Tema
Q:
Consider the number pattern below:
\[ \frac{-3}{5} ; \frac{-6}{9} ; \frac{-9}{13} ; \ldots . \ldots \]
Determine the next two terms of the number pattern.
Determine the \( n^{\text {th }} \) term of the number pattern.
Q:
A 25 -year old woman burns \( 350-70 t \) cal/hr while walking on her treadmill. Her caloric intake from
drinking Gatorade is \( 135 t \) calories during the \( t \) th hour. What is her net decrease in calories after walking
for 4 hours?
Q:
Determine whether the following statment is true or false.
The graph of \( y=\frac{1}{7} g(x) \) is the graph of \( y=g(x) \) stretched by a factor of 7 .
Choose the correct answer below.
A. True, because the graph of the new function is obtained by adding 7 to each \( x \)-coordinate.
Balse, because the graph of the new function is obtained by multiplying each \( y \)-coordinate of \( y=g(x) \) by \( \frac{1}{7}<1 \).
C. True, because the graph of the new function is obtained by multiplying each \( y \)-coordinate of \( y=g(x) \) by 7 and
\( 7>1 \).
D. False, because the graph of the new function is obtained by adding 7 to each \( x \)-coordinate.
Q:
The postal service of a country charges \( \$ 0.36 \) postage for a letter weighing up to 1 ounce, plus \( \$ 0.26 \) for each
additional ounce up to 5 ounces. Letters weighing more than 5 ounces do not qualify for these rates.
\( C(x)=\left\{\begin{array}{ll}\$ \square & \text { if } 0<x \leq 1 \\ \text { (a) Write a piecewise-defined function } C \text { for the postage charged for a letter weighing } x \text { ounces. } \\ \$ \square & \text { if } 3<x \leq 4 \\ \$ \square & \text { if } 4<x \leq 5\end{array}\right. \)
Q:
Diketahui fungsi tujuan meminimumkan \( Z=x+5 y \)
dengan pembatas-pembatas sebagai berikut
\( x+y \leq 8 \)
\( 2 x-3 y \leq 6 \)
\( x \leq 5 \)
\( y \geq 1 \)
a. gambarkan daerah layak
b. tentukan Z minimum
Q:
8. \( [5-68 . c] \quad \) Write the explicit rule and
determine the 100 th term for the given
sequence. \( \quad 24,19,14, \ldots \)
Q:
Gegee die funksie \( f(x)=3^{-x} \).
6.1 Gee die vergelyking van \( g \) indien \( g \) die refleksie van \( f \) in die \( y \)-as is en wat
3 eenhede afwaarts geskuif word.
B.2 Bereken die \( x \)-afsnit van \( g \).
Q:
Vergelyk die volgende getalpatroon met die oorspronklike getalpatroon wat in
VRAAG 3.1 hierbo gegee is:
\[ 4 ; 28 ; 70 ; 130 ; \ldots \]
3.2.1 Beskryf, in woorde, hoe hierdie nuwe patroon gevorm is.
3.2.2 Bepaal die waarde van die \( 15^{\text {de }} \) term in hierdie patroon.
Q:
Use propenties of logarithms to condense
the logarithmic expression. Write the
expression as a single logarithm whose
coefficient is 1 . Where possible, evaluate
logarithmic expressions. \( 7 \ln (x-4) \) - \( 3 \ln x \)
Q:
Determina il valore dell'espressione in notazione scientifica :
\[ \left(1,2 \cdot 10^{3}-19 \cdot 10^{2}\right)^{2}:\left(0,07 \cdot 10^{3}\right) \cdot 0,03 \]
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