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evablogger [386]
2 years ago
14

Consider the parabola y = 2(x − 1)^2 + k. Find the value of k if the y-intercept is 8

Mathematics
1 answer:
zubka84 [21]2 years ago
5 0

Answer:

6

Step-by-step explanation:

if y-intercept is 8, means when x = 0, y = 8

8 = 2(− 1)^2 + k

8 = 2 + k

k = 6

You might be interested in
A trapezoid has a height of 6 inches, an area of 120 square inches, and one base measuring 13 inches. Find the length of the oth
kirill [66]

Answer:

27

Step-by-step explanation:

Givens

b1 = 13

b2 = ?

h = 6

Area = 120

Formula

Area = (b1 + b2) * h/2         Multiply by 2

2Area = (b1 + b2)*h           Divide by h

2Area/h = b1 + b2              Subtract b1 from both sides

2Area/h - b1 = b2

Solution

2*120 / 6 - 13 = b2

40 - 13 = b2

b2 = 27

It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.

6 0
3 years ago
Multiple or divide as indicated 2x/4x+2 x 14 x+7/6
otez555 [7]
<span>2x/4x+2 x 14 x+7/6 is unclear.  Do you mean 2/4x, or do you mean  2x
                                                                                                           --------  ??
                                                                                                            4x+2
Use parentheses to make things clearer.

I will assume that you meant to write

   2x
--------- * 14x + 7/6
4x + 2

but am very much unsure if this is correct or not.



Perhaps you meant 

</span>2x/(4x+2) times 14(x+7/6)
<span>
This comes out as follows:

 2x * 14 (x + 7/6)        28x(x + 7/6)        14x(x + 7/6) 
------------------------ = ------------------- = --------------------
       4x+2                        2(2x + 1)              2x + 1         after reduction.

Performing the multiplication, we get            14x^2 + 98/6
                                                                     --------------------
                                                                              2x+1
</span>  

It appears that you're using "x" both as a variable name and as the "multiply" operator.  If so, please don't!  Use " * " to indicate multiplication.
<span>
</span>Please take and share a screen shot of this problem.
3 0
3 years ago
Three hundred twenty four million in numbers
LenaWriter [7]

24,000,300

Step-by-step explanation:

you mean twenty-four million and three hundred right? or Twenty million and three hundred thousand?

because that's not possible.

5 0
3 years ago
Read 2 more answers
Which is the solution of the equation y=4x+3
NemiM [27]

Answer:

It is not possible to solve the equation y = 4x + 3. This is merely a relation between two variables x and y. The variable y is 3 greater than 4 times the variable x.

Step-by-step explanation:

What book?

3 0
2 years ago
Read 2 more answers
You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar an
lisabon 2012 [21]
Let
x-->volume of white vinegar you need to add to the mixture (measured in cups)
<span>then
the amount of the pure vinegar in the mixture will be -----> (10*0.1 + x) cups
t</span>he volume of liquid will be ---------> 10 + x
the concentration equation is-------> [(10*0.1 + x)/(10+x)]=0.50<span>multiply both sides by (10+x) and then simplify

</span>(10*0.1 + x)=(10+x)*0.50-----------> 1+x=5+0.50x-------> 0.50x=4
x=8

the answer is 
<span>you need to add 8 of a cup of the pure vinegar to the mixture</span>
7 0
3 years ago
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