# Which of the following equations could be used to solve the given equation? 9x + 26 + 7x - 17 = 2x + (-3x) + 5x 16x + 9 = 0 16x + 9 = 4x 16x + 11 = 4x

2 months ago

## Solution 1

Guest #6849
2 months ago

Answer:  The correct option is (B)

Step-by-step explanation:  We are given to select the correct equation that could be used to solve the following equation :

To find the correct equation, we need to simplify the given equation (i).

From equation (i), we get

Thus, the required equation is

Option (B) is CORRECT.

## Solution 2

Guest #6850
2 months ago
If we simplify like terms on left and right sides we gwt

16x + 9 =  4x

Its B

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P = 2(L + W)
Since we are given L >= 50 ft and P = 140 ft:
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It takes approximately 6.3 seconds to hit the ground.

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Which point is an x-intercept of the quadratic function f(x) = (x – 8)(x + 9)? (0,8) (0,–8) (9,0) (–9,0)
Solution 1
The correct answer is:  [D]:  " (- 9, 0) " .
___________________________________________________________

Explanation:
___________________________________________________________

Given the quadratic function in  "factored form" ;

→  with "y" substituted for:  "f(x)" — as follows:
___________________________________________________________

→   "  y = (x − 8)(x + 9) "  ;

Find the "x-intercept" of the equation ;

→   {among the answer choices given}
___________________________________________________________

Note:  The "x-intercept(s)" of an equation refer(s) to the coordinates of the point(s) on the graph of the equation at which the graphed equation crosses the "x-axis".

In other words, the "x-intercept(s)" of an equation refer(s) to the solution of the equation at which: " x = 0 " .
___________________________________________________________
At this point, let us consider our given answer choices:
___________________________________________________________
Note:
____________________________________________________________
Consider the first 2 (two) given answer choices:
____________________________________________________________

Choice:  [A]:  " (0, 8) " ;

Choice:  [B]:  " (0, -8) " .
____________________________________________________________
→  Both of these are INCORRECT ;

→  {since these 2 (two) answer choices have "non-zero" values as
"y-coordinates" .}.

Note that by definition, all "x-intercepts" MUST have "y-coordinates" with a value of "0" {zero}.

→  Both of these are INCORRECT ; since these 2 (two) answer choices have "non-zero" values as "y-coordinates".

→  Note that by definition, all "x-intercepts" MUST have "y-coordinates" with a value of "0" {zero}.

Note that:
___________________________________________________________
Choice:  [A]:
" (0, -8)" ; has "- 8" — not: "0] as a: "y-coordinate" ;

and that :

Choice:  [B]:
" (0, 8) " ; has " 8 "  [not: "0" ] — as a: "y-coordinate".
__________________________
__________________________________
This narrows our answer choices to the last 2 (two) remaining choices:
____________________________________________________________

Choice:  [C]:  " (9, 0) "  ;  AND:
____________________________________________________________

Choice:  [D]:  " (- 9, 0) " .
____________________________________________________________

Note that both of them could be "x-intercepts" ; since both of them have
values of "0" {zero} as "y-coordinates" .
____________________________________________________________
Let us examining EACH of the remaining 2 (two) answer choices.  It does not matter the order, but let us start with:  Choice:  [C]: (9, 0) " .

→  Consider the original equation:
____________________________________________________________

→  " y = (x − 8)(x + 9) "

→  Note the answer choice given for Choice:  [C]:  " (9, 0)" .

→  This means that when we plug in "9" for "x" , we should get "0" for "y" ;

→  Let us plug in these values for "x" to see if "0" (for "y") holds true:

→  0 =?  (9 − 8)(9 + 9) ?? ;

→  0 =? (1) ( 18) ?? ;

→  0 ≠  18 ;

→    As such:  Choice:  [C]:  " (9, 0)— is INCORRECT.
____________________________________________________________

At this time, we may assume that:  "Choice [D]:  " (-9, 0)" —  the only remaining answer choice is the correct answer.

→  However, we shall examine this "answer choice" appropriately; as follows:
____________________________________________________________

Consider the original equation:
____________________________________________________________

→
" y = (x − 8)(x + 9) "

→  Note the answer choice for:  [C]:  " ( - 9, 0)" .

→  This means that when we plug in "-9" for "x" , we should get "0" for "y" ;

→  Let us plug in these values for "x" ;  to see if "0" (for "y") ;  holds true:

→  0 =?  (9 − 8)(- 9 + 9) ?? ;

→  0 =? (1) ( 0) ?? ;

→  0 =?  0 ?? ;

→  0  = 0  ! Yes!
___________________________________________________________
As such:
__________________________________________________________
→  The correct answer is:  Choice:  [D]:  " (-9, 0)" .
___________________________________________________________
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Find the quotient. 6^8/6^6
Solution 1

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I hope this helps!
Solution 2
6^2
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Lee's summer job was to sell newspapers. He sold 24 in the morning. In the afternoon, he sold 2/7 of the remaining newspapers. The number of newspapers left was 1/2 of the number he started with at the beginning. How many newspapers did lee start with? Thank you! I can't have any equations in the answer!
Solution 1
Given:
x = beginning number of newspapers
24 = sold in the morning
(x - 24) * 2/7 = sold in the afternoon
x * 1/2 = remaining newspapers

5/7 of the remaining newspaper is equal to 1/2 of the original number.

(x - 24) * 5/7 = 1/2 * x
5x/7 - 120/7 = x/2
5x/7 * 2/2 - 120/7 * 2/2 = x/2 * 7/7
10x/14 - 240/14 = 7x/14
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3x/14 = 240/14
14 * 3x/14 = 14 * 240/14
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Cesar had $50. He spent$20 on books and $6 on snacks. Which expression represents how much money Cesar has now? Solution 1 24 bucks is what he has left Solution 2 Starting Amount:$50
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The volume of a rectangular box is 330 cubic inches. The length on one side of the top is 11 inches, and the height of the box is 3 inches. What is the area of the top of the box?
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Question
The area of triangle ABC is 24 square centimeters. If B = 30° and a = 6 cm, what is the measure of side c? 4 cm 8 cm 16 cm 32 cm
Solution 1

16 cm

Step-by-step explanation:

Given : The area of triangle ABC is 24 square centimeters.

To Find: If B = 30° and a = 6 cm, what is the measure of side c?

Solution:

Formula :

a = 6

Area = 24

B = 30°

Substitute the values in the formula

Hence the measure of side c is 16 cm

So, Option c is correct.

Solution 2

16 cm

Step-by-step explanation:

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