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3 years ago

Which graph represents an exponential function?

Mathematics

1 answer:

Paha777 [63]3 years ago

4 0

Answer:

A simple exponential function to graph is y=2x . Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right. Changing the base changes the shape of the graph. Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.

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Solve the simultaneous equations 2x-y=7 3x+y=3

Debora [2.8K]

Answer:

Step-by-step explanation:

Using elimination method:

2x - y = 7

3x + y = 3

--------------

5x = 10

Divide both sides of the equation by 5

$\frac{5x}{5} = \frac{10}{5}$

Calculate

$x = 2$

Now, substitute the given value of X in the equation

3x + y = 3

$3 \times 2 + y = 3$

Multiply the numbers

$6 + y = 3$

Move constant to R.H.S and change it's sign

$y = 3 - 6$

Calculate

$y = - 3$

The possible solution of this system is the ordered pair ( x , y )

---------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

$2 \times 2 - ( - 3) = 7$

$3 \times 2 - 3 = 3$

Simplify the equalities

$7 = 7$

$3 = 3$

Since all of the equalities are true, the ordered pair is the solution of the system

Hope this helps..

Best regards!!

4 0

3 years ago

A circle has a circumference of 6 cm. Find the diameter of the circle.

Mariulka [41]

Answer:

d≈1.91cm

Step-by-step explanation:

7 0

3 years ago

The map shows the route for a race.You are at X, 6000 ft from the first checkpoint C.The second checkpoint D is located at the m

Alex

Answer:

Distance between the two check point (C and D) is 4920 ft.

Step-by-step explanation:

From the question given above, we obtained the following information:

X is 6000 ft from C (1st check point)

D (2nd check point) is the midpoint point between C and Y ( the end of the race)

Total race = 3 miles

1 mile = 5280 ft

Next, we shall express the total race in feet (ft).

This is illustrated below:

1 mile = 5280 ft

Therefore,

3 miles = 3 × 5280 = 15840 ft

Next, we shall determine the distance between the 1st check point (C) and the end of the race (Y)

This can be obtained as follow:

Total distance = 15840 ft

Distance between X and C = 6000 ft

Distance between C and Y =?

Distance between C and Y = (Total distance) – (Distance between X and C)

Distance between C and Y = 15840 – 6000

Distance between C and Y = 9840 ft

Finally, we shall determine the distance between the two check point (C and D) as follow:

Since D is midpoint between C and Y, therefore, we shall we shall divide the distance between C and Y by 2 in order to obtain the distance between the two check point (C and D).

This is illustrated below:

Distance between C and Y = 9840 ft

Distance between the two check point (C and D) = 9840/2 = 4920 ft

Therefore, the distance between the two check point (C and D) is 4920 ft

5 0

3 years ago

Point A is at (-7, -7) and point B is at (-6, -1). What is the midpoint

hammer [34]

Answer: Midpoint= -13/2, -4

Step-by-step explanation:

Midpoint formula is (X1+X2)/2, (Y1+Y2)/2

So.

1. (-7+(-6))/2, (-7+(-1))/2

2. That equals -13/2,-4

7 0

4 years ago

Could I get some helppp:)

lys-0071 [83]

1) vertical line
2) neither
3) horizontal line
4) neither- these two overlap.
---
5 through 6 equation: a²+b²=c²
5) 5²+.8²=c²
25+.64=c²
√25.64=√c²
√25.64=C or 5.063=C
6) 2²+8²=c²
4+64=c²
√68=√c²
√68=C or 8.246=C

I hope this was of help

4 0

3 years ago