All categories

2 years ago

I RLLY NEED HELP PLS!!

Mathematics

1 answer:

lara [203]2 years ago

5 0

Answer: $(x+2)^2+3\\\\$

a = 2 and b = 3

==================================================

Explanation:

Let's expand out $(x+a)^2+b$ to get the following:

$(x+a)^2+b\\\\(x+a)(x+a)+b\\\\x(x+a)+a(x+a)+b\\\\x^2+ax+ax+a^2+b\\\\x^2+2ax+a^2+b\\\\$

The x term here is 2ax

Compare this to the x term of $x^2+4x+7$ and we see that

$2ax = 4x\\\\2a = 4\\\\a = 4/2\\\\a = 2\\\\$

--------------

The constant term of $x^2+2ax+a^2+b\\\\$ is the $a^2+b$ portion since it doesn't have the variable x attached to it.

Compare this with the 7 of $x^2+4x+7$ which is also the constant.

Equate the two items, plug in a = 2 and solve for b.

$a^2+b = 7\\\\2^2+b = 7\\\\4+b = 7\\\\b = 7-4\\\\b = 3\\\\$

Therefore,

$x^2+4x+7 = (x+a)^2+b\\\\x^2+4x+7 = (x+2)^2+3\\\\$

You might be interested in

Nathan cut a square tile in half for his kitchen floor design. He made one cut along a diagonal from one vertex to another verte

Amiraneli [1.4K]

3. Two isosceles right triangles

Every square has 4 right angles, so each triangle will have one right triangle, which makes the triangles, right triangles.

They are isosceles because all sides of the square are the same, though the diagonal is not.

Hope this helps :)

4 0

2 years ago

78 million converted in scientific notation

Lemur [1.5K]

The correct answer is:

7.8 × 10⁷

Explanation:

To write a number in scientific notation, we want the decimal behind the first non-zero digit in the number. The first non-zero digit in 78 is 7; this means we want 7.8. In order to have the decimal point behind the 7, we need to move the decimal 7 places. This is the exponent of 10 in our scientific notation, which gives us

7.8 × 10⁷

7 0

2 years ago

How to solve the function 4y+x=12

Sidana [21]

First you rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Second you solve it by using the formula of a straight line drawn on Cartesian coordinate system in which “y” is the vet risk axis and “x” the horizontal axis.

7 0

2 years ago

Which function has no horizontal asymptote? F (x) = StartFraction 2 x minus 1 Over 3 x squared EndFraction f (x) = StartFraction

yanalaym [24]

Answer:

$f(x)=\frac{2x^2}{3x-1}$

Step-by-step explanation:

The function $f(x)=\frac{2x-1}{3x}$ has a horizontal asymptote which is $y=\frac{2}{3}$

The function $f(x)=\frac{x-1}{3x}$ has a horizontal asymptote which is $y=\frac{1}{3}$

The function $f(x)=\frac{2x^2}{3x-1}$ has no horizontal asymptote because the numerator has a degree which is higher than the degree of the denominator,

The function $f(x)=\frac{3x^2}{x^2-1}$ has a horizontal asymptote which is $y=3$