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3 years ago

Please help!! Will give medal!!

Mathematics

2 answers:

Marina86 [1]3 years ago

7 0

Answer:

Step-by-step explanation:

We are given three functions and we have to find which one has the smallest minimum.

I function is

$f(x) = -5sin(2x-\pi) +2$

Since sine varies from -1 to 1, we get this function has a minimum when sine takes value 1.

Minimum of f(x) =1(-5)+2 =-3

II function is

a graph of parabola with minimum at x=3 and y =-2

III function is shown in tabular form.

From the table we find that minimum is x=1 y=3

Tabulating we have

f(x) (3pi/4, -3)

g(x) (3,-2)

h(x) (1,3)

Smallest is for f(x) with least value of -3

Kazeer [188]3 years ago

6 0

The minimum value for f(x) is pretty straight-forward. -5+2=-3

We can tell by looking at the graph of g(x) that its minimum is -2

By symmetry the table shows a minimum of 3

So f(x) has the smallest minimum.

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PLEASE PLEASE PLEASEE UGENT I don’t know how to solve these questions

MrRa [10]

Answer:

Step-by-step explanation:

1). In ΔTPW and ΔGHD,

Triangles will be congruent by the properties of congruence,

1). SSS - (Sides - Side - Side) property of congruence

2). SAS - (Side - Angle - Side) property of congruence

3). ASA - (Angle - Side - Angle) property of congruence

2). ΔABE ≅ ΔMNP

∠A ≅ ∠M

∠B ≅ ∠N

∠E ≅ ∠P

Side AB ≅ Side MN

Side AE ≅ Side MP

Side BE ≅ Side NP

Another way to write the congruency statement → ΔAEB ≅ ΔMPN

3). ΔQRY ≅ ΔJLS

∠Q ≅ ∠J

∠R ≅ ∠L

∠Y ≅ ∠S

Side QR ≅ Side JL

Side RY ≅ Side LS

Side QY ≅ Side JS

Anthe way to write the congruency statement → ΔQYR ≅ ΔJSL

3 0

3 years ago

A rectangular driveway has an area of 880 square feet and a perimeter of 128 feet. What are the dimensions of the driveway?

mamaluj [8]

Answer:

Dimensions are 20 X 44 feet

Step-by-step explanation:

First we need to build two equations:

For area X times Y = 880

For Perimeter 2x + 2y = 128

Now we need to solve one so we can substitute it into the other:

2x + 2y = 128 becomes

2x = 128 - 2y and then

x = 64 - y We will substitute this into the are equation

(64 - y)y = 880

64y - $y^{2}$ = 880

- $y^{2} + 64y -880 = 0$

factor out the negative

-( $y^{2} - 64y +880 = 0$

Factor:

-(y - 20)(y - 44) = 0

y-20 = 0 and y - 44 = 0

y = 20 and y = 44

Plugging these in two both of our formulas works

20 X 44 = 880 for area

2(20) + 2 (44) = 128 for perimeter

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3 years ago

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Aleks04 [339]

Answer & step-by-step explanation:

<em>a) impossible</em>

<em>b) the sum of the angles in a triangle is 180°</em>

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4 years ago

A plane travels at a rate of 425 miles per hour. Write an expression to show the distance it travels, if t represents hours.

Anni [7]

D=425t

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4 years ago

HELP FASTTTT

UkoKoshka [18]

The line plot illustrates the capacity of the kitchen sink in gallons, and it has a sample size is 21. The distribution is positively skewed, with an appropriate measure of center is 16 and an appropriate measure of spread is 2.5

<h3>The description of the data</h3>

The dataset on the line plot represents the capacity of the kitchen sink.

The capacities are measured in gallons

<h3>The number of data values</h3>

This is the number of dots on the line plot.

There are 21 dots on the plot

Hence, the number of data values is 21

<h3>The shape of the distribution</h3>

The shape of the given distribution is positively skewed.

This is so because there are more points on the left of the distribution

<h3>Appropriate measure of center</h3>

The median is the appropriate measure of center for a skewed distribution.

So, we simply calculate the median.

The median position is calculated using

Median = 0.5 * (n + 1) th

So, we have:

Median = 0.5 * (21 + 1) th

Median = 11th

The 11th data element is 16

Hence, the value of an appropriate measure of center is 16

<h3>Appropriate measure of spread</h3>

The IQR is the appropriate measure of spread for a skewed distribution.

The IQR is:

IQR = Q3 – Q1

Where:

Q3 = 0.75(n + 1)th and Q1 = 0.25(n + 1)th

This gives

Q3 = 0.75 * (21 + 1)th = 16.5

Q1 = 0.25(21 + 1)th = 5.5

The 16.5th element is 17.5, while the 5.5th element is 15

Recall that:

IQR = Q3 – Q1

So, we have:

IQR = 17.5 - 15

Evaluate

IQR = 2.5

Hence, the value of an appropriate measure of spread is 2.5