{"id":157499,"date":"2024-10-22T06:51:09","date_gmt":"2024-10-22T06:51:09","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=157499"},"modified":"2024-10-22T06:51:11","modified_gmt":"2024-10-22T06:51:11","slug":"what-is-the-value-of-4x-34x-when-x4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/22\/what-is-the-value-of-4x-34x-when-x4\/","title":{"rendered":"What is the value of 4x 3+4x when x=4"},"content":{"rendered":"\n<p>What is the value of 4x 3+4x when x=4<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the expression ( 4x^3 + 4x ) when ( x = 4 ), we can substitute the value of ( x ) into the equation.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Substitute ( x = 4 ) into the equation<\/strong>:<br>[<br>4x^3 + 4x = 4(4^3) + 4(4)<br>]<\/li>\n\n\n\n<li><strong>Calculate the values<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, calculate ( 4^3 ), which means ( 4 \\times 4 \\times 4 ):<br>[<br>4^3 = 64<br>]<\/li>\n\n\n\n<li>Now, substitute ( 64 ) back into the equation:<br>[<br>4(64) + 4(4)<br>]<\/li>\n\n\n\n<li>Multiply:<br>[<br>4 \\times 64 = 256<br>]<br>[<br>4 \\times 4 = 16<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Add the results<\/strong>:<br>[<br>256 + 16 = 272<br>]<\/li>\n<\/ol>\n\n\n\n<p>Thus, the value of the expression when ( x = 4 ) is ( 272 ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>The expression ( 4x^3 + 4x ) contains two terms. The first term, ( 4x^3 ), involves the cube of ( x ), and the second term, ( 4x ), involves multiplying ( x ) by 4. When substituting ( x = 4 ), the cube of 4 is ( 64 ), and multiplying this by 4 gives ( 256 ). In the second term, multiplying ( 4 \\times 4 ) gives ( 16 ). Adding these two results, we get ( 272 ).<\/p>\n\n\n\n<p>This type of expression shows how the value of the variable ( x ) affects the overall value. The term ( x^3 ) grows rapidly as ( x ) increases, compared to the linear term ( 4x ). The larger the value of ( x ), the more dominant the cubic term becomes in determining the total value of the expression.<\/p>\n\n\n\n<p>By performing the operations step by step\u2014substituting ( x ), calculating powers, multiplying, and finally adding\u2014you can simplify and solve complex algebraic expressions efficiently.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the value of 4x 3+4x when x=4 The Correct Answer and Explanation is: To solve the expression ( 4x^3 + 4x ) when ( x = 4 ), we can substitute the value of ( x ) into the equation. Thus, the value of the expression when ( x = 4 ) is [&hellip;]<\/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-157499","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157499","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=157499"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157499\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=157499"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=157499"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=157499"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}