Answer:
x = 7
Step-by-step explanation:
In an isosceles triangle, both legs are always congruent. The length of one leg is given, and the other leg has to be the same. The perimeter of this triangle can be written as:
With this equation, all you need to do is solve for x.
Answer:
5 cups
Step-by-step explanation:
hi! to find the sum of the soup mix, we have to add all the fractions together.
7/4 + 1/2 + 5/3 + 1/3 +1/4 + 1/2
we have to find a common denominator for each, which is the LCM of the denominators. this would be 12. let's change the fractions so we can add them up.
21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12
add the numerators and keep the denominators the same.
(21+6+20+4+3+6)/12
60/12
this simplifies to 5.
the total amount of soup mix is 5 cups.
well, when we use the word "the function" we're referring to the dependent part, which depends on the independent, y,x wise, we're referring to the function "y" or f(x) if you wish.
so for an exponential function
is the function ever positive only? it can be
is it negative only? it can be
can it be both? sure thing, most of the time it's both
we can say a function f(x) is always positive when the independent values of "x" yield a positive value only, mind you that when we're talking about "the function" we're really referring to the resulting values in a set, so can the values of the output no matter what "x" we use be always positive? sure, can they also be negative only? sure, how about both? sure thing.
notice the template in the picture below, we can transform any exponential function like the one above 2ˣ with some vertical shift upwards, and is always positive, or -2ˣ with a vertical shift downwards and it's always negative, or we can stretch it about and have -2ˣ shifted upwards so sometimes is positive, and sometimes is negative.
above the x-axis is always positive, below is negative, but with transformations on the parent function it can be any of the three types.
I think you intended writing #30 as his pay rise instead of #30000. I solved the problem using #30 as his annual pay rise.
Answer:
The man's initial salary was #714
Step-by-step explanation:
Extracting the key information from the question:
*** A man got a pay raise for 10 years.
*** His current salary is #1,014
*** He gets a pay raise of #30 annually.
*** We are simply required to calculate his initial salary before he started receiving pay rise.
Now, To calculate his initial salary before he started receiving pay rise, let us denote that initial salary that we are currently unaware of by "a".
Since his salary as at today is #1,014 and he has also received this pay rise of #30 for 10 years, we can calculate his initial salary before he started receiving pay rise every year with the following equation:
a + 30(10) = 1014
That is -
Initial salary + [pay rise × number of years] = current salary.
a + 30(10) = 1,014
a + 300 = 1014
a = 1014 - 300
a = #714
Therefore the man's initial salary was #714
Answer:it depends on the numbers you are using.
Step-by-step explanation:
