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4 years ago

Identify the slope and y-intercept of the line y=x+7.

Mathematics

2 answers:

Pachacha [2.7K]4 years ago

7 0

Answer:

1 and 7

Step-by-step explanation:

The <em>slope </em>is the number before x. It is identified as m.

Since we know that any variable by itself, without a coefficient, means that there's a 1 in front of it, we can say that 1 is the slope because there's no coefficient shown.

The <em>y-intercept</em> is the number added or subtracted after the slope and x.

Since we have +7 coming after x, we can say that the y-intercept is 7.

faltersainse [42]4 years ago

6 0

Answer:

The slope equal to 1

and the y-intercept is the point (0,7)

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3 years ago

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3 years ago

Solve the system of linear equations by substitution x-y=-4 2x+y=4

mylen [45]

Answer:

Given:

x-y=-4

2x+y=4

Step-by-step explanation:

x-y=-4

2x+y=4

add both the equation, we get

⇒ x-y=-4

2x+y=4

⇒3x=-4+4

⇒3x=0

⇒x=0

∴ to find the value of y, put the value of x in any one equation

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3 0

3 years ago

This question has two parts. Be sure to answer both parts of the question. One inequality in a system is shown below. -12x + 3y

fgiga [73]

The inequality is -12x + 3y > 9.

PART A:

The sytem has no solution if inequality does not share a common area. The inequality -12x + 3y > 9 consist the region to left of line -12x + 3y = 9. So for no solution the region to left of equation -12x + 3y = 9 is suitable.

Thus inequality for no solution is, -12x + 3y < 9.

PART B:

For infinite solution the region of both inequality must overlap each other, or the inequality is same with some multiplication of divison factor. So inequality for infinite many solutions is,

$\begin{gathered} (-12x+3y>9)\times-1 \\ 12x-3y$

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1 year ago

(a) A mixed hockey team of 11 must have at least 5 boys and at least 5 girls. There are 7 boys and 8 girls available for selecti

guajiro [1.7K]

Answer:

A) I) 49 teams

II)63 teams

B) 28 teams

Step-by-step explanation:

A) a team of 5 boys and 6 Girls

=7C5+ 8C6

= 21+28

= 49 teams

a team of 6 boys and 5 girls

= 7C6 + 8C5

= 7+56

= 63 teams

B) one girl is kept constant already and a guy has injury

Girls remaining to choose from 7

Boys remaining to choose from 6

= 1 +7C5 + 6C5

= 1+21+6

= 28 teams

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3 years ago