1) Which of the following shows the correct next step when solving the equation below?
<img src=”https://edu.americanhighschool.org/assets/plugins/tinymce/plugins/tiny_mce_wiris/integration/showimage.aspx?formula=bf607ef08aea0283bed299ddbdc7fe35&cw=152&ch=34&cb=32&text=left+parenthesis+5+x+space+plus+space+7+right+parenthesis+to+the+power+of+1+third+end+exponent+space+plus+space+3+space+equals+space+5″ data-mathml=”
(5x + 7)13 + 3 = 5
” class=”Wirisformula” alt=”left parenthesis 5 x space plus space 7 right parenthesis to the power of 1 third end exponent space plus space 3 space equals space 5″ style=””>
<img src=”https://edu.americanhighschool.org/assets/plugins/tinymce/plugins/tiny_mce_wiris/integration/showimage.aspx?formula=44997aee9d1ac41485ca65b2f9120409&cw=117&ch=34&cb=32&text=left+parenthesis+5+x+space+plus+space+7+right+parenthesis+to+the+power+of+1+third+end+exponent+space+equals+space+2″ data-mathml=”
(5x + 7)13 = 2
” class=”Wirisformula” alt=”left parenthesis 5 x space plus space 7 right parenthesis to the power of 1 third end exponent space equals space 2″ style=””>
A. <img src=”https://edu.americanhighschool.org/assets/plugins/tinymce/plugins/tiny_mce_wiris/integration/showimage.aspx?formula=e1a64838a561683a147de5fcd20d0c6a&cw=155&ch=40&cb=35&text=3+root+of+left+parenthesis+5+x+space+plus+space+7+right+parenthesis+to+the+power+of+1+third+end+exponent+space+end+root+space+equals+space+3+root+of+2″ data-mathml=”
(5x + 7)13 3 = 23
” class=”Wirisformula” alt=”3 root of left parenthesis 5 x space plus space 7 right parenthesis to the power of 1 third end exponent space end root space equals space 3 root of 2″ style=””>
B. <img src=”https://edu.americanhighschool.org/assets/plugins/tinymce/plugins/tiny_mce_wiris/integration/showimage.aspx?formula=a344586ce25c732515cc3a81f6d41438&cw=159&ch=34&cb=32&text=left+parenthesis+left+parenthesis+5+x+space+plus+space+7+right+parenthesis+to+the+power+of+1+third+end+exponent+right+parenthesis+to+the+power+of+1+third+end+exponent+space+equals+space+2+to+the+power+of+1+third+end+exponent” data-mathml=”
((5x + 7)13)13 = 213
” class=”Wirisformula” alt=”left parenthesis left parenthesis 5 x space plus space 7 right parenthesis to the power of 1 third end exponent right parenthesis to the power of 1 third end exponent space equals space 2 to the power of 1 third end exponent” style=””>
C. <img src=”https://edu.americanhighschool.org/assets/plugins/tinymce/plugins/tiny_mce_wiris/integration/showimage.aspx?formula=10b505b413e819b0bd2687d2d5c9d751&cw=149&ch=40&cb=35&text=square+root+of+left+parenthesis+5+x+space+plus+space+7+right+parenthesis+to+the+power+of+1+third+end+exponent+end+root+space+equals+space+square+root+of+2″ data-mathml=”
(5x + 7)13 = 2
” class=”Wirisformula” alt=”square root of left parenthesis 5 x space plus space 7 right parenthesis to the power of 1 third end exponent end root space equals space square root of 2″ style=””>
D. <img src=”https://edu.americanhighschool.org/assets/plugins/tinymce/plugins/tiny_mce_wiris/integration/showimage.aspx?formula=dfb7c52e9935c97d589d719cffeb31e4&cw=143&ch=34&cb=32&text=left+parenthesis+left+parenthesis+5+x+space+plus+space+7+right+parenthesis+to+the+power+of+1+third+end+exponent+right+parenthesis+cubed+space+equals+space+2+cubed” data-mathml=”
((5x + 7)13)3 = 23
” class=”Wirisformula” alt=”left parenthesis left parenthesis 5 x space plus space 7 right parenthesis to the power of 1 third end exponent right parenthesis cubed space equals space 2 cubed” style=””>
2) When an object is dropped from the top of a 50-foot tall building, the object will be
h feet above the ground after
t seconds, where
<img src=”https://edu.americanhighschool.org/assets/plugins/tinymce/plugins/tiny_mce_wiris/integration/showimage.aspx?formula=78d56fa2747d6d04fca6cce1ec70b232&cw=126&ch=35&cb=23&text=1+half+square+root+of+50+space+minus+space+h+end+root+space+equals+space+t” data-mathml=”
1250 – h = t
” class=”Wirisformula” alt=”1 half square root of 50 space minus space h end root space equals space t”>. How far above the ground will the object be after 1 second?
34 feet
46 feet
48 feet
3.5 feet
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