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2 years ago

6

Alex rides 45 miles in 3 hours write an equation that shows the relationship between the distance and the time that he rides if

Alex rides at a constant rate of speed

2 answers:

Mashcka [7]2 years ago

7 0

45*3 that's the answer

rosijanka [135]2 years ago

5 0

D= r x t
45=r x 3

45 r 3
- = - x -
3 3 3

Divide 45 by 3

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HELPPPP the table shows four transactions find the account balance after the transactions when the account at enter with a balan

OleMash [197]

Answer:

$85

Step-by-step explanation:

$25 + $80 + $65=$180

$180 - $80 -$15 = 85

So balance would be $85

6 0

2 years ago

F(x)=3x^3-12x^2+9x what the factor<br>

alexandr1967 [171]

Answer:

f(x) = 3x(x-1)(x-3)

Step-by-step explanation:

f(x) = 3x³-12x²+9x = 3x(x²-4x+3) =

= 3x(x²-x-3x+3) = 3x[x(x-1)-3(x-1)] =

= 3x[(x-1)(x-3)] = 3x(x-1)(x-3)

6 0

2 years ago

Read 2 more answers

3. For the equation-4y = &r, what is the constant of variation? (1 point)<br> ООО<br> 02

alexandr1967 [171]

Answer:

3).

$- 4y = 8x \\ \frac{y}{x} = \frac{8}{ - 4} \\ \frac{y}{x} = - 2 \\ y = - 2x \\ hence \: constant \: is \: - 2$

4).

$y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k = \frac{24}{8} \\ k = 3 \\ value \: of \: constant = 3$

If it was by 10, k = 3 by 10

k = 30

5).

$general \: equation \: of \: line \\ y = mx + c \\ but \: m = \frac{2}{3} \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y = \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27$

7 0

2 years ago

A certain forest covers an area of 4600km. Suppose that each year this area decreases by 7.75%. What will the area be after 13 y

wolverine [178]

Answer:

$1679.60\ km^2$

Step-by-step explanation:

-We can use the exponential decay function to estimate the size after 13 years:

$P_t=P_oe^{-rt}$

Where:

$P_t$ is the size after t years, t is the time, r is the rate of decay and $P_o$ the original size.

#We substitute and calculate as:

$P_t=P_oe^{-rt}\\\\=4600e^{-13\times 0.0775}\\\\=1679.60$

Hence, the forest covers $1679.60\ km^2$ after 13 years.

4 0

2 years ago

67. The line contains the point (4,0) and is parallel<br> to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

<u>2) Determine the y-intercept</u>

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago