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3 years ago

Number 6 please ..............

Mathematics

1 answer:

satela [25.4K]3 years ago

8 0

the speed rate is simply obtained by dividing the meters by the seconds.

so Tawni did 50 meters in 40.8 seconds, that means her speed rate is 50/40.8 or about 1.23 m/s.

Pepita did 100 meters in 60.2 seconds, so she's 100/60.2 or about 1.66 m/s.

Susana did 200 meters in 112.4 seconds, so she's about 1.78 m/s.

the one who ran the fastest is the one who covered more meters in 1 second.

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(-7,-9) and (8,5) in slope intercept form

Tpy6a [65]

Y=14/15x-37/15

Step-by-step explanation:

7 0

2 years ago

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The length of a rectangle is five less than its width. The area of the rectangle is 84 square feet. Write a quadratic equation i

salantis [7]

Given:

The length of a rectangle is 5 less than its width.

The area of the rectangle is 84 square feet.

We need to determine the quadratic equation in standard form that represents the area of the rectangle.

Dimensions of the rectangle:

Let l denote the length of the rectangle.

Let w denote the width of the rectangle.

Since, it is given that the length is 5 less than its width, it can be written as,

$l=5-w$ and $w=w$

Area of the rectangle:

The area of the rectangle can be determined using the formula,

$A=length \times width$

Substituting A = 84, $l=5-w$ and $w=w$ , we get

$84=(5-w)\times w$

$84=5w-w^2$

Adding both sides of the equation by w², we have;

$w^2+84=5w$

Subtracting by 5w on both sides, we get;

$w^2-5w+84=0$

Thus, the quadratic equation in standard form for the area of the rectangle is $w^2-5w+84=0$

4 0

3 years ago

Please help me with this question. Algebra 2 is hard!!

trapecia [35]

Answer:

domain: {x ∈ ℝ : x ≤ 5}
range: {y ∈ ℝ : y ≤ -1}

Step-by-step explanation:

Domain

The domain of a function is the set of x values for which the function is defined. Here, the domain is limited by the values of x that make the square root defined. That is, the expression under the radical cannot be negative:

-3x +15 ≥ 0

15 ≥ 3x . . . . . . add 3x

5 ≥ x . . . . . . . . divide by 3

x ≤ 5 . . . . . . . . put x on the left (swap sides)

The rest of the notation in the domain expression simply says x is a real number.

domain: {x ∈ ℝ : x ≤ 5} . . . . . . matches the first choice

Range

The range of a function is the set of values that f(x) can have. We know the square root can be zero or any positive number. When it is zero, f(x) = -1.

When it is a positive number, that value is multiplied by -4 and added to -1, so f(x) is a number more negative than -1. Then the range of the function is all numbers -1 and below:

range: {y ∈ ℝ : y ≤ -1} . . . . . . matches the last choice

_____

Comment on domain/range problems

When working domain and range problems, it works well to have a good understanding of the domain and range limitations of the functions we usually work with: polynomials, square root, logarithm, trig functions, exponential functions. Domain and range problems generally involve combinations of these or ratios of combinations of these.

3 0

3 years ago

Find the range. 3 –9 7 –1 5 –4 2

Fed [463]

Answer: The range is 16 :)

Step-by-step explanation:

The lowest number is -9 and the highest is 7. the difference between those is 16.

4 0

3 years ago

Given: 5x + 3 > 4x + 7. Choose the graph of the solution set.

riadik2000 [5.3K]

Let's solve your inequality step-by-step.

5x+3>4x+7

Step 1: Subtract 4x from both sides.

5x+3−4x>4x+7−4x

x+3>7

Step 2: Subtract 3 from both sides.

x+3−3>7−3

x>4

Answer:

x>4

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3 years ago

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