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Zinaida [17]
3 years ago
15

Write an equation in slope-intercept form for the line that satisfies the following condition. slope 7, and passes through (5, 3

0)
Mathematics
1 answer:
allsm [11]3 years ago
7 0
Y = mx + b
slope(m) = 7
(5,30)...x = 5 and y = 30
now we sub and find b, the y int
30 = 7(5) + b
30 = 35 + b
30 - 35 = b
-5 = b

so ur equation is : y = 7x - 5 <==
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Divide and answer in simpilist form: 1/2 ÷4​
sergeinik [125]

Answer:

1/8

Step-by-step explanation:

1/2 ÷4​

Copy dot flip

1/2 * 1/4

1/8

8 0
3 years ago
Read 2 more answers
An orchard has 651 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in a row
natima [27]

Answer:

The number of trees in each row is  21.

Step-by-step explanation:

Let us assume the number of trees in each row  = m

So, the number of rows in the orchard = Number of trees in each row + 10

or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651  = m (m + 10)

651 = m^2 + 10m\\\implies  m^2 + 10m - 651 =0\\or,   m^2 + 31m  21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0

⇒ (m +31) = 0, or (m-21) = 0

⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m =  21

Hence, the number of trees in each row is m = 21.

8 0
3 years ago
The manufacturer of a weight-training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fix
nasty-shy [4]

Answer:

Step-by-step explanation:

C(x) = 15x + 25,500....cost function

R(x) = 32x .....revenue function

break even point (when they are equal)....so set them equal and solve for x

15x + 25,500 = 32x

25,500 = 32x - 15x

25,500 = 17x

25,500 / 17 = x

1500 = x.......so the break even point is when 1500 benches are sold

15x + 25,500 =                                   32x =

15(1500) + 25,500                              32(1500) =

22,500 + 25,500                                48,000

48,000

and after selling 1500 benches, they will both equal $48,000

7 0
3 years ago
Find the inequality represented by the graph.
baherus [9]

Answer:

y > 1/3 x - 3

Step-by-step explanation:

First, it would be easiest to find the equation of the line from the two integer points given, which are (0, -3) and (3, -2).

Find the change of y over the change of x to get the slope of the line.

(-2 - (-3))/(3 - 0) = 1/3

Since the line intercepts the y axis at (0, -3), the equation of the line would be

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We can see that the shaded portion is above the line, (and that the line is dotted) so this graph represents

<u>y > 1/3 x - 3</u>

8 0
3 years ago
A town's population has been growing linearly. In 2003 the population was 47,000. The population has been growing by 1200 people
blsea [12.9K]

Answer:

Step-by-step explanation:

The population in 2003= 47000

Since the population increase by 1200 every year,

in 2004 the population will be 47000+1200

in 2005 the population will be 47000+(1200+1200) which is the same as

47000+2(1200) where 2 is 2 years after 2003,

Therefore the population x years after 2003 is 47000+x(1200).

P= 47000+1200x

b) The population at 2009 which is 6 years after 2003 will be

47000+(1200)*6=47000+7200= 54200

The population at 2009 is 54200,

7 0
3 years ago
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