MATHEMATICS HIGH SCHOOL

Select the interval where h(x)>0 {where h of x is greater than 0}Option1. -3.5 Option2. -2 Option3. 2.5

Answers

Answer 1

Answer:

Answer:

The correct option is;

Option 3. 2.5

Step-by-step explanation:

From the graph of the function y = h(x), where h of x h(x) > 0 and x > 0 we have;

The first interval where y =h(x) > 0 occurs between x= 0 and x = 0.8

The second interval where y =h(x) > 0 occurs between 2.2 and 4 which is a range of 4 - 2.3 = 1.7

The total interval where y =h(x) > 0 occurs is therefore = 0.8 + 1.7 = 2.5

Thus the function y = h(x), is positive over an interval on the x-axis = 2.5.

Answer 2

Answer:

Answer:

Option 3. 2.5

Step-by-step explanation:

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A DVD store charges $4.70 for each day, a DVD is rented. The store also gives you a dollar off if the DVD is returned before 5 days. a.Write a rule to represent the rental charges. b. How much will you pay if you return the DVD after 4 days? 7 days?

Answers

Answer:

For four days it would be $19.8. For seven days it would be $24.9

Step-by-step explanation:

4 days:

$4.70 x 4 + 1= 19.8

7 days:

$4.70 x 7 = $24.9

I took away 1 from the 4 day equation because the question said you get a dollar off if you return the dvd before 5 days.

Hope this helps!

~Starr

Question 2 An exponential model y = a.6 passes through the points (0,9) and (3,243). What are the values of a and b?

Answers

Answer:

a = 9, b = 3

Step-by-step explanation:

The exponential function is

y = a $b^(x)$

Find a and b by using the points it passes through

Using (0, 9 ) then

9 = a $b^(0)$ ( $b^(0)$ = 1 )

a = 9

y = 9 $b^(x)$

Using (3, 243 ) then

243 = 9b³ ( divide both sides by 9 )

27 = b³ ( take the cube root of both sides )

b = $\sqrt[3]{27}$ = 3

y = 9 $(3)^(x)$ ← exponential equation

An infinite geometric series has 1 and 1/5 as its frist two terms:1, 1/5' 1/25' 1/125' what is the sum,s,of the infinite series?A 1/4
B1/25
c 5/4
d 1

Answers

you have a geometric series

since you are summing the powers of 1/5, this converges
(1/5 < 1)

it's equal to 1/(1-1/5)
=1/(4/5) = 5/4

for geometric series, the sum is always
x = 1/(1-r)
where r is the ratio of successive terms.

if you set the sum equal to x:
x = 1+r+r^2+r^3...
and multiply each term by r
rx= r+r^2+r^3+....
then subtract

x-rx = 1+r-r+r^2-r^2+r^3-r^3+....

x-rx = 1
x(1-r)=1
x=1/(1-r)

Adapta la estrategia de Ismat y calcula qué cantidad de madera se requiere para construir el cajón de cultivo.6. Observa el gráfico y explica en tu cuaderno cómo se obtiene el volumen de un prisma
7. Calcula la cantidad de tierra que necesitará nuestro cajón de cultivo, haciendo uso de la propiedad para encontrar el volumen.

Answers

Answer:

Which of the given mathematical sentens are quadratic equation?

A hobby shop has 4 times as many model airplanes as model helicopters. The total number of models is 35. How many model airplanes does the hobby shop have?

Answers

let's call airplanes "a" and helicopters "h".

The total number of models is 35. This means that a+h=35

4 times as many model airplanes as model helicopters. This means a=4h.

we can substitute this into the previous equation:

4h+h=35
5h=35

dividing by 5:

h=7

so he has 7 helicopters and 4*7=28 airplanes

Solve for x. Type only the answer below.