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Genrish500 [490]
2 years ago
9

Pls help im new so pls can u help me Factorise x^2+18x+80

Mathematics
1 answer:
sergejj [24]2 years ago
5 0

Answer:

(x + 10)(x + 8)

Step-by-step explanation:

Given

x² + 18x + 80

Consider the factors of the constant term (+ 80) which sum to give the coefficient of the x- term (+ 18)

The factors are + 10 and + 8 , since

10 × 8 = + 80 and 10 + 8 = + 18 , then

x² + 18x + 80 = (x + 10)(x + 8) ← in factored form

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How far, D, does a vehicle travel if it is moving at a rate, r, of 60 km/h and it travels for t =150 minutes? Use the formula D=
strojnjashka [21]

The distance of a vehicle travel is 150 km, at a moving rate of 60 km/h for 150 minutes.

Step-by-step explanation:

            The given is,

                   Moving rate, r = 60 km/h

                   Time, t = 150 minutes

Step:1

            We need to find the distance traveled by the vehicle,

            From given the formula is

                        D = rt

            Where,

                D = Distance in Km

                 r = Moving rate in Km/h

                 t = Time in hours

Step:2

         We need to convert the time minutes to hours

                   t = \frac{150}{60} hours

                   t = 2.5 hours

Step:3

        Distance traveled by the vehicle is,

                D = 60 × 2.5

                    = 150

                D = 150 Km

Result:

      The distance traveled by the vehicle is 150 Km at a moving rate of 60 km/h for 150 minutes.

5 0
3 years ago
Which characteristic is correct for the function f(x)=−2x^3+3x ?
MA_775_DIABLO [31]

Answer:

Left ends is +ve infinity and Right end is -ve infinity. however both tends to be infinity.

Step-by-step explanation:

Let us under stand the basics of determining the end behavior of a graph , by just analyzing the degrees and coefficient of a polynomial.Please refer to the image we have shared with this for a better understanding also.

The rule is bifurcated in two broad category and and two sub category in them.

Category .

The nature of degree (Even / Odd )

Subcategory .

The coefficient of term containing degree ( Negative/Positive )

Rule 1 :

Degree : Even

If coefficient is

Rule 1(a) : Positive ⇒Both ends are towards +ve infinity

Rule 1(b) : Negative⇒Both ends are towards -ve infinity

Rule 2 :

Degree : Odd

If coefficient is

Rule 2(a) : Positive ⇒ Left ends is -ve infinity and Right end is +ve infinity

Rule 2(b) : Negative ⇒ Left ends is +ve infinity and Right end is -ve infinity

Let us see our function f(x) = -2x^3 + 3x now

Here

Degree is 3 which is Odd

Its coefficient is (-2) which is negative

Hence we go to rule 2(b)

That is the Left ends is +ve infinity and Right end is -ve infinity. however both tends to be infinity.

7 0
3 years ago
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