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Nezavi [6.7K]
3 years ago
13

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Answer:

9

Step-by-step explanation:

This means that 9/(9+72)=(3x-20)/(3x+36), or 1/9=(3x-20)/(3x+36). Cross-multiply to get that 27x-180=3x+36, so 24x=216, and x=9.

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State the domain restriction(s) in interval notation of \displaystyle f\left(g\left(x\right)\right)f(g(x)) given: \displaystyle
DENIUS [597]

Answer:

The interval notation for the domain is [\frac{23}{3},\infty  ].

Step-by-step explanation:

Consider the provided information.

It is given that \:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7

We need to find the value of f\left(g\left(x\right)\right).

Put the value of g(x) in  f\left(g\left(x\right)\right).

f\left(g\left(x\right)\right)=f(x-7)  ....(1)

Now, put x=x-7 in \:f\left(x\right)=\sqrt{3x-2}

\:f\left(x-7\right)= \sqrt{3(x-7)-2}

\:f\left(x-7\right)= \sqrt{3x-21-2}

\:f\left(x-7\right)= \sqrt{3x-23}

From equation 1.

f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}

The domain of the function is the set of input values for which a function is defined.

Here, the value of 3x-23 should be greater or equal to 0 as the square root of a negative number is not real.

Domain= 3x-23\geq0

x\geq\frac{23}{3}

The value of x is all real number greater than \frac{23}{3}.

Hence, the interval notation for the domain is [\frac{23}{3},\infty  ].

7 0
3 years ago
I honestly don't know how I got these answers and I have a test over it coming soon. Please explain how to find the measure of t
Tju [1.3M]
Okay so a couple of things to know to best solve this problem
1) all angles in a triangle add to 180
2) a straight line the angles above it equal 180 and the angles below it add to 180
3) vertical angles are equal (vertical angles are angles that make an X the opposite angles are called vertical angles)
5 0
4 years ago
Read 2 more answers
NEED HELP! WILL MARK BRAINLIEST
ICE Princess25 [194]

Answer:

im pretty sure its 27.

Step-by-step explanation:

if g(x) = 20 then the new problem is 20=x-7

20=x-7 . add 7 to both sides

+7=+7 . +7 cancels out the -7

27=x . <<<answer

6 0
3 years ago
PLZ HELP ME ILL GIVE YOU BRAINLIESST
tatyana61 [14]

Answer:

200

Step-by-step explanation:

multiply length height and width

5 0
3 years ago
Read 2 more answers
HELP you purchase a car using a $22,000 loan with a 6% simple interest rate for 5 years
Hunter-Best [27]

Answer:  (a) $6,600

                (b) $28,600

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

Interest (I) = Principal (P) x rate (r) x time (t)

I = 22,000(0.06)(5)

 = 6,600


Accrued (A) = Principal (P) + Interest (I)

A = 22,000 + 6,600

  = 28,600

7 0
4 years ago
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