Ask question

Ask question

All categories

3 years ago

11

The function f(x)=0.21x + 13.8 can be used to predict diamond production. For this function, x is the number of years after 2000

, and f(x) is the value in billions of dollars) of the year's diamond production. Use this function to predict diamond production in 2006. The diamond production in 2006 is predicted to be $billion. (Type an integer or a decimal.) Enter your answer in the answer box ?

1 answer:

Debora [2.8K]3 years ago

4 0

Answer:

$\boxed {\boxed {\sf \$15.06 \ billion }}$

Step-by-step explanation:

We are given the function f(x). This is the value of diamond production for the year in billions.

$f(x)= 0.21x+13.8$

We want to find the value of the diamond production in 2006.

We know that x is the number of years after 2000. The year 2006 was 6 years after 2000 because 2006 - 2000 = 6. Therefore, x (years after 2000) is equal to 6. We can substitute 6 in for x.

$f(6)= 0.21(6)+ 13.8$

Solve according to PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

Multiply 0.21 and 6.

$f(6)= 1.26+13.8$

Add 1.26 and 13.8

$f(6)=15.06$

Remember the answer is in billions of dollars.

$f(6)= \$ 15.06 \ billion$

Diamond production in 2006 is expected to be worth <u>15.06 billion dollars.</u>

You might be interested in

The pans shown are balanced. Use the SubtractionProperty of Equality to find which shapes are equalto one purple pyramid.

Bad White [126]

According to the Subtraction property of equality, the equality of an expression holds true if the same finite number is subtracted from both sides of the equality,

$a=b\Rightarrow a-c=b-c$

Now, observe the given figure carefully.

We will use the above-mentioned property to get rid of the common shapes that exist on both sides. Here, the balance represents equality between both sides.

Consider that the pans are initially balanced. And both sides contain a red cube. So we can subtract or eliminate the red cube and the equality will still hold true.

Similarly, we can eliminate the blue sphere.

At this point, we have the purple pyramid and a yellow diamond on the left side, and on the right side, we have 4 pieces of yellow diamond.

Observe that one piece of yellow diamond is common to both sides, so it can also be eliminated from both sides.

After this, the left side will contain only the purple pyramid while the right side contains 3 yellow diamonds. Since we are always using the subtraction property to eliminate the shapes, the balance must be maintained throughout the process.

At last, there must exist a balance between the left side containing the purple pyramid only, and the right side containing 3 yellow diamonds.

Therefore, it can be concluded that one purple pyramid is equal to 3 yellow diamonds.

6 0

1 year ago

Students who attend Washington Middle School are either in seventh or eighth grade. At the end of the first semester 25% of the

Irina18 [472]

Answer:

There are <u>1240</u> students who attended Washington Middle School.

Step-by-step explanation:

Given:

Students who attend Washington Middle School are either in seventh or eighth grade.

At the end of the first semester 25% of the students at Washington Middle School were on the honor roll.

Seventh graders represented 60% of the students on the honor roll.

If 124 students on the honor roll were in eighth grade.

Now, to find the students attend Washington Middle School.

Let the total number of students be $x.$

So, the students at Washington Middle School were on the honor roll:

<u><em>25% of </em></u> $x$ <u><em /></u>

$=\frac{25}{100} \times x$

$=\frac{25x}{100}$

$=\frac{x}{4}$

As, given seventh graders represented 60% of the students.

So, the students on the honor roll represented as seventh graders:

$60\%\ of\ \frac{x}{4}$

$=\frac{60}{100} \times \frac{x}{4}$

$=0.6\times \frac{x}{4}$

$=\frac{0.6x}{4}$

As, 124 students on the honor roll were in eighth graders.

Thus,

According to question:

$\frac{x}{4} -\frac{0.6x}{4} =124$

$\frac{x-0.6x}{4} =124$

$\frac{0.4x}{4} =124$

<em>Multiplying both sides by 4 we get:</em>

$0.4x=496$

<em>Dividing both sides by 0.4 we get:</em>

$x=1240.$

Therefore, there are 1240 students who attended Washington Middle School.

6 0

4 years ago

Which are the prime factors of the polynomial 24x4 – 3x? Check all that apply.

Luba_88 [7]

The prime factors of the polynomial 24x4 – 3x are 3x, 2x -1 and (4x2 + 2x + 1)

<h3>Prime factorization</h3>

Given the polynomial function expressed as:

24x^4 – 3x

Factorize

y = 24x^4 – 3x

Factor out the GCF

y = 3x(8x^3 - 1)

Factor the expression in parenthesis

y = 3x((2x)^3 - 1^3)

y = 3x(2x-1)((2x)^2 + 1^2 +2x)

y = 3x(2x -1)(4x^2 +2x + 1)

Hence the prime factors of the polynomial 24x4 – 3x are 3x, 2x -1 and (4x2 + 2x + 1)

Learn more on prime factorization here: brainly.com/question/92257

#SPJ1

3 0

2 years ago

Help will give Brainly points

laila [671]

Answer:

5.7

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

what equation in slope-intercept form represents the line that passes through the points (-3,4) and (2,-1)

Semmy [17]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -3 &,& 4~) 
% (c,d)
&&(~ 2 &,& -1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-4}{2-(-3)}\implies \cfrac{-1-4}{2+3}\implies -\cfrac{5}{6}$

$\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{5}{6}[x-(-3)]
\\\\\\
y-4=-\cfrac{5}{6}(x+3)\implies y-4=-\cfrac{5}{6}x-\cfrac{5}{2}
\\\\\\
y=-\cfrac{5}{6}x-\cfrac{5}{2}+4\implies y=-\cfrac{5}{6}x+\cfrac{3}{2}$

7 0

4 years ago