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rosijanka [135]
3 years ago
6

Which expression is equivalent to 6x^2 + 13x + 5?

Mathematics
2 answers:
IrinaK [193]3 years ago
8 0

Answer:  (2x - 5)(3x + 1) or A on E2020

Step-by-step explanation:

Have a good day c:

hodyreva [135]3 years ago
3 0

The signs of the x-term and the constant term are both positive, so the signs of the constants in the binomial factors must be the same and must both be positive. The only offering that meets that requirement is

... C (2x+1)(3x+5)

_____

If you multiply that out, you get 6x² + 10x + 3x + 5 = 6x² +13x +5, as required.

The sign of the constant term is the product of the signs of the constants in the binomial factors: (+1)·(+5). We want a positive sign for the constant, so both binomial factor constants must have the same sign.

When the signs of the binomial factor constants are the same, the x-term constant will match them. Thus, for a positive x-term constant, both binomial factor constants must be positive.

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Rewrite the function in standard form, intercept form, find the vertex, find the y-intercept, and find the x-intercepts.
jasenka [17]

Answer:

We have the function, f(x)=(x+3)^{2}-4

On simplifying, we get,

f(x)=x^2+6x+9-4

i.e. f(x)=x^2+6x+5

Thus, the standard form of the function is f(x)=x^2+6x+5.

Now, the factors of the given functions are (x+1) and (x+5).

<em>Since, the intercept form of the function is the factored form of the function.</em>

So, we have, intercept form of the function is f(x)=(x+1)(x+5).

Now, we know that,

Value of x-coordinate of the vertex is \frac{-b}{2a} i.e. \frac{-6}{2\times 1} i.e. \frac{-6}{2} i.e. x= -3

Then, f(-3)=(-3)^2+6\times (-3)+5 i.e. f(-3)=9-18+5 i.e. f(-3)=-4

So, the vertex of the function is (-3,-4).

Further, we know that,<em> 'the y-intercept of a function is the point where the function crosses y-axis'.</em>

So, when x=0, we have, f(0)=0^2+6\times 0+5 i.e. f(0) = 5

Thus, the y-intercept is (0,5)

Also, <em>'the x-intercept of a function is the point where the function crossese x-axis'.</em>

Then, for f(x)=0, we have 0=x^2+6x+5 i.e. 0=(x+1)(x+5) i.e. x= -1 and x= -5

Thus, the x-intercept are (-1,0) and (-5,0).

8 0
3 years ago
A number that does not change
Delicious77 [7]

Answer:

A constant

Step-by-step explanation:

Well, ideally I'd like more details, but a number that doesn't change in a mathematical equation is called a constant.

6 0
3 years ago
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Answer:

A bottle holds 24 ounces of water. It has x ounces of water in it.

What does 24 - x represent in this situation?

4 0
3 years ago
I have 5 numbers in a data set that have:
CaHeK987 [17]

Answer:

2,2,3,4,5

Step-by-step explanation:

Just show how to get the mean, median, mode, and range to justify the answer

Also hey Brailen

3 0
3 years ago
9 1/4 - 4 5/6 subtraction
cricket20 [7]

Answer:

4 5/12

Step-by-step explanation:

Rewriting our equation with parts separated

Solving the whole number parts

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Find the LCD of 1/4 and 5/6 and rewrite to solve with the equivalent fractions.

LCD = 12

Combining the whole and fraction parts

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2 years ago
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