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3 years ago

Determine the value of y, if x is – 3. y = x² – 5

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

7 0

4 cause -3 to the second power - 5 will equal 4. -3 to the second power is 9 then subtract 5 its 4.

laila [671]3 years ago

4 0

Y=-11 is the answer because if you replace the x for -3 then square it like it says, then it world be y=-6-5 , so therefore the answer would be y=-11

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

Pamela drove her car 999999 kilometers and used 999 liters of fuel. She wants to know how many kilometers (k) right parenthesis

Sever21 [200]

Answer: Hello, Here you Answer......

132 km

Given that the relationship between kilometers and fuel is proportional, let the distance in km be k and the fuel be f:

thus:

kα cf

k=cf

where k is the constant of proportionality. Thus:

c=k/f

Pamela drove 99 km and used 9 liters;

∴k=99/9=11 km/liter

therefore distance covered is given by:

k=11f

hence the distance covered with 12 liters of fuel will be:

k=11×12

=132 km Hope this helps! (Brainly)♥

7 0

3 years ago

May someone please help me?

Vesna [10]

Answer:

The 3rd table

Step-by-step explanation:

The x values are dividing by 5 to get the y values. The table is proportional because it's a pattern not just random values.

5 0

3 years ago

PLEASE WILL GIVE BRAINLIEST!!

sveta [45]

Answer:

10.5

Step-by-step explanation:

because 10.5x2=21. and 45+13+21=79, 100-79= 21.

7 0

3 years ago

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sweet [91]

Answer:

12 (the third one is the greatest common factor of 120 and 84)

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