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timama [110]
4 years ago
6

What is the slope of the line? (2,3) (4,2)

Mathematics
1 answer:
Rainbow [258]4 years ago
7 0
Formula for slope: \frac{y2-y1}{x2-x1}
Plug in: \frac{2-3}{4-2} 
= - \frac{1}{2}
Slope: - \frac{1}{2}
Answer: B
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The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the
julia-pushkina [17]

Answer:

A

Step-by-step explanation:

The profit for selling <em>x</em> pairs of shoes is given by:

P(x)=-4x^2+32x-39

And we want to determine the number of pairs that needs to be sold in order to maximize profit.

Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex point. The <em>x-</em>coordinate of the vertex of a quadratic is given by:

\displaystyle x=-\frac{b}{2a}

In this case, <em>a</em> = -4, <em>b</em> = 32, and <em>c</em> = -39. Substitute and evaluate:

\displaystyle x=-\frac{(32)}{2(-4)}=\frac{32}{8}=4

So, in order to maximize profit, only four pairs of sohoes should be sold.

Our answer is A.

5 0
3 years ago
Another math question:'(​
Mazyrski [523]

$180

Step-by-step explanation:

<em>Just calculate the perimeter.</em><em>.</em><em>.</em>

4 yards = 12 feet

<em>And add everything up-</em>

18+10+(18-10)+12+12

=60 feet

60 x 3 =<u>180</u>

<em>There you go</em>

3 0
2 years ago
Read 2 more answers
6th grade math :) help me please !
erma4kov [3.2K]

Answer:

a1- 2 terms

a2- 6x, 9y

a3- 6,9

b1-2 terms

b2- 7x, 12x

b3- 7,12

c1- 3 terms

c2- 5x^2, 2y, 3

c3- 5,2,3

Step-by-step explanation:

6 0
4 years ago
Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How
jekas [21]

Answer: £14378

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = £11000

n = 1 because it was compounded once in a year.

For the first 3 years,

r = 3.9% = 3.9/100 = 0.039

Therefore,

A = 11000(1+0.039/1)^1 × 3

A = 11000(1.039)^3

A = $12338

The new principal is 12338

For the next 4 years,

A = 12338(1.039)^4

A = 14378

4 0
3 years ago
What is this plz answer
Anna11 [10]

25.2 \div 4 = 6.3
5.69 \div 7 = 0.813
22.5 \div 15 = 1.5
6 0
3 years ago
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