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enot [183]
3 years ago
6

The expression 2x² + ax is equivalent to x (2x + 7) for some constant a. What is the value of a ?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0
2x^2 + ax = x(2x+ 7)
2x^2 + ax = 2x^2 + 7x
Subtract 2x^2 from both sides
ax = 7x
a = 7
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Arati posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the p
zvonat [6]

If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.

The multiplier for increasing by 25% is:

(100 + 25) ÷ 100 = 1.25

So on day one, there are 64 responses. That means on day two, there will be:

---> 64 x 1.25 = 80 responses

On day 3, there will be:

---> 80 x 1.25 = 100 responses

Finally, on <u>day 4</u>, there will be:

---> 100 x 1.25 = 125 responses

A quicker way of getting this would be to do:

64 x 1.25³      since you are multiplying by 1.25  3 times

--------------------------------------------------

Answer:

125 responses

5 0
3 years ago
The scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft
NNADVOKAT [17]

Answer:

17 in

Step-by-step explanation:

.5 in : 6 ft

204/6 x .5 = 17

8 0
3 years ago
13 gallons of water are used to completely fill 3 fish tanks. If each tank holds the same amount of water, how many gallons will
Pepsi [2]

Answer:

4 1/3

Step-by-step explanation:

12/3=4

1/3+4=4 1/3

7 0
3 years ago
What is the slope of the line that passes through the points (6, 2) and (4, 10)?
drek231 [11]

Answer:

-4

Step-by-step explanation:

Slope = y2 - y1/x2 - x1

Given

x1 = 6

y1 = 2

x2 = 4

y2 = 10

Therefore

Slope = 10 - 2/4 - 6

= 8/-2

= -4

5 0
3 years ago
Read 2 more answers
How many 1 1/2 -liter bottles of water does it take to fill a 16-liter jug?
egoroff_w [7]
I would say 10 and 1/3 of the 1 1/2 liter bottles
8 0
3 years ago
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