A line goes through the points (-4,7) and (1,2) what is the equation of the line

10 less than the product of

Snezhnost [94]

Answer:

x=45

Step-by-step explanation:

2/5x-10=8

2/5x=18

x=18÷2/5

x=18(5/2)

x=45

6 0

3 years ago

Read 2 more answers

The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?

Dafna1 [17]

Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

7 0

3 years ago

Find the GCF of 14a and 28ab

raketka [301]

The GCF would be 14a, because 14a x 1 = 14a, and 14a x 2b = 28ab.

8 0

3 years ago

Consider the functions f and g defined by \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\qquad\qquad\text{and}\qquad\qquad g(x) = \dfrac{\sqrt

tino4ka555 [31]

Answer:

The given functions are not same because the domain of both functions are different.

Step-by-step explanation:

The given functions are

$f(x)= \sqrt{\dfrac{x+1}{x-1}}$

$g(x) = \dfrac{\sqrt{x+1}}{\sqrt{x-1}}$

First find the domain of both functions. Radicand can not be negative.

Domain of f(x):

$\dfrac{x+1}{x-1}>0$

This is possible if both numerator or denominator are either positive or negative.

Case 1: Both numerator or denominator are positive.

$x+1\geq 0\Rightarrow x\geq -1$

$x-1\geq 0\Rightarrow x\geq 1$

So, the function is defined for x≥1.

Case 2: Both numerator or denominator are negative.

$x+1\leq 0\Rightarrow x\leq -1$

$x-1\leq 0\Rightarrow x\leq 1$

So, the function is defined for x≤-1.

From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).

Domain of g(x):

$x+1\geq 0\Rightarrow x\geq -1$

$x-1\geq 0\Rightarrow x\geq 1$

So, the function is defined for x≥1.

So, domain of g(x) is [1,∞).

Therefore, the given functions are not same because the domain of both functions are different.

4 0

4 years ago

Tata Darka ma 20 m siatki ogrodzeniowej.Jakie wymiary w metrach,wyra¿one liczbami naturalnymi,powinien mieæ prostok¹tny warzywni

grin007 [14]

Answer:

Hence the dimensions are 5×5 i.e. 5 meters and 5 meters such that its field would be as large as possible.

Step-by-step explanation:

Darek's dad has a 20 m fencing mesh.

Since we have to make a rectangular garden with he help of fencing the garden using this mesh, that means perimeter of this garden is 20 m.

i.e. 2( l+b)=20

also we have to fenced in such a way that its field would be as large as possible.

ie. it has the largest Area.

Now we will start from the dimensions possible as:

9×1 whose area will 9 m^2 (since Area=l×b)

Next dimension will be:

8×2 whose area will be 16 m^2

Next will be:

7×3 whose area will be 21 m^2

Next will be:

6×4 whose area will be 24 m^2

Next will be:

5×5 whose area will be 25 m^2

Next will be:

4×6 whose area will be same as of 6×4.

Hence, we get the maximum area to be 25 m^2 which is obtained when the dimensions are 5×5.

5 0

3 years ago