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Ilia_Sergeevich [38]
3 years ago
7

What is the y-intercept of the quadratic function f(x)=x^2-5x+6?

Mathematics
1 answer:
tatiyna3 years ago
6 0

Answer:

6

Step-by-step explanation:

f(x)=x^2-5x+6

To find the y intercept, set x=0

f(0) = 0^2 -5(0) +6

f(0) = 6

The y intercept =6

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Describe the nature of the roots for this equation.<br> 3x^2+x-5= 0
m_a_m_a [10]

Answer:

<h2>This equation has no natural roots.</h2>

Step-by-step explanation:

3x^2+x-5=0\\\\\text{Use the quadratic formula for}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{For the given equation:}\\\\a=3,\ b=1,\ c=-5\\\\b^2-4ac=1^2-4(3)(-5)=1+60=61\\\\x=\dfrac{-1\pm\sqrt{61}}{(2)(3)}=\dfrac{-1\pm\sqrt{61}}{6}\notin\mathbb{N}

4 0
3 years ago
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If u = &lt;-7, 6&gt; and v = &lt;-4, 17&gt;, which vector can be added to u + 3v to get the unit vector &lt;1, 0&gt; as the resu
ivann1987 [24]

With u = <-7, 6> and v = <-4, 17>, we have

u + 3v = <-7, 6> + 3 <-4, 17> = <-7, 6> + <-12, 51> = <-19, 57>

We want to find a vector w such that

u + 3v + w = <1, 0>

Subtract u + 3v from both sides to get

w = <1, 0> - (u + 3v) = <1, 0> - <-19, 57>

w = <20, -57>

7 0
3 years ago
Si el lado de un cuadrado mide 10cm cuanto mide él área del círculo que se encuentra adentro de ese cuadrado
Alex17521 [72]

Answer:

El área del círculo que se encuentra en el cuadrado es de 78.5cm²

Step-by-step explanation:

Para resolver este ejercicio tenemos que pensar que un cuadrado tiene sus 4 lados iguales, por lo que todos sus lados medirán 10cm.

Ahora nos fijamos que necesitamos saber para calcular el área de un circulo

a = área

r = radio

π = 3.14

a = π * r²

como podemos ver no sabemos el valor del radio

como el circulo toca con los 4 lados del cuadrado sabemos que su radio sera la distancia del centro del cuadrado a cualquiera de los lados.

Entonces tenemos que dividir un lado por 2

10cm/2 = 5cm

El radio del circulo sera 5cm

Ahora que tenemos todos los datos podemos calcular el valor del área

a = 3.14 * (5cm)²

a = 3.14 * 25cm²

a = 78.5cm²

El área del círculo que se encuentra en el cuadrado es de 78.5cm²

8 0
3 years ago
A farmer will divide a 1/4 acre plot of land into three equal-sized sections what will be the size of each section?
Natalija [7]
1/4:3= 1/4•1/3=1/12acre - size of each section

1/2•1/5=1/10yard
8 0
3 years ago
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Please help me with this question I don’t quite get it
sp2606 [1]
100 times 80 =8000.
4 0
3 years ago
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