ANSWER THIS QUESTION ASAP

What is the y-intercept of a line that has a slope of 1 over 4 and passes through point (8, 3)?

tatuchka [14]

Answer:

y=1/4+1

The y-intercept is 1.

When you plug in the numbers 8 and 3 in the correct spots from the equation, you should be able to get 3=3, which is true.

I first got this equation by starting out with y=1/4x

I then plugged in 8 in x and multiplied it with 1/4, getting the answer of 2.

What plus 2 equals 3? That answer is 1. So, y=1/4x+1

Hope I helped!

8 0

3 years ago

Read 2 more answers

Given limit of f (x) = negative 4 as x approaches c and limit of g (x) = one-fifth as x approaches c. what is limit of left-brac

sergey [27]

Since the limit of f(x) is non-zero, the limit distributes over the quotient and

$\displaystyle \lim_{x\to c} \frac{g(x)}{f(x)} = \frac{\displaystyle \lim_{x\to c}g(x)}{\displaystyle \lim_{x\to c}f(x)} = \frac{\dfrac15}{-4} = \boxed{-\frac1{20}}$

8 0

2 years ago

Which sequences are geometric sequences? Check all that apply. 4, 2, 1, One-half,One-fourth,... −2, 3, −4, 5, −6, … 2, 6, 18, 54

hjlf

Answer:

(1)We get that all terms have same $(r)$ then It is a Geometric Sequence.

(2)We get Common ratio of given sequence is not same. It is not an geometric sequence.

(3)We get the common ratio is same then it is a Geometric Sequence

(4)We get the common ratio is same then it is a Geometric Sequence.

(5)We get Common ratio of given sequence is not same. It is not an geometric sequence.

Step-by-step explanation:

Here, The Geometric Progression in the form:

$G.P: a, ar, ar^{2}, ar^{3}, ar^{4}, ar^{5}........................................., ar^{n-1}, ar^{n}.$

Where $a - First\ term\\r - Common \ ratio\\n - Number\ of\ terms\ of\ an\ progression$

So, Check all that apply.

(1) $4,2,1,\frac{1}{2},\frac{1}{4}$

For the geometric Sequence Common ratio $(r)$ must be same.

⇒ $r= \frac{ar^{n} }{ar^{n-1} }$

Then, Finding $(r)$ for given sequence

$r=\frac{a_{2} }{a_{1} } =\frac{a_{3} }{a_{2} } =\frac{a_{4} }{a_{3} }............................\frac{ar^{n} }{ar^{n-1} } .$

∴ $r= \frac{2}{4}=\frac{1}{2}=\frac{\frac{1}{2} }{1} =\frac{\frac{1}{4} }{\frac{1}{2} }$

⇒ $r= \frac{1}{2}=\frac{1}{2}=\frac{1}{2} } = \frac{1}{2} }$

Clearly,

We get that all terms have same $(r)$ then It is a Geometric Sequence.

(2) $-2, 3,-4,5,-6.........$

Same as above we will check the common ratio

⇒ $r=\frac{3}{-2} =\frac{-4}{3} =\frac{5}{-4}=\frac{-6}{5}$

⇒ $r=\frac{3}{-2} \neq \frac{-4}{3} \neq \frac{5}{-4}\neq \frac{-6}{5}$

Clearly,

We get Common ratio of given sequence is not same. It is not an geometric sequence.

(3) $2,6,18,54,162.................$

Now checking common Ratio $(r)$

⇒ $r=\frac{6}{2} =\frac{18}{6} =\frac{54}{18}=\frac{162}{54}$

⇒ $r=3=3=3=3$

Therefore,

We get the common ratio is same then it is a Geometric Sequence.

(4) $-4,-16,-64,-256.........$

Now checking common Ratio $(r)$

⇒ $r=\frac{-16}{-4} =\frac{-64}{-16} =\frac{-256}{-64}$

⇒ $r=4=4=4$

Therefore,

We get the common ratio is same then it is a Geometric Sequence.

(5) $-2,-4,-12,-48,-240............................$

Now checking common Ratio $(r)$

⇒ $r=\frac{-4}{-2} =\frac{-12}{-4} =\frac{-48}{-12}=\frac{-240}{-48}$

⇒ $r= 2\neq 3\neq 4\neq 5$

Clearly,

We get Common ratio of given sequence is not same. It is not an geometric sequence.

8 0

3 years ago

Read 2 more answers

Which of the following is a geometric sequence?

tatuchka [14]

Answer:

1, 3, 9, 27, 81, ...

Step-by-step explanation:

right on edg

4 0

4 years ago

Ken has a total of 74 notes. They are either $2 or $5 notes. He has 16 more pieces of $5 notes than $2 notes. Find the total val

Anton [14]

Answer:

$283

Step-by-step explanation:

Let,

x - for $2 notes

x + 16 - for $5 notes

EQUATION:

(x) + (x + 16) = 74

2x = 74 - 16

2x = 58

x = 29

SUBSTITUTE

x = 29 pieces of $2 notes

x + 16 = 29 + 16 = 45 pieces of $5 notes

TOTAL VALUE IS:

(29 x $2) + (45 x $5) = $283

5 0

2 years ago