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4 years ago

Help please, what’s: 5x-7+2-2x=-26

Mathematics

2 answers:

Lynna [10]4 years ago

7 0

Answer:

the solution is x = -7

Step-by-step explanation:

Collect terms:

x(5 -2) +(-7 +2) = -26

3x -5 = -26

Add 5 to get the variable term by itself:

3x = -21

Divide by the coefficient of the variable:

x = -7

____

The answer to, "what is it?" is that it is a linear equation in x. After you collect terms, it is what is referred to as a "two-step" linear equation, because it takes two steps to solve it: add 5, divide by 3.

svetoff [14.1K]4 years ago

3 0

Answer:

Let's solve your equation step-by-step.

5x−7+2−2x=−26

Step 1: Simplify both sides of the equation.

5x−7+2−2x=−26

5x+−7+2+−2x=−26

(5x+−2x)+(−7+2)=−26(Combine Like Terms)

3x+−5=−26

3x−5=−26

Step 2: Add 5 to both sides.

3x−5+5=−26+5

3x=−21

Step 3: Divide both sides by 3.

−21

x=−7

Answer:

x=−7

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Question 3: Solve for x

dmitriy555 [2]

Answer:

Step-by-step explanation:

Solving :

$8^{x+2} = 32^{2x+4}$

$2^{3(x+2)} = 2^{5(2x +4)}$

3(x + 2) = 5(2x + 4)

3x + 6 = 10x + 20

10x - 3x = 6 - 20

7x = -14

x = <u>-2</u>

7 0

2 years ago

Fifteen dozen eggs were needed for baking four wedding cakes. The first cake

Mazyrski [523]

Answer:

96 eggs

Step-by-step explanation:

A dozen is equal to 12 eggs, so 15 dozen is equal to 180 eggs

(Because 15*12 = 180)

We already know how many eggs are required for the 1st cake: 12 eggs.

Then it says "each successive cake needs twice as many eggs as the previos cake".

(Successive means the cake directly after the previous cake)

Here's how we find the number of eggs needed for the 2nd cake:

The 1st cake needed 12 eggs, and because the 2nd cake is directly after the 1st cake, we are going to need two times the amount of 12 eggs.

This equation represents the above scenario:

12*2 = 24

So we need 24 eggs for the 2nd cake.

Now we repeat this process for the 3rd cake, finding twice the amount of eggs from the 2nd cake to find the amount of eggs needed for the 3rd cake:

24*2 = 48

And we repeat it once more for the 4th cake, using the eggs from the 3rd cake:

48*2 = 96

So here's the list of how many eggs are required for each of the cakes:

1st cake: 12

2nd cake: 24

3rd cake: 48

4th cake: 96

If you add all the eggs from each of the cakes, you will get 180, which is the number of eggs needed for all four cakes. So our answer is correct.

Hope this helps (●'◡'●)

7 0

4 years ago

Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to

Soloha48 [4]

Answer:

Step-by-step explanation:

essentially the plan that increases the price the most per week reaches the goal of $12 fastest.

plan A is $0.10 per week.

plan B it is not clear, if it means 10% of the original price every week, or every week 10% of the price of the previous week. I assume the first and simplest.

that means 10% of $8 = $0.80 per week.

plan C : the same amount every week until reaching $12. we need to increase in total by $4 (from $8 to $12). to reach these $4 in 8 weeks, we need to increase the price every week by 4/8 = $0.50.

plan D : $0.25 per week.

so, the plan with the highest increase every week and therefore the fastest one reaching $12 is plan B.

8 0

2 years ago

Over which interval(s) is g(x) = x2 + x - 12 positive?

VikaD [51]

Answer:

B. x < -4 and x > 3

Step-by-step explanation:

Factor and set = to 0

$x^{2} + x - 12\\( x + 4)(x - 3)$ = 0

x = - 4 or x = 3 I call these critical values

The two numbers would divide a number line into 3 intervals. Pick a value in one of the intervals and put it in the original expression. If it makes the function positive, then all the values in that interval make the function positive. If the value you picked makes the function negative, then the values in the other intervals will make the function negative. Let's pick the value of 0 and substitute it into the function

We get $0^{2}$ + 0 - 12 = -12 which is not positive. Therefore, all the values between -4 and 3 will make the function negative. So, the values less than -4 or greater than 3 will make the function positive. Therefore, B is the correct answer.

Another way to do this problem is to graph the function and see where the graph is above the x-axis. But, sometimes it is not easy to graph the function.

4 0

3 years ago

Find all values of m so that the function y = emx is a solution of the given differential equation. (enter your answers as a com

astraxan [27]

$y=e^{mx}\implies y'=me^{mx}$

$y'+6y=0\iff me^{mx}+6e^{mx}=(m+6)e^{mx}=0\implies m=-6$

So one solution to the ODE is $y=e^{-6x}$ .

3 0

3 years ago

Read 2 more answers