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2 years ago

A line goes through the points (4, 5) and (2,-6). Write the equation of the line in slope-intercept

Mathematics

1 answer:

kompoz [17]2 years ago

8 0

Answer: 11/2x - 17

Step-by-step explanation:

First find the slope.

I learned this doing the y2-y1 method.

Do -6 - 5 which equals -11

And 2 - 4 = -2

This makes -11/-2 = 11/2

Then if you you were to graph,, find two points which should give you -17.

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A container holds 13 quarts of water. How much is this in gallons?

patriot [66]

Answer:

3 1/4 gallons or 3.25 gallons

Step-by-step explanation:

6 0

2 years ago

How do I do this and what’s the answers?

Iteru [2.4K]

Answer:

a.5years=300 rabbits

b. 50 years(multiply 50 by 300)

Step-by-step explanation:

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4 0

2 years ago

Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

ANSWER

$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
$f(x)$

is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

According to the remainder theorem,
$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

3 0

2 years ago

1 PERFORMANCE - Essay

Amiraneli [1.4K]

Answer:

Thus the length = 230 and width = 90.

Step-by-step explanation:

Farmer Fernanda wants to put a fence around her rectangular field. The length of the field is 40 feet less than 3 times the width.

She has 320 feet of fencing.

Let the length of the rectangular fence be x and the width of the fence be y.

Then the relation between them is

x = 3y - 40

Also x + y = 320

Solving these equations,

320 - y = 3y - 40

4y = 360

y = 90

x = 230

Thus the length = 230 and width = 90.

7 0

2 years ago

A. Sam purchased 3 games for $140 after a discount of 30%. What was the original price?

Semmy [17]

Answer:

a) $175 b) It will be $126

Step-by-step explanation:

Cost price of 3 games= $140

Let the original price of games= $ x

Discount is given= 30%

According to question

x $\frac{(100-20)}{100}$ = $140

x $\frac{80}{100}$ = $140

x ×0.8= $140

x= $ $\frac{$140}{0.8}$

x= $175

Hence, the original price of games $ 140

(b) If Sam had given a discount of 20%

Again a discount = 10%

The price of games=$ 140

Now, the selling price will be= 175 $\frac{(100-20)}{100}$ × $\frac{(100-10)}{100}$

Now, the selling price will be= $ 126

Hence, the price will be different.

7 0

2 years ago