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Natalka [10]
3 years ago
6

Find the product of (4x + 3y)(4x − 3y).

Mathematics
1 answer:
Alika [10]3 years ago
8 0
(4x + 3y)(4x − 3y) = (4x)^2 -12xy + 12xy - (3y)^2 =
16x^2 - 9y^2
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Talia has a daily budget of $94 for a car rental. Write and solve an inequality to find the greatest distance Talia can drive ea
MariettaO [177]

Answer:

Step-by-step explanation:

Distance traveled by Talia = x

Cost for travelling 'x' miles = x * 0.20 = 0.2x

Daily budget = $94

Inequality,

30 + 0.2x ≤ 94

Solution:

0.2x ≤ 94 - 30      

0.2x ≤ 64        {Divide both sides by 0.2

   x ≤ 64/0.2

 x ≤ 320

4 0
3 years ago
Read 2 more answers
What does the y-intercept represent?
lara31 [8.8K]
Where a line goes across the y axis
Or in the formula y = mx + c, the y axis is represented by c
8 0
3 years ago
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Challenge A movie theater sends out a coupon for 15% off the price of a ticket. Write an equation
marshall27 [118]

Answer:

The equation is y= 0,65 x

If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately  pays (y) is  the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.

The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).

Step-by-step explanation:

The price without discount (or without the coupon) is x.

The price with discount (or with coupon) is y.

y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.

4 0
3 years ago
In the equation x+12=30 does x=16 explain your answer
denpristay [2]
No x does NOT equal 16. you would substitute x for 16 which gives you 16+12. That equals 28 not 30. The correct answer is x=18
4 0
3 years ago
A boy borrowed his boat 531 feet out into the ocean. When he looked back he saw the house on a cliff above the beach where he se
Ludmilka [50]

Answer:

259 ft.

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.

A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.

Let h represent the height of the house above water, hence using trigonometric ratios:

tan(26) = h / 531

h = 531 * tan(26)

h = 259 ft.

8 0
3 years ago
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