Ask question

Ask question

All categories

3 years ago

7

X2-2x=8

rmula1" title="x { }^{2} - 2x = 8 \\ \\ " alt="x { }^{2} - 2x = 8 \\ \\ " align="absmiddle" class="latex-formula">

1 answer:

iris [78.8K]3 years ago

4 0

I hope this helps :)!

You might be interested in

(21−3i) divided by (−3+9i)

MissTica

Answer:

Step-by-step explanation:

=\left(21\left(-3\right)-\left(-3\right)\cdot \:9\right)+\left(21\cdot \:9+\left(-3\right)\left(-3\right)\right)i

6 0

4 years ago

A spherical balloon is inflated so that its volume is increasing at the rate of 2.7 ft3/min. How rapidly is the diameter of the

Mice21 [21]

The formula for volume of a sphere is
$V=\frac{4}{3}\pi r^{3}$
$\rightarrow\frac{dV}{dt}=4\pi r^{2}\frac{dr}{dt}$

If the diameter is 1.3, then $r=\frac{1.3}{2}=0.65$

We are given
$\frac{dV}{dt}=2.7$ and $r=0.65$
$\rightarrow2.7=4\pi(0.65)^{2}\frac{dr}{dt}$
$\rightarrow\frac{dr}{dt}=\frac{2.7}{4\pi(0.65)^{2}}\approx0.5085\ ft/min$

Change in diameter is twice change in radius, so we get 2*0.5085=1.017 ft/min

5 0

4 years ago

how do the graphs of f(x) = sin x and g(x) = sin2x+3 compare. Must make two selections of the following that apply.

Elena L [17]

Answer:

The correct options are:

g(x) is shifted three units higher than f(x).

g(x) has a period that is half the period of f(x).

Step-by-step explanation:

We have to compare the graphs of the function:

$f(x)=\sin x$

and $g(x)=\sin 2x+3$

We have to select the correct options among the following:

As we know that the period of sine function is 2π.

i.e. Period of function f(x) is: 2π.

The period of sin(2 x) is π.

Hence, the period of the function g(x) function is π.

Hence, the period of g(x) is half the period of f(x).

Also we could observe that g(x) is shifted 3 units upward.

3 0

3 years ago

Read 2 more answers

The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f

Anton [14]

Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

Direct proportion means that two quantities increase or decrease in the same ratio

If y is directly proportional to x (y ∝ x) , then $\frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}$ <em>OR</em> y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

proportional to the square of its speed s

- That means d ∝ s²

∴ $\frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}$

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵ The car require to stop from a speed of 48 miles per hour

on the same road

- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵ $\frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}$

- Substitute the values of $d_{1}$ by 75 feet, $s_{1}$ by 158400 feet/hour

and $s_{2}$ by 253440 feet/hour

∴ $\frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}$

∴ $\frac{75}{d_{2}}=\frac{25}{64}$

- By using cross multiplication

∴ 25 × $d_{2}$ = 75 × 64

- Divide both sides by 25

∴ $d_{2}$ = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0

3 years ago

The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.

shepuryov [24]

See the attached picture for the solution:

7 0

3 years ago

Read 2 more answers