F(x) = 3x + 2 What is f(5)? A. 15 B. 17 C. 21 D. 10

Every autumn, the North American Monarch

Stolb23 [73]

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

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Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

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Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

6 0

3 years ago

Find the 30th term of the following sequence. 1, 7, 13, 19,.. 174. 175. 180. 181.

shepuryov [24]

The first term a = 1,

Common difference, d: 7 - 1 = 6.

a(n) = a + (n -1)d,

For 30th term. = 1 + (30 -1)*6

= 1 + 29*6 = 1 + 174 = 175

8 0

3 years ago

What is the slope of this line? Enter your answer in the box. ____.

kati45 [8]

A line parallel to x-axis has 0 slope.

3 0

3 years ago

Read 2 more answers

Lhbui=]\k;m#wqeryuk;'][4 \75'];[pouy64awreygukpl[;'k;yftawe Q$\

lesya [120]

Answer:

Hmmm not sure I can answer that but if you do ever have a question let me know! :)

Step-by-step explanation:

4 0

3 years ago

Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.

Alborosie

Topic:

Multiplying Polynomials

Answer:

Polynomial 1:

Simplified Form: 6x^2 - x - 1

Name by Number of Terms: trinomial

Polynomial 2:

Name by Degree: linear

Name by Number of Terms: binomial

Polynomial 3:

Simplified Form: 2

Name by Degree: constant

Step-by-step explanation:

Polynomial 1:

$(x-1/2)(6x+2)$

$6x^2 - 3x + 2x - 1$

$6x^2 - x - 1$

It has 3 terms, so it's a trinomial.

Polynomial 2:

There is one term with x and x is raised to the first degree, so it's linear.

There are 2 terms, so it's a binomial.

Polynomial 3:

$4(5x^2-9x+7)+2(-10x^2+18x-13)$

$20x^2 - 36x + 28 -20x^2 + 36x - 26$

$28 - 26$

$2$

Since there are no variables and the answer is just 2, it's a constant.

Note: I took a test on this and it seemed to be all correct

3 0

2 years ago