Mathematics High School

Question 3 (2 points)

(04.07)

Two separate bacteria populations grow each month and are represented by the functions fx) = 3* and g(x) = 7x + 6. In what month is the f(x)
population greater than the g(x) population? (2 points)

Answers

Answer 1

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

Related Questions

Please help :( I will mark brainliest.

Answers

Answer:

The value of x is 29.

Step-by-step explanation:

→ The angles arent congruent, they are supplementary.

→ Supplementary angles equals 180 degrees.

→ The equation looks look:

[tex]2x - 10 + 4x + 16 = 180[/tex]

→ Let's solve the equation.

[tex]2x - 10 + 4x + 16 = 180 \\ 6x + 6 = 180 \\ \frac{ \: \: \: \: \: - 6 = - 6}{ \frac{6x}{6} = \frac{174}{6} } \\ x = 29[/tex]

→ Therefore, the value of x is 29.

what is 234 times 7658

Answers

Answer:

1,791,972

Step-by-step explanation:

234x7658=1,791,972

hope this helps

What is the value of the expression below? 5+2(10 + 5)​

Answers

U would do 10+5 first then u would do 5+2 so 15+7 =22
The answer is 22. PEMDAS = Parentheses first, so you add 10 + 5 = 15. Then you add 5+2 = 7, = 22.
Or if you’re multiplying it would be 15 x 7

Sasha says that she drew an acute isosceles triangle with side lengths of 6 cm,9 cm,and 12 cm and the angles are of 30 degree,50 degrees,and 100 degrees. Danielle says that not possible.Using sides and angles, who is correct. Most helpful gets the Brainliest.

Answers

Answer:

Danielle is correct. An isosceles triangle has two angles that are the same and one that's different.

Step-by-step explanation:

Tell me if it is wrong

I would appreciate a brainliest!

Have a nice day :D

i need help please?!?!?

Answers

Answer:

c=2a+b/d

Step-by-step explanation:

Multiply both sides by c.

2a+b=cd

Flip the equation.

cd=2a+b

Divide both sides by d.

cd/d = 2a+b/d

The price of a watch was increased by 20% to £162.
What was the price before the increase?​

Answers

The original price is 135
Step-by-step explanation:
Write equation. Let o be original price, r be rate of increase, P be the increased price. o+ro=P
Substitute values. Original price (o) is unknown, so that will stay as it is; we know that the increased price (P) is 162; we know that the rate of increase (r) is 20%, which in decimal form is 0.20 o+0.20o=162
Add like terms. o is the same as 1o. So 1+0.20 is 1.20. 1.20o=162
Isolate the variable (o). To isolate o, you need to divide both sides by 1.20. 1.20 divided by 1.20 is the same as 1. 162 divided by 1.20 is 135. o=135
Check your work. Plug in the values into the equation and check if it is correct: o+ro=P becomes (135)+(.20)(135)=162. That is simplified into 135+27=162, which is further simplified into 162=162
It’s correct, the answer is 135

Answer:

£129.60

Step-by-step explanation:

10% =  £16.2

20% = £32.4

£162 - £32.40 = £129.60

y=0²-2x+4
pls find y

Answers

y = -2x + 4

0^2 remains without a value

what is the square root of 72x as a power of 6 / x squared​

Answers

Answer is : 6 √ 72 x 2 Rewrite  72 x2 as  ( 6 x ) 2 ⋅ 2 . Tap for more steps... 6 √ ( 6 x ) 2 ⋅ 2 Pull terms out from under the radical.

6 ( 6 x √ 2 ) Multiply  6 by  6 . 36 x √ 2

thank  me later

A bathtub is filling with water at a rate of 60 liters per minute.
How many liters of water are in the bathtub after t minutes?
Write your answer as an expression.

Answers

60t sjjdksjsosjdksksksjskznxls

Answer:

YO BIG MAMMA

Step-by-step explanation:

You just yell to your mom and say YO BIG MAMMA and TADA she loves you

solve for y and x explain your thinking

Answers

Answer: X=2.5,  Y= 6.5

Step-by-step explanation:

It seems the triangle on the left is being transformed and a scale factor of 0.5 or 1/2 is being used since the 6 is half of 12. Therefore you divide 5 by 2 to get 2 and the 13 by 2 to get 6.5.

5p+2=-43

I need help so bad please help

Answers

p = -9.

apologies if this is wrong.

Write the function for the graph.

Answers

Answer:

the answer is B

Step-by-step explanation:

helpppp asap , help a girl outtttt :’(

Answers

Answer:

4. x=1/5y+3 5. x=-6/9y+2 6. x=-6/1y+4

Step-by-step explanation:

math and stuff

sorry if I am wrong, I haven't done this ina while and never studyed it much

Please help me, I'll give brainliest ♥♥

Answers

in the rigid class structure of the colonies, native-born Spaniards who held all the important positions in government were known as peninsulares. Those of Spanish descent born in the colonies were called creoles. Poor colonists of mixed race, Spanish and Indian, were called mestizos. At the bottom of the social structure were the indians/native peoples, who were poor and did most of the work.

please ill give brainliest if correct

What is an equation of the line that passes through the point (-1,4) and is parallel to the line x+y=4x?

Answers

Answer:

Y= 14x+5

Step-by-step explanation:

How many times do 8 go into 5

Answers

it goes into five 0 times

Answer:

0 Times

Step-by-step explanation:

The answer is 0 times!

This is due to the concept in which 8 is a bigger number than 5.

Pls helppp 10 points ( question 4)

Answers

did you try the answer b?

Which expression is equivalent to V8x7y8 ?

Answers

Answer:

the third one

Step-by-step explanation:

the answer is C!
good luck!

What would be the third step in simplifying the expression 3 + (9 - 5) 2 ÷ 8?

Answers

Answer:

Third step is divide 8 by 8

Step-by-step explanation:

Ok I'm going to do this step by step

First parenthesis

3+4*2÷8

Then multiply by 2

2+8÷8

Divide 8 by 8

2+1

Add

3

Find WX
10x + 5

7x + 8

8x-1

Answers

Answer: 127

Step-by-step explanation:

PLEASE HELP ILL GIVE U BRAINLEST PLUS 50 POINTS IF U GET IT RIGHT

Answers

Answer:

3x^2-10x+1

I would explain it but i think you need the answer quick so.

PLZ I NEED HELP so im just write this bc i need more than 20 letters so <3

Answers

Answer:

The area is 24 (In)

Step-by-step explanation:

A=h^b x b/ 2

Hope this helps ^^

~PurpleMist

A line passes through the point (6,-1) and is perpendicular to the line with equation - 2x + 3y = -6.
Which is the equation of the line?

Answers

Answer: y = − 3/2 x + 8

Step-by-step explanation:

Find the Perpendicular Line

Solve −2x + 3y = −6.

y = −2 + 2x/3

Find the slope when y = −2 + 2x/3 .

m = 2/3  

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

[tex]m[/tex] perpendicular = [tex]-\frac{1}{\frac{2}{3} }[/tex]

Simplify to find the slope of the perpendicular line.

perpendicular = −3/2

Find the equation of the perpendicular line using the point-slope formula.

y + 1 = − 3/2

⋅ (x − 6)

Write in y = mx + b form.  

y = − 3/2 x + 8

✨PLEASE HELP✨DUE SOON✨

Answers

Y = 4
X = 5

Solve 6x-2(-2x+14)=22
Then solve y=-2*5+14
(5,4)
y=4 and x=5
sorry if this is wrong

3x + 15 = 4x + 12

25 POINTS, AND BRAINLIEST IF YOU'RE CORRECT!

Please help, I need a step-by-step solution. I don't understand how to do this, and I'm willing to learn. ​

Answers

Answer:

[tex]3x + 15 = 4x + 12 \\ 4x - 3x = 15 - 12 \\ \boxed{x = 3}[/tex]

x=3 is the right answer.

Rewrite the function y = 2(x – 4)^2 – 5 in standard form.

Answers

Answer:

y=2x2−16x+27

Step-by-step explanation:

y = 2x2 + 12x + 13


eeeeeeee

During each week of piano lessons, Nate learns to play 1 new piece. Is the total number of piano pieces Nate learns proportional to the number of weeks he takes lessons?

Answers

Answer:

Yes

Step-by-step explanation:

1 piece per week can be written as a 1:1 ratio

What is the value of the missing angle



Please pelsd help

Answers

Answer:

Angel U=65

Step-by-step explanation:

115+x=180

x=180-115

x=65

65+50+x=180

x=180-115

x=65

angles: 50, 65,65

this triangle is isosceles

Check:

50+65+65=180

Yea I agree with that guy it makes the most sense lol

helppppppppppppppppppppppppppppppppppppp

Answers

The answer to this would be 2

The net of a right rectangular prism is shown below. The measurements are given to the nearest tenth of a centimeter. What is the surface area of the prism?

Answers

Answer:  c. 352.50 cm²

Step-by-step explanation:

Looking at the shape one can see that it is made up of 3 rectangles and 2 triangles.

The surface area will therefore be the sum of the areas of these 5 shapes.

Rectangle area = Length * width

= 7.5 * 13.5

= 101.25 cm²

There are 3 of them:

= 101.25 * 3

= 303.75 cm²

Triangles = 1/2 * base * height

= 1/2 * 7.5 * 6.5

= 24.375 cm ²

There are two of them:

= 24.375 * 2

= 48.75cm²

In total:

= 303.75 + 48.75

= 352.50 cm²

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