Is 1+4(3x-10)-12x equal to -9?
And how do you get the answer?

Answer:   y > -1.5 which is the same as y > -3/2

==========================================================

Explanation:

As x goes off to negative infinity, the term 3^x gets closer to 0.

So the expression 0.5*(3^x - 3) approaches 0.5*(0-3) = 0.5*(-3) = -1.5 = -3/2

The y value will never actually get to -1.5 because 3^x never actually reaches 0. It only gets closer and closer.

So the range is the set of possible y outputs such that y > -1.5 or y > -3/2

This means the horizontal asymptote is y = -3/2 or y = -1.5 which is the horizontal "electric fence" of sorts that the function curve gets closer to, but never touches.

Answer:

38.60mm

Step-by-step explanation:

Step one:

Given data

We are given that the dimension of the triangles are length 23 mm and 31 mm

Let us assume that the triangle is a right angle triangle

Step two:

Applying the Pythagoras theorem we can find the third as

[tex]z^2= x^2+y^2\\\\z^2= 31^2+23^2\\\\z^2= 961+529\\\\z^2= 1490\\\\[/tex]

square both sides

z= √ 1490

z= 38.60mm

Hence a possible dimension of the third side is 38.60mm

Answer:

180

Step-by-step explanation:

Ans

$12.5/1 day

Step-by-step explanation:

Just cause

Answer:

a. -⅓

b. 3

c. y = 3x - 10

Step-by-step explanation:

a. Gradient of line AB:

A(1, 3), B(7, 1)

[tex] Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{7 - 1} = \frac{-2}{6} = -\frac{1}{3} [/tex]

Gradient (m) = -⅓

b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.

Thus, the negative reciprocal of -⅓ = 3

Gradient of the line perpendicular to line AB = 3

c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:

We can write the equation using the point-slope form equation, y - b = m(x - a), where,

(a, b) represents a point on the line, and,

m = gradient/slope

We know that the gradient/slope (m) = 3

Also, a point, (a, b) = (4, 2).

Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)

Thus:

y - 2 = 3(x - 4)

y - 2 = 3x - 12

Add 2 to both sides

y = 3x - 12 + 2

y = 3x - 10

Answer:

The answer is 30 :)

Step-by-step explanation:

I had this question on khan academy

have a good day and stay safe!

The value of expression at x = 3 is,

⇒ 30

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 6² + x - x²

Now, We can simplify as;

⇒ 6² + x - x²

⇒ 36 + x - x²

Put x = 3;

⇒ 36 + 3 - 3²

⇒ 36 + 3 - 9

⇒ 36 - 6

⇒ 30

Thus, The value of expression at x = 3 is,

⇒ 30

Learn more about the mathematical expression visit:

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Answer:

1/8 in.

Step-by-step explanation:

The amount of rain in the second half of the month is the difference between the two amounts of rain.

1/2 in. - 3/8 in. = 4/8 in. - 3/8 in. = 1/8 in.

Answer: 1/8 in.

Answer:

The answer is 1/8

Step-by-step explanation:

Can I get brainiest

Answer: If you're looking for the sum of the equation, it's 9.57.

If you're looking for a better way to add it. It's this. (1.7 + 5.3) + 2.57.

Step-by-step explanation: The reason for my answer is quite simple. Since 1.7 and 5.3 add up to 7, all you need to do is add 7 and 2.57. That way, it's much easier to get the answer 9.57

Hope this helped :)

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

a. The circumference of Track 1 is  376.8 feet.

b. The circumference of Track 2 is  533.8 feet.

c. . The circumference of Track 3 is  690.8 feet.

The circular space Driver’s Delight has of 150 feet radius will have a circumference of  471 feet.

The circumference is the distance around the circle and he formula to calculate is 2πr, where r is the radius.

Driver’s Delight has 3 circular tracks for go-carting.

Track 1 has a radius of 60 feet therefore the circumference of this circular track will be,

Track₁ circumference = (2πr).

= (2×3.14×60) feet.

= 376.8 feet.

Track 2 has a radius of 85 feet therefore the circumference of this circular track will be,

Track₂ circumference = (2πr).

= (2×3.14×85) feet.

= 533.8 feet.

Track 3 has a radius of 110 feet therefore the circumference of this track will be,

Track₃ circumference = (2πr).

= (2×3.14×110) feet.

= 690.8 feet.

They also have a circular space of 150 feet there the circumference of this circular space will also be (2πr). And we know Diameter = Twice of radius.

So, we just have to multiply the diameter by π which has an approximate value of 3.14.

So, the circumference of this circular space is

= 150×π feet.

= 150×3.14 feet.

= 471 feet.

learn more about circumference here :

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Answer:

6 packages B

7 packages A

Step-by-step explanation:

let the number of packages A be a and the number of packages B be b

Total number of packages is 13;

Thus;

a + b = 13 •••••(i)

Total package a cost is 18(a) = 18a

Total package b cost is 22(b) = 22b

Total of both is 258

18a + 22b = 258 •••••••(ii)

From i, a = 13-b

Put this in equation ii

18(13-b) + 22b = 258

234-18b + 22b = 258

4b = 258-234

4b = 24

b = 24/4 = 6

since;

a + b = 13

a + 6 = 13

a = 13-6

a = 7

Answer:

a

Step-by-step explanation:

irration minus rathional is a irrational number

Answer:

The line u and line v have no point of intersection because they are parallel lines

Step-by-step explanation:

The slope of a straight line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The slope of line u is (4 - (-8))/(5 - 9) = -3

The equation for line u is y - 4 = -3*(x - 5)

y = -3·x + 15 + 4 = 19 - 3·x

The slope for line v is (-7 - 2)/(7 - 4) = -3

The equation for the line v is y - 2 = -3*(x - 4)

∴ y = -3x + 12 + 2 = -3x + 14

y = 14 - 3·x

Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect

Answer:

The correct answer is A: Zero

Step-by-step explanation:

Answer:

The function is non-proportional.

Step-by-step explanation:

If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.

[tex]y=15x+10[/tex]

Plug 0 into the equation as x

[tex]y=15(0)+10\\y=10[/tex]

When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.

I hope this helps!

Answer:

pam

Step-by-step explanation:

you can make all fractions equivalent using a common denominator of 620 or change each to a decimal, then compare:

1/2 = .50

5/9 = .55

4/7 = .57

2/5 = .40

Answer:

1/3

Step-by-step explanation:

3/5 × 5/9 is 15/45 but simplified it is 1/3

Answer:

1/3

Step-by-step explanation:

3/5×5/9=?

      |

3/5×5/9= 15/45

      |

15/45 divided by 15= 1/3

      |

Therefore 3/5x5/9=1/3

Answer:

(a) the cost per pint = $4 per pint

(b) the number of pints per dollar = 0.25 pints per dollar

(c) the number of pints you can afford for $20.00 = 5 pints of raspberries

(d) the cost of 8 pints of raspberries = $32

Step-by-step explanation:

Given;

cost of 3 pints of raspberries = $12.00

(a) the cost per pint

[tex]= \frac{\$12}{3 \ pints} = \$4 \ \ per \ pints[/tex]

(b) the number of pints per dollar

[tex]= \frac{ 3 \ pints}{\$12 } = \frac{3 \times\frac{1}{12} }{12 \times\frac{1}{12} } = \frac{\frac{1}{4} \ pints }{1\$} = \frac{0.25 \ pints}{1 \$} = 0.25 \ pints \ per \ dollar[/tex]

(c) the number of pints you can afford for $20.00

= (0.25 pints per dollar) x ($20.00) = 5 pints of raspberries

(d) the cost of 8 pints of raspberries

= ($4 per pints) x (8 pints) = $32

Answer:

8

Step-by-step explanation:

(10)^2 - (6)^2 = 64

Square root 64 = 8

Answer:

I hope this makes sense, sorry for the lack of proofs.

Step-by-step explanation:

It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.

Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.

There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.

Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.

Answer:

85 is the answer

Step-by-step explanation:

byeeeeee

Answer:

The value of x is 5

Step-by-step explanation:

In the given triangle

∵ A segment joining two points lie on the two side

∵ This segment is parallel to the third side

∴ This segment divides the two sides into parts that have the same ratio

→ That means x over 2x - 3 equal to 10 over 14

∵ [tex]\frac{x}{2x-3}[/tex] = [tex]\frac{10}{14}[/tex]

→ By using cross multiplication

∴ 10 × (2x - 3) = x × 14

∴ 10(2x) - 10(3) = 14x

∴ 20x - 30 = 14x

→ Add 30 to both sides

∵ 20x - 30 + 30 = 14x + 30

∴ 20x = 14x + 30

→ Subtract 14x from both sides

∵ 20x - 14x = 14x - 14x + 30

∴ 6x = 30

→ Divide both sides by 6

∴ x = 5

∴ The value of x is 5

Answer:

x = 5

Hope This Helps Mate!

Answer:

Triangle Z

Step-by-step explanation:

If a triangle is a right angle triangle, it will follow the Pythagoras theorem.

By Pythagoras theorem,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

Options (1)

Side lengths of the triangle X: 8 cm, 13 cm, 5 cm

By Pythagoras theorem,

(13)² = 8² + 5²

169 = 64 + 25

169 = 69

False.

Option (2)

Side lengths of triangle Y: 14 cm, 30 cm, 17 cm

By Pythagoras theorem,

(30)² = (14)² + (13)²

900 = 196 + 169

900 = 365

False.

Option (3)

Side lengths of triangle Z: 26 cm, 10 cm, 24 cm

By Pythagoras theorem,

(26)² = (10)² + (24)²

676 = 100 + 576

676 = 676

True.

Therefore, triangle Z represents a right triangle.

Answer:

compound

Step-by-step explanation:

it uses a comma and the conjunction but. so it is seen to be a compound sentence

Answer:

12.4 miles

Step by Step Explanation:

You have to multiply 20 by 0.6213 then you get your answer. You can round it if you want.

Answer:

12.5

Step-by-step explanation:

I got the answer on Hegarty maths

hope its helpfully

Answer:

20,18,16,14,12,10,8,6,4,2

10,9,8,7,6,5,4,3,2,1

Step-by-step explanation:

Pattern A:

Rule : start with 20 and subtract 2

Pattern B:

Rule : Start with 10 and subtract 1

Pattern 1:

20 - 2 = 18

18 - 2 = 16

16 - 2 = 14

14 - 2 = 12

12 - 2 = 10

10 - 2 = 8

8 - 2 = 6

6 - 2 = 4

4 - 2 = 2

20,18,16,14,12,10,8,6,4,2

Pattern 2:

10 - 1 = 9

9 - 1 = 8

8 - 1 = 7

7 - 1 = 6

6 - 1 = 5

5 - 1 = 4

4 - 1 = 3

3 - 1 = 2

2 - 1 = 1

10,9,8,7,6,5,4,3,2,1

Answer:

The side length of the prints is approximately 34.785 inches.

Step-by-step explanation:

First, we have to calculate the area of the original oil painting ([tex]A[/tex]), measured in square inches, by the following formula:

[tex]A = l^{2}[/tex] (1)

Where [tex]l[/tex] is the length of the side, measured in inches.

And the length of the miniature is determine by means of reduction factor ([tex]k[/tex]), with no unit:

[tex]\frac{A}{k} = l'^{2}[/tex] (2)

If we know that [tex]l = 55\,in[/tex] and [tex]k = 2.5[/tex], then the side length of the miniatures is:

[tex]l' = \sqrt{\frac{l^{2}}{k} }[/tex]

[tex]l' = \frac{l}{\sqrt{k}}[/tex]

[tex]l' = \frac{55\,in}{\sqrt{2.5}}[/tex]

[tex]l' \approx 34.785\,in[/tex]

The side length of the prints is approximately 34.785 inches.

Answer:

(f + g)(x) = x² + 5x - 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² + 4x - 32

g(x) = x - 4

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

I believe the answer is

Yes, the points shown on the line would be part of y = 0.5x

Answer:

A

Step-by-step explanation:

Given that,

Length of a chord = 28 inches

Radius of the circle = 50 inches

To find,

The distance the chord from the center of the circle.

Solution,

Let the distance from the chord to the centre of circle is x.

It is denoted by OM.

Using Pythagoras theorem to find it.

[tex]50^2=28^2+x^2\\\\x=\sqrt{50^2-28^2} \\\\x=41.42\ \text{inches}[/tex]

So, the distance from the chord to the centre of circle 41.42 inches

Answer:

f(x)=2x²+24x+22

Step-by-step explanation:

.......

hope it helps