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Zigmanuir [339]
3 years ago
5

The area of a triangular plot with a base of 5 yards and a height of 8 yards is 20 square yards. What is the area of the triangu

lar plot in square feet?
Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Answer:

i think 60

Step-by-step explanation:

because the area in square yards is 20 and there are 3 ft in a yard so you would multiply 20 by 3 and you get 60

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Geometry please help!
stiks02 [169]

Answer:

D

Step-by-step explanation:

in order for something to be a function, an x value cannot have more than one y value.

4 0
3 years ago
Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can K
omeli [17]

Answer:

10

Step-by-step explanation:

4 0
2 years ago
Find f(g(x)). State the domain of the composite function.<br> f(x) = 3x-2/x+1<br> g(x) = x+5/2x-3
AnnyKZ [126]

Answer:

ℝ - {(-2/3),(3/2)}

Step-by-step explanation:

We want the domain of f(g(x)). So, firstly, we have to find the domain for g(x) and, then, for f(g(x)).

- Domain of g(x): Since the expression is a fracion, we must exclude the values of x that make null the denominator. Hence,

g(x)=\dfrac{x+5}{2x-3}\Longrightarrow 2x-3\neq 0\iff \boxed{x\neq\dfrac{3}{2}}

- Domain of f(g(x)): We'll find its expression:

f(x) = \dfrac{3x-2}{x+1}\\\\f(g(x)) = \dfrac{3g(x)-2}{g(x)+1}\\\\f(g(x)) = \dfrac{3\cdot\dfrac{x+5}{2x-3}-2}{\dfrac{x+5}{2x-3}+1}=\dfrac{~~~\dfrac{3(x+5)-2(2x-3)}{2x-3}~~~}{\dfrac{(x+5)+(2x-3)}{2x-3}}\\\\f(g(x)) =\dfrac{3(x+5)-2(2x-3)}{(x+5)+(2x-3)}=\dfrac{3x+15-4x+6}{x+5+2x-3}\\\\\boxed{f(g(x)) =\dfrac{21-x}{3x+2}}

Now, once again, we have to exclude the values of x that make the denominator equals to zero. Thus,

f(g(x)) =\dfrac{21-x}{3x+2}\Longrightarrow 3x+2\neq0\iff \boxed{x\neq-\dfrac{2}{3}}

Lastly, we may write the domanin of f(g(x)):

D(f(g(x)) = \left]-\infty,-\dfrac{2}{3}\right[\cup\left]-\dfrac{2}{3},\dfrac{3}{2}\right[\cup\left]\dfrac{3}{2},\infty\right[

or, just writing in a shorter way:

\boxed{D(f(g(x)) = \mathbb{R}-\left\{-\dfrac{2}{3},\dfrac{3}{2}\right\}}

7 0
2 years ago
You and your friend complete video game levels at the same rate. You complete 5 levels in 45 hours. How many levels does your fr
alex41 [277]

Answer:

Your friend complete 1 level per 9 hours.

You complete 5 levels in 45h so you get 1 lv per 9h 45/9=5

8 0
2 years ago
1. Find the slope using points: (2, 2) and (-5, 4)
IrinaK [193]

Answer:-2/7

Step-by-step explanation:

m=y2-y1/x2-x1

m=slope

3 0
3 years ago
Read 2 more answers
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