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jok3333 [9.3K]
4 years ago
13

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:

7

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.

3x

3

=

−21

3

x=−7

Answer:

x=−7

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When does an absolute value equation have no solution? Help pls
scoray [572]

The first thing that comes to mind that an absolute value cannot have a nagative output, in other words, if you have an function that is equal to a negative number, then there is no solution.

5 0
3 years ago
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The age of a father is two less than seven times the age of his son in two years the sum of their ages will be 57 if the son's p
ASHA 777 [7]

Answer:

f = 7s -2

f  + s =53

Step-by-step explanation:

Given

Let

f = Father's age

s = Son's age

We'll solve this question, while reading through the instructions

From the first statement;

f is 2 less than 7 times s.

This means

f = 7s -2

In two years time, the father will be f +2 and the son will be s + 2

So, their sum is:

(f+2) + (s + 2) = 57

f + 2 + s + 2 =57

Collect like terns

f  + s =57-2-2

f  + s =53

So, the equations are:

f = 7s -2

f  + s =53

5 0
3 years ago
Some sources report that the weights of​ full-term newborn babies in a certain town have a mean of 8 pounds and a standard devia
Elodia [21]

Answer:

0.682 is the probability that one newborn baby will have a weight within one standard deviation of the​ mean.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  8 pounds

Standard Deviation, σ = 0.6 pounds

We are given that the distribution of weights of​ full-term newborn babies is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(weight between 7.4 and 8.6 ​pounds)

P(7.4 \leq x \leq 8.6) = P(\displaystyle\frac{7.4 - 8}{0.6} \leq z \leq \displaystyle\frac{8.6-8}{0.6}) = P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%

P(7.4 \leq x \leq 8.6) = 6.82\%

This could also be found with the empirical formula.

0.682 is the probability that one newborn baby will have a weight within 0.6 pounds of the mean.

7 0
3 years ago
Find an equation of a sphere if one of its diameter has endpoints (2,1,4) and (4,3,10)
lara31 [8.8K]

Answer:

(x-3)^2+(y-2)^2+(z-7)^2 =11

Step-by-step explanation:

Given that a sphere has one diameter having endpoints (2,1,4) and (4,3,10)

We can find the mid point of these two points and that would be the centre

If we find distance between these two points that would be twice radius.

Distance = 2r = \sqrt{(4-2)^2+(3-1)^2+(10-4)^2} \\=\sqrt{44}

So radius = \sqrt{11}

Centre of sphere = mid point of two points

= (3, 2, 7)

Using centre radius formula sphere has equation as

(x-3)^2+(y-2)^2+(z-7)^2 =11

4 0
4 years ago
I have to find the slope for 4. ASAP please help
Lorico [155]

Given:

The objective is to find the slope of the straight line.

Explanation:

The general equation to find the slope is,

m=\frac{y_2-y_1}{x_2-x_1}

Let's consider two coordinates from the graph.

\begin{gathered} (x_1,y_1)=(0,0) \\ (x_2,y_2)=(-1,5) \end{gathered}

On plugging the values in the equation of slope,

\begin{gathered} m=\frac{5-0}{-1-0} \\ m=-5 \end{gathered}

Hence, the slope of the straight line is -5.

3 0
2 years ago
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