Which phrase matches the algebraic expression below? (1 point) 3(x - 7) + 10

0

Three times the sum of x and seven plus ten

Ob

Three times x minus seven plus ten

Ос

Three times x minus the sum of seven and ten

Od

Three times the difference of x and seven plus ten

Step-by-step explanation:

In this exercise, we are expected to convert a mathematical expression to a word problem

Given the expresion

3(x - 7) + 10

we can see that the expression has two parts or terms

the first term is 3(x - 7)

which can be translated as three times the difference of x and 7

the second part is a constant term of 10, it carries a positive sign

so we have to add it up to the first term hence the first term plus 10

In all the word to expression the mathematical relation is

Three times the difference of x and seven plus ten

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.