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Paraphin [41]
3 years ago
5

(a + 2b + 3c) − (4a + 6b − 5c) is equivalent to? Can you please explain with some details?

Mathematics
2 answers:
mestny [16]3 years ago
8 0
(a + 2b + 3c) - (4a + 6b - 5c)= a + 2b + 3c- 4a-6b + 5c =\\ \\=- 3a - 4b + 8c


disa [49]3 years ago
4 0
(a + 2b + 3 c) - (4a + 6b - 5c) =

= a + 2b + 3c - 4a - 6b + 5c =

= -3a - 4b + 8c
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Whats the unit rate for $2.50 for 5 ounces
kumpel [21]

For this case what we should do is find the cost per ounce.

For this, we can use the following rule of three:

5 ounces ----------------------> 2.50 $

1 oz ------------------------> x

From here, we clear the value of x.

We have then:

x = (\frac{1}{5}) * (2.50)\\x = 0.5

Answer:

The unit cost per ounce is given by:

x = 0.5 $ / ounce

4 0
3 years ago
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Jan has a piece of yarn that is 6 1/2 feet long. She cuts off a piece that is 2 5/12 feet long. How much yarn does she have left
icang [17]
The answer is b because all you have to do is just subtract if I am wrong so sorry
5 0
3 years ago
Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing,
alina1380 [7]

Answer:

We are have the function f(x).

Part 1: It is given that the function f(x) is transformed to f(x)+2.

This gives us that the function is translated 2 units upwards.

As, the y-intercept of f(x) is f(0). So, the y-intercept of f(x)+2 is f(0)+2, which is also translated 2 units up.

Translation does not change the behavior of the function.

So, if f(x) is increasing (or deceasing), then f(x)+2 will be increasing(or decreasing) respectively.

Moreover, f(x)+2 will be even or odd if f(x) is even or odd respectively.

Part 2: It is given that the function f(x) is transformed to \frac{-1}{2}f(x)

This gives us that the function is shrinked vertically by a factor of \frac{1}{2} followed by a reflection across x-axis.

Also, the y-intercept of is \frac{-1}{2}f(0).

The graph of f(x) after changing to \frac{-1}{2}f(x) will flip over the x-axis.

So, the function \frac{-1}{2}f(x) will increase or decrease when f(x) decrease or increase respectively.

Moreover, \frac{-1}{2}f(x) will be even if f(x) is even or odd respectively.

5 0
3 years ago
Y
Inga [223]

Answer:

1/2

Step-by-step explanation:

y = mx + b is slope intercept form.

b = y intercept. where the line first passes through on the y axis

that number is 3.

y = mx + 3.

to find M (slope) you have to do RISE / RUN.

Run is going left or right from a point

Rise is going up or down from a point.

To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.

From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.

So, the slope is 1/2.

4 0
3 years ago
Write the absolute value inequality in the form
yawa3891 [41]

Answer:

\large\boxed{|x+7|\geq2}

Step-by-step explanation:

Look at the picture.

|x-a|\geq b\\\\a=\dfrac{-9+(-5)}{2}=\dfrac{-14}{2}=-7\\\\b=-9-(-7)=-9+7=-2\\b=-5-(-7)=-5+7=2\\\\|x-(-7)|\geq2\\\\|x+7|\geq2\\\\Check:\\\\|x+7|\geq2\iff x+7\geq2\ \vee\ x+7\leq-2\qquad\text{subtract 7 from both sides}\\\\x+7-7\geq2-7\ \vee\ x+7-7\leq-2-7\\\\x\geq-5\ \vee\ x\leq-9\qquad CORRECT\ :)

4 0
4 years ago
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