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2 years ago

write a quadratic function that has a graph that contains the following points, (-2, 0), (4, -12), (5,0).

Mathematics

1 answer:

ankoles [38]2 years ago

4 0

Answer:

f(x) = 2x^2 - 6x - 20.

Step-by-step explanation:

(-2, 0) and (5, 0) are 2 zeroes of the function so we can write the function as

f(x) = a(x + 2)(x - 5) where a is a constant.

Now as (4, -12) is a point on the graph:

-12 = a(4 + 2)(4 - 5)

-12 = a * 6 * -1

-6a = -12

a = 2.

So f(x) = 2(x + 2)(x - 5)

f(x) = 2x^2 - 6x - 20.

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What’s the slope of the line that passes through 5,10 and 7,12

Marrrta [24]

Slope of the line passes through (5,10) and (7,12) is 1.

Step-by-step explanation:

Given,

The two points are (5,10) and (7,12).

To find the slope passing through the given points.

Formula

The slope of the line passing through ( $x_{1} ,y_{1}$ ) and ( $x_{2} ,y_{2}$ ) is $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Now, putting $x_{1} =5,y_{1}=10, x_{2}=7, y_{2} =12$ we get,

Slope = $\frac{12-10}{7-5}$ = $\frac{2}{2}$ = 1

Hence,

Slope of the line passes through (5,10) and (7,12) is 1.

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3 years ago

Read 2 more answers

How to write a polynomial in standard form

Setler79 [48]

Step-by-step explanation: Standard form is when we take a polynomial and we write it in order from the greatest degree to the smallest degree.

Let's look at an example which I provided in the image attached.

In this polynomial, I have 2 degrees, 1 degree, and 1 degree above the <em>x</em>.

This is not in the form of least to greatest so I need to write it in descending order. Our constant which in this is 27 will be last in polynomial.

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3 years ago

How many multiples of 4 are there in {n; 37< n <1001}?

s2008m [1.1K]

Let's begin by listing the first few multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 38, 40, 44. So, between 1 and 37 there are 9 such multiples: {4, 8, 12, 16, 20, 24, 28, 32, 36}. Note that 4 divided into 36 is 9.

Let's experiment by modifying the given problem a bit, for the purpose of discovering any pattern that may exist:

<span>How many multiples of 4 are there in {n; 37< n <101}? We could list and then count them: {40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100}; there are 16 such multiples in that particular interval. Try subtracting 40 from 100; we get 60. Dividing 60 by 4, we get 15, which is 1 less than 16. So it seems that if we subtract 40 from 1000 and divide the result by 4, and then add 1, we get the number of multiples of 4 between 37 and 1001:

1000
-40
-------
960

Dividing this by 4, we get 240. Adding 1, we get 241.

Finally, subtract 9 from 241: We get 232.

There are 232 multiples of 4 between 37 and 1001.

Can you think of a more straightforward method of determining this number? </span>

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3 years ago

We want to determine which point is closer to the origin: M (1, -3) or N (7, 9)

Neporo4naja [7]

Answer: M(1, -3)

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2 years ago

Ethan installs tiles on the floor of a room with a length of 14 feet and a width of 12 feet. It takes 9 hours to install the til

Stels [109]

Find total area
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round
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3 years ago