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Ira Lisetskai [31]
3 years ago
15

Please help

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0
Just plug in the x-values into the given equation to find. For 9-19-19 whatever the number is correlated to how much the graph is being moved down or up and the x is your slope.

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For the function f(x)=ax^3+bx^2-5x+9, determine the values of a and b so that f(-1)=12 and f'(-1)=3
Alecsey [184]

If

<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9

then

<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5

Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations

-<em>a</em> + <em>b</em> + 5 + 9 = 12

3<em>a</em> - 2<em>b</em> - 5 = 3

or

-<em>a</em> + <em>b</em> = -2

3<em>a</em> - 2<em>b</em> = 8

Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :

2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8

-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8

<em>a</em> = 4

Substitute this into the first equation above to solve for <em>b</em> :

-4 + <em>b</em> = -2

<em>b</em> = 2

4 0
3 years ago
the lowest temperature ever recorded on Earth is -94.7 this was recorded in August 2010 in Antarctica. Before this date, the pre
stiv31 [10]

Answer:

5.5

Step-by-step explanation:

The lowest temperature ever recorded on Earth is =-94.7

Before this date, the previous record was at= -89.2

the difference between these two extreme temperatures=-89.2-(-94.7)

                                                                                              =-89.2+94.7

                                                                                              =5.5

<u>The difference between these two extreme temperatures is 5.5</u>

8 0
4 years ago
Which of the following is a correct interpretation of the expression -7-(-11)
goldenfox [79]

Answer:

(B) Start at -7 on the number line and move 11 to the <em>right.</em>

Step-by-step explanation:

They are negatives, but the -(-11) makes the 11 a positive.

8 0
3 years ago
Which values of x, if any, prove that the graph below is not a function?
AleksAgata [21]

Answer:

3

Step-by-step explanation:

For a graph not to be a function, it means that a particular value of x has more than one corresponding value of y. Looking at the graph, at the point where x = 3 on the horizontal axis, there are so many value of y. Plus, the graph below is not a function at x = 3

The correct option is 3

4 0
3 years ago
I need help asap please ​
dsp73

Answer:

its correct

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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