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insens350 [35]
2 years ago
7

What is the remainder when the polynomial 8x2 4x−3 is divided by 2x−1?.

Mathematics
1 answer:
stiks02 [169]2 years ago
3 0
Whaaaaaaaaaaaaaaaaaaat
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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
2 years ago
Please help thanks!!
Sidana [21]

So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.

3 x 4 = 12

√8 x √3 = √24

Now our result is 12√24, however, this can be simplified. Using the product rule of radicals (√ab = √a x √b), our simplification is such:

12√24 = 12√(8 x 3) = 12√(4 x 2 x 3) = 2 x 12√(2 x 3) = 24√6

In short, the answer is 24√6, or the first option.

4 0
3 years ago
What is the sum of 2^5 and 7^2? Write the answer in the ordinary form.
posledela

Answer:

It's 81

Step-by-step explanation:

2^5 is 2*2*2*2*2 or 32

7^2 is 7*7 or 49

Add them together... 81

5 0
2 years ago
Find the area and perimeter of the square 6 meters
Mkey [24]
<h2>AREA</h2>

The formula for finding area of a square is:

length \times width

In a square, all the sides are the same. Each side is 6 meters long. Plug in 6 to the formula.

length \times width \rightarrow 6 \times 6

Multiply:

6 \times 6 = 36

The area of the square is 36 m²

<h2>PERIMETER</h2>

Perimeter is the distance around a shape. To find perimeter, you have to add all all the side lengths. The formula for finding perimeter is:

2(l) \times 2(w)

Remember that squares have 4 sides, and all length(s) and width(s) measure the same. The length and width measure the same. Plug in the numbers into the formula:

2(l) + 2(w) \rightarrow 2(6) + 2(6)

Simplify:

2(6) + 2(6) = 12 + 12

Add:

12 + 12 = 24

The perimeter of the square is 24 m

7 0
3 years ago
The graph of y = |2x – 2| – 4 is shown. On a coordinate plane, an angled line opens up. It approaches the grid line at (negative
Sedaia [141]

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4 0
2 years ago
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