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8 months ago

Image is the equation

Mathematics

1 answer:

Leni [432]8 months ago

6 0

Answer:

y = $\frac{3}{4}$ x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = $\frac{3}{4}$ , then

y = $\frac{3}{4}$ x + c ← is the partial equation

to find c substitute (- 4, 5 ) into the partial equation

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = $\frac{3}{4}$ x + 8 ← equation of line

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Eli wants to combine 0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid solution. He needs to dete

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2 years ago

Which of the following expressions is equal to the expression 4x-2(3x-9)? 18-2x,-10x-18,-2x-18,10x-18

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3 years ago

How would I solve for x?

vaieri [72.5K]

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2 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

BabaBlast [244]

Step-by-step explanation:

the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).

I think your teacher made a mistake, or you made one when typing the question in here.

there is no factor r that creates

15×r = 9

and

9×r = 5/27

it would mean that

15 × r² = 5/27

r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81

r = 1/9

but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9

and 9 × 1/9 = 9/9 = 1 is NOT 5/27

so, this can't be right.

on the other hand

15 × r = 9

r = 9/15 = 3/5

and then

9 × 3/5 = 27/5

so, either the sequence should have been

15, 5/3, 5/27

or (and I suspect this to be true)

15, 9, 27/5

under that assumption we have

s1 = 15

r = 3/5

sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)

s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =

= 3 × 19683/390625 = 59049/390625 =

= 0.15116544 ≈ 0.151

6 0

2 years ago