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finlep [7]
3 years ago
8

I don't understand how to solve this, please help!

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer:

x+1 , x<-1

x²-bx-4  , -1≤x≤4

1/2 x +a

substitute x=-1 , continuous everywhere

x+1=x²-bx-4 when x=-1

-1+1=-1²-b-4

<h2>1+b-4=0 ⇒ +b-3 ⇒ b=3</h2>

then for :

x²-bx-4=1/2 x +a for x=4

4²-4b-4=1/2x+a

16-4(3)-4=4/2+a

16-12-4-2=a

<h2>a=-2</h2>

the equations will be :

x+1

x²-3x-4

1/2x-2

I hope this help

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Three of the choices are ways to express 0.50. Which is NOT?
Ganezh [65]

Option B

5 hundredths is not the way to express 0.50

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

Given that Three of the choices are ways to express 0.50

To find: wrong option

Let us first write 0.50 in different ways

<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

\rightarrow 0.50 = \frac{0.50 \times 100}{100} = \frac{50}{100}

\frac{50}{100} means 50 hundredths

<h3>Therefore option D is correct</h3>

On simplifying \frac{50}{100} we can write,

\rightarrow \frac{50}{100} = \frac{5}{10} = \frac{1}{2}

\frac{1}{2} means one half

<h3>Therefore option A (one half) is correct</h3>

Similarly, \frac{5}{10} means 5 tenths

<h3>Therefore Option C is also correct</h3>

Thus the wrong option is B

<em><u>Justification:</u></em>

5 hundredths can be written as:

\frac{5}{100} = 0.05

Therefore option B is wrong

5 0
3 years ago
Which of the following numbers sets does not include \large -\sqrt{25} ?
kolbaska11 [484]

Answer:

Step-by-step explanation:

The answer is B

The whole numbers are the + integer set. Since -sqrt(25) = - 5, this number is not included in the whole number set.

8 0
2 years ago
I NEED ANSWERS FAST Laura bought 8 3/10 yd of ribbon. She used 1 ⅖ yd to tie a package and 2 ⅓ yd to make a bow. Joe later gave
sergejj [24]

Answer:

9 1/6 yd

Step-by-step explanation:

First, list the lengths of ribbon Laura had or acquired:

8 3/10 yd + 4 3/5 yd.  This is equivalent to 8 3/10 yd + 4 6/10 yd, or

12 9/10 yd.

Next, list the lengths of ribbon Laura used:

1 2/5 yd + 2 1/3 yd.  The LCD here is 15, so we have 1 6/15 yd + 2 5/15 yd.

Summing up, we get 3 11/15 yd.

Subtract this length from the original 12 9/10 yard with which Laura began:

12 9/10 yd     or    12 27/30 yd (LCD is 30)

- 3 11/15 yd      or   -3 22/30 yd

Subtracting the latter two quantities, we get 9 5/30 yd, or 9 1/6 yd

7 0
3 years ago
Twice a number is twenty-eight
Alla [95]
Let, the number = n
It would be: 2n = 28
n = 28/2
n = 14

In short, Your Answer would be 14

Hope this helps!
4 0
3 years ago
Choose the equivalent system of linear equations that will produce the same solution as the one given below.
Amanda [17]
<h2>Greetings!</h2>

Answer:

Option 4

Step-by-step explanation:

Firstly, we need to make the two x's or the two y numbers the same. Lets multiply the second equation by 2:

(2x + 3y = 5 ) * 2 =

4x + 6y = 10

Now, subtract the second equation from the first one:

(4x - y = -11) - (4x + 6y = 10)

4x - 4x = 0

-y - 6y = -7y

-11 - 10 = -21

-7y = -21

Divide both sides by -7:

y = 3

Plug 3 into the first equation as y:

4x - 3 = -11

4x = -11 + 3

4x = -8

x = -2

So x = -2 and y = 3. We need to find one of the options that equals this.


<h3>Option  1)</h3>

-4x - 9y = -21

-10y = -30

40x - 90y = -210

-90y = -270

40x - 0 = 40x

-90y - - 90y = -90 + 90 = 0y

-210 - -270 = -210 + 270 = 60

40x = 60

x = 1.5

We already know this isn't equivalent because the x value is not the x value of the given equation.


<h3>Option 2) </h3>

4x + 3y = 5

2y = -6

_______

8x + 6y = 10

6y = -18

8x - 0 = 8x

6y - 6y = 0

10 - -18 = 10 + 18 = 28

8x = 28

x = 3.5

So we know this isn't equivalent because again, the x value isn't the same as the given equation.


<h3>Option 3</h3>

7x - 3y = -11

9x = -6

-----------

63x - 27y = -99

63x = -42

----------------

63x - 63x = 0

-27y - 0 = -27y

-99 - - 42 = -99 + 42 = -57

-27y = -57

-9y = -19

9y = 19

y = 19/9

So we know this one isn't equivalent as the y value isn't the same as the given equation.


<h3>Option 4</h3>

12x - 3y = -33

14x = -28

x = -28/14 = -2

12(-2) - 3y = -33

-24 - 3y = -33

-3y = -33 + 24

-3y = -9

y = 9/3

y = 3

So x = -2 and y = -3 which is the same as the first equation.


<h2>Hope this helps!</h2>
3 0
3 years ago
Read 2 more answers
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