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3 years ago

$89.75 scooter; 7 1/4% tax

1 answer:

7 0

If you are looking for the sales tax then you take 89.75 times .075 this will give you 6.73 now you just add 6.73 to 89.75 and you get..

sales tax = $96.48

but if you are looking for the %off you are going to do 89.75 minus 6.73 and you will get....

%off= $83.02

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suppose a parabola has an axis of symmetry at x=-2, a maximum height of 8, passes through the point (-6, 2). Wrire the equation

Virty [35]

Answer:

y = -3/8(x + 2)^2 + 8

Step-by-step explanation:

vertex form is

y = a(x - b)^2 + c where a is a constant and (b,c) is the vertex.

The maximum is at (-2, 8) because x 8 = height and x =-2 is equn. of symmetry

So here we have

y = a(x - (-2))^2 + 8

y = a(x + 2)^2 + 8

Now at the point (-6, 2):

2 = a(-6+2)^2 + 8

2 = 16a + 8

16a = -6

1 = -3/8.

So our equation is y = 3/8(x + 2)^2 + 8

3 0

3 years ago

Alex and Leonardo purchase to matinee movie tickets mantiee ticket cost $6.50 and drinks cost $5.50 and a bag of popcorn cost $6

Veseljchak [2.6K]

Cost= (5.50d+6.00p) +6.50

Coefficients: 5.50 and 6.00
Constant: 6.50
Variables: d and p

6 0

3 years ago

Please help I’ll mark you as brainliest if correct

Nina [5.8K]

Answer:

2/7

Step-by-step explanation:

Find the seperate chances, those being 1/5 and 1/2 and add.

5 0

3 years ago

Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).

Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

$m_1=\frac{7-0}{3-0}=\frac{7}{3}$

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

$y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)$

The slope of the line joining E(7,0), and F(3,7). is:

$m_1=\frac{7-0}{3-7}=-\frac{7}{4}$

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

$y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)$

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0

3 years ago

Work out the equation of the line which has a gradient of 2 and passes through the point (1,4)

Tom [10]

gradient is 2

Step-by-step explanation:

hhhhhhhhfhdd

8 0

3 years ago