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3 years ago

At how many points does the graph of the function below intersect the x axis? y= 16x2 - 8x+1

Mathematics

2 answers:

Radda [10]3 years ago

5 0

Y= 16x2 - 8x+1 does not intersect the c axis. It only peaks at it. The parabola does not go over it.

BartSMP [9]3 years ago

5 0

The vertex of the parabola occurs at (1/4, 0) or (0.25, 0). Since the coefficient of x^2 is a positive number, then it the parabola opens upward. The vertex is the minimum point on the graph, which happens to occur along the x-axis at (1/4, 0) as the only x-intercept.

Therefore, the graph intersects the x-axis only once, at the vertex.

Please mark my answers as the Brainliest if you find this helpful :)

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What is the equation for this line?

zzz [600]

Answer:

The equation of the line is y = 2x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line, $m=\frac{y2-y1}{x2-x1}$

b is the y-intercept (value y at x = 0)

Let us take two points on the line to find its equation

∵ Points (3, 3) and (0, -3) lie on the line

∴ x1 = 3 and y1 = 3

∴ x2 = 0 and y2 = -3

→ Use the rule of the slope above to find m

∵ $m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2$

∴ m = 2

→ Substitute its value in the form of the equation above

∴ y = 2x + b

∵ b is the value of y at x = 0

∵ y = -3 at x = 0

∴ b = -3

→ Substitute it in the equation above

∴ y = 2x + -3

→ Remember (+)(-) = (-)

∴ y = 2x - 3

∴ The equation of the line is y = 2x - 3

7 0

4 years ago

Rewrite the equation in slope intercept form<br> 3y - 8x = -9

Nesterboy [21]

Answer:

y = (8/3)x - 3

Step-by-step explanation:

To get to slope intercept, just solve for y

3y - 8x = -9

3y = -9 + 8x

y = (-9 + 8x)/3

y = -9/3 + 8x/3 (distribute the 3 so we can reach the right form)

y = -3 + 8/3(x)

finally write in slope intercept form:

y = (8/3)x - 3

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3 years ago

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qaws [65]

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4 years ago

What is y-value when x equals -12? y =-200 - 6(x)

Arada [10]

Hi,

Solving:

$x = - 12 \\ y = - 200 - 6( x) \\ y = - 200 - 6( - 12) \\ y = - 200 + 72 = \underline{ \underline{ - 128}}$

Answer: y = -128

Hope this helps.
If you have any questions about the answer, comment below and I'll reply.
r3t40

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4 years ago

What is the measure of each interior angle of a regular pentagon? Enter your answer in the box.

MAVERICK [17]

Hello there!

Pentagon = 5 sides.

For regular pentagon: 360/5 = 72. 180 - 72 = 108 degrees at each interior.

I hope this helps.

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3 years ago

Read 2 more answers