{"id":144599,"date":"2024-09-24T22:30:13","date_gmt":"2024-09-24T22:30:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=144599"},"modified":"2024-09-24T22:30:15","modified_gmt":"2024-09-24T22:30:15","slug":"what-expression-is-equivalent-to-2-8k-8-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/24\/what-expression-is-equivalent-to-2-8k-8-4\/","title":{"rendered":"What expression is equivalent to 2.8k-8.4"},"content":{"rendered":"\n

What expression is equivalent to 2.8k-8.4<\/p>\n\n\n\n

The Correct answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The expression 2.8k\u22128.42.8k – 8.42.8k\u22128.4 can be simplified by factoring out the common coefficient, leading to the equivalent expression:2.8(k\u22123)\\boxed{2.8(k – 3)}2.8(k\u22123)\u200b<\/p>\n\n\n\n

Explanation<\/h3>\n\n\n\n

To understand how to derive the equivalent expression from 2.8k\u22128.42.8k – 8.42.8k\u22128.4, let\u2019s break it down step by step.<\/p>\n\n\n\n

    \n
  1. Identify Common Factors<\/strong>: The first step in simplifying algebraic expressions is to identify any common factors. In this case, both terms in the expression share a common coefficient, which is 2.82.82.8. This coefficient can be factored out from both terms.<\/li>\n\n\n\n
  2. Factoring Out the Coefficient<\/strong>: We can rewrite the expression by factoring out 2.82.82.8:\n
      \n
    • The first term 2.8k2.8k2.8k can be rewritten as 2.8\u00d7k2.8 \\times k2.8\u00d7k.<\/li>\n\n\n\n
    • The second term \u22128.4-8.4\u22128.4 can be rewritten in terms of 2.82.82.8: since \u22128.4-8.4\u22128.4 is equal to 2.82.82.8 multiplied by \u22123-3\u22123 (because 2.8\u00d7\u22123=\u22128.42.8 \\times -3 = -8.42.8\u00d7\u22123=\u22128.4), we can express \u22128.4-8.4\u22128.4 as 2.8\u00d7\u221232.8 \\times -32.8\u00d7\u22123.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Rewriting the Expression<\/strong>: By factoring 2.82.82.8 out of both terms, we get:2.8k\u22128.4=2.8(k)+2.8(\u22123)2.8k – 8.4 = 2.8(k) + 2.8(-3)2.8k\u22128.4=2.8(k)+2.8(\u22123)This simplifies to:2.8(k\u22123)2.8(k – 3)2.8(k\u22123)<\/li>\n\n\n\n
    • Understanding the Implications<\/strong>: Factoring an expression like 2.8(k\u22123)2.8(k – 3)2.8(k\u22123) can be beneficial in various mathematical contexts. For instance, it makes it easier to analyze the expression, find roots, or understand its behavior as a function. The factored form reveals that the expression is zero when k=3k = 3k=3, which can be particularly useful in solving equations or graphing.<\/li>\n\n\n\n
    • Conclusion<\/strong>: Therefore, while 2.8k\u22128.42.8k – 8.42.8k\u22128.4 and 2.8(k\u22123)2.8(k – 3)2.8(k\u22123) are equivalent expressions, the factored form is often more convenient for further mathematical operations, providing clarity and insight into the relationship between the variables involved.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

      What expression is equivalent to 2.8k-8.4 The Correct answer and Explanation is: The expression 2.8k\u22128.42.8k – 8.42.8k\u22128.4 can be simplified by factoring out the common coefficient, leading to the equivalent expression:2.8(k\u22123)\\boxed{2.8(k – 3)}2.8(k\u22123)\u200b Explanation To understand how to derive the equivalent expression from 2.8k\u22128.42.8k – 8.42.8k\u22128.4, let\u2019s break it down step by step.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-144599","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144599","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=144599"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144599\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=144599"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=144599"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=144599"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}