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3 years ago

Solve the compound inequalities: −7x−10≤60 and x−7<−6

Mathematics

1 answer:

hoa [83]3 years ago

8 0

Answer:

x= [ -10, 1)

Step-by-step explanation:

Given

−7x−10≤60 and x−7<−6

Solving first one

−7x−10≤60
-7x ≤ 70
x ≥ -10

Solving second one

x−7<−6
x < 7 - 6
x < 1

Combined:

-10 ≤ x < 1

Interval

x= [ -10, 1)

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Solve 4(3x+3)=15x+7-3x+5

Flura [38]

Answer:

Infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

4(3x + 3) = 15x + 7 - 3x + 5

Step 2: Solve for x

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3 years ago

What percentage is 650 m to 4 km.

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2 years ago

a wire of length 200 cm is cut into two parts and each part is bent to form a square.If the area of the larger square is 9 times

diamong [38]

Answer:

The perimeter of the larger square is $150cm.$

Step-by-step explanation:

First of all, let one part of it be " $x$ "

and the other part of it " $200-x$ "

Now to solve this :

The area of the square = $L^2$

The area of one part of the square = $x^2$

The area of the other part of the square = $(200-x)^2$

$9x^2= (200-x)^2\\9x^2=40000-400x+x^2$

Now, add, $-4x^2$ to both the sides :

$9x^2-9x^2=40000-400x+x^2-9x^2\\-1(8x^2+400x-40000)=0$

Now, take out the "8" which is common :

$-8(x^2+50x-5000)=0$

Now, divide it by $-8$ :

$x^2+100x-50x-5000=0\\x(x+100)-50(x+100)=0\\(x+100)(x-50)=0\\$

$x=-100$ or $50$

So, now we know that :

One of the part is = $50cm$

And the other part is = $150cm$

Thus the perimeter of the larger square is = $150cm$

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3 years ago

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

ra1l [238]

Answer:

y=0.3x-2

Step-by-step explanation:

first find the gradient

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then use this equation

y-y1=m(x-x1)

y-(-2)=0.3(x-0)

y+2=0.3x-0

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3 years ago