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amid [387]
3 years ago
14

X^2+13x-30 find the vertex

Mathematics
1 answer:
ra1l [238]3 years ago
6 0

Answer:

(−13/2,−289/4)

Step-by-step explanation:

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The following graph represents the hourly commission of a home appliance salesperson, y, based on the number of salespeople that
grandymaker [24]

We have been given graph of a downward opening parabola with vertex at point (6.5,42.25). We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is f(x)=ax^2+bx+c.

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is y=a(x-h)^2+k, where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

0=-a(0-6.5)^2+42.25

0=-a(42.25)+42.25

-42.25=-a(42.25)+42.25-42.25

-42.25=-42.25a

a=1 Divide both sides by -42.25

So our equation in vertex form would be f(x)=-(x-6.5)^2+42.25.

Let us convert it in standard from.

f(x)=-(x^2-13x+42.25)+42.25

f(x)=-x^2+13x-42.25+42.25

f(x)=-x^2+13x

Therefore, the equation of function is standard form would be f(x)=-x^2+13x.

3 0
3 years ago
Find X FIND Y<br> PlEase Help me
baherus [9]

The X and Y angles created by lines intersection in the pictures are 18° and 54°.

Based on the picture, angle ∠MON is a right angle hence it has an 90° angle. We then know that the ∠MOA is 72°. Because angle ∠MOA lies within the angle ∠MON, hence we can write the following formula:

∠MON = ∠MOA +∠AON = 90°

∠MON = 72° + ∠AON = 90°

∠AON = 18° ... (i)

If we focus on the line CD being intersected by the line AB, hence we can conclude that the angles form by this intersection will follow these rules:

∠AOD = ∠BOC

∠AOC = ∠BOD

∠AOD + AOC = 180°

∠BOC + ∠BOD = 180°

Based on the picture, we know that:

∠BOC = x

∠AOC = ∠MOA + ∠MOC

∠AOC = 72° + y ...(ii)

∠AOD = ∠AON + ∠NOD

∠AOD = 18° +2x

∠BOC = 3x ... (iii)

Because we already know that ∠BOC = AOD, hence we could rewrite the formula into:

∠BOC = ∠AOD

3x = 18° + 2x

x = 18° ... (iv)

To find the value of y, we need to focus on angle ∠AOC. Based on the previous calculations and formulas, we  know that:

∠AOC + ∠BOC = 180° ... (v)

Input equations (ii) and (iv) into (v)

∠AOC + ∠BOC = 180°

(72° + y) + 3x = 180°

72° + y + 3(18°) = 180°

126° + y = 180°

y = 54° ... (vi)

Learn more about the angles by lines intersection here: brainly.com/question/2077876?referrer=searchResults

#SPJ1

4 0
1 year ago
During last year Adam's height increased from 125 cm to 135 cm. By how many percents did it change?
arlik [135]

he increase from 125cm to 135cm

first step :

135 - 125  = 10cm

second step :

percents he change is

\frac{10 \times 100\%}{ 125}  = 8\%

6 0
2 years ago
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John is looking for a job after graduation. The salary which is satisfied with must be $3000 with a tolerance of $500. Which of
Hunter-Best [27]

Answer:

the answer is a

Step-by-step explanation:

6 0
3 years ago
Help now plz asphejdjdb
Cloud [144]

Answer:

l:4

w: 3

l:4

w:1

Step-by-step explanation:

Hope this helps

8 0
2 years ago
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