Find the equation of the linear function x 0 1 2 3 4 y -4 -2 0 2 4

Answer:

2

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

737mi / 11hr = 67mph

335mi / 67mph = 5hr

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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.

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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:

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:

D

Step-by-step explanation:

Answer:

x > -7 hope this helps

Step-by-step explanation:

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:

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

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:

12

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

I just is manhghgfthfff

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:

a=5

Step-by-step explanation:

18-2a=8

-18     -18

-2a=-10

/-2  /-2

a=5

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.

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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:

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

Step-by-step explanation:

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for y: ...

Step 2: Substitute that equation into the other equation, and solve for x. ...

Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

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.

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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: 2.204

Step-by-step explanation:

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].

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:

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:

[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]

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.

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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:

x = -5

Step-by-step explanation:

-3x + 24 = 39

-3x = 15

x = -5

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

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]