Imothy evaluated the expression using x = 3 and y = –4. xy-2 3x2y−4 1. (1 3 )x−1y2 2. (1 3 )3−1(−4)2 3. (1 3 )(1 31 )(−4)2 4. (1 3 )(1 3 )(−16) 5. −16 9 Analyze Timothy's steps. Is he correct? If not, why not? Yes, he is correct. No, he needed to add the exponents when he simplified the powers of the same base. No, he needed to multiply 3 and –1 instead of creating a positive exponent in a fraction. No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.

Answer:

[tex]48m^2-72mn[/tex]

Step-by-step explanation:

We need to solve [tex](8m-3n)^2 - (4m+3n)^2[/tex]

We know that,

[tex](a+b)^2=a^2+b^2+2ab\\\\(a-b)^2=a^2+b^2-2ab[/tex]

Using the above formula,

[tex](8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn[/tex]

So, the final answer is [tex]48m^2-72mn[/tex].

Answer:

[tex]\displaystyle \log_3 5=\frac{\ln 5}{\ln 3}[/tex]

Step-by-step explanation:

We want to write:

[tex]\log_3 5[/tex]

Using natural logarithms.

We can use the following property of logarithms:

[tex]\displaystyle \log_b a=\frac{\log_c a}{\log_c b}[/tex]

Hence, if we let c be equal to e:

[tex]\displaystyle \log_b a= \frac{\log _e a}{\log _e b} = \frac{\ln a}{\ln b}[/tex]

Then by letting a = 5 and b = 3:

[tex]\displaystyle \log_3 5=\frac{\ln 5}{\ln 3}[/tex]

Answer:

59

Step-by-step explanation:

The total amount of angles in a triangle with equal 180 degress

Answer:

Step-by-step explanation:

83° + 38° + x° = 180°

121 + x = 180

x = 59

Answer:

Length = 12

Step-by-step explanation:

L × W = Area

84 / 7 = 12

12 × 7 = 84

The required length of the given rectangular garden is given as 12 feet.

Given that,
A rectangular garden has an area of 84 square feet. If the width of the park is 7 feet, what is length is to be determined.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

here,
Let the measure of the length of the rectangular garden be l,
Since,
Area of the rectangle  = length × width

Area of the rectangle = l × 7
l × 7 = 84
l = 84 / 7
l = 12 feet

Thus, the required length of the given rectangular garden is given as 12 feet.

learn more about rectangles here:

brainly.com/question/15019502

#SPJ2

Answer:

2

Step-by-step explanation:

Slope is the change in y over the change in x

Slope = (9 - -6)/( -8 -1)

Slope = 15/-9

Slope = -15/9

Simlipy:

Slope = -5/3

Answer:

Step-by-step explanation:

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

= {9 -(-6)}/{(-8)-1}

= 15/-9

= -1.66

Answer:

x = 58

[tex] m\angle 4 = 116\degree [/tex]

Step-by-step explanation:

[tex] m\angle 2 = m\angle 6..... (1)\\(alternate \: \angle s) \\\\

m\angle 5 + m\angle 6 = 180\degree \\(linear \: pair\: \angle s) \\\\

\therefore m\angle 6 = 180\degree-m\angle 5..... (2)\\\\[/tex]

From equations (1) & (2)

[tex] m\angle 2 =180\degree-m\angle 5\\\\

\therefore (2x)\degree =180\degree-(x+6)\degree \\\\

\therefore (2x)\degree +(x+6)\degree =180\degree\\\\

\therefore (2x+x+6) \degree =180\degree\\\\

\therefore (3x+6) \degree =180\degree\\\\

3x + 6 = 180\\\\

3x = 180-6\\\\

3x = 174\\\\

x = \frac{174}{3} \\\\

\huge \purple {\boxed {x = 58}} \\\\

\because m\angle 4 = m\angle 2\\(corresponding \: \angle s) \\\\

\therefore m\angle 4 = (2x)\degree \\\\

\therefore m\angle 4 = (2\times 58)\degree \\\\

\huge \orange {\boxed {\therefore m\angle 4 = 116\degree}} [/tex]

Answer:

33

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

The cost per pound is $2.3.

Given that Bo is buying candy by the pound. For every 10 pounds, he pays $23.

We need to find the cost per pound,

So, we see that,

For 10 pounds he is paying $23,

We need to find the unit rate, so divide both by 10,

10/10 pound = $23/10

1 pound = $2.3

Hence the cost per pound is $2.3.

Learn more about unit rate, click;

https://brainly.com/question/29180656

#SPJ2

Answer:

3

Step-by-step explanation:

I just is manhghgfthfff

Answer: $1.50 per rose

Step-by-step explanation: You add 38 and 45, because you want to find the total of the roses she sold. 38 + 45 = 83. Then you have to divide the total price by how many roses she sold. So, 124.50 / 83 = 1.5. So, it's $1.50 per rose.

Answer:

D

Step-by-step explanation:

Answer:

x > -7 hope this helps

Step-by-step explanation:

Answer:

niwebfasfbjsdfb

Step-by-step explanation:

jsdfhsdbfjhadsjbdsfhb

Answer:

hmmmmmmmmmm thats a tuff one

Answer:

-99

Step-by-step explanation:

First, let's find an equation to use to make things easier.

So, as we can see, the numbers go down 3 every time and we start at 27, so, the first term is 27, that means that we need to find the number before 27, so we add 3 to 27 to get 30.

We can put the equation using y = mx + b, since that is the most appropriate formula to use.

y = -3x + 30

y = -3(1) + 30

y = -3 + 30

y = 27

y = -3x + 30

y = -3(2) + 30

y = -6 + 30

y = 24

So, this is a good equation to use. Now, we substitute 43 as x

y = -3x + 30

y = -3(43) + 30

y = -129 + 30

y = -99

Answer:

5 hours

Step-by-step explanation:

737mi / 11hr = 67mph

335mi / 67mph = 5hr

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

Here are two ways to solve

Method 1

First determine her speed if she goes 737 miles in 11 hours.

distance = rate*time

d = r*t

737 = r*11

737 = 11r

11r = 737

r = 737/11

r = 67

Her speed is 67 mph. Use this to find how long it would take if she drove 335 miles.

d = r*t

d/r = t

t = d/r

t = 335/67

t = 5 hours is the time it takes to drive 335 miles assuming Martina drives at the same speed.

---------------------------------------------------------------------

Method 2

We can use a proportion to solve

(distance 1)/(time 1) = (distance 2)/(time 2)

(737 miles)/(11 hours) = (335 miles)/(x hours)

737/11 = 335/x

737*x = 335*11 .... cross multiply

737x = 3685

x = 3685/737 ..... divide both sides by 737

x = 5

We get the same answer of 5 hours.

Answer:

12

Step-by-step explanation:

Answer:

He does qualify for the discount, his total will be $43.45

Step-by-step explanation:

9514 1404 393

Answer:

  1.5 cm

Step-by-step explanation:

The midpoint of OB is 9/2 = 4.5 cm from O

The midpoint of OA is 12/2 = 6.0 cm from O

Since O is not on AB, we must have B on OA, so the distance between midpoints is ...

  6 cm -4.5 cm = 1.5 cm . . . . distance between midpoints

Answer: Angle X

Reason: For any triangle, the largest angle is always opposite the longest side.

∠X is the largest measure on the triangle XYZ.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The angle opposite to the largest side is the largest measure.

So,

XY = 6 and opposite angle = ∠Z

YZ = 9 and opposite angle = ∠X

XZ = 8 and opposite angle = ∠Y

We see that,

YZ > XZ > XY

So,

∠X > ∠Y > ∠Z

Thus,

∠X is the largest measure on the triangle XYZ.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ5

Answer:

[tex]f\left(2,3,1\right)=\bold{14}[/tex]

Step-by-step explanation:

Given the function:

[tex]f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}[/tex]

To find:

The value of [tex]f(2, 3, 1)[/tex] = ?

Solution:

[tex]f(2, 3, 1)[/tex] means the values of [tex]x, y\ and\ z[/tex] as:

[tex]x=2\\y=3\\z=1[/tex]

Let us put the given values in the given function and let us solve for it:

[tex]\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}[/tex]

Therefore, the answer is:

[tex]f\left(2,3,1\right)=\bold{14}[/tex]

The better deal

Would be the lowest cost per ounce.

Divide total cost by total ounces and compare them.

7.20/60 = 0.12 per ounce.

8.25/75 = 0.11 per ounce.

75 ounces for 8.25 is the better deal

Answer:

a=5

Step-by-step explanation:

18-2a=8

-18     -18

-2a=-10

/-2  /-2

a=5

Answer:

Step-Smallest angle = 40

by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                      7x = 180 - 19

                                      7x = 161               {Divide both sides by 7}

                                         x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Answer:

y=5/2+3

Step-by-step explanation:

Answer: y≤4x+3 and y≤-3x-5

Step-by-step explanation:

The slope of the first line is 4. The slope of (-1,-1) and (0,3) is 4. And the line passes through 3, so the y-intercept is 3.

The slope of the second line is 3. The slope of (-3,4) and (-1,-2) is -3. And the line passes through -5, so the y-intercept of the second line is -5

Answer:

36 : 4

Step-by-step explanation:

40 divided into ratio 9:1 is like 40 / (9 + 1) multiplied to both sides of 9:1

40 / (9 + 1) = 4, and if you multiply both sides by 4, you get 36 : 4

Answer:

I think the answer is 36

Step-by-step explanation:

You add 9 and 1 to get 10 and then you divide 40 by 10 and get 4 and then you multiple 9 and 4 to get 36.

Answer: 2.204

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

-3x + 24 = 39

-3x = 15

x = -5

................................