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3 years ago

Is the gcf os a pair of numbers ever greater than both numbers ? explain with an example.

2 answers:

6 0

The gcf of numbers can never be greater than both numbers, because in order to be a gcf, it must be a factor that both numbers have, so if one number does not have that then it is not a gcf.

VARVARA [1.3K]3 years ago

4 0

Answer:

No, G.C.F. of pair of numbers can never be greater than both numbers.

Step-by-step explanation:

G.C.F. (Greatest Common Factor) of pair of numbers is defined as the greatest factor of both the number that exactly divides both numbers.

For Example: G.C.F. of 14 and 21 =

36 = 2 × 2 × 3 × 3

48 = 2 × 2 × 2 × 2 × 3

Common Factors of 36 and 48 = 2 × 2 × 3 = 12

∴ G.C.F. = 12

As, we see that G.C.F. is factor of given number. So, it can never be greater than given numbers.

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A tow truck company in Houston charges a $40 service call fee and an additional fee of $15 per mile that the vehicle is towed. W

Juliette [100K]

Answer:

Step-by-step explanation:

Step one:

given data

charged = $40 call fee

additional charges= $15 per mile

let the number of miles be m

and let the total charges be c

Required, the linear function which represents the total charges

Step two:

the equation for the charges in slope-intercept form is

c=15m+40

7 0

3 years ago

ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. which equat

Oliga [24]

I'll just factor the above equation.

x² + 18x + 80

x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair

(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80

x+8 = 0
x = -8

x+10 = 0
x = -10

x = -8

(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0

(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0

I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.

4 0

3 years ago

Read 2 more answers

A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t

andreyandreev [35.5K]

Answer:

r = 2.632 cm
h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

r² = 3V/(πh)

The lateral surface area of the cone is ...

A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

T = A² = π²r²(r² +h²)

Substituting for r² using the expression above, we have ...

T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

dT/dh = -18V²/h³ +3πV

This will be zero when ...

3πV = 18V²/h³

h³ = 6V/π . . . . . multiply by h³/(3πV)

For V = 27 cm³, the value of h that minimizes paper area is ...

h = 3∛(6/π) ≈ 3.7221029

The corresponding value of r is ...

r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

_____

The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

Interestingly, the ratio of h to r is √2.

8 0

3 years ago

2 a square root of 2 b square root 3 parentheses for a square root 2 + 380 square root 2 - 80 parentheses equal

velikii [3]

2√2

= 2√2

√3(√2+380√2-80)

= -80√3+381√6

I hope that's help and sorry for the late answer !

5 0

3 years ago

A graphic artist has a picture that is 5 inches by 10 inches. The picture

tangare [24]

Answer:

15 inches

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers