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Luba_88 [7]
3 years ago
7

Helppp finals are tomorrow

Mathematics
1 answer:
ss7ja [257]3 years ago
7 0

Answer:

Step-by-step explanation:

y = -5x

When x = -2 ; y = -5* (-2) = 10   ;  (-2 , 10)

When x = -1   ;   y = -5 *(-1) = 5   ;    (-1 , 5)

When x = 0  ,     y = 0               ;     (0 , 0)

When  x = 1  ;     y = -5 *1 = -5    ;     (1 , -5)

When x = 2 ;     y = -5 *2 = -10   ;     (2 , -10)

Mark these points (-2 , 10) ,  (-1 , 5) , (0 , 0) , (1 , -5) , (2 , -10) and join them.

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Find the area when the circumference is 50.24 cm
nevsk [136]

Answer:

201

Step-by-step explanation:

C = 2pi.R

50.24/2pi = R

R= 8

area = pi R² = pi x 8² = 201

7 0
2 years ago
What is the multiplicative inverse of -1/5?​
luda_lava [24]

Answer:

-5/1

Step-by-step explanation:

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3 years ago
Read 2 more answers
. identify the binomial<br> a. x2<br> b. x2 - 4x 2<br> c. x2 - 4<br> d. 2x2 3x - 1 y
tino4ka555 [31]

Answer: x^2 - 4

Step-by-step explanation:

Since a Binomial is an algebraic expression of the sum or the difference of two terms.

Therefore, For a binomial an expression must contain exactly two terms.

In a) x^2 there is only one term therefore it is not the Binomial.

In a) x^2-4x^2 = -3x^2,  there is only one term therefore it is not the Binomial.

In a) x^2-4 there is exactly two terms therefore it is a Binomial.

In a) 2x^2+3x-1y there are three terms therefore it is not the Binomial.

6 0
3 years ago
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List at least five importance of having self discipline m following protocol during enhanced community quarantine in your respec
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2 years ago
Giving 100 points.
Nitella [24]

Answer:

1.   <u>Cost per customer</u>:  10 + x

     <u>Average number of customers</u>:  16 - 2x

\textsf{2.} \quad  -2x^2-4x+160\geq 130

3.    $10, $11, $12 and $13

Step-by-step explanation:

<u>Given information</u>:

  • $10 = cost of buffet per customer
  • 16 customers choose the buffet per hour
  • Every $1 increase in the cost of the buffet = loss of 2 customers per hour
  • $130 = minimum revenue needed per hour

Let x = the number of $1 increases in the cost of the buffet

<u>Part 1</u>

<u></u>

<u>Cost per customer</u>:  10 + x

<u>Average number of customers</u>:  16 - 2x

<u>Part 2</u>

The cost per customer multiplied by the number of customers needs to be <u>at least</u> $130.  Therefore, we can use the expressions found in part 1 to write the <u>inequality</u>:

(10 + x)(16 - 2x)\geq  130

\implies 160-20x+16x-2x^2\geq 130

\implies -2x^2-4x+160\geq 130

<u>Part 3</u>

To determine the possible buffet prices that Noah could charge and still maintain the restaurant owner's revenue requirements, solve the inequality:

\implies -2x^2-4x+160\geq 130

\implies -2x^2-4x+30\geq 0

\implies -2(x^2+2x-15)\geq 0

\implies x^2+2x-15\leq  0

\implies (x-3)(x+5)\leq  0

Find the roots by equating to zero:

\implies (x-3)(x+5)=0

x-3=0 \implies x=3

x+5=0 \implies x=-5

Therefore, the roots are x = 3 and x = -5.

<u>Test the roots</u> by choosing a value between the roots and substituting it into the original inequality:

\textsf{At }x=2: \quad -2(2)^2-4(2)+160=144

As 144 ≥ 130, the <u>solution</u> to the inequality is <u>between the roots</u>:  

-5 ≤ x ≤ 3

To find the range of possible buffet prices Noah could charge and still maintain a minimum revenue of $130, substitute x = 0 and x = 3 into the expression for "cost per customer.  

[Please note that we cannot use the negative values of the possible values of x since the question only tells us information about the change in average customers per hour considering an <em>increase </em>in cost.  It does not confirm that if the cost is reduced (less than $10) the number of customers <em>increases </em>per hour.]

<u>Cost per customer</u>:  

x =0 \implies 10 + 0=\$10

x=3 \implies 10+3=\$13

Therefore, the possible buffet prices Noah could charge are:

$10, $11, $12 and $13.

8 0
2 years ago
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