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blagie [28]
3 years ago
15

Does anyone know how to do this?

Mathematics
1 answer:
Inessa [10]3 years ago
3 0
Y=mx+b is slope intercept form.
your answer would be y= -3/2+4
You might be interested in
How many solutions does this system have?
Julli [10]

Answer:

one solution

Step-by-step explanation:

* Lets start to solve the question

- The 1st equation x - y = -4

- The 2nd equation 3x + y = 8

- We will use the elimination method to solve this system of equation

∵ x - y = -4 ⇒ (1)

∵ 3x + y = 8 ⇒ (2)

- Add the two equation (1) and (2) to eliminate y

∴ x + 3x = -4 + 8

∴ 4x = 4

- Divide both sides by 4

∴ x = 1

- Substitute the value of x in equation (1) or equation (2) to find

  the value of y

- We will use equation (1)

∴ 1 - y = -4

Subtract 1 from both sides

∴ -y = -5

- Divide both sides by -1

∴ y = 5

∴ The solution is (1 , 5)

* The system has one solution

6 0
3 years ago
Read 2 more answers
In whole milk, 13 parts out of 400 are milk fat. In 2% milk, 1 part out of 50 is milk fat. Which type of milk has more milk fat
ale4655 [162]
Whole milk because 1 out 50 milk fat is equal to 9 out of 400 milk fat so whole milk has more.
4 0
3 years ago
Read 2 more answers
.......................
hodyreva [135]

Answer:

1) when tomato patch is 6.5 feet the area is 191.75 sq.ft

2)  when tomato patch is 7 feet the area is 217 sq.ft

3) when area is 338 sq.ft the tomato patch is 9.0778 feet

4) when area is 147.25 sq.ft the tomato patch is 5.543799 feet

Step-by-step explanation:

The given equation is  :

3x^2 + 10x

Length of Tomato (in feet)                                       x,  6.5   ,  x   ,     7

Patch Area of Vegetable Garden (in square feet) 338, x , 147.25, x

So we can find the missing terms with the help of the equation 3x^2 + 10x

Putting the values of x from the length of the tomato patch

1)  3x^2 + 10x= 3(6.5)²+ 10 (6.5)=126.75+ 65= 191.75 square feet

2) 3x^2 + 10x= 3(7)² +10 (7)= 147+70= 217 square feet

So the area of  her vegetable garden for a variety of  lengths of the tomato patch= 6.5 feet is 191.75  square feet

and for 7 feet is 217 square feet

Similarly we can find the length of the tomato patch from the area by again using the given equation  3x^2 + 10x

So when area = 338 square feet

The equation becomes  

3x^2 + 10x= 338

Rearranging it :     3x^2 + 10x-338 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= -338

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 4056/6

x= -10± 64.467/6

x= 54.467/6 or -74.467/6   we ignore the negative value because the garden cannot have the negative area.

x= 9.0778 feet

Similarly repeating the same process would give

So when area = 147.25 square feet

The equation becomes  

3x^2 + 10x= 147.25

Rearranging it :     3x^2 + 10x-147.25 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= - 147.25

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 1767/6

x= -10± 43.208/6

x= 33.208/6 or -53.208/6  we ignore the negative value because the garden cannot have the negative area.

x= 5.543799 feet

6 0
3 years ago
Solve for x:<br> 1000 = 500e^2x
myrzilka [38]

Answer: x=2/e^2

Step-by-step explanation:

6 0
3 years ago
Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)
topjm [15]

Answer:

the volume of the parallelepiped is = 36  

Step-by-step explanation:

given,

P(1, 0, −1),      Q(3, 3, 0),      R(3, −3, 0),     S(1, −2, 2)

PQ = Q - P = (2, 3, 1)

PR = R - P  = (2, -3 , 1)

PS = S - P  = (0, -2 , 3)

now volume of parallelopiped

[PQ PR PS] = \begin{bmatrix}2 & 3 &1 \\ 2 & -3 &1 \\ 0 & -2 &3 \end{bmatrix}

now calculating determinant of the matrix

        = 2 (-9+2) -  3 (6-0) + 1 (-4-0)

        = -14  - 18  - 4

        = -36

hence , the volume of the parallelepiped is = 36  

4 0
3 years ago
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