Answer:
-4, 2, -1
Step-by-step explanation:
everything is being multiplied by -1/2
32 × -1/2 = -16
-16 × -1/2 = 8
So 8 × -1/2 = -4
Anwser:
Y= -2(x)+5
Step by step explanation
Math class
Answer:
Dilate circle A by a scale factor of 3.
Step-by-step explanation:
Generally, similar figures have sides in the same ratio
3(5) = 15
When dilate A by factor 3, it will look exactly like B
There are 111 faculty members at the college and 629 students at the college.
Step-by-step explanation:
Given,
The student to faculty ratio = 17:3
Total number of 740.
Let,
x be the original number.
Number of students = 17x
Number of faculty = 3x
Number of students + Number of faculty = 740
Dividing both sides by 20
Number of students = 17x = 17*37 = 629
Number of faculty = 3x = 3*37 = 111
There are 111 faculty members at the college and 629 students at the college.
Keywords: ratio, multiplication
Learn more about multiplications at:
#LearnwithBrainly
Answer with explanation:
→→→Function 1
f(x)= - x²+ 8 x -15
Differentiating once , to obtain Maximum or minimum of the function
f'(x)= - 2 x + 8
Put,f'(x)=0
-2 x+ 8=0
2 x=8
Dividing both sides by , 2, we get
x=4
Double differentiating the function
f"(x)= -2, which is negative.
Showing that function attains maximum at ,x=4.
Now,f(4)=-4²+ 8× 4-15
= -16 +32 -15
= -31 +32
=1
→→→Function 2:
f(x) = −x² + 2 x − 3
Differentiating once , to obtain Maximum or minimum of the function
f'(x)= -2 x +2
Put,f'(x)=0
-2 x +2=0
2 x=2
Dividing both sides by , 2, we get
x=1
Double differentiating the function,gives
f"(x)= -2 ,which is negative.
Showing that function attains maximum at ,x=1.
f(1)= -1²+2 ×1 -3
= -1 +2 -3
= -4 +2
= -2
⇒⇒⇒Function 1 has the larger maximum.
