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alina1380 [7]
3 years ago
6

Mr Thompson please answer. This is hw that is for mathematics Algebra.

Mathematics
1 answer:
ddd [48]3 years ago
6 0

Answer:

question 6:

x^{2} + 9x + 14 and (x + 2) (x + 7)

question 7:

x^{2} - 7x + 10 and (x - 2)(x - 5)

question 8:

x^{2} - 9x + 20 and (x - 4)(x - 5)

question 9:

(x + 1) (x - 17)

x^{2} - 17x + 1x - 17

x^{2} - 16x - 17

question 10:

(x - 1) (x + 17)

x^{2} + 17x - 1x - 17

x^{2} + 16x - 17

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2. In factored form, a quadratic function can be written as y= (-2- x) (x-8). This parabola goes through the points (-2, 0) and
Trava [24]

The vertex of the given parabola is the point (3, 25).

<h3>How to get the vertex of the parabola?</h3>

If the parabola has roots x₁ and x₂, then the vertex of the parabola is at:

xₙ = (x₁ + x₂)/2

Here the parabola is:

y = (-2 - x)*(x - 8)

We can rewrite that to:

y = -(x + 2)*(x - 8)

Then the two roots are:

x = -2 and x = 8

Then the vertex is at:

xₙ = (8 - 2)/2 = 6/2 = 3

To get the y-value of the vertex, we evaluate the equation in x = 3:

y = -(3+ 2)*(3 - 8) = -5*(-5) = 25

The vertex is (3, 25).

If you want to learn more about parabolas:

brainly.com/question/4061870

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8 0
2 years ago
£132 in the ratio 3 : 8
Vedmedyk [2.9K]

Answer:

£36 : £96

Step-by-step explanation:

3 + 8 = 11

132 ÷ 11 = 12

⇒ 12 x 3 : 12 x 8

⇒ £36 : £96

5 0
3 years ago
Read 2 more answers
Rosie wrote this expression to describe the amount she paid for each yoga class. 30 / m Which situation could be described by th
Zielflug [23.3K]
30/m would best describe situation D.  Rosie has paid $30.  Dividing it by <em>m</em> would mean she wants to know how many she can get out of that $30, which would imply she doesn't know how many classes she's bought.
4 0
3 years ago
A, B and C are events such that P(A) = 1/3, P(B) = ¼, and P(C) = 1/5. Find P(AUBUC) under each of the following assumptions: a)
marta [7]

(a) If A,B,C are mutually exclusive, then

P(A\cap B)=P(A\cap C)=P(B\cap C)=P(A\cap B\cap C)=0

so we have

P(A\cup B\cup C)=P(A)+P(B)+P(C)=\dfrac{47}{60}

(b) If A,B,C are mutually independent, then

P(A\cap B)=P(A)P(B),

P(A\cap C)=P(A)P(C),

P(B\cap C)=P(B)P(C),

P(A\cap B\cap C)=P(A)P(B)P(C)

so that

P(A\cup B\cup C)=P(A)+P(B)+P(C)-(P(A\cap B)+P(A\cap B)+P(B\cap C))+P(A\cap B\cap C)

P(A\cup B\cup C)=\dfrac{47}{60}-\left(\dfrac1{12}+\dfrac1{15}+\dfrac1{20}\right)+\dfrac1{60}

P(A\cup B\cup C)=\dfrac35

5 0
4 years ago
NEED ANSWER ASAP!!!!<br> does anyone know how to solve this problem?<br><br> 2x+24+4x+36=180
goldfiish [28.3K]
The anwser is x=20 because you need x alone
4 0
3 years ago
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