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madam [21]
3 years ago
13

( picture provided ) PLEASE HELP!!! ANSWER THE ONES YOU CHOOSE BUT CORRECT ANSWERS ONLY.

Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0
5. x^2+3x+15+40/x-3

6. x^2+4x+9+22/2x-3

7. yes it is a factor
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write the restrictions that should be imposed on the variable for each of the following function. then find, explicitly, the dom
matrenka [14]

By using the rules that the value inside square root can’t be negative and the denominator value can’t be zero, the domain for the given function is a) x<-1 and x>1  b) p≤1/2  c) s>-1.

I found the complete question on Chegg, here is the full question:

Write the restrictions that should be imposed on the variable for each of the following function. Then find, explicitly, the domain for each function and write it in the interval notation a) f(x)=(x-2)/(x-1)  b) g(p)=√(1-2p)  c) m(s)= (s^2+4s+4)/√(s+1)

Ans. We know that a number is not divisible by zero and number inside a square root can not be negative. In both the cases the outcome will be imaginary.

a) For this case the denominator x-1 can not be zero. So, x ≠1 and the domain is x<-1 and x>1.

b) For this case the value inside square root can’t be negative. So, p can’t be greater than 1/2 the domain is p≤1/2.

c) For this case also the value inside square root can’t be negative and the denominator value can’t be zero. So, s can’t equal or less than -1 and domain is s>-1.

Learn more about square root here:

brainly.com/question/3120622

#SPJ4

3 0
2 years ago
What is the length of AC?<br><br><br> 3 ft<br><br> 4 ft<br><br> 9 ft<br><br> 18 ft
iragen [17]

Answer: The length of AC is 18 ft.

Step-by-step explanation:

By the given diagram,

AM = MB and CN = NB

M and N are the mid points of the sides AB and CB respectively,

Thus, by the mid point theorem,

MN ║ AC,

By the alternative interior angle theorem,

∠BMN ≅ ∠BAC

∠BNM ≅ ∠BCA

Thus, by AA similarity postulate,

ΔBMN ≅ ΔBAC

By the property of similar triangles,

\frac{BM}{BA}=\frac{MN}{AC}

\frac{BM}{BM+MA}=\frac{MN}{AC}

\frac{4}{4+4}=\frac{9}{AC}

\frac{4}{8}=\frac{9}{AC}

4AC=72\implies AC = 18\text{ ft}

Thus, The length of AC is 18 ft.

5 0
3 years ago
Read 2 more answers
The sides of a rectangle measure 14 and 21. The perimeter of a similar rectangle is 40. What are the lengths of its Sides
Ipatiy [6.2K]

Answer:

  8 and 12

Step-by-step explanation:

The perimeter of the given rectangle is ...

  P = 2(L +W)

  P = 2(14 +21) = 2(35) = 70

The scale factor to the similar triangle is ...

  similar perimeter/original perimeter = 40/70 = 4/7

__

The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:

  (14)(4/7) = 8

  (21)(4/7) = 12

The sides of the similar triangle are 8 and 12.

3 0
3 years ago
Write an expression to represent the sum of three times the square of a number and -7.
xz_007 [3.2K]

Answer:

3x^2-7

-7 is the constant

3 is the coefficient

x is the variable

Step-by-step explanation:

(3x^2)+(-7)

4 0
3 years ago
Bill is in a class of 23 girls and 27 boys. 40% of the students in the class take the bus to school. How many students take the
Leona [35]

Answer: 20 students

Step-by-step explanation: 20 students who take the bus to school. Therefore thirty students do not take the bus to school.

5 0
3 years ago
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