Answer:
a) The algebraic notation is 4 ( x -3 ) = 4x -3
b) The algebraic notation is 2x +2
Step-by-step explanation:
<u><em>Explanation:-</em></u>
a)
Let 'x' be the number
Given 'x' is a number, subtract three
⇒ x - 3 and multiply '4'
The result of algebraic is 4 ( x -3 ) = 4x -3
b)
<em>Let 'x' be a number and add one</em>
⇒ (x+1) and then double
∴ The algebraic notation is
(x+1 ) (2) = 2x +2
Answer:
They speak more with an average of 5,000 words a day.
Step-by-step explanation:
35,000 ÷ 7 = 5,000
Answer:
Perimeter: 16x + 16
Area: 40x + 15
Step-by-step explanation:
Remember, the perimeter is the sum of all the sides of a figure, it can be found by adding up all the sides. The area is the space within the figure, in the case of a quadrilateral can be found by multiplying the length by the width. Finally, in a rectangle, the opposite sides are congruent, parallel, and intersect in 90degree (right) angles.
Using this,
1. Find the perimeter
Since opposite sides are congruent, there will be two sides with a measure of ( 8x + 3 ), and two sides with the measure of 5. Hence the sum of all the sides would be
8x + 3 + 8x + 3 + 5 + 5
Add them together,
16x + 16.
The perimeter of the figure is 16x + 16
2. Find the area,
To find the area of a rectangle, multiply the length by the width.;
( 8x + 3 ) * 5
Distribute:
40x + 15
The area of the figure is 40x + 15
First, find 12% of $8.50.
12% of $8.50 = 12% * $8.50 = 0.12 * $8.50 = $1.02
The raise is $1.02 per hour.
$8.50 + $1.02 = $9.52
Hear new hourly earnings are $9.52/hour.
The correlation coefficient tells that every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Using technology
The mean= x bar = 26.4667
The mean = y bar= 0.86
The standard deviation= Sx= 0.2251
The standard Deviation Sy= 0.0438
The Correlation Coefficient= r = -0.8111
The slope= b= r* Sy/Sx= -0.15789
The intercept is 5.0389
(d)<u><em> Every increase </em></u>in sea <u><em>surface temperature</em></u> of one degree Celsius will result in an average of <em><u>0.1578 fewer</u></em> centimeters of <em><u>coral growth</u></em> per year.
Here the independent variable is X the sea surface temperature and dependent variable is the Y coral growth.
As the temperature decreases which is along x- axis the growth increases along y axis.
From the given options the option d is the best answer according to the question given.
The same values are calculated using different technology .
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