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3 years ago

The line containes the point (-8,11) and has a y intercept of 5

Mathematics

1 answer:

kicyunya [14]3 years ago

5 0

Step-by-step explanation:

Since, line contains the point (-8, 11) and has a y intercept of 5.

Therefore, line passes through the points (-8, 11) and (0, 5)

Equation of line in two point form is given as:

$\frac{y-y_1 }{y_1 - y_2 } = \frac{x-x_1 }{x_1 - x_2 } \\ \\ \therefore \: \frac{y-11 }{11 - 5 } = \frac{x-( - 11) }{ - 11 - 0 } \\ \\ \therefore \: \frac{y-11 }{6 } = \frac{x + 11 }{ - 11 } \\ \\ \therefore \: - 11(y-11 )=6 (x + 11) \\ \\ \therefore \: - 11y + 121=6 x + 66 \\ \\ \therefore \: 0=6 x + 11y + 66 - 121 \\ \\ \red{ \boxed{\therefore \: 6 x + 11y - 55 = 0}}$

Hence, 6x + 11y - 55 = 0 is the required equation of line.

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Mr. Kim borrows $3,000 to pay for house repairs. The simple interest is 8% for one year.

Archy [21]

Answer:

3240

Step-by-step explanation:

If the simple interest is 8%, Mr. Kim will have to pay $3000, and the simple interest, which will be 8% of $3000.

You can write it in two ways:

3000+3000*0.08= 3240

3000*1.08= 3240

5 0

3 years ago

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Which function can be used to represent the graphed geometric sequence? f(x) = 80(One-fourth) Superscript x minus 1 f(x) = 320(O

telo118 [61]

You can use the formula for getting the xth term of a geometric sequence for the graphed points.

The function that represents the graphed geometric sequence is given by

Option A: $f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

<h3>What is a geometric sequence and how to find its xth terms?</h3>

There are three parameters which differentiate between which geometric sequence we're taking about.

The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
The third parameter is the length of the sequence. It can be finite or infinite.

Suppose the initial term of a geometric sequence is $a$ and the term by which we multiply the previous term to get the next term is $r$

Then the sequence would look like

$a, ar, ar^2 , ar^3 ....$

(till the terms to which it is defined)

Thus, the xth term of such sequence would be

$f(x) = \text{xth term} = ar^{x-1}$

<h3>How to find the function representing the graphed geometric sequence?</h3>

The points plotted in the graph are

(1,80), (2, 20), (3, 5)

The x coordinate shows the position of the term and the y coordinate shows the value of that position's term in the sequence.

So we have the sequence as

$80, 20, 5 ...$

Thus, a = 80

and we have

$r = \dfrac{ar}{a} = \dfrac{20}{80} = \dfrac{1}{4}$

Thus, the multiplication factor for the given sequence is r = 1/4

Thus, by using the xth term formula, we have:

$f(x) = \text{xth term} = ar^{x-1} = 80 \times (\dfrac{1}{4})^{x-1}\\\\f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

Thus,

The function that represents the graphed geometric sequence is given by

Option A: $f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

Learn more about geometric sequence here:

brainly.com/question/11266123

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3 years ago

Pam bought 82.68 yards of striped fabric and 44.38 yards of floral fabric. How many more

lawyer [7]

Answer:

$8 per yard of fabric

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8 divided by 3 = 2.67(rounded)

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3 years ago

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Fractions that have different denominators are called

scoray [572]

They are called unike fractions. If u would want to do anything to them u would have to make the denominaters the same

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4 years ago

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The actual length of side t is 0.045 cm. Use the scale drawing to find the actual side length of w.

Nataly_w [17]

Answer:

Actual length of w is 0.075 units.

Step-by-step explanation:

Given the actual length of side t is 0.045 cm.

we have to use the scale drawing to find the actual side length of w.

As given the actual length of t is 0.045 cm.

Hence, we can find the scale factor using the lengths of t i.e actual length and after scale drawing by dividing.

Scale factor is $\frac{0.9}{0.045}=20$

Hence, we get the scale factor.

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Option B is correct.

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3 years ago

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