twice a number is equal to fourteen

Answer:

Well if we were to graph this quadratic equation. We would be looking for places on that graph where Y is equal to zero. Well those are places where the graph crosses the x axis.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You graph a quadratic the way you graph any equation.

The solution is generally where the graph crosses the x-axis, depending on what you're graphing.

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We assume you want to graph an equation of the form ...

  y = ax^2 +bx +c

Often, we are interested in the values of x that make y = 0. Sometimes, we want other solutions, for example, the one(s) that make y = 194. That is why I say "depending on what you're graphing" in the text above.

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For a quadratic, it is helpful to start at the line of symmetry. The line of symmetry for this equation is the vertical line at ...

  x = -b/(2a)

The graph will be symmetrical about this line. Points on either side of this line will be the same distance from it.

So, once you find the x-value for this line of symmetry, you evaluate the quadratic for that value of x. The resulting y-value will be the y-value of the vertex, the most extreme point on the curve. If a>0, it will be the lowest point on the curve. The curve will open upward from there. If a < 0, it will be the highest point on the curve, which will open downward.

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Another point you can plot is the y-intercept. The value of that is 'c' in the above equation, so (0, c) is a point on the curve. Of course, another point on the curve is found where this one is reflected across the line of symmetry.

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Personally, I usually find it convenient to choose values of x that differ from the line of symmetry by 1, 2, 3, or some other small integer value. You will find for these values of x, the corresponding y-values differ from the vertex by a, 4a, 9a. Of course, for some quadratics, it is appropriate to choose a different set of points than these.

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Worked-out Example

Consider ...

  y = 2x^2 -x -6

The values of a, b, c are: a=2, b=-1, c=-6.

One point you can graph right away is the y-intercept: (0, -6).

The line of symmetry is ...

  x = -b/(2a) = -(-1)/(2(2)) = 1/4

The corresponding value of y is ...

  y = 2(1/4)^2 -1(1/4) -6 = 2/16 -1/4 -6 = -(6 1/8)

So, the vertex of this graph is (1/4, -6 1/8).

As we noted above, we can add points at ±1, ±2, ±3 from the vertex fairly easily.

For x = 1/4 ±1, y will be -6 1/8 +2(1^2) = -4 1/8. So, two more points are ...

  (1 1/4, -4 1/8) and (-3/4, -4 1/8)

For x = 1/4 ±2, y will be -6 1/8 +2(2^2) = 1 7/8. So, two more points are ...

  (2 1/4, 1 7/8) and (-1 3/4, 1 7/8)

You will notice that the graph crosses the x-axis between -3/4 and -1 3/4, and also between 1 1/4 and 2 1/4. You might reasonably guess that values of x of 2 or -1 1/2 would give y-values of zero. You would be right.

For x=2, we have ...

  y = 2(2^2) -(2) -6 = 8 -2 -6 = 0

For x = -1.5, we have ...

  y = 2(-1.5)^2 -(-1.5) -6 = 2(2.25) +1.5 -6 = 4.5 +1.5 -6 = 0

So, the solutions are also points on the graph:

  (2, 0) and (-1.5, 0)

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Additional comment

Graphing calculator apps are available for smartphones, tablets, and desktop computers. I personally like to use one of those for making graphs of equations. One that is reasonably easy to learn is shown in the attachment. Desmos provides this one.

The attachment shows part of the table we computed, and a plot of those points and the curve through them. The x-intercepts are also shown.

Answer:29 degrees

151 degrees

Step-by-step explanation:

This are the right steps

Step 1: first you divide the both size by 7 because there is 7 a's

7a/7 = 28/7

Step 2: You solve the equation

7a/7= a. 28/7 = 4

So, the answer is a = 4

not 7 = 4

Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.

To solve linear equations in one variable, we isolate the variable to one side of the equation and simplify the other side to get the solution for the equation.

In the process of isolation, the operations performed on one side of the equation have to be performed on the other side too.

In the question, we are informed that Carly tried to solve an equation step by step. 7a=28 Step 1: 7a/a = 28/7 Step 2: 7 = 4.

We are asked to find the mistake that Carly did in solving the equation.

We first try to solve the equation: 7a = 28.

Step 1: 7a/7 = 28/7 {Dividing both sides by 7}

Step 2: a = 4 {Simplifying}.

Thus, we can see that Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.

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Answer:

x=2(m+n+1)

Step-by-step explanation:

I am assuming you mean: (X-2)/2 =m+n

X-2 =2(m+n)

X =2m+2n+2

x=2(m+n+1)

Answer:

The perimeter is quadrilateral Q is 3 times the perimeter of quadrilateral P.

Step-by-step explanation:

Using a scale factor of 3, every dilated side is 3 times longer then the original side. Then, the perimeter is also 3 times greater.

The perimeter is quadrilateral Q is 3 times the perimeter of quadrilateral P.

The perimeter of a shape is the sum of its side lengths. The perimeter of quadrilateral Q is 186 units

The sides of quadrilateral P (see attachment) are:

[tex]Sides = \{7, 15, 15, 25\}[/tex]

So, the perimeter of P is:

[tex]P_p = 7 + 15 + 15 + 25[/tex]

[tex]P_p = 62[/tex]

Given that:

[tex]k = 3[/tex] --- the scale factor from P to Q

This means that the sides of Q are 3 times the sides of P. So, the perimeter of Q will also be 3 times the perimeter of P

So, we have:

[tex]P_Q = P_p \times k[/tex]

This gives

[tex]P_Q = 62 \times 3[/tex]

[tex]P_Q = 186[/tex]

Hence, the perimeter of Q is 186 units

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Answer:

10 million is the value of 8

ten millions is the number value of 8

281,470,100

hope that helps !

Answer:

Step-by-step explanation:

10^7 = 10,000,000

Answer:

1

Step-by-step explanation:

the standard form of 107 is 107, which has 1 zero.

i think thats right

The probability that the two selected students for  both men,1 men and 1 Women, Both are women , Both are women and The same gender are 7/15,7/15 ,1/15 and 8/15 respectively.

It is required to find the probability.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0(impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

There are 7 men and 3 women on a coed volleyball team.

We have to find the probability.

According to given question we have

Possibilities are

both men= 7c2=[tex]\frac{7!}{2!5!} =21[/tex]

1 men and 1 Women=7c1*3c1

                            =[tex]\frac{7!}{6!1!} *\frac{3!}{2!1!} =21[/tex]

Both are women=3c2=

[tex]\frac{3!}{2!1!} =3[/tex]

The same gender=7c2+3c2

                              =21+3=24

Total possibilities =10c2

                              =45

The probabilities are

A) both men=21/45=7/15

B)1 men and 1 Women=21/45=7/15

C) Both are women==3/45=1/15

D)The same gender=24/45=8/15

Therefore, the probability that the two selected students for  both men,1 men and 1 Women, Both are women , Both are women and The same gender are 7/15,7/15 ,1/15 and 8/15 respectively.

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Answer:

Step-by-step explanation:

y - 3 = -2x -8

y = -2x - 5

Answer:

10.5−(−6.1)

*ZoneZFaze UwU on YT*

This triangle is isosceles. The bottom 2 angles are the same.

180= 54+2y

126=2y

y=63

Answer:follow key h!gh on tik tok

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

First add like terms: 5x+90=360

Then subtract 90 from both sides: 5x=270

Then divide both sides by 5: x=54

Answer:

below

Step-by-step explanation:

[tex](7 - b) + (3b + 2) \\7 - b + 3b + 2 \\7 +2 -b + 3b \\9 + 2b[/tex]

Steps to solve:

(7 - b) + (3b + 2)

~Remove parenthesis

7 - b + 3b + 2

~Combine like terms

2b + 9

Best of Luck!

Answer:

the consumer price index is a measure of the average change over time in the prices paid by the consumers for a market basket of consumer goods and services.

the answer is -72

i checked on a calculator

Answer:

B

Step-by-step explanation:

Rise over run

Answer:

Dana needs 72 feet of ribbon to make all the bows

Step-by-step explanation:

If she needs to make all the bows, she needs a total of:

18 times 4 feet = 18 * 4 = 72 feet of ribbon

Answer:

Hey there!

If someone travels 5/8 mile in 1/4 hour, then in 1 hour, they can travel 20/8, or 5/2 miles.

The unit rate is: 5/2 mile per hour.

Hope this helps :)

Answer: 5/2 = m

Step-by-step explanation:

hope this helpsss brainleist if wanna

Answer:

14/9

Step-by-step explanation:

The expirmental probability us 28/50

Theoretically the probability is 25/50 because that would be half :)

The relative frequency of getting a tail on the next toss will be 0.40.

Relative frequency is the ratio of the considered subgroup's count to the whole count.

A coin is tossed 50 times, and it lands on tails 20 times.

Then the relative frequency of getting a tail on the next toss will be

The probability of getting tail is 1/2.

Then the relative frequency will be

⇒ 20/50

⇒ 0.40

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Answer:

x = 3/8

Step-by-step explanation:

Answer:

Volume=a3 or a*a*a

Volume=24*36*18

Volume=15552inch^3

For surface are formula is

A = 2wl + 2lh + 2hw

Answer:

Non-response bias

Step-by-step explanation:

Selection bias in a survey occurs when individuals are selected in a disproportionate way such that the samples obtained do not represent the true population to be studied or interviewed. An example of a selection bias that can occur from Random-digit dialing is the non-response bias.

Participants who are to be selected for surveys must be eligible or suitable for the purpose of the experiment. If the survey is trying to measure the effect of stress on parents, there is a possibility that through random-digit dialing, homes might be called at times when parents are on a work trip. This inability to get the response of eligible subjects for the survey is a form of selection bias.  

Answer: x=1+1/3

Step-by-step explanation: -(3x-12)=9x-4

We move all terms to the left:

-(3x-12)-(9x-4)=0

We get rid of parentheses

-3x-9x+12+4=0

We add all the numbers together, and all the variables

-12x+16=0

We move all terms containing x to the left, all other terms to the right

-12x=-16

x=-16/-12

x=1+1/3

Answer:

[tex]y\geq 14[/tex]

y greater than or equal to 14

Step-by-step explanation:

Given the inequality:

[tex]y-27\geq -13[/tex]

We solve it by isolating the variable y on one side. That is, in our case we add 27 to both sides and get:

[tex]y-27\geq -13\\y\geq 27-13\\y\geq 14[/tex]

Answer:

c

Step-by-step explanation:

edge told me good luck.

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

36 houses  = (x) houses

  30 min            7.5 min.

cross multiply:

30x = 36 (7.5)

x = 270 / 30

x = 9