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3 years ago

5

The given function k is a composition of two functions m and n so that k(x) = (m ∘ n)(x). k (x) = StartFraction 2 Over RootIndex

4 StartRoot 4 x minus 7 EndRoot EndFraction If n(x) = 4x – 7, m(x) must be equal to which expression?

1 answer:

kotykmax [81]3 years ago

6 0

Answer:

$\frac{2}{\sqrt[4]{x} }$

Step-by-step explanation:

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Choose the correct equation type for each system.

NemiM [27]

Consistent means 1 solution
inconsistent means no solutions....because they are parallel lines
equivalent means infinite solutions...because they are the same line

y = 3x - 2 3x - y = 4
-y = -3x + 4
y = 3x - 4

both equations have the same slope but different y intercepts....this means they are parallel lines and have no solutions ....INCONSISTENT
=======================
1/2y = -x + 5 2y = -4x + 20
y = -2x + 10 y = -2x + 10

same equation.....same line...infinite solutions...EQUIVALENT
===================
y = -x + 4 x = -y - 6
y = -x - 6

same slope, different y intercepts....parallel lines......no solutions...this means INCONSISTENT
==================
y = 4x + 2 y = 6x - 10
different slopes, different y intercepts...one solution...CONSISTENT
==================
y = 2x + 1 y = -2x + 3
different slopes, different y intercepts...one solution...CONSISTENT
=================
-2x + 5y = 0 y = 2/5x
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y = 2/5x
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8 0

3 years ago

You pick a card at random, put it back, and then pick another card at random. What is the probability of picking a number greate

xeze [42]

Answer:

1/9 both times

Step-by-step explanation:

5 0

3 years ago

The difference between 4,632 and 20,000 is what number?

ycow [4]

We find the difference of the two numbers by subtracting the two numbers given above. It is calculated as follows:

Difference = 20000 - 4632 = 15368

Therefore, the difference between <span>4,632 and 20,000 is 15368.

Hope this answers the question. Have a nice day.</span>

4 0

2 years ago

Read 2 more answers

During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the

mars1129 [50]

Answer:

Yes, it will reach or exceed 141 degree F

Step-by-step explanation:

Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

$T = 0.005x^2 + 0.45x + 125$

Suppose T = 141°F,

$\implies 141 = 0.005x^2 + 0.45x + 125$

$\implies 0.005x^2 + 0.45x + 125 - 141 =0$

$\implies 0.005x^2 + 0.45x - 16=0$

Since, a quadratic equation $ax^2 + bx + c =0$ has,

Real roots,

If Discriminant, $D = b^2 - 4ac \geq 0$

Imaginary roots,

If D < 0,

Since, $0.45^2 - 4\times 0.005\times -16 = 0.2025 + 32 > 0$

Thus, roots of -0.005x² + 0.45x + 125 are real.

Hence, the temperature can reach or exceed 141 degree F.

6 0

3 years ago

Given only the information in the diagram, determine if m is parallel to n. If so, name the postulate or theorem used to support

Advocard [28]

Answer:

<em><u>From my research on the internet, the image attached supports this problem. The two lines are parallel, as supported by the converse of corresponding angles postulate. It states that: If a transversal intersects two lines and the corresponding angles are congruent, then the lines are parallel.</u></em>

8 0

3 years ago