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adoni [48]
2 years ago
7

Find the y-intercept for the parabola defined by

Mathematics
1 answer:
olasank [31]2 years ago
6 0

Answer:

(0,6)

Step-by-step explanation:

because a point that lies on y axis has the coordinates of its x = 0.

the therm without the x in the equation of the parabola indicate where it intercepts the y axis

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Find the vertical asymptote(s) of f of x equals quantity 5 x squared plus 3x plus 6 end quantity over quantity x squared minus 1
natka813 [3]

Answer:

x = 10 and x = -10

Step-by-step explanation:

Given the function

f(x)=\dfrac{5x^2+3x+6}{x^2-100}

This function is undefied when the denominator equals to 0. Find these values for x:

x^2-100=0\\ \\(x-10)(x+10)=0\\ \\x-10=0\ \ \text{or}\ \ x+10=0\\ \\x=10\ \ \text{or}\ \ x=-10

This means that vertical lines x = 10 and x = -10 are vertical asymptotes (the graph of the function f(x) cannot meet these lines because this function is undefined at x = 10 and x = -10)

7 0
3 years ago
For a special order, The ABC company manufactured 400 shirts. Sweatshirts were priced at $35 each and T-shirts at $25 each. The
hodyreva [135]

Answer:

Thy bought 150 Sweatshirts (x) and 250 tshirts (y)

Step-by-step explanation:

35x + 25y = 11500

x + y = 400

-25 (x + y = 400) Multiply by -25 to get the y's to disappear when you add the two equations together

-25x - 25y = 10000

<u> 35x + 25y = 11500   </u>

10x =1500

x = 150

Plug 150 in either equation for x to find y

150 + y = 400

y = 250

6 0
3 years ago
For the function f(x) = -2(x + 3)^2 -1, identify the vertex, domain, and range. A.) The vertex is (3, -1), the domain is all rea
Vlada [557]
Ok so domain is all allowed numbers look at deonomenator and don't allow any numbers that will make it zero none that means domain=all real numbers vertex in form y=a(x-h)^2+k (h,k)=vertex we have y=-2(x+3)^2-1 h=-3 k=-1 vertex=(-3,-1) range the vertex opens down so max is y=-1 y≤-1 domain is all real vertex is (-3,-1) y≤-1 C
8 0
3 years ago
Point Z has the coordinates (−3,5) and is translated left 2 units and down 2 units to create point Z′.
iris [78.8K]

Answer:

(-5, 3)

Step-by-step explanation:

it translated left 2 units => x'= x-2

down 2 units=> y'= y-2

8 0
3 years ago
Hep asappppppppppppp
schepotkina [342]

Answer:

(6 , -1)

Step-by-step explanation:

2x+  y  = 11   ----------------(I)

y = 11 - 2x --------------------(II)

\frac{1}{2}x - 5y = 8

Multiply the whole equation by 2

2*\frac{1}{2}x -2*5y = 2*8

x - 10y = 16 --------------------(III)

Substitute y = 11- 2x in equation (III)

x - 10(11 - 2x) = 16

x - 110 + 20x = 16

21x - 110 = 16

21x = 16 +110

21x = 126

x = 126/21

x = 6

Plugin x = 6 in equation (II)

y = 11 - 2*6

y = 11 - 12

y = -1

5 0
2 years ago
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