4y\/2x evaluate the expression when x=4 and y= -6<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n We are given the algebraic expression: 4y2x\\frac{4y}{2x}<\/p>\n\n\n\n and asked to evaluate<\/strong> it when x=4x = 4 and y=\u22126y = -6.<\/p>\n\n\n\n 4(\u22126)2(4)\\frac{4(-6)}{2(4)}<\/p>\n\n\n\n 4\u00d7(\u22126)=\u2212244 \\times (-6) = -24<\/p>\n\n\n\n 2\u00d74=82 \\times 4 = 8<\/p>\n\n\n\n \u2212248=\u22123\\frac{-24}{8} = -3<\/p>\n\n\n\n \u22123\\boxed{-3}<\/p>\n\n\n\n This problem involves evaluating an algebraic expression by replacing variables with specific values. The expression is: 4y2x\\frac{4y}{2x}<\/p>\n\n\n\n This fraction has variables in both the numerator and the denominator. To evaluate it, we first substitute<\/strong> the values of the variables. In this case, we’re told:<\/p>\n\n\n\n So we plug these values into the expression: 4(\u22126)2(4)\\frac{4(-6)}{2(4)}<\/p>\n\n\n\n Now we perform the multiplication in both the numerator and denominator. In the numerator, 4\u00d7(\u22126)=\u2212244 \\times (-6) = -24. In the denominator, 2\u00d74=82 \\times 4 = 8.<\/p>\n\n\n\n Now we divide: \u2212248=\u22123\\frac{-24}{8} = -3<\/p>\n\n\n\n This tells us that when x=4x = 4 and y=\u22126y = -6, the entire expression simplifies to \u22123-3.<\/p>\n\n\n\n This type of evaluation is very common in algebra. It’s important to follow the order of operations<\/strong> (PEMDAS\/BODMAS) and handle signs (positive\/negative) carefully. Also, be cautious to substitute correctly \u2014 one small mistake in multiplication or sign handling can lead to a wrong answer.<\/p>\n\n\n\n Understanding how to substitute and simplify algebraic expressions is a key algebra skill that prepares you for solving equations, graphing, and real-world applications like physics or economics problems.<\/p>\n","protected":false},"excerpt":{"rendered":" 4y\/2x evaluate the expression when x=4 and y= -6 The correct answer and explanation is: We are given the algebraic expression: 4y2x\\frac{4y}{2x} and asked to evaluate it when x=4x = 4 and y=\u22126y = -6. Step-by-step solution: 4(\u22126)2(4)\\frac{4(-6)}{2(4)} 4\u00d7(\u22126)=\u2212244 \\times (-6) = -24 2\u00d74=82 \\times 4 = 8 \u2212248=\u22123\\frac{-24}{8} = -3 \u2705 Final Answer: \u22123\\boxed{-3} […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-27843","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27843","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=27843"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27843\/revisions"}],"predecessor-version":[{"id":27846,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27843\/revisions\/27846"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27843"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27843"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27843"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nStep-by-step solution:<\/strong><\/h3>\n\n\n\n
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\n\n\n\n\u2705 Final Answer:<\/strong><\/h3>\n\n\n\n
\n\n\n\n\ud83d\udca1 Explanation (300 words):<\/strong><\/h3>\n\n\n\n
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