Answer:
![-5\leq x\leq -1](https://tex.z-dn.net/?f=-5%5Cleq%20x%5Cleq%20-1)
Step-by-step explanation:
This is a compound inequality that basically states that the X value is greater than or equal to -5, but less than or equal to -1. It is inclusive, because it includes both numbers and therefore should have an equal to sign (
) instead of just less than or greater than ( < or >).
The answer would be the top right graph where none of the lines intersect since it shows that there is no possible real solutions for the system if none of the lines intersect on a certain point.
Remember: If the lines intersect, there is a solution; if the lines do not intersect, there is no solution; if the lines fall on the same line, or the equations are equivalent, then the solution is all real numbers.
11. Assuming distance is proportional to time,
.. (3 h)/(7 h) = d/(665 km)
.. d = (665 km)*(3/7) = 285 km . . . . . . selection B
12. (30 L)/(1.5 L/min) = 20 min . . . . . . selection C
Answer:
The value of x is 1.5
Step-by-step explanation:
<em>In similar figures, corresponding sides have the same ratio</em>
In the given figure
∵ There are 2 similar polygons
∴ We must write their names with corresponding angles
∵ ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, ∠D = ∠P
∴ Their names are ABCD and LMNP
→ By using the rule above
∴ Their corresponding sides have the same ratio
∴
= ![\frac{BC}{MN}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BMN%7D)
∵ AB = 14 and LM = x + 9
∵ BC = 10 and MN = x + 6
→ Substitute them in the ratio up
∴
= ![\frac{10}{x+6}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7Bx%2B6%7D)
→ By using the cross multiplication
∵ 14 × (x + 6) = 10 × (x + 9)
∴ 14(x) + 14(6) = 10(x) + 10(9)
∴ 14x + 84 = 10x + 90
→ Subtract 10x from both sides
∵ 14x - 10x + 84 = 10x - 10x + 90
∴ 4x + 84 = 90
→ Subtract both sides by 84
∵ 4x + 84 - 84 = 90 - 84
∴ 4x = 6
→ Divide both sides by 4 to find x
∴ x = 1.5
∴ The value of x is 1.5
Answer:
-28.5
-5
-11.8
-4.5
Step-by-step explanation:
From that data provided for Monday
Temperature at noon = temperature at midnight + the change in temperature
-32 + 20 = -12
Temperature on Tuesday's noon = -17.5 + (-11) = -28.5
Temperature on Friday's noon = -21.8 + 17.3 = -4.5
From that data provided for Monday
Temperature at midnight = temperature at noon - change in temperature
-12 - 20 = -32
Temperature on Wednesday's midnight = 10.5 - 15.5 = -5
From that data provided for Monday,
change in temperature = temperature at noon - temperature at midnight
-32 - (-12) = 20
Change in temperature on Thursday = -24 - (-12.2) = -11.8