Answer:
f(3) = 7
Step-by-step explanation:
Set x equal to 3
2(3) + 1
7
Consider the below figure attached with this question.
Given:
To find:
The number of line that represents the solution of given inequality.
Solution:
We have,
Subtracting 6 from both sides, we get
If an inequality is multiplied or divide by a negative number, then the sign of inequality must be change.
Divide both sides by -4.
The value of x is less than -3. It means number of the left of -3 are included in the solution set but -3 is not included in the solution set.
So, there is an open circle at x=-3 on the number and an arrow from -3 towards left.
Therefore, the correct option is A.
Answer: -6<x<5
Step-by-step explanation:
Given
Length is 3 m more than three times the width
Suppose width is x
So, the length is 3x+3
The area of a rectangle is 
Area= 
A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).
Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.
Info given:
<span>the sum of the digits of a two-digit number is 6
x + y = 6 </span>
<span>if the digits are reversed, yx the difference between the new number and the original number is 18.
**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))
Original number = 10x + y
Reversed/New number = 10y + x
Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2
Now we have two equations in two variables
</span>y - x = 2
<span>x + y = 6
Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2
That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.
2 + y = 6
y = 4
number "xy" = 24
</span>
Answer:
$1077.283
Step-by-step explanation:
When complete the first year the amount will be:
1000 * 1.015= 1015
1.015 because the rate is added to the initial amount, that is: 100%+1.5% = 1 + 0.015= 1.015
When complete the second year the amount will be the last year amount adding the rate interest:
1015*1.015=1030.225.
To the third year:
1030.225*1.015=1045.678
To the fourth year:
1045.678*1.015=1061.363
To the fifth year:
1061.363*1.015=1077.283
