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4 years ago

Identify the unit rate in the graph.

Mathematics

1 answer:

Rufina [12.5K]4 years ago

5 0

Answer:

No graph attached

Step-by-step explanation:

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Solve for xxx. 2x^2 - 12x + 18 = 02x 2 −12x+18=02, x, squared, minus, 12, x, plus, 18, equals, 0 x = {}x=x, equals

Andru [333]

Answer:

x = 3 and x = 3

Step-by-step explanation:

The given equation is

2x² - 12x + 18 = 0

Divide both sides by 2:

x² - 6x + 9 = 0

We need two numbers that will add up to -6 and their product is 9.

The two numbers are -3 and -3.

=> x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3)(x - 3) = 0

x = 3 and x = 3

6 0

3 years ago

Annika is saving for a new car. She deposits 35% of her paycheck every week into her savings account. Her last paycheck was $106

Y_Kistochka [10]

Answer:

a) $37.387

b) $1,588.95

Step-by-step explanation:

Hi, to answer this question, first, we have to multiply the last paycheck

(106.82) by the percentage saved in decimal form (divided by 100)

a) 106.82 x (35/100) = $37.387 (weekly saving)

Now, we have to multiply that result by the number of weeks.

b) 37.387 x 42.5 =$1,588.95

Feel free to ask for more if needed or if you did not understand something.

5 0

4 years ago

Find the area. simplify your answer.

VLD [36.1K]

Answer:144

Step-by-step explanation:

X+6+ X+6+ X+6+ X+6

4x+24

Get the x alone so you divide the 4 on both sides.

24/4=6

X=6

Area

(X+6)(X+6)

X=6 Plug to the Equation So it looks like this

(6+6=12)(6+6=12)

12x12=144

Answer 144

In exponent form It would look like this

6 0

4 years ago

What is the correct answer

skad [1K]

50% is the correct answer for the question

8 0

2 years ago

17) Solve the system as matrix equations using inverses. 17) A company produces three models of MP3 players, models A, B, and C.

Vinvika [58]

Answer:

Model A=30, Model B: 20, Model C: 45

Step-by-step explanation:

Let x be the amount of type A mp3 produced, and the amount of model B mp3's produced and z the amount of model C mp3 produced.

Since in total there are 303 hours for electronics work, then:

$3.2x+5.4y+2.2z=303$

Since in total there are 393 hours for assembly, then:

$2.8x+2.4y+5.8z=393$

Since in total there are 416 hours for quality assurance, then:

$4.4x+3.4y+4.8z=416$

Then, the linear system associated to the problem is

$3.2x+5.4y+2.2z=303\\2.8x+2.4y+5.8z=393\\4.4x+3.4y+4.8z=416$

with coefficient matrix $A=\left[\begin{array}{ccc}3.2&5.4&2.2\\2.8&2.4&5.8\\4.4&3.4&4.8\end{array}\right]$ and vector of constant terms $b=\left[\begin{array}{ccc}303\\393\\416\end{array}\right]$

Since the determinant of A is equal to 36.704 then A is invertible.

Then for solve the system $Ax=b$ , is enough find the inverse of A and operate

$Ax=b\\A^{-1}Ax=A^{-1}b\\x=A^{-1}b$

Using Octave we obtain that

$A^{-1}=\left[\begin{array}{ccc}-0.22&-0.50 &0.71\\0.33&0.15&-0.34\\-0.028& 0.35&-0.20\end{array}\right]$

Then

$x=A^{-1}b=\left[\begin{array}{ccc}30\\20\\45\end{array}\right]$

This means that 30 mp3's of model A, 20 of model B and 45 of model C must be produced

8 0

4 years ago