Answer:
Y - 5 < 20
Step-by-step explanation:
5 less than Y translates to:
Y - 5
Under 20 translates to:
< 20
Therefore your answer is
Y - 5 < 20
Answer:
1) a = -⅙, b = ⅙, c = 1
2) 6 units
Step-by-step explanation:
1) f(x) = ax² + bx + c
Given the roots, we can write this as:
f(x) = a (x + 2) (x − 3)
We know that f(13) = -25, so we can plug this in to find a:
-25 = a (13 + 2) (13 − 3)
-25 = 150a
a = -⅙
Therefore, the factored form is:
f(x) = -⅙ (x + 2) (x − 3)
Distributing:
f(x) = -⅙ (x² − x − 6)
f(x) = -⅙ x² + ⅙ x + 1
Graph: desmos.com/calculator/6m6tjoodvb
2) Volume of a right prism is area of the base times the height.
V = Ah
The base is an equilateral triangle. Area of a triangle is one half the base times height.
V = ½ ab h
The height of the triangle is the same as the height of the prism.
V = ½ bh²
In an equilateral triangle, the height is equal to half the base times the square root of 3.
V = ½ b (½√3 b)²
V = ⅜ b³
Given that V = 81, solve for b.
81 = ⅜ b³
216 = b³
b = 6
Convert <span>6\frac{3}{8}<span>6<span><span>8</span><span>3</span><span></span></span></span></span><span> to improper fraction. Use this rule: </span><span>a \frac{b}{c}=\frac{ac+b}{c}<span>a<span><span>c</span><span>b</span><span></span></span>=<span><span>c</span><span><span>ac+b</span></span>:</span></span></span>
∣8<span><span><span><span>6×8+3</span></span><span></span></span>−2∣+∣−8<span><span>8</span><span>5</span><span></span></span>−1<span>∣
</span></span>Simplify <span>6\times 8<span>6×8</span></span><span> to </span>48: <span><span><span><span><span>
</span>8</span><span><span>48+3</span></span><span></span></span>−2∣+∣−8<span><span>8</span><span>5</span><span></span></span>−1∣
</span>Simplify <span>48+3<span>48+3</span></span><span> to </span>51:</span><span><span><span><span><span>
</span>8</span><span><span>51</span></span><span></span></span>−2∣+∣−8<span><span>8</span><span>5</span><span></span></span>−1∣
</span> Make the denominators the same:
<span><span><span>51</span><span>/8</span></span>−2×<span><span>8</span><span>8</span><span>
</span></span></span><span>Simplify. Denominators are now the same:
</span>
<span><span><span>51</span><span>/8</span></span>−<span><span>8</span><span><span>16</span></span><span>
</span>
</span></span>Join the denominators: \frac{51-16}{8}<span><span>8</span><span><span>51−16</span></span><span>
</span>
etc.. and your answer will be 14
</span></span>
Answer:
What is 5 + 2(3x + 4)+ x?
the answer is 7x + 13
Step-by-step explanation:
from the quwstion What is 5 + 2(3x + 4)+ x
we aproach the problem using BODMAS
we have;
5 + 6x + 8 + x
=7x + 13
