When a car travels a distance, d, of 2 miles in 2 minutes, t, what is the acceleration, a, of the car?

David is going to buy a cooker.

valina [46]

Answer:

David should pay £48 as deposit.

Step-by-step explanation:

Price of cooker = £320

Deposit price of Cooker = 15%

We need to find How much money does David pay as a deposit?

For finding deposit money we will find:

15% of 320

Solving:

$15\% \ of \ 320\\=15\% \times 320\\=\frac{15}{100}\times 320 \\=48$

So, David should pay £48 as deposit.

5 0

3 years ago

Two separate bacteria populations that grow each month at different rates are represented by the functions f(x) and g(x). In wha

denis23 [38]

Step-by-step explanation:

This is confusing, what does g(x) equal? There's a bunch of random numbers there. I'll just assume.

They stated that f(x) needs to exceed g(x), so make an inequality plugging in the values

$3x > 7x + 6$

You see, function f(x) needs to be higher than function g(x)

Subtract 7x from both sides to get:

$- 4x > 6$

Divide both sides by -4, when you divide by a negative number the signs switch so it is now less than.

x < -1.5

And obviously that's not an answer up there, so you made a mistake stating the values of the functions

3 0

3 years ago

Read 2 more answers

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea

____ [38]

Answer:

According to steps 2 and 4. The second-order polynomial must be added by $-c$ and $b^{2}$ to create a perfect square trinomial.

Step-by-step explanation:

Let consider a second-order polynomial of the form $a\cdot x^{2} + b\cdot x + c = 0$ , $\forall \,x \in\mathbb{R}$ . The procedure is presented below:

1) $a\cdot x^{2} + b\cdot x + c = 0$ (Given)

2) $a\cdot x^{2} + b \cdot x = -c$ (Compatibility with addition/Existence of additive inverse/Modulative property)

3) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c$ (Compatibility with multiplication)

4) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c$ (Compatibility with addition/Existence of additive inverse/Modulative property)

5) $(2\cdot a \cdot x + b)^{2} = b^{2}-4\cdot a \cdot c$ (Perfect square trinomial)

According to steps 2 and 4. The second-order polynomial must be added by $-c$ and $b^{2}$ to create a perfect square trinomial.

7 0

3 years ago

Read 2 more answers

Find the value of each variable in the parallelogram

melomori [17]

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

5 0

3 years ago

Read 2 more answers

Draw a diagram using positive an negative tiles for this equation:<br> -5-(-7)=2

Wewaii [24]

Sadly there is no way to graph properly on this website.

5 0

3 years ago