A rational function that has a domain of x # 1 and x 4 and passes through
(-3, 3). Find the function.

Answer:

3/8 = 0

4/9= 0

Step-by-step explanation:

The quotient is 0 because the numerator is less than the denominator.

Answer:

27/32 is the answer

Step-by-step explanation:

Did the math, did the recipicol of 4/9 then multiplied.

Answer:

The length of QR is 29.9 cm

Step-by-step explanation:

Let us revise the sine and cosine rules

In triangle ABC:

[tex]\frac{AB}{sin(C)}=\frac{BC}{sin(A)}=\frac{AC}{sin(B)}[/tex] ⇒ sine rule

(AC)² = (AB)² + (BC)² - 2(AB)(BC)cos(∠B) ⇒ cosine rule

Let us use these rules to solve the question

In Δ PQS

∵ [tex]\frac{PS}{sin(Q)}=\frac{QS}{sin(P)}[/tex]

∵ PS = 11.7 cm

∵ m∠P = 95°, m∠Q = 28°

→ Substitute them in the rule above

∴ [tex]\frac{11.7}{sin(28)}=\frac{QS}{sin(95)}[/tex]

→ By using cross multiplication

∴ QS × sin(28) = 11.7 × sin(95)

→ Divide both sides by sin(28) to find QS

∴ QS = 24.82680292 cm

Now let us use the cosine rule to find QR

In Δ QSR

∵ (QR)² = (QS)² + (RS)² - 2(QS)(RS)cos(∠QSR)

∵ RS = 10.2 cm

∵ m∠QSR = 110°

→ Substitute these values in the rule above

∴ (QR)² = (24.82680292)² + (10.2)² - 2(24.82680292)(10.2)cos(110)

∴ (QR)² = 893.631984

→ Take √  for both sides

∴ QR = 29.89367799

→ Round it to 3 significant figures

∴ QR = 29.9 cm

Answer:

✓50 km

Step-by-step explanation:

Here, Area of parallelogram = base x height

so, at least two data should be given,

hence, let us consider base = height in this case.

Here it becomes,

Area of parallelogram = base²

50 km² = base²

Now, providing square root on both sides,

we get,

✓50 km = base

Given :

Population of country in 2006 , P = 300 million.

Consumption of fruit juice in 2006 by while population, C = 1.85 billion.

To Find :

The average number of gallons of fruit juice consumed per person in the country in​ 2006.

Solution :

We know, 1 billion = 1000 million.

C = 1.85 billion = 1850 million.

Now, average umber of gallons of fruit juice consumed per person in the country in​ 2006 is :

[tex]c =\dfrac{C}{P}\\\\c=\dfrac{1850}{300}\ gallons/person\\\\c=6.17 \ gallons/person[/tex]

Hence, this is the required solution.

Hey there!

Started at 3:20 and studied for 2 hours and 15 minutes

=> [tex]3:20 \\ 2:15 \\ \overline{5:35} \\ \overline{ } [/tex]

Therefore, He finished at 5:35

Answer:

-2

Step-by-step explanation:

-5  -4  -3  -2  -1  0  1  2 3  4  5

Answer:

3.4 kilometers on both days

Step-by-step explanation:

[tex]1.45+0.5=1.95[/tex]

[tex]1.45+1.95=3.4[/tex]

Answer:

Fourth option

Step-by-step explanation:

Given the following question:

[tex]2^2+8^2\div2^2[/tex]

To find the answer we need to convert the exponents into integers and then solve using PEMDAS.

[tex]2^2+8^2\div2^2[/tex]
[tex]2^2=2\times2=4[/tex]
[tex]8^2=8\times8=64[/tex]
[tex]2^2=2\times2=4[/tex]
[tex]4+64\div4[/tex]
[tex]64\div4=16[/tex]
[tex]4+16[/tex]
[tex]4+16=20[/tex]
[tex]=20[/tex]

Your answer is "20" or the fourth option.

Hope this helps.

Answer:

81 is a perfect square

18 isn't a perfect square

50 isn't a perfect square

32 isn't a perfect square

Step-by-step explanation:

Numbers whose square roots are whole numbers, or more accurately positive integers are called perfect root

Example 7×7=49

Answer:

A=½bh

56=8a(½)

multiply by reciprocal both sides

112=8a

divide

14=a

Answer:

y = 2x + 8

Step-by-step explanation:

the equation of a line in slope-intercept form is.

y = mx+b

where m is the slope and b the y-intercept

to calculate m use the gradient formula

m = (y2−y1 ) / (x2−x1)

let (x1,y1)=(-6,-4) and (x2,y2)=(-4,0)

m = (0 - (-4)) / (-4 - (-6) = 2

y = 2x+b←is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using (-6, -4) then

-4 = -12+b⇒b=8

y = 2x + 8←is the equation of line

The amount of text messages sent by teenagers in the United States in 2015 is about 1.98 x [tex]10^{10}[/tex]

Scientific notation is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

2.2 x 10^7 + 9 x 10^2 = 1.98 x 10^10

To learn more about scientific notation, please check: https://brainly.com/question/25334755

Answer:

6

Step-by-step explanation:

Factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factores of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

6 is the greatest common factor.

Answer:

6

Step-by-step explanation:

The common factors of 42 and 90 are 6,3,2,1

Therefore the greatest common factor of 42 and 90 is 6

Answer:

Step-by-step explanation:

<7 + <8 = 180 [They are supplementary.]

5x + 5  + x - 5 = 180

6x = 180

x = 180/6

x = 30

==================

m<7 = 5x + 5 = 5*30 + 5 = 150+5 = 155

m<8 = x - 5 = 30 - 5 = 25

Answer:

the answer is: 70

Step-by-step explanation:

[tex]s \: = \: \frac{ah}{2} [/tex]

[tex]s \: = \: \frac{70 \: \times \: 20}{2} = \: 70[/tex]

Answer:

5/24 kg

Step-by-step explanation:

5/6 ÷ 4/1 (keep-change-flip)

5/6 x 1/4 = 5/24

Check the picture below.

Answer: 5 inches

Step-by-step explanation:

The volume of a cylinder is equal to pi*radius^2*height.

We can replace the height with 12 inches and the volume with 942 cubic inches.

Therefore, 942 in^3 = pi*radius^2*12 inches

We can divide both sides by 12:

pi*radius^2 = 78.5 inches^2

We can divide both sides by pi:

Radius^2 = About 24.99 inches^2

We can square both sides:

Radius approximately equals 5 inches.

==================================================

Explanation:

Add -3 to each term to get the next term. This is the same as subtracting 3 from each term. In this case, the common difference is d = -3.

The first term is a = 20

---------

The nth term formula for the arithmetic sequence is

a(n) = a+d(n-1)

a(n) = 20+(-3)(n-1)

a(n) = 20-3n+3

a(n) = -3n+23

If we plug in n = 1, we would get a(n) = 20. Plug in n = 2 to get a(n) = 17. And so on. This helps confirm we have the correct nth term formula.

Answer:

$/£ 0.14

Step-by-step explanation:

1 gallon = 128 Ounces

2 gallons = 256 ounces

35.84 ÷ 256 = $/£0.14

Answer: $0.14 per fl oz

Step-by-step explanation:

# of fluid oz per gallon = 128

2 gallons = 256 fl oz

$35.84/256= 0.14

Answer:

Step-by-step explanation:

We have similar triangles:

Find segment BC using similarity and ratios:

Find EC using Pythagorean:

Correct choice is C

Answer:

y=x+1

Step-by-step explanation:

The slope of the equation is 1, you can try the rise over run method or picking 2 points and subtracting them for example 2,3 and 3,4

2,3-3-4=1,1. The y-intercept is 1 because that is the point where the line crosses the y axis.

Answer:

Slope intercept form:

y = mx + b

Where 'y' is the independent variable and 'x' is the dependent variable.

'm' represents the slope(rise/run), and 'b' represents the y-intercept(where the line meets the y-axis).

If we look at this graph, we can see the line meets the y-axis at 1. So 1, will be our y - intercept.

We can also see, that from the point 1, it rises 1 and goes over 1. So 1, will be our slope as well.

To double check this, we select two fixed points on this graph and subtract the y-coordinates from each other and divide the result of that by the x-coordinates subtracted from each other.

y2(second y-coordinate) - y1(first y-coordinate)

_____________________________________

x2(second x-coordinate) - x1(first x-coordinate)

We pick the two points to be, (1,2) and (2,3).

 3 - 2              1

______ = _______, which is equal to 1, so 1 is the slope.

 2 - 1               1

Now we insert these values into our slope intercept form equation:-

y = mx + b

y = 1x + 1 or y = x + 1.

Where 1 is the slope, and the y-intercept is 1.

Answer:

225

Step-by-step explanation:

a[tex]x^{2}[/tex] -  bx + c

[tex](\frac{b}{2}) ^{2}[/tex]

[tex](\frac{-30}{2}) ^{2}[/tex]

[tex](-15)^{2} \\[/tex]

225

[tex](x-15)^{2}[/tex] = [tex]x^{2}[/tex] - 30x + 225

Answer:

y = 4x + -5

Step-by-step explanation:

Answer:

[tex]y=4x-5[/tex]

Step-by-step explanation:

parallel lines have the same gradient so line P's gradient would also be 4

line P's equation is [tex]y=4x+c[/tex] but we don't know the c variable yet, so we just plug in the coordinate values

[tex]-5=4(0)+c[/tex]

[tex]-5=c[/tex]

so line P's equation is [tex]y=4x-5[/tex]

Answer:

Step-by-step explanation:

interior angle =(n-2)180

=(4-2)*180

=360

360=164+71+24+x

360=260+x

x=360-260

x=100

Answer:

Step-by-step explanation:

Since angles in quadrilateral (4-sided shape) add up to 360 degrees

therefore,

360 = 164 + 71 + 25 + x

360 = 260 + x

subtract 260 from both sides

360-260 = 260-260 + x

100 = x

The solution is, $210 does he have to spend after paying his bills.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

Drake’s monthly outlay include a $70 phone bill and a $120 car assuming he makes $400 a month,

i.e. we get,

Drake’s monthly outlay include a $70 phone bill and a $120 car.

so, total spend = $ 120 + 70

                         = $190

now, we have to find how much does he have to spend after paying his bills.

so, we have to subtract 190 from 400

i.e. 400 - 190

=210

Hence, $210 does he have to spend after paying his bills.

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ2

Answer:

Off-brand mp3 for $44.99

Step-by-step explanation:

Given;

75% off of a brand name mp3 player that costs $199 or  an off-brand mp3 player for $44.99

Note;

off = discount = decrease

Solve;

Starting with brand name mp3

$199 x 75% = 149.25

199 - 149.25= 49.75

Now with off brand mp3

$44.99 x 75% = 33.7425

Round 33.7425 = 33.74

$44.99 - 33.74 = 11.25

49.75 > 11.25

Hence, we can see that off-brand mp3 player is a better deal.

~Learn with Lenvy~

The probability that you will first choose a red marble followed by a green marble is 20%.

Given that a bag contains 1 blue, 2 green, and 2 red marbles, and you choose a marble with one hand and then a second marble with the other hand, to determine what is the probability that you will first choose a red marble followed by to green marble the following calculation must be made:

Therefore, the probability that you will first choose a red marble followed by a green marble is 20%.

Learn more about probability in https://brainly.com/question/26677483

The probability of choosing a red marble is 2/5 while the probability of choosing a green marble after a red marble is 1/2

Data;

To solve this problem, we have to do probability without replacement.

The total number of marbles in the bag is

[tex]1 + 2 + 2 = 5[/tex]

The probability of choosing a red marble is

Number of read marbles = 2

probability of choosing a red marble is

[tex]P = \frac{2}{5}[/tex]

The probability of choosing a green marble after a red marble is

[tex]P = \frac{2}{4} =\frac{1}{2}[/tex]

The probability of choosing a red marble is 2/5 while the probability of choosing a green marble after a red marble is 1/2

Learn more on probability here;

https://brainly.com/question/251701

Answer:

A and C are stories that can be represented by the tape diagram.

[tex]\\ \tt\hookrightarrow (x+5)(x+8)[/tex]

[tex]\\ \tt\hookrightarrow x(x+8)+5(x+8)[/tex]

[tex]\\ \tt\hookrightarrow x^2+8x+5x+40[/tex]

[tex]\\ \tt\hookrightarrow x^2+13x+40[/tex]

Done!