All categories

3 years ago

What is the factorization of the polynomial below? x^2+6x+8

Mathematics

2 answers:

PIT_PIT [208]3 years ago

8 0

Answer:

(x + 4)(x+2)

Step-by-step explanation:

We must multiply 8 and 1, and find two numbers which add to 6:

8 * x(suppose x is 1) = 8

Two numbers which add to 6, but also multiply to 8:

4 and 2

4 * 2 = 8

4 + 2 = 6

Hence, the answer would be (x + 4)(x+2)

igor_vitrenko [27]3 years ago

6 0

Answer:

(x+2) (x+4)

Step-by-step explanation:

x^2+6x+8

What 2 numbers multiply together to give us 8 and add together to give us 6

(2*4) =8

(2+4) = 6

(x+2) (x+4)

You might be interested in

Car A travels 120 miles in the same time that car B travels 150 miles. If car B averages 10 mph faster than car A, what is the s

amid [387]

Answer:

Speed of car A = 40 mph

Speed of car B = 50 mph

Step-by-step explanation:

Given:

Distance travelled by car A = 120 miles

Distance travelled by car B = 120 miles

To Find:

speed of each car = ?

Solution:

Let the speed of car A be x

then speed of car B is (x +10)

The Time taken for each car is same

Time taken for car A = Time taken for car B

We know that time = $\frac{distance}{speed}$

Time taken for car A

=> $\frac{120}{x}$ ---------------------------(1)

Similarly

Time taken for car B

=> $\frac{150}{x+10}$ -----------------------(2)

Equating (1) and (2), we get

$\frac{120}{x}$ = $\frac{150}{x+10}$

$120 \times (x+10) = 150 \times x$

120x + 1200 = 150x

1200 = 150x-120 x

1200 = 30x

$x= \frac{1200}{30}$

x= 40

Speed of car A = 40mph

Speed of car B = (x+10) = (x+40) = 50mph

6 0

3 years ago

Of 5

aniked [119]

Answer:

Krutika

Step-by-step explanation:

Lets convert each person's typing rate to words/min.

Krutika:

80 minutes = 6000 words

1 minute = (6000/80) words

= 75 words

Typing Rate: 75 words / min

Mark:

60 minutes = 4200 words

1 minute = (4200/60) words

= 70 words

Typing Rate: 70 words / min

David:

90 minutes = 5850 words

1 minute = (5850/90) words

= 65 words

Typing Rate: 65 words / min

From the above, we can see Krutika has the fastest rate of words per minute.

3 0

2 years ago

Solve x+6(x-1)=7(3+x)

Lina20 [59]

Let's solve your equation step-by-step.

x+6(x−1)=7(3+x)

Step 1: Simplify both sides of the equation.

x+6(x−1)=7(3+x)

x+(6)(x)+(6)(−1)=(7)(3)+(7)(x)(Distribute)

x+6x+−6=21+7x

(x+6x)+(−6)=7x+21(Combine Like Terms)

7x+−6=7x+21

7x−6=7x+21

Step 2: Subtract 7x from both sides.

7x−6−7x=7x+21−7x

−6=21

Step 3: Add 6 to both sides.

−6+6=21+6

0=27

5 0

3 years ago

the two triangles below are similar use what you know about similar triangles to find the missing side. show your work

lara31 [8.8K]

If both triangles are similar the ratio of sides will be same

$\\ \sf\longmapsto \frac{x}{24} = \frac{6}{12} \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x = \frac{144}{12} \\ \\ \sf\longmapsto x = 12$

7 0

3 years ago

Find the product of (3.7 •10^4) and 2.

Inga [223]

Answer:

18.5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers