

Step-by-step explanation:

6 0

2 years ago