Use the tables to answer the question.
How can you determine which store offers a better price on guitar lessons?
A. You cannot determine this from the information given.
B. Compare the most expensive price from each store’s table.
C. Compare the least expensive price from each store’s table.
D. Find the cost of 1 week of guitar lessons for each store and compare.

Answer:

[tex]x-4=0\: and\: x-2=0[/tex]

Step-by-step explanation:

[tex]x^{2} -6x+8-0[/tex]

[tex]x^{2} -4x-2x+8-0[/tex]

[tex]x(x-4)-2(x-4)=0[/tex]

[tex](x-4)(x-2)=0[/tex]

[tex]x-4=0[/tex] and [tex]x-2=0[/tex]

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The valid conclusions for the quadratic equation x² - 6x + 8 = 0 are:

x - 4 = 0 and x - 2 = 0

Option D is the correct answer.

We have,

Quadratic equation x² - 6x + 8 = 0.

Now,

To solve the quadratic equation x² - 6x + 8 = 0, we can use the quadratic formula, which states that:

x = (-b ± √(b² - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation.

In this case,

a = 1, b = -6, and c = 8.

Substituting these values into the quadratic formula, we get:

x = (-(-6) ± √((-6)² - 4(1)(8))) / (2(1))

x = (6 ± √(36 - 32)) / 2

x = (6 ± √(4)) / 2

x = (6 + 2) / 2 or x = (6 - 2) / 2

x = 4 or x = 2

Therefore,

The valid conclusions for the quadratic equation x² - 6x + 8 = 0 are:

x - 4 = 0 and x - 2 = 0

because the roots of the equation are x = 4 and x = 2,

which can be written in factored form as (x - 4)(x - 2) = 0.

Learn more about quadratic equations here:

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Answer:

5/8

Step-by-step explanation:

Add the two fractions

3/8 + 1/4

Get a common denominator

3/8 + 1/4 *2/2

3/8 + 2/8

5/8

Answer:

3 girls and 4 boys

Step-by-step explanation:

Writing the number of girls in the family as g and the number of boys in the family as b,

we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as

b = 2(g-1)

Next,

we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as

b-1 = g

Therefore, we have

b = 2(g-1)

b-1 = g

Plugging b-1 = g into the first equation, we get

b = 2 (g-1)

2(g-1) = 2((b-1) - 1) = b

= 2(b-1-1)

= 2(b-2)

= 2b-4

b = 2b-4

subtract 2b from both sides to make it so that only b values and their coefficients are on one side

-b = -4

multiply both sides by -1 to solve for b

b=4

Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.

Answer: the radians should be 125

Step-by-step explanation:

Answer:

r = 7 cm

Step-by-step explanation:

The radius is 1/2 of the diameter

r = d/2

r =14/2

r = 7 cm

Answer:

No, the sale price wasn't consistent with the ad

Step-by-step explanation:

The original selling price is 109. 9% of 109 is 9.81. So the sale price should be 99.19.

9514 1404 393

Answer:

  61.5°

Step-by-step explanation:

The tangent relation is useful here. The angle is opposite the vertical side and adjacent to the horizontal side of the right triangle.

  Tan = Opposite/Adjacent

  tan(α) = 35/19

  α = arctan(35/19) ≈ 61.5°

The angle made by v and the positive x-axis is 61.5°.

Answer:

-1

Step-by-step explanation:

let,x=-1

f(x)= 12/4x + 2

f(-1)= 12/4x(-1) + 2

=12/(-4) +2

= -3+2

= -1

[tex]The \: text \: tells \: us \: that \: we \: can \\ predict \: her \: height \: by \: taking \\ her \: age \: in \: months, \: adding \: 75, \\ and \: multiplying \: by  \: \frac{1}{3} . \: So \: our \\ equation \: is [/tex]

[tex]h = (m + 75). \frac{1}{3} [/tex]

(or)

[tex]h = \frac{1}{3} (m + 75)[/tex]

b) Determine her predicted height on her second birthday

To predict Asia’s height on her second birthday, we substitute m=24

into our equation (because 2 years is 24 months) and solve for h.

[tex]h = \frac{1}{3} (24 + 75)[/tex]

[tex]h = \frac{1}{3} (99)[/tex]

[tex]h = 33[/tex]

Asia’s height on her second birthday was predicted to be 33 inches.

Answer:

Step-by-step explanation:

a) 5 cm(25000)(1 m/100 cm)(1 km/1000 m) = 1.25 km

b) 2.2 km (1000 m/km)(100 cm/m) / 25000 = 8.8 cm

Q(x)=x^2+3x+2

[tex]\\ \sf\longmapsto Q(-4)[/tex]

[tex]\\ \sf\longmapsto (-4)^2+3(-4)+2[/tex]

[tex]\\ \sf\longmapsto 16+(-12)+2[/tex]

[tex]\\ \sf\longmapsto 16-12+2[/tex]

[tex]\\ \sf\longmapsto 4+2[/tex]

[tex]\\ \sf\longmapsto 6[/tex]

The value of the function at x = - 4 will be 6. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The function is given below.

Q(x) = x² + 3x + 2

The value of the function at x = - 4, then we have

Q(-4) = (-4)² + 3(-4) + 2

Simplify the equation, then we have

Q(-4) = (-4)² + 3(-4) + 2

Q(-4) = 16 - 12 + 2

Q(-4) = 18 - 12

Q(-4) = 6

The value of the function at x = - 4 will be 6. Then the correct option is D.

More about the function link is given below.

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Answer:

200 kilometers and 150 kilometers

Answer:

27

Step-by-step explanation:

9514 1404 393

Answer:

  (a)

Step-by-step explanation:

Add A to both sides of the equation:

  X -A +A = B +A

  X = B + A

The sum of the two matrices is the matrix that is the sum of corresponding terms.

  x11 = B11 +A11 = -9+2 = 7

  x12= B12 +A12 = 5-7 = -2

These calculations are sufficient to match the answer with choice (a).

Answer:

Step-by-step explanation:

Answer:

the correct answer is 3 m............

Answer:

79/120

Step-by-step explanation:

5/24+9/20

to add the fractions the denominator (bottom part) has to be the same. ex you can add one third and one third to make two thirds. but you wont know what 1/2 + 1/3 is.

convert to same denominator. to do this, the fractions themselves need to stay the same value but the bottom number needs to change. ex 1/2=2/4 and 1/3= 2/6. when you multiply and divide the top and bottom part of the fraction by the same number, the value of the fraction stays the same. ex 3/6 divide both parts by 3 you get 1/3. so 3/6=1/3

to get the common denominator we have to find the least common multiple, or LCM (since 5 and 9 dont share any common factors.)

24 and 20 LCM

=120

convert both 5/24+9/20 to x/120 and y/120

5/24 multiply by 5 on top and bottom

=25/120

9/20 multiply by 6 on top and bottom

=54/120

25/120+54/120

=(25+54)/120

=79/120

Answer:

1/2x + 3/2(x+1) - 1/4 = 5

1/2x + 3/2(x) + 3/2 - 1/4 = 5

1/2x + 3/2(x) + 6/4 - 1/4 = 5

4/2(x) + 5/4 = 5

2x + 5/4 = 5

2x = 15/4

x = 15/8

Let me know if this helps!

Answer:

x = 15/8

Step-by-step explanation:

1/2x + 3/2(x+1) - 1/4=5 ​

1/2x + 3/2x + 3/2 - 1/4 = 5

2x + 5/4 = 5

2x = 15/4

x = 15/8

Answer:

Bro it will be +1200

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Step-by-step explanation:

An atom is a chemical unit. It is the smallest particle of a chemical element. A cell is a biological unit. It is the smallest unit of any living beings. A cell is composed of molecules, and molecules are composed of atoms

Answer:

Estimated expenses for next 2 years:

Rent = 1100 * 12 * 2 = 26,400

Gym membership = 450 * 2 = 900

Gym monthly fee = 40 * 12 * 2 = 960

Renter's insurance = 60 * (12 * 2 / 6) = 240

Groceries = 300 * 12 * 2 = 7200

Eating out & entertainment = 175 * 52 * 2 = 18,200

Total estimated living expenses = $53,900

Step-by-step explanation:

Answer:

12.6 ft

Step-by-step explanation:

Answer: D

Step-by-step explanation:

[tex](4x+y)^3\\\\=(4x)^3+3*(4x)^2*y+3*(4x)*y^2+y^3\\\\=64x^3+48x^2y+12xy^2+y^3\\\\Answer\ D[/tex]

Answer:

D

Step-by-step explanation:

Answer:

1 ft

Step-by-step explanation:

1, 480/30=16

2, 16/16=1

3, 1 ft

It sounds like R is the region (in polar coordinates)

R = {(r, θ) : 2 ≤ r ≤ 3 and 0 ≤ θ ≤ π/2}

Then the integral is

[tex]\displaystyle \iint_R\frac{\mathrm dx\,\mathrm dy}{\sqrt{x^2+y^2}} = \int_0^{\pi/2}\int_2^3 \frac{r\,\mathrm dr\,\mathrm d\theta}{\sqrt{r^2}} \\\\ = \int_0^{\pi/2}\int_2^3 \mathrm dr\,\mathrm d\theta \\\\ = \frac\pi2\int_2^3 \mathrm dr \\\\ = \frac\pi2r\bigg|_2^3 = \frac\pi2 (3-2) = \boxed{\frac\pi2}[/tex]

Answer:

Undefined

Step-by-step explanation:

Slope formula = [tex]\frac{y_{2}-y_{1}}{y_{2}-y_{1}}[/tex]

[tex]\frac{4-(-6)}{4-4}[/tex]

[tex]\frac{10}{0}[/tex]

A number can not have a denominator of 0, therefore making the slope undefined.

Answer:

Undefined.

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]

[tex]m=\frac{-6-4}{4-4}=\frac{-10}{0}=[/tex] Undefined

f is a function defined by

{(-3, 1), (-2, 2), (-1, -3), (0, -1), (1, 3), (2, -2), (3, 0)}

so f (1) = 3. Then

h (g (i (j (f (1))))) = h (g (i (j (3))))

j is defined by

{(-3, 0), (-2, 1), (-1, 2), (0, -1), (1, -2), (2, 3), (3, -3)}

so j (3) = -3, and

h (g (i (j (f (1))))) = h (g (i (-3)))

And so on. Next you have i (-3) = 2, then g (2) = 0, and finally, h (0) = 0, so your answer is correct.

Answer:

C. 44.98

Step-by-step explanation:

Hi there!

We are given the right triangle ABC, m<B=12°, and CB =44

We want to find the length of AB

We can use trigonometry to do it

Let's find the ratio in reference to angle B, as that angle is given.

In reference to angle B the opposite angle is AC, the adjacent side is CB, and the hypotenuse is AB

Now let's recall the 3 most commonly used functions:

[tex]sine=\frac{opposite}{hypoptenuse}[/tex]

[tex]cosine=\frac{adjacent}{hypotenuse}[/tex]

[tex]tangent=\frac{opposite}{adjacent}[/tex]

Let's find the cosine of angle B, as it uses CB and AB, which are the given side and the side we need to find

In that case,

cos(12)=[tex]\frac{CB}{AB}[/tex]

cos(12)=[tex]\frac{44}{AB}[/tex]

Multiply both sides by AB

[tex]AB[/tex]*cos(12)=44

Divide both sides by cos(12)

AB=[tex]\frac{44}{cos(12)}[/tex]

Now plug [tex]\frac{44}{cos(12)}[/tex] into your calculator. Make sure your calculator is on degree mode

AB≈44.98

So the answer is C

Hope this helps!

Answer:

-2, - 1, - 2 and - 3

Step-by-step explanation:

As the graph depicts an odd function, it will follow the rule f(-x) = - f(x)