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3 years ago

What is the value of x makes this equation true? -6x+3=45

Mathematics

2 answers:

Anarel [89]3 years ago

4 0

The answer is x = -7. Step by step explanation is in the image below! :)

Oduvanchick [21]3 years ago

3 0

Answer:

$x=-7$

Step-by-step explanation:

subtract 3 from both sides

$-6x=45-3$

$-6x=42$

divide each term by 6

$\frac{-6x}{-6} =\frac{42}{-6}$

$x=\frac{42}{-6}$

simplify

$x=-7$

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The measure of the supplement of an angle is three times the measure of the

gtnhenbr [62]

<h2>Answer:</h2>

<h3><em>x=45degrees</em></h3>

<h2>Step-by-step explanation:</h2>

Let the angle to be solved be x

Let the supplement/compliment by y

x+y=90 Complimentary angles add up to 90 degrees.

x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

x+y=90 Isolate x:

x=90−y Input into the other equation:

(90−y)+3y=180 Combine like terms, isolate y and its coefficients:

2y=90 Isolate y

y=45 Input into the first equation:

x+45=90 Isolate x:

x=45degrees

5 0

3 years ago

Jacinta borrowed sh. 100,000 from her cooperative society. She pays 1% interest of the outstanding balance every month. If she p

vredina [299]

The amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

<h3>What is interest?</h3>

Interest is the finance charge that a borrowers incurs to service a loan.

Interest is based on the outstanding balance at the end of the payment period.

<h3>Data and Calculations:</h3>

Principal loan = sh. 100,000

Interest on outstanding balance = 1%

Monthly payment of principal and interest = sh. 10,000

Period of repayment = Monthly

<h3>Amortization Schedule:</h3>

Beginning Interest Payment Ending Balance

1st month sh. 100,000 sh. 1,000 sh. 10,000 sh. 91,000

2nd month sh. 91,000 sh. 910 sh. 10,000 sh. 81,910

3rd month sh. 81,910 sh.819 sh. 10,000 sh. 72,729

4th month sh. 72,729 sh. 727 sh. 10,000 sh. 63,456

5th month sh. 63,456 sh. 636 sh. 10,000 sh. 54,092

6th month sh. 54,092 sh. 541 sh. 10,000 sh. 44,633

7th month sh. 44,633 sh. 446 sh. 10,000 sh. 35,079

8th month sh. 35,079 sh. 351 sh. 10,000 sh. 25,430

9th month sh. 25,430 sh. 254 sh. 10,000 sh. 15,684

10th month sh. 15,684 sh. 157 sh. 10,000 sh. 5,841

11th month sh. 5,841 sh. 58 sh. 5,899 sh. 0

Total interest paid = sh. 5,899

Thus, based on the payment schedule above, the amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

Learn more about loan interests at brainly.com/question/24576997

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8 0

2 years ago

Which of the following functions is graphed below.

Valentin [98]

Answer: Option A

$y=\left \{ {{x^2 +2;\ \ x$

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is $y = x ^ 2 +2$

Then we have an equation line $y = -x + 2
$

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is $x< 1$ )

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is $x\geq 1$ )

Then the function is:

$y=\left \{ {{x^2 +2;\ \ x$

7 0

3 years ago

Can someone please help me!!!

Pavlova-9 [17]

Answer: The next step will be 2x - 1 = 9

Step-by-step explanation:

4x -1 = 2x + 9

-2x -2x

2x -1 = 9

+1 +1

2x= 10

x= 5

7 0

3 years ago

Read 2 more answers

Polynomial Functions in context. a. A baseball is struck such that its position on a plane perpendicular to home plate can be de

Brums [2.3K]

The position of the ball when it is at its highest point is 121

<h3>Polynomial function</h3>

Given the polynomial function expressed as y = -1/250(x - 175)^2 + 121,

The velocity of the ball at the maximum point is zero. Hence;

dy/dx = -1/125(x-175)

Equating to zero;

0 = -1/125(x - 175)

x = 175

Substitute into the function to get the maximum height

y = -1/250(175 - 175)^2 + 121,

y = 121

Hence the position of the ball when it is at its highest point is 121

Learn more on polynomial function here: brainly.com/question/2833285

6 0

2 years ago