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3 years ago

if the zeros of a quadratic function , f, are -3 and 5, what is the x-coordinate of the vertex of the function f?

Mathematics

1 answer:

Blababa [14]3 years ago

8 0

we know function "f" has zeros at -3 and 5, namely x = -3 and x = 5, well for a quadratic, the vertex is half-way between those two zeros,

-3................... 1....................5

so the x-coordinate is at 1. Check the picture below, regardless of the shape of the parabola.

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Find the value of x

Veronika [31]

Answer:

x =147

Step-by-step explanation:

The sum of the angles is = 360 -(2x+1) ( since it will make a full circle)

42+(-124+x) =360-(2x+1)

Combine like terms

x-82 =359-2x

Add 2x to each side

x-82+2x = 359

3x -82 = 359

Add 82 to each side

3x-82+82 = 359+82

3x = 441

Divide by 3

3x/3=441/3

x =441/3 or 147

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3 years ago

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3 years ago

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3 years ago

Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :

$\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}$

$k \approx \pm 0.028$

The positive value of $k$ will result in exactly one real root is approximately 0.028.

7 0

2 years ago

Evaluate the expression. 0.1×( – 0.9+ – 0.2÷ – 0.5) Write your answer as an integer or a decimal. Do not round.

matrenka [14]

Answer:

-0.05

Step-by-step explanation:

Given the expression :

0.1×( – 0.9+ – 0.2÷ – 0.5)

Evaluating the bracket :

0.1 * (-0.9 - 0.2 ÷ - 0.5)

Solving the division first

-0.2 ÷ - 0.5 = 0.4

Now we have ;

0.1 * (-0.9 + 0.4)

0.1 * - 0.5

= - 0.05

4 0

2 years ago