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Genrish500 [490]
4 years ago
13

Quadratic formula, SOMEONE PLEASE HELP (30 points)

Mathematics
1 answer:
Anvisha [2.4K]4 years ago
6 0
1. to create your own quadratic you have to just make up any numbers. so off the top of my head:
y = -5x^2 + 10x - 3

2. the equation to find the x value of the vertex uses is the equation -b/2a. You may notice that this is similar to the quadratic formula except for you take away the plus or minus square root part. if you think about it, it makes sense that this would be the vertex because the plus or minus parts are an equal distance away from the center of the parabola. so using the form ax^2 + bx + c we can plug in the a and b:
x = -10/2 (-5)
x = -10/-10
x = 1

so we have x and can plug into equation to get y value:
y = -5 (1)^2 + 10(1) -3
y= -10 + 10 - 3
y = -3

vertex is at point (1, -3)

3. the axis of symmetry is the line that runs straight up and down at the center of a parabola. the center of the parabola is the vertex so the line runs straight up and down through vertex. for a line to run straight up and down it is a constant x value. since the x of the vertex is 1, the line is:
x = 1

4. using quadratic formula :
x = [-b (+-) sqrt (b^2 - 4ac)]/2a
we get:
x = [-10 (+-) sqrt (10^2 - 4 (-5)(-3)]/2 (-5)
x = [-10 (+-) sqrt (100 - 60)]/-10
x= [-10 (+-) sqrt (40)]/-10
x= [-10 (+-) 2* sqrt (10)]/-10
x= [5 (+-) sqrt (10)]/5

that is the answer. You can use a calculator to solve easily.

5. the discriminant is the solution to what is under the squareroot sign. so the square root part was:
sqrt (b^2 - 4ac)

so discriminant is :
b^2 - 4ac

so for this function it is:
10^2 - 4 (-5)(-3)

solving this the discriminant is 40
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3 years ago
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∠A=6x+5 ∘ space, start color blueD, angle, A, equals, 6, x, plus, 5, degree, end color blueD \qquad\green{\angle B=4x + 45^\circ
anyanavicka [17]

Answer:

Step-by-step explanation:

Find the required figure in the attachment. From the figure, <A = <B (alternate interior angle)

Given

∠A=6x+5

∠B=4x+45

Since <A = <B hence;

6x+5 = 4x+45

Collect the like terms

6x-4x = 45-5

2x = 40

Divide both sides by 2;

2x/2 = 40/2

x = 20

Hence the value of x is 20°

Next is to get the measure of <A

Since <A = 6x+5

Substitute x = 20° into the expression

<A = 6(20)+6

<A = 120+6

<A = 126°

Hence the measure of <A is 126°

5 0
3 years ago
A 10-pound block of ice melts at a rate of 3% per hour. Find the weight of the block of ice after 1 day.
mylen [45]

Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

A(t) = A(0)(1 - r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A 10-pound block of ice melts at a rate of 3% per hour.

This means that A(0) = 10, r = 0.03

So

A(t) = A(0)(1 - r)^t

A(t) = 10(1 - 0.03)^t

A(t) = 10(0.97)^t

Find the weight of the block of ice after 1 day.

One day has 24 hours, so this is A(24).

A(24) = 10(0.97)^{24} = 4.81

The weight of the block of ice after 1 day is of 4.81 pounds.

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2 years ago
Rafael must choose a number between 67 and 113 that is a multiple of, 2,4, and 5 . Write all the numbers that he could choose.
skelet666 [1.2K]
First, find out what the greatest common factor is between 2, 4, and 5. 

<span>This is 20. So any number divisible by 20 is also divisible by 2, 4, and 5. </span>

<span>Now we find the list of numbers that are multiples of 20 between 67 and 113. </span>

<span>The solutions are: </span>

<span>80 and 100.</span>
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Answer:

let cow=x and chickens =y

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