If f(X) = x^2 + 3x + 5, what is f(a+h)?

Solve the system of equations given below.

eduard

Answer:

The system of this equation is ( -1, 10) which is Option A.

Step-by-step explanation:

Solve for y in the first equation.

$y = - 5x + 5 \\ - 2y = - x - 21$

Replace all occurrences of yy with -5x+5 in each equation.

$10x - 10 = - x - 21 \\ y = - 5x + 5$

Solve for x in the first equation.

$x = - 1 \\ y = - 5x + 5$

Replace all occurrences of x with -1 in each equation.

$y = 10 \\ x = - 1$

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−1, 10)

Hence, the system of this equation is (-1, 10). 

Option A.

5 0

3 years ago

A boy weighing blank kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He do

Ira Lisetskai [31]

Answer:

His kinetic energy at the faster speed is 160 J

Step-by-step explanation:

Here in this question, we are interested in calculating the kinetic energy at the faster speed.

Firstly, we need to know the mass of the boy’s body. We can do this by using the kinetic energy formula;

Mathematically;

K.E = 1/2 * m * v^2

From the question;

K.E = 40 Joules

m = ?

v = speed = 2 m/s

Now, plugging these values into the kinetic energy equation, we have;

40 = 1/2 * m * 2^2

40 = 1/2 * m * 4

40 = 4m/2

4m = 40 * 2

4m = 80

m = 80/4

m = 20 kg

Now that we know the mass of the boy’s body, we can proceed to calculate the new K.E

Let’s follow the third statement in the question;

We were told that he doubles his speed upon sighting his friend.

Recall, he was traveling at a speed of 2 m/s.

Now doubling this means the new speed will

be 2 * 2 = 4 m/s

Now, we want to calculate the kinetic energy value at this new speed.

Mathematically, we use the same formula for kinetic energy.

K.E = 1/2 * m * v^2

We know that m is the mass that we calculated as 20kg and our v here is 4 m/s

Plugging these values, we have;

K.E = 1/2 * 20 * 4^2

K.E = (20 * 16)/2

K.E = 320/2

K.E = 160 J

6 0

3 years ago

Read 2 more answers

The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with a standard deviation of

juin [17]

Answer:

I 90%(μ)= [69.648;71.951]

Step-by-step explanation:

The confidence interval formula is:

I (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqr(n)]

alpha= is the proposition of the distribution tails that are outside the confidence interval. In this case, 10% because 100-90%

Z(5%)= is the critical value of the standardized normal distribution. In this case is 1.645

σ= standard deviation. In this case 2.8 inches

mean= 70.8 inches

n= number of observations

Then, the confidence interval (90%):

I 90%(μ)= 70.8+- [1.645*(2.8/sqr(16))

I 90%(μ)= 70.8+- [1.1515)

I 90%(μ)= [70.8-1.1515;70.8+1.1515]

I 90%(μ)= [69.6485;71.9515]

I 90%(μ)= [69.648;71.951]

3 0

3 years ago

The sum of two numbers is

Readme [11.4K]

A+b=45
a>b
a=b+7
→
b+7+b=45
2b+7=45
2b=38
b=19
a=19+7=26

5 0

3 years ago

Which function is a quadratic function? a(x) = –2x^3 + 2x – 6 b(x) = 5x^3 + 8x^2 + 3 c(x) = –8x^2 + 3x – 5 d(x) = 6x^4 + 2x – 3

Sedaia [141]

Answer:

c(x) = –8x^2 + 3x – 5 is a quadratic

Step-by-step explanation:

A quadratic function involves the 2nd power of x: x^2, and may (or may not) involve the 1st and zeroth power of x.

a(x) = -2x^3 is not a quadratic because of that exponent 3; in a quadratic, the highest power is always 2.

b(x) = 5x^3 + 8x^2 + 3 is not a quadratic for the same reason that a(x) is not a quadratic.

c(x) = –8x^2 + 3x – 5 is a quadratic: the highest power of x is x^2, the other powers are x^1 and x^0.

5 0

4 years ago