In this problem, the shape of the sail is equilateral
triangle. You are given that the measurement of each side is x – 10 units. The perimeter
is 63 units. You have to formulate an equation to find the value of x. The
formula of the perimeter is to get the sum of the measurements of the three
sides of the triangle.
x – 10 + x – 10 + x – 10 = 63
3x – 30 = 63
3x = 63 + 30
3x = 93
x = 31
Therefore, the value of x is 31 and the measurement of each
sides is 21 units.
You cross multiple. Remember 5 = 5/1
So x/2 = 5/1
Cross multiple x is linked with 1 and 2 is lined with 5.
So x(1) = 5(2)
X = 10
Answer is a - 6 because 325 divided by 65 is 5 so then 30 divided by 5 is 6
Hey! Statement 1 is false because the domain of f is all real numbers since the function is quadratic.
Statement 2 is true.
Statement 3 is true because when we graph f, it is a parabola opening upwards with vertex (3, -1). Since it is opening upward, then the value of x from -∞ to 3 is decreasing while increasing from 3 to ∞.
Statement 4 is false because we just stated above that f is decreasing from -∞ to 3. Hence, f is also decreasing from -1 to 3. Hence, f is not increasing from -1 to ∞.
Statement 5 is false because the axis of symmetry is x = 3.
Statement 6 is true.
Hope this helps! :)
Answer:
3. 9
4. 5 pounds
5. 5/12 of a pound
Step-by-step explanation:
3. "at least 3/8" means to include that column in the count.
4. 3(1/4) + 4(3/8 ) + 3(1/2) + 2(5/8)
= 3/4 + 12/8 + 3/2 + 10/8 but we need a common denominator. LMK in the comments if you need help with that
= 6/8 + 12/8 + 12/8 + 10/8
= 40/8
= 5 pounds.
5. For the average, we add up all the weights, then divide by the number of kittens. Thankfully, we just added everything up in #4. Since we're going to be dividing 5 by 12, we'll end up with a decimal. But since the whole problem was written in fractions, we'll keep it in fractions.
40/8 divided by 12 kittens
40/8 divided by 12 = 40/8 muliplied by the inverse of 12 which is 1/12
40/8 x 1/12
= 40/96
Our numerator and denominator can be evenly dived by 8, so the fraction is reduced to
= 5/12
I'm happy to answer any questions.
