Find 2 equivalent fractions for each of the following:

Please help!

Ivenika [448]

<u>SOLUTION TO QUESTION 1</u>

For $v-6\ge4$

We add $6$ to both sides of the inequality. This gives us

$v-6+6\ge4+6$

We simplify to obtain;

$v+0\ge10$

Hence,

$v\ge 10$

See the attachment for graph.

<u>SOLUTION TO QUESTION 2</u>

For the inequality $-5x$

We divide both sides by $-5$ and reverse the inequality sign because, we are dividing by a negative number. This implies that;

$\frac{-5x}{-5}> \frac{15}{-5}$

We simplify to get,

$x>-3$

See attachment for graph

<u>SOLUTION TO QUESTION 3</u>

For $3k>5k+12$

We group the terms in $k$ on the left hand side of the inequality,

$3k-5k>12$

We simplify to obtain;

$-2k>12$

We divide both sides by $-2$ and reverse the inequality sign because, we are dividing by a negative number again. This implies that;

$\frac{-2k}{-2}$

This simplifies to;

$k$

See attachment for graph.

<u>SOLUTION TO QUESTION 4</u>

Given the set {5,10,15}

All the possible subsets are;

{}, {5}, {10}, {15}, {5,10}, {5,15}, {10,15}, and {5,10,15}

<u>SOLUTION TO QUESTION 5</u>

For $2t\le-4 \: or\:7t\ge 49$

We divide through the first inequality by 2 and the second inequality by 7 to obtain;

$t\le-2 \: or\: t\ge 7$

Or

$t\le-2 , t\ge 7$

<u>SOLUTION TO QUESTION 6</u>

We have $|n+2|=4$

This implies that;

$(n+2)=4$ or $-(n+2)=4$

This implies that;

$n+2=4$ or $n+2=-4$

This simplifies to;

$n=4-2$ or $n=-4-2$

$n=2$ or $n=--6$

<u>SOLUTION TO QUESTION 7</u>

We have $|2x-7|>1$

This implies that;

$2x-7>1$ or $-(2x-7)>1$

We divide the second inequality by negative 1 and reverse the inequality sign.

$2x-7>1$ or $2x-7$

We group like terms to get,

$2x>1+7$ or $2x$

$2x>8$ or $2x$

We divide both inequalities by 2 to obtain;

$x>4$ or $x$

<u>SOLUTION TO QUESTION 8</u>

Given A={1,2,3,4,5,6,7,8,9}

and

B={2.4,6,8}

The union of A and B, are the elements in set A or set B or both.

$A \cup B$ ={1,2,3,4,5,6,7,8,9}

<u>SOLUTION TO QUESTION 9</u>

Given:

P={1,5,7,9,13}

R={1,2,3,4,5,6,7}

and

Q={1,3,5}

We apply our understanding of subsets to draw the Venn diagram.

See attachment for the Venn Diagram.

3 0

3 years ago

Which of the following statements are true?

kow [346]

The true statements are; A. Both graphs have exactly one asymptote. C. Both graphs are exponential functions. B. Both graphs have been shifted and flipped.

<h3>What are exponential functions?</h3>

When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

For example, y^x

, where a is a constant is an exponential function.

The graphs are exponential functions because as x increases, the y approaches infinity.

Here, the graphs have exactly one asymptote.

we can see that both graphs appear to have been shifted and flipped especially when at their respective coordinates.

The true statements are;

A. Both graphs have exactly one asymptote.

C. Both graphs are exponential functions.

B. Both graphs have been shifted and flipped.

Read more about Function Graphs at;

brainly.com/question/11507546

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7 0

2 years ago

What is b for the equation y=1/3x+b??

melisa1 [442]

B represents the y intercept.

3 0

3 years ago

An equation and the steps to solve it are shown below 2×

777dan777 [17]

Need more detail to solve

7 0

3 years ago

(02.02)A shape is shown on the graph:

inna [77]

Based on the shape shown on the graph, the reflection of the shape would be b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.

<h3>What shape is the reflection?</h3>

The coordinate grid that the shape would be reflected across is the y axis to get a reflection in the negative side of the x axis.

The first reflection would be of the point that is (2,2). It would be reflected to become (-2, 2).

The second reflection would be of point (2, 6) which would then be reflected to become (-2, 6).

Finally the third point would be of point (4, 2) which would then become (-4, 2).

In conclusion, the reflection was across the y axis.

Options include:

a) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 4, 2 and negative 4, 6.
b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.
c) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 2, 4 and negative 6, 2.
d) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 2, negative 4 and 6, negative 2.

Find out more on reflection at brainly.com/question/1908648

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8 0

2 years ago