Explain how you can write an equation for the given situation in standard form. One number is 5 more than a second number. The product of the two numbers is 891. A) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x-891=0

B) Let x be the smaller number, and then x+5 is the larger number. This means that x+(x+5)=891, which can be rewritten as 2x-886=0

C) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x+891=0

D) Let x be the smaller number, and then x+5 is the larger number, This means that x+5/x=891, which can be rewritten as 890x-5=0

you figure it out

Step-by-step explanation:

Number one is going to be N1

Number two is going to be N2

Product of the two numbers combined is going to be 891

N1= N2 +5

N1 + N2 = 891

(N2+5) + N2 = 891

N2 +5 +N2 =891

2N2 + 5 =891

im gonna let you figure the rest out

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation: