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3 years ago

What is 5/6h-7/12=-3/4h-13/6

Mathematics

1 answer:

alexandr1967 [171]3 years ago

3 0

Answer:

-1

Step-by-step explanation:

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Which graph represents the solution set of the system of inequalities? {−2x+y≤4 {y>x+2

Marat540 [252]

The answer is

hope it helps

6 0

2 years ago

Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7

Lapatulllka [165]

The first equation is $y-2x+1=0$

$y=2x-1$ (Equation 1)

The second equation is $4x^{2}+3y^{2}-2xy=7$ (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

$4x^{2}+3(2x-1)^{2}-2x(2x-1)=7$

$4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7$

by simplifying the given equation,

$12x^{2}-10x-4=0$

$6x^{2}-5x-2=0$

Using discriminant formula,

$D=b^{2}-4ac$

$D=25-4 \times 6 \times -2 = 73$

Now the formula for solution 'x' of quadratic equation is given by:

$x=\frac{-b+\sqrt{D}}{2a} and x=\frac{-b-\sqrt{D}}{2a}$

$x=\frac{5+\sqrt{73}}{12} and x=\frac{5-\sqrt{73}}{12}$

Hence, these are the required solutions.

8 0

3 years ago

5. Class 7887 has 2:7 math classes daily. How many math classes do they have

ANTONII [103]

Answer:

56.7

Step-by-step explanation:

2.7 x 21 = 56.7

5 0

3 years ago

what is perpendicular to y= 3x -9 and passes through the point (3,1)

GREYUIT [131]

$(3,1) , \ \ y= 3x -9 \\ \\ The \ slope \ is :m _{1} =3 \\ \\ If \ m_{1} \ and \ m _{2} \ are \ the \ gradients \ of \ two \ perpendicular \\ \\ lines \ we \ have \ m _{1} \cdot m _{2} = -1 \\ \\3\cdot m_{2}=-1 \ \ /:3\\ \\ m_{2}=-\frac{1}{3}$

$\Now \ your \ equation \ of \ line \ passing \ through \ (3,1) would \ be: \\ \\ y=m_{2}x+b \\ \\1=-\frac{1}{ 3} \cdot3 + b$

$1=-1+b\\ \\ b=1+1\\ \\b=2 \\ \\ y =- \frac{1}{3}x+2$

6 0

3 years ago

Mary and Mike went to the store to buy colored pencils for their science class.mike bought a 12-pack for 1.69,and Mary bought a

sweet-ann [11.9K]

12-pack for 1.69 is a better buy

Solution:

Given that, Mike bought a 12-pack for 1.69 and Mary bought a 24-pack for 3.18

We have to find which is the better buy

First we have to find the unit rate

Unit rate is cost of 1 pack

Mike bought a 12-pack for 1.69

Therefore,

Cost of 12 pack = 1.69

Cost of 1 pack is found by dividing 1.69 by 12

$cost\ of\ 1\ pack = \frac{1.69}{12} = 0.14083$

Thus unit rate of Mike is 0.14083 dollar per pack

Mary bought a 24-pack for 3.18

Cost of 24 pack = 3.18

Cost of 1 pack is found by dividing 3.18 by 24

$cost\ of\ 1\ pack = \frac{3.18}{24} = 0.1325$

Thus unit rate of Mary is 0.1325 dollars

On comparing both the unit rate

$0.14083>0.1325$

Thus unit rate of Mike is larger

Thus, 12-pack for 1.69 is a better buy

3 0

2 years ago