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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 9: Q87. (page 535)

Find each product.
$(2 x - 1) (x + 9)$

Short Answer

Expert verified

The product of $(2 x - 1) (x + 9)$ is $2 x^{2} + 17 x - 9$ .

Step by step solution

01

Step 1. Write distributive property.

For any numbers, a,b and c, $a (b + c) = a b + a c$ .

02

Step 2. Apply the distributive property.

Apply the distributive property to the given expression.

$2 x (x + 9) - 1 (x + 9) = 2 x \cdot x + 2 x \cdot 9 - 1 \cdot x - 1 \cdot 9$

03

Step 3. Multiply and simplify.

Multiply terms in the above expression and simplify them further.

$2 x^{2} + 18 x - x - 9 = 2 x^{2} + 17 x - 9$

Therefore, the product of $(2 x - 1) (x + 9)$ is $2 x^{2} + 17 x - 9$ .

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Most popular questions from this chapter

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Jason is playing games at a family fun center. So far he has won 38 prize tickets. How many more tickets would he need to win to place him in the gold prize category?

Number of Tickets	Prize Category
$1 - 20$	bronze
$21 - 40$	silver
$41 - 60$	gold
$61 - 80$	platinum

F $2 \leq t \leq 22$

G $3 \leq t \leq 22$

H $1 \leq t \leq 20$

J $3 \leq t \leq 20$

Use a table of values to graph each equation.

$y = x + 3$

Find the final value $$ 2500$ invested at an interest rate $2 %$ compounded monthly 10 year.

Use a table of values to graph the given equation. State the domain and range.

$y = - x^{2} - 3 x - 3$

MULTIPLE REPRESENTATIONS in this problem, you will investigate solving quadratic equations using tables.

a. ALGEBRAIC Determine the related function for each equation. Copy and complete the table below.

b. GRAPHICAL Graph each related function with a graphing calculator.

c. ANALYTICAL use the table feature on your calculator to determine the zeros of each related function. Record the zeros in the table above. Also, record the values of the function one unit less than and one unit more than each zero.

d. VERBAL Compare the signs of the function values for x values just before and just after a zero. What happens to the sign of the function value before and after a zero?

See all solutions

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