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krok68 [10]
3 years ago
8

Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)

Mathematics
1 answer:
Inga [223]3 years ago
6 0

Answer:

y = -2*0.5ˣ

Step-by-step explanation:

general formula for exponential function: y = abˣ

for point (0 , -2):    -2 = a*b⁰ = a * 1 = a

a = -2

for point (-1 , -4):   -4 = (-2) * b⁻¹       b⁻¹ = (-4) / (-2) = 2    

b = 1/2

exponential function:     y = -2*0.5ˣ

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A string is cut into two pieces in the ratio 2 : 7. The difference between the lengths of the two pieces is 90cm. Find the lengt
Nataly_w [17]

Answer:the length of the shorter string= 36cm

Step-by-step explanation:

Let us assume the lengths are 2x and 7x  since thery are in the ratio of 2 :7

 Such that Length of the shorter string = 2x

and the longer string = 7x  so that  the difference in Length which is 90cm can be expressed as

7x- 2x= 90

5x= 90

x 90/5

x= 18

shorter string = 2 x = 2x 18= 36cm

Longer strring = 7x 18=126cm  

       

5 0
3 years ago
What is 0.40506100 in scientific notation
Olenka [21]

Answer:

4.0506100 x 10^-1

Step-by-step explanation:

Because all you need to do is move the decimal point to the right once, you write 10^-1 to show that to get back to the original number, you just multiply 4.0506100 by -0.1

7 0
4 years ago
What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?
Aleks [24]

Answer:

y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

\frac{-y_1 + y_2}{-x_1 + x_2} = m

\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

y - y_1 = m[x - x_1]

y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]

I am joyous to assist you anytime.

8 0
3 years ago
Write the equation y-7= 2(x + 1) in standard form.
Andru [333]

Answer:

y=2X+9

Step-by-step explanation:

y-7=2(x+1)

Distribute 2 through: y-7=2x+2

Add 7 over to the other side: y=2x+9

4 0
3 years ago
Read 2 more answers
Hello pls Asap plsssss
Kay [80]
Option 3 or 4 would be your correct answer
5 0
2 years ago
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