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Nadusha1986 [10]
3 years ago
11

In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

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la edad de josé y beatriz están en la relacion de 5 a4 . si dentro de 3 años la suma de ambas edades seran 60 años , ¿ cual es l
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Answer:

La edad actual de Beatriz es de:

30 años

Step-by-step explanation:

Planteamiento:

5e = 4b

(e+3) + (b+3) = 60

e = edad actual de José

b = edad actual de Beatriz

Desarrollo:

de la segunda ecuación del planteamiento:

e + b + 6 = 60

e + b = 60 - 6

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e = 54 - b

sustituyendo este último valor en la primer ecuación del planteamiento:

5(54-b) = 4b

5*54 + 5*-b = 4b

270 - 5b = 4b

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270 = 9b

b = 270/9

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e = 54 - b

e = 54 - 30

e = 24

Comprobación:

5e = 4b

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PLEASE HELP ASAP!! an onion soup recipe calls for 3 2/3 cups of chopped onions. katrina has already chopped 1 1/3 cups of onions
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Answer:

x+1\frac{1}{3}=3\frac{2}{3}

Step-by-step explanation:

Let the number of cups of onions Katrina still needs to chop = x

She has already chopped the onions = 1\frac{1}{3} cups ≈ \frac{4}{3} cups

So total amount of chopped onions = (x+\frac{4}{3}) cups

Since, onion soup recipe calls for the chopped onions = 3\frac{2}{3} cups ≈ \frac{11}{3} cups

Therefore, equation which shows the number of cups of onions to be chopped more will be,

x+1\frac{1}{3}=3\frac{2}{3}

We further solve this equation for the value of x,

x = \frac{11}{3}-\frac{4}{3}

x = \frac{(11-4)}{3}

  = \frac{7}{3} cups

  ≈ 2\frac{1}{3} cups

5 0
3 years ago
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