False
because
r=2
so
an=a1r^(n-1)
a4=(-1)(2^(4-1))
=(-1)(2^3)
=(-1)(8)
=-8
so a4 equals -8 not -6
<span><u><em>Answer:</em></u>
(5 * 1) + (9 * 0.1).<span>
<u><em>Explanation:</em></u>
To write a number in expanded form you have each digit multiplied by its numbers place and add each digit together. 5 is in the ones place so it becomes (5 * 1).
9 is in the tenths place so it becomes (9 * 0.1).
add them together to get (5 * 1) + (9 * 0.1)</span></span>
⓵ You need to solve the left side first in order to isolate the × and find it’s value :
-7× + 6 = 27
-6 -6
↓
-7× = 21
÷-7 ÷-7
↓
× = -3
If you find it too difficult to divide a number by a negative, just divide 21 by 7 and always remember that when dividing, when the signs are different the answer is negative. So knowing that you could just divide 21 by 7, which is 3, and add a negative sign in front!
I hope this helped, if there’s anything let me know! ☻
Answer: x = 6.56
Step-by-step explanation: -0.4x - 0.5 + x = 3.63
-0.4x^2 - 0.5 = 3.63
-0.4x^2 = 4.13
0.63x = 4.13
x = 6.56
Answer:
y - 7 = 4(x - 35)
Step-by-step explanation:
The fundamental theorem of calculus states that:
= f(x).
So using the fundamental theorem of calculus, you can find that h'(x) = f(x).
The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.
Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.
The slope of h(x) at x = 35 is 4.
Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.
The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.
Now use the point-slope formula to write the equation of the tangent line.
The answer is <u>y - 7 = 4(x - 35)</u>