Answer:
8x^2 - 26x + 33
Step-by-step explanation:
Add the expressions.
2x^2 - 13x + 12 + 6x^2 - 13x + 21 =
= 2x^2 + 6x^2 - 13x - 13x + 12 + 21
= 8x^2 - 26x + 33
<span>Perimeter of a rectangle: 2(l + w)
</span>
2(l + w) ≥ 30 in
<span>
Simplify- divide both sides by 2.
l + w ≥ 15 in
Substitute (w + 3) into l so only 1 variable is used.
(w + 3) + w ≥ 15 in
Simplify further- add variables and subtract 3 from both sides.
2w ≥ 12 in
Divide both sides by 2.
w ≥ 6 in
Answer: D</span>
Answer:
about 37.7 feet
Step-by-step explanation:
If the outside wheels are turning twice as fast, they go twice the distance in the same time. The distance they travel is proportional to the radius of the circle, so the outside circle must have twice the radius of the inside circle.
Adding 6 ft to the radius of the inside circle doubles the radius, so the inside circle's radius must be 6 feet. Then the circumference of the inside circle is ...
C = 2πr = 2π(6 ft) = 12π ft ≈ 37.7 ft
This situation can be represented by
y = 33x + 223
y = 32x + 239
I still like substitution, so let’s plug in 33x + 223 into the second equation
33x + 223 = 32x + 239
Move the terms into appropriate sides
33x - 32x = 239 - 223
Combine like terms
x = 16
Then plug in x for any equation
y = 32(16) + 239
y = 751
Erin will have to swim 16 laps for a total of 751 meters
Answer:
236,859 people visited the water park the year it opened.
Step-by-step explanation:
426,731 - 102,865= 323,866 the amount of people that visited last year
323,866 - 87,007 = 236,859 the amount of people that visited the water park the year it opened
