In order to answer this question, we must break this mathematical expression up into a series of mathematical operations (exponent, multiplication,division, addition, and/or subtraction):
"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.
"cubed" - In order to "cube" a number, we must raise it to the third power, or have an exponent of 3. Our unknown number of x now becomes x3 because we raised it to the third power.
"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3
With all of the information we now have, we can form an algebraic expression for this problem.
"4 times a number cubed decreased by 3" now becomes:
4x3 - 7
1.A 2.D 3.B These are the answers I think is the choice to your question.
Answer:
The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm
Step-by-step explanation:
Given that the perimeter of the triangle = 63 cm
And the length of one side = 21 cm
and one of the medians is perpendicular to one of its angle bisectors
Since triangle has 3 sides,
Median = 63 ÷ 3 = 21
Therefore each side length = 21 cm
Hey so we would collect like terms: 5m+8
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Answer:
OPTION D
Step-by-step explanation:
We have to determine which option determines the function given above.
To determine the function, just substitute the values and compare LHS and RHS.
we have 



Here,
is the domain and
is the co-doamin.
Therefore, 
Now, OPTION A: 
Substitute x = 4. We get f(x) = 3
18.
So, OPTION A is rejected.
Similarly, OPTION B: 
Substitute x = 4. We get f(4) = 22
18.
It is rejected as well.
Now, for OPTION C: 
Substitute x = 4. We get f(4) = -3
18.
So, OPTION C is also rejected.
OPTION D: 
Substitute x = 4. We get f(4) = 18.
Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.