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3 years ago

Use the substitution method to solve the system of equations. Choose the

2 answers:

7 0

$\bf \begin{cases} x+2y=12\\ \cline{1-1} -x=-y-6\\ \boxed{x}=y+6 \end{cases}\qquad \qquad \stackrel{\textit{doing some substitution in the 1st equation}}{\boxed{y+6}+2y=12\implies 3y+6=12} \\\\\\ 3y=6\implies y=\cfrac{6}{3}\implies \blacktriangleright y=2 \blacktriangleleft \\\\\\ \stackrel{\textit{since we know that }}{x=y+6\implies }x=(2)+6\implies \blacktriangleright x=8 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (8,2)~\hfill$

Mama L [17]3 years ago

7 0

Answer:

D. (8,2)

Step-by-step explanation:

Apex

Hope this helps Have a nice day

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Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason

Alina [70]

Answer:

12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

8 0

3 years ago

Kayla used 4/14 of her allowance to buy yogurt and 8/14 of her allowance to go skating. What fraction of her allowance does she

Monica [59]

4/14+8/14=12/14, so she has 2/14 left

7 0

3 years ago

PLEASE HELP!! WILL MARK BRAINIEST !!

SOVA2 [1]

Answer:

(f+g)(2) = 10

Step-by-step explanation:

f(x)=2x^2+3x

g(x)=x-2

(f+g)(x) will be sum of f(x) and g(x)

(f+g)(x) = 2x^2+3x + x - 2 = 2x^2+4x - 2

we have to find (f+g)(2), for that we will put x = 2

(f+g)(x) = 2x^2+4x - 2

$(f+g)(2) = 2*2^2+2*2 - 2\\(f+g)(2) = 2*4+4 - 2\\(f+g)(2) = 8+4 - 2 = 10$

Thus, (f+g)(2) is 10.

3 0

3 years ago

In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point

Vlada [557]

Answer:

D. 50

Step-by-step explanation:

130+x=180

x=50

6 0

3 years ago

The large rectangle shown represents one whole . Which division expression does the purple shaded area in the model represent

Hatshy [7]

Answer: The answer is $(d)~\dfrac{1}{3}\div 4.$

Step-by-step explanation: Given in the question and the figure a large rectangle consisting of 12 squares of equal areas. We need to choose the right expression for the purple shaded area.

Considering the rectangle in the figure horizontally, there are 4 rows of 3 squares. So, in the last row, the fraction of purple shaded square is

$r_p=\dfrac{1}{3}.$

And if consider the figure vertically, then there are 3 columns of 4 squares.

Therefore, the final fraction represented by the purple shaded area is

$f_p=\dfrac{1}{3}\div4.$

Thus, the correct option is $(d)~\dfrac{1}{3}\div 4.$

7 0

3 years ago

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