A car travels a distance of 104 miles in 4 hours. What is the speed in miles per hour?

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Answer:

The last one.

Step-by-step explanation:

The grouping of factors are x(x² + 5) - 9(x² + 5).

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Constants and variables are components of a polynomial.

We have equation

x³ - 9x² + 5x - 45.

Now, factories the equation as

x² (x-9) + 5(x-9)

= (x² + 5)(x-9)

1. x²(x - 9) - 5(x - 9) ⇒ x³ - 9x² - 5x + 45 (False)

2. x²(x + 9) - 5(x + 9) ⇒ x³ + 9x² - 5x - 45 (False)

3. x(x² + 5) - 9(x² + 5) ⇒ x³ + 5x - 9x² - 45 (True)

4. x(x² - 5) - 9(x² - 5) ⇒ x³ - 5x - 9x² + 45 (False)

Learn more about Polynomial here:

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Start with

[tex]-2z+10+7z=16z+7[/tex]

Simplify the left hand side by summing like terms (the one involving z):

[tex]5z+10 = 16z+7[/tex]

Subtract 5z from both sides:

[tex]10 = 11z+7[/tex]

Subtract 7 from both sides

[tex]3 = 11z[/tex]

Divide both sides by 11:

[tex]z = \dfrac{3}{11}[/tex]

The equation has one solution and the solution is z = 3/11.

Simplification of an equation is the process of writing an equation in the most efficient and compact form without affecting the value of the original equation.

For the given situation,

The equation is -2z+10+7z=16z+7

The equation can be simplified as

⇒ [tex]-2z+10+7z=16z+7[/tex]

⇒ [tex]-2z+7z-16z=7-10[/tex]

⇒ [tex]-11z=-3[/tex]

⇒ [tex]z=\frac{-3}{-11}[/tex]

⇒ [tex]z=\frac{3}{11}[/tex]

Hence we can conclude that the equation has one solution and the solution is z = 3/11.

Learn more about simplification of an equation here

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Answer:

8 : 343

Step-by-step explanation:

Given 2 similar figures

ratio of sides = a : b, then

ratio of volumes = a³ : b³

Here the ratio of edges = 2 : 7, hence

ratio of volumes = 2³ : 7³ = 8 : 343

Answer:

36

Step-by-step explanation:

–12i × 3i

Multiply the numbers

-12*3 = -36

Multiply the imaginary number

i*i= i^2

We know i^2 = -1

-36 * -1 = 36

Answer:

Step-by-step explanation:

[tex]i=\sqrt{-1}\to i^2=(\sqrt{-1})^2=-1\\\\-12i\times3i=(-12)(3)i^2=(-36)(-1)=36[/tex]

Answer:

[tex]\large\boxed{(2x-1)(x+4)=2x^2+7x-4}[/tex]

Step-by-step explanation:

[tex](2x-1)(x+4)\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(2x)(x)+(2x)(4)+(-1)(x)+(-1)(4)\\\\=2x^2+8x-x-4\qquad\text{combine like terms}\\\\=2x^2+(8x-x)-4\\\\=2x^2+7x-4[/tex]

Hello There!

Your answer is the last option r*n^2

I plugged in the values for each of these dilations.

Answer:

- 77

Step-by-step explanation:

To evaluate, substitute x = 4 into g(x) then substitute the value obtained into f(x).

g(4) = 4² + 3 = 16 + 3 = 19

f(19) = (- 4 × 19) - 1 = - 76 - 1 = - 77

ANSWER

[tex]37.53units[/tex]

EXPLANATION

From the given right angle triangle the known angle is 47°

The side length which is x units is opposite to the known angle.

We also know a side length 35 units which is adjacent to the given angle.

We use the tangent ratio to obtain,

[tex] \tan(47 \degree) = \frac{opposite}{adjacent} [/tex]

[tex]\tan(47 \degree) = \frac{x}{35} [/tex]

[tex]x = 35\tan(47 \degree) = 37.53 \: units[/tex]

Answer:

x = 37.53 units

Step-by-step explanation:

Points to remember

Trigonometric ratios

Sin θ  = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

From the figure we can see a right angled triangle with one angle is 47° and adjacent  side length of that angle is 35

To find the value of x

From the figure we can write,

Tan 47 =  Opposite side/Adjacent side

 = x/35

x = 35 * Tan 47

 = 37.53 units

Answer:

65

Sorry if im wrong

All of the above.

To check if an ordered pair is a solution to the inequality, plug in the ordered pair into the inequality and see if the inequality checks out.

[tex]y<x+12[/tex]

(-2,5)

[tex]5<-2+12[/tex]

[tex]5<10[/tex]

So this ordered pair works.

(0,1)

[tex]1<0+12[/tex]

[tex]1<12[/tex]

So this ordered pair works as well.

(15,0)

[tex]0<15+12[/tex]

[tex]0<27[/tex]

So this ordered pair works.

(-5,0)

[tex]0<-5+12[/tex]

[tex]0<7[/tex]

So this ordered pair works as well.

Answer:

(b) 240

Step-by-step explanation:

First, we use the Pythagorean formula using the given side lengths to find x. Then we use x to find the side lengths. Then we add the side lengths to find the perimeter.

Pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

We see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. The only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

Replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

Answer:

Yea its table 1

Step-by-step explanation:

Answer:

The answer is the first table, or Table 1.

Step-by-step explanation:

Happy to help! c:

Answer: Could you list the choices?

Answer:

x=17

Step-by-step explanation:

Distributive property: A(B+C)=AB+AC

Expand.

3(x+11)=3x+33

5x-1=3x+33

Add by 1 from both sides of equation.

5x-1+1=3x+33+1

Simplify.

5x=3x+34

Subtract by 3x from both sides of equation.

5x-3x=3x+34-3x

Simplify.

2x=34

Divide by 2 from both sides of equation.

2x/2=34/2

Simplify, to find the answer.

34/2=17

x=17 is the correct answer.

I hope this helps you, and have a wonderful day!

Answer:

x=17

Step-by-step explanation:

5x-1=3x+33

5x-3x=33+1

2x=34

x=34/2

x=17

just 1 solution

2b < 10

b < 5

How to draw it:

1. Draw a hollow point on number "5"

2. Draw a small vertical line on the top of the point.

3. Draw a long honrizontal line from that vertical line to the left to the end, and add an arrow.

First divide 2 to both sides to isolate b. Since 2 is being multiplied by b, division (the opposite of multiplication) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.

2b ÷ 2 < 10 ÷ 2

1b < 5

b < 5

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

b < 5

aka b is less then five

This means that the graph will have an empty circle and the arrow will go to the left of 5.

The graph is in the image below:

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

3√2

Step-by-step explanation:

√18 = √9 x √2 = 3√2

Start by making a factor tree for 18.

18 factors as 6 x 3 and 6 factors as 2 x 3.

Look for pairs of factors that are the same.

In this case, the 3's match up.

So a 3 will come out of the radical.

Whatever does not pair up stays inside.

In this case, the 2 goes inside.

So our answer is 3√2.

Answer: B. Capital Gain

Step-by-step explanation:

Answer:

C. 11

Step-by-step explanation:

Evaluate 2(x + 1) - 3 when x = 6.

2(x + 1) - 3 <== substitute 6 for x

2(6 + 1) - 3 <== distribute 2

2(6) + 2(1) - 3

12 + 2 - 3 <== add and subtract

14 - 3

11 <== answer

Hope this helps!

Hey there!

2(x + 1) - 3

= 2(6 + 1) - 3

= 2(7) - 3

= 14 - 3

= 11

OR

2(x + 1) - 3

= 2(6 + 1) - 3

= 2(6) + 2(1) - 3

= 12 + 2 - 3

= 14 - 3

= 11

Therefore, your answer is: 11

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

There is a standard cost just for renting the car.

Let the daily cost = x

Let the addon be = z The add on is the amount they charge just to give you the keys and do the paper work. It might include insurance.

y = z + 4x

y = 180

z = ??

x = 4

y = 325

z = ??

x = 9

Equation 1: 180 = z + 4x

Equation 2:325 = z + 9x

Subtract (1) from (2)

325 = z + 9x

180 = z + 4x                         Subract

145 = 5x                               Divide by 5

145/5 = 5x/5

x = 29

What you have found is the daily cost. Now you have to find the fixed cost.

y = 29x + z

180 = 29*4 + z

180 = 116 + z                  Subtract 116 from both sides

180 - 116 = z

z = 64

Answer: Part A

y = 29x + 64

Part B

f(x) = 29x + 64

Part C

So what are the intervals?

Vertically each square is worth:

Horizontally: each square is worth.

How is the y axis labeled?

How is the x axis labeled? [e

Graph the points by letting

x = 2 days

x = 4 days

x = 6 days

I'm including the graph. You should be able to answer it just by looking at the graph. No single answer will be wrong. There are all sorts of ways of setting up the axis.

Answer: third option.

Step-by-step explanation:

You know that the height of the smaller cylinder is 1 cm and the height of the  larger cylinder is 3 cm, then you can find the volume ratio. This  is:

[tex]Volume\ ratio=(\frac{1\ cm}{3\ cm})^3\\\\Volume\ ratio=\frac{1}{27}[/tex]

Knowing that the volume of the larger cylinder is 2,106 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.

Therefore:

[tex]V_{smaller}=\frac{1}{27}(2,106\ cm^3)\\\\V_{smaller}=78\ cm^3[/tex]

ANSWER

The correct answer is C

EXPLANATION

We have that, the smaller cylinder has height 1 cm and the larger cylinder has height 3cm.

The scale factor of similarity is

[tex]k = \frac{1}{3} [/tex]

That's if the smaller cylinder is the image.

The volume of the larger cylinder is 2106 cm³.

To find the volume of the smaller cylinder, we multiply the volume of the larger cylinder by k³

[tex]( { \frac{1}{3} })^{3} \times 2106 {cm}^{3} [/tex]

[tex]{ \frac{1}{27} } \times 2106 = 78 {cm}^{3} [/tex]

Answer:

7 7/12

Step-by-step explanation:

Find the amount of rolls in all that were donated:

60 x 12 = 720.

The total amount used is 679. Subtract 679 from 720:

720 - 629 = 91.

Find the amount per dozen. Divide 91 with 12:

91/12 = 7 7/12

7 7/12 is your answer.

~

The local Youth Baseball League used 56 dozen rolls with 7 extra rolls for a total of 679 hot dogs, which is expressed as 56 7/12 dozen.

The local Youth Baseball League served a total of 679 hot dogs using rolls from the grocery store.

If a dozen represents 12 items, we need to calculate how many dozens of rolls were used in this circumstance.

Since 679 hot dogs were served and each dozen contains 12 rolls, we can divide 679 by 12 to find the number of dozens.

Dividing 679 by 12, we get:

679 ÷ 12 = 56 dozens with a remainder of 7.

Therefore, 56 dozen rolls were fully used, with an additional 7 rolls from another dozen.

To express this in mixed number form, it would be 56 7⁄12 dozen rolls.

Answer: You can simply find out the percentage of the calories from the sugar with this formula :

165/250 x 100%  

You will find out that the percentage would be 66 %

hope this helps!

Step-by-step explanation:

Answer:

( 212 - 0 )/ ( 100 - 32 ) = 212 / 68 = 3.11 ;

Step-by-step explanation:

Let m = slope

m = (delta y)/(delta x)

m = (212 - 32)/(0 - 100)

m = 180/(-100)

m = -180/100

You can reduce -180/100 to the lowest term. I'll let you do that.

Answer:

(f+g)(x) = 3x^2 + x + 1

Answer:

x = -60

Step-by-step explanation:

1.4(2x+3) = 0.9(3x-2)

(1.4)(2x) + (1.4)(3) = 0.9(3x) - 0.9(2)

2.8x + 4.2 = 2.7x - 1.8

2.8x - 2.7x = -1.8 -4.2

0.1x = -6

x = -60

Answer:

x = - 60

Step-by-step explanation:

1.4(2x+3) = 0.9(3x-2)                 Remove the brackets

2.8x + 4.2 = 2.7x - 1.8               Subtract 4.2 from both sides

2.8x +4.2-4.2 = 2.7x - 1.8- 4.2

2.8x = 2.7x - 6                           Subtract 2.7x from both sides

2.8x-2.7x = - 6

0.1x = - 6                                    Divide by 0.1

0.1x/0.1 = - 6/0.1

x = - 60  

Answer:

see below

Step-by-step explanation:

x + 7/5 = 10

Subtract 7/5 from each side

x+7/5 -7/5 = 10 -7/5

x  = 10-7/5

Get a common denominator

x = 50/5 - 7/5

x = 43/5

As a mixed number

x = 8  3/5

Or if the equation was

(x+7)/5 = 10

Multiply by 5

(x+7)/5 *5 = 10*5

x+7 = 50

Subtract 7 from each side

x+7-7 = 50-7

x = 43

Answer:

x = 43/5

Step-by-step explanation:

Subtract 7/5 from both sides.

x + 7/5 - 7/5 = 10 - 7/5

x= 43/5

The temp of Chicago is 30 degrees.

15 degree MORE than TWICE the temp of Chicago. 75-15=60/2. Hope this helps.

Answer:

2x + 15 = 75

Step-by-step explanation:

2 represents the twice, the x represents the unknown answer (Chicago), the + 15 is when it says florida is 15 degrees warmer

Answer:

c

Step-by-step explanation:

In matrix form, the system is

[tex]\begin{bmatrix}1&2&-1\\1&2&1\\-1&-1&2\end{bmatrix}\begin{bmatrix}x_1\\x_2\\x_3\end{bmatrix}=\begin{bmatrix}-4\\2\\6\end{bmatrix}[/tex]

Solving this "using matrices" is a bit ambiguous but brings to mind two standard methods.

Compute the inverse of the coefficient matrix using the formula

[tex]\mathbf A^{-1}=\dfrac1{\det\mathbf A}\mathbf C^\top[/tex]

where [tex]\mathbf A[/tex] is the coefficient matrix, [tex]\det\mathbf A[/tex] is its determinant, [tex]\mathbf C[/tex] is the cofactor matrix, and [tex]\top[/tex] denotes the matrix transpose.

We compute the determinant by a Laplace expansion along the first column:

[tex]\det\mathbf A=\begin{vmatrix}1&2&-1\\1&2&1\\-1&-1&2\end{vmatrix}[/tex]

[tex]\det\mathbf A=\begin{vmatrix}2&1\\-1&2\end{vmatrix}-\begin{vmatrix}2&-1\\-1&2\end{vmatrix}-\begin{vmatrix}2&-1\\2&1\end{vmatrix}[/tex]

[tex]\det\mathbf A=5-3-4=-2[/tex]

The cofactor matrix is

[tex]\mathbf C=\begin{bmatrix}5&-3&1\\-3&1&-1\\4&-2&0\end{bmatrix}\implies\mathbf C^\top=\begin{bmatrix}5&-3&4\\-3&1&-2\\1&-1&0\end{bmatrix}[/tex]

which makes the inverse

[tex]\mathbf A^{-1}=\begin{bmatrix}-5/2&3/2&-2\\3/2&-1/2&1\\-1/2&1/2&0\end{bmatrix}[/tex]

Finally,

[tex]\begin{bmatrix}x_1\\x_2\\x_3\end{bmatrix}=\mathbf A^{-1}\begin{bmatrix}-4\\2\\6\end{bmatrix}\implies\boxed{x_1=1,x_2=-1,x_3=3}[/tex]

Take the augmented matrix

[tex]\begin{bmatrix}1&2&-1&-4\\1&2&1&2\\-1&-1&2&6\end{bmatrix}[/tex]

Subtract row 1 from row 2, and -(row 1) from row 3:

[tex]\begin{bmatrix}1&2&-1&-4\\0&0&2&6\\0&1&1&2\end{bmatrix}[/tex]

Multiply row 2 by 1/2:

[tex]\begin{bmatrix}1&2&-1&-4\\0&0&1&3\\0&1&1&2\end{bmatrix}[/tex]

The second row tells us that

[tex]x_3=3[/tex]

Then in the third row,

[tex]x_2+x_3=2\implies x_2=-1[/tex]

Then in the first row,

[tex]x_1+2x_2-x_3=-4\implies x_1=1[/tex]

Answer:

1

-1

3

Step-by-step explanation:

j did it on edge

To find the perimeter of a rectangle you can multiply the length by 2 and the width by 2, or you can add the four sides together.

The wrong equation is w + 3w = 90 because it only has one width and one length, which would be half the total perimeter.

Final answer:

The equation that does not correctly represent the width w of Sanjay's rectangular garden given the total fence length and length-width relationship is w + 3w = 90, as it simplifies to 4w = 90, which is not the correct equation for this context.

Explanation:

The question asks to identify which equation does not correctly represent the width w of Sanjay's rectangular garden, given that the total length of the fence is 90 meters and that the length l of the garden is three times its width w. We know the perimeter P of a rectangle is given by P = 2l + 2w, where l is the length and w is the width.

We can substitute l = 3w into the perimeter formula to get P = 2(3w) + 2w, which simplifies to P = 6w + 2w or P = 8w. Given that P = 90, the correct equation is 8w = 90. Now, let's examine the provided equations:

w + 3w = 90 simplifies to 4w = 90.

w + 3w + w + 3w = 90 simplifies to 8w = 90, which is the correct equation.

2 · w + 2 · 3w = 90 simplifies to 2w + 6w = 90 which simplifies to 8w = 90, which is also correct.

2 · (3w + w) = 90 simplifies to 2 · 4w = 90 which simplifies to 8w = 90, which is again correct.

Thus, the equation that does not give the correct value for w is w + 3w = 90.