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HACTEHA [7]
3 years ago
7

What is the simplified form of 3 over 4x plus 3 + 21 over 8 x squared plus 26x plus 15 ?

Mathematics
2 answers:
Sladkaya [172]3 years ago
6 0

3 over 4x plus 3 + 21 over 8 x squared plus 26x plus 15\frac{3}{4x+3} +\frac{21}{8x^2 +26x+15}

factor the quadratic expression

⇒\frac{3}{4x+3} +\frac{21}{8x^2 +20x+6x+15}= \frac{3}{4x+3} +\frac{21}{4x(2x+5)+3(2x+5)}

=\frac{3}{4x+3} +\frac{21}{(2x+5)(4x+3)}

Find LCD , and make the denominators same by multiplying first expression by (2x+5) both in numerator and denominator

=\frac{3(2x+5)}{(4x+3)(2x+5)} +\frac{21}{(2x+5)(4x+3)}

Simplify

=\frac{3(2x+5) +21}{(4x+3)(2x+5)}

=\frac{6x+15 +21}{(4x+3)(2x+5)}

=\frac{6x+36}{(4x+3)(2x+5)}

Factor the numerator

=\frac{6(x+6)}{(4x+3)(2x+5)}

Option D

nekit [7.7K]3 years ago
4 0

Answer:

-4x + 14

Step-by-step explanation:

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What is the percent of change for $15.60 to $11.70
mixas84 [53]
When we talk about percent change, we first need to know the difference between the two numbers. Let's find that:

15.60-11.70=3.90

The difference is $3.90. So to find the percent change, we need to take the difference, and divide it by the original amount. In this case, the original amount is $15.60:

\frac{3.90}{15.60} =0.25

This number, 0.25, is in decimal form. However, we know that in order to get this to percentage, we need to multiply by 100:

0.25*100=25

This means that the total percent change is 25%.
4 0
3 years ago
Select all ordered pairs that satisfy the function y = 4x + 3
qwelly [4]

Answer:

see explanation

Step-by-step explanation:

To determine which ordered pairs satisfy the equation substitute the x coordinate of the point into the right side and if the value obtained equals the y coordinate of the point then it satisfies the equation

(- 1, - 1)

x = - 1 : y = - 4 + 3 = - 1 ⇒ (- 1, - 1) satisfies the equation

(2, 11)

x = 2 : y = 8 + 3 = 11 ⇒ (2, 11) satisfies the equation

(4, 7)

x = 4 : y = 16 + 3 = 19 ≠ 7 ⇒ (4, 7) does not satisfy the equation

(7, 1)

x = 7 : y = 28 + 3 = 31 ≠ 1 ⇒ (7, 1) does not satisfy the equation

4 0
3 years ago
Find the sum of first 100 even numbers.​
alexdok [17]

Answer:

10100

Step-by-step explanation:

the sum of the first 100 even integers is equal to 10100.

7 0
2 years ago
Read 2 more answers
he diameter of an ice skating rink is 44 feet. In terms of π, what is the area of the rink to the nearest square yard? (9 ft2 =
crimeas [40]

Answer:

The area of the circular ring is 53.73 π  sq. yards

Step-by-step explanation:

The diameter of the skating ring = 44 ft

Diameter =  2 x Radius

⇒Radius of the ring  = 44 / 2  = 22 ft

Now, 1 ft = 0.333333 yards

⇒22 ft  = 22 x 0.333333 yards = 7.3333 yards

Now, Area of the circular Ring = \pi r^2\\

or, A = \pi (7.33)^2

=  53.73 π  sq. yards

or, the area of the circular ring is 53.73 π  sq. yards

6 0
3 years ago
Help me quickkkkkkk!!!!!!!!
nata0808 [166]

Answer:

a) G    

b) C

Step-by-step explanation:

3 0
3 years ago
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