a student earns a 90 on a test for missing one question incorrectly and earns a 70 for answering three incorrectly.What is the slope?

Answers

Answer 1

Answer: i got -10

1. create two ordered pairs based on the data so (1, 90) and (3, 70)

2. plug into the slope formula so (70 - 90)/(3 - 1)

then it's -20/2, which is -10

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Find all solutions of the equation. Check your solutions in the original equation. 8 x^3 − 343=0

Answers

$8x^3-343=0\ \ \ \ \ |add\ 343\ to\ both\ sides\n\n8x^3=343\ \ \ \ \ \ |divide\ both\ sides\ by\ 8\n\nx^3=(343)/(8)\n\nx=\sqrt[3]{(343)/(8)}\n\nx=\frac{\sqrt[3]{343}}{\sqrt[3]8}\n\nx=(7)/(2)$

$solution:x=(7)/(2)\n\ncheck:\n\n8\cdot\left((7)/(2)\right)^3-343=0\n\n8\cdot(343)/(8)-343=0\n\n343-343=0\n\n0=0$

$8 x^3-343=0\n\n(2x)^3-7^3=0\ \ \ \ \ \ and\ \ \ \ \ \ a^3-b^3=(a-b)(a^2+ab+b^2)\n\n(2x-7)(4x^2+14x+49)=0\n\n2x-7=0\ \ \ or\ \ \ 4x^2+14x+49=0\n2x=7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \Delta=14^2-4\cdot4\cdot49=196-784=-588\n x= (7)/(2) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \Rightarrow\ no\ solution\n.\ \ \ \ \ \ \ \ Ans.\ x= (7)/(2) \n\ncheck:\nL=8x^3-343=\n=8\cdot( (7)/(2) )^3-343=8\cdot (7^3)/(2^3) -343=8\cdot (343)/(8) -343=343-343=0$

If 35% of a number is 150, find 15% if the number

Answers

Answer:

64 2/7

Step-by-step explanation:

0.35x = 150

x = 3000/7

0.15(3000/7) = 450/7 = 64 2/7

Jenny has $200.00 in her savings account. The account earns interest at the rate of 3% each year.How much money will Jenny have in her account after one year?