4. Jake has m nails and twice as many bolts as nails. He buys another 20 nails and 30 bolts. a) Find the number of nails he has in terms of m.

b) Find the number of bolts he has in terms of m.

c) What is the total number of bolts and nails he has in terms of m.

n = nails and b = bolts

start n and b (2n)

add 20n and 30(2n)

2n is just the quantity of bolts expressed in amount of nails

n + 20 nails

2n

Step-by-step explanation:

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is