-32=-4b
show work please

Complete question is;

Two separate bacteria populations grow each month and are represented by the functions f(x) = 3^(x) and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population?

A. Month 1

B. Month 2

C. Month 3.

D. Month 4

Answer:

Option D: Month 4

Step-by-step explanation:

We are given the functions;

f(x) = 3^(x)

And g(x) = 7x + 6

We want to find the month when f(x) > g(x)

Thus;

3^(x) > 7x + 6

For option A, month 1 means x = 1.thus;

LHS is 3¹ = 3

RHS = 7(1) + 6 = 13

Our LHS is not greater than RHS as the question demands, thus this option is not correct

For option B, month 2 means x = 2. thus;

LHS is 3² = 9

RHS = 7(2) + 6 = 20

Our LHS is not greater than RHS as the question demands, thus this option is not correct

For option C, month 3 means x = 3. thus;

LHS is 3³ = 27

RHS = 7(3) + 6 = 27

Our LHS IS equal to the RHS and not greater than RHS as the question demands, thus this option is not correct

For option D, month 4 means x = 4. thus;

LHS is 3⁴ = 81

RHS = 7(4) + 6 = 34

Our LHS is greater than RHS as the question demands, thus this option is correct

Answer:

(x-3)(x-5)

Step-by-step explanation:

Answer:

x = 3 or x= 5

Step-by-step explanation:

Δ = (-8)² - 4×15

   = 64- 60

   =4

and 4≥0

so x = (8 - √4 )÷2 = 3

or  x= (8 + √4 )÷2 = 5

so P(x) = (x-3) (x-5)

Answer:

C.

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

The percent of the compound that is made of uranium is calculated as:

(Number of ounces of uranium /Number of ounces of the compound)

× 100

Total amount of uranium in the compound weighs = 18 ounces

A compound is made up of various elements totaling = 90 ounces.

Hence:

= 18/90 × 100

= 1800/90

= 20%

Therefore, the percent of the compound that is made up of uranium is 20%

Answer:

Step-by-step explanation:

Each point moves 3 times the distance from the center of dilation that it was.

You can compute the new coordinates by ...

 L = P - O . . . . . the length from O to P is P-O for some point P and origin O

Then 3 times that distance is

 3L = 3P -3O

We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O. We get ...

 P' = 3L +O = 3P -3O +O

 P' = 3P -2O

So, for the lower left point A(-2, -7), the dilated image point A' is ...

 A' = 3(-2, -7) -2(2, -7) = (-6, -21) +(-4, 14) = (-10, -7)

That is, ...

 A' = 3A +(-4, 14)

The coordinates of the remaining points can be found similarly.

___

On a graph, it is usually fairly easy to count the grid squares in each direction between the point of interest and the center of dilation. The image point is 3 times the distance in each direction (horizontally, vertically).

Answer:

See the attached picture

Step-by-step explanation:

Verified correct with test results.

Answer:

You can graph them on desmos and see which is a linear (literally looks like a line)

Step-by-step explanation:

Answer:

1. AD

2. 5.2 cm

3. x = 4

4. BC

5. 3

6. x = 12

Step-by-step explanation:

Step-by-step explanation:

Find the radius: 6 ÷ 2 = 3m

Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m

Area = pi x 3cm x 3cm = 28.27m2

Calculate the circumference and area of given triangle.

Circumference of circle = 2πr

Area of circle = πr²

Radius,r = diameter/2 => 6/2 = 3 m

( i ) As we know that formula of circumference,

Circumference of circle = 2πr

[tex] \bf \: \star \: putting \: the \: values[/tex]

[tex] \implies \: 2 \times 3.14 \times 3[/tex]

[tex] \implies \: 6.28 \times 3[/tex]

[tex] \implies \: 18.84 \: m[/tex]

(ii) As we know,

Area of circle = πr²

[tex] \bf \star \: putting \: the \: values[/tex]

[tex] \implies \: 3.14 \times {(3)}^{2} [/tex]

[tex] \implies \: 3.14 \times 9[/tex]

[tex] \implies \: 28.26 \: m {}^{2} [/tex]

Answer:

x=50 y=25

Step-by-step explanation:

brainliest pls

Answer Mr. Gerard speed was at most 25 miles per hour before the curve

Step-by-step explanation:

How to solve the speed Mr. Gerard was driving before the curve

Let’s just assume that Gerard went exactly the speed limit 15 miles per hour (mph) after when he slowed down by 10 miles per hour and drove around the curve. The reason why I’m using exactly 15mph is because it’s the max speed he can go. He can go 15 miles per hour and still be safe, but it’s just that he can’t go any faster than that.

Now, you can do 15 + 10 to find the speed he went before he drove around the curve. So, that would be 25mph before he drove around the curve.

You might be asking: What if he went slower than 25mph before he drove around the curve, and what if he went faster than 25mph?

-When he drives exactly 25mph and slows down by 10mph when he makes the turn around the curve, he’s going exactly 15mph which it safe for him because it’s not faster than 15mph.

-It could be possible that he went slower than 25mph before he drove around the curve, but he still will be safe because when he makes the turn around the curve and slows down by 10 miles per hour, now he’ll reach below 15 miles per hour which is even safer for him. Here’s an example for you to understand: Let’s say he drove 23mph before the curve (which is less than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 13mph, which is less than the speed limit 15mph. You can take any number less than 25mph and he’ll still be safe because it will be less than 15mph.

-Now, if he went faster than 25mph, he wouldn’t be safe anymore because after when he slows down by 10mph and goes around the curve, he’ll be above the speed limit of 15mph. Here’s an example for you to understand: Let’s say he drove 27mph before the curve (which is faster than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 17mph, which is faster than the speed limit 15mph.

Answer: Mr. Gerard speed was at most 25 miles per hour before the curve

Graphing it

A way to graph this is to write out a compound inequality. You can write it as:

0 < y ≤ 25  ⇒ Where any speed has to be less than or equal to 25 miles per hour, because 25 miles per hour is the most/biggest speed Mr. Gerard can drive. But it has to be greater than 0 because you can’t go negative miles per hour, or 0 miles per hour

The graph is shown below ↓

I don’t know what graph you want, or how your teacher wants you to graph it. So I put two options for you :)

I hope you understand and that this helps with your question! :)

hope it will help you.........

Answer:

UV=UZ+ZV

Step-by-step explanation:

UV=3y-5+2z+2

=3y+2y-3

but UV =27=3y+2y-3

30 =3y+2y

bisect means cut in to two equal parts so

3x+3=3y+6

3x-3y=6-3

3x-3y=3

then combine the two equation

30 =3y+2y this is 30=5y which is y=6

3 = 3x-3y so enter y=6 into this equation

3=3x-3*6

3=3x-18

3x=21

x=7

Answer: B) Crossing the x-axis at -2 and 3

Step-by-step explanation:

Answer:

The distance covered by a train in 1 minute = 1.25 kilometers

The distance covered by a train in 100 minutes = 125 kilometers

Step-by-step explanation:

The distance covered = 7.5 kilometers

Time taken = 6 minutes

Calculating unit rate

unit rate = 7.5 kilometers / 6 minutes

              = 1.25 kilometers per minute

Thus,

The distance covered by a train in 1 minute = 1.25 kilometers

and

The distance covered by a train in 100 minutes = 1.25 × 100

                                                                                = 125 kilometers

Answer:

X = 10 or scale factor is 2.5

Step-by-step explanation:

first look at the scale factor going from 4 to 10, to get from 4 to 10 you would need to multiply 4 by 2.5. Since this problem doesnt give us the smaller scale factor first we need to divide 25 by 2.5 which equals 10.

Answer:

A and C

Step-by-step explanation:

A) 160 + 20 = 180

B) 120 + 40 = 160

C) 45 + 135 = 180

D) 30 + 120 = 150

All supplementary angles must add up to 180 degrees.

Answer:

y=−x+2y=4x+7   NO

y=−x+2               YES

y=4x+7            

Multiply the first equation by 4, obtaining:              4y = -4x + 8

Add the 2nd equation to this result:                          y = 4x  + 7

                                                                            --------------------

                                                                                5y = 15, and y = 3

Then, using the first equation, determine x:

y = 3 = -x + 2

      1 = -x, so x = -1

The solution is (-1, 3)

Answer: (-1; 3)

Step-by-step explanation:

y = -x + 2

y = 4x + 7

4x + 7 = -x + 2

4x + 7 + x - 7 = - x + 2 + x - 7

5x = - 5

x = - 1

y = 4(-1) + 7

y = 3

Intersection point: (-1; 3)

See the solution on the photo

no

the table does not represent a proportional relationship.

Answer:

A = 240π cm²

Step-by-step explanation:

Given that,

Height of a cylinder, h = 7 cm

Volume of the cylinder, V = 448π cm³

We need to find the total surface area of the cylinder.

The formula for the volume of the cylinder is given by :

[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]

The formula for the total surface area of the cylinder is given by :

[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]

So, the total surface area of the cylinder is 240π cm².

Answer:

x = 37

Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.

Answer:

4/15 and 0.26

Step-by-step explanation:

Here, we want to write the fraction and decimal that matches the division problem

The division problem is simply 4/15 in fraction

In decimal, this is 0.2667

Answer:

the answer is 29

Step-by-step explanation:

good luck! <33

Answer:

The answer is  203

Step-by-step explanation:

 I  started off by dividing 609 by 3 and your answer is on the top. You're welcome!!

Answer:

Step-by-step explanation:

2,9

Answer:

answer is 6√3

it's right answer

:-))

Answer:

11

Step-by-step explanation:

-2 • f(-6) -7 • g(-7) = ?

As per graph:

f(-6) = 5

g(-7) = -3

Calculation:

-2 • f(-6) -7 • g(-7) =

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

-10 + 21 =

11

Property of Addition and division.

9514 1404 393

Answer:

  CB = √6 cm

Step-by-step explanation:

The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.

Then the length CB is given by the Pythagorean theorem as ...

  CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm

  CB = √6 cm

Answer:

AC, AB. BC

Step-by-step explanation: