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3 years ago

Solve the equation 13-2x=-7

2 answers:

8 0

Subtract 13 from both sides.

-13
-7 = -20

-2x = -20

Divide by 2 on both sides.
Remember: Negative divided by a negative makes a positive.

-2/-2 = 1
-20/-2 = 10

Your answer:
x = 10

Ilya [14]3 years ago

6 0

▶13 - 2(x) - -7 = ?
? = 0

▶20 - 2(x)
Two is a negative
So, -2 = ?
Remember, that I said the mysterious number is '0' until we get to the REAL answer!

▶ (x) - 10 = 0
If we 'add' from your side we will get your result!

▶We have One Solution in this problem◀

⚠So, lets test it out⚠

✔ x - 10 = 0
+10
-------
✔10✔

▶✅x = 10✅

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Describe the relationship between the terms in each arithmetic sequence. Then

shtirl [24]

Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

$0,9,18,27$

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

$d = T_n - T_{n-1}$

Take n as 2

$d = T_2 - T_{2-1}$

$d = T_2 - T_{1}$

Where

$T_2 = 9\ and\ T_1 = 0$

$d =9-0$

$d =9$

<em>The relationship is: The sum of the previous term and 9</em>

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

$Next\ Term = 27 + 9 = 36$

$Next = 36 + 9 = 45$

$Next = 45 + 9 = 54$

Hence, the next three terms are: 36, 45 and 54

4 0

3 years ago

How to solve n-5*2/3=3/4

Scorpion4ik [409]

$n-5\cdot\dfrac{2}{3}=\dfrac{3}{4}\\\\n-\dfrac{10}{3}=\dfrac{3}{4}\ \ \ \ |\cdot12\\\\12n-12\cdot\dfrac{10}{3}=12\cdot\dfrac{3}{4}\\\\12n-4\cdot10=3\cdot3\\\\12n-40=9\ \ \ \ |+40\\\\12n=49\ \ \ \ \ |:12\\\\n=\dfrac{49}{12}$

5 0

3 years ago

Suppose a researcher is testing the hypothesis Upper H 0: pequals0.4 versus Upper H 1: pless than0.4 and she finds the P-valu

andre [41]

Answer:

D. If the P-value for a particular test statistic is 0.33, she expects results at least as extreme as the test statistic in exactly 33 of 100 samples if the null hypothesis is true.

D. Since this event is not unusual, she will not reject the null hypothesis.

Step-by-step explanation:

Hello!

You have the following hypothesis:

H₀: ρ = 0.4

H₁: ρ < 0.4

Calculated p-value: 0.33

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

In this case, you have a 33% chance of getting a value as extreme as the statistic value if the null hypothesis is true. In other words, you would expect results as extreme as the calculated statistic in 33 about 100 samples if the null hypothesis is true.

You didn't exactly specify a level of significance for the test, so, I'll use the most common one to make a decision: α: 0.05

Remember:

If p-value ≤ α, then you reject the null hypothesis.

If p-value > α, then you do not reject the null hypothesis.

Since 0.33 > 0.05 then I'll support the null hypothesis.

I hope it helps!

3 0

3 years ago

30 POINTS!!! PLEASE HELP ME

Ludmilka [50]

Remark

All you need is 2 points to get the line of the equation. One is itself (B and B') is the same in both triangles. Now we need to find one more point. Since this is a reflection, the midpoint between C and C' is the second point. That choice of C and C' is completely arbitrary.

Step One

y intercept of the line. That point is B which is (0,1)

Step Two

Find the midpoint between C and C'

C is (-4,-2) and C' is ( 0 , - 4) The midpoint is

C" = (x2 + x1)/2 , (y2 + y1)/2

C" = (-4 + 0 )/2 , (-2 + - 4) / 2

C" = (-4)/2 , - 6/2

C" = (-2, - 3) C" is the midpoint between C and C'

Step 3

Find the equation of the line.

y = ax + b We are trying to find A

y = ax + 1

-3 = a(-2) + 1

-3 - 1 = a(-2)

- 4 = a(-2) Divide by -2

-4/-2 = a

a = 2

The slope of the line is 2

Answer

y = 2x + 1

6 0

3 years ago

What is the solution to the system of equations? Use any method. {y=−3x+1 {2x+5y=18

Softa [21]

Answer:

So the solution set of the equations are {(-1,4)}

the solution is x = -1 and y = 4

Step-by-step explanation:

Equations given to us are

y = -3x + 1 ..................(i)

2x + 5y = 18 .................(ii)

To find the value of x and y or the solution set of the system of equations

Now in first equation we see that

y = -3x + 1

Putting this value in equation (ii)

which is

2x + 5y = 18

Putting value of y from (i) in it

2x + 5(-3x + 1) = 18

Opening the bracket and multiplying inside

2x -15x + 5 = 18

-13 x + 5 = 18

Subtracting 5 from both sides of the equation

-13x + 5 - 5 = 18 -5

-13x = 13

Dividing both sides by -13

$\frac{-13x}{-13}=\frac{13}{-13}$

Cutting out the same values gives us

x = -1

For value of y

putting value of x in equation (i)

which is

y = -3x + 1

Putting the value

y = -3(-1)+1

y=3+1

y=4

So the solution set of the equations are {(-1,4)}

the solution is x = -1 and y = 4

4 0

3 years ago