k = 13The smallest zero or root is x = -10
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Steps:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
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<em><u>Hope this helps.</u></em>
Answer:
The answer is .9.
Step-by-step explanation:
Steps Ex. 1 Ex. 2
Round a number to the nearest tenth 3.14 .883
Find the hundredths' place. 3.14 .883
Less than 5, round the tenth down. 3.1
If it is 5 or more, round the tenth up. .9
That is your explanation. The answer is .9
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Multiply sides by ( x - 2 )
Simplification
Subtract sides 7x
Simplification
Negatives simpliflies
Divide sides by 4
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Answer: 1:4
It doesn't matter what the original side lengths were. If both dimensions are divided by 2, (halved) the Area of the new square will be 1/4 the Area of the original square.
Step-by-step explanation:
But to prove it: 27×27 = 729 .
27/2 = 13.5 . 13.5 × 13.5 = 182.25
729/182.25 = 4 .or 182.25/729 = 0.25
Answer:
7
Step-by-step explanation:
The function can be written in vertex form as ...
f(x) = -(x +1)^2 +7
The vertex is then identifiable as (-1, 7). The y-coordinate is 7.
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Vertex form is ...
f(x) = a(x -h)^2 +k
where "a" is the vertical scale factor, and (h, k) is the vertex point. It is convenient to arrive at this form by factoring "a" from the first two terms, then adding and subtracting the square of the remaining x-coefficient inside and outside parentheses.
f(x) = -(x^2 +2x) +6
f(x) = -(x^2 +2x +1) + 6 -(-1) . . . . completing the square
f(x) = -(x +1)^2 +7 . . . . . . . . . . . . vertex form; a=-1, (h, k) = (-1, 7)