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2 years ago

For the line that passes through the points (0, 2) and (-6, 0), the x-intercept is and the y-intercept is

Mathematics

2 answers:

irina [24]2 years ago

7 0

Answer:

The x-intercept is (-6, 0) and the y-intercept is (0, 2)

Step-by-step explanation:

We are already given points where x = 0 and y = 0

The x-intercept is when y = 0

The y-intercept is when x = 0

So the x-intercept is (-6, 0)

and the y-intercept is (0, 2)

Over [174]2 years ago

5 0

Answer:

x-intercept= -6

y-intercept=2

Hope this helps!

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Determine the relationship between the two vecors

asambeis [7]

Answer:

Step-by-step explanation:

Since there exists a scalar

(namely

λ=a⋅b

) such that

b=λa

, the directions of the two vertices are the same (they are collinear). This implies that

|a⋅b|=|a||b|

So,

|a|=|(a⋅b)b|=|a||b||b|

which implies that

|b|=1

6 0

3 years ago

In Everglades National Park in Florida, there are 200 species of birds that migrate. This accounts for 2/7 of all the species of

S_A_V [24]

Answer:

A) 2/7y=200

B) There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280

Step-by-step explanation:

Total number of species of birds that migrate = 200

We are given that of all the species of birds are sighted in the park

a)Write an equation to find the number of species of birds that have been sighted in Everglades National Park.

Let y be the number of species of birds that have been sighted in Everglades National Park.

We are given that of all the species of birds are sighted in the park

So, 2/7y=200

y=200x7/4

y=280

B)There are 600 species of plants in Everglades National Park. Are there more species of birds or plants in the park?

So, There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280

7 0

3 years ago

What is two-thirds a number plus 4 is 7

andriy [413]

2/3x + 4 = 7
   -4    -4
4 cancels out.
2/3x = 3
x 3    x3
6/3 = 2x = 9
   /2 /2
2 cancels out.
x = 9/2 = 4.5

3 0

3 years ago

Read 2 more answers

You work for a company that produces custom picture frames. A new customer needs to frame a piece of rectangular artwork with di

miskamm [114]

Answer:

None of the choices are correct.

Step-by-step explanation:

Let x be the width of the frame,

The framed art cannot me more than 320 square inches

$(11 + 2x) \times (15+2x) \leq 320$

$(165 +30x +22x +4x^2 ) \leq 320$

$4x^2+52x + 165 \leq 320$

$4x^2 +52x + 165-320 \leq 0$

$4x^2 +52x - 155\leq 0$

By using the quadratic formula

$x = \frac{-b\pm \sqrt{(b^2-4ac)}}{2a}$

$x = \frac{-52\pm \sqrt{(52^2-4(4)(-155))}}{2(4)}$

$x = \frac{-52\pm \sqrt{(2704+2480)}}{2(4)}$

$x = \frac{-52\pm \sqrt{(5184)}}{2(4)}$

$x = \frac{-52\pm 72}{2(4)}$

$x = \frac{20}{8}$

$x= \frac{5}{2}$

$x = 2.5$

Frame must not be more than 2.5 inches wide.

4 0

3 years ago

Jason went to a carnival where he could goon all rides for a flat fee of $30 but he had to pay $2 for each arcade game he played

enot [183]

Answer:

He played 7 arcade games.

Step-by-step explanation:

The amount paid in relation to the number of games played can be modeled by a linear function in the following format:

$A(n) = F + gn$

In which F is the flat rate and g is the price of each game.

Flat fee of $30 but he had to pay $2 for each arcade game he played.

This means that $F = 30, g = 2$

$A(n) = 30 + 2n$

Jason spent $44. How many arcade games did he play?

This is n for which A(n) = 44. So

$A(n) = 30 + 2n$

$44 = 30 + 2n$

$2n = 14$

$n = \frac{14}{2}$

$n = 7$

He played 7 arcade games.

4 0

2 years ago