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3 years ago

8

A jeweler wants to make 1600 grams of 25% silver compound by mixing 20% and 40% silver compounds together. How many grams of eac

h kind will she need?

1 answer:

Katarina [22]3 years ago

6 0

The answer is 560 because you multiply 1600 times 35 percent.

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The profit from a business is

GuDViN [60]

First of all we will understand the question!!

<em>The</em><em> </em><em>question</em><em> </em><em>is</em><em> </em><em>saying</em><em> </em><em>that</em><em> </em><em>you</em><em> </em><em>are</em><em> </em><em>given</em><em> </em><em>a</em><em> </em><em>function</em><em> </em><em>and</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>which</em><em> </em><em>will</em><em> </em><em>give</em><em> </em><em>the</em><em> </em><em>maximum</em><em> </em><em>profit</em><em>.</em><em>.</em><em>.</em><em> </em><em>Lets</em><em> </em><em>solve</em><em> </em><em>it</em><em> </em><em>by</em><em> </em><em>finding</em><em> </em><em>the</em><em> </em><em>extrema</em><em> </em><em>using</em><em> </em><em>the</em><em> </em><em>vertex</em>

<em> $\rm \: p(x) = - 5 {x}^{2} + 30x + 8$ </em>

<u>Identify the coefficients a and b of the quadratic function</u>

<em> $\rm \: p(x) = { - 5x}^{2} + 30x + 8 \\ \rm \: a = - 5 \: and \: b \: = 30$ </em>

<u>Since a<0, the function has the maximum value at x, calculated by substituting a and b into x=-b/2a</u>

<u> $\rm \: x = \frac{30}{ 2 \times (- 5)}$ </u>

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>x</u><u> </u>

<u> $\rm \: x = 3$ </u>

<u>The maximum of the quadratic function is at </u><u>x</u><u>=</u><u>3</u>

3 0

2 years ago

I will give brainlest help plssss

Charra [1.4K]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Consider the function f(x) = √5x + 15 for the domain [-3, ∞).Find f-¹(x), where f-1 is the inverse of f.Also state the domain of

Ymorist [56]

Answer: We have to find the inverse function of the following:

$f(x)=\sqrt{5x+15}\rightarrow[-3,\infty)\Rightarrow(1)$

The Inverse of the (1) is as follows:

$\begin{gathered} f(x)=y=\sqrt{5x+15} \\ \\ \text{ Switch: }x\text{ and }y\text{ and solve for }y(x)\text{ } \\ \\ \\ y=\sqrt{5x+15}\rightarrow x=\sqrt{5y+15} \\ \\ \\ x^2=5y+15 \\ \\ \\ x^2-15=5y \\ \\ \\ y=\frac{x^2}{5}-\frac{15}{5} \\ \\ \\ \\ y=f^{-1}(x)=\frac{x^2}{5}-3 \\ \\ \\ f^{-1}(x)=\frac{x^{2}}{5}-3 \end{gathered}$

The domain of the inverse function is:

$x\in(-\infty,+\infty)$

3 0

1 year ago

Mark was able to save $800 in 5 weeks. At the same rate, how much could he save in 8 weeks?

Vilka [71]

Answer:

<h2>$1,280</h2>

Step-by-step explanation:

Since the rate is constant, we can do the following method.

$\frac{800dollars}{5 weeks}$ = $160 is saved per week.

Now, multiply the amount of money for 1 week by 8.

$160 × 8 = $1,280

<em>I hope this helps! I would really appreciate it if you would please make me brainliest! Have a blessed day!</em>

<em />

5 0

3 years ago

Read 2 more answers

An oil tank is being filled at a constant rate the depth of the oil is a function of the number of minutes has been filling, as

satela [25.4K]

We are given time in minutes.

According to given table, we are given times 0 minute, 10 minutes and 15 minutes.

And depths are given 3, 5 and 6.

Times represents x coordinates and depths represents y-coordinates.

First we need to find the depth of the tank in per unit time( in a minute).

In order to find the depth of the tank in per unit time, we need to find th slope between two coordinates.

Let us take first two coordinate made using table (0,3) (10,5)

We know, slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Plugging values in slope formula, we get

m= $\frac{5-3}{10-0}=\frac{2}{10}=\frac{1}{5}$

We got slope m= 1/5=0.2.

We can say that depth of the tank is increasing by rate 0.2 per minute.

From the given table, we can see that for x=0, y value is 3.

Therefore, y-intercept is 3.

Let us write an equation of the line for given table in slope-intercept form y=mx+b.

Plugging values of m and b in slope-intercept form, we get

y= 0.2x+3.

We need to find the depth after 1/2 hours.

1 hour = 60 minutes,

Therefore, 1/2 hours = 60/2 = 30 minutes.

Plugging value of x=30 in above slope-intercept form of the equation, we get

y= 0.2(30)+3.

y= 3+6 = 9.

y=9

Therefore, the depth of the oil 1/2 hour after filling begins is 9 units.

5 0

3 years ago