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2 years ago

Which expression can be used to find the nth term for the sequence below?

1 answer:

8 0

So the general formula is:

a(n)=1+n^2

Let's check:

a(1)=1+1^2=1+1=2

a(2)=1+2^2=1+4=5

a(3)=1+3^2=1+9=10

a(4)=1+4^2=1+16=17

The next numbers in the sequence should be:

a(5)=1+5^2=1+25=26

a(6)=1+6^2=1+36=37 etc.

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Rosita can wax her car in 2 hours or 120 minutes. When she works together with Helga, they can wax the car in 45 minutes. How lo

Mashcka [7]

<h2>Time taken by Helga to wax the car is 72 minutes</h2>

Step-by-step explanation:

Let w be the work of waxing.

Rosita can wax her car in 2 hours or 120 minutes.

Time taken by Rosita = 120 minutes

$\texttt{Rate of Rosita = }\frac{W}{120}$

Let time taken by Helga be t,

$\texttt{Rate of Helga = }\frac{W}{t}$

When she works together with Helga, they can wax the car in 45 minutes.

We have

$\frac{W}{\frac{W}{120}+\frac{W}{t}}=45\\\\120t=45(120+t)\\\\120t=5400+45t\\\\t=72minutes$

Time taken by Helga to wax the car is 72 minutes

6 0

3 years ago

What is the product? (9 t minus 4)(negative 9 t minus 4) negative 81 t squared minus 16 negative 81 t squared + 16 negative 81 t

liraira [26]

The product is negative 81 t squared + 16 ⇒ 2nd answer

Step-by-step explanation:

The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant

Multiply (ax) by (cx) ⇒ 1st × 1st
Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears
Add the two products ⇒ like terms
Multiply (b) by (d) ⇒ 2nd × 2nd

Let us find the product of (9 t - 4) and (-9 t - 4)

Multiply the 1st two terms

∵ (9 t)(-9 t) = -81 t²

Multiply the ext-reams

∵ (9 t)(-4) = -36 t

Multiply the nears

∵ (-4)(-9 t) = 36 t

Add the like terms

∵ -36 t + 36 t = 0

Multiply the 2nd two terms

∵ (-4)(-4) = 16

Write the answer

∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16

∴ (9 t - 4)(-9 t - 4) = -81 t² + 16

The product is -81 t² + 16

Learn more:

You can learn more about the product of algebraic expressions in brainly.com/question/1617787

#LearnwithBrainly

7 0

3 years ago

Read 2 more answers

Rainbow bread company delivered a total of 180 loaves of bread to three markets. Savemart received 12 more loaves than vons. Ral

sasho [114]

Let vons market receive x loaves. Then savemart received x+12 loaves and Ralphs received x + 12 + 6 = x + 18 loaves, Therefore:-

x + x + 12 + x + 18 = 180

3x + 30 = 180

3x = 150

x = 150/3 = 50

So vons received 50, savemart received 62 and ralph's received 68 loves. Answer

8 0

2 years ago

Someone please help<br><br>The table shows values for functions f(x) and g(x) .

viva [34]

The answer to the question is x = 0

6 0

2 years ago

Read 2 more answers

Help me with answering this question

Ksju [112]

Answer:

x-intercept is (-4,0) and the y-intercept is (0,-2

Step-by-step explanation:

There are 2 ways to find the y-intercept. One way is to put the equation in slope-intercept form. However, there is a more efficient way as well.

Another way to do it is to plug 0 in for x and y. The x-intercept will have the coordinate of (x,0). So to find the x-intercept you can plug in 0 for y and solve for x. To find the y-intercept do the opposite and plug 0 in for x.

So, first, plug 0 in for y

x+2(0)=-4
x+0=-4
x=-4

Then plug in 0 for x

0+2y=-4
2y=-4
y=-2

Therefore, the x-intercept is (-4,0) and the y-intercept is (0,-2).

6 0

2 years ago