Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
equation.ñ
y = 2x^2 -x + 6

Answer:

Step-by-step explanation:

1) Reflection over [tex]\overline{BC}[/tex]

2) The triangles are congruent by SAS, so when [tex]\triangle GBC[/tex] is mapped onto [tex]\triangle ABC[/tex], because points [tex]G[/tex] and [tex]A[/tex] are corresponding, [tex]G'[/tex] will correspond with [tex]A[/tex].

3) Yes, because [tex]\overline{BG} \cong \overline{AB}, \overline{GC} \cong \overline{AC}, \angle BAC \cong \angle BGC[/tex], so the triangles are congruent by SAS.

The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.

According to the task content; it is required to identify if the expression is prime.

On this note, it follows that the discriminant of the expression can be evaluated as follows;

= 36 -(4× 5 × -2)

= 76.

Hence, the expression is prime since 76 is not a perfect square.

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hope you can understand

Answer:

10.63

Step-by-step explanation:

To find the Hypotenuse we need to use Pythagorean Thereom. So plugging in the formula the square root of A squared plus B squared you get 10.63

Answer:

Step-by-step explanation:

To solve the triangle means to find ALL unknown elements of Δ ( sides and angles )

JH² = 8² + 7² = 113

JH = √113 ≈ 10.63 m

m∠H = β

[tex]\frac{8}{7}[/tex] = tan β ; β = arctan [tex]\frac{8}{7}[/tex] = [tex]tan^{-1}[/tex] [tex]\frac{8}{7}[/tex] ≈ 48.814°

m∠H ≈ 49 °

m∠J = 90° - 49° = 41 °

this is your answer.

Answer: 68.0389

Answer:

68.04 is the correct answer

I looked it up

Answer:

x + 7 = 15

Step-by-step explanation:

I hope the answer above was correct :)

Answer:

x + 7 = 15

Step-by-step explanation:

7 more is adding 7 to "a number" which is x. The sum is 15 so it shouldnt be that hard to put it all together

Answer:

w = 5

Step-by-step explanation:

24w = (14)10

2w + 4 = 10 + 4

2w = 10

w = 5

Answer:

(3, 0)

Step-by-step explanation:

Given:

Rotation rule for -90°:  (x, y) → (y, -x)

As the center of rotation is not the origin, we cannot simply apply the above rule.

To rotate an image around a point other than the origin:

1.  Subtract each point of the image from the point of rotation:

⇒ Point of rotation - point of image

⇒ (-2, 6) - P = (-2, 6) - (-8, 1)

                    = (6, 5)

2. Rotate this about the origin by applying the rotation rule:

⇒ (x, y) → (y, -x)

⇒ (6, 5) → (5, -6)

Add the point of rotation to each rotated point of the image:

⇒ (5, -6) + (-2, 6) = (3, 0)

Therefore, the location of the image of P (-8, 1) after a counterclockwise rotation of 90° about (-2, 6) is (3, 0).

Step-by-step explanation:

13 pounds of sugar for $6.

for a single pound of sugar we need to divide everything by 13 to keep the same ratio (relationship).

1 pound cost then 6/13 = 0.461538462... ≈ $0.46

Answer:

x = 3.6

Step-by-step explanation:

Answer:

21.25 m/s

Explanation:

AVERAGE SPEED=

= \frac{s1 t1+ s2t2 + s3t3}{t1 + t2 + t3}=

t1+t2+t3

s1t1+s2t2+s3t3

= \frac{20 \times 10 + 30 \times 5 + 15 \times 5}{10 + 5 + 5}=

10+5+5

20×10+30×5+15×5

= \frac{200 + 150 + 75}{20}=

20

200+150+75

= \frac{425}{20}=

20

425

= 21.25 ms=21.25ms

The coordinates of the 4th vertex of the rhombus are (-2,3)

The diagonals are given as:

(-7, -2) and (-1, -4)

The 3rd vertex is given as: (-6,-9)

Calculate the distance between the vertices of the diagonals and the 3rd vertex using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}[/tex]

So, we have:

[tex]d_1 = \sqrt{(-7 + 6)^2 + (-2 + 9)^2} =\sqrt{50[/tex]

[tex]d_2 = \sqrt{(-1 + 6)^2 + (-4 + 9)^2} =\sqrt{50[/tex]

Let the 4th vertex be (x,y)

So, we have:

[tex]d_3 = \sqrt{(-7 - x)^2 + (-2 - y)^2} =\sqrt{50[/tex]

[tex]d_4 = \sqrt{(-1 - x)^2 + (-4 - y)^2} =\sqrt{50[/tex]

Equate d3 and d4

[tex]\sqrt{(-1 - x)^2 + (-4 - y)^2} = \sqrt{(-7 - x)^2 + (-2 - y)^2}[/tex]

Take the square of both sides

[tex](-1 - x)^2 + (-4 - y)^2 = (-7 - x)^2 + (-2 - y)^2[/tex]

Expand

[tex]1 + 2x + x^2 + 16 + 8y + y^2 = 49 + 14x + x^2 + 4 + 4y + y^2[/tex]

Evaluate the like terms

1 + 2x  + 16 + 8y  = 49 + 14x + 4 + 4y

Collect like terms

14x - 2x + 4y - 8y = 1 + 16 - 49 - 4

12x - 4y = -36

Divide through by 4

3x - y = -9

Next, we test the options in the above equation

Point (-8,13) means x = -8 and y = 13

So, we have:

3x - y = -9

3(-8) - 13 = -9

-37 = -9 --- this is false

Point (-2, 3) means x = -2 and y = 3

So, we have:

3x - y = -9

3(-2) - 3 = -9

-9 = -9 --- this is true.

Hence, the coordinates of the 4th vertex are (-2,3)

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Answer:

2ax + b + C

where C is a constant.

Answer:

Hi,

Step-by-step explanation:

I suppose you want an integer solution.

Let's say

a the number of gallons of 35% alcohol

b the number of gallons of 50% alcohol

[tex]\dfrac{35}{100}*a+\dfrac{50}{100}*b=\dfrac{40}{100}*6\\\\35*a+50*b=240\\\\7a+10b=48\\\\b=\dfrac{48-7a}{10}\\\\a=4+10*n\\\\b=\dfrac{48-7*(4+10*n)}{10}=2-7*n\\\\As\ b\ must\ be\ a\ positive\ number \ n=0\\\\so\ b=2\ and\ a= 4[/tex]

Answer

Let x be that number We know x + 5 = 12 ( the number plus five equals to 12)=> x = 5-12 = 7 so, that number is 7.

explanation:

Hope this helps:)

:3

have a good day or a beautiful day:3

Answer:

y₁ - y₂ = (-7/9)(x₁ - x₂)

Step-by-step explanation:

The general structure for an equation in point-slope form is:

y₁ - y₂ = m(x₁ - x₂)

In this form, "m" represents the slope and the "x" and "y" values come from each point. To find "m", plug the values of each point into the equation.

Point 1: (4, -3)                   Point 2: (-5,4)

y₁ - y₂ = m(x₁ - x₂)                                  <---- Original equation

-3 - 4 = m(4 - (-5))                                 <---- Plug values in for "x" and "y"

-7 = m(4 - (-5))                                      <---- Simplify left side

-7 = m(9)                                               <---- Simplify within parentheses

-7/9 = m                                              <---- Divide both sides by 9

I don't exactly understand what "fully simplified point-slope form" means because if all of the variables are plugged in, you wouldn't be left with an equation. It may just be asking for the slope, which in this case would make the equation look like this:

y₁ - y₂ = (-7/9)(x₁ - x₂)  

It may want you to find the equation in slope-intercept form (y = mx + b), and you would have to find "b". Sorry I don't quite understand what exactly you are looking for.

Answer:

20 or 40 or 50

(there are many others)

Step-by-step explanation:

A counterexample is an example that shows the statement is not true. The statement in this question is that if a number is a multiple of 10 (10, 20, 30, 40, 50, 60...) then it is a multiple of 30. Some numbers are, like 60 and 90, but not all numbers. So for example (counterexample) 20 is a multiple of 10 but NOT a multiple of 30.

40 is a multiple of 10, but NOT a multople of 30.

50 is a multiple of 10, but NOT a multiple of 30.

The solution to the given system of inequality is (-12, 6).

These are equations that contains unknown variables.

Given the equations

x + 4y > 12

3y > x + 6

__________

x + 4y > 12

3y - x > 6

Subtract

4y - 3y > 12 - 6

y > 6

Substitute y = 6 into the equation

x + 4y >12

x + 4(6) > 12

x > -12

Hence the solution to the given system of inequality is (-12, 6)

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The table that includes that information correctly when the problem says an object's displacement is 88.8 m is table B.

It should be noted that a displacement simply means the vector quantity that illustrates how far a particular place is.

In this case, the table that includes that information correctly when the problem says an object's displacement is 88.8 m is table B.

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Answer:A  dude if you already know it say it to make it easier for people don't be lazy

Step-by-step explanation:

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

Assuming that conditions have been met for the interval, we use the formula [tex]\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}[/tex] where [tex]\bar{x}[/tex] represents the sample mean, [tex]t[/tex] represents the critical value, [tex]s[/tex] represents the sample standard deviation, and [tex]n[/tex] is the sample size.

The critical value of [tex]t[/tex] for an 80% confidence level with degrees of freedom [tex]df=n-1=25-1=24[/tex] is equivalent to [tex]t=1.317836[/tex]

Thus, we can compute the confidence interval:

[tex]\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}\\\\CI=32.64\pm1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\\\\CI\approx\{30.17,35.11\}[/tex]

Therefore, we are 80% confident that the true mean age of all customers is between 30.17 and 35.11 years.

Part B

The margin of error is [tex]\displaystyle t\frac{s}{\sqrt{n}}=1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\approx2.47[/tex]

The true statement about the functions is (d) the range of g(x) includes more values than the ranges of f(x) and h(x).

The attached image represents the missing part of the question

From the attached image, we have the following properties:

The property 2 above is calculated as follows:

Range of g(x) =|-4 + 19| = 15

Range of f(x) =|1 + 2| = 3

Range of h(x) =|2 + 8| = 10

Hence, the true statement about the functions is (d) the range of g(x) includes more values than the ranges of f(x) and h(x).

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Answer:

The power output is 6 W. The resistance is 6 Ω.

Step-by-step explanation:

Power output= 6V * 1 A= 6W

Resistance= 6V/1A= 6 Ω

Answer:

Hi,

Answer B

Step-by-step explanation:

after 1.484 s the ball hit the ground à 22.019 feet

yes the ball will be at a height of 2.93506334 feet when time is 1.348 s and height is 20 feet

no the max height happens at 11.0 has no thing to do with hitting the grat 2.937 s the ball is at -68.2754 feet

ound

Seniors in the class = total number of students - total number of juniors

30 - 24 = 6

Juniors that went on the field trip = 2/3 x 24 = 16 students

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Answer:

Yes

Step-by-step explanation:

vdhdhdhdhdhshsbsbsbsjshshsjajjssjsusususu

Answer: 0.05

Step-by-step explanation:

Since 95 out of 100 were closed, the closed window is 95% = 0.95.

5 open windows = 5% = 0.05

Answer:

8x

Step-by-step explanation:

(3x+1)+(3x-1), the 1's cross out, so it is 3x+3x=6x. 6x+2x=8x.

Answer:

8x

Step-by-step explanation:

got it right!!!

Answer:

In terms of Pi: [tex]3\pi + 6[/tex] km

Exact value (rounded): 15.42477 km

Approximated (3.14): 15.42 km

Step-by-step explanation:

Hello!

A semicircle's perimeter can be found using the formula: [tex]P = \pi r + 2r[/tex]

We can plug in the values to solve for the perimeter.

In terms of Pi, it is [tex]3\pi + 6[/tex],

Exact value of Pi, it is 15.42477

Approximation of Pi (3.14), it is = 15.42

Answer:

38%

Step-by-step explanation:

Total: 93

Find percentage

Rain: 24

Snow: 11

24 + 11 = 35

Find what percentage of 90 35 is.

35 of 90 can be written as:

35

----

90

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

35           100

----   ×         ----

90            100

= ( 35 * 100/90) * 1/100 = 38.89/100

Therefore, the answer is 38.89%