Answer (if it is possible check the answer in other sources):
1: y=7x+5.553;
2: y=7x+7.99.
Step-by-step explanation:
all the details can be found in the attachment (the answer is marked with colour).
1) to determine f'(x);
2) to calculate the values x₀ within the given interval;
3) to calculate the values f(x₀);
4) to calculate the values of interception 'i';
5) to write the required equations using 's' and 'i'.
Answer:
Step-by-step explanation:
hello :
f(x)=3x^2-6x+13
1) a=3 and b= -6
2) the x coordinate of the vertex is : x= -b/2a so : x= -(-6)/6 = 1
3) the y coordinate by x= 1 is : f(1) = 3(1)²-6(1)+13 = 10
In order to solve for x you have to set x by itself, the first step is to add common like terms for example 3x and 2x are common like terms so lets add them up to get 5x-4=8 now add 4 to both sides because the only way to get rid of a negative is with a positve, now you have 5x=12. your final step is to divide 5 to both sides because the only way to get rid of a multiplication is with a division, this will leave x by itself and your answer will be x=12/5
Hope this helps
Part B is saying to equal the both equations, so
5x + 2 = 5x + 5
Take a look, we have the same multiplicative to our variable, but we have different sums, so, if we just say x = 0 we wil have:
5.0 + 2 = 5.0 + 5
0 + 2 = 0 + 5
2 = 5
And of course it's not true, 2 will never be equal to 5, so we can say there's no solution for x.
Another way to see this is:
5x + 2 = 5x + 5
5x - 5x = 5 - 2
0 = 3
0 of couse isn't equal to 3.
Answer:
When the dimensions are doubled, the volume is eight times the original volume.
Step-by-step explanation:
difference in volume = volume of prism with dimensions doubled / original volume of prism
Volume of a prism = length x width x height
original volume of prism = 7 x 5 x 12 = 420
doubled dimensions of prism = (7x2) x (5x2) x (12 x 2)
volume = 14 x 10 x 24 = 3360
3360 / 420 = 8
