Answers:
k = 13The smallest zero or root is x = -10
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Work Shown:
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+10 = 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.
Inverse variation equations take the following form:
y = a/x, where a is some constant
We know x=3, y=16 and x=6, y=8 satisfy the equation.
Let's find the value of a.
16=a/3
Multiply both sides by 3
16*3 = a
48 = a
Thus, the equation is:
y = 48/x
You can use the other values of x and y to test, but I'm sure this is the correct equation. :)
(This answer was sent on mobile, so please pardon any spelling errors I may have)
Answer:
y - 4 = 0
Step-by-step explanation:
They give you the y coordinate, 4, and the x coordinate as 0.
Put 4 in as y.
4 - 4 = 0. That means x = 0 and that is right.
To make sure it has a slope of zero, subtract 4 on both sides.
You get : y = 4. This means that the line will be straight and it will have a slope of zero.
1 subscription = $21
28 subscriptions = x
You know 1 subscription is $21
You want to find out how much 28 subscriptions are
Multiply 28 (subscriptions) by 21 ($ per subscription)
28 x 21 = 588
28 subscriptions cost $588
If you would like the formula to find out how many subscriptions cost hat amount of money,
21x = y
x is how many subscriptions you want, while y is the total cost of the money
Answer:
yes
Step-by-step explanation:
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