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kondor19780726 [428]
3 years ago
14

Write a system of linear inequalities to represent each graph.

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0

5. The blue one is y >= 5x - 7

and green is y >= -0.65x + 3

6. y <= (4/5)x

y >= -(5/4)x

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What are the coordinates of the point on the directed line segment from (-6, -3)(−6,−3) to (-1, 7)(−1,7) that partitions the seg
rosijanka [135]

Answer:

(-3,3).

Step-by-step explanation:

The given points are (-6,-3) and (-1,7).

We need to find the coordinates of the point, which divides the line segment in 3:2.

Section formula: If a point divides a line in m:n, then the coordinates of point are

\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Using this formula, we get

\left(\dfrac{3(-1)+2(-6)}{3+2},\dfrac{3(7)+2(-3)}{3+2}\right)

\left(\dfrac{-3-12}{5},\dfrac{21-6}{5}\right)

\left(\dfrac{-15}{5},\dfrac{15}{5}\right)

\left(-3,3\right)

Therefore, the coordinates of required point are (-3,3).

8 0
3 years ago
If the friends collected 32 cans in total, how many more cans were collected by Lisa than by
agasfer [191]

Answer:

Gina=1/4 of 32=8 cans

Lisa=3/8 of 32 =12

Jen=1/4 of 32=8

Seth=1/8 of 32=4

total cans =32

Lisa collected 12 cans, Seth collected 4 cans

Lisa collected 8 cans more than Seth

5 0
2 years ago
10 ft<br> А<br> - “不<br> 6 ft<br> v<br> 10 ft -<br> 12 ft<br> B<br> C | 12 ft<br> 4 ft<br> 4 ft
Phoenix [80]

Answer:

58

Step-by-step explanation:

case I added it and I m right

8 0
2 years ago
HURRY PLZ Four friends are collecting money to buy dog food for an animal shelter. The food will cost $150, and each friend will
satela [25.4K]

Four Friends Collecting money to buy Dog Food:

Food Cost $150.00

Each Friend Collect the Same amount of Money:  $37.50 each Collected

Just Divide:

$150.00   Divide amongst the  4  friends:

150.00/4

150/4       =      75/2

Answer  ======>   Decimal:    $37.50    Each friend would need to collect to reach their goals.


Check:

$37.50    *     4  

$150.00

150/4   =====>   $37.50





Hope that helps!!!!!!!!!                                                 : )






Hope that helps!!!                                             : )

3 0
3 years ago
Oliver traveled 124.25 miles in 3.5 at a constant speed. What is the constant of proportionality in miles per hour?
Darina [25.2K]

Oliver traveled 124.25 miles in 3.5 hours at a constant speed

Rate = 124.25 / 3.5 = 35.5 miles per hour (MPH)

Answer:

The constant of proportionality is 35.5 miles per hour (MPH)

5 0
3 years ago
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