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2 years ago

Find a polynomial of least possible degree having the graph shown f(x)=0

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

8 0

The polynomial of least possible degree having the graph as given is; f(x) = x³-8x²+x +42.

<h3>Polynomial of least possible degree</h3>

It follows from the graph that the roots of the polynomial are; -2, 3 and 7.

On this note, the factors of such polynomial are;

Hence; (x+2)(x-3)(x-7) = f(x)

f(x) = x³-8x²+x +42

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Ely’s team scored 62, 76, 53, and 70 points in their first four basketball games. How many points does the team need to score in

Yanka [14]

89 is the amount of points the team needs to score in the fifth game to average 70 points.

I hope this help

7 0

3 years ago

The area of a rectangular field is 5695 m².

denpristay [2]

Answer:

85 m

Step-by-step explanation:

5696/67=85

3 0

3 years ago

A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of

Gwar [14]

$\bold{\huge{\underline{ Solution}}}$

<h3>Given :-</h3>

A marker in the center of the fairway is 150 yards away from the centre of the green
While standing on the marker and facing the green, the golfer turns 100° towards his ball
Then he peces off 30 yards to his ball

We have to find the distance between the golf ball and the center of the green .

<h3>Let's Begin :-</h3>

Let assume that the distance between the golf ball and central of green is x

Here, 

Distance between marker and centre of green is 150 yards
That is, Height = 150 yards
For facing the green , The golfer turns 100° towards his ball
That is, Angle = 100°
The golfer peces off 30 yards to his ball
That is, Base = 30 yards

According to the law of cosine :-

$\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}$

Here, a = perpendicular height
b = base
c = hypotenuse
cos theta = Angle of cosine

So, For Hypotenuse law of cosine will be :-

$\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}$

Subsitute the required values,

$\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}$

$\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}$

$\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}$

$\sf{ x^{2} = 22500 + 900 + 156.6}$

$\sf{ x^{2} = 23556.6}$

$\bold{ x = 153.48\: yards }$

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

5 0

3 years ago

The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?

34kurt

Answer:

115.3333

Step-by-step explanation:

346/3

Hope this helps. :)

7 0

3 years ago

PLEASEE HELP I NEED IT its about due

kherson [118]

Answer:

∠GJK is 22°

Step-by-step explanation:

Because the shape is a rectangle we know that GH is parallel to JI

This means that because of the alternate angle rule we know that

5x+8 = 7x-16

Then we solve for x

5x+8-5x = 7x-16-5x

8+16=2x-16+16

$\frac{24}{2}$ = $\frac{2x}{2}$

x=16

So this means that ∠HJI is 68°

Because the shape is a rectangle we know that ∠GJI is a right angle

This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule

90-68 =22

∴∠GJK is 22°

4 0

3 years ago