use the grouping method to factor the polynomial below completely 3x^3+6x^2+5x+10
A. (3x^2+5)(x+2)
B. (3x^2+2)(x+2)
C. (3x^2+5)(x+5)
D. (3x^2+2)(x+5)

Answer:

3a+13

Step-by-step explanation:

Add 5 and 8 together to get 13

Answer: 1/4

Step-by-step explanation:

Answer:

Area = 3.0 square cm

Step-by-step explanation:

By cosine formula,

WX² = WY² + XY² - 2(WY)(XY)cos(∠W)

WX² = (1.5)² + (4.8)² - 2(1.5)(4.8)cos(52°)

WX² = 2.25 + 23.04 - 8.866

WX = √(16.424)

WX = 4.05 cm

Since, area of a triangle with known sides = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Here, s = [tex]\frac{a+b+c}{2}[/tex]

And a, b, c are the sides of the triangle

By this formula,

s = [tex]\frac{1.5+4.8+4.05}{2}[/tex]

s = 5.2

Therefore, area of the triangle XYZ = [tex]\sqrt{5.2(5.2-1.5)(5.2-4.8)(5.2-4.05)}[/tex]

= [tex]\sqrt{5.2(3.7)(0.4)(1.15)}[/tex]

= [tex]\sqrt{8.85}[/tex]

= 2.97

≈ 3.0 square cm

Answer:

5.08 i think

Step-by-step explanation:

Answer:

(2.2 +2 +8.9 +4.1 +8.2)/5

25.4/5

5.08

Answer:

sorry but i don't understand.

Step-by-step explanation:

Answer:

3X+8 IS THE ANSWER FOR EQUATION

26 IS 2ND ANSWER

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Answer:

[tex]3x - 11[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex]

Required

Determine the quotient

First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder

Equate the denominator to 0.

[tex]x + 5 = 0[/tex]

[tex]x = -5[/tex]

Substitute -5 for x in the numerator

[tex]3x^2 + 4x + 5 = 3*(-5)^2 + 4 * (-5) + 5[/tex]

[tex]3x^2 + 4x + 5 = 60[/tex]

This means that it has a reminder of 60

To get the quotient, we subtract 60 from the numerator and evaluate

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex] becomes

[tex]\frac{3x^2 + 4x + 5 - 60}{x + 5}[/tex]

[tex]\frac{3x^2 + 4x - 55}{x + 5}[/tex]

Expand the numerator

[tex]\frac{3x^2 + 15x - 11x - 55}{x + 5}[/tex]

Factorize:

[tex]\frac{3x(x + 5) - 11(x + 5)}{x + 5}[/tex]

Factor out x + 5

[tex]\frac{(3x- 11)(x + 5)}{x + 5}[/tex]

Cancel out x + 5

[tex]3x - 11[/tex]

Hence, the quotient is [tex]3x - 11[/tex]

Answer:

By solving x and y

Step-by-step explanation:

Answer:

x ≈ 39.2 , y ≈ 34.3

Step-by-step explanation:

Using the sine and tangent ratios in the right triangle

sin29° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{19}{x}[/tex] ( multiply both sides by x )

x × sin29° = 19 ( divide both sides by sin29° )

x = [tex]\frac{19}{sin29}[/tex] ≈ 39.2 ( to 1 dec. place )

------------------------------------------------------

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{19}{y}[/tex] ( multiply both sides by y )

y × tan29° = 19 ( divide both sides by tan29° )

y = [tex]\frac{19}{tan29}[/tex] ≈ 34.3 ( to 1 dec. place )

The answer for the following question is A) -b

Rational number is a number that can be written in the form of p/q. The correct expression that can represent a rational number is -b.

A rational number is a number that can be written in the form of p/q, where p and q are integers and the value of q≠0.

In order to find the expression that can represent a rational number, we need to find a number that can be represented in the form of p/q, Therefore, the correct option is -b.

Hence, the correct expression that can represent a rational number is -b.

Learn more about Rational Numbers:

https://brainly.com/question/2563850

Answer:

70.243

Step-by-step explanation:

hope this helps you!!

Answer:

0.243 + 70.3 = 70.543

Answer: $6

Step-by-step explanation:

Cost of item = $4.38

Mark up percent = 35%

Sakes price will be the addition of the cost price and the mark up price. This will be;

= $4.38 + (35% × $4.38)

= $4.38 + (0.35 × $4.38)

= $4.38 + $1.533

= $5.913

= $6 approximately

Answer:

number of cats

[tex]90 \times \frac{4}{15} \\ 24cats[/tex]

Answer:

The given line has slope m=1

the perpendicular line MUST have slope -1

Since it MUST eat (-3,2), the intercept formula says

B = y - mx = 2 - (-1)(-3)  = 2 - 3 = -1

so the equation of the perpendicular line that eats point W is

y = -x -1

The lines y=x+3 and it's perpendicular y = -x-1 intersect at

  y = x+3 = -x-1

   2x+3 = -1

  2x = -4

  x = -2

THe intersection point is

(-2,1)

Finally by distance formula,

The distance between (-3,2) and (-2,1) is

 sqrt ( (-3 - -2)^2 + ( 2-1)^2)

= sqrt( (-3 + 2)^2 + (2-1)^2)

 = sqrt( (-1)^2 + 1^2)

  = sqrt ( 1+1)

 = sqrt(2)

Step-by-step explanation:

The distance between line l and the point E (-7, 0) will be;

D = 3.

What is distance between point and line?

The distance between a line ax + by + c = 0 and point (p, q) will be;

D = |ap + bq + c|/√a² + b²

Given that;

Equation of line;

y = -3

And, Point = E (- 7, 0)

Hence, The distance between a line and point is calculated as;

Equation of line;

y = -3

y + 3 = 0

Compare with ax + by + c = 0, we get;

a = 0, b = 1 and c = 3

And, Point = (p, q) = (-7, 0)

Thus, The distance between a line and point is;

D = |0 + 0 + 3|/√0+1

D = 3

So, The distance between line l and the point E (-7, 0) will be;

D = 3.

Learn more about the equation of line visit:

https://brainly.com/question/24656140

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Answer:

58

Step-by-step explanation:

20+12= 32

it is a 90 degree angle so

90-32=58

58 is closest to 60

Answer:

16

Step-by-step explanation:

Step-by-step explanation:

Elsa 40÷6= 6.666, or 6 2/3 bushels per hour

Kim 40÷10= 4 bushels per hour.

together, they pick 10.66 bushels per hour, so 40÷ 10.66= 3.75 hours, or 3 hours, 45 minutes

Answer:

20 months

Step-by-step explanation:

A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months. The overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex].

(a)

As the overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex],

[tex]w=kt[/tex]

Here, [tex]k[/tex] is a constant.

A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months.

Put [tex]w=1\,,\,t=2[/tex]

[tex]1=2k\\k=\frac{1}{2}[/tex]

So,

[tex]w=\frac{t}{2}[/tex]

(b)

To find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked, put [tex]w=10[/tex] in [tex]w=\frac{t}{2}[/tex]

[tex]10=\frac{t}{2}\\\\t=10(2)\\[/tex]

[tex]t=20[/tex] months

Answer:

The answer is C

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Here is the full question used in answering this question :

Francine wants to find a total of 2/3 cup of blueberries and 5/8 cup of raspberries what is the least common denominator of the fractions

Least common denominator of fractions is the smallest number that can divide both the denominator of 2/3 and the denominator of 5/8. The denominators here are 3 and 8

The least common denominator = 3 x 8 = 24

Answer:

503

Step-by-step explanation:

503/7= quotient(71), remainder(6)

503/8=quotient(62), remainder(7)

Answer: Question 1 is m=-7/4

Question 2 is -4 as the y axis where it intercepts and the other coordinate is (3,-2)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Since the line is not scaled, then how do we know for sure.  But, we do know that point A is the opposite of point C.   For example, if C = 150, then A = -150

Step-by-step explanation:

Since the line is not scaled, then how do we know for sure.  But, we do know that point A is the opposite of point C.   For example, if C = 150, then A = -150

i need an answer to this too