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3 years ago

Roy and Sam start solving the equation as follows.

Mathematics

1 answer:

denpristay [2]3 years ago

7 0

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

$-3x+4=5x-6$

According to the addition property of equality $a=b$ and $a+c=b+c$ are equivalent equations.

Use addition property of equality, add 3x on both the sides.

$-3x+4+3x=5x-6+3x$

$4=8x-6$

Therefore Sam's work is incorrect because he make calculation mistake.

According to the subtraction property of equality $a=b$ and $a-c=b-c$ are equivalent equations.

Use subtraction property of equality, subtract 5x from both the sides.

$-3x+4-5x=5x-6-5x$

$-8x+4=-6$

Therefore Roy's work is correct because he used subtraction property.

Option D is correct.

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A book has 6 chapters in it, each with the same number of pages. The book also has an introduction that is 8 pages long. The who

VARVARA [1.3K]

Answer:

31 pages

Step-by-step explanation:

Assumed the question is how many pages are in each chapter.

6x + 8 = 194
6x = 186
x = 186/6
x = 31

8 0

3 years ago

Read 2 more answers

Which of the following is true of the data set represented by the box plot max at 35

Bezzdna [24]

Though the box plot is not given, the truth about the data set represented by the box plot is <u>removing</u> the outliers would not affect the median.

A box plot gives a graphical (rectangular) representation of statistical data based on the following five values: minimum, first quartile, median, third quartile, and maximum.

Essentially, a box plot has the following five data descriptions:

The leftmost whisker, showing the minimum value.
The rightmost whisker, showing the maximum value.
The leftmost line, showing the first quartile.
The middle line, showing the median or the second quartile.
The last line shows the third quartile.

Thus, the truth about the data set represented by the box plot is <u>removing</u> the outliers would not affect the median.

Learn more about the box plot at brainly.com/question/14277132

3 0

2 years ago

PLEASE HELP ASAP

Nat2105 [25]

A leg of a right triangle can never be greater then the hypotenuse

this formula will tell you if it's a valid right triangle
${?}^{2} + {?}^{2} = {?}^{2}$
the first two question marks are the legs of the triangle while the one after the = is the hypotenuse.

THE STEPS:
${3}^{2} + { \sqrt{7}^{2} } = {4}^{2}$
$9 + {2.65}^{2} = 16$
${2.65}^{2} = 7$
$9 + 7 = 16$
ANSWER: $\sqrt{7}$

5 0

3 years ago

D/dx(sin x/2+cos x) = (a + b cos x)/(2+cos x)^2 find a and b.

Talja [164]

Answer:

a = 1 and b = 2

Step-by-step explanation:

Using the Quotient Rule>

d/dx[(sin x)/(2+cos x) ]

= [(2 + cos x) * cosx - sin x * - sin x)] / (2 + cos x)^2

= 2cos x + cos^2x + sin ^2 x) / (2 + cos x)^2

But cos^2x + sin^2x = 1 so we have:

(1 + 2 cos x) / (2 + cos x)^2

- so a = 1 and b = 2.

7 0

3 years ago

what is the point slope form of an equation with the slope of 3/5 that passes through the point (10,-2)?

Mama L [17]

Point slope form of a line:
$y-y_1=m(x-x_1)$ where $m$ is your slope and $(x_1,\ y_1)$ is a point on your line.

For a line with a slope of 3/5 that passes through (10, -2)...
$m=\frac35,\ x_1=10,\ y_1=-2$
Let's plug these values into our formula.

$y-(-2)=\frac35(x-10)$

Subtracting by a negative is the same thing as adding (the double negatives cancel), so let's simplify that.

$\boxed{y+2=\frac35(x-10)}$

There's our equation in point-slope form. (keep in mind that you're not going to want to distribute that 3/5 or subtract the 2 or anything. You want to keep it similar to the formula.

6 0

3 years ago