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prohojiy [21]
3 years ago
7

What is the value of k?

Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0

Answer:

<h2>             k = 3</h2>

Step-by-step explanation:

The vertex is (d, e)

for quadratic function: f(x) = ax² + bx + c  we have:

d = -b/a    and    d = (x₁ + x₂)/2  

a = 1,   b = k,   x₁ = -4,    x₂=-2      

so:

d = -b/a = -k/1 = -k   and   d = (x₁ + x₂)/2 = (-4-2)/2 = -3

-k = -3

k = 3

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Lelechka [254]
I believe the answer would still be 0 because 1/3 of 0 is 0
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3 years ago
Evaluate the following expression for: x= -2, y=4, z=-3<br><br> 4(2x+y)-2y+z
otez555 [7]

- - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - --  -- - - - - - - -

\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3

\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}

Before inserting the values of the variables, I recommend writing the equation in its simplest form.

First, use the distributive property and distribute 4:-

8x+4y-2y+z

Simplifying,

8x+2y+z

Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.

First, write -2 in lieu of x:-

8(-2)+2y+z

-16+2y+z

Now, write 4 in lieu of y:-

-16+2(4)+z

-16+8+z

-8+z

Final step:-

write -3 in lieu of z:-

-8+(-3)

-8-3

-11

<h3>Good luck.</h3>

     - - - - ---- - - - - - - -- --- - ---  - - - -- -  - - - --  --  - -- - - - - - - - - - - - - - - - - - --

7 0
2 years ago
How many ways can we pick three distinct integers from {1, 2, ..., 15} such that their sum is divisible by 3?
gogolik [260]

Answer:

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Now meaning we have 4! ( 4 factorial) which implies 4x3x2x1= 24 .

We have 24 ways to pick distinct integers that are divisible by 3.

Step-by-step explanation:

The first thing you need to do is to look for numbers that are divisible by 3. Then you take its factorial

5 0
3 years ago
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Assoli18 [71]
About 0.482
calculator
6 0
3 years ago
Determine if the relationship is a function &amp; explain why and why not.
padilas [110]
No the following coordinates do not show a function because of the y-values. In the pairs that you have, (3,5) and (0,5) have the y-values of "5" that are repeating.

Hope this helps. I learned that in math.
5 0
3 years ago
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