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SashulF [63]
2 years ago
12

Find the Function and Solution.

Mathematics
1 answer:
ser-zykov [4K]2 years ago
4 0

Answer:

y= (-7/16)

Step-by-step explanation:

Multiply (3/4)(1/4)= (3/16)

y= (3/16)-(5/8)

y= (-7/16)

I hope this is right, im not 100% sure

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Write the equation of the line in point-slope form. ASAP PLS !!!!
Vlad1618 [11]

Answer:

y - 1 = \frac{2}{3}(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = \frac{1+1}{3-0} = \frac{2}{3}

and using (a, b) = (3, 1 ) , then

y - 1 = \frac{2}{3} (x - 3)

8 0
2 years ago
Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age
Vladimir [108]
Assume that the age of Alicia is x and that of Amy is y
Twice the age of Alicia = 27
Eight years older means we will add 8
Therefore, the statement "<span>Amy is eight years older than twice her cousin Alicia’s age" can be represented as follows:
y = 8 + 2x (equation)
The sum of their ages is less than 32 can be represented as:
x + y < 32 which can also be written as y < 32-x (inequality)
</span>
7 0
3 years ago
if the windows cost 159.00 each she wants to buy 10 and spend $ 200.00 for a door. how much would she have to save?​
dlinn [17]

Answer:

$1,790

Step-by-step explanation:

159.00 x 10 = 1590

200 x 1 = 200

1590 + 200 = 1790

6 0
3 years ago
Read 2 more answers
!!20 POINTS!! Claire filled up her car with gas before embarking on a road trip across the country. Let G represent the number o
pentagon [3]

Answer:

G=-\frac{5}{4}t+15

Slope = -\frac{5}{4}

Step-by-step explanation:

Let the equation representing the number of gallons left in the gas tank is,

G = mt + b

Where m = slope of the line

b = y-intercept of the line

Slope of the line passing through two points (x_1,y_1) and (x_2,y_2) is,

'm' = \frac{y_2-y_1}{x_2-x_1}

Slope of the line passing through (8, 5) and (4, 10),

m = \frac{10-5}{4-8}

m = -\frac{5}{4}

Equation of line will be,

G = -\frac{5}{4}t+b

Since, point (8, 5) lies on this line,

5 = -\frac{5}{4}(8)+b

5 = -10 + b

b = 15

Therefore equation of the function will be,

G = -\frac{5}{4}t+15

Here slope of the function represents the \frac{5}{4} gallons of gas is consumed to drive the car for one hour.

4 0
3 years ago
A vacant lot is being converted into a community garden. The garden and and a walkway around its perimeter have an area of 460 s
mariarad [96]

Answer:

The width of the walkway is 4 feet.

Step-by-step explanation:

The garden and a walkway around its perimeter have an area of 460 square feet.

The length of the garden = 15 feet

The width of the garden = 12 feet

Assuming that walkway is of uniform width, we can solve the following equation.

(12+2x)\times(15+2x)= 460

Expanding this we get;

4x^{2}+54x+180=460

=> 4x^{2}+54x-280=0

We will solve this using quadratic equation formula:

x=\frac{-b\pm \sqrt{b^{2} -4ac} }{2a}

Here a = 4 , b = 54 , c = -280

We get the roots as x = 4 and x = -\frac{35}{2}

Neglecting the negative value, we will take x = 4 feet.

Hence, the width of the walkway is 4 feet.

5 0
3 years ago
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