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allochka39001 [22]
3 years ago
13

Write an equation in slope intercept form that has a slope of -8 and a y-intercept of 12

Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer: -8x + 12

Step-by-step explanation:

12 will be y-intercept because it crosses the y-axis.

-8 will be slope because it is the rate of change.

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PLZ HELP QUICK-------------->
sveticcg [70]
<h2>>>> Answer <<<</h2>

Let's check which polynomial is divisible by ( x - 1 ) using hit , trial and error method .

A ( x ) = 3x³ + 2x² - x

The word " divisible " itself says that " it is a factor "

Using factor theorem ;

Let;

=> x - 1 = 0

=> x = 1

Substitute the value of x in p ( x )

p ( 1 ) =

3 ( 1 )³ + 2 ( 1 )² - 1

3 ( 1 ) + 2 ( 1 ) - 1

3 + 2 - 1

5 - 1

4

This implies ;

A ( x ) is not divisible by ( x - 1 )

Similarly,

B ( x ) = 5x³ - 4x² - x

B ( 1 ) =

5 ( 1 )³ - 4 ( 1 )² - 1

5 ( 1 ) - 4 ( 1 ) - 1

5 - 4 - 1

5 - 5

0

This implies ;

B ( x ) is divisible by ( x - 1 )

Similarly,

C ( x ) = 2x³ - 3x² + 2x - 1

C ( 1 ) =

2 ( 1 )³ - 3 ( 1 )² + 2 ( 1 ) - 1

2 ( 1 ) - 3 ( 1 ) + 2 - 1

2 - 3 + 2 - 1

4 - 4

0

This implies ;

C ( x ) is divisible by ( x - 1 )

Similarly,

D ( x ) = x³ + 2x² + 3x + 2

D ( 1 ) =

( 1 )³ + 2 ( 1 )² + 3 ( 1 ) + 2

1 + 2 + 3 + 2

8

This implies ;

D ( x ) is not divisible by ( x - 1 )

<h2>Therefore ; </h2>

<h3>B ( x ) & C ( x ) are divisible by ( x - 1 ) </h3>
6 0
3 years ago
Ben and his three friends were ordering pizza. They could spend at most $26. If a large
lutik1710 [3]

Answer:

6 toppings

Step-by-step explanation:

The t in this equation represents the amount of toppings.

22 + 0.65t = 26

-22 -22

0.65t = 4

0.65t/0.65 = 4/0.65

t = 6

They could get 6 toppings and the total would be $25.90.

6 0
3 years ago
A Storage shed has the shape of an upside down cone. The shed has a volume of 209 cubic meters and is 10 meters wide. To the nea
Mrrafil [7]

Answer:

Height = 8 meters

Step-by-step explanation:

Given that

The volume V = 209 cubic meters Diameter = 10 meters

Radius r = 5 metres

How tall is the shed? The question is looking for the height of the cone

Using the formula for volume of a cone.

V = 1/3πr^2h

Where π = 3.14

209 = 1/3 × 3.14 × 5^2 ×h

209 = 3.14/3 × 25h

209 = 78.5h/3

h = 7.99 meters

h = 8 meters

Therefore, the shed is 8 meters tall.

4 0
3 years ago
Write which numbers,if any,are solutions of the inequality. <br><br> N+9&lt;15 N=? 3,5,6,7,9
mash [69]
The answer is
n=6
n<15-9
n<6
8 0
3 years ago
In the equation below, identify the constant ; 4(x+1) -7x = -11
castortr0y [4]

Answer:

It will be A because of if you round it it would be -7

3 0
3 years ago
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