How many different orders of top-three finishers are possible?
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Answer:

[tex]\frac{10x^2+3}{y^2+4}[/tex]

Step-by-step explanation:

When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have [tex]\frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}[/tex]

==> remove parenthesis and apply signs

[tex]\frac{x^2+5+4x^2-2}{y^2+4}[/tex]

==> simplify numerator by combining like terms

[tex]\frac{10x^2+3}{y^2+4}[/tex]

and we are done!

Note:

like terms are terms with the same variable and exponent

An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7

The like terms being combined here were (6x² and 4x²) and (5 and -2)

Answer:

[tex]\frac{10x^{2} +3}{y^{2}+4 }[/tex]

Step-by-step explanation:

[tex]\frac{6x^{2} +5}{y^{2}+4 } +\frac{4x^{2} -2}{y^{2}+4 }[/tex]

make the common denominator

[tex]\frac{6x^{2} +5+4x-2}{y^{2}+4 }[/tex]

combone the like terms

[tex]\frac{10x^{2} +5-2}{y^{2}+4 }[/tex]

subtract numbers

[tex]\frac{10x^{2} +3}{y^{2}+4 }[/tex]

Answer:

Its B

Step-by-step explanation:

60+60+60=180

Triangle=180

Answer:

y = -x +4

Step-by-step explanation:

Hi there!

We are given the equation of a line, and we want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y-intercept

First, we need to find the slope of the line

The slope (m) can be calculated from 2 points, using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

First, let's find 2 points on the line:

The intercepts - the points where the line hits the x and y axis are a good place to start; the intercepts of this line are (4,0) and (0, 4), which will also work for calculating the slope

Let's label the values of these 2 points to avoid any confusion and mistakes when calculating.

[tex]x_1=4\\y_1=0\\x_2=0\\y_2=4[/tex]

Substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{4-0}{0-4}[/tex]

Subtract

m=[tex]\frac{4}{-4}[/tex]

Divide

m = -1

The slope of the line is -1

We can substitute that into our equation:

y = -x + b (when -1 is the leading coefficient, only adding a minus sign in front of the variable will suffice)

Now we need to find b

As said earlier, b is the value of y at the y intercept

The point of the y intercept is (0, 4), and the value of y at this point is 4

So substitute 4 as b into the equation

y = -x + 4

Hope this helps!

The answer is option B

Answer:

A. y = x - 3

Step-by-step explanation:

By examining the table, we can see that all y-values have a constant correlation to each x-value by -3. Therefore, the best answer is y = x - 3.

x + 3 would change to y-values to 7, 9, 11, 13.
4x would change the y-values to 16, 24, 32, 40.
x + 2 would change the y-values to 6, 8, 10, 12.

hope this helps!

Answer:

9x10^100= 9e+100 3x10^40= 3e+40

Step-by-step explanation:

100-40 = 60

In h(x) = 4x^2 + 3x - 2, there is an x contained with h as well as an x in the expression. To find h(j + 1), we'll need to plug in (j + 1) everywhere that there is an x.

h(j + 1) = 4(j + 1)^2 + 3(j + 1) - 2

h(j + 1) = 4(j^2 + 2j + 1) + 3j + 3 - 2

h(j + 1) = 4j^2 + 8j + 4 + 3j + 3 - 2

h(j + 1) = 4j^2 + 11j + 5

Hope this helps!

Answer:

Use a TI84 calculator.

Step-by-step explanation:

There is no way to solve this by hand on paper as the answer is an indefinite number.

She received 12 calls from her son and 30 calls in total.

40% of 30 is 12.

keeping in mind that a year has 12 months, thus 6 months is really 6/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$630\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases} \\\\\\ I = (630)(0.065)(\frac{1}{2}) \implies I\approx 20.48[/tex]

Answer:

78º

Step-by-step explanation:

Note : -

In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the

x - axis.

Step 1 : -

Find where 192º lies in which quadrant.

192º lies in 3rd quadrant ( between

180º and 270º )

Step 2 : -

Subtract : 270 - 192

270 - 192 = 78º

( Since, 192º is greater than 180º, is subtracted from 270º )

Answer : -

78º is the reference angle for 192º.

Answer:

we can not help you sorry its a really inportant test

Step-by-step explanation:

Answer: 4,000,000

Please, please give me brainliest! I'm trying to become the next rank :) Thanks!

Answer: Heyaa!

The Answer Is... 4000000

Step-by-step explanation:

Multiple them together :

Hopefully this helps you !

- Matthew ~

Answer:

0.9219

Step-by-step explanation:

Starting at the deccimal point and going right, the places are: tenths (one decimal place), hundredths, thousandths, ten-thousandths. So that the number is ten-thousandths means it has four decimal places. Those digits are given in the problem "nine thousand two hundred nineteen"

Answer:

52 should be the answer

Step-by-step explanation:

first, love the parathesis. subtract 7-2

second 3 raised to the second power

third times 3 raised to the third power by 5 the answer a few u substrates 7-2

fourth 14 divide 2

finally I would add (14/2) 7 + 45 (which is 9 times 5)

read through it carefully by the end if the problem, you should have 52 as the ans

Answer:

1360

Step-by-step explanation:

The value of x, when two angles are complementary with one angle value is x plus 9 degrees and the second angle value is 44 degrees, is 37 degrees.

The two angles are called complementary angles, when the sum of these two angle is equal to the 90 degrees.

Suppose there are two angle, angle A and angle B. These two angles will be complementary if,

[tex]m\angle A+m\angle B=90^o[/tex]

The figure shows complementary angles.

As, both the angles are complementary. Thus,

[tex](x+9)+44=90\\x+9+44=90\\x+53=90\\x=90-53\\x=37^o[/tex]

Thus, the value of x, when two angles are complementary with one angle value is x plus 9 degrees and the second angle value is 44 degrees, is 37 degrees.

Learn more about the complementary angles here;

https://brainly.com/question/16281260

#SPJ1

Answer:

y=[tex]\frac{7}{4}[/tex]x-5

Step-by-step explanation:

by using this website

its a graphing calculator

desmos. com/calculator

The answer would be C

Hope this helps

Answer:

SW

Step-by-step explanation:

Step-by-step explanation:

Correct option is A)

Let Q(h,k) be the image of P(3,3) w.r.t the line mirror x+y=0

a

h−p

=

b

k−q

=

a

2

+b

2

−2×(ap+bq+c)

1

h−3

=

1

k−3

=

2

−2(6)

⇒h−3=k−3=−6

⇒h=−3,k=−3

So, the image is Q(−3,−3).

In the second transformation, point Q is translated horizontally 3 units to the left and vertically 3 units up.

So, the coordinates of new image is (−3−3,−3+3) i.e. (−6,0)

In the third transformation, point (−6,0) is reflected w.r.t the line y=x

So, the final image is (0,−6).

Was this answer helpful?

Step-by-step explanation:

If r is 1/6 then we'll have 1/4*1/6+7/24.

Firstly we will multiply 1/4 and 1/6 which will give us 1/24.

Then we will add 1/24 and 7/24 which will give us 8/24.

Then we reduce it to it's lowest term that is 1/3.TRY THIS.

Answer:

166 m²

Step-by-step explanation:

Surface Area

Answer:

we know that

the equation for calculating the slope of a line is

m=(y2-y1)/(x2-x1)

look for any two points on the graph

let

A(0,0)

B(3,1)

m=(1-0)/(3-0)------> m=1/3

the slope  is 1/3 throughout the line

therefore

the answer is the option

B-It is 1/3 throughout the lineStep-by-step explanation: