All categories

3 years ago

Just divide and check,(x^2 + 7x + 10) ÷ (x + 2)

Mathematics

1 answer:

Serggg [28]3 years ago

3 0

Answer:

x+5

Step-by-step explanation:

so first you would divide by x (which means you would multiply x+2 by -x)

x^2 + 7x + 10

-x^2 - 2x

5x + 10

then you would divide by 5 (which means you would multiply x+2 by -5)

5x + 10

5x +10

So then to check it you would multiply x+5 by x+2

(x+5)(x+2)

x^2 + 2x + 5x + 10

then simplify to get

x^2 + 7x + 10

You might be interested in

How many decibels is this? show work

slavikrds [6]

Answer:

115 dB

Explanation:

1. Given equation:

$\beta =10log(\frac{I}{I_0})\\\\ I_0=10^{-12}W/m^2$

2. Given intensity:

$I=0.315W/m^2$

3. Decibels

$\beta =10log(0.315/10^{-12})\\ \\ \beta =10log(315,000,000,000)\\ \\ \beta =10(11.498)=114.98\approx 115$

4 0

3 years ago

In the following figure, EM is tangent to circle A at point C.

Sphinxa [80]

Answer:

A must be true

Step-by-step explanation:

Since ABE and angle ACE are right angles the rest of the 2 angles are right angles either therefore EC = AB

6 0

3 years ago

Determine which of the following numbers could not represent the probability of an event. Explain your reasoning. (a). 33.3% (b)

statuscvo [17]

Answer:

B and F

Step-by-step explanation:

The simple golden rule that we need to know here is

"The probability of any event is always between 0 and 1 inclusive"

If an event has a probability of p(x), we can say:

$0 \leq p(x) \leq 1$

Also, probability is ALWAYS POSITIVE.

Thus,

A) OK because 33.3% is 0.333, which is between 0 and 1

B) NOT OK, because probability isn't negative

C) 0.0002 is in between 0 and 1, so possible

D) 0 probability means it can't happen, so that's okay as well

E) this is a fraction with numerator less than denominator, which means its between 0 and 1, so OK

F) this fraction's numerator is greater than denominator, so it's greater than 1. Probability can't be greater than 1, so NOT OK

Out of these B and F cannot represent the probability of an event

6 0

3 years ago

A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the

ryzh [129]

Answer:

The speed of the plane is $v=1.2\: m/s$

Step-by-step explanation:

The vector (5,6) represents a point in the coordinate system time-position.

So, we have that at t = 5 s the position is x = 6.

Let's recall that the slope of this vector is the speed, then using the tangent definition:

$v=\frac{x}{t}=\frac{6}{5}$

$v=1.2\: m/s$

I hope it helps you!

3 0

3 years ago

A survey of a group of tourists was taken in St. Louis. The survey showed the following: of the tourists plan to visit Gateway

kykrilka [37]

Answer:

14 people visited art museum.

Step-by-step explanation:

A Group of 115 tourists took in St. Louis.

61 tourists plan to visit the Gateway,

48 plan to visit the zoo,

11 plan to visit the Art Museum but not the Gateway arch,

12 plan to visit the Art Museum, but not the zoo,

17 plan to visit the Gateway arch and zoo but not the art museum,

Seven plan to visit the art museum, the zoo and gateway arch,

Sixteen plan to visit none of three places.

How many plans to visit the art museum?

Let

Number of tourists plan to visit Art museum = x

People plan to visit none of three places = 16 = 115 – 16 = 99

People who visited gateway arch = 61 - 12 - 17 -7= 25

People who visited zoo = 48 – 11 – 17 – 7 = 13

People who visited art museum = 99 – 11 – 17- 7 – 25 – 13 = 14

14 people visited art museum.

3 0

3 years ago

Just divide and check,(x^2 + 7x + 10) ÷ (x + 2)​

Just divide and check,(x^2 + 7x + 10) ÷ (x + 2)