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Finger [1]
1 year ago
15

1. the sum of five times a number and -2, added to seven times the number

Mathematics
1 answer:
emmasim [6.3K]1 year ago
7 0
1. (5x - 2) + 7x = 12x - 2

2. 6(x - 5) > 22
6x - 30 > 22
6x > 52
x > 52/6
x > 26/3
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For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo
slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

S=2(3)+5=11

Thus, when p=3 D=11 and, according to the problem  when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of  the demand linear equation . It can be computed through the formula

b=\frac{y2-y1}{x2-x1}.  equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

b=\frac{19-11}{1-3} =\frac{8}{-2}

b=-4

Now we can find the value of  intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

5 0
3 years ago
Write an equation of a line in slope-intercept form given the slope (m) and the y- intercept (b), slope, m= -4/7 y-intercept b =
Leno4ka [110]
The answer is y=-4/7x+7. You simply substitute in the given numbers. -4/7 for the slope (m) and 7 for the y-intercept (b). 
4 0
3 years ago
The painting shown on the right has an area of 300 in^2. what is the value of x?
Nataly [62]

Answer: X = 10.20240940...

Step-by-step explanation:

x(2x + 9) = 2x^2 + 9x

2x^2 + 9x = 300

- 300 ON BOTH SIDES

2x^2 + 9x - 300 = 0

SOLVE USING THE QUADRATIC FORMULA

x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)

When all the values are plugged in:

When using "+" in the equation you should get:

x = 10.20240940…

When using "-" in the equation you should get:

x = −14.70240940…

Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...

YOUR ANSWER IS:    x   =  10.20240940...

4 0
2 years ago
Miguel bought a table on sale for $266. This price was 65% less than the original price.
Firdavs [7]

p - 0.27p = $ 219

0.73p = $ 219

p = $ 219 / 0.73

p = $ 300. i don't know if this is fully right tho
8 0
3 years ago
Read 2 more answers
HELP
Semmy [17]

The second and third functions both decrease with a slope of -4, but the second fiction has a y intercept of -3 and the third has a y intercept of +3. The first and fourth functions are both increasing with a slope of positive 4. The first one has a y intercept of -3, but the fourth has a y- intercept of -3. all of the functions are linear.

it helps to write all as equations

8 0
3 years ago
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