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3 years ago

Please answer this question

Mathematics

2 answers:

PolarNik [594]3 years ago

6 0

Answer:

$9$

Step-by-step explanation:

$(-1)^4-(-1)^3+(-1)^2+6$

$1-(-1)+1+6$

$1+1+1+6$

$3+6=9$

kotegsom [21]3 years ago

6 0

Answer:

Option 2

Step-by-step explanation:

p(t) = $t^4-t^3+t^2+6$

Putting t = -1

p(-1) = (-1)⁴-(-1)³+(-1)²+6

p(-1) = 1-(-1)+1+6

p(-1) = 1+1+7

p(-1) = 9

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Malachy, Sushil and Fiona share some sweets in the ratio 7:1:1. Malachy gets 90 more sweets than Fiona. How many sweets does Sus

VashaNatasha [74]

Answer:

Step-by-step explanation:

Fiona (F) = Sushi (S)

Malachy (M) = 7 Fiona (F)

M = F + 90

F + 90 = 7F

6F = 90

F (Fiona) = 15

S (Sushi) = 15

check: Malachy (M) = 15 * 7 = 105

M-F = 105 - 15 = 90

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3 years ago

Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.

melomori [17]

Answer:

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

Find a quadratic polynomial with integer coefficients which has the following real zeros: $x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}$ .

Let be $r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}$ and $r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}$ roots of the quadratic function. By Algebra we know that:

$y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}$ (1)

Then, the quadratic polynomial is:

$y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}$

$y = 81\cdot x^{2}-36\cdot x -19$

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

5 0

3 years ago

Kings Department Store has 625 rubies, 800 diamonds, and 700 emeralds from which they will make bracelets and necklaces that the

Assoli18 [71]

Step-by-step explanation:

Let Xb be the no of braclets made

Let Xn be the no of necklaces made

Max Z=250Xb + 500Xn (Objective Function)

Subject to

2Xb + 5Xn <= 625 (rubies)

3Xb + 7 Xn <= 800 ( diamonds)

4Xb + 3 Xn <= 700 (Emeralds)

Xb>=0 (non-negativity)

Xn >= 0 (non negativity

8 0

3 years ago

Read 2 more answers

A school sing games played 160 games and won 65 percent of them how many games did the team win?

jonny [76]

The team won 104 games
160 * 0.65 = 104

8 0

3 years ago

Find the diameter of the circle with the given circumference. Use 3.14 for pi. C=29 cm The diameter is about ____ cm. (Round to

dezoksy [38]

Answer:

= 9.2 cm

Step-by-step explanation:

D = C ÷ π

= 29cm ÷ 3.14

= 9.2356

= 9.2 cm

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3 years ago