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ELEN [110]
2 years ago
13

The graph shows the saving in Andre's bank account. What is the slope of the line?

Mathematics
1 answer:
VLD [36.1K]2 years ago
8 0

Answer:

5

Step-by-step explanation:

slope= rise/run

=y2-y1/x2-x1

Take any two points

80-40/8-0

40/8

=5

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Pizzeria Napoli sells a round pizza with diameter 16 inches and a square pizza with side length 15 inches. Which of the two shap
zavuch27 [327]

Answer: Square, 24 square inches

Step-by-step explanation:

Given

Diameter of round pizza d=16\ in.

Side of square pizza a=15\ in.

Area of circle \pi r^2

The area of a square is a^2

\therefore \text{Area of round Pizza}=\pi \times (\frac{16}{2})^2\\\Rightarrow A_1=\pi \times 8^2=201.088\ in.^2

The area of square pizza is

A_2=15^2=225\ in.^2

Clearly, the area of square pizza is more and the difference in their area is

\Rightarrow A_2-A_1=225-201.088=23.91\approx\ 24\ in.^2

6 0
2 years ago
Which ordered pairs make both inequalities true?
Arlecino [84]

Answer:

(0,-2) and (1, 1)

Step-by-step explanation:

7 0
3 years ago
Sally launches a rocket off of a platform. The height of the rocket, in meters, can be modeled by the function, h(x) = -5(x - 3)
Lorico [155]

Answer:

Time = 3secs

Max height = 56m

Step-by-step explanation:

Given the height reached by the rocket modeled by the equation;

h(x) = -5(x - 3)² + 56 where;

x is in seconds

The rocket velocity at its maximum height is zero.

Hence dh/dx = 0

dh/dx = 2(-5)(x-3)

dh/dx = -10(x-3)

Since dh/dx = 0

0 = -10(x-3)

0 = -10x + 30

10x = 30

x = 3secs

<em>Hence it takes 3 secs to reach the maximum height.</em>

Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;

Recall that:

h(x) = -5(x - 3)² + 56

If x  = 3

h(3) = -5(3 - 3)² + 56

h(3) = 0 + 56

h(3) = 56

<em>Hence the maximum height that the rocket reaches is 56m</em>

4 0
2 years ago
A standard six-sided die is rolled.
Jobisdone [24]

Answer:

Step-by-step explanation:

There are six sides on the die...

1, 2, 3, 4, 5, 6

Greater than or equal to 3 includes 3, 4, 5, 6

This means 4 out of 6, or 4/6

4/6 simplified is 2/3

Hope this helps!

8 0
2 years ago
If f(x)=3x^2+2 and g(x)=x^2-9 find (f-g)(x)
miss Akunina [59]

Here given, f(x) = 3x^2+2 and g(x) = x^2-9

we have to find (f-g)(x) which means the subtracting of the functions f(x) and g(x).

(f-g)(x) = f(x) - g(x)

= (3x^2+2) - (x^2-9)

= 3x^2+2 -x^2-(-9)

= 3x^2-x^2+2+9 ( we know that multiplication of negative and negative is positive)

= 2x^2+2+9

=2x^2+11

We have got the required answer here.

(f-g)(x) = 2x^2+11

6 0
3 years ago
Read 2 more answers
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