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Rama09 [41]
3 years ago
13

Jimmy is making a rectangular sandbox in his backyard for his son. Jimmy will be using wood to frame the sides of the sandbox. H

e wants the length of the sandbox to be 4 feet longer than the width. Jimmy can use no more than 60 feet of wood. What inequality can show a possible width for the sandbox?
Mathematics
1 answer:
otez555 [7]3 years ago
3 0
10 x 6 = 60
6 + 4 = 10
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Explain how you can use the inverse relationship of addition and subtraction to solve the equation n+7=25.
juin [17]

answer:

25-7=n. n = 18

Step-by-step explanation:

...

3 0
3 years ago
It is known that x1 and x2 are roots of the equation 3x^2+2x+k=0, where 2x1=−3x2. Find k.
miss Akunina [59]

Answer:

k = 8

Step-by-step explanation:

Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.

By the roots of an equation, ax² + bx + c , where its roots are  x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.

Comparing both equations, a = 3 b = 2 and c = k.

So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3

x₁ + x₂ = -2/3 and x₁x₂ = k/3

3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)

Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have

3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)

3x₁ + (-2x₁) = -2  and x₁(3x₂) = k

3x₁ - 2x₁ = -2  and x₁(3x₂) = k  

x₁ = -2  and x₁(-2x₁) = k  

x₁ = -2  and -2x₁² = k  

Substituting x₁ = -2 into -2x₁² = k, we have

-2x₁² = k

-2(-2)² = k

2(4) = k

8 = k

So, k = 8

7 0
4 years ago
PKEASE HELP Based on the graph, what is one solution of the equation f(x) = g(x)? graph of function f of x equals negative x plu
Oksanka [162]

Answer:

x=1

x=-5

Step-by-step explanation:

we know that

The solution of the system of equations is the intersection point both graphs

In this problem there are two intersection points

so

The system has two solutions

we have

one solution is the point (-4.9, 5.4) and the other (0.92, -0.42)

see the attached figure

therefore

x=1

x=-5

Step-by-step explanation:

8 0
3 years ago
Find the x-intercept and y-intercept of the line.<br> 4x+6y= -12
wel
4x+6y=-12 
Make y by itself 
6y=-4x-12 
y=-2/3x-2 
Y intercept: (0,-2) 
X-intercept: 
0=-2/3x-2 
2=-2/3x 
x= -3 
(-3,0)

Hope that helps
4 0
3 years ago
An angle measures 10° less than the measure of its supplementary angle. What is the measure of each angle?​
spin [16.1K]

Answer:

The two angles are 85 and 95 degrees

Step-by-step explanation:

Supplementary angles add to 180

Let x be one angle

The supplement is 10 less,  ( x-10)

They add to 180

x+ ( x-10) = 180

2x -10 = 180

Add 10 to each side

2x-10+10 =180-10

2x= 190

Divide by 2

2x/2 =190/2

x=95

The other angle is 95-10 = 85

The two angles are 85 and 95 degrees

8 0
3 years ago
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