Which solution is the best estimate to the system of equations? {y=14x−2y=−2x+3 (2.2, −1.4) (0, 3) (0, −2) (1.5, 0) a system of two linear equations. two lines graphed on a coordinate plane with x and y axis ranging from negative 5 to 5. one line passes through the points begin ordered pair 0 comma 3 end ordered pair and begin ordered pair 3 comma negative 3 end ordered pair. the other line passes through the points begin ordered pair 0 comma negative 2 end ordered pair and begin ordered pair 4 comma negative 1 end ordered pair.

The best estimate solution to the system of equations is (0, 3)

Step-by-step explanation:

we have

y=14x-2 > equation A

y=-2x+3 > equation B

Solve the system by elimination

Multiply the equation B by 7 both sides

(7)y=(7)(-2x+3)

7y=-14x+21 > equation C

Adds equation A and equation C

y=14x-2

7y=-14x+21

y+7y=-2+21

8y=19

y=19/8

Find the value of x

y=14x-2

19/8=14x-2

19=112x-16

112x=19+16

112x=35

x=35/112

so

The solution is the point (35/112,19/8)

Convert to decimal number

(0.3125,2.375)

therefore

The best estimate solution to the system of equations is (0, 3)

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)