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Eva8 [605]
3 years ago
11

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x^2+3x-8? 1.99 2.00

Mathematics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

1.39

Step-by-step explanation:

Given the quadratic equation :

2x^2+3x-8 = 0

We could apply the quadratic equation formula :

a = 2 ; b = 3, c = - 8

The formula is stated as :

-b±sqrt(b² - 4ac)/2a

To save computation tune, we could use a calculator :

The roots are : - 2.886 ; 1.386

The positive solution rounded to the nearest hundredth is : 1.39

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Nancy is making a kite based on the pattern below. About how much binding does Nancy need to cover the edges of the kite?
Ainat [17]

Check the picture below.

so the perimeter of the kite is x+x+y+y, namely 2x + 2y.


\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{15}\\ \end{cases} \\\\\\ x=\sqrt{8^2+15^2}\implies x=\sqrt{289}\implies \boxed{x=17} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{4}\\ \end{cases}\implies y=\sqrt{8^2+4^2}\implies y=\sqrt{80}\implies \boxed{y\approx 8.94} \\\\[-0.35em] ~\dotfill\\\\ 2x+2y\implies 2(17)+2(8.94)\implies 51.88\implies \stackrel{\textit{rounded up more}}{51.9}

4 0
4 years ago
David loves to cook! He knew 21 recipes before starting cooking school and he learns 2 recipes
pishuonlain [190]

Answer:

Sarah is incorrect.

Step-by-step explanation:

By plugging 10 in as 'x' to the equation, we get y=21+(2*10). 2 x 10 is 20, and 20 + 21 is <em>not</em> 42 - it's 41. So, Sarah is incorrect.

7 0
3 years ago
Read 2 more answers
If f(x)=ax+b/x and f(1)=1 and f(2)=5, what is the value of A and B?
LUCKY_DIMON [66]

Answer:

\huge\boxed{a=9 ; b = -8}

Step-by-step explanation:

f(x) = \frac{ax+b}{x}

Putting x = 1

=> f(1) = \frac{a(1)+b}{1}

Given that f(1) = 1

=> 1 = a + b

=> a+b = 1  -------------------(1)

Now,

Putting x = 2

=> f(2) = \frac{a(2)+b}{2}

Given that f(2) = 5

=> 5 = \frac{2a+b}{2}

=> 2a+b = 5*2

=> 2a+b = 10  ----------------(2)

Subtracting (2) from (1)

a+b-(2a+b) = 1-10\\a+b-2a-b = -9\\a-2a = -9\\-a = -9\\a = 9

For b , Put a = 9 in equation (1)

9+b = 1\\Subtracting \ both \ sides \ by \ 9\\b = 1-9\\b = -8

5 0
3 years ago
I also need to know what m∠cdb is
Oliga [24]

Answer:

x = 4

m<cdb = 82

Step-by-step explanation:

The exterior angle thm states that the exterior angle of a triangle is equal to the sum of the opposite interior angles:

7x + 2 + 17x = 98

24x + 2 = 98

24x = 96

x = 4

m<cdb =

y + 98 = 180

y = 180 - 98

y = 82

3 0
3 years ago
Why is it important to know the categories of numbers?
leonid [27]
Its important to know the categories of number because its in math
6 0
3 years ago
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