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larisa86 [58]
3 years ago
8

Simplify 7(B + 3) + 2B. 9B + 3 9B + 10 9B + 21

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
8 0
Expand

(7B + 21 + 2B)

Collect like terms

(7B + 2B) + 21

Simplify 

9B + 21

Answer: C) or the third option.
valkas [14]3 years ago
7 0
Remember, we can add like terms
also remember the commutative property of addition which is
you can move the order around when adding or a+b=b+a

also, distributive property which is a(b+c)=ab+ac

so

distribute first
7(B+3)=7(B)+7(3)=7B+21

now we have
7B+21+2B
by the commutative property
7B+2B+21
adding like terms
9B+21

answer is 9B+21
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3 (x + 1) - 5 = 3x - 2<br> has how many solutions?
marissa [1.9K]

Answer:

Zero Solutions

Step-by-step explanation:

3x+3-5=3x-2

3x-3x= -2+5

0= 3

0 does not equal 3, so zero solutions.

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zimovet [89]

Answer: Heyaa! ~

   10. 8√2

   11. 2h²√3

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Step-by-step explanation:

    <em>- Lets solve it together! </em>

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you!

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2 years ago
What is the equation of the line that passes through the point (-5,5)and has a slope of -1
erastova [34]

Answer:

<h2>           y = - x  </h2>

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -1

(-5, 5)    ⇒   x₀ = -5,  y₀ = 5

The point-slope form of the equation:

y - 5 = -1(x + 5)

So:

y - 5 = -x - 5         {add 5 to both sides}

y = -x             ←  the slope-intercept form of the equation

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6. Find the sum or difference.<br> 146<br> 155<br> a. +<br> 8<br> 8
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3 years ago
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
blondinia [14]

Answer:

Step-by-step explanation: For part 1, it makes sense that the form is y = m + c. So, it is a simply rearrangement of the equation to start with, in order to make  the subject. This is the graph in slope-intercept form. From here it is easy to see that gradient  = and the y-intercept = 490. The easiest way to draw a straight-line graph, such as this one, is to plot the y-intercept, in this case (0, 490), then plot another point either side of it at a fair distance (for example substitute  = -5 and  = 5 to procure two more sets of co-ordinates). These can be joined up with a straight line to form a section of the graph, which would otherwise extend infinitely either side - use the specified range in the question for x-values, and do not exceed it (clearly here the limit of -values is 0 ≤ x ≤ 735, since neither x nor y can be negative within the context of the question - the upper limit was found by substituting  = 0). In easy terms, the graph of this function represents how the value of the function varies as the value of x varies. Looking back at the question context, this graph specifically represents how many wraps could have been sold at each number of sandwich sales, in order to maintain the same profit of $1470. When the profit is higher, the gradient is not changed (this is defined by the relationship between the $2 and $3 prices, not the overall profit) - instead the -intercept is higher, therefore we have gleaned that the new y-intercept is 531. Clearly I cannot see the third straight line. However the method for finding the equation of a straight line graph is fairly simple:

1. Select two points on the line and write down their coordinates

2. The gradient of the line =

3. Find the change in  (Δ

4. Find the change in  (Δ

5. Divide the result of stage 3 by the result of stage 4

6. This is your gradient

7. Take one of your sets of coordinates, and arrange them in the form , where your  is the gradient you just calculated

8. There is only one variable left, which is  (the y-intercept). Simply solve for this

9. Now generalise the equation, in the form , by inputting your gradient and y-intercept whilst leaving the coordinates as  and

For example if the two points were (1, 9) and (4, 6):

Δ = 6 - 9 = -3

Δ = 4 - 1 = 3

=  = -1

I choose the point (4, 6)

6 = (-1 * 4) + c

6 = c - 4

c = 10

Therefore, generally,

Within the context of the question, I imagine the prices of the two lunch specials will be the same in the third month and hence the gradient will still be  - this means steps 1-6 can be omitted. Furthermore if the axes are clearly labelled, you may even be able to just read off the y-intercept and hence dispose with steps 1-8!

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