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2 years ago

Find the inequality represented by the graph.

Mathematics

1 answer:

Natasha2012 [34]2 years ago

7 0

The inequality of the graph is expressed as: y > 1/2x + 2.

<h3>How to Find the Inequality of a Graph?</h3>

The graph given has a broken line and the shaded part is above the boundary line, therefore, we would use the sign, ">" in our inequality. The inequality would be expressed as y > mx + b.

Find the slope (m):

Slope (m) = rise/run = 1 units/2 units

m = 1/2

b = 2 (y-intercepts)

Substitute m = 1/2 and b = 2 into y > mx + b

y > 1/2x + 2.

Learn more about inequality on:

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Calculate dy/dxif y = 4x3 + 3x2 + 2.

Elena-2011 [213]

The answer is
A. 12x2 + 6x

solution
y = 4x3 + 3x2 + 2
y'(x) = 12x^2 + 6x

7 0

3 years ago

Five pennies, 3 dimes, and 4 quarters are placed in a bag. What is the probability of selecting a penny and then a dime, given t

VashaNatasha [74]

There are 12 coins in the bag. For the first case, the probability that a penny is selected from the bag is 5/12 because there are 5 pennies in the bag. Also, the next one is 3/11. Multiplying the probabilities,
(5/12)(3/11) = 8/121

5 0

3 years ago

Show all work to factor x4 − 10x2 + 9 completely.

leva [86]

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

x4-10x^2+9

Group expression so that the coefficients of the x^2 terms add up to +9.

= x^4 -9x^2 - x^2+9

match coefficients in both groups

= x^4 -9x^2 - (x^2-9)

factor each group

= x^2 (x^2-9) - 1(x^2-9)

now factor out the common factor (x^2-9)

= (x^2-1)(x^2-9)

Finally, factor each quadratic factor

= (x+1)(x-1)(x+3)(x-3)

6 0

3 years ago

Read 2 more answers

PRACTICE ANOTHER A normal distribution has a mean of 69 and a standard deviation of 15. What is the median

aliya0001 [1]

Answer:

Step-by-step explanation:

Here, we are interested in getting the median of the distribution

Mathematically, if we are talking about a moral distribution, we have equal values for median, mode and mean

Hence the median in this case will be 69

6 0

3 years ago

Suppose Wal-Mart stock is selling at $59 a share and Mattel stock is selling at $28 a share. Amy has a maximum of $6000 to inves

Ulleksa [173]

Answer:

88 shares of Wall-Mart stock,

a) Step-by-step explanation, 22 shares of Mattel stock. b) $192

Given:

Suppose Wall-Mart stock is selling at $59 a share and Mattel stock is selling at $28 a share.

Amy has a maximum of $6000 to invest.

She wishes to purchase four times as many shares of Wall-Mart as of Mattel.

Only whole shares of stock can be purchased.

Question asked:

a) How many shares of each will she purchase?

b) How much money will be left over?

Solution:

Selling price of each share of Wall-Mart stock = $59

Selling price of each share of Mattel stock = $28

Let number of shares of Mattel stock purchased = $x$

Then, number of shares of Wall-Mart stock = $4x$

Total money invested =$6000

Shares of Mattel stock $\times$ $28 + Shares of Wall-Mart stock $\times$ $59 = $6000

$28\times x+59\times4x=6000\\28x+236x=6000\\264x=6000$

Dividing both sides by 264

$x=22\frac{192}{264}$

That means, total 22 shares of Mattel stock is purchased and 192 is the money left over:-

Number of shares of Wall-Mart stock = $4x$ = $4\times22=88$

Total amount spent on Mattel stock shares = 22 $\times$ $28 = $616

Total amount spent on Wall-mart stock shares = 88 $\times$ $59 = $5192

Total amount spent on both shares = $616 + $5192 = $5808

Money left over = $6000 - $5808 = $192

a) He will purchase 88 shares of Wall-Mart stock and 22 shares of Mattel stock.

b) Money left over is $192.

6 0

4 years ago