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Leto [7]
4 years ago
7

Y=89.99+36.55(x-1) as a Y=ax+b equation

Mathematics
1 answer:
natulia [17]4 years ago
3 0

Answer:

y=89.99+36.55\left(x-1\right)  can be written as  y=36.55x+53.44 which is into the form y=ax+b.

Step-by-step explanation:

Considering the expression

y=89.99+36.55\left(x-1\right)

y\:=89.99+36.55x-36.55

y=36.55x+53.44

writing into the form of the equation

y=ax+b

so

y=36.55x+53.44

Here:

  • a = 36.55x
  • b = 53.44

Therefore,  y=89.99+36.55\left(x-1\right)  can be written as  y=36.55x+53.44 which is into the form y=ax+b.

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For each sentence below, find the value of x that makes each sentence true.
vitfil [10]

<u>ANSWER</u>

1. x=\frac{1}{2}


2. x=1


<u>QUESTION 1</u>

The first sentence is (5^{\frac{1}{5}})^5=25^x.


Recall that;

(a^m)^n=a^{mn}


We simplify the left hand side by applying this property to get;


5^{\frac{1}{5}\times 5}=25^x.


\Rightarrow 5^{1}=25^x.


We now rewrite the right hand side too in an index form to obtain;


\Rightarrow 5^{1}=5^{2x}

We now equate the exponents to get;

\Rightarrow 1=2x.


\Rightarrow \frac{1}{2}=x


\Rightarrow x=\frac{1}{2}.


<u>QUESTION 2</u>

The second sentence is (8^{\frac{1}{3}})^2=4^x


We simplify the left hand side first to get;

(2^{3\times \frac{1}{3}})^2=4^x


2^2=4^x


We now rewrite the left hand side too in index form to obtain;


2^2=2^{2x}

We equate the exponents to get;

2=2x


This implies that;


1=x

or

x=1

4 0
3 years ago
A video game displays 132 frames in 6 seconds on Penelope's computer. What is the rate in frames per second?
juin [17]

Answer:

unit\ rate=22\ frames\ per\ second

Step-by-step explanation:

we know that

To find the unit rate , divide the total frames by the total seconds

Let

x ----> the total frames displayed by the video game

y ----> the total seconds

unit\ rate=\frac{x}{y}

we have

x=132\ frames\\y=6\ seconds

substitute the values

unit\ rate=\frac{132}{6}=22\ frames\ per\ second

8 0
4 years ago
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trasher [3.6K]
(3t² +t -12t - 4)(t+2)=0
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7 0
3 years ago
Read 2 more answers
What is the estimate of 6296
Papessa [141]
Ans:6300


Explanation: Estimating the value of 6296+0
Round up the number 6296 to 6300.
6300+0
Round up the number 0 to 0.
6300+0
Add 0 to 6300.
6300
6296+0≈6300
The Estimated Value of 6296+0 is 6300.
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1 year ago
-x + 3/2 = -y know how to do the Y equals MX plus b ​
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Answer:

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Step-by-step explanation:

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