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bixtya [17]
2 years ago
8

Solve the system of equations by substitution. Show all work neatly on your work page. Checking your answer is wise. :) Plz need

Mathematics
1 answer:
Flauer [41]2 years ago
7 0

Answer:

x=5

Step-by-step explanation:

3x+2(-3x+11)=7

Use distributive property:

3x-6x+22=7

Combine like terms:

-3x+22=7

-3x=-15

Then divide:

-3x/3=-15/3 = 5

x=5

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If I weighed 12 stones and lost 5lb , how much would I weigh?​
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3 years ago
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Isabella's rain gauge showed 3 centimeters/cra) last Tuesday. This Tuesday,
Llana [10]
<h3><u>Question:</u></h3>

Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday,  the rain gauge showed 5 7/10  centimeters. How many more centimeters of rain  fell during the week?

A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm​

<h3><u>Answer:</u></h3>

Option D

1\frac{9}{10}  more centimeters of rain  fell during this week than last week

<h3><u>Solution:</u></h3>

From given,

Last\ tuesday = 3\frac{4}{5}\ cm\\\\Convert\ to\ improper\ fraction\\\\Last\ tuesday = \frac{5 \times 3 + 4}{5} = \frac{19}{5}\ cm

Also given that,

This\ tuesday = 5\frac{7}{10}\ cm = \frac{10 \times 5 + 7}{10} = \frac{57}{10}\ cm

<em><u>How many more centimeters of rain  fell during the week?</u></em>

This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19}{5}\\\\This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19 \times 2}{5 \times 2}\\\\This\ tuesday - last\ tuesday = \frac{57-38}{10}\\\\This\ tuesday - last\ tuesday = \frac{19}{10}\\\\Converting\ to\ mixed\ fraction\\\\\rightarrow \frac{19}{10} = 1\frac{9}{10}

Thus 1\frac{9}{10}  more centimeters of rain  fell during this week than last week

8 0
2 years ago
Which of the following is equivalent to xy3z2 + y2z + xyz when it is completely factored?
juin [17]
<span>xy</span>³<span>z</span>²<span> + y</span>²<span>z + xyz =
yz(xy</span>²z + y + x<span>)

Answer: C.</span>
3 0
2 years ago
Does anyone know the answer to these two problems?
Nady [450]

Answer:

8) -8, -9

9) 4, $ \frac{1}{2} $

Step-by-step explanation:

8) x² + 12x + 27

Solutions of a polynomial means the values of $ x $ such that the polynomial becomes zero. $ i.e., y = 0 $.

We use the following formula to determine the solutions of a quadratic equation of the form: $ ax^2 + bx + c = 0 $

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In this equation, $ a = 1; b = 12; c = 27 $

Substituting in the formula, we have:

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Taking 2 common outside we get:

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Therefore, we get two solutions viz, x = -3, -9.

9) 2x² - 9x + 4 = y

X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.

Solving the equation using the formula above, we get:

$ x = \frac{-(-9) \pm \sqrt{81 - 32}}{2(2)} $

$ \implies x = \frac{9 \pm 7}{4} $

The values of x = 4, $ \frac{1}{2} $.

Hence, the answer.

8 0
3 years ago
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