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2 years ago

WHat is the sum of the rational expressions below 3x+1/2x+7x/x+5

Mathematics

1 answer:

Harlamova29_29 [7]2 years ago

5 0

3x+1/2x+7x/x+5=
Answer is 17x^2+16x+5/2x^2+10x
Workup in photo below

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A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 3

Cloud [144]

Answer:

x=7, so the smaller number is 7 and the larger number is 21.

Step-by-step explanation:

x=3x+5=33

Let x=3:

(3)+3(3)+5=3+9+5=17, not 33, so x is not 3

Let x=5:

(5)+3(5)+5=5+15+5=25, not 33, so x is not 5

Let x=7:

(7)+3(7)+5=7+21+5=33, so x=7

Let x=9:

(9)+3(9)+5=9+27+5=41, not 33, so x is not 9

Therefore x=7. Because x represents the smaller number, and the larger number is 3 times the smaller number, the smaller number is 7 and the larger number is 3(7)=21.

6 0

2 years ago

Read 2 more answers

In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>

Lemur [1.5K]

In both cases,

$AB^2=AD^2$

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

$(4x+7)^2=(6x-3)^2$

$16x^2+56x+49=36x^2-36x+9$

$20x^2-92x-40=0$

$5x^2-23x-10=0$

$(5x+2)(x-5)=0\implies\boxed{x=5}$

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

$(4x^2-18x-10)^2=(x^2+x+4)^2$

$16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16$

$15x^4-146x^3+235x^2+352x+84=0$

$(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}$

(again, omit the solutions that would give a negative length for either AB or AD)

7 0

3 years ago

The loudness of a jackhammer is a 96 dB. It sounds intense is about _____ . The Loudness of a compactor is 94 dB. It's sound int

aleksandr82 [10.1K]

Answer:

loudness of a jack hammer .004 loudness of a compactor .0025

Step-by-step explanation:

Because edge

8 0

2 years ago

If 6 cups of cheese serves 30 people how cups of cheese serve 50

bezimeni [28]

6 cups of cheese servings times 5 = 30
10 cups of cheese servings time 5 = 50
So , it's 10 cups of cheese servings.

4 0

2 years ago

Read 2 more answers

SOLVE BY GRAPHING

natka813 [3]

Answer:

x=2 and y=3.

Step-by-step explanation:

Let the one number be x and the other number be y.

ATQ, 2x=1+y and x+y=5. x=2 and y=3.

8 0

3 years ago