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____ [38]
4 years ago
10

Show that if y=x^2 + 8x - 3 then y> -19 for all values of x

Mathematics
2 answers:
Alex777 [14]4 years ago
8 0
X^2+8x-3>-19        l+19
x^2+8x+16<0

x^2+4x+4x+16<0
x(x+4)+4(x+4)>0
(x+4)(x+4)^2>0
please my answer!!!!
algol134 years ago
4 0
X^2+8x-3>-19     | +19
x^2+8x+16>0 

x^2+4x+4x+16>0
x(x+4)+4(x+4)>0
(x+4)(x+4)^2>0
 this is true cause (X+4)^2 >0  cause X+4>0
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Help me please i so need help
elena55 [62]

Answer:

9

It is 9 because 9 is the only number that multiplied by itself is 81.

5 0
3 years ago
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lena has $150 saved for a car. she gets a job to save even more money. She earns $532 for four weeks' worth of work. How much wi
son4ous [18]

Answer: Lena saved up $3,475 in 25 weeks


Step-by-step explanation:

150 + 532 = 682

682/4 = 133

133 x 21 = 2,793

2,793 + 682 = 3,475

Hope this helps :)



8 0
4 years ago
Find the nth term of each of the sequences.<br> (a) 16, 19, 22, 25, 28, ...<br> (b) 1,3,9,27,81,...
juin [17]

Answer:

a) 16, 19, 22, 25, 28, 31, 34, 37, 40

b) 1, 3, 9, 27, 81, 243, 729, 2187

<h3>Explanation:</h3>

a) Add 3 on every number.

b) Multiply every number by 3.

6 0
3 years ago
You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $3.19 a p
SSSSS [86.1K]

Answer:

Yes, it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you $0.89.


Step-by-step explanation:

1.) Neighborhood store

It is 2.4 miles away

The car averages about 25 miles per gallon, then you would need:

2.4 miles / (25 miles/gallon) = 0.096 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.096 gallons * ($3.89/gallon) = $0.37344 = $0.37

The chicken is sold for $3.49 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.49/pound) = $20.94

In total you would need:

$0.37 (gas) + $20.94 (chiken) = $21.31 if you buy the chicken in the neiborhood store

2.) Store acroos town

It is 8.2 miles away

The car averages about 25 miles per gallon, then you would need:

8.2 miles / (25 miles/gallon) = 0.328 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.328 gallons * ($3.89/gallon) = $1.27592 = $1.28

The chicken is sold for $3.19 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.19/pound) = $19.14

In total you would need:

$1.28 (gas) + $19.14 (chiken) = $20.42 if you buy the chicken in the store across town


$20.42 < $21.31, then it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you: $21.31-$20.42=$0.89


8 0
3 years ago
If a=7 and b=2 what is 2a+3b ?
Monica [59]

Answer:

20

Step-by-step explanation:

You basically just plug in the numbers given for the variables and solve.

2(7)+3(2) = 14+6= 20

5 0
3 years ago
Read 2 more answers
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