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liq [111]
3 years ago
14

Which of the following represents the factorization of the polynomial below x^2+9x+20

Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Answer:

(x+5)(x+4)

Step-by-step explanation:

x^2+9x+20

Factor

What 2 numbers multiply to 20 and add to 9

5*4 = 20

5+4 =9

(x+5)(x+4)

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A candy company used 8 pints of chocolate to
ad-work [718]

Answer:

They would need 24 pints of chocolate to make 6 boxes of candy

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2 years ago
Solve for P must convert 3 months inyo years has picture
Studentka2010 [4]
A year has 12 months so 1 month = 1/12 year. t = 3 months = 3/12 year = 1/4 year
3 0
3 years ago
In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .
IgorLugansk [536]
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

8 0
3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1600 vo
Arturiano [62]

Answer:

Test statistic = -2.44

There is enough evidence to support the strategist's claim.

Step-by-step explanation:

H0 : p = 0.41

H1 : p < 0.41

pˆ = 0.38

Test statistic :

z=pˆ−p/√p(1−p)/n

Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600

Z = - 0.03 / √0.0001511875

Z = - 0.03 / 0.0122958

Z = - 2.4399

Test statistic = -2.44

The Pvalue :

P(Z < -2.44) = 0.0073436

α - level = 0.02

If Pvalue < α ; Reject H0

0.0073436 < 0.02 ; We reject H0

Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.

8 0
3 years ago
After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns rig
vaieri [72.5K]

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}

Christina had to travel 125 m from the three-way junction to the church.

5 0
3 years ago
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