Use the number line to plot –3, 1, and 3.

Which statements are true

Select all that apply.
–3 > 1
–3 = 3
1 < 3
–3 < 1

The intercept reveals that the first loan amount was $1,560.00.

Every month, Michael's debt to his father drops by 290.

acc to our question-

The amount Michael owes is given by :

y = - 290x +18,560

x = number of months ; y = amount owed

Amount owed after 3 months :

Put x = 3 in the equation :

y= - 290(3) +18,560

y = - 870 + 18560

y = 17690

According to the general form of a linear equation :

y = mx + c

Where, m = slope ; c = intercept

The slope = - 290 ; Intercept = 18560

Slope is the change in y per unit change in x ; The slope means that amount owed, y decreases by 290 per month

The intercept shows that the original amount borrowed is 18560.

Hence,The intercept reveals that the first loan amount was $1,560.00.

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The Claire's principal balance at the beginning of November is 32516.

Given that,

Vehicle purchase by Claire Russell. Her interest rate for the month of November was 210 percent at 7 3/4%. Employ 360 days. When calculating, do not round the numerator; instead, round your result to the nearest dollar.

We have to find how much was left on Claire's principal at the start of November.

We know that,

Principal= Interest / time× rate of interest

Here,

Interest is 210

Time is 30/360

Rate of interest is 0.0775

Principal = 210/(30/360)×0.0775

Principal= 210/ 0.00645833

Principal =32516

Therefore, The Claire's principal balance at the beginning of November is 32516.

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Answer:

a little confused, but it should just be a horizontal line on -4 because of 4 times negative 1 = -4

Step-by-step explanation:

The equations that can be used are y(y - 5) = 750, y² - 5y = 750, and (y + 25)(y – 30) = 0.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Length = y

Width = y - 5

Area = 750

The area of a rectangle is written as,

Length x Width = Area

y x (y - 5) = 750

y² - 5y = 750

y² - 5y - 750 = 0

(y + 25)(y – 30) = 0

The equations that can be used are y(y - 5) = 750, y² - 5y = 750, and (y + 25)(y – 30) = 0.

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Answer:

Step-by-step explanation: First since the cookies are 36.44 dollars and the total spent is 102.44, use 102.44-36.44= 66 dollars

66/11=6 cupcake boxes

6 cupcake boxes + 1 cookie box = 7 boxes in total

Answer:

n=90/80

Step-by-step explanation:

you make n the subject of the formular

William needs to detail his parents at least 12 times to buy the golf club.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations.

The symbols we use in Inequality Expressions are

Not equal ' ≠ '  

Greater than  ' > '

Less than ' < '

Less than or equal  ' ≤ '

Greater than or equal ' ≥'

Here we have

William plans to buy the new Callaway Rogue for at least $ 550

The amount that William saved = $ 325

The amount he earns each time he details his parents = $ 20

Here we don't know how many times he detailed his parents,

So represent it with a variable x

After detailing x times the amount he earned will equal $ 20x

The total amount that William will have = $ 325 + $ 20x

William wants at least $550

Therefore,

The inequality that will represent the above situation is

=> 325 + 20x ≥ 550 ------(1)

Now solve the above inequality to get the value of x

=> 65 + 4x ≥ 110

=> 4x ≥ 45

=> x ≥ 11.25

Here we can say 11.25 times so x = 12 times

Therefore,

William needs to detail his parents at least 12 times to buy the golf club.

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Answer:

Step-by-step explanation:

domain: 1,2,3,4

Range: 8,6,4,2

D=-2

[tex]a_{n}=a_{1}+(n-1)-2[/tex] formula

Answer: -4, -1, 1, 3, 3.9, 3.99, 3.999, 4

Step-by-step explanation:

That inequality symbol means less than or equal to. So that includes 4 and any number that precedes it on the number line.

Answer: Estimate : 1000    Exact : 942.83

Step-by-step explanation:

The estimate is 1000 because 96.8 is rounded to 100 and 9.74 is rounded to 10, so 100 times 10 is 1000. If you wanted the exact, then the exact is 942.83200, If you simplify this total, then the final answer is 942.83.

An equation of the line in point-slope form that contains the point (-2, 5) and has a slope of 1/3 is y - 5 = 1/3(x + 2).

In Mathematics, the point-slope form can be defined as a type of equation that is typically used when the slope of a straight line and one of the points on this line is given (known).

Mathematically, the point-slope form of a straight line is given by this equation:

y - y₁ = m(x - x₁)

Where:

Substituting the given parameters into the formula, we have;

y - y₁ = m(x - x₁)

y - 5 = 1/3(x - (-2))

y - 5 = 1/3(x + 2)

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Answer:

need more information to answer

The area that is watered as the sprinkler rotates 90° is 196,250.

What is the area of the circular plot?

The space a circle takes up in a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = πr², where r is the circle's radius, is the formula for calculating a circle's surface area.

Here, we have

Diameter = 1000ft

Radius = 500

Then, we apply the area of a circle and get

= (90/360)× π×(500)²

= 62,500 × π

= 196,250

Hence, the area that is watered as the sprinkler rotates 90° is 196,250.

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The equation of the line is y = (-2/3)x + 8/3

What is a perpendicular line?

Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular line can be used to graphically depict the condition of perpendicularity. It can be defined between any pair of lines, any pair of planes, or any pair of lines and planes.

The slope-intercept form of a line is written in the form:

y = mx + b

where:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Here, We have

y= 3/2x + 1/2 that passes through the point (-2,4)​

But we do not know the value of b.

We can do this by substituting the point(-2,4), into the equation and we get

y = mx + b

4 = (-2/3)(-2) + b

b = 8/3

Now that you know all your values, rewrite the equation in slope-intercept form:

y = (-2/3)x + 8/3

Hence, the equation of the line is y = (-2/3)x + 8/3

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Answer:

x = -2.25

Step-by-step explanation:

To solve this we want to put the x alone on one side

Then by subtracting 6x from both sides

2x - 5 - 6x = 6x + 4 - 6x

- 4x - 5 =4

add 5 for both sides

- 4x - 5 + 5 = 4 + 5

- 4x = 9

Divide both sides by - 4

Then x = 9 / -4 = -2.25

So you only forget the negative sign

Glad to Help

Answer: x= - 9/4 or -2.25

Step-by-step explanation:

2x - 5 = 6x + 4(subtract 4 from the right side to move to the left side and subtract 2x from left side to move to right side)

-4 - 5 = 6x - 2x (now subtract these numbers as they have the same components)

-9 = 4x  (divide by 4 to get X alone)

-9/4 = x

The answer will be 0.33 using quadratic equation.

What is quadratic equation

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

The equation given 3k² + k -3=0

(3k-1)(k+3)=0

k =1/3

k=0.33

Hence the value of k is 0.33.

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Answer:

x=28

Step-by-step explanation:

angle b and angle c are the same measure because it is a iso triangle.

you know triangle sum is 180 so 3x+2(x+20)=180. simplify it to 5x=140

divide both sides by 5

x=28

Answer:

x = 28

Step-by-step explanation:

The triangle is isosceles, meaning that the two base angles (x + 20) are congruent. We can then create an equation that states: (x + 20) + (x + 20) + 3x = 180. Simplifying this, we get 5x + 40 = 180. We can then use reverse order of operations to solve it. Subtract 40 from both sides to get 5x = 140. We will then divide both sides by 5 to get x by itself, getting us the equation x = 28.

The equation of the transformed graph is y = -2|x| + 2

(graph attached)

Transformation is a term used in mathematics to refer to the movements made by objects.

information from the question

equation of the preimage f(x) = |x|

A graph showing the transformed image

The image show a reflection over x axis, the transformation rule for this is

Transformation rule (x, y) → (x, -y)

applying the rule to f(x) = |x| gives -f(x) = -|x|

followed by translation 2 units up, this achieved by Transformation rule

-f(x) → -f(x) + 2

Then a vertical stretch of 2 units,  transformation rule for vertical stretch is

-2f(x) → -2|x| + 2

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Step-by-step explanation:

you need to give us also some context.

because that sequence can be anything.

but I suspect you mean

4 : 5 = x : 480

0.8 = x / 480

x = 480 × 0.8 = 384

answer:

10

step-by-step explanation:

easy: 100 ÷ 10 = 10. you need 10

explanation: you need 100 (on the left side) to equal the right side. each weight on the right side weighs 10, but you don't know how many you need. use x for the unknown amount. now, you have:

100 = 10x. solve by dividing each side by 10.

10 = x. verify by doing 10 x 10 = 100

Answer: x=16

Step-by-step explanation: 18=2x-14

32=2x

x= 16

The equation 4y = -x is a direct variation and k = - 1 / 4.

The equation  3x = 2y - 7 is neither a direct variation nor a inverse variation.

Direct variation describes a simple relationship between two variables . We say y varies directly to x when it is represented as follows:

y = kx

where

Therefore,

4y =  - x

divide both sides of the equation by 4

4y / 4 = -x / 4

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

Therefore, the equation is direct variation and the value of k is - 1 / 4.

For two quantities with inverse variation, as one quantity increases, the other quantity decreases. Inverse variation is represented as follows:

y = k / x

Therefore, 3x = 2y - 7 is neither an inverse  nor a direct variation.

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The value of each term is

The length of the line ED = 45 units

The length of the line DF = 27 units

The length of the line EF = 36 units

Here we have to use the trigonometric function

sin θ = Opposite side / Hypotenuse

cos θ = Adjacent side / Hypotenuse

Substitute the value in the equation

sin D = Opposite side / Hypotenuse

= 36/45

= 4/5

sin E = Opposite side / Hypotenuse  

= 27/45

= 3/5

cos D = Adjacent side / Hypotenuse

= 27/45

= 3/5

cos E = Adjacent side / Hypotenuse

= 36/45

= 4/5

Hence, the value of each term is  

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For the given right angled triangle, the base of the triangle is 10 units and perpendicular side is 9 units then its side length x is equal to 13.45 units (nearest hundredth).

As given in the question,

Given right angled triangle,

Base of the triangle is equal to 10 units

Perpendicular side of a triangle is equal to 9 units

Side length 'x' is the hypotenuse of the right angled triangle.

Using Pythagoras theorem we get,

(Hypotenuse)² = ( Base)² + ( Perpendicular side)²

⇒ x² = (10)² + (9)²

⇒ x² = 100 + 81

⇒ x² = 181

⇒ x = √181

⇒ x = 13.4536...

⇒ x = 13.45 units ( nearest hundredth)  

Therefore, for the given right angled triangle, the base of the triangle is 10 units and perpendicular side is 9 units then its side length x is equal to 13.45 units (nearest hundredth).

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Answer:

Step-by-step explanation:

2x(x + 7)(x²+49) = 0

(apply the zero product)

x=0 or x+7 =0 or x² + 49 = 0

x+7 =0

x=-7

x² + 49 = 0

no real solution for this i think

Answer = x=0 or x=-7

The equations for early pay, deposit plus and daily pay is y = 110, y = 6x + 30 and y = 9x respectively.

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

Let y represent the total cost for swimming x numbers of days.

Early Pay: Pay $110.00 before Memorial Day; swim any number of days. Hence:

y = 110

Deposit Plus: $30.00 deposit plus $6.00 per day. Hence:

y = 6x + 30

Daily Pay: $9.00 per day. Hence:

y = 9x

The equation for early pay is y = 110

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Answer:

5/14

Step-by-step explanation:

they subtract 1/14th each time
(You cant simplify)

Answer:

[tex]y=12[/tex]

Step-by-step explanation:

The [tex]y[/tex]-axis has equation [tex]x=0[/tex], so the equation of a line perpendicular to the [tex]y[/tex]-axis would be of the form [tex]y=c[/tex].

The equation of this line given the point [tex](3,12)[/tex] is [tex]y=12[/tex].

1. The Cost of Ending Inventory and the Cost of Goods Sold under LIFO, FIFO, and Weighted-Average, are as follows:

                                      LIFO           FIFO      Weighted-Average

Ending inventory          $425          $691                $573

Cost of goods sold      $492          $226               $344

FIFO (First-in, First-out) assumes that the physical flow of goods sold follows the chronological order of acquisition.

LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.

The weighted-average method uses the average cost of goods to compute the ending inventory and the cost of goods sold.

LIFO:

Ending inventory = $425 ($917 - $492)

Cost of goods sold = $492 (12 x $20 + 12 x $21)

FIFO:

Ending inventory = $691 (9 x $11 + 17 x $20 + 12 x $21)

Cost of goods sold = $226 ($917 - $691)

Weighted Average:

Ending inventory = $573 (40 x $14.33)

Cost of goods sold = $344 (24 x $14.33)

                                   Units  Unit Cost    Total Cost

Jan. 1      Beg. Inventory  20     $8.00           $160

May 10   Purchases          15     $11.00           $165

June 30 Purchases          17    $20.00         $340

Dec. 10  Purchases          12    $21.00          $252

Total                                64                          $917

Units sold                       24

Ending inventory           40 (64 - 24)

Average cost = $14.33 ($917/64)

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The graph of the linear function w(x) = 3/5x + 2 is coordinates or points   (0,2), (1,2.6) (2,3.2) (3,3.8)

What is a linear function?

A linear function is a straight line on an x-y coordinate.

Formula

w(x) = 3/5x +2 in each coordinate I have a x so for example 3.

I would rewrite this as 3/5(3) + 2

w(x) = 3/5x +2

w(3) = 3/5(3) + 2

y = 1.8 + 2

y = 3.8