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Mrac [35]
3 years ago
8

Write an exponential function whose graph passes through the points (0,-2) and (2,-50)

Mathematics
1 answer:
solniwko [45]3 years ago
8 0

Answer:

first sub in (0,-2) to get

-2 = ab^0, but b^0 = 1

so a=-2

so far we have

y = -2b^x

now use the other point (2,-50)

-50 = -2(b^2)

b^2 = 25

b= ±5

however in exponentional equations the base is usually positve, so now you have

y = -2(5^x)

sub in x=-2 and you got it.

Step-by-step explanation:

hope it helps..

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A car travels 30 miles in 1/2 hour. What is the average speed at which the car is traveling in miles
Dmitry_Shevchenko [17]

Answer:

the car is traveling 60 miles per hour

Step-by-step explanation:

Since it is going 30 miles in half an hour, we just need to double both values to find the speed for an hour

30*2=60

1/2*2=1

60 miles per hour

hope this helps pls give crown <3

6 0
3 years ago
An exercise machine with an original selling price of $1,275 is marked down by 20%. What is the sale price of the exercise machi
krek1111 [17]

Answer:

1,020

Step-by-step explanation:

If it is marked down by 20%, then 80% is left. What is 80% of 1275 you ask? .8*1275=1020!

5 0
3 years ago
Please help. I don't understand how to do these problems.
aivan3 [116]

Answer:

11a.  m <1 = 131          12a.  m <1 = 42

11b.  m <2 = 49          12b.  m <3 = 75

11c.  m <3 = 131          12c.  m <4 = 42

11d.  m <4 = 49          12d.  m <5 = 63

11e.  m <5 = 131         12e.  m <6 = 75

11f.  m <6 = 49          12f.  m <7 = 105

11g.  m <8 = 49          12g.  m <8 = 75

11h.  m <9 = 92          12h.  m <10 = 75

11i.  m <10 = 88          12i.  m <11 = 42

11j.  m <11 = 92          12j.  m <12 = 138

11k.  m <12 = 88         12k.  m <13 = 42

11l.  m <13 = 92         12l.  m <14 = 138

11m. m <14 = 88

11n.  m <15 = 92

Step-by-step explanation:

When lines are parallel to  each other than:

Corresponding Angles are equal.

Alternate Interior Angles are equal.

Alternate Exterior Angles are equal.

Consecutive Interior Angles add up to 180 degrees.

You can check some math websites for definitions of these angle relationships.

8 0
3 years ago
A/20 + 14/15 = 9/15 <br><br> Can i get some help?
KiRa [710]
Method 1:

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |multiply\ both\ sides\ by\ 60\\\\60\cdot\dfrac{a}{20}+60\cdot\dfrac{14}{15}=60\cdot\dfrac{9}{15}\\\\3a+4\cdot14=4\cdot9\\\\3a+56=36\ \ \ \ |subtract\ 56\ from\ both\ sides\\\\3a=-20\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=-\frac{20}{3}\to a=-6\frac{2}{3}}

Method 2.

\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |subtract\ \dfrac{14}{15}\ form\ both\ sides\\\\\dfrac{a}{20}=-\dfrac{5}{15}\\\\\dfrac{a}{20}=-\dfrac{1}{3}\ \ \ \ |multiply\ both\ sides\ by\ 20\\\\\boxed{a=-\dfrac{20}{3}\to a=-6\frac{2}{3}}
3 0
4 years ago
A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular
Mama L [17]
The slope of first line is m 1= ( 1 - 0 ) / ( - 2 - ( - 6 ) );
m = 1 / 4 ;
Because the second line is perpendicular to the first line, m2 * m1 = - 1 ;
m2 * ( 1 / 4 ) = -1;
 m2 = - 4 ;
The equation of the second line is : y - 3 = ( - 4 )( x - 2 );
y - 3 = -4x + 8 ;
y = -4x + 11.
5 0
4 years ago
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