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maria [59]
4 years ago
7

Find the domain of the function:

ormula1" title="h(x) = \frac{6}{x^{2}-4x}" alt="h(x) = \frac{6}{x^{2}-4x}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
ivolga24 [154]4 years ago
8 0

Answer:All real numbers except for 0 and 4.

Step-by-step explanation:

The denominator cant be zero so we take it and equal it to zero. For the denominator to equal to zero, either x = 0 or x=4 yields 0.

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What is the solution to log Subscript 3 Baseline (x + 12) = log Subscript 3 Baseline (5 x)
Charra [1.4K]

Answer:

x = 3

Step-by-step explanation:

brainly.com/question/14265179?utm_source=

log3(x + 12)=log3(5x)

since the bases are the same

since they both have log3

log3 cancels out

(x + 12)=(5x)

x + 12=5x

12 = 4x

3 = x

5 0
2 years ago
Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are
IgorC [24]

The coordinates of point B' are (-3, 6).

<h2>Given that</h2>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

<h3>We have to determine</h3>

What are the coordinates of B' after the translation?

<h3>According to the question</h3>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

\rm B(0, \ 5) = B (0-3, \ 5+1) = B(-3, \ 6)

Therefore, the coordinates of point B' are (-3, 6).

To know more about Transformation click the link given below.

brainly.com/question/26252571

4 0
2 years ago
Read 2 more answers
Which expression is equivalent to 15+80
GarryVolchara [31]
90+5 is a equivalent expression
5 0
3 years ago
Which equation is the inverse of y=100-x2
Harman [31]

Answer:

Inverse of y = f^{-1}(x) = \sqrt{100 -x}.

Step-by-step explanation:

Given  : f(x) = y = 100 - x²

To find : Find inverse.

Solution : We have given that :

f(x) = y = 100 - x²

Step1) : Replace every x with a y and replace every y with an x .

x = 100 - y².

Step 2): Solve for y

On subtracting 100 from both sides

x - 100 = -y²

On multiplying both side by -1

100 -x = y²

Taking square root both sides and switching sides

y = ± \sqrt{100-x}.

Step3 ) : Replace y with f^{-1}(x).

f^{-1}(x) = ± \sqrt{100-x}.

Therefore, inverse of y = f^{-1}(x) = ± \sqrt{100-x}.

3 0
4 years ago
Find the 20th term of an arithmetic sequence with a first term of 3 and a common difference of 5
musickatia [10]
So just keep subtracting 5 from three or do  5 times 20 - 3. that equals - 97
4 0
3 years ago
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