All categories

3 years ago

MUST HAVE WORK SHOWN!

Mathematics

1 answer:

Lelu [443]3 years ago

6 0

set bottom equation to look like first one.

2x+4y=4

this equation is the same equation as the first just multiplied by 2. the answer is c. infinite solutions. you can plug in and solve:

solve bottom equation equal to y, you get y=-1/2x+1

plug into top equation

x+2(-1/2x+1)=2

x-x+2=2

2=2

because that is a true statement it is c. infinite solutions

You might be interested in

A line passes through the point (–2, 7) and has a slope of –5. What is the value of a if the point (a, 2) is also on the line?

never [62]

(x1,y1) = (-2,7)
m = -5
(x,y) = (a,2)

Forming the equation,
(y-y1) = m(x-x1)
y - 7 = -5[x - (-2)]
y - 7 = -5x - 10
y + 5x = -3

Putting the values of (x,y) we get,
2 + 5a = -3
5a = -5
a = -1

8 0

3 years ago

Read 2 more answers

HELP!

aev [14]

As you can see, in the table of the first function, f(2) = 18, and in the table of the second function g(2) = 18. Then, for x = 2, f(x) = g(x). and x =2 is the solution of the equation.

Answer: x = 2.

6 0

3 years ago

Read 2 more answers

What is the difference of the two polynomials? (9x2 + 8x) - (2x2 + 3x)

lara [203]

Answer:

7x^2+5x

Step-by-step explanation:

Given

Polynomial 1: 9x^2+8x

Polynomial 2: 2x^2+3x

We have to find subtraction of both

So,

9x^2+8x - (2x^2+3x)

First of all the brackets will be eliminated by multilying the minus sign

9x^2+8x-2x^2-3x

The terms with same power of variable will be written together

9x^2-2x^2+8x-3x

=7x^2+5x ..

4 0

3 years ago

Read 2 more answers

Mathew basketball team won 68% of the games they played if they won 17 games how many did they play

STALIN [3.7K]

Answer:

Step-by-step explanation:

turn 68% into a decimal (or keep as a percentage, your choice) and divide

17 divided by 0.68 (68% as a decimal) = 25

6 0

3 years ago

A rectangular box has length 20cm, width 6cm and height 4cm. find how many cubes of size 2cm that will fit into the box.

Papessa [141]

Answer:

$\boxed{\pink{\sf The \ number \ of \ cubes \ that \ can \ be \ fitted \ is 60 .}}$

Step-by-step explanation:

Given dimensions of the box = 20cm × 6cm × 4cm .

Dimension of the cube = 2cm × 2cm × 2cm .

Therefore the number of cubes that can be fitted into the box will be equal to the Volume of box divided by the Volume of the cube. So ,

$\boxed{\red{\bf \implies No. \ of \ cubes \ = \dfrac{Volume \ of \ box}{Volume \ of \ cube }}}$

$\bf \implies n_{cubes} = \dfrac{20cm \times 6cm \times 4cm .}{2cm \times 2cm \times 2cm } \\\\\bf\implies n_{cubes} = 10 \ times 3cm \times 2cm \\\\\implies \boxed{\bf n_{cubes}= 60 }$

<h3>Hence the number of cubes that can be fitted in the box is 60 .</h3>

6 0

3 years ago