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ArbitrLikvidat [17]
3 years ago
13

Please help me with this.

Mathematics
1 answer:
inna [77]3 years ago
3 0

Answer:

Plot and connect (5,4), (3,0) and (7,0).

Step-by-step explanation:

This is in factored form and can be graphed directly from the equation. The equation shows the x-intercepts.

The x-intercepts are found by solving for x using the zero product rule.

(x-3)=0 so x = 3

(x-7) = 0 so x = 7

The intercepts are (3,0) and (7,0). Plot the points. The vertex will occur halfway between these points. 7-3 / 2 = 4/2 = 2. This means the axis of symmetry is at x = 5 and this is the x-coordinate of the vertex too.

Substitute x = 5 into the equation and solve for y.

-(5-3)(5-7) = -(2)(-2) = 4

The vertex is (5,4). Plot it and connect the points.

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Am I right? If not what are the correct answers/way to solve? Thank you!
iren2701 [21]
Yes you would be correct
4 0
3 years ago
A wagon is on sale for 20% off. The sale price of the wagon is $114. What was the original price of the wagon, assuming no sales
Sphinxa [80]

The 114 represents 80% of the total price before the sale. You would set up your equation as

Cost Price * 80% = Sale Price.

Sale Price = 114

80% = 80/100 = 0.8

Cost Price = 114/0.8

Cost Price = 142.50 which is the price before the deduction. You can confirm this by taking 20% of 142.50 and subtracting it form 142.50

20% * 142.50

20/100 * 142.50

2850/100

28.50

Now subtract 28.50 from 142.50

142.50 - 28.50 = 114 which is just what you might expect.

5 0
3 years ago
Read 2 more answers
A student received a coupon for 13% off the total purchase price at a clothing store. Let C be the original price of the purchas
frez [133]

Answer:

C-0.13C=0.87C

Step-by-step explanation:

the whole - 13%=87%

3 0
2 years ago
A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza costs $8. Each additional inch cost
kumpel [21]

Answer:This is a function who's value is cost (C) and which has two (instead of the more common one) independent variable. The cost depends on diameter (d) and number of toppings (t). The nomenclature for a function C that depends on variables d & t is C(d,t). The terms of the function include a constant (cost of a 10 inch cheese pizza) and two rates. The rates includes $0.75/topping and $1.50/inch over 10. C(d,t) = 8 + 0.75 t + 1.50 (d-10)

Explanation: there you go Yeon! hopes it the correct for you and have a great day *^-^*

7 0
2 years ago
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. X = t5 1, y = t6 t;
kifflom [539]

The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.

<h3>How to calculate the tangent of the parameter curves at a point?</h3>

The curves are given below.

x = t⁵ + 1 and y = t⁶ + t

Then differentiate the functions with respect to t, then we have

\rm \dfrac{dx}{dt} = 5t^4\\   ...1

and

\rm \dfrac{dy}{dt} = 6t^5 + 1   ...2

Divide equation 2 by equation 1, then we have

\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}

Then the slope of the equation at t = −1, then we have

dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]

dy/dx = (-6+1)/5

dy/dx = -5/5

dy/dx = -1

Then the equation of the tangent line will be

y = -x + c

x + y = c

Where c is a constant.

More about the tangent of the parameter curves at a point link is given below.

brainly.com/question/12648555

#SPJ4

8 0
2 years ago
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