Answer:
There are 25 males and 21 females in the class
Step-by-step explanation:
Let us use the equation to solve the question
∵ A Spanish class has a total of 46 students
∵ The number of males is 4 more than the number of females
→ Assume that the number of females is x
∵ The number of females = x
∴ The number of males = x + 4
→ Add the numbers of males and females and equate the sum by 46
∴ x + x + 4 = 46
→ Add the like terms in the left side
∴ 2x + 4 = 46
→ Subtract 4 from both sides
∴ 2x + 4 - 4 = 46 - 4
∴ 2x = 42
→ Divide both sides by 2
∴ ![\frac{2x}{2}=\frac{42}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B42%7D%7B2%7D)
∴ x = 21
∵ x represents the number of females
∴ There are 21 females
∵ x + 4 represents the number of males
∴ The number of males = 21 + 4 = 25
∴ There are 25 males
Answer:
119
Step-by-step explanation:
they are a square so the length is 7. 7in per board times 17 boards total is 119
If 5 were added to the sum, it would be 4 times Maggies age.
Maggie is (31+5)/4 = 9 years old.
_____
Let m represent Maggie's age. Then her brother's age is 3m-5, and the sum of their ages is ...
31 = m + (3m -5)
36 = 4m . . . . . . . simplify and add 5
9 = m . . . . . . . . . divide by 4
Answer:
The range of the function is {-1 , -11 , 7}
Step-by-step explanation:
- The range is the resulting values of y we get after substituting all
the possible values of x
- The domain of the function is the values of x
- The range of the function is the values of y corresponding to the
values of x ⇒ [y = f(x)]
∵ f(x) = -2x² + 7
∵ The domain D = {2 , -3 , 0}
- We need to find the values of f(x) corresponding to x = 2 , x = -3
and x = 0
- Substitute the values of x in f(x)
∵ x = 2
∴ f(2) = - 2(2)² + 7
∴ f(2) = -2(4) + 7
∴ f(2) = -8 + 7
∴ f(2) = -1
∵ x = -3
∴ f(-3) = - 2(-3)² + 7
∴ f(-3) = -2(9) + 7
∴ f(-3) = -18 + 7
∴ f(-3) = -11
∵ x = 0
∴ f(0) = - 2(0)² + 7
∴ f(0) = -2(0) + 7
∴ f(0) = 0 + 7
∴ f(0) = 7
The range of the function is {-1 , -11 , 7}
the rule is look for the same number.