What is the first step equation=6x – 4x + 3 = 15
A.
Add 4x to both sides of the equation.

B.
Subtract 4x to both sides of the equation.

C.
Combined the variable terms on the left side of the equation.

D.
Combine the constant terms on the right side of the equation.

Answer: One root

Reason:

The term "root" refers to the x intercept.

We plug in y = 0 and solve for x to get the x intercept

y = 2x-12

0 = 2x-12

2x = 12

x = 12/2

x = 6

The root is 6.

The single x intercept is located at (6,0).

40 America-nos

Explanation:

make proportional equation

Answer:

Step-by-step explanation:

Use ratios

Solve for x

Answer:

The ANSWER is 1/2 x (3/5) : (9/15) (-6/4) : (4/1) = -3/16 = -0.1875

Step-by-step explanation:

Multiple: 1/2 * 3/5 = 1 · 3/2 · 5 = 3/10

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 10) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by three fifths is three tenths.

Divide: the result of step No. 1 : 9/15 = 3/10 : 9/15 = 3/10 · 15/9 = 3 · 15/10 · 9 = 45/90 = 45 · 1/45 · 2 = 1/2

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 9/

15 is 15/9) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 45 gives 1/2.

In other words - three tenths divided by nine fifteenths is one half.

the result of step No. 2 * (-6/4) = 1/2* (-6/4) = 1 · (-6)/2 · 4 = -6/8 = -3 · 2/4 · 2= -3/4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-6, 8) = 2. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by minus six quarters is minus three quarters.

Divide: the result of step No. 3 : 4 = -3/

4 : 4 = -3/4 · 1/4 = -3 · 1/4 · 4 = -3/16

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 4/

1 is 1/4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - minus three quarters divided by four is minus three sixteenths.

Answer:

y=1/8x + 15

Step-by-step explanation:

y=1/8x+15 because 1/8 hours and add 15

Answer:

15.5 weeks

Step-by-step explanation:

186/12=15.5

12x15.5=186

Answer:

125

Step-by-step explanation:

5x5x5 =125

I think

Answer:

5x5x5 =125

Step-by-step explanation:

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

1/2(x - 106) = 12 + 7x

Step 2: Solve for x

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Exact Form:

x=−3/7

Decimal Form:

x=−0.¯¯¯¯¯¯¯¯¯¯¯428571

The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

hu

Step-by-step explanation:

j

Here is the correct computation of the question.

The future lifetimes (in months) of two components of a machine have the following joint density function:

\(f(x,y) =\left \{ { {\dfrac{6}{12,500}(50-x-y)} \atop {0}} \right.\)  for 0 < x < 50 - y < 50, otherwise.

Write down a single integral representing the probability that both components are still functioning in 20 months from now.

Answer:

\(\mathbf{ P{(x>20) \cap(Y>20)} } =0.0008}\)

Step-by-step explanation:

From the given information;

\(f(x,y) =\left \{ { {\dfrac{6}{12,500}(50-x-y)} \atop {0}} \right.\)  for 0 < x < 50 - y < 50, otherwise.

We can assert that the probability is the integral of the given density over the part of the range  0 ≤ x ≤ 50 - y ≤ 50 in which  both x and y are greater than 20.

From the attached file below; their shows a probability density graph illustrating the above statement being said.

Now; to determine the probability that illustrates the integral of the density ; we have : P[(X > 20)∩(Y > 20)]

In addition to that:

From the image attached below;

We look into the region where the joint density under study is said to be positive and the triangle limits by the line axis x+y = 50

∴

\(P{(x>20) \cap(Y>20)} } = \dfrac{6}{125000}\int\limits^{30}_{20}\int\limits^{50-x}_{20}(50-x-y)dydx\)

\(P{(x>20) \cap(Y>20)} } = \dfrac{6}{125000}\int\limits^{30}_{20} \dfrac{1}{2}(x-30^2)dx\)

\(P{(x>20) \cap(Y>20)} } = \dfrac{6}{125000} ( \, \dfrac {500}{3})\)

\(P{(x>20) \cap(Y>20)} } = \dfrac{6*500}{125000*3}\)

\(P{(x>20) \cap(Y>20)} } = \dfrac{3000}{375000}\)

\(\mathbf{ P{(x>20) \cap(Y>20)} } =0.0008}\)

Thus; the  single integral representing the probability that both components are still functioning in 20 months from now is \(\mathbf{ P{(x>20) \cap(Y>20)} } =0.0008}\)

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

Let the number be x:

then

\((5+x)/(7+x)=3/5\\5(5+x)=3(7+x)\\25+5x=21+3x\\5x-3x=21-25\\2x=-4\\x=-2\)

Answer:

5 cookies per friend

Step-by-step explanation:

15 divided by 3 is 5. So each friend should get 5 cookies.

Answer:

Each friend should get 5 cookies each.

Step-by-step explanation:

15 divided by 3= 5

Using confidence interval concepts, it is found that:

a. The 95% confidence interval is (1080, 1166).

b. The margin of error would be greater than 43.

Item a:

The interval is the sample mean plus/minus the margin of error, hence:

\(1123 - 43 = 1080\)

\(1123 + 43 = 1166\)

The 95% confidence interval is (1080, 1166).

Item b:

Hence: The margin of error would be greater than 43.

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The value of m<RQS as required to be determined in the task content is; 70°.

It follows from the task content that the measure of angle RQS is to be determined as required.

Recall, the measure of the central angle subtended by an arc is twice that which it subtends at any point on the circumference.

Therefore, m<RPS = 2 • m<RQS.

m<RQS = 140°/2

m<RQS = 70°.

Ultimately, the measure of angle RQS are; 70°.

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The cost of the car is 500000 and by selling it with an 8% gain he earned 40000.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A car dealer gained 40,000 on a sale which is 8% profit.

Assuming the cost of the car to be x.

∴ (108/100)x - x = 40000.

1.08x - x = 40000.

0.08x = 40000.

x = 40000/0.08.

x = 500000

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Answer:

The answer is: 4y(2x+y)

Step-by-step explanation:

Weight of Omar after 4 weeks is 9.4375 pounds.

The same attribute is expressed using a unit conversion, but in a different unit of measurement.

For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

Weight of Omar at the time of birth = 8 pound 3 ounces

Weight gained by Omar in 4 weeks = 5 × 4 = 20 ounces

New weight of Omar

= (8 lb 3 ounces) + 20 ounces

= 8 lb + 23 oz

As, we know 16 ounces = 1 pound

23 ounces = 1.4375 pound

Now, total weight of Omar after 4 weeks = 8 lb + 23 oz

                                                                  ≈ 8 lb + (1.4375) lb

                                                                   ≈ 9.4375 pounds

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The original price of this car is equal to $6,600.

In Mathematics, a percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

Assuming the original price is represented by the variable x, we have the following:

12.5/100 × x = x - 5,775

0.125x = x - 5,775

5,775 = (x - 0.125x)

5,775 = 0.875x

x = 5,775/0.875

x = $6,600.

In conclusion, we can logically deduce that the percentage Pat Bain paid is 87.5%.

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Answer:

A. 1.9

B. 3.5

C. 4.2

D. 4.9

I'M KINDA SURE

Step-by-step explanation:

Those images aren't good enough, I can't really get a good look. Basically, if there are nine little lines between each whole number, then each little line represents a tenth of a whole number, or 0.1. If there are four little lines between each whole number, then each little lines is 0.2. So, you just count up from the whole number below the value. For A, start at 1.0 and count up, each little line is 0.1 (if there are nine lines between each whole number), and figure out where A lies. Hope it helped, wish I could give a definite answer.

Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

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Answer:

volume of cylinder: 55.4 cm³

Step-by-step explanation:

volume of cylinder is π * radius² * height

here given radius is 1.4 cm and height is 8 cm

using the formula:

π  * 1.4² * 9

55.42 cm³

55.4 cm³ ...if rounded to nearest tenth.

Answer:

the 4 in the tens place is ten times the value of the 4 in the ones place

Step-by-step explanation:

please give brainliest

Answer:

Step 1: Identify the Problem. ...

Step 2: Analyze the Problem. ...

Step 3: Describe the Problem. ...

Step 4: Look for Root Causes. ...

Step 5: Develop Alternate Solutions. ...

Step 6: Implement the Solution. ...

Step 7: Measure the Results.

Emerson actually hit the ball 32% of times at bat.

What is percentage ?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Since in Game 1, Emerson struck out 30 times in 90 times at bat;

in Game 2, he struck out 40 times in 120 times at bat;

in Game 3, Emerson struck out 42 times in 140 times at bat;

To determine what percentage of times at bat did Emerson actually hit the ball, the following calculation must be performed:

(30 + 40 + 42) / (90 + 120 + 140) = X

112/350 = X

0.32 = X

Therefore, Emerson actually hit the ball 32% of times at bat.

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Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.