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alekssr [168]
3 years ago
13

Andrew drove 55 mph on his trip. Which of the following equations best represents the distance he drove if x stands for the numb

er of hours?
Mathematics
2 answers:
sergejj [24]3 years ago
5 0
55*x
X= The hours 
I hope this helps!!

Luda [366]3 years ago
5 0

Answer

Using speed formula:

\text{Speed} = \frac{\text{Distance}}{\text{Time}}

Let y represents the distance in miles and x represents the time in hours.

As per the given statement:

Andrew drove 55 mph on his trip.

Using formula;

we have;

55 = \frac{y}{x}

Multiply both sides by x we have;

y = 55x

Therefore, the equation best represents the distance he drove is y = 55x

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Five whole numbers are written in order
jeka57 [31]

Answer:

x=7

y=8

Step-by-step explanation:

-Given that the mean and median is the same.

-Let b=mean =median

#Given that the set is arranged in order and is even:

median=\frac{n+1}{2}\\\\Median=3^{rd} \ term\\\\=x

Hence:

b=median=mean\\\\b=x\\\\\therefore mean=median=x

-Applying the mean formula:

\bar x=\frac{1}{n}\sum{x_i}\\\\\therefore 5x=4+6+x+y+10\\\\4x=20+y\\\\x=5+0.25y

#Since the number are in order:

6

Hence, x=7 and y=8

8 0
3 years ago
If f(x) = -7x + 5x2 + 10, what does f(-2) equal?
aksik [14]

Answer:

f(-2) = 44

Step-by-step explanation:

Hello there! Lets get started solving this function!

For a function, whenever we see f(x) = ... , the function is simply asking the value of the equation at x! So, if replace f(x) with f(-2), we simply substitute x with -2 in the equation! Lets get started!

f(x) = -7x + 5x^{2} + 10\\f(-2) = -7(-2) + 5(-2)^{2} + 10\\f(-2) = 14 + 20 + 10\\f(-2) = 44\\

First, we can write the original function. Next, we substitute in -2 for x. Then, we find our final terms. Finally, we are given that f(-2) = 44.

Hope this helps! Remember, math is fun!

7 0
3 years ago
What two rational expressions sum to 2x+3/x^2-5x+4
Anni [7]

Answer:

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

Step-by-step explanation:

Given the rational expression: \frac{2x + 3}{x^2 - 5x + 4}, to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

x^2 - 5x + 4

x^2 - 4x - x + 4

(x^2 - 4x) - (x + 4)

x(x - 4) - 1(x - 4)

(x- 1)(x - 4)

Thus, we now have: \frac{2x + 3}{(x- 1)(x - 4)}

Step 2: Apply the concept of Partial Fraction

Let,

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

Multiply both sides by (x - 1)(x - 4)

\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) = (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)

2x + 3 = A(x - 4) + B(x - 1)

Step 3:

Substituting x = 4 in 2x + 3 = A(x - 4) + B(x - 1)

2(4) + 3 = A(4 - 4) + B(4 - 1)

8 + 3 = A(0) + B(3)

11 = 3B

\frac{11}{3} = B

B = \frac{11}{3}

Substituting x = 1 in 2x + 3 = A(x - 4) + B(x - 1)

2(1) + 3 = A(1 - 4) + B(1 - 1)

2 + 3 = A(-3) + B(0)

5 = -3A

\frac{5}{-3} = \frac{-3A}{-3}

A = -\frac{5}{3}

Step 4: Plug in the values of A and B into the original equation in step 2

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

7 0
3 years ago
The perimeter and area of each figure:<br> a. A square with a side length of 3.5 inches.
Anna11 [10]

3.5 \times 3.5 = 12.25 \: for \: are \\ 3.5 \times 4 = 14 \: for \: perimeter

5 0
3 years ago
An account is opened with $1250 at a bank that pays 4.75% interest yearly, write a function A(t) that tells how much money is in
svetlana [45]

Answer:

W

Step-by-step explanation:

7 0
2 years ago
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