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galben [10]
3 years ago
14

Solutions to x squared +10x +16 =0

Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer: x = - 8, x=- 2

Step-by-step explanation:

Factor to get (x+8)(x+2).

For solutions, make that equal to 0.

x+ 8 = 0

x+2 = 0

so x = - 8, x= - 2

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Is the system of equations consistent and independent, consistent and dependent, or inconsistent?
ollegr [7]

Answer: Consistent and independent.

Step-by-step explanation:

We have the system of equations:

y = 4x - 4

y = -4x + 4.

Now, first let's define the terms used in the question.

consistent and independent: we have only one solution.

consistent and dependent: we have infinite solutions.

inconsistent: we do not have solutions.

Now, let's look at the system:

y = 4x - 4

y = -4x + 4.

Let's take the quotient between both the equations:

(y/y) = (4x - 4)/(-4x + 4)

1 = (4x - 4)/(-4x + 4)

let's see if we can solve this for x.

1*(-4x + 4) = 4x - 4

-4*x + 4 = 4x - 4

-4x - 4x = -4 - 4

-8*x = -8

x = -8/-8 = 1.

and to find the value of y, we can input this value of x in one of the equations:

y = 4*1 - 4 = 0.

Then we have only one solution, (1, 0).

(and will be the same if you input x in the other equation, as the right side is minus the right side of the first equation)

Then the system is consistent and independent.

5 0
3 years ago
Write in expanded form. Use parentheses to indicate multiplication. (-3x) 4
tester [92]
Multiply the number together ....
(-3x)4 = -12x
4 0
3 years ago
Read 2 more answers
Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.
I am Lyosha [343]
Assume Charles charges $7*3=$21 if he babysits for 2,5 hours (that is 2 and a half hours).

That is we are not considering Charles babysitting exactly 1, 2, 3 or 4 hours, but also in between times.


then we can write the following piecewise function to describe the situation:


f is a function from (0, 4] to {$7, $14, $21, $28}

f(x)=\begin{cases} 
      \$7 & if \enspace \enspace x\leq 1 \\
      \$14 & if \enspace \enspace 1\ \textless \  x\leq 2 \\
      \$21 & if \enspace\enspace 2\ \textless \ x\leq 3 \\
      \$28 & if \enspace\enspace 3\ \textless \ x\leq 4 \
   \end{cases}
6 0
3 years ago
Which model shows 25%? ​
Stels [109]

Answer:

The  first one shows 25%

In the 1st modal, a whole is divided into 4 and 1 of the 4 is selected or highlighted

And as the whole rectangle is 100% and being divided into four its becomes 100/4% and when we solve we get 100/4=25

And thus its the first modal that shows 25%

In the second case its divide into 3 boxes so.. 100/3% and when we solve we get 33.3333333.......and this is not what we want

THEREFORE, THE CORRECT ANSWER IS 1ST MODAL

8 0
2 years ago
Which proportion can be used to convert 22 kilograms to grams
Verizon [17]

1kg=1000g

Thus, 22kg=22000g

3 0
3 years ago
Read 2 more answers
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