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3 years ago

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What is the correct ratio of each rational root of the polynomial function: f(x) = 5x5 − x3 + 3x + 6? a)factor of 6/5 b) factor

of 6/1 c) factor of 4/factor of 6 d) factor of 6/factor of 5

1 answer:

goldenfox [79]3 years ago

6 0

The correct poynomial function should be f(x) = 5x^2 − x^3 + 3x + 6. The factors are x1 = 5.7095, x2 = -0.35475 + i * 0.96179 x3 = -0.35475 - i * 0.96179. The roots are composed of two imaginary roots and one real root. There is no correct ratio that can be made as there are alrady imaginary roots

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If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS. Concl

DIA [1.3K]

Answer:

All given information leads to conclusion described on statement. ( $QR = RS$ )

Step-by-step explanation:

The strategy of problem consist in make a mathematical demonstration from given information. There are two assumptions: i) $R$ is a point of segment $QS$ and ii) $R$ is the midpoint of $QS$ . We proceed to perform the demonstration:

1) $R\in QS$ , $R$ is the midpoint of $QS$ . Given.

2) $Q - R = R -S$ Definition of midpoint.

3) $QR = RS$ Definition of segment/Result.

All given information leads to conclusion described on statement. ( $QR = RS$ )

8 0

3 years ago

Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final t

dmitriy555 [2]

Answer:

1. Find the difference between the areas.

<u>Area of the small rectangle</u>: $(x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14$

<u>Area of the big rectangle</u>: $(x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99$

The difference is: $11x+85$

$( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85$

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

$f(d)=h=-2d^2+7d+4$

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

$f(0)=h=-2(0)^2+7(0)+4$

$h=4$

The height is 4 meters.

b) 9 meters.

For $d=1$

$f(1)=h=-2(1)^2+7(1)+4$

$f(1)=h=-2+7+4$

$h=9$

b) The ball travels 4 meters.

But to calculate it, it is when $h=0$

$0=-2d^2+7d+4$

Using the quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$

$d=\frac{-7\pm\sqrt{81}}{-4}$

$d=\frac{-7\pm9}{-4}$

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

$V=\pi r^2h$

$V=\pi (2.5)^2 \cdot 5$

$V=31.25 \pi$

$V_{c} \approx 98.17 \text{ m}^3$

The volume of the sphere:

$V=\frac{4}{3} \pi r^2$

$V_{s} \approx 65.4 \text{ m}^3$

The volume of the capsule is approximately $163.57 \text{ m}^3$

3 0

3 years ago

Slope intercept form that passes though the point (-2,-3) and has a slope of 5/2

olganol [36]

$\text{Given that,}\\\\(x_1,y_1) = (-2,-3), ~~\text{and slope,}~~m = \dfrac 52\\\\\\\text{Now,}\\\\y -y_1 =m(x-x_1)\\\\\implies y +3 = \dfrac52 (x+2)\\\\\implies y = \dfrac 52(x+2) -3\\\\\\\implies y = \dfrac{5}2 x + 5 -3 \\\\\\\implies y = \dfrac 52 x + 2\\\\\\\text{This is the slope-intercept form(y =mx+b)}.$

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3 years ago

Read 2 more answers

Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg

Eva8 [605]

Given:

The given expression is:

$(-4x+9)^2$

According to Kylie,

$(-4x+9)^2=(-4x)^2+(9)^2$

$(-4x+9)^2=16x^2+81$

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

$(-4x+9)^2$

According to the perfect square trinomial $(a+b)^2=a^2+2ab+b^2$ .

$(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2$

$(-4x+9)^2=16x^2-72x+81$

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

4 0

3 years ago

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To calculate the total amount of satin you need you add 4.5 and 3.25 and find that you need 7.75 yards of satin. Is this correct

Nostrana [21]

4.5 and 3.25 gets you to 7.75, you are correct

7 0

3 years ago