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hodyreva [135]
3 years ago
9

Identify the solution of the system of equation 2x+4=0 Y=5-3x

Mathematics
2 answers:
lbvjy [14]3 years ago
7 0
\left \{ {{2x+4=0} \atop {y=5-3x}} \right. \\\\From\ first\ equation:\\2x+4=0\\2x=-4\ \ \ \ |:2\\x=-2\\\\y=5-3\cdot(-2)\\y=5+6=11
nexus9112 [7]3 years ago
5 0
2x+4=0\\
y=5-3x\\\\
2x=-4\\
y=5-3x\\\\
x=-2\\
y=5-3x\\\\
y=5-3\cdot(-2)\\
y=5+6\\
y=11\\\\
x=-2,y=11
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Last year, Nicholas started babysitting to earn extra spending money. Over the summer, he tracked how much money he earned at ea
Ierofanga [76]

Answer:

25%

Step-by-step explanation:

The 5 values of the given box plot are;

The minimum value = 20

The first quartile, the 25th percentile point, Q₁ = 25

The median or second quartile, the 50th percentile point, Q₂ = 30

The third quartile, the 75th percentile point, Q₃ = 40

The maximum value = 55

The range = The maximum value - The minimum value

∴ The range = 55 - 20 = 35

We note that Nicholas earned $25 or less from the minimum value up to first quartile, Q₁, which is the 25th percentile point, where we have 25 percent of the data points

Therefore, the percent of the time Nicholas earned $25 or less is 25 percent of the time.

8 0
2 years ago
1. Let f(x) = x + 3 and g(x) = 3x + 5. Find f(g(4)) - g(f(4)) 2. Let f(x) = 5x^2 - 5. What is f(f(x))? 3. Let f(g(x)) = 3x + 3 a
ludmilkaskok [199]

Answer:

1. f(g(4)) - g(f(4)) = -6

2. f(f(x)) = 125x^4 - 250x^2 + 120

3. a + b = 0

4. g(4) = -9

Step-by-step explanation:

1.

First we need to find f(4) and g(4):

f(4) = 4 + 3 = 7

g(4) = 3*4 + 5 = 17

Then, we find g(f(4)) = g(7):

g(7) = 3*7 + 5 = 26

And we find f(g(4)) = f(17):

f(17) = 17 + 3 = 20

so f(g(4)) - g(f(4)) = 20 - 26 = -6

2.

To find f(f(x)), we use the value of f(x) for every x in f(x):

f(f(x)) = 5*(f(x))^2 - 5 = 5*(5x^2 - 5)^2 - 5 = 5*(25x^4 - 50x^2 + 25) - 5

f(f(x)) = 125x^4 - 250x^2 + 120

3.

To find f(g(x)), we use the value of g(x) for every x in f(x):

f(g(x)) = g(x) + 6 = ax + b + 6 = 3x + 3

ax + (b+6) = 3x + 3 -> a = 3 and b = -3

a + b = 3 - 3 = 0

4.

If we assume g(x) = ax + b, we have:

g(f(x)) = a*(2x - 3) + b = 2ax - 3a + b = 5 - 4x

2a = -4 -> a = -2

-3a + b = 5

6 + b = 5 -> b = -1

g(x) = -2x - 1

g(4) = -2*4 - 1 = -9

7 0
3 years ago
Find the value of x for the question shown above​
Sindrei [870]

hint; the sum of all angles in a triangle is 180° !

^so all together it’s gonna be 180 !

hope this helped !

i’m pretty sure the value of it (x) is 12 but am not sure
8 0
2 years ago
Distributive property 3(x-1)=3x-
user100 [1]
The answer is 3x-3. You have to distribute the 3 to both of the variables in the equations. The 1 in the parentheses is a negative and multiplying the 3 will result in a negative 3.
5 0
3 years ago
Solve the inequality for x. Show each step of the solution. 2x>4(3x-5)-20
Elden [556K]

Answer:

x>4

Step-by-step explanation:

2x>4(3x-5)-20

2x>12x-20-20

2x>12x-40

2x-12x>-40

-10x>-40

x>4

8 0
3 years ago
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