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kirza4 [7]
3 years ago
12

You don’t have to answer all just help. please

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

Step-by-step explanation:

a.) When you have the following equation a(x-h)^2+z To find the vertex you take the h value, change its sign (to positive in this case) and that will give you the x value. To find the y-value just take the z. This gives us (15,-100)

b.) The axis of symmetry is just the x value of the vertex which is 15

c.) I'm not too sure what this means but can tell you that it's concave up because there's no way x can be negative

d.)Because the a value is positive that means that the graph is concave up which means that it has a minimum. The minimum is just the y value of the vertex which is just -100

e.) I'm going to write this in interval notation. The domain is all the possible x values of the graph which is all real numbers or (-∞,∞). The range is all the possible y values. We know that the minimum is -100 which means all the possible y values are [-100,∞)

f.) This is obviously a parabola and because the graph is concave up and has a negative minimum there must be 2 x intercepts.

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Let f(x)=4x^2+13x-12 and g(x)=x+4. Perform the function operation <br> F•g(x)<br><br> Please help!!!
ruslelena [56]

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

To solve f(x)·g(x), you multiply them together.

(4x²+13x-12)(x+4)                           [distribute by FOIL]

4x³+16x²+13x²+52x-12x-48          [combine like terms]

4x³+29x²+40x-48

Now, we know that f(x)·g(x)=4x³+29x²+40x-48.

4 0
4 years ago
Read 2 more answers
Find the area of the region bounded by the y-axis, the line y=6, and the line y = 1/2.
Ghella [55]

Solution:

As region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis.

We consider a line , one dimensional  if it's thickness is negligible.

So, Line is  two dimensional if it's thickness is not negligible becomes a quadrilateral.

So, Area (region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis)= Area of line segment between [,y=6 and  y=1/2.]= 6-1/2=11/2 units if we consider thickness of line as negligible.

4 0
3 years ago
What is the equation for 5 units left and 3 units up from f(x)=x
erastovalidia [21]

The new equation after shifting will be:

g(x) = (x+5)+3\\g(x) = x + 8

Step-by-step explanation:

Function trnafomations upward and left are defined as:

Upward:

f(x) => f(x)+b where b is an integer

Left:

f(x) => f(x+b) where b is an integers

Given function is:

f(x) = x

Shifting the function 5 units left

g(x) = f(x+5) => x+5\\g(x) = x+5

Shifting the function upward 2 units

So,

g(x) = (x+5)+3\\g(x) = x + 8

The new equation after shifting will be:

g(x) = (x+5)+3\\g(x) = x + 8

Keywords: Functions, shifting

Learn more about functions at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

3 0
3 years ago
What are the two solutions of 2x^2=-x^2-5x-1
hammer [34]

Answer:

x = 5/-6 + (√13)/-6

x = 5/-6 -(√13)/-6

Step-by-step explanation:

2x^2 = -x^2 - 5x - 1. Subtract 2x^2 from both sides.

-3x^2 - 5x - 1. Do the quadratic formula.

That gives you:

-5/6 ± (√13)/-6.

3 0
3 years ago
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Which of the following statements describes the process for solving 4x ≥ -24?
dezoksy [38]
Divide both sides of the inequality by 4 but don’t flip the symbol.

You only flip the inequality symbol if you divide by a negative number.

If you’re solving for x (which you are), you want to get x by itself. The only way to do that is to divide by 4.
4 0
3 years ago
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