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Sonja [21]
3 years ago
11

Two integers have a sum of -44 and a difference of 22. The greater of the two integers is

Mathematics
1 answer:
Leni [432]3 years ago
5 0

Answer:

  -11

Step-by-step explanation:

The generic solution to ...

  • a + b = sum
  • a - b = difference

Can be found by adding the two equations:

  (a+b) + (a-b) = (sum) + (difference)

  2a = (sum + difference)

  a = (sum + difference)/2

___

Our particular solution is ...

  a = (-44 +22)/2 = -11

The greater of the two numbers is -11.

___

The other number is -33.

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hoa [83]

Answer:

\frac{dy}{dx}  =  \frac{13}{8}

Step-by-step explanation:

y = 2x + 6 {x}^{ -  \frac{1}{2} }  \\  \frac{dy}{dx} = 2 + 6( -  \frac{1}{2}) {x}^{ -  \frac{1}{2} - 1 }   \\  \frac{dy}{dx}  = 2 - 3 {x}^{ -  \frac{3}{2} }  \\ \frac{dy}{dx}  = 2 -  \frac{3}{ \sqrt{ {x}^{3} } }

When x = 4,

\frac{dy}{dx}  = 2 -  \frac{3}{ \sqrt{ {4}^{3} } }  \\  =  \frac{13}{8}

3 0
2 years ago
Read 2 more answers
Please hurry in need for help!!
d1i1m1o1n [39]

5 × x = 1/4        x = 1/4 ÷ 5        x = 1/20

7 0
2 years ago
Find s(2t - 4) for s(t) = 3t - 7 <br> A)6t - 19 B) 6t - 18 C) 5t - 11 D) 5t - 19
asambeis [7]
Hello,

Answer A

s(x)=3x-7
s(2t-4)=3*(2t-4)-7=6t-12-7=6t-19
3 0
3 years ago
Write the first six terms of the sequence.
butalik [34]

Step-by-step explanation:

1st term = -n²+6

= -(1)²+6

= -1+6

=5

2nd term = -(2)²+6

= -4+6 = 2

3rd term= -(3)²+6

=-9+6 = -3

4th term= -(4)²+6

= -16+6 = -10

5th term = -(5)²+6 = -25+6 = -19

6th term = -(6)²+6 = -36+6 = -30

5,2, -3,-10,-19, -30

optionB

6 0
3 years ago
Noah's Café sells special blends of coffee mixtures. Noah wants to create a 20-pound mixture with coffee that sells for $9.20 pe
Mashutka [201]

Answer:

Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds

Step-by-step explanation:

Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.

From the question, we know he wants to make 20 pounds of coffee

Thus;

x + y = 20 •••••••••••(i)

Let’s now work with the values

For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x

For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y

The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6

Thus by adding the two costs together we have a total of $139.6

So we have our second equation;

9.2x + 5.5y = 139.6 •••••••(ii)

From i, y = 20 - x

Let’s substitute this in ii

9.2x + 5.5(20-x) = 139.6

9.2x + 110 -5.5x = 139.6

9.2x -5.5x = 139.6-110

3.7x = 29.6

x = 29.6/3.7

x = 8 pounds

Recall;

y = 20 - x

y = 20-8

y = 12 pounds

7 0
3 years ago
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