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3 years ago

Which answer choice do I choose?

Mathematics

1 answer:

Ratling [72]3 years ago

3 0

The second answer is correct because in order for the ordered pairs to represent a function, there can only be 1 y value for every x value. The second option has 2 different y values for x = 3 so it is not a function.
The answer is the second option.

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If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the

lana [24]

3x+5=7x-8
4x=13
x=13/4
the answer is 13/4

8 0

3 years ago

Can i have help please

11Alexandr11 [23.1K]

Answer:

60 ft, 7.5 ft 67.5 ft

Step-by-step explanation:

1. 5*12=60 ft

2 5*3=15 15/2=7.5 ft

3 60+7.5=67.5 ft

8 0

3 years ago

Consider the following quadratic function Part 3 of 6: Find the x-intercepts. Express it in ordered pairs.Part 4 of 6: Find the

maksim [4K]

Answer:

The line of symmetry is x = -3

Explanation:

Given a quadratic function, we know that the graph is a parabola. The general form of a parabola is:

$y=ax^2+bx+c$

The line of symmetry coincides with the x-axis of the vertex. To find the x-coordinate of the vertex, we can use the formula:

$x_v=-\frac{b}{2a}$

In this problem, we have:

$y=-x^2-6x-13$

Then:

a = -1

b = -6

We write now:

$x_v=-\frac{-6}{2(-1)}=-\frac{-6}{-2}=-\frac{6}{2}=-3$

Part 3:

For this part, we need to find the x-intercepts. This is, when y = 0:

$-x^2-6x-13=0$

To solve this, we can use the quadratic formula:

$x_{1,2}=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot(-1)\cdot(-13)}}{2(-1)}$

And solve:

$x_{1,2}=\frac{6\pm\sqrt{36-52}}{-2}$ $x_{1,2}=\frac{-6\pm\sqrt{-16}}{2}$

Since there is no solution to the square root of a negative number, the function does not have any x-intercept. The correct option is ZERO x-intercepts.

Part 4:

To find the y intercept, we need to find the value of y when x = 0:

$y=-0^2-6\cdot0-13=-13$

The y-intercept is at (0, -13)

Part 5:

Now we need to find two points in the parabola. Let-s evaluate the function when x = 1 and x = -1:

$x=1\Rightarrow y=-1^2-6\cdot1-13=-1-6-13=-20$ $x=-1\Rightarrow y=-(-1)^2-6\cdot(-1)-13=-1+6-13=-8$

The two points are:

(1, -20)

(-1, -8)

Part 6:

Now, we can use 3 points to find the graph of the parabola.

We can locate (1, -20) and (-1, -8)

The third could be the vertex. We need to find the y-coordinate of the vertex. We know that the x-coordinate of the vertex is x = -3

Then, y-coordinate of the vertex is:

$y=-(-3)^2-6(-3)-13=-9+18-13=-4$

The third point we can use is (-3, -4)

Now we can locate them in the cartesian plane:

And that's enough to get the full graph:

8 0

1 year ago

How do I do #1 ? Help!!

juin [17]

1) First find the multiplier.

Look at the 0 and 1st term you have 5 as the 0 and 3 as the 1st term.

2)Ask how do we get from 5 to 3?

We subtract 2 so the multiplier is -2

3)Lets make a linear equation: y=mx +b

m= multiplier or slope
x= Just equals x value
b= your starting value or the 0 term which is 5

4)Use the values that you have to create your equation.

y=-2x +5

Note:For the x value just plug in the x value from your table.

Ex.

y=-2(-10)+5

y=20+5
y=25

5 0

3 years ago

Marisol constructed a triangle. One angle in the triangle has a measure of 40°. Another angle in the triangle has a measure of 8

Tanzania [10]

Answer:

A triangles angle always equal to 180 degrees. So if you add up what you already have which is 80+40=120

5 0

3 years ago