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xeze [42]
3 years ago
8

someone please help me.. i can’t figure out what to do. but i need this explained step by step so i know what to do next time.

Mathematics
1 answer:
Genrish500 [490]3 years ago
6 0

Answer:

Step-by-step explanation:

½(x-2) = 8 + 5x

Multiply both sides by 2

2⋅½(x-2) = 2(8 + 5x)

1(x-2) = 2(8 + 5x)

Apply the distributive rule

x - 2 = 16 + 10x

Subtract x from both sides

-2 = 16 + 9x

Subtract 16 from both sides

-18 = 9x

Divide both sides by the coefficient of x

-18 ÷ 9 = 9x ÷ 9

-2 = x

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Joel made some muffins. He gave 1/4 of of the muffins to a neighbor. He took 3/8 of the muffins to school. What fraction of the
dolphi86 [110]
Okay!   So 1/4 = 2/8  and 3/8 = 3/8      3/8+2/8= 5/8
3/8 is your answer


6 0
3 years ago
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
What is 34/40 in simplest form
vampirchik [111]

Answer: 17/20

<u>Divide</u>

34/40 ÷ 2/2 = 17/20

Divide each side by 2 so it'll be 2/2.

6 0
3 years ago
Read 2 more answers
Can Someone Please Explain This To Me
Ghella [55]

Answer:

maybe but (-4,2) only because the -4 is in the x place (x,y)

Step-by-step explanation:

Ordered pair usually refers to a set of two numbers used to locate a point in a coordinate plane. When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point.

3 0
2 years ago
Which property of inequality should you use to solve 3x ≤ 27?
lord [1]

division property would help you solve this inequality

6 0
2 years ago
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