MATHEMATICS
HIGH SCHOOL

Answer: The area of the kitchen is given by multiplying the length by the width

Area = 13.25×7.5 = 99.375 feet²

To make sure that we buy enough tiles, it is best to round the area to the nearest tenth or better still round up to the nearest integer

99.375 in nearest tenth is 99.4

99.375 rounded up to the nearest integer is 100

Area = 13.25×7.5 = 99.375 feet²

To make sure that we buy enough tiles, it is best to round the area to the nearest tenth or better still round up to the nearest integer

99.375 in nearest tenth is 99.4

99.375 rounded up to the nearest integer is 100

MIDDLE SCHOOL

Tx^2+3x-7=0 has two real solutions. What can be deduced from value of T?

Answer:

T > -9/28

Step-by-step explanation:

A quadratic has two real solutions when the discriminant (b² - 4ac) is positive.

b² - 4ac > 0

3² - 4(T)(-7) > 0

9 + 28T > 0

28T > -9

T > -9/28

MIDDLE SCHOOL

100 is the regular price if you buy one and get the other half price. Explain how this different from getting a 50% discount?

100 = x + x/2

3x/2 = 100

x = 200/3

if there was 50% discount:

buying 1 would be $33.33

buying 2 would be $66.67

3x/2 = 100

x = 200/3

if there was 50% discount:

buying 1 would be $33.33

buying 2 would be $66.67

MIDDLE SCHOOL

Lesson 2.1 - Relationships between Two Categorical Variables Application 2.1 Which finger is longer

Is there a relationship between gender and relative finger length? To investigate, a

random sample 452 U.S. high school students was selected. The two-way table shows

the gender of each student and which finger was longer on their left hand (index finger

or ring finger).

Index finger

Longer Ring finger

fingers

Same length

Total

Gender

Female Male | Total

78 45 123

82 152 234

52

212 240 452

43

96

1. Make a segmented bar chart to show the relationship between gender and relative

finger length

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HIGH SCHOOL

What is the equation of the translated function, g(x), if f(x) = x2? g(x) = (x + 5)2 + 2 g(x) = (x + 2)2 + 5 g(x) = (x – 2)2 + 5 g(x) = (x – 5)2 + 2

Given the graph of the function f(x) which is described by a parabola with the vertex at (0, 0) and the graph of the translated function g(x) which is described by a parabola with the vertex at (5, 2).

Notice, that the vertex of the translated function is 5 units to the right and 2 units up of the graph of f(x).

Thus, g(x) is obtained by translating the function f(x) 5 units to the right and 2 units up.

Recall that given a function described by a parabola with vertex at (h, k) as

A translation of a units to the right and b units up will result in

Therefore, the equation of the translated function, g(x) is given by

Notice, that the vertex of the translated function is 5 units to the right and 2 units up of the graph of f(x).

Thus, g(x) is obtained by translating the function f(x) 5 units to the right and 2 units up.

Recall that given a function described by a parabola with vertex at (h, k) as

A translation of a units to the right and b units up will result in

Therefore, the equation of the translated function, g(x) is given by

Translation of graph means to move the graph on the horizontal and vertical axis by shifting it. The equation of the translated function is,

Given information-

The given equation is,

In the given graph the function is at the origin with the coordinate (0,0).

As the power of variable is 2. Thus the function is the quadratic function and the graph is made for the parabola.

What is translation graph?Translation of graph means to move the graph on the horizontal and vertical axis by shifting it.

Original graph is shifted at (5,2). Thus the translated function has the coordinate (5,2).

The standard form of the parabola can be given as,

Here h,k are the vertex of the parabola.

The transaction is 5 units right and the 2 units up. Thus the equation can be given as,

Hence, the equation of the translated function is,

Learn more about the translation function here;

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