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Show how algebra can be used to work out each of these

Show how algebra can be used to work out each of these without a calculator. a. [tex]268^2 - 232^2[/tex] b. [tex]469 \times 548 + 469^2 - 469 \times 17[/tex] c.

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Let [tex]$f(x) = 7x - 4$[/tex].What is [tex]$f(6)$[/tex]?A. 42 B. 46 C.

Let [tex]$f(x) = 7x - 4$[/tex].What is [tex]$f(6)$[/tex]?A. 42 B. 46 C. 48 D. 38

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Kara drove 36.9 miles before her car broke down. If Kara lives

Kara drove 36.9 miles before her car broke down. If Kara lives 45.55 miles away from work, how much further does she need to travel?

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Linda had an orange ribbon and a blue ribbon. The orange ribbon

Linda had an orange ribbon and a blue ribbon. The orange ribbon was 2 meters long. The blue ribbon was \(\frac{4}{5}\) as long as the orange ribbon. Linda cut off

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If \( f(x) \) is an exponential function where \( f(4.5) =

If \( f(x) \) is an exponential function where \( f(4.5) = 5 \) and \( f(9.5) = 46 \), what is the value of \( f(6) \) to the

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The distance between two locations, A and B, is calculated using a

The distance between two locations, A and B, is calculated using a third location, C, at a distance of 15 miles from location B. If \(\angle B = 105^\circ\) and

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Exponential function [tex] f [/tex] is represented by the table: [tex] \begin{array}{cccccc}

Exponential function [tex] f [/tex] is represented by the table: [tex] \begin{array}{cccccc} x & -2 & -1 & 0 & 1 & 2 \\ f(x) & -46 & -22 &

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A cubical block of ice 50.0 cm on an edge is placed

A cubical block of ice 50.0 cm on an edge is placed on a level floor over a speck of dust. Locate the image of the speck when viewed from

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What is [tex]$f(5)$[/tex] when [tex]$f(x) = -2x^2 + 7x - 4$[/tex]? A.

What is [tex]$f(5)$[/tex] when [tex]$f(x) = -2x^2 + 7x - 4$[/tex]? A. -33 B. -54 C. -84 D. 46

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The table below shows the United States federal education spending in billions

The table below shows the United States federal education spending in billions of dollars for selected years: [tex]\[ \begin{tabular}{|l|l|} \hline 2012 & \$109.3 \\ \hline 2013 & \$105.1 \\ \hline

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A patient has an illness that typically lasts about 24 hours. The

A patient has an illness that typically lasts about 24 hours. The temperature, \( T \), in degrees Fahrenheit, of the patient \( t \) hours after the illness begins

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Explain how to convert 100.2 degrees Fahrenheit to Celsius using the formula

Explain how to convert 100.2 degrees Fahrenheit to Celsius using the formula [tex]C = \frac{5}{9}(F - 32)[/tex].

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From our previous lesson about cell division (specifically about humans), choose which

From our previous lesson about cell division (specifically about humans), choose which statement is true: A. Eggs: 46 chromosomes = haploid = n B. 2 chromosomes = diploid = 2n

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Given the data set: 51.9, 24.1, 32.5, 78.6, 64.5, 39.4 Determine the

Given the data set: 51.9, 24.1, 32.5, 78.6, 64.5, 39.4 Determine the quartiles: - First quartile (Q1) = 32.5 - Second quartile (Q2, median) = - Third quartile (Q3) =

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Pia, Lily, and Eric each have the same length of ribbon. Pia

Pia, Lily, and Eric each have the same length of ribbon. Pia cuts her ribbon into 10 equal pieces and uses 7 of them on a skirt. Lily cuts her

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