Answer:
The system of inequalities 45 > 4x + 9 and 53 ≤ 4x + 9 doesn't have any solution, because the restrictions on x are contradictory (x can't be both less than 9 and greater than or equal to 11).
Step-by-step explanation:
These are a set of compound inequalities. Let's solve these equations step by step. The first inequality 45 > 4x + 9, we start to solve it by subtracting 9 from both sides of the inequality, which gives us 36 > 4x. Then, we divide each side by 4 to get x < 9.
The second inequality is 53 ≤ 4x + 9. We solve this by subtracting 9 from both sides to get 44 ≤ 4x. Then, we divide each side by 4 to find x ≥ 11.
However, these two results are contradictory (as x cannot be both less than 9 and greater than or equal to 11 simultaneously). So, there is no solution to this system of inequalities.
B.) {(3, -3), (9, -6), (3, -9)}
C.) {(3, -3), (9, -6), (9, 2), (0, -9)}
D.) {3,9,0,-4}
Answer:
The function is expressed by answer A
Step-by-step explanation:
A function is a mathematical expression in which, for an independent variable , usually called x, we obtain one and only one value after applying the function, usually known as the dependent variable y.
D is not a function as we do not have two corresponding values or coordinate pairs. We only have a list of numbers
In C, B and A we have pairs of coordinate values expressed as (x,y) the independent and dependent variable.
In expression B, we see that the for the value of x=3 in ponts 1 (3.-3) and (3.-9) , the value 3 has two resulting values of y , -3 and -9, so this coordinates do not represent a function.
In option C, occurs something similar in this case with x =9. x=9 has two values in y : y=-6 and y= 2 so these points do not define a function
In A each x value (3.9.0) has a unique avlue of y (-3,-6,-9) so this is a function.
Answer: Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $1
Step-by-step explanation:
Let x be the cost of each item bought by Spongebob.
Then, cost of each item bought by Patrick = x- 1.50
Then, cost of 3 items bought by Spongebob = 3x
Cost of 5 items bought by Patrick = 5(x-1.50)
If both Spongebob and Patrick paid the same amount of money then
Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $2.5-$1.5=$1
Hence, Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $1
Answer: Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $1
Step-by-step explanation:
Let x be the cost of each item bought by Spongebob.
Then, cost of each item bought by Patrick = x- 1.50
Then, cost of 3 items bought by Spongebob = 3x
Cost of 5 items bought by Patrick = 5(x-1.50)
If both Spongebob and Patrick paid the same amount of money then
Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $2.5-$1.5=$1
Hence, Cost of each item bought by Spongebob = $2.5
Cost of each item bought by Patrick = $1
A.
Square ABCD is rotated 270° clockwise and then dilated by a scale factor of 1/3 to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
B.
Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
C.
Square ABCD is dilated by a scale factor of 4/5 and then translated 1 unit right to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
D.
Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
body at a rate of 9.5% per hour, how much
caffeine will be in his body from this cup of
coffee 6 hours from now?
Answer:
it should be 43 percent left
Step-by-step explanation: