1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andreyy89
2 years ago
8

C. ax + bx = 10

Mathematics
2 answers:
lubasha [3.4K]2 years ago
5 0

Answer:

x=\frac{10}{a+b} with a \neq -b.

Step-by-step explanation:

So we have:

ax+bx=10 and we are solving for x.

We want to get all terms that have x on one side and all terms without x on the opposing side.  This is actually already done.

Now we are going to factor the side that has the x's.  We are going to factor x out.

x(a+b)=10

Now you have a number times x and you want x by itself. The inverse operation of multiplication is division. So we are going to divide both sides by (a+b):

x=\frac{10}{a+b}

You could probably stop here but just in case....

a+b can't be 0 because then you would have 10/0 which is not a number.

So if we solve a+b=0 we can find out what we don't want and b to be:

a+b=0

Subtract b on both sides:

a=-b

So we we don't want a and -b to be the same value.

BARSIC [14]2 years ago
3 0

Answer:

10/a+b=x

Step-by-step explanation:

Divide both sides by a+b

You might be interested in
Solve 8m-2(14-m)>7(m-4)+3m
emmasim [6.3K]

Answer:

0>0 or error

Step-by-step explanation:

8m-2(14-m)>7(m-4)+3m

8m-28+2m>7m-28+3m

10m-28>10m-28

0>0

5 0
2 years ago
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams. Rounding to
s2008m [1.1K]

Answer:

Part 1 : A=250 e^{-0.008223t}

Part 2 : Half life is 84 minutes ( approx )

Step-by-step explanation:

Part 1 : Suppose the function that shows the amount( in grams ) of the substance after t minutes,

A=A_0 e^{kt}

If t = 0 min, A = 250 grams,

250=A_0 e^{0}

\implies A_0 = 250

If t = 250, A = 32 grams,

32 = A_0 e^{250k}

32 = 250 e^{250k}

0.128 = e^{250k}

Taking ln both sides,

\ln(0.128) = 250k

\implies k =\frac{\ln(0.128)}{250}=-0.008223

Hence, the equation that shows this situation,

A=250 e^{-0.008223t}

Part 2 : If A = 250/2 = 125,

125 = 250 e^{-0.008223t}

0.5 = e^{-0.008223t}

Taking ln both sides,

\ln(0.5) = -0.008223t

\implies t =\frac{\ln(0.5)}{-0.008223}\approx 84

Therefore, the half life of the substance would be 84 minutes.

8 0
3 years ago
Jacob figured out that he could change the zero of a linear equation by changing its slope. If the slope in the equation y = 2x
Ganezh [65]

Answer:  The zero will be at 2 when the line hit the x-axis

Step-by-step explanation:

Caculate

6 0
3 years ago
Read 2 more answers
{c(1) = 3/16<br> {c(n)=c(n−1)⋅4<br> ​ <br><br> what is the 3rd term in this sequence?
mote1985 [20]

Answer:

\large\boxed{c(3)=3}

Step-by-step explanation:

\left\{\begin{array}{ccc}c(1)=\dfrac{3}{16}\\\\c(n)=c(n-1)\cdot 4\end{array}\right

Put n = 2 and next n = 3 to the recursive formula:

c(2)=c(2-1)\cdot4=c(1)\cdot4\to c(2)=\dfrac{3}{16}\cdot4=\dfrac{3}{4}\\\\c(3)=c(3-1)\cdot4=c(2)\cdot4\to c(3)=\dfrac{3}{4}\cdot4=3

4 0
3 years ago
A savings account earns 6% simple interest per year. The principal is $800. What is the balance after 18 months?
Ilia_Sergeevich [38]

Answer:

$872

Step-by-step explanation:

Simple interest = Principle * Rate * Time / 100

= ( 800 * 6 * 18/12 ) / 100

= $ 72

The balance after 18 months = principle + interest

= 800 + 72

= $ 872

8 0
2 years ago
Other questions:
  • Find the value of bx9 when b=8
    8·1 answer
  • Help fgyugyruyvuryfryvseycfyrbseutgbvheryyyaduiik
    9·1 answer
  • 1. Solve for x. Show your solution and justify every step.
    8·2 answers
  • Which postulate or theorem proves that these two triangles are congruent?
    7·2 answers
  • How do i simplify 2a² + 4b + 25a + 15b 8ts for tomorrow pls hurry
    5·1 answer
  • The density of an object can be found using the formula below, where d is the density, m is the mass, and V is the volume.
    8·1 answer
  • If H(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the<br> new equation be?
    15·1 answer
  • tony has 4 cards in front of her. Her task is to choose 1 more to add to her 4 cards so that the sum of all 5 cards is 0
    7·1 answer
  • When graphing an inequality, you use an open dot when you use which symbol?​
    11·2 answers
  • The following table gives data relating the intensity of exercise on a scale of 0-1 and the pulse rate of the person. If the int
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!