solve the equation
6x-2y+1=0
3x-5y+7=0

Answer:

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Step-by-step explanation:

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The requried value of the given expression is (x² + 2)/x - 1.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 3x² + 6 / 3x - 3
= 3 [x² + 2] / 3 [x - 1]
= x² + 2 / x - 1

Thus, the requried value of the given expression is (x² + 2)/x - 1.

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It will indeed take Bill 1.5 hours to finish the remaining [tex]\( \frac{3}{16} \)[/tex] signs.

Work done by Bill, Bob, and Barry collectively take the working efficiency in a defined time interval.

Barry's work in 3 hours:

[tex]\(3 \times \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \text{ sign}\)[/tex]

Bob's work in 3.5 hours:

[tex]\(3.5 \times \frac{1}{4} = \frac{7}{8} \text{ sign}\)[/tex]

Bill's work for the same time until Bob leaves (3.5 hours):

[tex]\(3.5 \times \frac{1}{8} = \frac{3.5}{8} = \frac{7}{16} \text{ sign}\)[/tex]

Total work done by all three in the first 3.5 hours:

[tex]\[ = \frac{1}{2} + \frac{7}{8} + \frac{7}{16}\\= \frac{8}{16} + \frac{14}{16} + \frac{7}{16} \\= \frac{29}{16} \text{ signs} \][/tex]

Remaining work to be done:

[tex]\[ = 2 - \frac{29}{16} \\= \frac{32}{16} - \frac{29}{16} = \frac{3}{16} \text{ signs} \][/tex]

Time for Bill to complete remaining work:

Bill’s rate: [tex]\( \frac{1}{8} \text{ signs per hour}\)[/tex]

Time to paint [tex]\( \frac{3}{16} \text{ signs}\):[/tex]

[tex]\[ =\frac{\frac{3}{16}}{\frac{1}{8}} \\= \frac{3}{16} \times 8 = \frac{24}{16} = 1.5 \text{ hours} \][/tex]

Thus, It will indeed take Bill 1.5 hours to finish the remaining [tex]\( \frac{3}{16} \)[/tex] signs. This confirms that the correct answer is 1.5 hours.

Slope is Undefined because it's just a vertical line and it's not angled...

Final answer:

To rewrite 56 + 32 as the product of the GCF and a sum, calculate the GCF, which is 8. Then, express the sum as 8 times the sum of the numbers obtained by dividing 56 and 32 with the GCF. The rewritten expression is 8 × 11.

Explanation:

To rewrite the expression 56 + 32 as the product of their greatest common factor (GCF) and a sum, we first need to find the GCF of 56 and 32. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The factors of 32 are 1, 2, 4, 8, 16, and 32. The common factors are 1, 2, 4, and 8. The largest common factor is 8, which is the GCF.

Next, we divide both 56 and 32 by the GCF to find the other factor:

56 ÷ 8 = 7

32 ÷ 8 = 4

Now, we represent the original sum as the product of the GCF and the sum of the results from the division:

56 + 32 = 8 × (7 + 4)

When we simplify the sum inside the parentheses, we get:

8 × 11

Therefore, the expression rewritten as the product of the GCF and a sum is 8 × 11.

multiply both numbers by the same number

 so multiply by 2 you get 14/16

 multiply by 3 you get 21/24

 and so on

The value of x + y +z is 15.

A type of number that includes the natural number and zero.

It does not include fractions and decimals.

Odd numbers are those real numbers that are not divisible by 2.

The variables x, y, and z are whole numbers.

The value of x, y, and z is greater than 2

xyz² = 735

The value of x + y +z has to be determined.

Let x = 3 ,then by the given statement y = 5 and z = 7

These are odd numbers , greater than 2 and they hav a difference of 2 amongst them.

To check, they should satisfy xyz² = 735

=  3 * 5 * 7²

= 735

So these are the values of the variables and so,

The value of x + y +z is

= 3 + 5 + 7

= 15

It seems that your question is incomplete, the complete question is :

If x , y and z Are whole odd numbers, greater than 2 and the difference between each number is 2. If xyz2 = 735 What is the value of x+ y+z.

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12 *16 = 192

1/2 *20*10 = 100

192 +100 = 292 square units

Answer:

(B)

Step-by-step explanation:

From the given figure, we can see that the opposite sides of the given quadrilateral are congruent but they do not meet at right angles because there is no right angle marked on the given figure, thus the given quadrilateral cannot be rectangle (by the definition).

Therefore,  No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.

Also, only one diagonal of measure 28 is given, no other diagonal is given, thus rest of the options do not hold.

The answers are PT−→−  and PY−→−

Solve ( x – 3)( x + 2) > 0.

Solve ( x – 3)( x + 2) = 0. By the zero product property, 

Make the boundary points. Here, the boundary points are open circles because the original inequality does not include equality (see Figure 1).

Select points from the different regions created (see Figure 2).

See whether the test points satisfy the original inequality.

Since x = –3 satisfies the original inequality, the region x < –2 is part of the solution. Since x = 0 does not satisfy the original inequality, the region –2 < x < 3 is not part of the solution. Since x = 4 satisfies the original inequality, the region x > 3 is part of the solution.

Represent the solution in graphic form and in solution set form. The graphic form is shown in Figure 3.

The solution set form is { x| x < –2 or x > 3}.

What is the question? If you are only trying to expand the expression then the answer would be:

1/4 (5y-3)+ 1/16 (12y+17)

(5y/4) – (3/4) + (12y/16) + (17/16)

1.25y – 0.75 + 0.75y + 1.0625

2y + 0.3125

If you are trying to find for y, then you forgot to equate it to 0, that is:

2y + 0.3125 = 0

2y = -0.3125

y = 0.15625

Answer:

The false statement is d; the quotient of two negative numbers is always negative.

The false statement is The quotient of two negative numbers is always negative.

The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.

Integers come in three types:

First, The sum of two positive numbers is always positive.

The statement is true.

For example, +3 + (+6)= +9

Second, The product of two negative numbers is always positive.

The statement is true.

For example, (-3) x (-6) = +18        { (-) x (-) = (+)}

First, The sum of two negative numbers is always negative.

The statement is true.

For example, -3 + (-12)= -3 - 12 = -15

First, The quotient of two negative numbers is always negative.

The statement is false.

For example, -9/(-3)= +3

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R is the midpoint of QS, if QR=2x and RS=x+3, then, the value of RS is:

RS is 6 units.

Here, we have that, R is the midpoint of QS, if QR=2x and RS=x+3.

Since R is the midpoint of QS, we know that QR is equal to RS.

Given that,

QR = 2x, and RS = x + 3,

we can set them equal to each other:

2x = x + 3

Now, let's solve for x:

2x - x = 3

x = 3

Now that we have the value of x, we can find RS:

RS = x + 3

RS = 3 + 3

RS = 6

So, RS is 6 units.

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