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3 years ago

Please help I need help

Mathematics

1 answer:

Andre45 [30]3 years ago

6 0

An inverse variation can be represented by the equation

$xy=k\to y=\dfrac{k}{x}$

We have

$\dfrac{y}{6}=x\qquad|\cdot6\\\\y=6x$

Answer: The relationship does not show an inverse variation.

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How do I solve 3/10+2.125 Converted into fractions

ahrayia [7]

Answer:

97/40

Step-by-step explanation:

so 2.125= 17/8

3/10+17/8 need to find common denominator so

times 8/8 to 3/10

times 10/10 to 17/8

24/80+170/80= 194/80 (common denominator so can add)

divide 194/80 because want reduce form

97/40 is the answer

(When i look at it now i can just time 4/4 and 5/5 but its ok this still gets the answer)

3 0

3 years ago

Need help ASAP Which number line correctly shows -3 - -1.5?

Alexandra [31]

Answer:

The top one I'm pretty sure.

3 0

3 years ago

Graph each piecewise function. Then Identify the properties.

Mazyrski [523]

Answer:

The domain is:

x: (-∞, 0] U (0, ∞)

The range is

y: [0, ∞)

Step-by-step explanation:

These types of functions are known as piecewise functions. It has two pieces of functions, you must graph both pieces for each interval.

First, graph:

y = -x for x from -∞ to x = 0

Note that y = -x is the equation of a negative slope line = -1 that passes through the origin

Second, graph:

y = x for x from x = 0 to ∞

Note that y = x is the equation of a positive slope line = 1 that passes through the origin.

The graph of this function is shown in the attached image. Note that it matches the absolute value graph of x.

y = | x |

In this function y it is always positive, and x can be any real number.

Therefore the domain is:

x: (-∞, 0] U (0,∞)

The range is:

y: [0, ∞)

4 0

3 years ago

M+2/3=1/4m-1 what the formula used to find the value of m?

zimovet [89]

Answer:

The value of m is $\frac{-5+\sqrt{34}}{6} \text { or } \frac{-5-\sqrt{34}}{6}$ by using quadratic formula

Solution:

Given, expression is $m+\frac{2}{3}=\frac{1}{4 m}-1$

Now, we have to solve the above given expression.

$\text { Now, } \mathrm{m}+\frac{2}{3}=\frac{1}{4 m}-1$

By multiplying the equation with m, we get

$\begin{array}{l}{m^{2}+\frac{2}{3} m+m=\frac{1}{4}} \\\\ {m^{2}+m\left(\frac{2}{3}+1\right)=\frac{1}{4}} \\\\ {m^{2}+\frac{5}{3} m=\frac{1}{4}}\end{array}$

$\begin{array}{l}{12 m^{2}+20 m=3} \\ {12 m^{2}+20 m-3=0}\end{array}$

Now, let us use quadratic formula

$\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in our problem, a = 12, b = 20, c = -3

$\begin{array}{l}{m=\frac{-20 \pm \sqrt{20^{2}-4 \times 12 \times(-3)}}{2 \times 12}} \\\\ {=\frac{-20 \pm \sqrt{400+144}}{24}} \\\\ {=\frac{-20 \pm \sqrt{544}}{24}} \\\\ {=\frac{-20 \pm 4 \sqrt{34}}{24}=\frac{-5 \pm \sqrt{34}}{6}} \\\\ {=\frac{-5+\sqrt{34}}{6} \text { or } \frac{-5-\sqrt{34}}{6}}\end{array}$

Hence the value of m is $\frac{-5+\sqrt{34}}{6} \text { or } \frac{-5-\sqrt{34}}{6}$ by using quadratic formula

7 0

3 years ago

Match the solution set given in inequality notation with the solution set given in interval notation.

sasho [114]

Answer:

x≤7.8 ⇒(-∞;7.8]

x<7.8 ⇒ (-∞;7.8)

x>7.8 ⇒ (7.8; ∞)

x≥7.8 ⇒ [7.8; ∞)

Step-by-step explanation:

Hi, to answer this question we have to analyze each expression:

• x≤7.8

The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets

(-∞;7.8]

• x<7.8

All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)

(-∞;7.8)

• x>7.8

All the numbers higher than 7.8, open interval (parenthesis)

(7.8; ∞)

• x≥7.8

All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)

[7.8; ∞)

4 0

3 years ago