2 years ago

Solve by factoring. x^2 - 49 = 0

Mathematics

1 answer:

zvonat [6]2 years ago

4 0

The answer is (x+7)(x-7)

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What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

polet [3.4K]

Answer:

(-5,-28)

Step-by-step explanation:

Given

$f(x)=x^2+10x - 3$

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

$f(x)= ax^2+bx +c$

By comparison;

$a = 1\ b = 10\ and\ c = -10$

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

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

Substitute 10 for b and 1 for a

$x = \frac{-10}{2*1}$

$x = \frac{-10}{2}$

$x = -5$

Substitute $x = -5$ in the given function;

$y=x^2+10x - 3$

$y=(-5)^2+10*-5 - 3$

$y=25-50 - 3$

$y=-28$

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

6 0

3 years ago

Four siblings are to share in an inheritance. They are to receive money in the money in the amount of $88,000 in the ratio of 5:

11111nata11111 [884]

The answer is 44,000 dollars. due to 5+3+2+1=10, you divide 88,000 by 10 and you then multiply that by the largest number to get 44,000

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2 years ago

Please help solve much appreciated

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Step-by-step explanation:

For the Cuboid, the formula will be:

Width x Height x Length

For the cylinder the volume formula will be:

$\pi \: \times \: {radius}^{2} \times \: length$

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3 years ago