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2 years ago

Find the 16th term for the sequence a(n)=7-2n.

Mathematics

2 answers:

IRISSAK [1]2 years ago

8 0

Just plug in 16 for n

a(16) = 7 - 2(16)

a(16) = 7 - 32

a(16) = -25

so the answer is -25

N76 [4]2 years ago

3 0

In the expression that you are given, n is the is number in the sequence. So in this scenario, n=16. So substitute the 16 into the equation. $a(n)=7-2(16)=7-32=-25$ . So the 16th term in the sequence is -25.

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Solve each system by substitution.<br> y = 2x + 5<br> 3x - y= -6

castortr0y [4]

X=-1 and y=3

To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.

You now have 3x - (2x + 5) =-6

This can be solved like a normal equation. Multiply each term in the parenthesis by -1.

3x - 2x - 5 = -6

Subtract 2x from 3x

x - 5 = -6

Add 5 to both sides

x=-1

Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.

y= 2(-1)+5
y= -2+5
y=3

You can check your answer by plugging in the values for x and y into both equations and making sure both sides equal each other.

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3 years ago

Line t passes through points (10, 4) and (7, 9). Line u is parallel to line t. What is the slope of line u?

Margarita [4]

Answer: 3/5

Step-by-step explanation:

concept to know: the slope of perpendicular line is always opposite reciprocal

----------------------

Step 1. Find the slope of line t

(y2-y1)/(x2-x1)

=(4-9)/(10-7)

=-5/3

-------------------

Step 2. Apply the concept

Opposite reciprocal of (-5/3)=3/5

Hope this helps!! :)

Please let me know if you have any question

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3 years ago

Monkey chunk cereal is normally $3.25 per box but today it is on sale for 25% what is the new price round to the nearest penny

ANEK [815]

Is it meaning the cereal is 25% off? If so then your answer would be $2.44

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2 years ago

How to do the problem

trapecia [35]

Step-by-step explanation:

$g(0.5) = 2 \\ \\ h(x) = g(x).f(x) \\ \therefore \: h(2) = g(2).f(2) \\ \therefore \: h(2) = 5 \times 2\\ \therefore \: h(2) = 10\\ \\ \\ j(x) = g(x) - f(x) \\ \therefore \: j(4) = g(4) - f(4) \\ \therefore \: j(4) = 9 - 8\\ \therefore \: j(4) = 1\\ \\ \\$

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2 years ago

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OleMash [197]

Answer:

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Step-by-step explanation:

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