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Rom4ik [11]
3 years ago
12

Is the ordered pair a solution of y ≥ 2x − 5? a. (3, 1) b. (1, −4)

Mathematics
1 answer:
Deffense [45]3 years ago
4 0

Answer:

a. Yes

b. No

Step-by-step explanation:

To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.

1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:

1 \geq 2(3)-5\\1\geq 6-5\\1\geq 1

1 is greater than or equal to 1, so (3,1) is a solution.

2) Second, do the same with the point (1, -4). Substitute 1 for x and -4 for y:

-4\geq 2(1)-5\\\\-4\geq 2-5\\-4\geq -3

However, -4 is not greater than or equal to -3, thus (1, -4) is not a solution.

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Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use
Simora [160]

Answer:

the area is 10 feet by 10 feet, 100 feet²

subtract the area of the circle from this.

you get it by A = r² * pi

so 5² * 3.14159...

=78.5398163397

100-78.5398163397

is roughly 21.46 square feet

7 0
3 years ago
Holly is taking out a loan in the amount of $10,000. Her choices for the loan are a 4-year loan at 4% simple interest and a 6-ye
notsponge [240]

Answer:

The difference in the amount of interest she would have to pay for the two loans is $1,400

Step-by-step explanation:

The amount of loan Holly is taking out, P = $10,000

The choices available for the loan are;

1) Loan duration, T₁ = 4-year

Interest rate, R₁ = 4%

2) Loan duration, T₂ = 6-year

Interest rate, R₂ = 5%

For the first choice, we have;

The simple interest, I, given by the formula;

I_1 = \dfrac{P \times  R_1 \times T_1 }{100} = \dfrac{10,000 \times  4 \times 4 }{100} = \$ 1,600

For the second choice, we have;

The simple interest, I, given by the formula;

I_2 = \dfrac{P \times  R_2 \times T_2 }{100} = \dfrac{10,000 \times  5 \times 6 }{100} = \$ 3,000

The difference, D, in the amount of interest she would have to pay for the two loans is therefore;

D = I₂ - I₁ = $3,000 - $1,600 = $1,400

The difference in the amount of interest she would have to pay for the two loans = D = $1,400.

7 0
3 years ago
Read 2 more answers
Hello! Question.
Bumek [7]
If I’m analyzing the question correct, you would pay 912 in total
8 0
3 years ago
ILL MARK BRAINLIEST HELP!!!!
stepan [7]

Answer:

30

Step-by-step explanation:

let EFH = x

Let GFH = y

x + y = 90

x = 2y

Substitute: 2y + y = 90

3y = 90

y = 30

5 0
3 years ago
Caitlin has 4 and 3/4 lb of place use 1 1/10 pound to make a cup and another 2 pounds to make a jar how many pounds are left
g100num [7]
We know that
4 3/4---------> (4*4+3)/4----------> 19/4
1 1/10-----------> (10*1+1)/10----> 11/10

[pounds left]=[(19/4)-(11/10)-(2)]----> (10*19-4*11-40*2)/40
=(190-44-80)/40-------> 66/40---------> 1.65 pounds
1.65-----> 1 65/100--------> 1 13/20 pounds

the answer is 1.65 pounds  (1 13/20 pounds)


7 0
3 years ago
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