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siniylev [52]
3 years ago
6

True or false? A theorem is a statement that can be easily proved using a

Mathematics
1 answer:
dedylja [7]3 years ago
6 0
???why did you say the question and then answer it
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Four time a number r plus half a number s equals 12. Twice the number r plus one fourth of the numbers s equals 8. What are the
Snezhnost [94]

The system of equations have no solution.

Explanation:

The equations are 4r+\frac{1}{2}s=12 and 2r+\frac{1}{4} s=8

To find the two numbers, let us solve the equations using substitution method.

From the equation 2r+\frac{1}{4} s=8, let us determine the value of r,

$\begin{aligned} 2 r+\frac{1}{4} s &=8 \\ 2 r &=8-\frac{1}{4} s \\ r &=\frac{1}{2}\left(8-\frac{1}{4} s\right) \\ r &=4-\frac{1}{8} s \end{aligned}$

Let us substitute the value of r in 4r+\frac{1}{2}s=12, we get,

$\begin{aligned} 4\left(4-\frac{1}{8} s\right)+\frac{1}{2} s &=12 \\ 16-\frac{1}{2} s+\frac{1}{2} s &=12 \\ 16 &=12 \end{aligned}$

which is not possible.

This means that the system has no solution.

6 0
3 years ago
H(x)= 9/x( x^2-49)<br> Determine the domain of the function
Norma-Jean [14]

Answer: The domain of the function h(x) = \frac{9}{x(x^2-49)} is:

Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)

Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }

All real numbers besides 0, 7, and -7.

Step-by-step explanation:

In order to find the domain of your rational function, we need to simplify it:

h(x) = \frac{9}{x(x^2-49)} = \frac{9}{(x)(x+7)(x-7)}

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.

To find the domain, we equal the equations in the denominator to zero.

x=0

x+7=0 --> x=-7

x-7=0 --> x=7

So all real numbers except for 0, -7, and 7 are in the domain of this rational function.

8 0
3 years ago
Can someone please help me with this? Mhanifa? I will mark brainliest
den301095 [7]

Answer:

Option C 20

GOOD LUCK FOR THE FUTURE! :)

8 0
2 years ago
I need help! Really bad a math.​
ankoles [38]

\\ \sf\longmapsto h(-18)

\\ \sf\longmapsto 15+\dfrac{-18}{6}

\\ \sf\longmapsto 15+(-3)

\\ \sf\longmapsto 15-3

\\ \sf\longmapsto 12

5 0
3 years ago
Read 2 more answers
Mr. Tate is ordering books for his class. Each book costs $10.95. If he orders more than $300 worth of
Margarita [4]

Answer:

thats hard

Step-by-step explanation:

4 0
3 years ago
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