Given the sequence below, which of the following is an explicit formula that can be used to find the 41st term of the sequence?

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit

Mademuasel [1]

<u>Answer:</u>

$y = -\frac{2}{3}x + 490$

gradient = = $-\frac{2}{3}$

y-intercept = $490$

<u>Step-by-step explanation:</u>

• The slope-intercept form of an equation takes the general form:

$\boxed{y = mx + c}$ ,

where:

m = slope,

c = y-intercept.

• We are given the equation:

$2x + 3y = 1470$

To change this into the slope-intercept form, we must make y the subject:

$3y = -2x + 1470$ [subtract $2x$ from both sides]

⇒ $y = -\frac{2}{3}x + \frac{1479}{3}$ [divide both sides by 3]

⇒ $y = -\frac{2}{3}x + 490$

• Comparing this equation with the general form equation, we see that:

m = $-\frac{2}{3}$

c = $490$ .

This means that the gradient is $\bf -\frac{2}{3}$ , and the y-intercept is $\bf 490$ .

6 0

1 year ago

Theres more then one! wich of these numbers are written in scientific notation!

mariarad [96]

Step-by-step explanation:

0.92×10^3

I think it helps you

6 0

2 years ago

Brainlist! in what ways could the shape pattern below be described?

creativ13 [48]

A . the 13th spot will have a star

7 0

2 years ago

Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .

Substitute these two values into the equation for this parabola:

$7 = (7 - 6)^{2}\, a + 5$ .

Solve this equation for $a$ :

$7 = a + 5$ .

$a = 2$ .

Hence, the equation of this parabola would be:

$y = 2\, (x - 6)^{2} + 5$ .

4 0

2 years ago

In 2000, Florida's total population was 15,982,378 people and 183 out of every 1000 residents were 65 years and older. Determine

dmitriy555 [2]

Hello! There were 15,982,378 people living in Florida in 2000 and 183 out of 1,000 were ages 65 and over. That's 18.3% of all Florida residents, because 183/1,000 is 0.183 and 0.183 * 1,000 is 18.3. What you could do is multiply the amount of people living in Florida by the percentage, in this case, 18.3% (0.183). When you do that, you get 2,924,775.174 or 2,924,775 when rounded to the nearest whole number. Either way, you can't have part of a person. In the year 2000, there were 2,924,775 Florida residents 65 and older.

5 0

3 years ago