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3 years ago

What is the value of (-ab)(a) when a=-2 and b=3

Mathematics

2 answers:

Romashka [77]3 years ago

5 0

$(-ab)(a) = (-(-2)(3))(-2) = -12$

hichkok12 [17]3 years ago

5 0

(-ab)(a) = -a^2b

plug in:

-a^2b

= -(-2)^2 * (3)

= -4 * 3

= -12

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Write an expression that is equivalent to 110% of a quantity, n

OverLord2011 [107]

Answer:

$\displaystyle 1\frac{1}{10}n$

Explanation:

Convert $\displaystyle 110\%$ to a mixed number, then set $\displaystyle n$ up next to it.

I am joyous to assist you at any time.

8 0

1 year ago

Julie’s family took a 4-day trip. Julie’s mother wrote an equation to calculate their gas mileage, m, in miles per gallon. Let d

Brut [27]

Answer:

$m = 26$

Step-by-step explanation:

Given

See attachment for missing details

Required

Determine the gas mileage for the trip

First, we calculate the miles driven

$Miles = 476 + 439 + 382 + 263$

$Miles = 1560$ --- d

Next, we calculate the amount of gas used

$Gas = 15.0 + 13.5 + 15.4 + 16.1$

$Gas = 60.0$ ---- g

The gas mileage is then calculated as:

$m = \frac{d}{g}$

$m = \frac{1560}{60}$

$m = 26$

Hence, the gas mileage is 26 miles per gallon

7 0

2 years ago

What could be the Principal Amount, if rate if interest is 16% and $18 is earned as an interest after 3 months

liq [111]

The principal amount is $37.5

Step-by-step explanation:

Rate of interest= 16%

Rate of Interest = $18

Time = 3 months

Interest = (principal amount x rate of interest x time) /100

18 = (p x 16 x 3) /100

1800 = 48p

P = 1800/48

P = 37.5

The principal amount is $37.5

6 0

2 years ago

Determine the sum of all single-digit replacements for z such that the number 24,z38 is divisible by 6.

fredd [130]

Answer:

The sum of all single-digit replacements for z is 12

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- The number is divisible by 6 if it divisible by 2 and 3

- Any even number divisible by 2

- The number is divisible by 3 is the sum of its digits divisible by 3

* <em>Now lets solve the problem</em>

- The number 24,z38 is divisible by 6

- We need to find all the possible values of z which keep the number

divisible by 6

∵ Lets add the sum of the digits without z

∵ 2 + 4 + 3 + 8 = 17

∵ 18 is the nearest number to 17

∵ 18 is divisible by 3

∴ Add 17 by 1 to get 18

∴ z = 1

- Lets check the number

∵ The number is 24,138

∵ 24,138 ÷ 6 = 4023

∴ The number is divisible by 6

∵ 21 is the next number after 18 and divisible by 3

∴ We must add 17 by 4 to get 21

∴ z = 4

- Lets check the number

∵ The number is 24,438

∵ 24,438 ÷ 6 = 4073

∴ The number is divisible by 6

∵ 24 is the next number after 18 and divisible by 3

∴ We must add 17 by 7 to get 24

∴ z = 7

- Lets check the number

∵ The number is 24,738

∵ 24,738 ÷ 6 = 4123

∴ The number is divisible by 6

- There is no other value for z because if we take the next number

of 24 divisible by 3 it will be 27 , then we must add 17 by 10 but

10 not a single digit

∴ The possible values of z are 1 , 4 , 7

∴ The sum of them = 1 + 4 + 7 = 12

∴ The sum of all single-digit replacements for z is 12

7 0

3 years ago

Two functions are represented in different formats. Function 1: x y 0 −2 2 0 3 1 5 3 Function 2: Graph of a line passing through

inessss [21]

The statements that are true are;

Function 2 has a greater rate of change than function 1.
Function 2 has a greater y-intercept than function 1.

Step-by-step explanation:

Given that function 1 has the table;

x y

0 -2

2 0

3 1

5 3

Finding the slope of the linear function gives the rate of change of the function. In this case,

m=Δy/Δx

m=3-1/5-3 = 2/2 =1

The equation of the linear function is given as;

m=Δy/Δx

y-3/x-5= 1

y-3=x-5

y=x-5+3

y=x-2

y-intercept is -2

In function 2, the line passes through points (-2,0) and (0,4)

Finding the slope of the line,

m₁=Δy/Δx

m₁=4-0/0--2

m₁= 4/2 =2

Rate of change is 2

Finding the equation of the line

y-4/x-0 = 2

y-4=2(x-0)

y-4 =2x

y=2x+4

The y-intercept is 4

The statements that are true are;

Function 2 has a greater rate of change than function 1.
Function 2 has a greater y-intercept than function 1.

Learn More

Linear functions :brainly.com/question/1505806

Keywords : functions, format, graph, line, ordered pair

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3 0

3 years ago