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sammy [17]
2 years ago
7

Consider the graph that represents the following quadratic equation y=-1/3(x+2)^2+5

Mathematics
1 answer:
makkiz [27]2 years ago
7 0
We have that
<span>y=-1/3(x+2)</span>²<span>+5

using a graph tool
see the attached figure

we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0)  and (1.873,0)
5) the y intercept value is (0,3.667)
</span><span>
</span>

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What is the standard form of the points (-3,4) (2,-6)
Bas_tet [7]

The standard form equation of the line connecting the two points is 2x +  y = -2

Linear equation in a standard form is given as Ax + By = C

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

where,

(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)

Substitute

slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2

Step 2: Find the y-intercept (b) of the line by substituting (x, y) = (-3,4) and m = -2 into y = mx + b (slope-intercept form)

4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2

Step 3: Write the equation of the line in slope-intercept form by substituting m = -2 and b = -2 into y = mx + b

y = -2x + (-2)\\y = -2x - 2

Step 4: Rewrite the equation in standard form (Ax + By = C)

y = -2x - 2\\

Add 2x to both sides

2x + y = -2x - 2 + 2x\\2x +  y = -2

The standard form equation of the points (-3,4) and (2,-6) is 2x +  y = -2

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

6 0
3 years ago
What is the answer and how do you find it?
Grace [21]
<span>According to the Exterior Angle Theorem, the</span> measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
11x+2=5x+10 + 58
6x=66
x=11
3 0
2 years ago
Work out the smallest integer value of x that satisfies the inequality 4x-3&gt;22. ( I have not learned this question in maths )
matrenka [14]

4x>22+3

4x>25

x>25/4

x>6.35

5 0
3 years ago
Which question is a statistics question that anticipates variability
vlabodo [156]

Porpawnąodopwideząi  topy tanie est ojdpowediź cna

8 0
3 years ago
Read 2 more answers
1. Solve for the x and y intercepts:
aleksandrvk [35]
To find the x-intercept, you simply make y equal to 0 and solve the equation for x. To find the y-intercept, you make x equal to 0 and solve for y. So, for number 1, the answer is D because when you set it to y equals 0, you get x=3 and when you set it to x equals 0, you get 4. 
Number 2 we would do the same thing and get D as well.
Hope this helps!
4 0
2 years ago
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