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2 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]2 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]2 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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How would I solve the equations: y = x-4 and y=x^2-4x using substitution

andriy [413]

Answer:

x = 6

Explanation:

y = x - 4

26 = 4x + y

If y = y, then we can rewrite this system as this: 4x + x - 4 = 26

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3 years ago

How to express a polynomial sum in simplest form?

klemol [59]

Answer:

Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.

Step-by-step explanation:

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3 years ago

Please help me to answer this

Igoryamba

A. 1 = 3/3 = 4/4 = 52/52 = x/x

B. 5 = 10/2 = 15/3 = 7.5/1.5 = 120/24 = 5a/a

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3 years ago

The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students

Artemon [7]

Answer:

Let p be the population at t be the number of years since 2011. Then, $p=2000-50t$

The projected population of the high school in 2015=1800
In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, $p=2000-50t$

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

$p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800$

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

$1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8$

Now, 2011+8=2019

Hence, in <u>2019</u> the population be 1600 students

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3 years ago

Will mark as brainlist

lara [203]

Step-by-step explanation:

Tn=ar^(n-1)

r=-10/-5=2

a=-5

Tn=-5×(2)^(n-1)

Tn=-5•(2)^(n-1)

an=5•(2)^(n-1)

7 0

2 years ago