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ankoles [38]
3 years ago
7

For the pair of functions, find the indicated sum, difference, product, or quotient.

Mathematics
1 answer:
ycow [4]3 years ago
7 0
For the pair of functions, find the indicated sum, difference, product, or quotient.

f(x) = 6 - 7x, g(x) = -3x + 7
Find (f + g)(x).

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Container A has a greater volume than Container B. Each container has a volume between 220 and 240 cubic inches. Use 3.14 for ?.
Yuri [45]

Answer:

220

Step-by-step explanation:

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Can you tell me the answer it's my birthday today
ExtremeBDS [4]
Happy birthday, and the answer would be 3m(squared). The formula is LxH/2.
3 0
3 years ago
Which statement is correct?
sladkih [1.3K]

Answer:

c

Step-by-step explanation:

A line that rises from left to right has a positive slope.

4 0
3 years ago
Read 2 more answers
While performing a piece of music, Tommy strikes the cymbals every 7 beats and the triangle is every 12 beats. If he just struck
Semmy [17]

Answer:

84

Step-by-step explanation:

In interval questions we use LCM

LCM of 7, 12=84

Therefore, the number of beats will pass before he again strikes them at the same time is 84

5 0
2 years ago
2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
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