Answer:
EF=35
EG=22
Step-by-step explanation:
EF
7y-14=2y+21
5y=35
y=7
EF=7(7)-14=49-14=35
EG
15x+7=12x+10
3x=3
x=1
EG=15(1)+7=15+7=22
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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Aren’t you supposed to multiply the exponents to where it’s 5^24 ?
Answer:
D assuming the black dot means multiplied
Step-by-step explanation:
Answer:
975 girls
Step-by-step explanation:
To find 65% of 1500, multiply 1500 by .65 (to convert percentages to decimals, just move a decimal point over two spaces).
1500*.65=975
You can check that this answer is right with logic. Most of the students will be girls (more than 50%) and 975 makes up most of 1500.
Someone else asked this same question a while ago, and you can find their explanation here brainly.com/question/969975
