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(1) Describe the transformations that occurred from the parent function, \( y=\sqrt{x} \). Then
determine the new domain and range.
\( \begin{array}{ll}\text { a) } y=\sqrt{x+5} & \text { b) } y=-\sqrt{x-3}\end{array} \)
Pre Algebra
Nov 12, 2024
Simplify \( (2 x+3)(x-4) \)
A. \( \quad 2 x^{2}-8 \)
B. \( 2 x^{2}+7 x-12 \)
C. \( 2 x^{2}-11 x-12 \)
D. \( 2 x^{2}-5 x-12 \)
Algebra
Nov 10, 2024
EXERCICE 1
Pour chacune des affirmations suivantes, écris sur ta copie le numéro de la ligne pois vrai si l'affirmation est vraic ous
faux si elle est fausse.
1) Pour tout nombre \( x \), on a \( \left(x^{7}\right)^{3}=x^{10} \)
2) L'inverse de \( 8^{2} \) est \( 8^{-2} \)
3) L'expression \( \frac{3 x+1}{x+8} \) est un polynôme.
Algebra
Nov 09, 2024
Questão 1
A imagem, a seguir, mostra um farol e uma pilastra de
concreto cujas sombras são projetadas no mesmo
instante.
Geometry
Nov 09, 2024
3. Calcule las siguientes integrales:
(a) \( \int \frac{3 x^{3}-17 x^{2}+21 x-43}{x^{2}-8 x+15} d x \)
Calculus
Nov 09, 2024
Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national mean is
\( \$ 51,851 \), but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 46 colleges in the state and
calculate a mean salary of \( \$ 48,923 \) with a standard deviation of \( \$ 15,489 \). Test the instructors' claim at the 0.025 level of significance.
Step 3 of 3: Draw a conclusion and interpret the decision.
Statistics
Nov 08, 2024
\( 14 x^{8}-18+80 x \) entre \( 7 x-3 \)
Algebra
Nov 08, 2024
В якому трикутнику виконується теорема Піфагора?
Geometry
Nov 08, 2024
\( \begin{array}{l} \text { c. }\left\{\begin{array}{ll}\frac{6}{5} m-\frac{2}{3} n=4 \\ \frac{3}{4} m+\frac{5}{6} n=2\end{array}\right. \text { f. }\left\{\begin{array}{l}2 a-b=3 \\ 3 a-2 b=2\end{array}\right. \\ \text { d. }\left(\begin{array}{l}\frac{2}{3} q+1=-p \\ \frac{5 p}{2}-q=-\frac{21}{2}\end{array} \quad\left\{\begin{array}{l}\frac{2}{3} w-4 z=1 \\ \frac{1}{4} w-3 z=2\end{array}\right.\right. \\ \text { e. }\left\{\begin{array}{ll}3 w+z=1 \\ w+3 z=-1\end{array}\right. \text { h. }\left\{\begin{array}{l}\frac{4}{3} x-2 y=12 \\ 3 x+\frac{4 y}{5}=27\end{array}\right.\end{array} \)
Algebra
Nov 08, 2024
a. \( x^{2}-5 x+6=0 \)
Algebra
Nov 07, 2024
Math Essentials and How UpStudy Enhances Your Learning
Who Invented Math?
Math was less invented than found. Its roots are in prehistoric societies including Greece, Babylonia, and Egypt where early mathematical ideas including geometry, arithmetic, and simple number systems first found expression. While building on past contributions by others who came before, Euclid and Pythagoras were crucial in establishing mathematical theory during this age; today Carl Friedrich Gauss and Terence Tao continue to greatly enhance modern math.
What Does 'Mean' Mean in Math?
In math, the 'mean' is a type of average. To calculate the mean, you add all the numbers in a set together and divide by the number of values. This gives you a single number that represents the central tendency of the data. For example, if five students have scores of 8, 9, 5, 6, and 7, you add them up (35) and divide by 5, which gives a mean of 7. It’s an essential tool in statistics and helps summarize a set of data with just one number.
What Does 'Product' Mean in Math?
In math, the 'product' refers to the result you get when two or more numbers (called factors) are multiplied together. For example, the product of 2 and 3 is 6, since 2 × 3 = 6. The product is an essential concept in many areas of math, including algebra and geometry. It’s useful in everyday life too, such as when calculating the total cost of multiple items or determining the area of a rectangle.
How Can UpStudy Math Homework Bank Help You?
UpStudy Math Homework Bank is an invaluable tool for students aiming to excel at their math homework. By offering step-by-step solutions, students can quickly learn how to solve problems, understand key concepts, and enhance their problem-solving abilities. With basic arithmetic to advanced calculus topics covered on this platform - whether you need help solving an equation or want a revision ahead of an upcoming test - UpStudy Math Homework Bank provides the resources you need for success!