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Alecsey [184]
3 years ago
15

Twice the sum of 15 and x as an algebraic expression

Mathematics
2 answers:
earnstyle [38]3 years ago
8 0

Answer:

skjzjzjajzjs hajsjsjajjsjsa annsnsnsnnsnsns snsnnsjsjnee ejjejen

Aloiza [94]3 years ago
7 0

Answer:

2 (15x)

Step-by-step explanation:

I didn't completely get your answer but if you want it in numerical from its here. 2 x (15x.)

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Find a polynomial P(x) with the zeros x=2, −(2), √3, −√3
Zigmanuir [339]

Answer:

P(x) = x^{4} - 7x² + 12

Step-by-step explanation:

Given zeros x = 2, x = - 2, x = \sqrt{3}, x = - \sqrt{3}

Then the factors are (x - 2), (x + 2), (x - \sqrt{3} ), (x + \sqrt{3} )

and the polynomial is the product of the factors, that is

P(x) = (x - 2)(x + 2)(x - \sqrt{3} )(x + \sqrt{3} ) ← expand in pairs using FOIL

      = (x² - 4)(x² - 3) ← distribute

     = x^{4} - 3x² - 4x² + 12 ← collect like terms

    = x^{4} - 7x² + 12

6 0
2 years ago
A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa
Gnesinka [82]

Answer:

The value of x would be \frac{5}{3}

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3

Differentiating with respect to x,

V'=100 - 80x + 12x^2

Again differentiating with respect to x,

V''=-80 + 24x

For maxima or minima,

V'=0

\implies 100 - 80x + 12x^2 = 0

\implies 3x^2 - 20x + 25=0

By quadratic formula,

x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}

x=\frac{20\pm \sqrt{400 - 300}}{6}

x=\frac{20\pm \sqrt{100}}{6}

x=\frac{20\pm 10}{6}

\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0
3 years ago
The measure of <rate can be represented by the expression (6x+12).​
zhenek [66]
I wish I could help you but Im doing this so i can ask sum
6 0
3 years ago
Read 2 more answers
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the leng
ExtremeBDS [4]

Answer:

<h2>The right option is twelve-fifths</h2>

Step-by-step explanation:

Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

The right option is therefore twelve-fifths

7 0
3 years ago
Read 2 more answers
If working together, brothers Tom and Jack can paint a wall in 4 hours, how much time would it take Jack to paint the wall alone
kiruha [24]
T+J=4 hours
x+2x=4 hours
3x=240 minutes
X=80 minutes
3 0
3 years ago
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