I'm Confused Could Anyone Help me

ruslelena [56]

$\begin{cases}4(x+y)=2x+12\\4x+y=x+8\end{cases}\\\\\\
\begin{cases}4x+4y=2x+12\quad|-2x\\4x+y=x+8\quad|-x\end{cases}\\\\\\
\begin{cases}4x+4y-2x=12\\4x+y-x=8\end{cases}\\\\\\
\boxed{\begin{cases}2x+4y=12\\3x+y=8\end{cases}}$

3 0

3 years ago

Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

Factor the expression. 24x+3

Olin [163]

Answer:

Step-by-step explanation:

24x = 3 * 8 * x

3 = 3 * 1

Greatest common factor = 3

24x +3 = 3*8x + 3*1

=3(8x + 1)

6 0

3 years ago

Read 2 more answers

6. If you spun the spinner below, what are the odds that you will spin an

denis23 [38]

If you mean that is a 4 digit number then here is your answer.

Answer:

1:1

Step-by-step explanation:

So there is 1000 to 9999. That includes 9999-999= 9000 numbers. Since each number it is either a odd number or an even number, we can say that it is 1:1 There would be 4500 odd and 4500 even numbers. Every even number is followed by an odd number. for example: 1000-1001 1002-1003 1004-1005

so on so you would get to the point that you get to 9998-9999

Hope it helped you!

8 0

3 years ago

Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.

AfilCa [17]

The volume of a cuboid toy chest is equal to their product of the length,

width, and height.

The correct option for the toy chest she should purchase is; Only toy chest A will provide the necessary storage space.

Reasons:

The dimensions of the toy chest are;

Toy chest A;

Length = 5 feet

Width = 4 feet

Height = 2 feet

Toy chest B;

Length = 4 feet

Width = 2 feet

Height = 4 feet

Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³

Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³

The volume of the toy chest Mrs. Smith needs = 35 ft.³

The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³

The correct option is; Only toy chest A will provide the necessary storage space

Possible question options obtained from a similar question found online are;

Either toy chest have the storage space needed

Neither has the storage space needed

Only toy chest A

Only toy chest B

Learn more about calculating volumes of various shapes here:

brainly.com/question/3789826

8 0

3 years ago