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2 years ago

Find the domain of the following expression 15 - √(x+2)

Mathematics

1 answer:

ipn [44]2 years ago

6 0

Answer:

[-2, ∞]

Step-by-step explanation:

15 - √(x+2)

domain is any value as long as (x+2) is not-negative, since √ of a negative number has no Real solution.

x+2 ≥ 0 ⇒ x ≥ -2

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PLEASE HELP ME WITH THIS QUESTION ILL GIVE BRAINLIEST IF I CAN

Burka [1]

D (Hope this helped!!!!)

5 0

2 years ago

Factorise 4a^2+b^2-4ab-8a+4b+4

Dima020 [189]

Answer:

The factorized form of the given expression is $4 [(a-1)^2 - b(a - 1 + \frac{b}{4})]$

Step-by-step explanation:

Given;

4a² + b² - 4ab - 8a + 4b + 4

This expression is factorized as follows;

(4a² - 8a + 4) + (b² - 4ab + 4b)

(4a² - 4a - 4a + 4) + b² - 4b(a - 1)

(4a - 4)(a - 1) + b² - 4b(a - 1)

(4a - 4)(a - 1) - 4b(a - 1) + b²

4(a - 1)(a - 1) - 4b(a - 1) + b²

4(a - 1)² - 4b(a - 1 + b/4)

$4(a- 1)^2 - 4b(a - 1 + \frac{b}{4} )\\\\4 [(a-1)^2 - b(a - 1 + \frac{b}{4})]$

6 0

3 years ago

Can somebody please help me with this math question please

kondaur [170]

Answer:

Step-by-step explanation:

isosceles triangles are ones that have two equal sides and angles. this would mean that ab is equal to bc. then you substitute the values in for AB=BC, 3x-4=5x-10. you bring the variables to one side and you flip everything which is then 2x=6 and then divide by 2. this would be x=3. then you have to figure out the AB. 3(3)-4=5. then you can always check for BC, 5(3)-10=5. and they are equal! hope i helped!

4 0

2 years ago

All human blood can be "ABO-typed" as O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Her

Tanya [424]

Answer:

a. Pr(They both have type O)

= Pr(They both have type O)

= 0.35 x 0.45

= 0.1575 = 15.75%

b. Pr( they both have the same blood type)

= Pr( they both have the same blood type)

= 2/8

= 0.25 = 25%

c. Pr( at least one person has type O)

= Pr (at least one person has type O)

= 1 - 0.3575

= 0.6425 = 64.25%

Step-by-step explanation:

a) Data:

O A B AB

Chinese 0.35 0.27 0.26 0.12

American 0.45 0.4 0.11 0.04

b) Calculations:

i. Pr(They both have type O)

= Probability of Chinese with O multiplied by Probability of American with O

= 0.35 * 0.45

= 0.1575 = 15.75%

ii. Pr( they both have the same blood type)

= Probability of two out of 8 outcomes

= 2/8

= 0.25 = 25%

iii. Pr( at least one person has type O)

= Probability of (1 – p(none) )

The probability of none = p(none O blood type)

= p(none)

for Chinese = (0.27 + 0.26 + 0.12) * for American ( 0.4 + 0.11 + 0.04)

= 0.65 * 0.55 = 0.3575

Pr (at least one person has type O) = 1 - 0.3575

= 0.6425

4 0

3 years ago

b. Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box.

Ainat [17]

First box = 14 pounds

Second box = 2x = 28 pounds

Third Box = x+2= 16 pounds

Fourth box = x/2 = 7 pounds

<u>Step-by-step explanation:</u>

Here we have , Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box. The third box contained two more pounds than the first box. The last box contained one-fourth the amount in the second box. We need to find How much candy was in each box. Let's find out:

We have a total of 65 pounds of candy ! Let in first box we have x pounds so , second box contained twice the amount of the first box i.e.

⇒ $2x$