Chapter 10
Algebra 1: Concepts and Skills · 632 exercises
Problem 85
Simplify the expression. $$ \frac{12 \sqrt{4}}{\sqrt{9}} $$
3 step solution
Problem 85
Tell whether the equation has two solutions, one solution, or no real solution. $$ 6 x^{2}-12 x-6=0 $$
4 step solution
Problem 85
List all the factors of the number. 84
4 step solution
Problem 86
Simplify the expression. $$ \text { 86. } \frac{-6 \sqrt{12}}{\sqrt{4}} $$
2 step solution
Problem 86
In Exercises 86–88, sketch the graph of the inequality. $$ y \geq 4 x^{2}-7 x $$
4 step solution
Problem 86
List all the factors of the number. 112
4 step solution
Problem 87
Use the quadratic formula to solve the equation. $$ 9 x^{2}-14 x-7=0 $$
4 step solution
Problem 88
Use the quadratic formula to solve the equation. $$ 9 d^{2}-58 d+24=0 $$
3 step solution
Problem 88
$$ y>-2 x^{2}+4 x+16 $$
3 step solution
Problem 89
Use the quadratic formula to solve the equation. $$ 7 y^{2}-9 y-17=0 $$
4 step solution
Problem 89
The distance from the sun to Earth is approximately \(1.5 \times 10^{8} \mathrm{km} .\) The distance from the sun to the planet Neptune is approximately \(4.5 \times 10^{9} \mathrm{km} .\) What is the ratio of Earth's distance from the sun to Neptune's distance from the sun?
4 step solution
Problem 90
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 8 $$
2 step solution
Problem 90
Divide. Write the answer in simplest form. $$ \frac{1}{6} \div \frac{2}{3} $$
3 step solution
Problem 91
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 20 $$
3 step solution
Problem 91
Divide. Write the answer in simplest form. $$ \frac{3}{4} \div \frac{9}{24} $$
4 step solution
Problem 92
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 45 $$
3 step solution
Problem 92
Divide. Write the answer in simplest form. $$ \frac{7}{8} \div \frac{5}{2} $$
3 step solution
Problem 93
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 57 $$
2 step solution
Problem 93
Divide. Write the answer in simplest form. $$ \frac{3}{4} \div \frac{2}{9} $$
3 step solution
Problem 94
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 96 $$
3 step solution
Problem 94
Divide. Write the answer in simplest form. $$ \frac{13}{15} \div \frac{7}{10} $$
3 step solution
Problem 95
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 80 $$
6 step solution
Problem 95
Divide. Write the answer in simplest form. $$ \frac{29}{32} \div \frac{23}{24} $$
3 step solution
Problem 96
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 101 $$
3 step solution
Problem 96
Divide. Write the answer in simplest form. $$ \frac{11}{16} \div \frac{11}{12} $$
4 step solution
Problem 97
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 120 $$
2 step solution
Problem 97
Divide. Write the answer in simplest form. $$ 1 \frac{1}{2} \div \frac{3}{4} $$
3 step solution
Problem 98
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 244 $$
2 step solution
Problem 98
Divide. Write the answer in simplest form. $$ 2 \frac{1}{3} \div \frac{7}{27} $$
3 step solution
Problem 99
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 345 $$
3 step solution
Problem 100
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 250 $$
5 step solution
Problem 101
Write the prime factorization of the number if it is not a prime number. If a number is prime, write prime. $$ 600 $$
4 step solution