An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

Answer:

[tex]6a^3+45b[/tex]

Step-by-step explanation:

[tex]2a\times a\times 3a+b\times 45[/tex]

[tex]2a\times 1a\times 3a+b\times 45[/tex]

[tex]2\times 1\times 3 \times a \times a \times a+b\times 45[/tex]

[tex]6a^3+b \times45[/tex]

[tex]=6a^3+45b[/tex]

Answer:

6a^3 + 45b

Step-by-step explanation:

=2a × a × 3a + b × 45

=2a × 1a × 3a + b × 45

=2 × 1 × 3 × a × a × a + b × 45

=6a^3 + b × 45

= 6a^3 + 45b

Answer:

x< -8

Step-by-step explanation:

To solve the inequality, we must get x isolated.

-1/2x>4

We have to perform the inverse operation to both sides. x is being multiplied by -1/2. The inverse of multiplication is division. Divide both sides by -1/2.

-1/2x / -1/2 > 4/ -1/2

When dividing by fraction, you can also multiply by the reciprocal.

To find the reciprocal, flip the numerator and the denominator.

-1/2–> -2/1

-2/1 *-1/2x > 4* -2/1

x> 4* -2/1

When multiplying or dividing by a negative number in an inequality, you must flip the inequality sign.

x < 4* -2/1

x < 4*-2

x< -8

Answer:

5x^2 + 10x

Step-by-step explanation:

Area = Width x Height

Area = (5x)(x+2)

Use distributive property

5x^2 + 10x

Answer:

A = 5x^2 + 10x

Hope this helps!

Edit: I did not copy hazeemmajid604's answer.. we just posted it at the same time.

Unfortunatly brainly does not provide me with graphics support.

First thing to realise is that we are dealing with inequality which essentially means that the solution will be an interval or more specifically a possibly constrained set of value.

Here is the inequality:

[tex]

350 > 125 + 15r

[/tex]

If we subtract 125 and then divide by 15 on both sides we get:

[tex]

r > 15

[/tex]

This notation essentialy means that inequality is true for any r smaller than 15. We can write that as r being in some set of numbers that represents the possibilites:

[tex]r\in\{14,13,12,\dots,-\infty\}[/tex]

In interval notation that is:

[tex]r\in(-\infty,15)[/tex]

Answer:

14

Step-by-step explanation:

look at the other answer as the person is taking a very long time to write it

Answer: radius = 14.01 m

Step-by-step explanation:

Circumference = 2πr

88 = 2πr

r = 88/2π = 14.01m

Step-by-step explanation:

I think A

I hope it will help

Answer:

p: 42

a: 82.16

Step-by-step explanation:

For perimeter, add all the sides together

For area, multiple the longer side by the shorter side

3.142*4.5²=63.6255

Answer=63.63

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

Answer:

To eliminate y- terms

Multiply equ(1) by 3 and equ(2) by -4

To eliminate y- terms

Multiply (1) by 3 and (2) by -5

Step-by-step explanation:

5x - 4y = 28 (1)

3x - 3y = 30 (2)

To eliminate y- terms

Multiply equ(1) by 3 and equ(2) by -4

15x-12y=84

-12x+12y= -120

Add equ (3) and (4)

3x=84-120

3x=-36

x=-36/3

= -12

x=-12

To eliminate x- terms

5x-4y=28

3x-3y=30

Multiply (1) by 3 and (2) by -5

15x-12y=84

-15x+15y=-150

Add the new equation

3y= -66

y= -22

Answer:

103.8

Step-by-step explanation:

Length of diagonal of a cube is given by the formula:

[tex]d = side \times \sqrt{3} \\ \\ \therefore \: d = 60 \times \sqrt{3} \\ \\ \therefore \: d = 60 \times 1.73 \\ \\ \therefore \: d = 103.8 \: units[/tex]

The length of the diagonal of the cube is 103.9 units.

What is a cube?

A cube is a three dimensional figure or object which has all the side with equal length.

The length of each side of the cube = a = 60 units.

Therefore, the length of the diagonal of the cube = d = a[tex]\sqrt{3}[/tex] = 60[tex]\sqrt{3}[/tex] units = 103.9 units.

Learn more about a cube here: https://brainly.com/question/21270976

#Tag #SPJ2

Answer:

See explanation

Step-by-step explanation:

Line A

gradient = 4

x-intercept = -1

y-intercept = 4

Line B

gradient = -3

x-intercept = -1

y-intercept = -3

y + 8x = - 72

x-intercept = -9

y-intercept = -72

Answer:  

m<1 = 51

m<2 = 34

m<3 = 95

m<4 = 38

m<5 = 47

m<6 = 74

m<7 = 59

Step-by-step explanation: because to get angle 1 you take 180 (because its is a straight line) and subtract the angle 129 giving you m<1 witch is 51. the second one is 180 - (m<1 + 95) =m<2 witch is 34 so m<2 = 34. third is the angle 95 because the lines that intersect give equal opposite angles so m<3 = 95. Four is 180 - (m<3 + 47) =m<4 witch is 38. fifth is opposite angle so it is 47. sixth is m<5 +m<6 + m<7 = 180 so m<5 is 47 and we can find m>7 by subtracting from 180 the angle 121 giving us m<7 = 59 so we will add m<5 and m<7 and subtract from 180 giving us m<6 witch is 74.    

Answer:

[tex]-\frac{16}{17}\\-0.94117[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\left(8\right)}}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\cdot \:8}}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}=\frac{17}{32}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}\\2\left(9+3\right)-4-3=17\\2\left(9+3\right)-4-3\\2\left(9+3\right)=24\\2\left(9+3\right)\\\mathrm{Add\:the\:numbers:}\:9+3=12\\=2\cdot \:12\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:12=24\\=24-4-3[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:24-4-3=17\\=\frac{17}{4\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:8=32\\=\frac{17}{32}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{\frac{1}{2}}{\frac{17}{32}}\\\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\\=-\frac{1\cdot \:32}{2\cdot \:17}\\Refine\\=-\frac{32}{2\cdot \:17}\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:17=34\\=-\frac{32}{34}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=-\frac{16}{17}\\\mathrm{Decimal:\quad }\:-0.94117[/tex]

Answer:

[tex]25:35[/tex]

Step-by-step explanation:

[tex]\frac{60}{5+7}[/tex]

[tex]\frac{60}{12}[/tex]

[tex]=5[/tex]

[tex]5:7[/tex]

[tex]5 \times 5 :7 \times 5[/tex]

[tex]25:35[/tex]

Answer:

i) 2x² + 4x + 7x + 14

= 2x² + 11x + 14

ii) 2x² - 5x - 12x + 30

= 2x² - 17x + 30

Answer:

t= -105

Step-by-step explanation:

To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-1/15t=7

t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.

-1/15t/-1/15=7/ -1/15

t=7/ -1/15

Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.

To find the reciprocal, flip the numerator (top number) and denominator (bottom number).

-1/15--flip--> -15/1=-15

Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.

t= 7* -15

t=-105

Let's check out solution. Plug -105 back in for t in the original equation.

-1/15t=7

-1/15*-105=7

7=7

Both sides are the same, so we know that t=-105.

Answer:

t=-105

Step-by-step explanation:

[tex]-\frac{1}{15} t =7[/tex]

What we need to do here is to isolate t.

Let's multiply both sides by -15.

[tex]-\frac{1}{15}t * -15 = 1t[/tex]

7*-15= -105

t=-105

Step-by-step explanation:

work is shown and pictured

Answer:

-5/3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.

5x-1=x+3

5x=x+4

4x=4

x=1

Hope this helps!

Answer:

60

Step-by-step explanation:

60 times 2 is 120 plus 24 is 144

Answer:

see below

Step-by-step explanation:

g(x) = (x² - 2 * 1/2 x) - 6

      = (x - 0.5)² - 0.25 - 6

      = 1(x - 0.5)² - 6.25

Answer:

The triangle's area is 12 square units.

Step-by-step explanation:

We start by drawing the requested points A = (-4, -3) and B = (0, -3), which we notice are located horizontally on the line of y = -3 and separated 4 units from each other (see red dots in the attached image).

Then we look for a point over the line y = 3 that is equidistant from points A and B (so we place it at the point (-2, 3)) and name it "C".

Now, the triangle ABC defined by the three points has base = 4 units, and height = 6 units (from the line y = -3 to the line y = 3).

Then recall that the area of a triangle is defined by the product of the triangle's base times its height, divided by two:

[tex]Area=\frac{base\,*\,height}{2} \\Area=\frac{4\,*\,6}{2} \\Area = 12[/tex]

So the triangle's area is 12 square units.

Answer:

y = [tex]\frac{4}{3}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{4}[/tex] x - 3 ← is in slope- intercept form

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

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex]

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = [tex]\frac{4}{3}[/tex] x + 1 ← equation of perpendicular line

Answer:

200g of sugar, 600g of flour, 400g of butter

Step-by-step explanation:

50g sugar = 15 biscuits

3 x 50g = flour --) 150g = flour

2 x 50g = butter --) 100g = butter

60/15 = 4; 4 times as much

4 x 50g = 200g of sugar

4 x 150g = 600g of flour

4 x 100g = 400g of butter

Answer:

b

Step-by-step explanation:

Because y increases by a factor of 2 every time x goes up by 1, the opposite happens when x decreases by 1. This means that when x = 0, y = 5 so the answer is b.

Applying the points and finding the equation, it is found that point (0,5) is also on the graph, option b.

The exponential equation has the following format:

[tex]y = ab^x[/tex]

Point (1,10) means that when [tex]x = 1, y = 10[/tex], thus:

[tex]ab = 10[/tex]

Point (2,20) means that when [tex]x = 2, y = 20[/tex], thus:

[tex]ab^2 = 20[/tex]

From the first equation:

[tex]a = \frac{10}{b}[/tex]

Replacing on the second:

[tex]\frac{10}{b}b^2 = 20[/tex]

[tex]10b = 20[/tex]

[tex]b = \frac{20}{10}[/tex]

[tex]b = 2[/tex]

So

[tex]a = \frac{10}{b} = \frac{10}{2} = 5[/tex]

Then, the equation is:

[tex]y = 5(2)^x[/tex]

When [tex]x = 0, y = 5(2)^0 = 5[/tex], thus point (0,5) is also on the graph, which means that option b is correct.

A similar problem is given at https://brainly.com/question/14773454

Which question are you talking about? I mean that why is there no attachment / image of your question? How do we know what is the question?So could you pls complete your question? :)

Answer:

(1, - 12 )

Step-by-step explanation:

Given the graph of f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) - 4 represents a shift down of 4 units, that is

(1, - -8 ) → (1, - 8 - 4 ) → (1, - 12 )

Answer:

5026.55

Step-by-step explanation:

A=πr2=π·402≈5026.54825ft²

Answer:

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