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2 years ago

How to solve for axis of symmetry for y=(x+2)(x-4)

Mathematics

2 answers:

liberstina [14]2 years ago

8 0

Answer:

x=1

Step-by-step explanation:

$y=x^{2} -4x+2x-8$
$y=x^{2} -2x-8$ $(a=1, b=-2)$
$x=-\frac{b}{2a} =\frac{-2}{2*1}$
$x=1$
$y=(x+2)(x-4), x=1$
$y=(1+2)(1-4)$
$y=-9$

lianna [129]2 years ago

5 0

Answer:

x = 1

Step-by-step explanation:

you can first find the two zeroes

that would be

x + 2 = 0

x - 4 = 0

x = {-2, 4}

then you average them

-2 + 4 = 2

2 / 2 = 1

the aos is 1

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Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un

ioda

Answer with explanation:

For any object having the velocity vector as

$\overrightarrow{v}=v_x\widehat{i}+v_y\widehat{j}+v_z\widehat{k}$

the magnitude of velocity is given by

$|v|=\sqrt{v_x^2+v_y^2+v_z^2}$

For car 1 the velocity vector is

$\overrightarrow{v}_1=20\widehat{i}+25\widehat{j}$

Therefore

$|v_1|=\sqrt{20^2+25^2}\\\\\therefore v_1=32.0156units$

Similarly for car 2 we have

$\overrightarrow{v}_2=30\widehat{i}$

Therefore

$|v_2|=\sqrt{30^2}\\\\\therefore v_2=30.0units$

Comparing both the values we find that car 1 has the greater speed.

7 0

3 years ago

5/2x+1/4=12 solve for x

aniked [119]

Answer:

4/5 (2x + 5) − 4 =1

4/5(2x +5) = 1 +4

4/5 (2x +5) = 5

2x + 5 = 5 / (4/5)

2x + 5 = 5 (5/4)

2x + 5 = 25/4

2x = 25/4 - 5

2x = 25/4 - 20/4

2x = 5/4

x = (5/4) / 2

x = (5/4) (1/2)

x = 5/8

x = 0.625

7 0

3 years ago

Read 2 more answers

Three pounds of lawn seed covers 1800 square feet how many 4 pound bags are needed to cover 8400 square feet.

VikaD [51]

You need to find the unit rate of 3 : 1800 first by dividing 1800 and 3

1800 ÷ 3 = 600

So this means for every 1 pound bag it covers 600 square feet. You now need to multiply 600 and 4 to see how many square feet 4 pounds cover.

600 × 4 = 2400

So each 4 pounds covers 2400 sq ft. Now you have to divide 8400 and 2400 to find how many bags of 4 pounds you need

8400 ÷ 2400= 3.5

You need 3.5 bags of 4 pounds.
Technically you would need 4 bags because you’d have to round it up.

Hope this helps you!! :)

7 0

3 years ago

If you help ill give you some of my banana milk...

snow_tiger [21]

Given:

The function is:

$f(x)=4x^2-25x-21$

To find:

The domain of the given function.

Solution:

Domain is the set of input values.

We have,

$f(x)=4x^2-25x-21$

It is a quadratic polynomial.

We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:

Domain = Set of all real number

Domain = (-∞,∞)

Therefore, the correct option is B.

3 0

3 years ago

Find the value of x in the triangle shown below.<br> Choose 1 answer:

Ad libitum [116K]

For the triangle, x is 12 units long.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.

In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.

Step 2:

By substituting the known values, we get

$13^{2} = 5^{2} + x^{2} .$

$x^{2} = 169 - 25 = 144.$

$x = 12.$

Rounding this off to the nearest hundred, we get that x is 12 units long.

7 0

3 years ago