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2 years ago

In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.

Mathematics

1 answer:

fomenos2 years ago

6 0

Answer:

d = 4

Step-by-step explanation:

a7 = -9

a19 = 39

We know the formula for an arithmetic sequence is

an = a1+d(n-1)

Using the givens:

a7 = -9 = a1 +d(7-1)

a19 = 39 =a1 +d(19-1)

Subtracting these equations

-9 = a1 +d(6)

39 =a1 +d(18)

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

-48 = 0 -12 d

Divide by -12

4 =d

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F(x)=x2+1<br> g(x)=2x-5<br> Find f(x)-g(x)

Alona [7]

Answer:

Step-by-step explanation:

x^2 + 1 -2x + 5

x^2 - 2x + 6

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3 years ago

In the inequality 1/ 2 x - 6 > 10, x represents Todd's age. Which phrase most accurately describes Todd's age? A) Todd is old

Tom [10]

Answer:

Option A) Todd is older than 32

Step-by-step explanation:

we have

$\frac{1}{2}x-6>10$

Solve for x

Adds 6 both sides

$\frac{1}{2}x>10+6\\\\\frac{1}{2}x>16$

Multiply by 2 both sides

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therefore

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2 years ago

Area of the following kite?

MakcuM [25]

Answer:

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-lvr

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3 years ago

Read 2 more answers

Bryan made up a game. Each team starts with seven points. Each time a team answers a question correctly, they earn five points.

Margaret [11]

The given equation is:
t = 7 + 5q
where:
t is the total number of points
q is the questions answered correctly

We are given that the total of correct answers is 6 and we want to find the total number of points. Therefore, all we have to do is substitute with the number of answers in the given equation to get the total points as follows:
t = 7 + 5q
t = 7 + 5(6)
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3 years ago

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Which phrase describes the algebraic expression 6x?

topjm [15]

Answer:

The product of 6 and a number

Step-by-step explanation:

There isn't any "real" mathematics needed to find the answer, just common background knowledge:

6x = 6 times x,

and product is referencing multiplication

(Since quotient is for division, difference for subtraction, and sum for addition)

considering we need to represent an expression which uses multiplication in words, the correct answer is:

O the product of 6 and a number

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2 years ago