Answer:
7. Distributive Property
8. 8x +2.5
Step-by-step explanation:
7. The equation matches the pattern ...
a(b + c) = ab + ac . . . . . . . statement of Distributive Property
with a=√2, b=5, c=4
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8. The one-time charge of 2.50 will appear added in the equation one time (and not multiplied by anything). The number of tickets (x) will be multiplied by the ticket charge (8) and added to the one-time charge. Only one answer choice does that:
8x + 2.5
The <u>correct answer</u> is:
As x→-∞, y→-3.
As x→∞, y→∞.
Explanation:
As our values of x get further into the negative numbers, the value of 2ˣ will approach 0. This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.
This will make the value of the function 0-3=-3.
As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well. Since it continues to grow exponentially, we say the value approaches ∞.
Answer:
A=28
B=18
C=18
D=28
E=28
F=18
G=10
H=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. area of square=10²=100 cm²
area of circle=πr²=π×2.5²=6.25π cm²
reqd. area=100-6.25π ≈80.375 cm²
2.
area of circle=π×2.5²=6.25π≈6.25×3.14≈19.625 cm²
area of rectangle=4×3=12 cm²
reqd. area=19.625-12≈7.625 cm²
3.
area of two circles=2×π×3²=18π≈18×3.14≈56.52 cm²
area of square=12²=144 cm²
reqd. area=144-56.52≈87.48 cm²
4.
area of smaller circle=π×4²=16π cm²
area of bigger circle=π×8²=64π cm²
area of two circles=16π+64π=80π cm²
diameter of bigger circle=4+4+8+8=24 cm
diameter of biggest circle=π×12²=144π
area of shaded region=144π-80π=64π≈200.96 cm²
Answer:
-4 ≤x≤1
Step-by-step explanation:
Increasing means that as x goes from left to right, the y value is getting larger
The graph is increasing from -4 to 1
-4 ≤x≤1
