Chris and Sam earn money shoveling snow, as described below. The amount of money Chris earns can be modeled by the equation y=8.25x, where the y is the total amount of money, in dollars, earned in x hours. The table below shows the relationship between the total amount of money earned,y, in dollars, and the total amount on time worked, x, in hours, for Sam.

[tex]y=-\dfrac 14 x~~....(i)\\\\x+2y = 4~~...(ii)\\\\\text{Substitute}~~ y= -\dfrac 14 x ~~ \text{in equation (ii):}\\ \\ \\x+2\left(-\dfrac 14 x \right) = 4\\\\\implies 4x -2x = 16~~~~;\left[\text{Multiply both sides by 4} \right]\\\\\implies 2x = 16\\\\\implies x =\dfrac{16}2 \\ \\\implies x =8\\\\\text{Substitute x = 8 in equation (i);}\\\\y= -\dfrac 14 \cdot 8 = -2\\\\\text{Hence,}~ (x,y) = (8,-2)[/tex]

Answer:

[tex]y = - \frac{1 }{4} x \\ [/tex]

[tex]x + 2y = 4 \\ [/tex]

[tex]x + 2( - \frac{1}{4} x) = 4 \\ [/tex]

[tex]x + ( - \frac{2}{4} x) = 4 \\ [/tex]

[tex]x - \frac{1}{2} x = 4 \\ [/tex]

[tex] \frac{2x - 1x}{2} = 4 \\ [/tex]

[tex]2x - x = 8[/tex]

[tex]x = 8[/tex]

[tex]x + 2y = 4 \\ [/tex]

[tex]8 + 2y = 4[/tex]

[tex]2y = 4 - 8[/tex]

[tex]2y = - 4[/tex]

[tex]y = - 2[/tex]

Answer:

A

Step-by-step explanation:

m( n+ p)

it's also known as m × n + p

Answer:

B

Step-by-step explanation:

if it's one plant it's b, if it means more than one then probably D

Answer:

D) Volume of a rectangular prism

Step-by-step explanation:

Answer:

-25

Step-by-step explanation:

Answer:

224 ÷ 4 = 56

Step-by-step explanation:

14 × 4 = 56

56 × 4 = 224

224 ÷ 4 = 56

Answer:

S₁₁ = 88573

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{3}{1}[/tex] = 3 , then

S₁₁ = [tex]\frac{1(3^{11}-1) }{3-1}[/tex] = [tex]\frac{1}{2}[/tex] (177147 - 1) = [tex]\frac{1}{2}[/tex] × 177146 = 88573

Answer:

The X-coordinates will decrease by 6 units because, anytime you move something to the left on a coordinate plane you are decreasing the x value

Answer:

The x-coordinates will decrease by 6.

Step-by-step explanation:

So when you look at a graph, the left side has smaller numbers than the right side because as you go down it becomes negative and the right means it is going positive. So if you are moving to the left you are getting smaller so you are decreasing. The other options with y-axis is not true because the y-axis is vertical.

Answer:

m∠Z=146

m∠X=34

Step-by-step explanation:

Since this is an Isosceles Trapezoid, we can assume that m∠Z=m∠Y, because an isosceles trapezoid has two pairs of congruent angles, therefore m∠Z=146.

Since angle Y and Angle X are same side interior and line ZY║WX, we can assume that m∠X+m∠Y=180. Substitute values:

[tex]146+X=180\\Y=34[/tex]

Step-by-step explanation:

q3) if the given sequence is 1, 2, 4, 8, 16..., then it is not arithmetic one. The common ratio is 2: 16/8=8/4=4/2=2/1.

q4) if it is given -34; -64; -94; -124; -154..., then it is arithmetic sequence, where the difference is -64--34=-94--64=-124--94=-154--124= -30

The awse is b) :B...... ur welcum

Answer:

B

Step-by-step explanation:

if you divide the 2/88 you should get a price of 44. So Mechanic B charges $44 while Mechanic A charges $36. Subtract 44-36 and get 8. Since Mechanic B charges more, it would give you the answer listed in B.

The equation satisfies option B, Mechanic B charges $8 more per hour then mechanic A.

a collection of all points whose coordinates satisfy a given relation (such as a function) a diagram that represents the variation of a variable in comparison to that of one or more other variables, such as a series of one or more points, lines, line segments, curves, or areas

The fundamental subject of graph theory is graphs.

Given the Equation for cost charged by Mechanic A

y = 36x

where y = total cost and x = hours worked

graph shows the  total cost charged by Mechanic B

from graph we the coordinates (0, 0) and (2, 88)

when x = 0, y = 0 and when x = 2,  y  =  88

the equation satisfy the condition is

y = 44x

cost for one hour for Mechanic A

y = 36x (x = 1)

y = $36

cost for one hour for Mechanic B

y = 44x (x = 1)

y = $44

Mechanic B is $8 more than Mechanic A

Hence Mechanic B charges $8 more per hour then mechanic A.

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Answer:

21300

Step-by-step explanation:

120∑n=13n−4

Split the summation into smaller summations that fit the summation rules.

120∑n=1 3n−4=3120∑n=1 n+120∑n=1 −4

Evaluate

3120∑n=1 n.

21780

Evaluate  

120∑n=1 −4 −480

Add the results of the summations.

21780−480

Subtract 480 from 21780.

21300

Answer:

w - 10

Step-by-step explanation:

Substract 10 from W --> w - 10

The correct solution of the given quadratic equation was found using the formula.

The given equation is:

[tex]9x+2=8x^{2} +6x[/tex]

[tex]8x^{2} +6x-9x-2=0[/tex]

[tex]8x^{2} -3x-2=0[/tex]....(1)

An equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].

We can solve equation (1) by the formula

[tex]x=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]

So, [tex]x=\frac{3+-\sqrt{(-3)^{2} -4(8)(-2)} }{2(8)}[/tex]

[tex]x=\frac{-3+-\sqrt{73} }{16}[/tex]

Hence, the correct solution of the given quadratic equation was found using the formula.

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Answer:

The triangle which is congruent to triangle QRS is YXZ

Answer:

see below

Step-by-step explanation:

Move R side to the L side to get

2y^2 -4y +3  = 0

Use quadratic formula to find y = 1 +- i sqrt (2) / 2

a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have

[tex]\displaystyle \frac{dy}{dx} = 3x^2 + 4x + k \implies y = f(0) + \int_0^x (3t^2+4t+k) \, dt[/tex]

Evaluate the integral to solve for y :

[tex]\displaystyle y = -2 + \int_0^x (3t^2+4t+k) \, dt[/tex]

[tex]\displaystyle y = -2 + (t^3+2t^2+kt)\bigg|_0^x[/tex]

[tex]\displaystyle y = x^3+2x^2+kx - 2[/tex]

Use the other known value, f(2) = 18, to solve for k :

[tex]18 = 2^3 + 2\times2^2+2k - 2 \implies \boxed{k = 2}[/tex]

Then the curve C has equation

[tex]\boxed{y = x^3 + 2x^2 + 2x - 2}[/tex]

b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:

[tex]\dfrac{dy}{dx}\bigg|_{x=a} = 3a^2 + 4a + 2[/tex]

The slope of the given tangent line [tex]y=x-2[/tex] is 1. Solve for a :

[tex]3a^2 + 4a + 2 = 1 \implies 3a^2 + 4a + 1 = (3a+1)(a+1)=0 \implies a = -\dfrac13 \text{ or }a = -1[/tex]

so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).

Decide which of these points is correct:

[tex]x - 2 = x^3 + 2x^2 + 2x - 2 \implies x^3 + 2x^2 + x = x(x+1)^2=0 \implies x=0 \text{ or } x = -1[/tex]

So, the point of contact between the tangent line and C is (-1, -3).

Answer:

The answer is 20

Step-by-step explanation:

There's two ways in which you can do this. The first one, and the simpliest one is finding the derivative of the equation P(x). After finding the derivative, set the dy/dx to be zero (so set the derivative to be zero). Then solve for x. This should give you the point at which there's no increase or decrease in the value of P, thus meaning the point at which its the maximum.

The second method is simply ploting a graph and finding the highest point.

Answer:

6 options

Step-by-step explanation:

hes got 3 event options

and 2 time slots so

3 times 2 is 6

Answer:

pounds and ounces

Randomly pick 25 fish from the entire pond and weigh each of them

Step-by-step explanation:

Centimeters, feet and inches measure length, not weight.

To find the average weight of fish living in a large pond, the scientist will randomly pick 25 fish from all over the pond. Next, each fish will be weighed. The weight of all 25 fish will be added and the total will be divided by 25. This will give you the average weight of a fish living in the large pond.

Answer:

Step-by-step explanation:

y(y+2)=y²-6

y²+2y=y²-6

2y=-6

y=-3

2[x-(1-3x)]=3(x+1)

2[x-1+3x]=3x+3

2(4x-1)=3x+3

8x-2=3x+3

8x-3x=3+2

5x=5

x=1

slope intercept form: y = mx + b    [ where m is slope and b is y-intercept ]

[tex]\dashrightarrow \ \sf9x + 3y = 27[/tex]

[tex]\dashrightarrow \ \sf 3y = 27 -9x[/tex]

[tex]\dashrightarrow \ \sf y = \dfrac{27 -9x}{3}[/tex]

[tex]\dashrightarrow \ \sf y = -3x + 9[/tex]

Here, the "slope is -3"  and  "y-intercept is 9"

Slope intercept form:-

Now convert

Cancel 3

The inequality of the expression is a greater than inequality, and the required inequality is 2x + y > 34

From the question, we have the following representations:

A field goal has 2 points, while a foul shot has 1 point.

So, the number of points in a game is:

Score = 2x + y

The team is behind by 34 points.

So, the team must attain above 34 points

This means that the score must be greater than 34.

So, the inequality is:

2x + y > 34

See attachment for the graph of the inequality

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Answer:

1 hotdog is $3.5.

1 drink is $2.

Step-by-step explanation:

18.50= 3x+4y(times 5)

25.50=5x+4y(times -3)

92.5=15x+20x

-76.5=-15x+-12y

16=-8y

2=y

18.50=3x+4(2)

10.50=3x+8

10.50=3x

3.5=x

Answer:

x=5

Step-by-step explanation:

6:5

x:4, so x =5

The side also looks a little bigger than 4.

Hope it Helps

Answer:

6

Step-by-step explanation:

[tex]h \sqrt{28 } \\ \sqrt{28} = \sqrt{4 \times 7} \\ \sqrt{28} = \sqrt{4} \times \sqrt{7} \\ 2 \sqrt{7} \\ 8 \sqrt{7} - 2 \sqrt{7} = 6 \sqrt{7} [/tex]

hope this helps :D have a good day

Answer: 50, 208 mm²

Step-by-step explanation:

    The lateral area is the surface area excluding the bottom, also known as the base. This means we will be solving for two rectangles and two triangles.

[The Rectangles]

    They are both congruent, so I will do the following;

A = 2(L * W)

A = 2(7 mm * 24 mm)

A = 2(168 mm)

A = 336 mm²

[The Triangles]

    The area of a triangle is [tex]\frac{B * H}{2}[/tex] However, they are both congruent. I will do the following;

A = B * H

A = 24 mm * 2,078 mm

A = 49,872 mm²

[The Total]

     Lastly, I will add them together.

336 mm² + 49,872 mm² = 50, 208 mm²

Answer:

Mean is all the numbers add up and divide how many number were there. The Median is to line up all in order and the middle on.

Step-by-step explanation:

Answer:

Mean =19.142857142857

Median =19.5

Step-by-step explanation:

Answer:

69 degrees

Step-by-step explanation:

See attached image.