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cestrela7 [59]
3 years ago
14

Determine the intercept of the line. ​

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
5 0

Answer:

5.5

Step-by-step explanation:

Where Y is 0

Nonamiya [84]3 years ago
4 0

Answer:

x-intercept: (-7.5, 0)

y-intercept: (0, 5.5)

Step-by-step explanation:

The x-intercept is where the line touches (or intersects) the x-axis, and the y-intercept is where the line hits the y-axis.

To determine the intercepts of the line, look at the graph and see where the line touches the x-axis (the axis going horizontally).

It seems to hit exactly in between -8 and -7, so the x-intercept is -7.5.

On the y-axis, the line seems to touch right between 5 and 6, so the y-intercept is 5.5.

For the x-intercept, you only need to put the x-value so it is (-7.5, 0). The y-intercept only needs the y-value so it is (0, 5.5).

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Kate sets a goal to walk 3 miles every day for a year. How many miles more or less than 1,000 miles will she walk in the year?
blsea [12.9K]

Kate will walk 95 more than 1000 miles in a year the math would be 365x3=1095

8 0
2 years ago
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You start at (1,0) And move down 2 units and left 4 units where do you end
djverab [1.8K]

Answer:

(-3,-2)

Step-by-step explanation:

Starting at the point (1, 0)

Now we move don 2 units (so the y-value reduces in two units) making now the point (1,0-2)  which is (1, -2)

then we move to the left 4 units (so the x-value has now to be decreased in 4 units) making the point: (1-4, -2) which is (-3, -2)

3 0
2 years ago
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Which of the following is a correct interpretation of the expression -4 + 13−4+13minus, 4, plus, 13?
7nadin3 [17]

Answer:

Step-by-step explanation:

-4 + 13 - 4 + 13 - 4 + 13

9 - 4 + 13 - 4 + 13

5 + 13 - 4 + 13

18 - 4 + 13

14 + 13

27

6 0
3 years ago
Hot dogs come in packages of 10 and hot dog buns come in packages of 8 . What is the least amount of product that you need to Bu
lubasha [3.4K]

This exercise is solved by finding the least common multiple between 10 and 8.


In fact, you have to buy a certain number h of hot dog package, and you will have 10h hot dogs, since there are 10 hot dogs in each package. The key concept here is that the number of hot dogs you have in the end is a multiple of the number of hot dogs in each box.


Similarly, you have to buy a certain number b of hot dog buns package, and you will have 8b hot dogs, since there are 8 hot dog buns in each package. Again, the key concept here is that the number of hot dog buns you have in the end is a multiple of the number of hot dog buns in each box.


Then, you want to have the same number of hot dogs and hot dog buns, i.e. you want


10h = 8b


but you also want h and b to be the first values to satisfy this equation.


This means that you want a multiple of 10 to equal a multiple of 8, and you want the smallest possible number which does the trick. Again, this is exactly the definition of the least common multiple.


To find the least common multiple of two numbers, find their prime factorization, and collect all the primes from both factorizations, with the highest exponent possible. Since 10 = 2\cdot 5 and 8 = 2^3, the primes appearing are 2 and 5. The higher exponent for 2 is 3, and the only exponent for 5 is 1. So, the answer is 2^3\cdot 5 = 40.


So, if you buy 4 packages of hot dogs and 5 packages of hot dog buns, you will have 40 hot dogs and 40 hot dog buns, as requested.

4 0
3 years ago
Read 2 more answers
A small company that manufactures snowboards uses the relation below to model its profit. In the model,
amm1812

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

x = 32/8

x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

     

8 0
3 years ago
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