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poizon [28]
2 years ago
10

Solve −x+5≤4 or 2x+3≥−1 and write the solution in interval notation.

Mathematics
1 answer:
serg [7]2 years ago
6 0

Answer:

Step-by-step explanation:

\left \{ {{-x+5\leq 4} \atop {2x+3\geq -1}} \right.   ⇒ x\geq 1\\2x\geq 4\\x\geq -2

or

x \geq -2\\(-2,+ { \infty} ) (Answer)

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Solve x2 + 8x + 22 = 0 by completing the square.
Liula [17]

Answer:

A)

Step-by-step explanation:

the solution of a squared equation is

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case

a = 1

b = 8

c = 22

x = (-8 ± sqrt(64 - 88))/2 = (-8 ± sqrt(-24))/2 =

= (-8 ± sqrt(4×-6))/2 = (-8 ± 2×sqrt(-6))/2 =

= -4 ± sqrt(-6) = -4 ± i×sqrt(6)

6 0
3 years ago
Evaluate (98 x 102) by using suitable identities.
GREYUIT [131]

Answer:

The answer is 9996

Step-by-step explanation:

Using the identity (x+a)(x+b) = x  ^2  +(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

Hence (100+2)(100−2) = 100  ^2  +[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

The answer is 9996

8 0
3 years ago
Read 2 more answers
What is the value of the function f(x) = 2x – 5 when x = 22? A17 B49 C105 D39
enyata [817]
<span>f(x) = 2x – 5

</span><span>f(22) = 2(22) – 5 = 44 -5 = 39

answer

</span><span>D39</span>
8 0
3 years ago
What is the area of triangle AED?
Ber [7]

Answer:

Then, the area of the right angle triangle AED is 84in^2.

Step-by-step explanation:

The triangle AED is a right angle triangle

And the area of a triangle is given as

Area=1/2base ×height

The base is 14in

And the height is 12in

Then,

Area=1/2base ×height

Area = 1/2 ×14 ×12

Area = 84in^2

Then, the area of the right angle triangle AED is 84in^2.

8 0
3 years ago
Read 2 more answers
A box of 3 picture hangers sells for $2.22. What is the unit rate
Anestetic [448]

Answer:

0.74 cents each unit piece

Step-by-step explanation:

2.22 ÷ 3 = 0.74

7 0
3 years ago
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