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Jet001 [13]
3 years ago
5

Directions: identify weather the problem has a minimum or a maximum type an “X” in the box next to your answer

Mathematics
1 answer:
alekssr [168]3 years ago
3 0

Answer:

A)   minimum

B)   maximum

C)   minimum

Step-by-step explanation:

A positive x² coefficent means the parabola opens up and the vertex is the minimum

A negative x² coefficent means the parabola opens up and the vertex is the maximum

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

A)   minimum

B)   maximum

C)   minimum

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State the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomial
tatuchka [14]

Answer:

The common factor is 5x.

The factored polynomial is: 5x(7x - 2)

Step-by-step explanation:

Factor of the numbers:

The common factor of the numbers 5, 30 and 10 is 5, as it is the greater common divisor of them, as found below:

5 - 30 - 10|5

1 - 6 - 2

Factor of the exponents:

Between x^2, x^2 and x, the common factor is the x with the lowest exponent. So x

Common factor

Number multiplied by exponents, so 5x.

Factoring the polynomial:

5x^2 + 30x^2 - 10x = 5x(\frac{5x^2}{5x} + \frac{30x^2}{5x} - \frac{10x}{5x}) = 5x(x + 6x - 2) = 5x(7x - 2)

The factored polynomial is: 5x(7x - 2)

6 0
3 years ago
The perimeter of a rectangular tray is 28 inches. The length of the tray is 2 inches longer the width of the tray. Determine the
sergeinik [125]

Step-by-step explanation:

perimeter=28

length=2x

width=x

28=2(x+2x)

28=2x+4x

28=6x

28/6=6x/6

4.67=x

width=4.67

length=2×4.67

=9.34

4 0
3 years ago
-3(x+0.6)=6(x+2.4)<br> Could you possibly show the work also?
kap26 [50]
Multiple-3(x+0.6) and 6(x+2.4) you will get -3x-1.8=6x+14.4 then you add -3x + 6x you will get -9x=14.4+1.8 you add 14.4+1.8 that will give you 16.2 then divide that by -9

3 0
3 years ago
Let sin(−θ)=−3/5 and tanθ&gt;0. What is the value of cos(−θ)?
Jobisdone [24]

Answer:

The value of  Cos (-Ф) \dfrac{\textrm 4}{\textrm 5} .

Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) = \frac{- 3}{5}

- sin Ф = \frac{- 3}{5}

So, sin Ф = \frac{ 3}{5}

Now, as sin Ф = \dfrac{\textrm perpendicular}{\textrm hypotenuse}

So ,  \dfrac{\textrm perpendicular}{\textrm hypotenuse} =  \frac{ 3}{5}

So, perpendicular = 3

And hypotenuse = 5

Now,<u> From Pythagoras Theorem</u>

Base ² = Hypotenuse² - Perpendicular²

Or, Base ² = 5² - 3²

Or, Base ² = 25 - 9

Or, Base ² = 16

∴  Base = \sqrt{16}

I.e Base = 4

Now, Cos Ф =  \dfrac{\textrm base}{\textrm hypotenuse}

So, Cos Ф =  \dfrac{\textrm 4}{\textrm 5}

Now , Since

Cos ( - Ф ) = Cos Ф

So,  Cos ( - Ф ) = Cos Ф =  \dfrac{\textrm 4}{\textrm 5}

Hence The value of  Cos (-Ф) \dfrac{\textrm 4}{\textrm 5} . Answer

6 0
3 years ago
5x^2-26x+5 factor the trinomial
ss7ja [257]
The factored form for this question is (5x-1)(x-5)
4 0
3 years ago
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