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lukranit [14]
3 years ago
11

Plz help!!!!!!!!!!!!!!!

Mathematics
2 answers:
Fantom [35]3 years ago
5 0
X^2+10x+12=36,x
X= -12, X= 2
julsineya [31]3 years ago
4 0

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~

Generally what I like to do, to solve questions like this is to substitute the given answers into the equation to solve this faster...

Equation: x^2 + 10x + 12 = 36

A.) (-12)^2 + 10(-12) + 12 = 36

144 - 120 + 12 = 36

24 + 12 = 36

36 = 36

(2)^2 + 10(2) + 12 = 36

4 + 20 + 12 = 36

24 + 12 = 36

36 = 36


Since we found the answer with the first try, we already know the correct answer is A.

So...

The Correct answer is: A.) x=-12 or x=2

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Answer:

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<em>b)</em><em> </em><em>The </em><em>number </em><em>of </em><em>calories</em><em> </em><em>in </em><em>each </em><em>strawberry</em><em> </em><em>is </em>4 <em>and </em><em>the </em><em>number </em><em>of </em><em>calories </em><em>in </em><em>each </em><em>vanilla</em><em> </em><em>wafer</em><em> cookie</em><em> </em><em>is </em>19. The solution is s= 4 and w = 19.

Step-by-step explanation:

For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is <em>s</em> and the number of calories in a vanilla wafer cookie is <em>w </em>, the number of calories Bridget ate on Monday is <em>10s + 8w</em><em>.</em><em> </em>The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s<em> + w</em>.

For part B,

we will create two different simultaneous equations.

Equation 1: 10s + 8w = 192

Equation 2: 20s + w = 99

We need to find one of the terms first to solve the other term. For this case, I will solve for w first.

Multiply the first equation by 2.

Equation 3: 20s + 16w = 192*2 = 384.

Now, subtract equation 2 from this new equation.

Equation 4:

(20s + 16w) - (20s + w) = 384 - 99

20s + 16w - 20s - w = 285

15w = 285

This leaves only w left and we can solve w.

w = 285 / 15 = 19

Now, we can solve for s using equation 2.

20s + 19 = 99

20s = 99-19 = 80

Hence,

s = 80/20 = 4

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