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sveticcg [70]
3 years ago
14

Consider the quadratic function:

Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

Answer: the vertex would be (4,-25)

Step-by-step explanation:

id suggest using desmos. its an app/website and is super helpful.

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Write the slip-intercept form of the equation of the line described
kompoz [17]

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= \frac{5}{6}

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

1 =  \frac{20}{6}  + c \\ c = 1 -  \frac{20}{6}  \\ c = 1 - 3 \frac{1}{3}  \\ c =  - 2 \frac{1}{3}

Thus the equation of the line is y =  \frac{5}{6} x - 2 \frac{1}{3}.

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= \frac{8}{3}

y =  \frac{8}{3} x + c

When x=3, y=3,

3 =  \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c =  - 5

Thus the equation of the line is y =  \frac{8}{3} x - 5.

4 0
3 years ago
Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equati
umka2103 [35]

Answer:

This makes no sence at all likee

Step-by-step explanation:

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2 years ago
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Plz I need help with this ASAP
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3x^2 / 4 = 48

Multiply both sides by 4 to get rid of the four on the left.

3x^2 = 192

Divide both sides by 3

x^2 = 64

The square root 64 to get x

Remember there are two answers

x = 8 and x = -8
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3 years ago
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Bad White [126]
They cannot be simplified
4 0
3 years ago
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Find the missing number 1:2 = 3:_
Angelina_Jolie [31]
The answer is 6, hope this helped!
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