Math Problem Statement

Answer each number correctly

Answer each number correctly

Solution

I can now see the image. Let's proceed to solve each problem. I'll break it down:

21. If f(x)=2x+3f(x) = 2x + 3, what is f(4)f(4)?

f(4)=2(4)+3=8+3=11Answer: C. 11f(4) = 2(4) + 3 = 8 + 3 = 11 \quad \text{Answer: C. 11}

22. Given f(x)=x25x+6f(x) = x^2 - 5x + 6, what is f(2)f(2)?

f(2)=(2)25(2)+6=410+6=0Answer: A. 0f(2) = (2)^2 - 5(2) + 6 = 4 - 10 + 6 = 0 \quad \text{Answer: A. 0}

23. If f(x)=3x7f(x) = 3x - 7, find f(1)f(-1).

f(1)=3(1)7=37=10Answer: C. -10f(-1) = 3(-1) - 7 = -3 - 7 = -10 \quad \text{Answer: C. -10}

24. Given f(x)=1x+1f(x) = \frac{1}{x+1}, what is f(0)f(0)?

f(0)=10+1=1Answer: A. 1f(0) = \frac{1}{0+1} = 1 \quad \text{Answer: A. 1}

25. If g(x)=4x9g(x) = 4x - 9, what is g(3)g(3)?

g(3)=4(3)9=129=3Answer: C. 3g(3) = 4(3) - 9 = 12 - 9 = 3 \quad \text{Answer: C. 3}

26. If f(x)=x2+2x3f(x) = x^2 + 2x - 3, what is f(2)f(-2)?

f(2)=(2)2+2(2)3=443=3Answer: C. -3f(-2) = (-2)^2 + 2(-2) - 3 = 4 - 4 - 3 = -3 \quad \text{Answer: C. -3}

27. Given f(x)=5x23x+7f(x) = 5x^2 - 3x + 7, what is f(1)f(1)?

f(1)=5(1)23(1)+7=53+7=9Answer: A. 9f(1) = 5(1)^2 - 3(1) + 7 = 5 - 3 + 7 = 9 \quad \text{Answer: A. 9}

28. If h(x)=x3xh(x) = x^3 - x, find h(2)h(2).

h(2)=232=82=6Answer: B. 6h(2) = 2^3 - 2 = 8 - 2 = 6 \quad \text{Answer: B. 6}

29. Given f(x)=7x5f(x) = 7x - 5, what is f(2)f(-2)?

f(2)=7(2)5=145=19Answer: A. -19f(-2) = 7(-2) - 5 = -14 - 5 = -19 \quad \text{Answer: A. -19}

30. If f(x)=2x3f(x) = \frac{2}{x} - 3, find f(5)f(5).

f(5) = \frac{2}{5} - 3 = \frac{2}{5} - \frac{15}{5} = \frac{-13}{5} \quad \text{Answer: C. \frac{2}{3}}

31. What is the result of 5+(3)5+(3)5+(3)5 + (-3)5 + (-3)5 + (-3)?

5+(15)+(15)+(3)=515153=28Answer: A. -285 + (-15) + (-15) + (-3) = 5 - 15 - 15 - 3 = -28 \quad \text{Answer: A. -28}

32. Solve 6+(4)6+(4)6+(4)-6 + (-4) - 6 + (-4) - 6 + (-4).

6+(4)+(6)+(4)=1064=30Answer: A. -30-6 + (-4) + (-6) + (-4) = -10 - 6 - 4 = -30 \quad \text{Answer: A. -30}

33. What is 7(2)7(2)77(-2)7 - (-2)7?

7(14)(14)=98+14=84Answer: A. -84 (seems typo in options)7(-14) - (-14) = -98 + 14 = -84 \quad \text{Answer: A. -84 (seems typo in options)}

34. Solve 535353-5 - 3 - 5 - 3 - 5 - 3.

535353=24Answer: A. -24-5 - 3 - 5 - 3 - 5 - 3 = -24 \quad \text{Answer: A. -24}

35. What is the product of 4×64×64×6-4 \times 6 - 4 \times 6 - 4 \times 6?

4(6)4(6)4(6)=242424=72Answer: B. -72-4(6) - 4(6) - 4(6) = -24 - 24 - 24 = -72 \quad \text{Answer: B. -72}


Do you have any questions or need further details on any of these?

Relative Questions:

  1. How does the slope in linear equations like f(x)=2x+3f(x) = 2x + 3 affect the output values?
  2. What happens to the graph of a quadratic function when the coefficients change?
  3. How can you identify the vertex of a quadratic function without graphing it?
  4. Why is f(0)f(0) undefined in certain rational functions like 1x+1\frac{1}{x+1}?
  5. How do you simplify expressions involving products and sums of negative numbers?

Tip: When working with quadratic equations, always check if the equation can be factored to simplify solving it.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Equations
Quadratic Equations
Rational Functions
Polynomial Functions
Negative Number Arithmetic

Formulas

Linear Equation: f(x) = mx + b
Quadratic Equation: f(x) = ax^2 + bx + c
Rational Function: f(x) = 1/(x + 1)
Polynomial: f(x) = x^n - x
Product of Negative Numbers

Theorems

Quadratic Formula
Properties of Rational Functions
Polynomial Evaluation
Simplifying Negative Products

Suitable Grade Level

Grades 7-10