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3 years ago

The equation x 2 + 10 x + 25 = 0 has one solution.

Mathematics

1 answer:

Natalija [7]3 years ago

4 0

Answer:

Yes

Step-by-step explanation:

X2+10x+25=0

So let's solve

10=5,5

25=5,5

So let's continue

X2+5x+5x+25

Let's factorise

X(x+5)+5(x+5)=0

(X+5)(x+5)=0

X+5=0

Substrate 5 from both sides

X=-5(twice)

So the answer is yes

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What are the solutions to the system of equations,<br> y=x+21<br> 2x+y=57

kondaur [170]

Answer:

(12,33)

Step-by-step explanation:

This system can be solved using the substitution method. This is where you replace one variable by another.

Step 1:

Plug in $x+21$ for the y

Step 2:

Combine like terms

$2x+x+21=57\\3x+21=57$

Step 3:

Subtract 21 from both sides

$3x=36$

Step 4:

Divide both sides by 3

$x=12$

Step 5:

Use the first equation and plug in 12 for x

$y=12+21$

$y=33$

Step 6:

Proof of work

$2(12)+33=57\\24+33=57\\57=57$

3 0

3 years ago

There are 26 cards in a hat, each of them containing a different letter of the alphabet. If one card is chosen at random, what i

mylen [45]

Answer:

0.81

Step-by-step explanation:

The letters between L and P are M,N,O.

It is inclusive, so we have 5 letters L,M,N,O,P.

The letters which we can choose we have 26-5=21.

The probability to choose a letter not between L and P is 21/26=0.81

The solution is 0.81, ie,

You have 81% chance to choose latter not between L and P.

4 0

3 years ago

Please help me solve each question! Make sure to show work so I can earn full credit.

omeli [17]

(1)

$5x-5\geq10\,\,\mbox{or}\,\,-3x+1>13\\5x\geq15\,\,\mbox{or}\,\,-3x>12\\x\geq3\,\,\mbox{or}\,\,x$

(2)

$5x + 3\leq18 \,\,\mbox{and}\,\,4 - x < 6\\5x\leq15 \,\,\mbox{and}\,\,- x < 2\\x\leq3 \,\,\mbox{and}\,\,x > 2\\2$

8 0

3 years ago

Read 2 more answers

I need these answers quick, thank you.

drek231 [11]

The first one is C. 9 the second one is C.24.5

5 0

3 years ago

Read 2 more answers

I don’t understand this someone pls help

omeli [17]

To solve this, you need to plug in the numbers for <em>h</em>.

-4(-12) ≥ 8 48 ≥ 8 yes

-4(-7) ≥ 8 28 ≥ 8 yes

-4(-5) ≥ 8 20 ≥ 8 yes

-4(-3) ≥ 8 12 ≥ 8 yes

-4(-2) ≥ 8 8 ≥ 8 yes

-4(-1) ≥ 8 4 ≥ 8 no

-4(1) ≥ 8 -4 ≥ 8 no

-4(3) ≥ 8 -12 ≥ 8 no

-4(8) ≥ 8 -32 ≥ 8 no

Hope this helped!

7 0

3 years ago