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Varvara68 [4.7K]
3 years ago
11

Suppose your friend is having trouble solving the inequality -2(3x-8)<5(4-x). Show each step you would take to solve the ineq

uality, and write an explanation of why you are taking that step.
Mathematics
1 answer:
Molodets [167]3 years ago
7 0
Your answer will be x > <span>−<span>4</span></span>
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Find the solution to
KengaRu [80]
1) y= -5/2
2) y= -1/4x+3
6 0
2 years ago
Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.
krok68 [10]

Answer:

y^2=\frac{1}{8}x

Step-by-step explanation:

The focus lies on the x axis and the directrix is a vertical line through x = 2.  The parabola, by nature, wraps around the focus, or "forms" its shape about the focus.  That means that this is a "sideways" parabola, a "y^2" type instead of an "x^2" type.  The standard form for this type is

(x-h)=4p(y-k)^2

where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (that distance is the same; we only need to find one).  That means that the vertex has to be equidistant from the focus and the directrix.  If the focus is at x = -2 y = 0 and the directrix is at x = 2, midway between them is the origin (0, 0).  So h = 0 and k = 0.  p is the number of units from the vertex to the focus (or directrix).  That means that p=2.  We fill in our equation now with the info we have:

(x-0)=4(2)(y-0)^2

Simplify that a bit:

x=8y^2

Solving for y^2:

y^2=\frac{1}{8}x

3 0
2 years ago
What is the value of y for the point with an x-value of 5?
crimeas [40]
-2y4 that is the answe
8 0
3 years ago
David bought a baseball card for $40. the value of the card increased by 25%. what is the new value of the card?
kenny6666 [7]

Answer:

65 i think

Step-by-step explanation:

5 0
3 years ago
2+ 4/5 + 1 1/2 please help<br><br> ​
vlabodo [156]

Answer:

Step-by-step explanation:

11/2=55/10

2=20/10

4/5=8/10

55+20+8/10=83/10

6 0
2 years ago
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