Answer:
x°=25° y=5
Step-by-step explanation:
x°=
The measure of two angles is given. (65° and 90°)
90°+65°=155°
180°-155°=25°
y=
Use the Pythagorean theorem. (A²+B²=C²)
3²+4²=25
√5=25 (5²=25)
The instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.
<h3>What is the instantaneous rate of change of the function at the given point?</h3>
The instantaneous rate of change is simply the change in the derivative value at a specific point.
Given the data in the question;
- f(x) = −4x² − 3x + 1
- Point x = -3
To determine the instantaneous rate of change of the function, first find the derivative of the function.
f(x) = −4x² − 3x + 1
Applying sum rule, with respect to x
d/dx[ -4x² ] + d/dx[ -3x ] + d/dx[ 1 ]
[ 2 × -4x¹ ] + [ 1 × -3x⁰ ] + d/dx[ 1 ]
[ -8x ] + [ -3 ] + d/dx[ 1 ]
-8x - 3 + d/dx[ 1 ]
Differentiate using constant rule
-8x - 3 + [ 0 ]
-8x - 3
f'(x) = -8x - 3
Next, plug x = -3 into the derivative and simplify.
f'(x) = -8x - 3
f'(-3) = -8(-3) - 3
f'(-3) = 24 - 3
f'(-3) = 21
Therefore, the instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.
Learn more about instantaneous rate of change here: brainly.com/question/28122560
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Answer:
I like baseball
Step-by-step explanation:
because I like baseball
Answer:
y - 8 = -2(x - 9)
Step-by-step explanation:
Given the slope, m = -2, and the point, (9, 8):
Let (x₁, y₁) = (9, 8)
slope (<em>m </em>) = -2
We can substitute these values into the following <u>point-slope form</u>:
y - y₁ = m(x - x₁)
y - 8 = -2(x - 9) ⇒ This is the point-slope form.
