The polynomial y = x2 + 6x + 9 has a repeated factor. (It may help to graph the equation.) A.True B.False

Answers

Answer 1

Answer: For the answer to the question above asking if it is true or false that The polynomial y = x2 + 6x + 9 has a repeated factor.
The answer to this question is true and that would be 3
(x+3)(x+3)
I hope my answer helped you.

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Convert to vertex form.
y=2x^2+14x-4

Answers

$y=2x^2+14x-4\n\na=2;\ b=14;\ c=-4\n\nvertex\ form:y=a(x-h)^2+k\n\nwhere:h=(-b)/(2a)\ and\ k=(-(b^2-4ac))/(4a)\n\nh=-(-14)/(2\cdot2)=-(7)/(2)\n\nk=(-(14^2-4\cdot2\cdot(-4)))/(4\cdot2)=(-(196+32))/(8)=(-228)/(8)=-(57)/(2)\n\n\nAnswer:y=2(x+(7)/(2))^2-(57)/(2)$

$To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \ of \ a \ function \ into \ vertex \n \nform \ y = a(x - h)^2 + k \n \n Here \ the \ point \ (h, k) \ is \ called \ as \ vertex \n \n h=(-b)/(2a) , \ \ \ \ k= c - (b^2)/(4a)$

$y=2x^2+14x-4 \n \na=2 ,\ b=14 , \ c=-4 \n \n h=(-14)/(2*2)=-(14)/(4)=-3.5 \n \nk= -4 - (14^2)/(4\cdot 2)=-4-(196)/(8)=-4-24.5=-28.5 \n \n y=2(x+3.5)^2 -28.5$

The lengths of the sides of a triangle are 7. and 10. If the length of the longest side of a similar triangle is 25. what is the length of the shortest side of this triangle?

Answers

Answer: 17.5

Step-by-step explanation:

7:10 = x:25

times both sides by 25

25(7/10) =x

than solve for x

X = 25 × (7/10)

X = 17.5

ang earns $2,700 per month.He pays $600 a month on rent.What is the ratio of his rent to his monthly income?

Answers

The ratio of the rent ($600) to the income ($2700) is written as:
600 : 2700.

You need to reduce the ratio. Both 600 and 2700 are divisible by 3, and dividing them both by three, you get the following:

200 : 900.

This can be reduced further by dividing by 100.

2 : 9

So, Ang spends 2 dollars on rent for every 9 dollars he earns,

Help me, please, i"m desperate

Answers

$D:5x-2>0 \wedge x>0 \wedge x-1>0\nD:5x>2 \wedge x>0 \wedge x>1\nD: x>(2)/(5) \wedge x>1\nD:x>1\n\log_2(5x-2)-\log_2x-\log_2(x-1)=2\n\log_2(5x-2)/(x(x-1))=\log_24\n(5x-2)/(x(x-1))=4\n4x(x-1)=5x-2\n4x^2-4x=5x-2\n4x^2-9x+2=0\n4x^2-x-8x+2=0\nx(4x-1)-2(4x-1)=0\n(x-2)(4x-1)=0\nx=2 \vee x=(1)/(4)\n(1)/(4)\not \in D \Rightarrow \boxed{x=2}$

The work of a student to solve the equation 3(2x − 4) = 8 + 2x + 6 is shown below:Step 1: 3(2x − 4) = 8 + 2x + 6
Step 2: 5x − 7 = 14 + 2x
Step 3: 5x − 2x = 14 + 7
Step 4: 3x = 21
Step 5: x = 7

In which step did the student first make an error and what is the correct step?

Step 2; 6x − 12 = 14 + 2x
Step 2; 6x − 7 = 2(6 + x + 4)
Step 3; 5x − 2x = 14 − 7
Step 3; 5x + 2x = 14 + 7

Answers

The student made a mistake in step 2 because he added it instead of multiplying. So for step 2 the correct answer is 6x-12 =8+2x+6

Which function has a y-value of 12, if the x-value is 3?y = x - 6
y = 4x
y = x + 8
y = 3x

Answers

answet no.2
bec 4×3 =12

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