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Hitman42 [59]
2 years ago
5

Y = (x - 5)(x + 1) What is the vertex of the parabola ?

Mathematics
1 answer:
Phantasy [73]2 years ago
7 0

Answer:

(2,-9)

Step-by-step explanation:

Multiply out the polynomial to get:

x^2-4x-5

the vertex formula is -b/2a (use the coefficients of the equation above)

-(-4)/2(1) = 4/2 = 2

we know the x value of the vertex is 2. Now we can plug that into the original equation to get the y value.

(2-5)(2+1)

(-3)(3) = -9

so the coordinate is (2,-9)

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Jorge is building a train set for his cousin. He has a piece of plywood that measures 49.5 inches in length, and he needs 2.25 i
Arada [10]

Answer: 22 pieces

Step-by-step explanation:

You have to divide 49.5 ÷ 2.25

49.5÷2.25= 22

Jorge can cut 22 pieces of plywood for the tracks.

3 0
2 years ago
Determine the general solution of:<br><br> sin 3x - sin x = cos2x
SpyIntel [72]
Sin³ x-sin x=cos ² x

we know that:
sin²x + cos²x=1  ⇒cos²x=1-sin²x
Therefore:

sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0

sin³x=z

z³+z²-z-1=0

we divide by Ruffini method:
              1     1     -1     -1
        1           1      2      1                z=1
-------------------------------------
              1     2      1      0
       -1         -1      -1                       z=-1
--------------------------------------
              1     1       0                       z=-1

Therefore; the solutions are z=-1 and z=1

The solutions are:
if z=-1, then
sin x=-1   ⇒x= arcsin -1=π+2kπ    (180º+360ºK)   K∈Z


if z=1, then
sin x=1   ⇒ x=arcsin 1=π/2 + 2kπ   (90º+360ºK)   k∈Z

π/2 + 2kπ    U   π+2Kπ=π/2+kπ     k∈Z    ≈(90º+180ºK)

Answer: π/2 + Kπ    or     90º+180ºK          K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
6 0
3 years ago
Standerd form of 60,000 4,000 300 7
katrin2010 [14]
Answer: 64,307
There you go ;)
5 0
3 years ago
Currently they sell a tub of popcorn for $10. SHOW or EXPLAIN what the cost of the cone of popcorn should be. Door context: The
Nina [5.8K]

Answer:

The cost of cone of popcorn is $ 2.59.

Step-by-step explanation:

The tub has a volume of 540.473 and costs $10. The cone has a volume of 140.035.

The cost of per unit volume is

$10/540.473

The cost of cone of popcorn is

\frac{10}{540.473}\times 140.035\\\\2.59

7 0
3 years ago
A. Steven wrote an expression with 2 terms. The second term, which is the whole number 7, is subtracted from the first term. The
bulgar [2K]

Answer:

Part a)

Steve's expression is 2(2x+5)^{2}-7

For x=3, the expression is equal to 235

Part b)

Jasmine's expression is

(3x^{2})+(25x)

For x=2, the expression is equal to 62

Step-by-step explanation:

Part a)

Let

n-----> the first term

The expression is

(n-7)

n=2(2x+5)^{2}

substitute

Steve's expression is

2(2x+5)^{2}-7

Evaluate for x=3

2(2(3)+5)^{2}-7=242-7=235

Part b)

Let

n-----> the first term

Jasmine's expression is

(3x^{2})+(25x)

Evaluate for x=2

(3(2)^{2})+(25(2))=12+50=62

4 0
2 years ago
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