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Andrei [34K]
3 years ago
15

Which system of linear inequalities is represented by the graph?

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0
First line....solid line...means there is an equal sign in the problem....it has a y int of (0,2)....it has a slope of -1/3....and it is shaded below the line...the inequality for this line is : y < = - 1/3x + 2 <== this is one of them

2nd line...dashed line...means there is no equal sign....it has a y int of (0,3)...it has a slope of 2/3...and it is shaded above the line...so the inequality for this line is : y > 2/3x + 3 <== this is ur other inequality
You might be interested in
Order the numbers from least to greatest. 0.3, 9/25, 33%, 0.35
Finger [1]

Answer:

0.3(least)

0.33

0.35

0.36(greatest)

Step-by-step explanation:

Okay, so first we need to have all of our numbers in the same category of variable. So first, we will convert 9/25 to a decimal.

To do that, we must divide 9 by 25 to get our answer of 0.36.

Now, we will convert the 33% to a decimal by dividing it by 100 to get 0.33

We now have our list, which should be ordered as:

0.3

0.33

0.35

0.36

5 0
2 years ago
The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

6 0
3 years ago
At the beach, 29% of people are on the boardwalk and 26% are on the sand. If the rest are in the water, what percentage of peopl
natali 33 [55]

Answer:

45% of the people are in the water

Step-by-step explanation:

100%-29%=71%

71%-26%=45%

6 0
3 years ago
A model of a famous statue is 1 1/2 inches tall. The actual statues is 3 3/4 feet tall. What is the ratio of the height of the m
Fittoniya [83]
2.5 because 1.5 x 2.5 = 3.75
3 0
3 years ago
Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.
7nadin3 [17]

Answer:

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

Step-by-step explanation:

Antiderivative F(x)

This is the integral of F^{\prime}(x)

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

F(x) = \int (6 + 24x^3 + 18x^5) dx

F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K

F(x) = 6x + 6x^4 + 3x^6 + K

F(1)=0

F(X) = 0 when x = 1. We use this to find K.

F(x) = 6x + 6x^4 + 3x^6 + K

0 = 6 + 6 + 3 + K

K = -15

Thus

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

7 0
3 years ago
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