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Sergio039 [100]
3 years ago
7

What is the x and y intercept of the parabola y=x^2-6x+10 and ow do you graph the equation

Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0
The x- intercept is where y = 0 on the graph and the y- intercept is where x= 0 on the graph. When X=0, all the terms, except for the constant are equal to zero, thus the y- intercept is the constant. y=10 when x=0. Use the quadratic formula to find the x value where y=0. 
x= (-b +or- sqrt(b^2 -4ac))/2a

y=ax^2 +bx +c

The answer for the x- int is imaginary. This happens because 10 is the parabola's minimum value and it never touches the x- axis. y-int is 10
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Consider the polynomial operation 3x(x − 2)(5x + 2). Is the expression equivalent? Select Yes or No for A‐D.
Sav [38]

Answer:

see attached

Step-by-step explanation:

3x(x − 2)(5x + 2)

  • (x − 2)(5x + 2) expand
  • 5x² - 8x - 4
  • 3x ( 5x² - 8x - 4)  expand
  • 15x³ - 24x² - 12x

3 0
3 years ago
Find an equation in slope intercept form of a line having slope 6 and y-intercept 2
xz_007 [3.2K]

Answer:

<h2>y = 6x + 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the slope <em>m = 6</em>, and the y-intercept <em>b = 2</em>.

Substitute:

y=6x+2

4 0
3 years ago
Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6.
lubasha [3.4K]
Y = mx + b
slope(m) = -6
(-2,-3)...x = -2 and y = -3
now we sub....we r looking for b, the y int
-3 = -6(-2) + b
-3 = 12 + b
-3-12 = b
-15 = b

so ur equation is : y = -6x - 15

7 0
3 years ago
What percent of 8 is 6? pls give a detailed explanation thanks
Vedmedyk [2.9K]

Answer:

x/100 x 8 = 6

8x/100 = 6

x100    x100

8x = 600

Divide by 8 on both sides:

X = 75

Consider a percent out of 100. 'Of' meaning multiplication. 'is' meaning equal to that number.

(unknown number/percent)x/100 x 8(of 8) = 6(is 6)

4 0
3 years ago
Given f(x) = x ^ 2 - 6x + 8 and g(x) = x + 2 solve f(x) = g(x) . Use the tables below to help you, but please explain how you ca
Travka [436]

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = x² - 6x + 8 and g(x) = x + 2

To solve f(x) = g(x), equate the right sides, that is

x² - 6x + 8 = x + 2 ← subtract x + 2 from both sides

x² - 7x + 6 = 0 ← in standard form

(x - 1)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 6 = 0 ⇒ x = 6

These solutions can be verified from the tables, that is

f(x) = g(x) = 3 ← when x = 1

f(x) = g(x) = 8 ← when x = 6

4 0
4 years ago
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