Solve for x: 3x^2+13x=10

Answer:

a) Yes, each element in the range has only one domain value.

Step-by-step explanation:

To be a function a relation between two sets must follow at least one basic condition.

* All elements of the Domain must have its counterpart into the Range.

The question asks if an inverse function of this given one is still a function. Let's check it below.

That's why it's

a) Yes, each element in the range has only one domain value.

Hello!

Sofia measures the length of her car as 16 feet.

What is the greatest possible error?

____ feet

What is the margin of error?

_____ to ______ feet

Answers:

A. 0.5 feet

B. 15.5 to 16.5

Sofia measures the length of her car as 16 feet So she measures the car to the nearest foot.

The rounding error can be +/- 0.5 feet

The greatest possible error is 0.5 feet

The margin of error is 15.5 to 16.5 feet

We have the equations:

x + 3 = 15 and 3y - 1 = 2x - 4

x + 3 = 15    |-3

x = 12

Put the value of x to the second equation:

3y - 1 = 2(12) - 4

3y - 1 = 24 - 4

3y - 1 = 20     |+1

3y = 21    |:3

y = 7

[tex]\dfrac{7}{12}x-\dfrac{1}{3}=\dfrac{1}{2}+\dfrac{3}{8}\\\\LCM(12,\ 3,\ 2,\ 8)=24\\\\\text{multiply both sides by 24}\\\\24\cdot\dfrac{7}{12}x-12\cdot\dfrac{1}{3}=12\cdot\dfrac{1}{2}+24\cdot\dfrac{3}{8}\\\\2\cdot7x-8=12+3\cdot3\\\\14x-8=12+9\\\\14x-8=21\qquad|\text{add 8 to both sides}\\\\14x=29\qquad|\text{divide both sides by 14}\\\\x=\dfrac{29}{14}[/tex]

To solve the equation, convert all fractions to have the same denominator. Then simplify the equation, and finally divide the obtained number by the coefficient of x to get the value of x.

To solve the equation 7/12x-1/3=1/2+3/8, we first need to simplify both sides of the equation by converting all the fractions to have the same denominator, which, in this case, is 24.

So we obtain the equation:(14/24)x-8/24=12/24+9/24. After simplifying this equation, we get: (14/24)x = 29/24. Diving 29/24 by 14/24 will give us the value of x.

This process is very similar to the one used for solving linear equations, you must combine like terms and isolate the variable on one side of the equation to find the solution.

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4 is the max number of toothpicks you can make

4* 3 1/5= 12 4/5

5* 3 1/5=16 that's too many

1 pound = 16 ounces.

Divide by the cost by the number of ounces:

$12 / 16 ounces = 0.75 per ounce.

The cost per ounce is $0.75  (75 cents per ounce)

Answer:

A. [tex]x=\frac{11}{c}[/tex]

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following equation given above:

[tex]cx-4=7[/tex]

2. The negative four will pass as a positive four to the rigth member.

3. Te sum of 7 and 4 will be divided by [tex]c[/tex], as following:

[tex]cx=7+4\\cx=11\\x=\frac{11}{c}[/tex]

Answer:

I think that the answer is A. x=11/c

Step-by-step explanation:

C) If you are a girl in this group, you are more likely to attend a 4-year college than a 2-year college..

The girls who are likely to attend 2-year college are 39.76% and who are likely to attend a 4-year college are 60.24%. That is option C is correct.

It is a process of making an important decision.

Given

During a particular year, 77 graduating boys chose to attend a 4-year college, while 34 boys attended a 2-year college.

83 girls chose a 4-year college, and 33 attended a 2-year college.

The boys who are likely to attend 2-year college are 44.16% and who are likely to attend a 4-year college are 55.84%.

Similarly,

The girls who are likely to attend 2-year college are 39.76% and who are likely to attend a 4-year college are 60.24%.

Then, option C is correct.

More about the conclusion link is given below.

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The numbers 1.703, 1.037, 1.37, 1.073 ordered from least to greatest are 1.037, 1.073, 1.37, 1.703. This is done by comparing digits from the thousandths place and onwards.

To arrange the numbers 1.703, 1.037, 1.37, 1.073 in order from least to greatest, we should first compare them to the thousandth place. If the thousandths are equal, we then move to the hundredths place, and so on until the numbers can be distinguished. Let's apply this to your example:

This means the order from least to greatest is 1.037, 1.073, 1.37, 1.703.

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endpoints of an interval

To solve this problem you must apply the proccedure shown below:

1- Solve the substraction in the parenthesis and square it:

[tex]\frac{1}{3}+6(\frac{1}{2})^2\\\frac{1}{3}+6(\frac{1}{4})[/tex]

 2- Apply the distributive property and solve the addition:

[tex]\frac{1}{3}+\frac{6}{4}\=\frac{11}{6}[/tex]

The answer is: [tex]\frac{11}{6}[/tex]

[tex]\frac{1}{3} +6(\frac{2}{3} - \frac{1}{6})^2[/tex]

first we simplify the parenthesis

To simplify the fractions inside the parenthesis , we make the denominators same

[tex]\frac{1}{3} +6(\frac{2*2}{3*2} - \frac{1}{6})^2[/tex]

[tex]\frac{1}{3} +6(\frac{4}{6} - \frac{1}{6})^2[/tex]

[tex]\frac{1}{3} +6(\frac{3}{6})^2[/tex]

Simplify the fraction 3/6

[tex]\frac{1}{3} +6(\frac{1}{2})^2[/tex]

Now we square 1/2

[tex]\frac{1}{3} +6(\frac{1}{4})[/tex]

Multiply 6 inside the parenthesis

[tex]\frac{1}{3} +\frac{6}{4}[/tex]

[tex]\frac{1}{3} +\frac{3}{2}[/tex]

Now make the denominators same to add fractions

[tex]\frac{1*2}{3*2} +\frac{3*3}{2*3}[/tex]

[tex]\frac{2}{6} +\frac{9}{6}[/tex]

[tex]\frac{11}{6}[/tex]

For the x intercept, also known as the zero, we set y=0 and solve for x.

-4x = 20

x = 20/(-4)

x = -5

The x axis is the line y=0 so the y coordinate of an x intercept is always 0.

Answer: (-5, 0)

To find the x-intercept of any equation, set y=0 and solve for x. For the given equation −4x+5y=20, setting y=0 results in the x coordinate -5, making the x-intercept of the line (-5,0).

The x-intercept of any equation is the point where the line crosses the x-axis. At this point, the y-value is always zero because it lies on the x-axis. In the case of the equation −4x+5y=20, we can find the x-intercept by setting y=0 and solving for x.

So, substituting y=0 into the equation, we find:
-4x + 5(0) = 20
Simplifying, this becomes -4x = 20. Dividing both sides by -4, we get x = -5.

So, the x-intercept of the line represented by the equation -4x +5y = 20 is (-5,0).

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Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of [tex]y = x ^ 2[/tex] into [tex]y = -2(x - 2) ^ 2 + 2[/tex] the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let [tex]y = f (x-2)[/tex] then [tex]y =(x-2) ^ 2[/tex] Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do [tex]y = -f(x)[/tex] Then [tex]f (x) = -(x-2) ^ 2[/tex]

3) Stretch according to factor 2.

For this we do [tex]y = 2f(x)[/tex]

Then we have [tex]f(x) = -2 (x-2) ^ 2[/tex]

4) Move up the graph in two units:

We do [tex]y = f(x) +2[/tex]

Then [tex]y = -2(x-2) ^ 2 +2.[/tex]

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

To transform the graph from y • x^2 to y = -2(x - 2)^2 + 2, you need to translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units.

The correct steps to transform the graph of y•x^2 to y = -2(x - 2)^2 + 2 are:

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Using the order of operations, none of the provided expressions match with the given definitions (18, 44, 75, 13). It seems there's a mistake in the definitions.

This question requires you to use the order of operations, sometimes remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

It appears there may be a mistake in the definitions, as none of the terms match with their respective definitions.

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The answer is choice D.

First, find the slope (m) using the formula: [tex]m=\frac{y_{2}- y_{1} }{x_{2} - x_{1} }[/tex]

[tex]m=\frac{11 - 6}{-1 - 0}[/tex] = [tex]m=\frac{5}{-1}[/tex] = -5

Next, plug in the slope (m) and ONE point (x₁, y₁) into the Point-Slope equation:

y - y₁ = m(x - x₁)

y - 6 = -5(x - 0)

y - 6 = -5x

   y = -5x + 6

Answer: D

The cross-section of a sphere, cut by a plane, is always a circle, and the radius of this circle would be the same as the sphere, which is 6 inches.

Given the description of the scenario in the question, the cross-sectional shape of the sphere formed after a plane cuts it is a circle. A spacer is always a circle when cut by a plane, no matter what direction the cut is made. If we think of the sphere as Earth, no matter where you slice it, you’ll get a circle. The diameter of this new circle would be identical to the diameter of the sphere, and hence, it’s got a radius of 6 inches.

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It will take 35 minutes to peel 14 potatoes

Hope this helps :)

Answer:

It will take 35 minutes to peel 14 potatoes

Step-by-step explanation: Brainly?

Answer:

Option C is right answer.

Step-by-step explanation:

Given two equations as

2y + 4x = 18

2y – 3x = 4

We have to use substitution method.

From first equation find the value of y.

2y = 18-4x

Or y = 9-2x

Substitute this in II equation.

2(9-2x)-3x =4

18-4x-3x =4

-7x = 4-18 = -14

Divide by -7

x =2

Since y = 9-2x, substitute x=2 to get y

y = 9-2(2) = 5

Answer is (2,5)

To verify:

Substitute (2,5) in the given two equations to check.

2(5)+4(2) = 18 is right

2(5)-3(2) = 4 is also right.

Hence solution is (2,5)

Answer:

C. (2,5)

Step-by-step explanation:

3x = 27 is your answer

The addition of equality states that "if you add on one side, you must add the same number to the other side."

This is true, for you add 1 to each side (doing the opposite of PEMDAS to isolate the x)

C is your answer

Hope this helps

Answer:

Option C is correct

(6, 5)  ordered pair comes from the table

Step-by-step explanation:

For this, we must indicate which of the ordered pairs shown belongs to the given table.

x y

3 4

4 4

5 2

6 5

The ordered pair is in the form of (x, y).

Option A:

(x, y) = (4, 3)

This pair is not found in the given table.

Option B:

(x, y) = (5, 6)

This pair is not found in the given table.

Option C

(x, y) = (6, 5)

This pair is  found in the last row of the given table.

Option D:

(x, y) = (2, 5)

This pair is not found in the given table.

Therefore,  (6, 5)  ordered pair comes from the table

With assumptions about it being a *right* triangle and a and b being the legs, the answer is:  

B) 35.5°

Answer:

The answer is A 250/yr

Step-by-step explanation:

The answer is 15 cause you start at 15 and go from there

15 is the correct answer to the fill-in-the-blanks in this problem.

$22.20

multiply the amount of candles bought by the cost of each candle

= 60 × $0.37 = $22.20

Do do this, you use the distance formula: time * speed = distance

So you do, 4.9 * 15.5 = 75.95

So, the rover will travel 75.95 centimeters in 15.5 seconds at a speed of 4.9 cm./s

The correct answer would be 75.95 centimeters

answer : 5

For example

The quadratic equation has 1 tuning point. The degree of quadratic polynomial is 2

Cubic polynomial can have 2 turning points. The degree of cubic polynomial is 3

From this we conclude that if a polynomial has 'n' turning points, then the least possible degree is n+1

the graph of a polynomial has 4  turning points, so the least possible degree is

4+1 = 5

5 is the least possible degree of this polynomial

The least possible degree of a polynomial that has four turning points is 5.

In mathematics, specifically in polynomial function, the degree of a polynomial can be linked to its turning points. The turning point of a function is the high point (peak) or low point (trough) of a graph. The degree of the polynomial is one more than the maximum number of turning points. So, if a graph of a polynomial has 4 turning points, the least possible degree of that polynomial would be 5. Therefore, the correct answer is (c) 5.

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According to the table given:

Total number of students are = 20

Total number of boys are = 13 , out of which, 3 will be clowns, 2 will perform acrobats and 8 will be elephant trainers.

So, we have to find the the probability that the person(a boy) is a clown. The probability will be = [tex]\frac{3}{13}=0.230[/tex]

Hence, answer is 0.230

The probability the person is a clown, given they are a boy is:

                            0.23077

Let A denote the event that the person is a boy.

Let B denote the event that the person is a clown.

Then  A∩B denote the event that the person is a boy and is a clown.

Let P denote the probability of an event.

Hence, from the table that is given to us we get:

  P(A)=0.65

  P(A∩B)=0.15

We are asked to find the  probability the person is a clown, given they are a boy i.e. we are asked to find: P(B|A)

We know that:

    [tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}[/tex]

Hence, from the given values we have:

     [tex]P(B|A)=\dfrac{0.15}{0.65}\\\\\\P(B|A)=\dfrac{15}{65}\\\\\\P(B|A)=\dfrac{3}{13}=0.23077[/tex]

         Hence, the probability is:

                  0.23077

The fraction is 7/8  is really close to 1, so you could estimate that the water level

changes by approximately -5 inches per month. The total change in the water

level at the end of the 3 month period would be approximately -15 inches.

Answer:

If the water level at the lake is decreased by the rate r each month, then the total change in water level at the end of the 3 month period is -3r.

Step-by-step explanation:

It is given that the water level at the lake continued to change at the same rate for 3 months in a row.

Let the water level at the lake is decreased by the rate r each month.

Change in the water level for 1 month period = -r units

Change in the water level for 2 month period = -2r units

Change in the water level for 3 month period = -3r units

So, we conclude that if the water level at the lake is decreased by the rate r each month, then the total change in water level at the end of the 3 month period is -3r.

[tex]\frac{450 (yards)}{5 (minutes)} = \frac{90 (yards)}{1 (minute)}[/tex] = 90 yards per minute

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.

b)   Price he paying for each load =  0.256 $

Explanation:

 Total scoop contained in detergent box = 195 scoops.

 Scoops used by each load of laundry = [tex]2\frac{1}{2} =\frac{2*2+1}{2} =\frac{5}{2}[/tex] scoops = 2.5 scoops

 Number of laundry he can do with this box = 195/2.5 = 78 laundries.

 Price of detergent box = 19.99 $

 Price he paying for each load = Total price/ Number of loads

                                                   = 19.99/78

                                                   = 0.256 $