Sydney needs to earn $35 so she can buy her father a birthday present. her mom said she can make $6 per hour cleaning around the house and $5 per hour raking leaves. there are 6 hours available before sydney's father's birthday party where she can either clean or rake leaves. which system of equations can be used to find how many hours sydney should spend cleaning and raking leaves so that she will earn exactly enough money to buy her father a birthday present? let x represent the number of hours spent cleaning and y represent the number of hours spent raking leaves.

if i can be brainliest that would be great

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

a

step-by-step explanation:

u take $30 minus $24. the answer/original($30)