Multiply: (3x – 5)(–x + 4)
applying the distributive property, the expression becomes (3x)(–x) + (3x)(4) + (–5)(–x) + (–5)(4).
what is the simplified product in standard form?
x2 + x +

-3x^2+17x-20

Step-by-step explanation:

-3x^2+12x+5x-20

=-3x^2+17x-20

Step-by-step explanation:

We have been given an expression . We are asked to find the simplified product of the given expression in standard form.

Using distributive property , we will get:

Combine like terms:

Therefore, the product of our given expression would be .

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: