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3 years ago

Find the x-intercept for y=x^2+4x+5

Mathematics

1 answer:

Ulleksa [173]3 years ago

5 0

Answer: There is no x-intercept for this quadratic equation.

Step-by-step explanation:

An x-intercept is when the y-value of the point if equal to zero. There is no x-intercept for this quadratic equation. This can be supported by the fact that this equation cannot be factored.

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Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

3 years ago

Read 2 more answers

So,some please help!

Leni [432]

4.6 is the correct answer. Hope I helped:)

5 0

3 years ago

Read 2 more answers

Iris charges a fee for her consulting services plus an hourly rate that is 1 1/5 times her fee. On a 7-hour job, Iris charged $4

Kryger [21]

470/7= 67.14......

67.14 was her fee

67.14 * 1.5 = 100.71

100.71 is her hourly rate

8 0

3 years ago

What is the answer

Molodets [167]

Answer:

the y axis is the answer

4 0

3 years ago

Equation<br> horizontal asymptote<br> vertical asymptote

ira [324]

Answer:

Hello,

In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.

So Horizontal asymptote = 2

For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is

y= 0

Rate positively and give brainlist

3 0

3 years ago

Find the x-intercept for y=x^2+4x+5​

Find the x-intercept for y=x^2+4x+5