Solve the rational equation by multiplying both sides by the LCD. Check your results for extraneous
solutions.
3
2 + 5x + 6
2-1
x + 2
7
x + 3
is a solution.
x=
0
is an extraneous solution.
RETRY
Intro

Answer:

[tex]y=8x, \\y=12x[/tex]

Step-by-step explanation:

Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after [tex]x[/tex] term). The only answers that fit this format are:

[tex]\rightarrow \boxed{y=8x}\\\rightarrow \boxed{y=12x}[/tex]

Answer: Y=8x

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because area of prism = L×W×H

so

[tex] \frac{3}{4} \times \frac{5}{2} \times \frac{5}{4} [/tex]

answer is 75/32

hope this make sense:)

Answer:

Hi there uwu The answer is 75/32, also explained by the other answerer!

Step-by-step explanation:

Answer:

C) (0,5)and(-4,5)

Step-by-step explanation:

Answer:

First one:

1², 2², 3² and so on (Square of 1,2,3,4,5,6,7.....)

Second one:

2, 13, 26, 41...

add 11, add 13, add 15 (add increasing odd numbers, beginning from 11)

Third one:

4, 14, 29, 49

+10, +15, +20 and so on (add the multiple of 5,beginning from 10)

Fourth one:

1, 8, 27, 64

1³, 2³, 3³, 4³ and so on(cube of 1,2,3,4,5,6,7.....)

Brainliest please

you showed no diagram or any picture / screenshot

Answer:

0.111111...

Step-by-step explanation:

Hi,

this function is stating that for any x the f is 9(3)^x.

SO if x was -4 it would be 9(3)^-4

Following order of operations we calculate the exponent first.

the answer is 0.1111111...

Answer:

1/3 x + 40 = 5/7 x

7x +(21)(40) = 15x

21*40 = 8x

x = 105cm3

Step-by-step explanation:

Answer:

answer b, SAS rule

Step-by-step explanation:

The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

Answer: 9.3 in.

Step-by-step explanation:

Jacob wants to enlarge the larger side of the photo which is the 6 in. part, to becomes 14 in.

This means that Jacob wants to increase the larger side by a scale factor of:

= Length of enlarged picture / Length of original

= 14 / 6

= 2.33

2.33 is therefore the scale factor.

The shorter side will also increase by this same scale factor:

= 4 * 2.33

= 9.3 in.

Answer:

lesser x = -10.32

greater x = -3.68

Step-by-step explanation:

Answer:

Hello yes indeed I am here now vote me brainliest.

Step-by-step explanation:

Why you ask? well first I want it even though I did not do anything to help him/her even though, it is funny. :)

Answer: c

Step-by-step explanation:

Answer:c

Step-by-step explanation: it makes the most sense

Your answer would be y=4sin(x+1)-2. That would be A.

The required function is y = 3 sin (x -2) + 1.

A relation between a collection of inputs and outputs is known as a function.

A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).

From the graph that is provided to us we observe that,

when x=2

then f(x)=1

Here, from the function y = 3 sin (x -2) + 1

So, when x=2

we get: y=1

Also,  all the other points are satisfied.

Learn more about Function here:

https://brainly.com/question/12801690

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The trip odometer reading will be between 378.3 km and 378.4 km. Nominally, it will read 378.3 km.

Answer:

180

Step-by-step explanation:

to work out all possibilities you multiple the amount of options.

4x5x9=180

Answer:

1/5 of 30 = 6 hes left with 24

10% of 24 = 2.4 hes left with 21.6

he has 21.6/30 left

Multiply number of cakes by 1/5 and 10%

Sali = 30 x 1/5 = 20/5 = 6 cakes

Jane = 30 x 10% = 30 x 0.10 = 3 cakes

Total he kept = 30-6-3 = 21 cakes left

Step-by-step explanation:

• the area of circle M = 3.14×11² = 379.94

• the circumference of circle M =

2×3.14×11 = 69.08

• XY =√36²-11²=√1296-121=√1175=34.28

• L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°

• the area of triangle XY = ½×11×34.28

= 188.54

• the area of minor sector

= 72.21/360 × 379.94 = 76.20

• the minor arc from point X to

the point where YM intersects

withthe circle

= 72.21/360 × 69.08 = 13.86

Answer:

4 im correct I don't care i used my brain and guessed

Step-by-step explanation:

Answer:

the  range is 16 mode is 5 and median is 11

Step-by-step explanation:

u can cheat if u exit out of  the assignment and then keep trying

Answer:

-16

Step-by-step explanation:

b^2 c^-1

We know that c^-1 can also we written as 1/ c

b^2 / c

Let b =8 and c = -4

8^2 / (-4)

64 / -4

-16

Answer:

(2,1)

Step-by-step explanation:

the best way to figure it out is with a graph

(-3,-9) to (4,5)

for the x

-3 to 4 is exactly 7 points away so you should count 5 over and stop.

for the y

-9 to 5 is exactly 14 points away so you should count in twos and stop at 5 sets of 2

hope this helps <3

Step-by-step explanation:

[tex] \tt{} \frac{155}{18} \times 2[/tex]

[tex]\tt{} \frac{155}{9} [/tex]

[tex]\tt{}17 \frac{2}{9} \\ \\ \\ [/tex]

Given:

[tex]\tan 8\theta =\cot 7\theta[/tex]

To find:

The value of [tex]\theta[/tex].

Solution:

We have,

[tex]\tan 8\theta =\cot 7\theta[/tex]

We know that, [tex]\cot \theta =\tan (90^\circ -\theta)[/tex].

Using the trigonometric property, we get

[tex]\tan 8\theta =\tan (90^\circ -7\theta)[/tex]

On comparing both sides, we get

[tex]8\theta =90^\circ -7\theta[/tex]

[tex]8\theta +7\theta=90^\circ [/tex]

[tex]15\theta=90^\circ [/tex]

Divide both sides by 15.

[tex]\theta=\dfrac{90^\circ}{15}[/tex]

[tex]\theta=6^\circ[/tex]

Therefore, the value of [tex]\theta[/tex] is 6 degrees.

Answer:

the dishes sparkled after we washed them.

Step-by-step explanation:

Answer:

Length = x - 4 meters

Step-by-step explanation:

Area of a rectangle = length × width

Area of a rectangle = x² - 16

width of the rectangle = x + 4 meters.

Length of the rectangle = ?

Recall:

Difference of two perfect square x² - 16 = (x + 4)(x - 4)

Area of a rectangle = length × width

(x + 4)(x - 4) = length * x + 4

Length = (x + 4)(x - 4) ÷ x + 4

Length = x - 4 meters

Step-by-step explanation:

maybe this can help you with your problem

a) The exact value of tan 60 degree is [tex]\sqrt{3}[/tex].

b) The value of h in the given triangle is √3.

c) The area of the given triangle is 24[tex]\sqrt{3}[/tex].

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

The value of tan 60 degree is [tex]\sqrt{3}[/tex].

[tex]Area = \frac{1}{2}bh[/tex]

Where,

b is the base of the triangle.

h is the height of the triangle.

a) Since, the value of tan60 degree is [tex]\sqrt{3}[/tex].

Hence, the exact value of tan 60 degree is [tex]\sqrt{3}[/tex].

b). According to the given question, we have a right angled triangle in which

The length of the adjacent side w.r.t angle 60 degrees is [tex]4\sqrt{3}[/tex].

And, the length of the opposite side w.r.t angle 60 degrees is h.

Therefore, the value of h in the given triangle is given by

[tex]tan60 = \frac{h}{4\sqrt{3} }[/tex]

⇒[tex]\sqrt{3} =\frac{h}{4\sqrt{3} }[/tex]                   (because tan60=√3)

⇒[tex]h=4\sqrt{3} \sqrt{3}[/tex]

⇒[tex]h = 12[/tex]

Hence, the value of h in the given triangle is √3.

c) For the given triangle

Length of base = 4[tex]\sqrt{3}[/tex] unit.

And, the height of the given triangle is 12 unit.

The area of the given triangle is given by

[tex]Area = \frac{1}{2} (4\sqrt{3} )(12)[/tex]

⇒[tex]Area =24\sqrt{3}[/tex]

Hence, the area of the given triangle is 24[tex]\sqrt{3}[/tex].

Learn more about tangent of an angle and area of a triangle here:

https://brainly.com/question/15110994

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What is x equivalent to?

Answer:

62

Step-by-step explanation:

Draw a line from the bottom of the 4 foot line straight across (horizontally) until it hits the vertical line on your left.

The two lines (the one you drew and the left vertical line) meet at right angles.

The upper figure is a rectangle.

Area = L * W

L = 5

W = 4

Area = 5 * 4

Area = 20

Now the bottom rectangle can be found the same way.

Area = L * W

L = 14

W = 3

Area = 14 * 3

Area = 42

The total area = 42 + 20

Total area = 62.

The comment was correct.

Answer:

The scores in order from least likely to most likely is 8, 3, 4, and 5.

Step-by-step explanation:

1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8

You will get:

2 (1/16)

3 (2/16)

4 (3/16)

5 (4/16)

6 (3/16)

7 (2/16)

8 (1/16)

2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).

3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.