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Elena-2011 [213]
2 years ago
13

How to find the least value of quadratic expression 5-(x+3)^2

Mathematics
1 answer:
Mariana [72]2 years ago
5 0
Least value  is negative infinity
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Teri ran 8 kilometers
viva [34]

Answer:

teri is tired

Step-by-step explanation:

from running

7 0
3 years ago
A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra
Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

z=1

\frac{dx}{dt}=430

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

y=2

According to Pythagoras

hypotenuse^2=base^2+perpendicular^2

y^2=x^2+1^2

y^2=x^2+1               .... (1)

Put z=1 and y=2, to find the value of x.

2^2=x^2+1^2

4=x^2+1

4-1=x^2

3=x^2

Taking square root both sides.

\sqrt{3}=x

Differentiate equation (1) with respect to t.

2y\frac{dy}{dt}=2x\frac{dx}{dt}+0

Divide both sides by 2.

y\frac{dy}{dt}=x\frac{dx}{dt}

Put x=\sqrt{3}, y=2, \frac{dx}{dt}=430 in the above equation.

2\frac{dy}{dt}=\sqrt{3}(430)

Divide both sides by 2.

\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}

\frac{dy}{dt}=372.390923627

\frac{dy}{dt}\approx 372

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0
3 years ago
Which expression is equal to (−4x2−1)(2x2+3)?
Leya [2.2K]

Answer:

The first one:

−8x4−14x2−3

Step-by-step explanation:

(-4•2-1)(2•2+3)

-4•2 = -8

-8 - 1 = -9

(-9)(2•2+3)

2•2 = 4

4+3 = 7

(-9)(7) = -63

Now we find the one that equals -63:

-8•4-14•2-3

(-8•4)-14•2-3

-32-14•2-3

-32-(14•2)-3

-32-28-3

(-32-28)-3

-60-3

-60-3 = -63

BAM! THE ANSWER!

7 0
3 years ago
Read 2 more answers
Please see the question attached and pleaaasssseeeeeeeee help god will bless youu
patriot [66]
I think You should break it down to the First and third One because of

7 0
3 years ago
A bakery has the following pricing for large orders of cupcakes. The first 100 cupcakes of any order
Taya2010 [7]

A piecewise function is a function that behaves differently in different intervals of its domain.

The answers are:

a)

f(x) = x*$2.00    if 0 ≤ x ≤ 100

f(x) = x*$1.75     if  100 < x ≤ 250

f(x) = x*$1.25     if    x > 250.

b)  $306.25

The given information is:

The first 100 cupcakes cost $2.00 each.

If the order is between 100 and 250 cupcakes, the cost is $1.75 each.

If the order is more than 250 cupcakes, the cost is $1.25 each.

a) Now we want to write the piecewise function, this will be:

f(x) = x*$2.00    if 0 ≤ x ≤ 100

f(x) = x*$1.75     if  100 < x ≤ 250

f(x) = x*$1.25     if    x > 250.

Above you can see the piecewise function, when you want to evaluate it, the first thing you need to do is to find at which interval the input belongs.

b) If you order 175 cupcakes you have x = 175.

This belongs to the second interval ( 100 < x ≤ 250) then we will use the second part of the function:

f(175) = 175*$1.75 = $306.25

If you want to learn more, you can read:

brainly.com/question/12561612

8 0
2 years ago
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