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yawa3891 [41]
3 years ago
11

A sequence is defined that the first term is 4 and each term after the first term is found by adding 4 5 to the preceding term.

What is the 8th term of the sequence?
Mathematics
1 answer:
inna [77]3 years ago
5 0
The 8th term of the sequence is 9.6
Hope this helped! :)
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We see that the slope intercept is y = 8x - 20. So if we substitute x with 2, because x represents the amount of necklaces sold and we are analyzing her net profit after selling 2 necklaces, that gives us y = 8(2) - 20. Which simplifies to y = -4. So by the time Jocelyn sells 2 necklaces, her net profit will be at -4.

7 0
3 years ago
Use the table to identify values of p and g that can be used to factor X2 - x - 12
In-s [12.5K]

Answer:

D. 3 and -4

Step-by-step explanation:

Given the expression, x² - x - 12, let's factorise to find the value of p and q using the table, for which we would have the expression simplified as (x + p)(x + q)

From the table, let's find the values of p and q that would give us -12 when multiplied together, and would also give us -1 when summed together.

Thus, from the table given, the row containing the values of p(3) and q(-4) gives us = -1 (p+q) . p = 3, q = -4 would be our values to use to factor x² - x - 12, as multiplying both will also give us "-12".

Thus, x² - x - 12 would be factorised or simplified as (x + 3)(x - 4)

Therefore, the answer is: D. 3 and -4

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4 years ago
Using the diagram, explain why y =2x+1 and y=2x-3 have no solutions.
AlekseyPX
Because they have the same inclination so if we try to draw them on a diagram they will be parallel to each other.

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Answer:

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Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

First, we could determine the slope (<em>m</em>). The slope is the \displaystyle\frac{rise}{run} of the line, or the number of units it travels up over the number of units it travels to the right.

Notice how each consecutive point moves up 1 unit and right 1 unit. This makes the slope of the line 1/1, which is just 1:

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Now, to find the y-intercept, we must identify the value of y when the line crosses the y-axis.

The line crosses the y-axis at y=3, so therefore, the y-intercept is 3:

y=x+3

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Step-by-step explanation:

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