Question 1:
Your goal this year is to earn a B or better in Algebra class.
If you do, your parents said they would give you $200.
Write an inequality to represent the grades you can earn
and receive money from your parents for it. Then explain
the graph for the inequality. Hint: Remember you cannot
earn higher than a 100 in any class.

Answer:

Parameter

Step-by-step explanation:

A statistic is a piece of data we derive from analyzing the data from a sample, a subset of a larger population. A parameter is derived from analyzing that population. Here, we would call the mean of the sample - 4 - a statistic, and the mean of the population - 4.3 - a parameter.

Answer:

Because -4 is 4 units away from 0.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: (a) 8 : 15 (b) 8 : 7

Step-by-step explanation: all marbles is 8+7 = 15

ratio of blue marbles to ALL marbles

8 : 15

ratio of blue marbles to red

8 : 7

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm², hence:

Area of larger region = 7 * 490 cm² = 3430 cm²

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

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Answer: 3 hours

Step-by-step explanation:

Bottle = 3.6 liters / 3600 milliliters

Rate = 20 ml a minute

3600 / 20 = 180 minutes

60 minutes = 1 hour

180 / 60 = 3 hours

Using a system of equations, it is found that they expect to sell 175 adult tickets and 350 student tickets.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

They expect that twice as many students as adults will attend, hence:

s = 2a.

Their goal is to earn $1,500 from ticket sales, hence:

10a + 5s = 1500.

10a + 5(2a) = 1500.

20a = 1500.

a = 1500/20.

a = 175.

s = 2a = 2 x 175 = 350.

They expect to sell 175 adult tickets and 350 student tickets.

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Answer:

x = 4.55

Step-by-step explanation:

Tan(75) = 17/x

3.73 = 17/x

x3.73 =17

x = 4.55

Step-by-step explanation:

that kind of wording is always misleading.

please give my regards and comments to your teacher.

a square root has ALWAYS 2 solutions : a positive AND a negative one.

in that sense the negative solution to a square root is NOT an extraneous solution.

only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.

so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.

so,

x + 4 = sqrt(x + 10)

since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.

x = -1

-1 + 4 = sqrt(-1 + 10)

3 = sqrt(9) = 3 (actually, it is ±3)

so, x = -1 is a real solution.

x = -6

-6 + 4 = sqrt(-6 + 10)

-2 = sqrt(4) = 2 (actually, it is ±2)

so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),

x = -6 is an extraneous solution.

therefore, the third answer (c) is the "correct" answer.

but actually, formally, the second answer (b) is the truly correct answer.

Answer:

Step-by-step explanation:

x + 3 = -x - 1

2x + 3 = -1

2x = -4

x = -2

y = -2 + 3

y = 1

(-2, 1)

answer is A

Answer:

Below in bold.

Step-by-step explanation:

x^2 + y^2 - 8x + 12y + 40 = 0

x^2 - 8x + y^2 + 12y = -40

Complete the square on the x and y terms:-

(x - 4)^2 - 16 + ( y + 6)^2 - 36 = -40

(x - 4)^2 + (y + 6)^2 = -40 + 16 + 36

(x - 4)^2 + (y + 6)^2 = 12

So the centre is at (4, -6) and the radius is √12.

Answer:

The circle is centered at (4,-6) and has a radius of √12.

Step-by-step explanation:

The standard form for the circle equation is:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

You have:

[tex]x^2+y^2-8x+12y+40=0[/tex]

First complete the square for the 'x' terms:

[tex](x^2-8x+40)+y^2+12y=0[/tex]

[tex](x^2-8x+16-16+40)+y^2+12y=0[/tex]

[tex](x^2-8x+16)+y^2+12y+24=0[/tex]

[tex](x-4)^2+y^2+12y+24=0[/tex]

The 'x' terms are now in standard form. Work on the 'y' terms by completing the square once again:

[tex](x-4)^2+(y^2+12y+36-36+24)=0[/tex]

[tex](x-4)^2+(y^2+12y+36)-12=0[/tex]

[tex](x-4)^2+(y+6)^2-12=0[/tex]

Add the 12 to the other side:

[tex](x-4)^2+(y+6)^2=12[/tex]

The circle is centered at x = 4, y = -6, and has a radius of √12.

Answer:

V = 2143.57

Step-by-step explanation:

To find the volume of a sphere you need to use this formula:

[tex]V = \frac{4}{3}\pi r^{3}[/tex]

r = radius

Solve:

You need the radius from the diameter. Divide 16/2 which is

8.

[tex]V = \frac{4}{3}(3.14) 8^{3}[/tex]

V = 2143.57

The product and the sum of the functions will be 3x² - 6x - 24 and 4x + 2. The value of the function (f - g) at x = 4 is negative 18.

In mathematics, functions are everywhere and are necessary for constructing physical connections. A function is a statement, rule, or law that establishes the connection between two variables.

The functions are given below.

f(x) = x - 4

g(x) = 3x + 6

Then the product of the functions will be

(f × g)(x) = (x - 4)(3x + 6)

(f × g)(x) = 3x² -12x + 6x - 24

(f × g)(x) = 3x² - 6x - 24

Then the sum of the functions will be

(f + g)(x) = x - 4 + 3x + 6

(f + g)(x) = 4x + 2

Then the difference in the functions at x = 4 will be

(f - g)(4) = (x - 4) - (3x + 6)

(f - g)(4) = x - 4 - 3x - 6

(f - g)(4) = -2x - 10

(f - g)(4) = -2 (4) - 10

(f - g)(4) = -8 -10

(f - g)(4) = -18

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The solutions to the equations are (1.702,4.7) and (-4.7,-1.7).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The two given equations ( x + 3 ) and ( 13 ( x+5)(x-1) intersects at the ponits (1.702,4.7) and (-4.7,-1.7).

The graph of the above equations is attached with an answer.

Therefore the solutions to the equations are (1.702,4.7) and (-4.7,-1.7).

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Answer:

Geary street :D

they intersect here

click on the photo. it's not a link it's a screenshot of where they intersect

Answer:

1.5 gallons

Step-by-step explanation:

(3/4) × (2 gallons) = 1.5 gallons

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer: -17/4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr = πd ( d is the diameter and d = 2r ) , then

C = πd = 3.14 × 26 = 81.64 in

answer: 15

steps:

i means √-1

but in this problem treat

i like x

(7-i) + (5 + 3i) - (-3 + 2i) =

(7-i) + (5 + 3i) +3 - 2i

7-i + 5 + 3i +3 - 2i =

7-i + 5 + 3i +3 - 2i

7+5+3-i+3i-2i

7+5+3+2i-2i

7+5+3 =

15

Answer:

( 4u + a ) + ( y + 6 )

Step-by-step explanation:

4u(y+6) + a(y+6) ...

The answer is ( 4u + a ) + ( y + 6 )

Answer:

D.

Step-by-step explanation:

it should be the sales tax because you pay a little bit more.

Answer :

Explaination :

Here we are given with two equations,

So in order to calculate the number of hours (h). We would simply substitute the value of f in first equation. (i.e., keeping them equal)

>> 7h + 20 = 10h + 5

>> 10h - 7h = 20 - 5

>> 3h = 15

>> h = 15 / 3

>> h = 5

[tex]y=f(x)= \dfrac x 3 \\\\\text{Replace x with y and then solve for y,}\\\\~~~~x = \dfrac y 3\\\\\implies y = 3x \\\\\implies f^{-1}(x) =3x[/tex]

Answer:

12/13

Step-by-step explanation:

36/39

Divide by 3

12/13

Answer:

y=x-7

Step-by-step explanation:

Rise over run

-6-(-7)

---------- = 0

-4-(-4)

Point Slope form

y+7=0(x+4)

Y=MX + B

y=x-7

The equation of the line passing through the points (−4,−7) and (−4,−6) in the form of a will be a + 4 = 0.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The equation of the line passing through the points (−4,−7) and (−4,−6) will be

y + 6 = [(−6 + 7) / (−4 + 4)] (x + 4)

y + 6 = (1/0)(x + 4)

x + 4 = 0

Put x = a, then the equation will be

x + 4 = 0

a + 4 = 0

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Answer:

4 weeks

Step-by-step explanation:

Given information:

Given equation:

[tex]\sf b = 85 + w(10 + 8)[/tex]

(where b is the balance and w is the number of weeks)

To find the number of it will take to have a balance of $150, substitute b = $150 into the given equation and solve for w:

[tex]\implies \sf 85+w(10+8)=150[/tex]

[tex]\implies \sf 85+18w=150[/tex]

[tex]\implies \sf 85+18w-85=150-85[/tex]

[tex]\implies \sf 18w=65[/tex]

[tex]\implies \sf \dfrac{18w}{18}=\dfrac{65}{8}[/tex]

[tex]\implies \sf w=3.6111...[/tex]

[tex]\implies \sf w=4\:weeks[/tex]

Therefore, there will be $150 in the bank account 4 weeks from now.

Answer:

Ok hello my name is Christopher and I have already done this and the answer is (6,-7)

Step-by-step explanation:

The area of the training field to the nearest whole number is 8719 msq. meter

The given field is made up of a rectangle and 2 semi circles. The formula for calculating the area of the field is:

Area of the field = area of circle + area of rectangle

Area of field = 3.14(32)² + (86)(64)
Area of field = 3215.36 + 5504

Area of the field = 8719 msq. meter

Hence the area of the training field to the nearest whole number is 8719 msq. meter

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Answer:

56.31 degrees

Step-by-step explanation:

6 = opposite and 4 = adjacent

Tan = opposite over adjacent

Tan(theta)=6/4

=56.30993247