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Hitman42 [59]
3 years ago
9

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

Mathematics
1 answer:
murzikaleks [220]3 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
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kicyunya [14]

Answer:

i) 3*m*n + 7

Then we can write the first term as:

"3 times the product between two numbers"

Where the product of two numbers is m*n

And after that we need to add 7, then the complete sentence is:

"3 times the product between two numbers, increased by 7"

ii) x*y + (x + y)

The first part, x*y, can be written as:

"the product of two numbers"

where the two numbers are the number x and the number y.

After that, we add the sum of these two numbers, then the complete sentence can be:

"the product of two numbers, plus the sum of these two numbers"

8 0
3 years ago
Dinner for a family of 3 at the local Italian Eatery came to $47.83 before tax. If the family wanted to tip their server 20%, ho
EastWind [94]

Answer:

$9.57

Step-by-step explanation:

47.83 x 20% = 9.57

5 0
3 years ago
What is an equation of the line that passes through the points (0, 3) and (5,-3)?
Arisa [49]

Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

y = m\cdot x + b (Eq. 1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that (x_{1},y_{1}) = (0,3) and (x_{2},y_{2})=(5,-3), the following system of linear equations is constructed:

b = 3 (Eq. 2)

5\cdot m + b = -3 (Eq. 3)

The solution of the system is: b = 3, m = -\frac{6}{5}. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

5 0
3 years ago
Helppppppp
Yakvenalex [24]

Answer:

7 -if rounded to the nearest tenth would be 10

Step-by-step explanation:

The median is the number in the middle so

6-6-7-7-10-12-14

There are 7 numbers here so the middle number is 4 because there are 3 numbers before 4 and 3 numbers after 3 to get to 7 (that’s really hard to explain sorry but it’s a simple concept) my trick is to write it down then use two fingers to point at the first and last number and keep doing that moving in til I get to the middle number, which is 7. :)

6 0
3 years ago
Find the product and simplify.<br> (k+ 4)(-4k – 5)
torisob [31]
The answer is -4k^2 - 21k - 20! so sorry if I’m wrong but it’s the answer I got :>
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