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3 years ago

Using the following function rule F(x) = 5^x + 5, the value of

Mathematics

1 answer:

Troyanec [42]3 years ago

5 0

Answer:

False

Step-by-step explanation:

Given F(x) = 5^x + 5

To find value of F(-3)

we will plug -3 in place x

then we have

$F(-3) = 5^x + 5\\=>F(-3) = 5^3 + 5 =>F(-3) = 125 + 5\\=>F(-3) = 120$

we have used $5^3 = 5*5*5 = 125$ in the above solution.

It is given that F(-3) is -120 while we have calculated F(-3) to be 120.

Thus, F(-3) is -120 is false.

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The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm

Fed [463]

Answer:

Length = 15 cm, width = 12 cm, Perimeter = 54 cm

Step-by-step explanation:

The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².

Length = 5x

Breadth = 4x

Area of rectagle,

A = bl

180 = 5x × 4x

180 = 20x²

x² = 9

x = 3

Length = 5x = 5(3) = 15 cm

Width = 4x = 4(3) = 12 cm

Perimeter of rectangel,

P = 2(l+b)

= 2(15+12)

= 54 cm

Hence, this is the required solution.

6 0

3 years ago

Mariah worked for 3 hours and earned a total of $28.50 Which equation can be used to find r the amount of money Mariah earns an

bixtya [17]

Mariah earn 9.5 an hour

3 0

3 years ago

Can you help me solve this please

Gekata [30.6K]

Answer:

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP! (1/4) - 50 POINTS -

Annette [7]

Answer:

D) 0.35

Step-by-step explanation:

The table gives the area between z=0 and the given magnitude of z. That is, the area between z = 0 and z = -0.6 is 0.23, as found in the 0.6 column of the table. Similarly, the area between z = 0 and z = 0.3 is 0.12, as found in the 0.3 column of the table.

The area between z = -0.6 and z = +0.3 is the sum of these areas:

p(-.6<z<.3) = 0.23 +0.12 = 0.35

5 0

3 years ago

At high school basketball game, the athletic department sold 250 tickets and brought in 837.50. Adult tickets cost $5 and studen

Tpy6a [65]

Answer:

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

Step-by-step explanation:

We will use the given statements to make a system of equations for the given scenario.

First of all we have to decide which variables to be used.

Let a be the number of adult tickets and

Let s be the number of student tickets

So according to the statement that the department sold 250 tickets in total, the equation will be:

$a+s = 250$

This is equation one of the system of equations

According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: $5a$

According to the statement that cost of student ticket is $2.50, total cost of student tickets will be: $2.50s$

The total earning was $837.50 so the second equation will be:

$5a+2.50s = 837.50$

Hence,

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

7 0

3 years ago