All categories

3 years ago

PLease answer 5c + 3 - 2c = 6

Mathematics

1 answer:

cluponka [151]3 years ago

4 0

Answer:

c = 1

Step-by-step explanation:

5c + 3 - 2c = 6 (Combine like terms)

3c + 3 = 6 (Subtract 3 from both sides)

3c = 6 - 3 (Solve)

3c = 3 (Divide by 3)

c = 1

Hope this helped! :)

You might be interested in

What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5

jeyben [28]

Answer:

$\displaystyle c = \frac{20}{3}$

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to x:

$\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]$

Differentiate:

$g'(x) = -21x^2+182x-280$

Let g'(x) = 0:

$0 = -21x^2+182x-280$

Solve for x. First, divide everything by negative seven:

$0=3x^2-26x+40$

Factor:

Zero Product Property:

$x-2=0 \text{ or } 3x-20=0$

Solve for each case. Hence:

$\displaystyle x=2 \text{ or } x = \frac{20}{3}$

Since the first solution is not within our interval, we can ignore it.

Therefore:

$\displaystyle c = \frac{20}{3}$

3 0

3 years ago

What is the measure of qrp

Mice21 [21]

Check the picture below.

notice chord QR is a diameter, thus the vertex at P has a right-angle by Thales theorem.

8 0

3 years ago

Identify the like terms.

Aloiza [94]

The correct answer is C: -3b and 4b.

7 0

3 years ago

The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i

DaniilM [7]

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

4 0

2 years ago

0 = 5x2 - 2x + 6 Solve each of the quadratic equations.

Verizon [17]

Answer:

x=8

Step-by-step explanation:

solve the rational equation by combining expressions and isolating the variable x

8 0

3 years ago