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olga55 [171]
3 years ago
11

Helllllllpppp meeeee

Mathematics
1 answer:
ELEN [110]3 years ago
4 0

Answer:slope is 4 and the y-intercept is 12

Step-by-step explanation: I hope this helps

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4. The diagram at right shows the graph of 3x + 4y = 12. The shaded figure is a square, three of whose vertices are on the coord
nikklg [1K]

Remark

This is a very interesting question.  Draw a line from the origin to where the upper right vertex of the square touches the line. That line has the property that the its equation is y = x. So the "solution" to the point of intersection is the solution of the two equations.

y =  x            (1)

3x + 4y = 12 (2)

Put x in for y in equation 2

3x + 4x = 12

7x = 12

x = 12/7

x = 1.714

y = 1.714

Problem A

<em><u>x intercept</u></em>

The x intercept occurs when y = 0

3x + 4(0) = 12

3x = 12                Divide by 3

x = 12/3

x = 4

the x intercept = (4,0)

<em><u>y intercept</u></em>

The y intercept occurs when x =0

3(0) + 4y = 12

4y = 12

y = 12/4

y = 3

y intercept = (0,3)

Problem B

x and y both equal 1.714 so they are also the length of the square's side.

Problem C

See solution above. x =y is the key fact.

x = y = 1.714

5 0
3 years ago
What is the slope and y-intercept of the linear equation y = 5x − 4? <br> M= ? <br> B= ?
Feliz [49]

Answer:

M=5

B= -4

Step-by-step explanation:

y = mx + b

7 0
3 years ago
Read 2 more answers
Don went to his favorite restaurant and ordered a meal. His bill came out to $15.77. He wants to pay a 15% tip. How much did he
melamori03 [73]
You want to leave a 15% tip on a meal that cost $15.77.
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $15.77 meal cost is.This is always done by multiplying 0.15 by $15.77, or

0.15 x $15.77=$2.37.
So, the amount of tip you are going to leave is $2.37.

This makes the total cost of your meal (to write on your charge slip or other payment)

$15.77 + $2.37 = $18.14

$18.14 is your answer
5 0
3 years ago
What's the estimate of 1925 × 7​
Reil [10]

Answer:

13,500

Step-by-step explanation:

1925 x 7 = 13,475

13,475

5 and up means round up so we start at the ones place.

13,500

Hopefully this helps you :)

pls mark brainlest ;)

5 0
3 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

A=(1500-2y)y\\\\A=1500y-2y^2 .....(3)

For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

A =1500(375)-2(375)^2\\A=281250\ m^2

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0
3 years ago
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