Going to the movies costs $9.50 per person. What is the slope of the line that models this situation, if x represents the number of people and y represents the total cost?

The expression 'x squared minus 9' represents a difference of two squares. It can be factored using the rule a² - b² = (a - b)(a + b), resulting in (x - 3)(x + 3).

The expression x squared minus 9 is a difference of two squares, which can be factored into two binomials. The general rule for factoring a difference of squares is that a² - b² = (a - b)(a + b). Therefore, x² - 9 can be factored as (x - 3)(x + 3). Here, 'x' is the square root of 'x²' and '3' is the square root of '9'. Thus,

x² - 9 = (x - 3)(x + 3).

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The expression 'x squared minus 9' is factored as (x - 3)(x + 3) using the difference of squares rule in algebra.

Factoring the expression x squared minus 9 is an application of a rule in algebra known as the difference of squares. The difference of squares rule states that for any two terms a and b, the difference of their squares can be factored as (a - b)(a + b). Apply this rule to the given expression x squared minus 9

by considering 'x' as 'a' and '3' as 'b' (since 3 squared is 9), we get (x - 3)(x + 3) as the result. So, x squared minus 9 factors into (x - 3)(x + 3).

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When a cone is intersected by a plane containing the axis of rotation, an ellipse is formed as the cross-section in geometry.

When a cone is intersected by a plane containing the axis of rotation, an ellipse is formed as the cross-section. This is a key concept in geometry, where the intersection of a plane with a cone results in different types of curves known as conic sections.

In simple terms, an adjacent angle shares a common vertex and one side with the given angle. From the choices given, Angle BGE is adjacent to Angle BGC since it shares the vertex G and side BG.

In geometry, an adjacent angle shares a common vertex and a common side but do not overlap. If we consider the Angle BGC, the angle that shares its vertex at G and one of its sides (the side GB or GC) would be the adjacent angle. Based on the options provided and the definition of adjacent angles, the angle adjacent to Angle BGC would be Angle BGE as it fulfills the criteria of sharing a common vertex (G) and a side (BG) with Angle BGC.

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Answer:

a = ( 5 +/- sqrt(57) )/2

Step-by-step explanation:

Uh...well just multiply by a and move the 4, setting the equation to 0.

a, b, and c are 2, -5, -4

Plug that into the QuadF.

Answer:  [tex]\bold{\dfrac{5\pm \sqrt{57}}{4}}[/tex]

Step-by-step explanation:[tex]2a-5=\dfrac{4}{a}\\\\\text{Multiply by the LCD (a) to clear the denominator:}\\\\\\2a(a)-5(a)=\dfrac{4}{a}(a)\\\\2a^2-5a=4\\\\2a^2-5a-4=0\quad \rightarrow \quad a=2,\ b=-5,\ c=-4\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(2)(-4)}}{2(2)}\\\\\\.\ =\dfrac{5\pm \sqrt{25+32}}{4}\\\\\\.\ =\dfrac{5\pm \sqrt{57}}{4}[/tex]

The point (1, 4) is on the graph of the function f(x)=4x.

To find a point on the graph, we can choose any value for x and compute the corresponding y-value using the function's formula.

For example, if x = 1, then f(1) = 4(1) = 4, so one point on the graph is (1, 4).

The point (1, 4) fulfills the dependence of y on x represented by the function f(x).

Answer:

8in

Step-by-step explanation:

input (D) which is 7 days to find the height

h(d) = 3/7d +5

h = 3/7(7) + 5

h = 3+5

h=8

Answer:

8in

Step-by-step explanation:

The height of her plant can be expressed by the following function where d represents the number of days the plant has been growing and h(d) Represents the height in inches. h(d)= 3/7d + 5.

Answer:

I believe it's P- 3250 (2.5) t

Step-by-step explanation:

If the framework is k= yx, P is the population total. 3250 is the number after 200 and 2.5t is the rate it increases by 2.5% every year, t

Answer:

The sample size is not appropriate.

The population isn’t given to be approximately normal.  And for the following question, "A convenience sample of forty people is taken from a population. Which of the following is a reason why you can not make a statistical inference on the population?" The answer is The wrong sampling method was used.

Answer:

Answers are : (1st & 2nd choices)

• The sample size is not appropriate.

• The population isn't given to be approximately normal.

Answer:

489 to the nearest foot.

Step-by-step explanation:

y = -2.58x + 566.67

x = 30:

y = -2.58*30 + 566.67

= 489 to nearest foot.

Answer:

A 30 year old driver can see 489.27 feet

Step-by-step explanation:

The equation yˆ=−2.58x+566.67 models the distance a driver can see in feet, where x is the age of the driver in years.

WE need to find out the height when x is 30

Plug in 30 for x  and find out y

y=−2.58x+566.67

Replace x with 30

y=−2.58(30)+566.67 = 489.27

A 30 year old driver can see 489.27 feet

Answer:

A

Step-by-step explanation:

First: C is incorrect. It is using the value of acceleration due to gravity in the metric system.

Second: the 16 must be opposite in sign from the 25. That makes B and D incorrect.

Answer: A

Answer:

Step-by-step explanation:

y=4(2)-7

y=(4)(2)(−7)

Answer:

y=−56

Value of y when x = 2 is 1.

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given equation

y = 4x-7

Value of y when x = 2

Substitute x = 2 in above equation

[tex]y = 4 \times 2 -7[/tex]

[tex]y=8-7[/tex]

y = 1

Value of y when x = 2 is 1.

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Answer:

$14.21

Step-by-step explanation:

To find 25% of 18.95, you can multiply 18.95×0.25, which approximately equals $4.74. Then subtract $4.74 from $18.95 to get $14.21

Answer:

$14.2125

Step-by-step explanation:

We have been given that the original cost of a lamp is $18.95. The lamp is on sale for 25% off.

Since the lamp is on a 25% sale, then the cost of the lamp would be 75% (100%-25%) of the original price.

[tex]\text{Cost of lamp after sale}=\$18.95\times \frac{75}{100}[/tex]

[tex]\text{Cost of lamp after sale}=\$18.95\times 0.75[/tex]

[tex]\text{Cost of lamp after sale}=\$14.2125[/tex]

Therefore, you will have to pay $14.2125 for the lamp.

Answer:

80°

Step-by-step explanation:

We know the measure of ∠CAB.  This is an inscribed angle; this means its measure is 1/2 that of the intercepted arc, BC.  This means the measure of BC is 100°.

This makes the measure of arc BAC is 360-100 = 260°.

The measure of the angle formed by the tangents, since it is outside the circle, will be 1/2 of the difference of the intercepted arcs.  This means the measure of this angle will be

1/2(260-100) = 1/2(160) = 80°

Based on the information given, it should be noted that the angle between the tangents to the circle at points B and C will be 80°.

It should be noted that the angle between the tangents to the circle at points B and C will therefore be calculated thus:

= 1/2(260-100)

= 1/2(160)

= 80°

In conclusion, the correct option is 80°.

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Answer:

30,000 stores

Step-by-step explanation:

setting up a proportion is proably the easiest way to solve this equation..

9/ x = 3%/100%

0.03x = 9(100)

0.03x = 900

/0.03     /0.03

x = 30,000 stores

hope this helps!!

Answer:

17

Step-by-step explanation:

given

2f + 4f + 2 - 3 ← simplify by collecting like terms

= 6f - 1 ← substitute f = 3 into the expression

= (6 × 3) - 1 = 18 - 1 = 17

Answer:

17

2(f) + 4(f) + 2 - 3        |         (f) = 3

2(3) + 4(f) + 2 - 3

(6 +  12) + (2 - 3)

(18) - (1)

Step-by-step explanation:

V=1728m³

Hope this answer helps!!

Answer:

Factoring

Step-by-step explanation:

To solve the equation [tex]x ^ 2 + 4x + 3 = 0[/tex], you must apply the factoring method.

You must find two real numbers b and c such that:

[tex]b + c = 4[/tex]

and

[tex]b(c) = 3[/tex]

Then the expression:

[tex]x ^ 2 + 4x + 3 = 0 = (x + b)(x + c)[/tex]

You can prove that:

[tex]b = 3\\c = 1[/tex]

So

[tex]x ^ 2 + 4x + 3 = 0 = (x + 3)(x + 1)[/tex]

[tex](x + 3)(x + 1) = 0[/tex]

[tex]x +3 = 0[/tex] or [tex]x + 1 = 0[/tex]

[tex]x = -3[/tex] or [tex]x = -1[/tex]

X will be -1 and -3!

Answer: 18% of 120 is 21.6

And, 12% of 120 is 14.4

* Both of their work is below:)

* Hopefully this helps:)!! Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

Step-by-step explanation:

18% of 120

Convert 18% to a decimal by dividing by 100:

18 / 100 = 0.18

120 * 0.18 = 21.6

12% of 120

Convert 12% to a decimal by dividing by 100:

18 / 100 = 0.12

120 * 0.12 = 14.4

Answer:

1/14

Step-by-step explanation:

There are 9 + 4 + 1 people to choose from. Total = 14

There is a 1/14 probability that she will be choosen.

Answer:1/12

Step-by-step explanation:

Answer:

The value of y = 70°

Step-by-step explanation:

∵ The measure of the major arc = 160 + 60 = 220°

∵ The measure of the circle is 360°

∴ The measure of the minor arc = 360 - 220 = 140°

∵ y is the angle between a chord and a tangent

∵ The chord subtended by the arc of measure 140°

∵ y is subtended by the arc of measure 140°

∵ Angle of tangent subtended by an arc,

  its measure = half the measure of the subtended arc

∴ The measure of y = 1/2 the measure of the subtended arc

∴ y = 1/2 × 140 = 70°

Answer:

70

Step-by-step explanation:

Answer:

[tex]\large\boxed{A.\ (x+6)^2+(y+10)^2=20}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).

The midpoint of a diameter is a center of a circle.

The formula of a midpoint:

[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

Substitute:

[tex]x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10[/tex]

We have h = -6 and k = -10.

The radius is the distance between a center and the point on a circumference of a circle.

The formula of a distance between two points:

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

Substitute (-6, -10) and (-8, -6):

[tex]r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}[/tex]

Finally we have

[tex](x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20[/tex]

Answer:

It's A...Just had it but i Chose B but it's A

Step-by-step explanation:

Answer:

D) coordinates of its reflection image is ( -3 , 2) .

Step-by-step explanation:

Given : S ( 3 ,2)  If point S is reflected across the y-axis,

To find : what are the coordinates of its reflection image.  

Solution : We have given S ( 3 ,2).

By the reflection rule over y -axis : (x ,y) →→ ( -x , y) .

Then x = 3 , y = 2

Then coordinates of its reflection image is

(3 , 2 ) →→ ( -3 , 2) .

Therefore,  D) coordinates of its reflection image is ( -3 , 2) .

Answer:

Step-by-step explanation:

If you are making $14.00 in an hour then in 1 day it will be $14.00 × 24 = $336.00 and in 1 month $336.00 × 12 = $4032.00

Answer:

The rate of change is 8 more for function 2 than it is for function 1.

Step-by-step explanation:

Function 1 is a horizontal line, which has a slope of 0. Slope is the same as rate of change.

Function 2 has a slope of 8 (since it is the coefficient of x.

As a result, we know that function 2's rate of change is 8 higher than that of function 1.

Answer:

Option D. [tex]40\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<QPS=\frac{1}{2}(minor\ arc\ QS)[/tex]

we have

[tex]m<QPS=20\°[/tex] ----> given problem

substitute

[tex]20\°=\frac{1}{2}(minor\ arc\ QS)[/tex]

[tex]40\°=(minor\ arc\ QS)[/tex]

Rewrite

[tex]minor\ arc\ QS=40\°[/tex]

ANSWER

[tex](3x - 2)(x + 4)[/tex]

EXPLANATION

The given quadratic trinomial is

[tex]3 {x}^{2} + 10x - 8[/tex]

Comparing to the general quadratic trinomial:

[tex]a{x}^{2} + bx + c[/tex]

We have a=1, b=10 and c=-8

[tex]ac = 3 \times - 8 = - 24[/tex]

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

[tex]3 {x}^{2} + 12x - 2x- 8[/tex]

Factor;

[tex]3x(x+ 4) - 2(x + 4)[/tex]

Factor further;

[tex](3x - 2)(x + 4)[/tex]

The last option is correct.

Answer:

Four less a number

Step-by-step explanation:

x-4 is literally subtracting 4 and 4 less a number is basically also subtracting 4 from an equation.

Answer:

Step-by-step explanation:

The sentence that represents better the given expression is "The difference of a number and 4".

Mainly because states the difference in the right order, first the unknown number, which is called "a number", and in second place the number 4, referring to the difference is the subtract of 4 units from the number, not in the opposite way.

On the other hand, "a number less than 4" specifies that the unknown number is minor than 4, which is not true. "the sum of a number and 4" is completely wrong, because there's no sum at all. "Four less a number" refers to a difference but in the opposite way 4-x.

Therefore, the right answer is

Answer:

[tex]\frac{21}{8}[/tex]

Step-by-step explanation:

Given: [tex]3\frac{1}{8} - \frac{1}{2}[/tex]

Let's changed that mixed number to an improper fraction. Now we get:

[tex]\frac{25}{8} - \frac{1}{2}[/tex]

Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:

[tex]\frac{25}{8} - \frac{4}{8}[/tex]

We can use [tex]\frac{4}{8}[/tex] because it is equal to [tex]\frac{1}{2}[/tex]. Now, all we need to do is subtract the numerators:

[tex]\frac{25}{8} - \frac{4}{8}=\frac{21}{8}[/tex]

Answer:

Step-by-step explanation:

Answer: OPTION A

Step-by-step explanation:

To find the zeros of the quadratic equation given in the exercise, you need to apply the proccedure shown below:

- You must rewrite it as following:

[tex]2x^2+9x+4=0[/tex]

-You can apply the Quadratic formula, which is shown below:

[tex]x=\frac{-b\±\sqrt{b^2-4c}}{2a}[/tex]

In this case:

[tex]a=2\\b=9\\c=4[/tex]

- Therefore, when you substitute values, you obtain:

[tex]x=\frac{-9\±\sqrt{(9)^2-4(2)(4)}}{2(2)}[/tex]

[tex]x_1=-4\\\\x_2=-\frac{1}{2}[/tex]

The zeroes of the function y = 2x² + 9x + 4 is x = -1/2 and x = -4.

Given a function,

y = 2x² + 9x + 4

We have to find the zeroes of the function.

Zeroes of the function are the values of x or the input values when the values of y or the output values become 0.

Here the zeroes are the x values when y = 0.

Consider,

y = 2x² + 9x + 4

Let y = 0

2x² + 9x + 4 = 0

Using the quadratic formula,

Discriminant = √(9² - (4×2×4)) = √49 = 7

x values are,

x = (-9 ± 7) / 4

x = -1/2 and x = -4

Hence the correct option is A.

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Answer:

No

Step-by-step explanation:

No, because think of 9, its not divisible by two and for the second one yes, a perfect square always has a positive and negative