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3 years ago

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:

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This means that the total percent change is 25%.

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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

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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.

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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

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3 years ago

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nata0808 [166]

Answer:

a) G

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Step-by-step explanation:

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