All categories

3 years ago

8x = 2y + 5 3x = y + 7 Solve the system of equations by substitution.

1 answer:

8 0

3x = y + 7
 y =3x-7

8x = 2y + 5
8x = 2(3x-7) + 5
8x=6x-14+5
8x-6x=-9
2x=-9
x=-4.5

8x = 2y + 5
8(4.5)=2y+5
36=2y+5
2y=31
y=15.5

You might be interested in

Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.

nadya68 [22]

Answer:

f'(x) $=2(e^4^x)+(x^2+1)(4e^4^x)$

Step-by-step explanation:

The derivative of the function:

$(x^2+1)e^4^x$

The rule for the product of two functions:

f'(x) $=g'(x)h(x)+g(x)h'(x)$

Therefore

g(x) $=x^2+1$

g'(x) $=2$

f(x) $=e^4^x$

f'(x) $=4e^4^x$

f'(x) $=2(e^4^x)+(x^2+1)(4e^4^x)$

4 0

3 years ago

If the probability of a student taking a calculus class is 0.10, the probability of taking a statistics class is 0.90, and the p

Stells [14]

Answer:

93% probability of a student taking a calculus class or a statistics class

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student takes a calculus class.

B is the probability that a student takes a statistics class.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student takes calculus but not statistics and $A \cap B$ is the probability that a student takes both these classes.

By the same logic, we have that:

$B = b + (A \cap B)$

The probability of taking a calculus class and a statistics class is 0.07

This means that $A \cap B = 0.07$

The probability of taking a statistics class is 0.90

This means that $B = 0.9$ . So

$B = b + (A \cap B)$

$0.9 = b + 0.07$

$b = 0.83$

The probability of a student taking a calculus class is 0.10

This means that $A = 0.1$

$A = a + (A \cap B)$

$0.1 = a + 0.07$

$a = 0.03$

What is the probability of a student taking a calculus class or a statistics class

$A \cup B = a + b + A \cap B = 0.03 + 0.83 + 0.07 = 0.93$

93% probability of a student taking a calculus class or a statistics class

5 0

3 years ago

Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books

Fantom [35]

Answer:

3b = 27

Step-by-step explanation:

They will each receive 9 books

7 0

3 years ago

Find the area. The figure is not drawn to scale. 7.6. 3.7

lora16 [44]

Answer:

28.12

Step-by-step explanation:

6 0

3 years ago

NEED HELP FAST!!!

faust18 [17]

In order to solve the formula

$C=\pi d$

in terms of d, you simply have to divide both sides by pi:

$d=\dfrac{C}{\pi}$

The total height of the earring is the sum of the diameters of the circles. Given their circumferences, the diameters are

$d_1=\dfrac{6}{\pi},\quad d_2=\dfrac{8}{\pi}$

So, the total height is

$h=d_1+d_2=\dfrac{6}{\pi}+\dfrac{8}{\pi}=\dfrac{14}{\pi}$

6 0

3 years ago