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3 years ago

6

The graph represents the cost of a subscription to a newspaper

1 answer:

andrezito [222]3 years ago

3 0

B- $7.50. Take 30 and divide it by 4, and you get your weekly subscription cost.

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5 10 15 20 17th term

Burka [1]

<h3><u>The 17th term is 85.</u></h3>

We can create a function here to solve for the 17th term easily.

Every term is increasing by 5, so we know what the function is:

y = 5x

All we need to do is replace x with 17 to find the solution.

y = 5(17)

y = 85

6 0

3 years ago

Read 2 more answers

The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

3 years ago

What is the constant term in the expansion of the binomial (2x + 3)3?

guajiro [1.7K]

The answer is 27 but I am not sure I hope my calculations ain't wrong

4 0

3 years ago

Identify the percent change <br><br> 28 seconds to 23 seconds

Zarrin [17]

Percent change=change/original times 100
chane=28-23=5
oriiginal=28

percent change=5/28 times 100
0.178 times 100
17.8

about 18% change

4 0

3 years ago

There are 15 books on a shelf. 9 of these books are new. The rest of them are used. what is the ratio of all books

Andrew [12]

Answer:

a)15:6 b)2:3

Step-by-step explanation:

No. of used books=15-9=6

a) 15:6

b)

6:9

2:3

6 0

3 years ago