Answer: 12
Step-by-step explanation:
Answer: 0.17
Step-by-step explanation: To write 17/100 as a decimal, remember that the hundredths place is two places to the right of the decimal point.
This means that 17/100 can be written as the decimal 0.17. Notice that we put the last digit of 19 in the hundredths place.
A. Write the equations in slope-intercept form. (Show your work.)
B. Graph the pair of linear equations.
C. Use the graph to estimate the solution to the system of equations.
Help??
A. The first equation in slope-intercept form is y = -0.5x + 3. The second equation in slope-intercept form is y = 0.6x - 2.
B. The graph of the two equations is attached below.
C. The solution of the system of equation is (4.545,0.727)
A. To write the equations in slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept, we need to isolate "y" on one side of each equation.
1. 2x + 4y = 12
First, isolate "y" by subtracting 2x from both sides:
4y = -2x + 12
Next, divide both sides by 4 to get "y" by itself:
y = (-2x + 12) / 4
Simplify the equation:
y = -0.5x + 3
So, the first equation in slope-intercept form is y = -0.5x + 3.
2. 3x - 5y = 10
First, isolate "y" by subtracting 3x from both sides:
-5y = -3x + 10
Next, divide both sides by -5 to get "y" by itself:
y = (-3x + 10) / -5
Simplify the equation:
y = 0.6x - 2
So, the second equation in slope-intercept form is y = 0.6x - 2.
B. To graph the pair of linear equations, plot the y-intercept (where x = 0) and use the slope to find other points.
1. Graph the equation y = -0.5x + 3:
Plot the y-intercept at (0, 3).
Use the slope -0.5 to find another point; for example, if x = 2, then y = -0.5(2) + 3 = 2.
2. Graph the equation y = 0.6x - 2:
Plot the y-intercept at (0, -2).
Use the slope 0.6 to find another point; for example, if x = 3, then y = 0.6(3) - 2 = 0.
C. To estimate the solution to the system of equations, look for the point where the two lines intersect. This point represents the x and y values that satisfy both equations simultaneously. From the graph, we can interpret that the solution of the system of equation is (4.545,0.727)
To know more about equation:
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The number of permutations can be made of the letters of the word "radar" when taken all at a time is 30.
This is defined as ways in which n things can be arranged, taken all at a time.
P(n,r) = n!/(n-r)!
Radar has 5 words with 2r , 2a and 1d which means
5! / 2! 2! 1!
5! = 5×4×3×2×1 = 120
2! 2! 1! = 4
120/4 = 30
Read more about Permutation here brainly.com/question/1216161
Answer:
Step-by-step explanation:
An exponent is a mathematical symbol that tells us how many times to multiply a base number by itself.
In this case:
To simplify 3² × 3⁹, we can use the following rule of exponents:
Therefore, 3² × 3⁹ can be simplified as:
Therefore the answer in exponential form is:
Answer:
Step-by-step explanation:
using the rule of exponents
• × =
given
3² ×
=
=