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Elis [28]
2 years ago
8

What is the slope of y = -x + 7?

Mathematics
1 answer:
JulijaS [17]2 years ago
7 0

Answer:

The slope is -1

Step-by-step explanation:

The slope is always the number in front of the x.

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5. Find the discriminant of 15x2 = 4x – 1 and describe
diamong [38]

Answer:

a) The discriminant of the equation =  - 44

b)The nature of the roots will be imaginary.

c) x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

Step-by-step explanation:

Here, the given expression is 15x^{2}  = 4x -1

or, 15x^{2}  -  4x + 1   = 0

Now the discriminant (D) of a quadratic equation ax^{2}  +b x + c   = 0

D = b^{2}   -  4ac  = (-4)^{2}  -  4(15) (1)  = 16 - (60) = -44

Hence, the discriminant of the equation =  - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : x = \frac{-b \pm \sqrt{b^{2}  - 4ac} }{2a}

So, here x = \frac{-(-4) \pm \sqrt{D} }{2a}  = \frac{4 \pm \sqrt{(-44 )} }{30}

So, either x = \frac{4 + \sqrt{(-44 )} }{30} or, x =  \frac{4 - \sqrt{(-44 )} }{30}

or, x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

8 0
2 years ago
Help math maths math math
Travka [436]

Answer:

Step-by-step explanation:

remeber is (x,y) so it will be like this   \frac{6-3}{4-6} =-\frac{3}{2}

5 0
2 years ago
Two consecutive positive integers have a product of 6. what are the integers
sergejj [24]

Hey there!

One way to do this is find all the factors of 6 and then see which pair fit the requirements.

The factors of 6 are 1, 2, 3, and 6. (Note: There can be negative factors, but I am going to leave them out since it is asking for positive integers.)

You can find them by asking if each number can go into 6.

1, 2, 3, and 6 all go into 6, while 4 and 5 do not.

The requirements we have is that they must be consecutive <u>and</u> have a product of 6.

Consecutive means right after one another.

The only numbers that fit this are 2 and 3.

2 x 3 = 6

Hope this helps!

6 0
2 years ago
Read 2 more answers
Jed's has $45 for the amusement park. He spent $17 for admission into the park.
77julia77 [94]
If you take the original amount 45 and subtract the admission fee 17 you get what is left over which would be  28 dollars. Good Luck and I hope that this helps!!
6 0
2 years ago
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What is 3515- x = 1396
Afina-wow [57]

Answer:


Step-by-step explanation:

x=2119

6 0
2 years ago
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