(08.03 LC) Factor completely: x2 + 10x + 24 (5 points) Prime (x + 12)(x + 2) (x + 3)(x + 8) (x + 6)(x + 4)

Mathematics

1 answer:

Alona [7]4 years ago

5 0

Answer:

Option C is correct

Step-by-step explanation:

We need to factorize the expression:

$x^2+10x+24$

For factorization we need to break the middle term such that the product is equal to 24x^2 and the sum is equal to 10x

We know that 6*4 = 24 and 6+4 =10

So, solving

$=x^2+6x+4x+24$

Taking common

$=x(x+6)+4(x+6)$

$=(x+4)(x+6)$

So, the factors of

$x^2+10x+24$

are

$(x+4)(x+6)$

Hence Option C is correct

You might be interested in

Uppose jina has 9.23 pounds of seed. if it takes 7.1 pounds of seed to plant one acre of grass, how many acres of grass can be p

Ber [7]

Only 1 whole acre and it you want to be technical you can plant 1.3 acres. Just divide

3 0

3 years ago

An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to

Serhud [2]

Answer:

either of ...

• quadrant 1 only

• quadrant 1 and 4 only

Step-by-step explanation:

Time since the storm started is always positive. The values of x are positive in quadrants 1 and 4.

Temperatures in a blizzard are not always terribly cold. Some of the coldest snowstorms on record have temperatures in the range of +5 °F to +18 °F. These values are negative temperatures on the Celsius scale, so the quadrant used for plotting them will depend on the temperature scale you choose.

While temperatures in Alaska can be well below zero (on either the F or C temperature scales), the air usually has to warm up to the range indicated above before it can snow. US temperatures are generally reported using the Fahrenheit scale, but weather records are often kept using the Celsius scale.

I would be inclined to choose "Quadrant 1 and 4 only", but arguments can be made for "1 only" and "4 only" as suggested above.

8 0

3 years ago

In the figure, the slope of mid-segment DE is -0.4. The slope of segment AC is?

chubhunter [2.5K]

Answer:

$\pink{\boxed{{\colorbox{white}{Answer}}}}$

$\purple {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$