In which relation is y not a function of x?

Answer:

[tex] = \frac{3}{5} \\ [/tex]

m is perpendicular to l, s is perpendicular to t, and t is perpendicular to u. Based on the angle shown, these lines are parallel.

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Answer:

17a+10b

Step-by-step explanation:

hope this work have a nice day

Answer:

the first one took it on egde

Step-by-step explanation:

Answer:

y = -16 + 4x

Step-by-step explanation:

The standard slope equation is y=mx+b. M is the slope and also the y intercept so if you look at the graph you can see that -16 is the y intercept, next you have to find the x intercept, why? I don't remember but then you do that in the equation, as you can also see on the graph, 4 is the x intercept so its 4x. put that into y intersect form at it's y = -16 + 4x

Grab your notebook or phone and slide it across the desk you're working on. Now turn it so it's facing sideways. Now flip it over on one of its edges so you're looking at the back side of it. All of these motions are rigid motions.

Any way of moving all the points in the plane such that

a) the relative distance between points stays the same and

b) the relative position of the points stays the same.

There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.

In a translation, everything is moved by the same amount and in the same direction. Every translation has a direction and a distance. See Image-1.

A rotation fixes one point (the roto center) and everything rotates by the same amount around that point. Every rotation has a roto center and an angle. See Image-2.

A reflection fixes a mirror line in the plane and exchanges points from one side of the line with points on the other side of the mirror at the same distance from the mirror. Every reflection has a mirror line. See Image-3.

A glide reflection is a mirror reflection followed by a translation parallel to the mirror. Every glide reflection has a mirror line and translation distance. See Image-4.

Therefore,

Simply put, rigid motions are transformations that preserve the side lengths and angles in a shape. You can see any of these transformations by moving an object you may have around you right now. Grab your notebook or phone and slide it across the desk you're working on. Now turn it so it's facing sideways. Now flip it over on one of its edges so you're looking at the back side of it. All of these motions are rigid motions.

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Answer:

148              

Step-by-step explanation:

The triangle are similar because the angle measurements are the same.  

180-51-34 = 95

180-95-51 = 34

If we match up the corresponding sides we see that the side with 45 corresponds to the side with 36.  Now we need to find the scale factor.

Let s = the scale factor

45s = 36  Divide both sides by 45

s = .8

This means that the corresponding length of the triangle on the right is .8 of the triangle on the left.

The corresponding side to x is 79, so 79 x .8 = 63.2.  Now that we know the three sides we can add them together to find the perimeter.

63.2 + 36 + 48.8 = 148

Answer:

Perimeter = 147.9

hope this helps!

Answer:

x= -103/18

Step-by-step explanation:

1.distribute, 3+2(3x-1)=100/3(2-3)

3+6x-2=100/3 (2-3)

2

Subtract the numbers

3

Rearrange terms

4

Subtract the numbers

5

Multiply the numbers

6

Subtract

1

from both sides

7

Simplify

8

Divide both sides by the same factor

9

Simplify

The zeros of the polynomial function are x = 0, x = 3 and x = ±√2

The equation of the function is given as

f(x) = x⁴ - 3x³ - 2x² + 6x

Factor out x from the equation of the function

So, we have

f(x) = x(x³ - 3x² - 2x + 6)

Factorize the expression in the bracket

So, we have

f(x) = x(x²(x - 3) - 2(x - 3))

Factor out x - 3

So, we have

f(x) = x(x - 3)(x² - 2)

Set the factors to 0

x(x - 3)(x² - 2) = 0

Expand

x = 0, x = 3 and x² = 2

Take the square roots

x = 0, x = 3 and x = ±√2

Hence, the zeros are 0, 3 and ±√2

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Step-by-step explanation:

l = length

w = width

we know, the perimeter of our rectangle is

2×l + 2×w = 600

and that tells us

l + w = 300

l = 300 - w

the area of the rectangle is

A = l × w

so, we use the previous equation in this one :

A = (300 - w) × w = -w² + 300w

this is a quadratic equation that is opening down (negative initial factor).

so the vertex of this parabola is the maximum.

the x (or in our case w) coordinate of the vertex is

-b / 2a

a = -1

b = 300

so,

w = -300 / (2×-1) = -300/-2 = 150 ft

and l × w = 300

l = 300 - w = 300 - 150 = 150 ft.

the maximum area for 600 ft fence is a square with 150 ft side length.

Answer:

Please see photo for explanation and answer.

Word (C) zero describes the slope of the line of the given graph of the linear function.

So, we can infer from the provided graph that its equation is:

Which is also readable as:

Putting it into comparison with the slope-intercept form:

We will obtain a slope of 0.

Therefore, word (C) zero describes the slope of the line of the given graph of the linear function.

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The correct question is given below;

graph a linear function is shown.

Which word describes the slope of the line?

A. positive

B. negative

C. zero

D. undefined

This question is based on dilation. Therefore, the scale factor [tex]$-\mathbf{4}$[/tex] and [tex]$\mathbf{2 . 5}$[/tex] are for expansion of flgure. And,  2/3 and -3/4  are for the contraction of flgure.

We must choose the scale factor of dilation for contraction and expansion in this question.

As we know that,

In a dilation, a scale factor is greater than 1 or less than -1 cause an expansion.  It will make the figure larger.

That  means, -4 is an expansion, since it is less than -1,

And 2.5 is an expansion, since it is greater than 1.

A scale factor that is greater than -1 but less than 1 cause contraction of figure.  It will make the figure smaller.  

This means that,

2/3  Is an expansion, slnce It is less than 1 , and -3/4  Is a contraction, slnce It is greater than -1.

Therefore, the scale factor [tex]$-\mathbf{4}$[/tex] and [tex]$\mathbf{2 . 5}$[/tex] are for expansion of flgure. And, 2/3 and -3/4  are for the contraction of flgure.

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Let's call the speed of the wind as w, and the speed of the plane when its windless as p.

Since an airplane takes 4.5 hours to travel 913.5 miles while flying against the wind, to find its speed we just need to divide the distance travelled by the time

When the plane is flying against the wind, its speed is equal to the speed of the plane when its windless minus the speed of the wind.

Since we already know the speed of the plane on both situations, we can substitute those values on the expression above and solve for w.

The speed of the wind is 34 miles/h.

Hey there!

[tex]-5x > 2(x-14)[/tex]

Our first step is to simplify both sides of the inequality:

[tex]-5x > 2x-28[/tex]

Now, we need to subtract 2x from both sides:

[tex]-5x-2x > 2x-28-2x\\-7x < -28[/tex]

Our final step is to divide both sides by -7:

[tex]\frac{-7x}{-7} > \frac{-28}{-7}[/tex]

[tex]x < 4[/tex]

Hope this helps!

Answer: C

Step-by-step explanation:

answer for the first one is 3.55 pets

second one is 1.4790 pets

i hope this helped! :)

Placing the students in order from fastest to slowest, in terms of who has the fastest water filling rate is;

1. Miles

2. Dubem

3. Hayden

The way the fastest rate is determined is by finding the unit rates

A unit rate (or unit ratio) is a ratio that describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Now, from the question, the rate would clearly be number of walls filled per minute.

1) Mills fills his wall at a rate of 12 wall in 9 minutes. Thus;

Mills unit rate = 12/9 = 4/3 walls filled per minute = 1.333 walls filled per minute

2) Hayden can fill his wall at 15 wall in 313 minutes. Thus;

Hayden's unit rate = 15/313 walls filled per minute = 0.0479 walls filled per minute

3) Dubem can cover 49 wall in 638 minutes. Thus;

Dubem's unit rate = 49/638 walls filled per minute = 0.0768 walls filled per minute

Looking at the decimal unit rates, we can see that fastest to slowest in order are;

1. Miles

2. Dubem

3. Hayden

The way I knew who was faster was to look at the decimal values of their unit rates and it is seen that Miles covered the most part of wall in one minute

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The cost or unit price for purchasing each pair of work gloves is $1.19.

The cost of 7 dozen pairs of padded work gloves purchased by the contractor is $99.96.

The incorrect unit price calculated by the contractor is $14.28 per pair.

Now, we know 1 dozen is equal to 12 units.

Therefore,

The number of pairs of gloves purchased = 7 × 12 = 84

As the total cost is $99.96, the cost of each pair will be:

= $99.96 ÷ 84

= $1.19

The error by the contractor was that she didn't consider the word dozen in his calculation. She simply divided the total cost by 7 to calculate the price per pair.

The unit price of purchasing each pair of work gloves is $1.19.

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Answer:

∠ D ≈ 31.0°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan D = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{9}{15}[/tex] , then

∠ D = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{15}[/tex] ) ≈ 31.0° ( to the nearest tenth )

The solution of the inequality - 9 + 7x < 47 will be;

⇒ x < 8

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is;

⇒ - 9 + 7x < 47

Now, Solve the expression as;

The inequality is;

⇒ - 9 + 7x < 47

Solve as;

⇒ - 9 + 7x < 47

Add 9 both side;

⇒ - 9 + 7x + 9 < 47 + 9

⇒ 7x < 56

Divide by 7, we get;

⇒ 7x/7 < 56/7

⇒ x < 8

Therefore, The solution of the inequality - 9 + 7x < 47 will be;

⇒ x < 8

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Answer:

5mph

Step-by-step explanation:

At the unit rate of reading 93.5 books in 8.5 months, Annarose expects to read 132 books annually.

The unit rate is the ratio or speed that Annarose reads books.

From her established unit reading rate, she reads 11 books in a month.

The unit rate is computed by ensuring that the denominator becomes 1 after the division operation.

The number of books she read in 8.5 months = 93.5 books.

The number of books she can read in 1 month = 11 books (93.5/8.5).

The number of books she can read in 12 months = 132 books (11 x 12).

Thus, given Annarose's reading unit rate, she expects to read 132 books annually, at an average of 11 books every month.

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In the picture, there is a graph and table. It displays the graph of the function f. Option C is correct, As x approaches, they have different x- intercept and y-intercepts but the same end behavior∞.

Given that,

In the picture, there is a graph and table.

It displays the graph of the function f.

Which of the two statements compares the two functions correctly.

A. Their x- and y-intercepts are identical.

B. As x gets closer to, they exhibit the same x-intercept and end behavior∞.

C. As x approaches, they have different x- and y-intercepts but the same end behavior∞.

D. As x gets closer to, they exhibit the same y-intercept and end behavior∞.

So, from the given table and graph we get

Option C is correct.

Therefore, Option C is correct.

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1)

white (w) marble

yellow (y) marble

green (g) marble

red (r) marble

Pw+Pw+Pg+Pr=1 (Eq. 1 )

w+y+g+r=12 (Eq. 2)

Answer: There are 12 marbles in the bag. SInce the question says the bag contains 12 marbles.

2)

a) Pw+Py = Pg

w + y = g (Eq. 3)

b) Pw = 10/40 = 1/4

If P = 1/4, if we have 12 marbles, P=3/12

Then, we know that we have 3 white marbles

Answer: There are 3 white marbles in the bag.

3) Pr = 1/5. Considering that 2 marbles were removed, we have 10 markles. The Pr=2/10.

Answer: Thus, we have 2 balls red.

4) From 12 marbles, we already know that 3 are white and 2 are red.

Then: 12-3-2= 7

Answer: 7 marbles are green or yellow.

5)

From question 4 , we know that;

y + g = 7

y = 7 - g (Eq. 4)

And from Eq. 3

w + y = g

3 + y = g

Substituing Eq. 4 in Eq. 3:

3 + 7 - g = g

10 = 2g

10/2 = g

g = 5

And:

y = 7 - g

y = 7-5

y = 2

The numeratiors are:

3 (Pw), 2 (Py), 5 (Pg)

5) 2 = yellow marbles

5 = green marbles

Matilda arrives home at 18.45 after driving 42 kilometers from her workplace at an average speed of 56 km/h.

The time Matilda uses to drive home from her workplace is a function of the distance she travels and the average speed she goes.

Using the above formula gives us the time in hours/minutes that she took for the home drive.

This derived time is then added to the time she leaves her workplace to get the time she arrives home using the 24-hour clocking system.

The time Matilda leaves her workplace = 18:00

The total distance Matilda travels from work to her home = 42 km

The average driving speed that Matilda traveled with = 56 km/h

Time used for driving home (in hours) = Distance/Speed

= 42/56

= 0.75 hours

= 45 minutes (0.75 x 60)

Arrival Time = 18:45 (18:00 + 45)

Thus, using the 24-hour clocking system, the time Matilda is expected to reach her home is 18:45.

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Using exponent properties, we can rewrite the expression using a single whole-number exponent as:

(0.25³)⁵  = 0.25¹⁵

Here we have the numerical expression:

(0.25³)⁵

Here we need to use the exponent property:

(xᵃ)ᵇ = xᵃ*ᵇ

Using that in our expression, we will get:

(0.25³)⁵ = 0.25³*⁵ = 0.25¹⁵

So we already have a single whole-number exponent, we can also rewrite:

0.25¹⁵ = (1/4)¹⁵

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Scarlett should sell more than ¼ of batch of ponchos to make the profit.

Given,

The revenue made by Scarlett from selling batch of ponchos, R = 20n

The expenses she incurs from producing a batch of ponchos, E = 10√n

The total profit, P = R - E

            = 20n - 10√n

Now,

Profit is earned when Revenue > Expenses

20n > 10√n

÷10   ÷10      

2n >  √n

(2n)² >  (√n)²

4n² > n

4n² - n > 0

n(4n - 1)> 0

n > 0    and     4n - 1 > 0

                            n >  1/4

That is, Scarlett should sell more than ¼ of batch of ponchos to make the profit.

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The solution to the inequality  |x+4| - 6 < 9 is -19 < x < 11.

The inequality can be solved as follows;

|x+4| - 6 < 9

add 6 to both sides of the inequality

|x+4| - 6 < 9

|x+4| - 6 + 6< 9 + 6

|x+4| < 15

applying absolute rule,

- 15 < x + 4 < 15

Therefore,

x + 4 > -15 and x + 4 < 15

x > -15 - 4  and x < 15 - 4

x > - 19 and x < 11

Therefore, the final inequality is -19 < x < 11

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The value of x of angle ∠C is 66°.

So, the value of x:

As we can see that A is a straight angle. Then ∠BAC will be:

Now, we know that in △ABC, ∠A = 24° and ∠B = 90° (Given), then ∠C will be:

Therefore, the value of x of angle ∠C is 66°.

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