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Damm [24]
3 years ago
7

What is the quotient (x3 + 3x2 + 5x + 3) ÷ (x + 1)?

Mathematics
2 answers:
GalinKa [24]3 years ago
8 0

That would be x^2 + 2x + 3

Studentka2010 [4]3 years ago
7 0

Answer:

\frac{x^3+3x^2+5 x+3}{x+1}\\\\=\frac{x^3+x^2+2x^2+2x+3x+3}{x+1}\\\\=\frac{x^2\times(x+1)+2x\times (x+1)+3\times (x+1)}{x+1}\\\\=\frac{(x+1)(x^2+2x+3)}{x+1}\\\\=x^2+2x+3

⇒Quotient =x²+2 x+3

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SS
Tanzania [10]

Answer:

c = 160 - 3(45)

Step-by-step explanation:

if c = the number of characters left;

160 = maximum number of characters that can be used in a text

3*45 = number of characters in sentences already used. (There are 3 sentences of 45 characters.)

(# of char left) = (max # char) - (# char already used) so:

c = 160 - 3*(45)

c = 160 - 135

c = 25

8 0
3 years ago
HELP! IS THIS RIGHT?
Stells [14]

Answer:

Yes a 1:3 ratio

Step-by-step explanation:

Yes triangle A is 3 times bigger than triangle B. So it takes 3 B triangles to make one A triangle.

6 0
2 years ago
Jacob leaves his summer cottage and drives home. After
krok68 [10]

Answer:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (a, b) and (c, d) then the slope can be written as:

a = (a - c)/(b - d)

Here y will represent the distance between Jacob and his house, and the variable x represents the time that he has ben driving.

In this case, we know that after driving for 5 hours, he is 112km from home.

Then we can write this point as (5h, 112km)

We also know that after 7 hours he is 15km from home.

Then we can write this point as (7h, 15km)

Then the slope of this function will be:

a = (15km - 112km)/(7h - 5h) = -48.5 km/h

Then the equation is:

y = -(48.5 km/h)*x + b

To find the value of b, we can replace the values of one of the points, for example in the point (7h, 15km)

This means that we need to replace x by 12h, and y by 15km, then we get:

15km = -( 48.5 km/h)*7h + b

15km + ( 48.5 km/h)*7h = b = 354.5 km

then the equation will be:

y = (-48.5 km/h)*x + 354.5 km

Now we want to answer: How long had Jacob been driving when he was 209 km from  home?

Then we need to only replace y by 209km, and solve for x:

209km = (-48.5 km/h)*x + 354.5 km

209km - 354.5 km = (-48.5 km/h)*x

-145.5km =  (-48.5 km/h)*x

-145.5km/( -48.5 km/h) = x = 3h

So he is 209km away from his home after driving for 3 hours.

6 0
3 years ago
Solve for x<br>2x^2 - 12x + 18 = 0​
maria [59]
X=3 was this helpful?
8 0
3 years ago
In the problem attached, what are the measures of angles a and b
iren2701 [21]

Answer:

B = 74

A = 93

Step-by-step explanation:

opposite angles equal 180

so 180 - 106 = b

180 - 87 = A

4 0
3 years ago
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