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3 years ago

The area of another rectangle is x² + 5x + 6. If one side measures (x + 2), what is the measure of the other

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

L=x+2
We need B

$\\ \sf\longmapsto LB=Area$

$\\ \sf\longmapsto B(x+2)=x^2+5x+6$

$\\ \sf\longmapsto B(x+2)=(x+2)(x+3)$

Cancel x+2

$\\ \sf\longmapsto B=x+3$

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The graph of g(x) is a transformation of the graph of f(x)=3x. Enter the equation for g(x) in the box. G(x) =.

dalvyx [7]

Function transformation involves changing the form of a function

The function g(x) is $\mathbf{g(x) = 8(2)^x}$

The function is given as:

$\mathbf{f(x) = 3^x}$

g(x) is an exponential function that passes through points (-2,2) and (-1,4).

An exponential function is represented as:

$\mathbf{y = ab^x}$

At point (-2,2), we have:

$\mathbf{2 = ab^{-2}}$

At point (-1,4), we have:

$\mathbf{4 = ab^{-1}}$

Divide both equations

$\mathbf{\frac 42=\frac{ab^{-1}}{ab^{-2}}}$

Simplify

$\mathbf{2=\frac{b^{-1}}{b^{-2}}}$

Apply law of indices

$\mathbf{2=b^{-1+2}}$

$\mathbf{2=b}$

Rewrite as:

$\mathbf{b =2}$

Substitute 2 for b in $\mathbf{2 = ab^{-2}}$

$\mathbf{2 =a(2^{-2})}$

This gives

$\mathbf{2 =a(\frac 14)}$

Multiply both sides by 4

$\mathbf{a = 8}$

Substitute 8 for (a) and 2 for (b) in $\mathbf{y = ab^x}$

$\mathbf{y = 8(2)^x}$

Express as a function

$\mathbf{g(x) = 8(2)^x}$

Hence, the function g(x) is $\mathbf{g(x) = 8(2)^x}$

Read more about exponential functions at:

brainly.com/question/11487261

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3 years ago

At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams o

pshichka [43]

We are given with the data of 490 milligrams of sodium content of burrito and 700 milligrams of sodium content of peanut butter sandwich. The total sodium consumption should be less than 4000 milligrams. We are told to represent he number of microwave burritos as x and the number of peanut butter sandwiches as y. The inequality equation thus is 490 x + 700 y ≤ 4000.

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3 years ago

Read 2 more answers

Grant's credit card has an apr of 11.28% and it just changed its compounding period from monthly to daily . What happen to the i

madreJ [45]

Answer:

C. It will increase by about 0.6%

Step-by-step explanation:

Since, the effective interest rate is,

$r=(1+\frac{i}{n} )^{n} -1$

Where, i is the stated interest rate,

n is the number of compounding periods,

Here, i = 11.28 % = 0.1128,

n = 365 ( 1 year = 365 days ),

Hence, the effective interest rate would be,

$r=(1+\frac{0.1128}{365})^{365} -1$

=0.119388521952

Now, the changes in effective interest rate = Effective interest rate - Stated interest rate

= 0.119388521952 - 0.1128

= 0.006588521952 ≈ 0.006 = 0.6 %

Hence, It will increased by about 0.6 %,

Option A is correct.

Hope this helps :)

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3 years ago

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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