All categories

2 years ago

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

Mathematics

2 answers:

GenaCL600 [577]2 years ago

5 0

Answer:

D. (2,5)

Step-by-step explanation:

For X:

2+2(5)=12

2+10=12

For Y:

5=2+3

xeze [42]2 years ago

5 0

Answer:

Step-by-step explanation:

Given the 2 equations

x + 2y = 12 → (1)

y = x + 3 → (2)

Substitute y = x + 3 into (1)

x + 2(x + 3) = 12 ← distribute and simplify left side

x + 2x + 6 = 12

3x + 6 = 12 ( subtract 6 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into (2) for corresponding value of y

y = 2 + 3 = 5

Solution is (2, 5 ) → D

You might be interested in

the lions won 16 games last year. this year the lions won 20 games. what is the percent increase in number of games the lions wo

jarptica [38.1K]

Last year won the lions 16 games last year and into this year the Lions won 20 games.

as the percentage increase is:

20/16

(20/4) / (16/4)

5/4
<span>
1.25 (125%)</span>

6 0

3 years ago

Determine the surface area of the cylinder below.

Dahasolnce [82]

Answer:

Step-by-step explanation:

We will need calculate the area of the top, the base and sides.

Area of the top=πr²

Area of the base=πr²

Area of the side: 2πrh

Surface area of a cylinder: area of the top + area of the base +area of the side

Surface area of a cylinder=πr²+πr²+2πrh=2πr²+2πrh=2πr(r+h)

Data:

r=1.5 m

h=1.5 m

Surface area of this cylinder=2π(1.5m)(1.5 m+1.5 m)=3π m*(3 m)=9π m².

6 0

2 years ago

The Gourmet Bakery sells cooks for $2 each and cupcakes for $4 each. A total of 110 desserts are sold, and the total profit made

Anettt [7]

Answer:

x = 63

y = 47

Step-by-step explanation:

Given that the number of cookies sold is x and that of cupcakes i y, we have:

x + y = 110

2x + 4y = 314

Please see the image for the detailed steps.

7 0

3 years ago

Which rational number is equivalent to 5.5?

Art [367]

Answer:

11/2

Step-by-step explanation:

Multiply by 2/2 to remove the decimal.

4 0

2 years ago

Read 2 more answers

Find the equation f(x) = a(x - h)2 + k for a parabola containing point (3, 6) and having (1, -2) as a vertex. What is the standa

nlexa [21]

f(x) = 2 $x^{2}$ -4x

Step-by-step explanation:

Step 1 :

Given, f(x) = a(x - h)2 + k

Point on the parabola is (3, 6)

Vertex (h,k) = (1,-2)

Step 2:

Substituting the vertex in the equation we have,

f(x) = a(x-1)2 -2

Substituting the point (3,6) in this we have,

6 = a(3-1)2 - 2 => 6 = 4a -2

=> 4a = 8 => a = 2

Step 3 :

Substituting the value for a and the vertex in the given equation we have

f(x) = 2(x-1)2 -2 = 2(x2 - 2x + 1) -2 = 2x2 - 4x

=> f(x) = 2 $x^{2}$ -4x which is the standard form

8 0

3 years ago