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2 years ago

Write the equation of the line that passes through the points (0,8) and (-1,-4).

Mathematics

1 answer:

Anettt [7]2 years ago

5 0

Step-by-step:

Use slope formula to find the slope. (y - y)/(x - x)

Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So

8 - -4 goes on top, that's 12

0 - -1 goes under, thats 1

12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.

y - y = m(x - x)

y - 8 = 12(x - 0)

y - 8 = 12x

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The geometric sequence a i a i a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 =8a, start subscr

frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0

3 years ago

If x/y= 8 what is the value of 16y/x

mina [271]

Answer:16

Step-by-step explanation:

8 0

3 years ago

Solve the equation and check your answer. 0.95 t plus 0.05 left parenthesis 100 minus t right parenthesis equals 0.49 left paren

Triss [41]

<h2>Answer:</h2>

The value of t is:

t=48.8889

<h2>Step-by-step explanation:</h2>

We are asked to solve the linear equation in terms of variable t.

The equation is given by:

$0.95t+0.05(100-t)=0.49(100)$

Firstly we will solve the parentheses term in the left and right hand side of the equality as follows:

$0.95t+0.05\times 100-0.05t=49$

Now we combine the like terms on the left side of equality by:

$0.95t-0.05t+5=49\\\\i.e.\\\\0.90t+5=49$

Now we subtract both side of the equation by 5 to get:

$0.90t=44$

Now on dividing both side of the equation by 0.90 we get:

$t=\dfrac{44}{0.90}\\\\i.e.\\\\t=48.8889$

Hence, the value of t is: 48.8889

7 0

3 years ago

34xy What are the factors of the expression? 3/4,

Liula [17]

Let's find our own factors of 34xy. They include 2, 17, x and y.

6 0

3 years ago

PLEASE SOMEONE ANSWER THIS ASAP !!!!!!!!!

kotykmax [81]

Answer:

for the second one,

f(4)= 2⁴-7= 9

g(4)= 1.5x4-3= 3

therefore 9>3

f(4)>g(4)

8 0

3 years ago