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3 years ago

ALGEBRA 1 HELP!!! URGENT PLEASE

Mathematics

1 answer:

Ludmilka [50]3 years ago

5 0

7x-3y=15 is the equation in standard form.

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1.) If x varies directly as y and x = 35 when y = 7. What is the value of y when x = 25?

Fiesta28 [93]

Answer:

y = 5

Step-by-step explanation:

$x \ \alpha \ y$

$=> x = k \times y\\=> 35 = k \times 7\\=> k = 5$

$x = k \times y$

$=>25 = 5 \times y\\ =>5 = y$

8 0

3 years ago

Read 2 more answers

Find r(t) if r'(t) = 5t4i + 6t5j + t k and r(1) = i + j.

Vladimir [108]

$\mathbf r(t)=\displaystyle\int(5t^4\,\mathbf i+6t^5\,\mathbf j+t\,\mathbf k)\,\mathrm dt$
$\mathbf r(t)=(t^5+C_1)\,\mathbf i+(t^6+C_2)\,\mathbf j+\left(\dfrac12t^2+C_3\right)\,\mathbf k$

Given $\mathbf r(1)=\mathbf i+\mathbf j$ , we have

$\begin{cases}1^5+C_1=1\\\\1^6+C_2=1\\\\\dfrac121^2+C_3=0\end{cases}\implies C_1=0,C_2=0,C_3=-\dfrac12$

so that the particular solution is

$\mathbf r(t)=t^5\,\mathbf i+t^6\,\mathbf j+\dfrac12(t^2-1)\,\mathbf k$

8 0

3 years ago

Ten is the average number of oil tankers arriving each day at a certain port. The facilities at the

vagabundo [1.1K]

Answer:

If 10 is the average then 10 each side would be 20

so that 15 fits into 20 at 3/4

1- 3/4 = 1/4

So the answer is 1/4

Step-by-step explanation:

5 0

2 years ago

Find the rate of change for this linear function Y equals MX plus be

Crazy boy [7]

Y=mx+b is an equation

8 0

3 years ago

Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) Dawn writes 800 pages in 80 da

lilavasa [31]

Given function f(x) which is described by "<span>Dawn writes 800 pages in 80 days".

From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).

Recall that the slope, m, of a line passing through points:
$(x_1,y_1)$ and $(x_2,y_2)$
is given by
$m= \frac{y_2-y_1}{x_2-x_1}$

Function f(x) passes through points (0, 0) and (80, 800).

Thus the slope of function f(x) is given by
$m= \frac{800-0}{80-0} = \frac{800}{80} =10$

Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by
$m= \frac{12-(-6)}{4-2} = \frac{12+6}{2} = \frac{18}{2} =9$

It can be seen that the slope of f(x) and the slope of g(x) are close.
</span>

7 0

3 years ago