4. Use Structure Explain why the product of two binomials in the form (a+b)(a-b) is a binomial instead of a trinomial.
1) It takes Kali eight minutes to sweep a porch.Shawna can sweep the same porch in 11 minutes.If they worked together how long would it take them?
7. Given overline (DF) with D(-1,11) and F(-9,-5) . if E partitions DF such that the ratio of DE to DF is 5:8 find the coordinates of E.
Make the following calculations using your calculator. 1.3times 10^3+2.5times 10^2 2.6times 10^4-1.7times 10^3 (1.5times 10^2)(2.3times 10^-5) (4.4times 10^5)/(2.0times 10^-2)
Change the following numbers in scientific notation to decimal notation. 5.93times 10^-5 3times 10^4 1.5times 10^3
8) Working alone, Eduardo can harvest a field in 14 hours. One day his friend Amy helped him and it only took 7.47 hours. How long would it take Amy to do it alone?
Simplify the radical below. -2sqrt [4](6)-2sqrt [4](5)+3sqrt [4](6) square
9. Represent and Connect Annalise withdraws 22.50 each day from her account for a week. How can you represent the change in the account for the week?
6) Nicole can pick forty bushels of apples in 15 hours.Carlos can pick the same amount in 11 hours.How long would it take them if they worked together?
8. (-(1)/(2)+1(1)/(8))cdot (2(2)/(3)-3(1)/(3))cdot 7.5
Find the perimeter of the triangle with these vertices. $(4,3),(-3,3),(-3,-3)$ Give an exact answer (not a decimal approximation). Simplify your answer as much as possible.
) Select all the factor pairs of 28. 4 and 6 2 and 14 3 and 7 1 and 28 4 and 7 3 and 9
8) $\frac {2\sqrt [5]{5p^{2}}}{\sqrt [5]{16p}}$
Solve. $6x^{\wedge }4-7x^{\wedge }2+2=0$
8. Which of these below correctly solves for yof the equation $3x-2=4y+5$ $y=-3x-5$ $y=-\frac {3}{4}x+\frac {7}{4}$ $y=\frac {3}{4}x-\frac {7}{4}$ $y=3x+5$
2. What value of x makes this equation true? $6-x=5x+30$
4)) Find the number that makes the ratio equivalent to $2:11$ $\square :88$
5) Solve the equation below for III. $-8=\frac {m+7}{-4}$
Solve the equation a $0=x^{3}-4x^{2}-21x$ b $2x^{4}-6x^{3}=12x^{2}-36x$
\( 3 x + 2 \longdiv { 9 x ^ { 3 } + 2 7 x ^ { 2 } + 1 7 x + 2 } \)