Mathematics High School

HELPP!
The functions f(x) and g(x) are described using the following equation and table:
f(x)=-4(1.09)x

Answers

Answer 1

Answer:

A: The y-intercept of f(x) is equal to the x-intercept of g(x)

Step-by-step explanation:

From the equation of f(x) given, we have;

f(x) = -4(1.09)^(x)

Now,the y-Intercept will be the point where x = 0.

Thus;

f(0) = -4(1.09)^(0)

f(0) = -4

Now,from the table given for g(x), we can see that at x = 0,g(x) = -4.

Thus,it means that the y-intercept of f(x) is equal to the x-intercept of g(x)

Related Questions

A man invests $ 16800 in savings plan that pays simple interest at a rate of 5% per annum. Find the Tim’s taken for his investment to grow to $18900

Answers

Answer:

2.5 years

Step-by-step explanation:

The given amount invested, which is the principal, P = $16,800

The simple interest rate, R = 5% per annum

The intended total value of the investment, A = $18,900

The simple interest on the principal, I = A - P

∴ I = $18,900 - $16,800 = $2,100

The formula for the simple interest, I, is given as follows;

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Therefore, we have;

[tex]T = \dfrac{I \times 100}{P \times R}[/tex]

Plugging in the values, gives;

[tex]T = \dfrac{2,100 \times 100}{16,800 \times 5} =2.5[/tex]

The time it will take the investment to grow to $18,900 is T = 2.5 years

Write the equation of the line parallel to 4y - x = -20 that passes through the point (8,3).

Answers

Answer:

y= ¼x +1

Step-by-step explanation:

Rewriting the equation into the slope-intercept form (y= mx +c, where m is the gradient and c is the y- intercept):

4y -x= -20

4y= x -20 (+x on both sides)

y= ¼x -5 (÷4 throughout)

Thus, slope of given line is ¼.

Parallel lines have the same gradient.

Gradient of line= ¼

y= ¼x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 8, y= 3,

3= ¼(8) +c

3= 2 +c

c= 3 -2

c= 1

Hence the equation of the line is y= ¼x +1.

Solve for h. Make sure to use scrap paper to show your work.

( 136 + 6 x 8 ) ÷ 2 = g

Answers

Answer:

Step-by-step explanation:

6 x 8 = 48

48 + 136 = 184

184 / 2 = 92

There is no h, but

G=92

6•8=48
136+48=184
184/2=92

YALL I NEED HELP ASAP!!!!! ITS BASIC MATH!!

So i have to multiply and cast out 9s and I know i have the right answer but the casting out 9s part its not falling into place so pls helpppppp

948 x 789 = 747,972

pls help ill brainliest, thnxs, and 5 star rate!!!!! pls

Answers

Answer:

Step-by-step explanation:

948 x 789 = 747,972

What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?

Answers

Answer:

The complete question can be found online.

The missing information is:

Carson drove a total distance of 120km, he initially has 30L of fuel on his tank, and his car efficiency is 100 cm^3/km

Remember that 1000cm^3 = 1 L

then:

100cm^3 = 0.1L

This means that he uses 0.1 L per kilometer.

The equation that shows how many liters of fuel he will have is:

initial fuel - consumed fuel.

We know that the initial fuel is 30 liters.

And the consumed fuel will be the amount of fuel he used to drive the 120 km

Remember that for each km, he consumes 0.1 L of fuel.

Then for the 120km he used 120 times 0.1 L of fuel, so he used a total of:

120*0.1 = 12 L of fuel

Then the remaining fuel in the tank is:

30 L - 12 L = 18L

There are 18 L of fuel in the tank.

Answer:

Should be 30-100/1000*120

Step-by-step explanation:

The shorter leg of a right triangle is 18 meters. The hypotenuse is 6 meters longer than the longer leg. Find the length of the longer leg.

Answers

Answer:

24 meters

Step-by-step explanation:

Use the pythagorean theorem

18² + x² = (x + 6)²

Expand

324 + x² = x² + 12x + 36

Subtract x² from both sides

324 = 12x + 36

Subtract 36 from both sides

288 = 12x

Divide both sides by 12

24 = x

24 meters

[tex]solve : - \\ \\ (2 ^{2} + 4 {}^{2}) = {?}[/tex]

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {20}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

[tex] = ( {2}^{2} + {4}^{2} )[/tex]

[tex] = [(2 \times 2) + (4 \times 4)][/tex]

[tex] = (4 + 16)[/tex]

[tex] = 20[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Thank\:you! }}{\orange{❦}}}}}[/tex]

Ben franklin is an electrician that lighting

Answers

XxFazexX Ben Franklin is Goated.

How do angles inside a polygon affect the sides of the polygon?

Answers

Hello,

Let 's n the number of sides,

R the radius of the circonscrit circle,

c the side of the polygon (c like côté)

Angle in the center is 360/n and its half is 180/n

(c/2)/R=sin(180/n)

Inside angles are (180-360/n)/2 = 90-180/n (°)

find the area of the triangle

Answers

Answer:

Formula for area of a triangle= L*H/2

Step-by-step explanation:

Let's say your triangle has an A length of 15 and your B height is 12. You then multiply your length and height to get 180. Then you divide your answer by 2 and get 90.

Hope this helps!! :)

[tex]frac{12(x+y)^{3} }{9(x+y)}[/tex]

Answers

108(x+y)^4 would be the answer

HELP ME SOMEONE PLEASE!!!!!!!!!!!

Answers

Answer:

The probability that they will both break down would be 8%

Step-by-step explanation:

I believe it is 8% (sorry if its wrong) because tractor 1 is 3% and tractor 2 is 5% add them together and that is where you get 8%

Which expression is equivalent to 3/2?

Answers

Answer: the answer is D. I took the test & got it right

Step-by-step explanation:

The expression is equivalent to 3/2 will be;

⇒ 3y/(2y - 6) + 9/(6 - 2y)

Option D is true.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Equivalent expression is 3/2.

Now,

Let the expression is;

⇒ 3y/(2y - 6) + 9/(6 - 2y)

Solve the expression as;

⇒ 3y/(2y - 6) - 9/(2y - 6)

⇒ (3y - 9) / (2y - 6)

⇒ 3 (y - 3) / 2 (y - 3)

⇒ 3/2

So, The expression is equivalent to 3/2 will be;

⇒ 3y/(2y - 6) + 9/(6 - 2y)

Option D is true.

Learn more about the fraction visit:

https://brainly.com/question/20323470

#SPJ2

help me solve this problem please

Answers

Step-by-step explanation:

nope guy but little you now

Solve for X.

-3/2(x-2)=45/14

Please show work.

Answers

Answer:

-1/7

Step-by-step explanation:

-3/2(x-2)=45/14

x-2=(45/14)/(-3/2)

x-2=(45/14)(-2/3)

x-2=-90/42

simplify -90/42 into -15/7

x-2=-15/7

x=-15/7+2

x=-15/7+14/7

x=-1/7

Exact Form:
x=-1/7

Decimal form:

-0.142857

Explanation:
You simplify both sides of the equation and then isolate the variable.

One group of new freshmen is given a study-skills training course during the first week of college and a second group does not receive the course. At the end of the semester, the grade point average is recorded for each student. For this study, what is the dependent variable

Answers

Answer:

The dependent variable is the grade point average recorded for each student.

Step-by-step explanation:

The dependent variable is defined as the variable that is to be tested or even measured in an experiment.

In this question, At the end of the semester, the variable that is being tested is the grade point average for each student.

Thus it is the dependent variable.

PLEASE HELP THIS IS MY LAST QUESTIONNNN

- The electric company charges Dalton a monthly service fee of $30 plus $0.15 per kilowatt-hour of electricity used. This month, Dalton's bill is $105.

- How many kilowatt-hours of electricity did Dalton use?

Answers

5 he used 5 hours or however it is out but it’s “5”

Answer:

500 kilowatt-hours.

Step-by-step explanation:

Let k = number of kilowatt-hours.

[tex]0.15k+30=105\\0.15k=75\\k=500[/tex]

Therefore, Dalton used 500 kilowatt-hours of electricity.

Which of the following statements considered as always true?

A. All intersecting lines are perpendicular.
B. All parallel lines cut by a transversal line.
C. All perpendicular lines are intersecting line.
D. All transversal line is for parallel lines only

Answers

I don’t know duduejejeneisizkwkwneusisjwj

Which property can be used to justify the statement?

Answers

Answer:

Symmetric Property of Equality

Step-by-step explanation:

The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other side.

Hope you understood

Please mark me as brainliest

Thank You

What is essential to remember when simplifying a cube root compared to a square
root?

Answers

Answer:

The cube root of a number x is the length of the side of a cube whose volume is x cubic units.

The square root of a number x is the length of the side of a square whose area is x square units.

Hence the words ‘cube’ and ‘square’.

Mathematicians have then generalized these two concepts for when x is not necessarily a volume of a cube or an area of a square

Answer quickly please <33333

The side length of square A is shorter than the side length of square B by 5 inches. The perimeter of square A is 100 inches. What is the difference, in square inches, between the area of square A and the square area of B?

A)10
B) 25
C)125
D)175

Answers

I thing 10 is answer

Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}

Answers

Answer:

the exact answer is 1.98

if we rationalize denominator we get root 0f 10 times pi divided by 5

root of 10 is about 3.1 ([tex]\pi[/tex]) so we have [tex]\frac{\pi ^{2} }{5}[/tex] ≈ 9.6/5 = 1.92

Step-by-step explanation:

[tex]\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}[/tex] = [tex]\frac{\sqrt{10} \pi }{5}[/tex]

What is the solution to log Subscript 5 Baseline (10 x minus 1) = log Subscript 5 Baseline (9 x + 7)

Answers

Answer:

x = 8

Step-by-step explanation:

Given:

log₅ (10x - 1) = log₅ (9x + 7)10x - 1 = 9x + 710x - 9x = 7 + 1x = 8

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

[tex]\sf{log_{5}}(\tt{10x-1})=\sf{log_{5}}(\tt{9x+7})\\\\10x-1=9x+7\\\\10x-9x=7+1\\\\\pmb{\green{\underline{\sf{x=\frak{8}}}}}[/tex]

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

A basketball court measures 998 inches on the sides while the baseline stretches 700 inches. There is a circle in the middle of the court that has a diameter of 72 inches. The team can fit 14 people in the circle at one time. How many people can fit on a court?

698,600 people

50,000 people

1296 people

2402 people

Answers

Answer:

2402 people.

Step-by-step explanation:

Since a basketball court measures 998 inches on the sides while the baseline stretches 700 inches, and there is a circle in the middle of the court that has a diameter of 72 inches, and the team can fit 14 people in the circle at one time To determine how many people can fit on a court, the following calculation must be performed:

Area of a circle:

3.14 x (72/2) ^ 2 = X

3.14 x 36 ^ 2 = X

3.14 x 1.296 = X

4,069.44 = X

Area of a rectangle:

998 x 700 = X

698,600 = X

4,069.44 / 14 = 290.67

698,600 / 290.67 = 2,402

Which expressions are in the simplest form? Check all that apply.

(Please help, I've been stuck on this all afternoon)

Answers

Answer:

All options are correct.

Step-by-step explanation:

We have to find the expression which are in the simplest form.

A.[tex]x^{-3}+y^3[/tex]