What is the equation of the line?
A. Y=1/2x-3
B. Y= -3x+1/2
C. Y=-3x+6
D. Y= 6x-3

Answer:

[tex]y = - \frac{1}{3} x + 2[/tex]

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

y= 3x +4

Since the given equation is already in the slope-intercept form, we can easily identify the slope of this line by looking at the coefficient of x.

slope= 3

The product of the slopes of perpendicular lines is -1. Let the slope of the perpendicular line be m.

m(3)= -1

Divide both sides by 3:

m= -⅓

y= -⅓x +c

Since the question does not specify the points the perpendicular line passes through, c can be any integer.

Thus, the equation of the perpendicular line could be y= -⅓x +2.

Answer:

$ 80.22

Step-by-step explanation

Assumed 20% tip is on the discounted meal.The cost of the meal is $78.65

The cost of the meal after discount (15%)is 78.65(1−0.15)≈$ 66.85

Tip (20%) is : 66.85⋅0.2$13.37

Total cost of the meal is

66.85+13.37≈$80.22 [Ans]

Answer:

bc...

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) x²  -x - 20 > 0

x² - 5x + 4x - 20 > 0

x( x - 5) + 4(x - 5) > 0

(x - 5)(x + 4) > 0

x - 5 > 0    ; x + 4> 0

x > 5         ; x  < -4

3)  x² + 9x + 14 > 0

x² + 7x + 2x + 14 > 0

x(x + 7) + 2(x + 7)  > 0

(x + 7) (x + 2) > 0

x < - 7  and x > -2

4) r² - 10r + 16 > 0

r² - 8r  -2r + 16 > 0

r(r - 8) - 2(r - 8) > 0

(r - 8)(r - 2) > 0

r < 2  ; r > 8

Answer: $24

Step-by-step explanation: 3 is half of 6 and if you gain $48 for washing 6 cars then half it half of 6 is 3 and half of $48 is $24

Answer:

m = 8

Step-by-step explanation:

-8 = -16 + m

Switch sides.

-16 + m = -8

Add 16 to both sides.

m = 8

Answer:

y= 1/3x - 2

Step-by-step explanation:

Answer:

8,576

Step-by-step explanation:

Add first.

688 + 7888 + 688 - 688

9264 - 688

= 8576

688 + 7.888 + 688 - 688 = ?

= 688 + 7.888 + 0

= 688 + 7.888

= 8.576✔

Step-by-step explanation:

[tex] = \frac{ |15 - 12| }{4} - | \frac{ - 21 + 9}{8} | [/tex]

[tex] = \frac{ |3| }{4} - \frac{ | - 12| }{ |8| } [/tex]

[tex] = \frac{3}{4} - \frac{12}{8} [/tex]

[tex] = \frac{3}{4} - \frac{6}{4} [/tex]

[tex] = - \frac{3}{4} [/tex]

Option → B

The simplified value of the Expression [tex]\(\left| \frac{(15 - 12)}{4} \right| \times \left| \frac{(-21 + 9)}{8} \right|\)[/tex] in fractional form is 9/8.

To simplify the expression: [tex]\(\left| \frac{(15 - 12)}{4} \right| \times \left| \frac{(-21 + 9)}{8} \right|\)[/tex]

Step 1: Perform the calculations inside the absolute value signs:

[tex]\(\left| \frac{3}{4} \right| \times \left| \frac{-12}{8} \right|\)[/tex]

Step 2: Simplify the fractions inside the absolute value signs:

[tex]\(\left| \dfrac{3}{4} \right| \times \left| \dfrac{-3}{2} \right|\)[/tex]

Step 3: Evaluate the absolute values of the fractions:

[tex]\(\left| \dfrac{3}{4} \right| = \dfrac{3}{4}\)[/tex]

This is because the absolute value of any positive number is itself

[tex]\(\left| \dfrac{-3}{2} \right| = \dfrac{3}{2}[/tex]

and, the absolute value of a negative number is the positive version of that number.

Step 4: Multiply the absolute values:

= 3/4 x 3/2

Step 5: Multiply the fractions:

= 9/8

So, the simplified expression is 9/8.

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Step-by-step explanation:

0.4+0.3=0.7

3-0.7

=2.3%

mark me brainliest pls!!

Answer:

8 pizzas for the party

Step-by-step explanation:

The Italian Kitchen Pizzeria charges $12.99

Budget of $115

How many pizzas to buy?

115 / 12.99 ≈ 8.853 pizzas

We can buy 8 pizzas. ( we do not have enough  money for a ninth )

Answer:

2×10^3 ans2000

Step-by-step explanation:

2.5×10^3 is 2.5×1000=2500

5000000/2500=2000

In scientific notation that would be 2×10^3

2+b <= 26

solving for b,

b<=24

Answer:

yes

Step-by-step explanation:

yes

Answer:

Let the length parallel to the house be y

let each of the other two equal sides be x

2x + y = 120

y = 120 - 2x

Area = xy

= x(120 - 2x) or -2x^2 + 120x

b) you want the vertex.

x of the vertex is -120/(-4) = 30

when x = 30

y = 60

Maximum area = xy = 1800 ft^2

The quadratic function that represents the area of the rectangular enclosure is  -2x² + 120x and x = 30 and y = 60 will make the area maximize.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's suppose the length parallel to the house is y

And the remaining side is x then,

Perimeter = x + x + y

2x + y = 120

y = 120 - 2x

The area of the rectangle = xy

Area = x(120 - 2x)

⇒ -2x² + 120x

To find the maximum first derivate of the function area with respect to x compare with zero.

d/dx(-2x² + 120x) = 0 ⇒ -4x + 120 = 0

x = 30 so y = 120 - 2(30) = 60

Hence "The quadratic function that represents the area of the rectangular enclosure is  -2x² + 120x and x = 30 and y = 60 will make the area maximize".

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Answer:

the one on the top right

Step-by-step explanation:

it multiplies by 6 and shows 3/4 of the all the columns shaded in

Answer:

16

Step-by-step explanation:

If you start with 8 and the common ratio is 2, all you would do is 8*2 which is 16. Hope this helps!!

Answer:

1st number: 37

2nd number: 22

Step-by-step explanation:

let n = 1st number

let n-15 = 2nd number

n+(n-15)=59

collect like terms: 2n-15=59

add 15 to both sides

2n=74

divide both sides by 2

n=37

n-15=22

Answer:

47.15 if it needs to be rounded to the nearest tenth it would be 47.2

Step-by-step explanation:

I hope this helps

The value of the expression is tan 30.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

We know that,

tan (x - y) = (tan x - tan y) / (1 + tanx tany)

So,

(tan 50 - tan 20)/(1 + tan 50 tan 20)

This can be written as,

= tan (50 - 20)

= tan 30

Thus,

The expression value is tan 30.

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Answer:

D

Step-by-step explanation:

Answer:

D. i

Step-by-step explanation:

When putting i to a power, there is a rule.

i¹ = i

i² = -1

i³ = -i

i⁴ = 1

And it repeats again, such as:

i⁵ = i

i⁶ = -1

And so forth.

This rule also applies to -i, but the values are slightly different:

(-i)¹ = -i

(-i)² = -1

(-i)³ = i

(-i)⁴ = 1

And that one keeps repeating such as

(-i)⁵ = -i

(-i)⁶ = -1

And so forth.

So to answer your question, (-i)³ = i.

Answer:

Our two formulas for each plan:

50 (base fee) + .80x (cost per mile) = y (total cost)

.90x (cost per mile) = y (total cost)

We want to find how many miles we have to drive, so solve for x. We're going to plug in y (from equation 2) into the value for y. This is the substitution method.

50+.80x=y

Plugin: 50+.80x = .90x

Add .90x to each side, subtract 50 from each side: .80x -.90x = -50

Simplify: -.10x = -50

Divide: x = -50/-.10 (two negatives make a positive)

x = 500

So this tells us that she has to drive 500 miles to make the plans equal. Let's verify this by plugging in the value we found for x.

499 miles, plan 2 is cheaper.

50 + .80(499) = 449.20

.90(499) = 449.1

500 miles, they are equal

50 + .80(500) = 450

.90(500) = 450

501 miles, plan 1 is cheaper

50 + .80(501) = 450.8

.90(501) = 450.9

Not my work.

Answer:

750mi

Step-by-step explanation:

x = how many miles

75+0.8x=0.9x

Move all terms containing x to the left side of the equation.

75−0.1x=0

Subtract 75 from both sides of the equation.

−0.1x=−75

Divide each term in −0.1x=−75 by −0.1 and simplify.

x=750

Answer:

$15

Step-by-step explanation:

90/6=15

Answer:

x= 82°

Step-by-step explanation:

According to the angle sum property, sum of all angle in a triangle is 180°

45°+53°+x= 180°

98°+x= 180°

x= 180-98

x= 82°

Answer:

It depends

Step-by-step explanation:

It depends on how many problems are in the test. If the test has a standard amount of ten questions, you can only miss one question if you want to get a solid 90%. If the test has twenty questions, you can miss two to get that 90%.

If you're going for an 80% (or B), you can miss two on a ten-question test and four on a twenty-question test.

Again, it all depends on the number of questions and what percentage you want to get on the test.

Answer:

1

Step-by-step explanation:

Answer:

Domain: (-∞, ∞)

 Range: (0,∞)

Step-by-step explanation:

Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. This function has addition on the exponent but not to the whole function so it does not change the asymptote. Its y - values remain between 0 and ∞. This is the range, the set of y values.

However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. This doesn't have it either.

The addition to 1 on the exponent shifts the function to the left but doesn't change the range.

In exponential functions, the x values are usually not affected and all are included in the function. Even though it shifts, the domain doesn't change either. Its domain is (-∞, ∞).

Domain: (-∞, ∞)

 Range: (0,∞)