1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hitman42 [59]
2 years ago
9

Inimum value of y=4x^2+4x-35?

Mathematics
1 answer:
murzikaleks [220]2 years ago
8 0
Hello there!

There are two ways to find the minimum value of this function, but before I show you how, I am going to teach you a little bit about minimum value.

The minimum value on a parabola is the vertex or turning point. This means that the slope of the tangent line is horizontal, having a slope of 0.

The algebraic way to find the minimum or maximum value on a parabola is to use the formula -b/2a. Let's do it...

y=4x^2+4x-35
where a=4, b=4, and c=-35
-b/2a
-4/2(4)
-4/8
-1/2

Now let me show you the other way...
Take the derivative of
y=4x^2+4x-35
y'=8x+4
And set it equal to 0...
8x+4=0
8x=-4
x=-1/2

We got the same answer. Now that we know x=-1/2, plug this into the original equation to find y.
y=4x^2+4x-35
y=4(-1/2)^2+4(-1/2)-35
y=-1-2-35
y=-38

So the minimum point on this parabola is (-1/2,-38)

I really hope th
You might be interested in
HURRY PLS ANSWER NOW!!
ivolga24 [154]

Answer:

91 in2

Step-by-step explanation:

11+15 over 2 , times by 7 equals 91 ??

8 0
2 years ago
In january of one winter, 3/10 of a wood pile was used in a wood stove. In February, 2/5 of the wood pile was used. What part of
arsen [322]
2/5 is equivalent to 4/10 so at the end of February 4/10 was used up
And at the end of January, 3/10 was used
so 4/10 + 3/10 = 7/10

At the end of February, 7/10 of the wood was used
6 0
3 years ago
Bajo del Gualicho has an elevation of - 72 meters. Lago Enriquillo has an elevation of - 46 meters. Note
Harman [31]

Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.

Step-by-step explanation:

Since in this case the "elevations" are negative because are under sea level, we can call it depth.

In this sense, we are given the "elevations" or depths of two places:

Bajo del Gualicho: -72 m

Lago Enriquillo: -46 m

Keeping in mind we are actually talking about the depth of this places, we can  say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:

G>E

Where G represents Bajo del Gualicho and E represents Lago Enriquillo.

4 0
3 years ago
Read 2 more answers
g A program executes a mix of different instruction types. 25% of the instructions require two clock cycles to execute, 20% requ
Tomtit [17]

Answer:

1.8 cycles

Step-by-step explanation:

The average number of clock cycles per instruction is given by the sum of the product of each possible number of cycles by its likelihood.

1 cycle: 50%

2 cycles : 25%

3 cycles : 20%

4 cycles : 5%

Avg = 0.5*1+0.25*2+0.20*3+0.05*4\\Avg= 1.8\ cycles

The average number of clock cycles per instruction is 1.8.

8 0
3 years ago
BEST ANSWER GETS BRAINLIEST<br> What is 20c + 8d +10c - 5d
lukranit [14]
Combine like terms for 30c +3d
7 0
3 years ago
Read 2 more answers
Other questions:
  • Can the remainder in a division problem ever equal the divisor
    5·1 answer
  • What percent of 12.4 is 12.4
    10·1 answer
  • The likelihood that Sue makes a free throw in basketball is 73%. The likelihood that she makes a 3-point shot is 0.72. Which is
    5·1 answer
  • What is the third quartile, Q3, of the data represented by the box plot?
    9·1 answer
  • Directions for constructing the centroid of a triangle? ​
    14·1 answer
  • Factor. 2x2−3x−5 (2x+5)(x−1) (x−5)(2x+1) (2x−5)(x−1) (2x−5)(x+1)
    12·2 answers
  • A polygon has the following coordinates: A(-4,4), B(-1,1), C(-6,1). Find the length of BC.
    15·1 answer
  • James read an equal number of pages of his book each night for 8 nights to prepare for his upcoming exam. During this time, he h
    7·2 answers
  • Which choice is equivalent to (4^2)(4^3)? <br> A: 4^6<br> B:4^5<br> C:64<br> D:16
    11·2 answers
  • What is the slope if the line? M=__​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!