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2 years ago

Is ( 0,0) a solution to this system? y<=x^2-4 y>2x-1?

Mathematics

2 answers:

pashok25 [27]2 years ago

7 0

No.

Your proposed solution does not satisfy the first inequatlity.
0 ≤ 0 - 4 . . . . . not true

Xelga [282]2 years ago

3 0

Answer:

The point $(0,0)$ is not a solution of the system of inequalities

Step-by-step explanation:

we have

$y\leq x^{2} -4$ -----> inequality A

$y> 2x-1$ -----> inequality B

we know that

If a ordered pair is a solution of the system of inequalities

then

the ordered pair must be satisfy the inequalities of the system

Verify

For $x=0, y=0$

substitute the value of x and the value of y in the inequalkity A and in the inequality B

Inequality A

$0\leq 0^{2} -4$

$0\leq -4$ -------> is not true

therefore

The point $(0,0)$ is not a solution of the system of inequalities

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Neporo4naja [7]

1 + 0.25 will equal 1.25

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2 years ago

A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest

Helen [10]

Answer:

The youngest child will receive $2000

Step-by-step explanation:

A father decided to give 25% of his monthly income to his three children as their monthly allowance.

The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:

100 - (45 + 20) = 100 - 65 = 35%

The second child received $3500.

Let the 25% of his monthly income be x.

Hence:

35% of x = 3500

=> $\frac{35}{100} * x = 3500$

$x = \frac{3500 * 100}{35}$

x = $10000

The amount the man shared among his children is $10000.

Hence, the youngest child (20%) will receive:

20% of $10000

$\frac{20}{100} * 10000$

= $2000

The youngest child will receive $2000.

3 0

3 years ago

There are 35 boys in band and 49 girls in band. Ryan says that the ratio of 10 poi boys to girls is 5 to 7. Which statement is t

agasfer [191]

Answer:

A. He is right because 5 x 7 = 35 and 7 x 7 = 49. Since they are both multiplied by 7, they are equal.

Step-by-step explanation:

Explained in the answer.

3 0

3 years ago

Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022

miss Akunina [59]

Answer:

80.66

Step-by-step explanation:

$L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)$

$f(x, y, z) = x^2+y^2+z^2$

Since we have three variables,

$L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)$

$f(4, 4, 7) = 4^2+4^2+7^2=81$

$f_x (a, b,c)=2x=2*4=8\\f_y (a, b,c)=2y=2*4=8\\ f_z(a,b,c)=2z=2*7=14$

Therefore:

$L(x, y,z) = 81+ 8(x - 4) + 8 (y - 4) +14(z-7)$

Using the above:

f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

The approximation of $4.02^2 + 3.99^2 + 6.97^2$ is 80.66000.

3 0

2 years ago

There are 25boys and 15girls in a class.if a student is picked at random .what is the probability that the student is a girl

emmasim [6.3K]

Answer:

Step-by-step explanation:

Total Students in Class = 25+ 15=40

Probability= (Number of Girls in Class) ÷ (Total students in Class)

Probability of girl= 15 ÷ 40 = 0.375

7 0

2 years ago