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suter [353]
3 years ago
7

Solve this into y=mx+b form. Please help me with the steps. Thank you

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

Answer:

y = 4x - 3

Explanation:

4x – y + 6 = 9                 Subtract 6 from each side

     4x – y = 3                 Subtract 4x rom each side

            -y = -4x + 3        Multiply each side by -1

             y = 4x - 3

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Determine algebraically whether the function is even, odd, or neither even nor odd. f as a function of x is equal to x plus quan
Svetach [21]

y = x + 4/x

replace x with -x. Do you get back the original equation after simplifying. if you do, the function is even. replace y with -y AND x with -x. Do you get back the original equation after simplifying. If you do, the function is odd. A function can be either even or odd but not both. Or it can be neither one. Let's first replace x with -x

y = -x + 4/-x = -x - 4/x = -(x + 4/x)

we see that this function is not the same because the original function has been multiplied by -1 . Let's replace y with -y and x with -x

-y = -x + 4/-x

-y = -x - 4/x

-y = -(x + 4/x)

y = x + 4/x

This is the original equation so the function is odd.

8 0
3 years ago
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Is the triangle obtuse, acute, equilateral or right?
Stells [14]

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

The law of cosines tells you ...

  b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

  b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

  b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

  \cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

  \cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}

The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.

4 0
3 years ago
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A metal block is delivered to a construction site. The block is in the shape of a rectangular prism.
kkurt [141]

Answer:

C.

Step-by-step explanation:

6 0
3 years ago
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It is 17 miles to the mall how many inches is that on a map
Alona [7]
In order to answer that question, we need to know the scale of the map.
Without that information, no answer is possible.

I think you have it in the first part of the question ... the part you decided
not to post.
_________________________

OK.  Now that you've provided the scale of the map,
answering the question is a piece-o-cake.
Use a proportion:

  (1 inch on the map) / (4 miles on the ground) = ('x' on the map) / (17 miles on the ground)
3 0
3 years ago
Juanita runs every third day and swims every fifth day. If Juanita runs and swims today, in how many days will she run and swim
Ber [7]

we know that

The least
common multiple (LCM) of two or more numbers is the least

number, other than zero, that is a multiple of all the numbers.

In this problem, we are looking for the least common multiple of 3 and 5

So

Multiply 3 by 5

LCM=3*5\\ LCM=15

therefore

On the 15th day after today, she will do both on the same day

the answer is

15 days

3 0
3 years ago
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