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3 years ago

Solve for x. 10x2 – 29x – 21 = 0

Mathematics

1 answer:

Nitella [24]3 years ago

5 0

There are two plausible answers
1. x = -3/5 = -0.600
2.x = 7/2 = 3.500

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What is the solution to 6|3x+5| less than equal to 14?

zimovet [89]

In this case there will be 2 solutions to solve for in this equation, both will equal plus and minus the answer. Which is 14.

6(3x + 5) = +_ 14

The solutions will be the following :

(14/6 - 5)/3

(-14/6 - 5)/3.

3 0

3 years ago

Isreal has $57 in the bank. He adds $32 to it each month. He wants to buy a bike that cost $435. Every month the bike's price is

wlad13 [49]

Answer:

Step-by-step explanation:

57 + 32x equals 435 - 10x

42 x equals 378

x equals 9

5 0

3 years ago

Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0

Norma-Jean [14]

Answer:

$Length =5$

$Width = 2$

Step-by-step explanation:

Given

$Length =x$

$Width = x -3$

$Area = 10$

$x(x-3) =10$

See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

$x(x-3) =10$

Open bracket

$x^2 -3x = 10$

Equate to 0

$x^2 -3x - 10 =0$

Expand

$x^2 + 2x - 5x - 10 = 0$

Factorize

$x(x + 2) - 5(x + 2) = 0$

Factor out x + 2

$(x - 5)(x + 2) = 0$

Solve for x

$x - 5 = 0$ or $x + 2 = 0$

$x = 5$ or $x = -2$

The value of x cannot be negative

So:

$x = 5$

Recall that:

$Length = x$

$Width = x - 3$

So:

$Length =5$

$Width = 2$ ---- i.e. 5 - 3

6 0

3 years ago

Write down the nth term of the sequence 5, 8, 13, 20, 29

amid [387]

Hello! To find any number in the arithmetic sequence we can use a formula!

It is given by $a_n =a_1+(n-1)d$

The geometric sequence formula goes by $S_n = \frac{a_1(1-r^n)}{1-r}$

So for this we notice that there's a start of 5 and is being added 3 to get 8.

and then each time it is added by 2 more to get the next time

5
5+ 3 = 8
8 + 5 = 13
13 + 7 = 20
20 + 9 = 29
29 + 11 = 41
41 + 13 = 54
54 + 15 = 69
69 + 17 = 83

Your formula is $a_n = (n-1)^2 + 4

$
Where n starts at 2 not 1

8 0

3 years ago

Find the slope of each line

melamori03 [73]

Answer:

0, -2/3

Step-by-step explanation:

5 0

3 years ago