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djverab [1.8K]
2 years ago
8

It shows the equations but it is a little confusing I don't want to get the problem wrong please help me out. Ill give you brain

liest

Mathematics
1 answer:
Viktor [21]2 years ago
6 0

Answer:εδΑΒΓΒΕ

U4\leq \sqrt{x} \sqrt[n]{x} 64

Step-by-step explanation:

73hsay  is a little bit too long and ∩679∨78ω8㏒∴≠÷±

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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=-20x=-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
Help please, from anyone.
Fed [463]

Answer:

your answer should be 15%

5 0
3 years ago
Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam
AVprozaik [17]

Answer:

The equation would be 4x-15=21.

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = x-5

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = 2(x-5)=2x-10

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

x+x-5+2x-10=21\\\\4x-15=21

Hence The equation would be 4x-15=21.

On Solving we get;

Adding both side by 15 we get;

4x-15+15=21+15\\\\4x=36

Dividing both side by 4 we get;

\frac{3x}{4}=\frac{36}{4}\\\\x=9

Hence Nicholas has = 9 video games

Robert has = x-5= 9-5=4 video games

Charlie has = 2x-10 = 2\times9-10=18-10=8 video games

5 0
3 years ago
Read 2 more answers
What is the slope of a line that passes through the points (-3, 2) and (-6, 5)
oksano4ka [1.4K]

Answer:

3/2

Step-by-step explanation:

Y2-Y1

_____

X2-X1

= 5-2

____

-6-(-3)

=3/2

3 0
3 years ago
Read 2 more answers
In calculating the present value of $1,000 to be received 5 years from today, the discount factor has been calculated to be .700
Trava [24]
To calculate the present value we shall proceed as follows:
from the present value table, the percentage corresponding to discount factor of 0.7008 in 5 years is 7%
therefore using the formula:
FV=PV(1+r/100)^n
where:
FV=$1000
PV=?
r=7%

hence:
1000=PV(1+7/100)^5
PV=1000/(1+7/100)^5
PV=712.986

6 0
3 years ago
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