The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows: y = 4 + 2x What does the slope of this function represent? (1 point) a The original height of the plant was 4 mm. b The original height of the plant was 2 mm. c The height of the plant increases by 2 mm for every hour of sunlight it receives. d The height of the plant increases by 4 mm for every hour of sunlight it receives.

Let's take this problem step by step:

To find the ordered pair of the system:

 ⇒ must set both equations equal to each other

     ⇒ solve for 'x'

Let's solve:

 [tex]x^2-2x+3=-2x+12\\x^2-2x+2x+3-12\\x^2-9=0\\(x+3)(x-3)=0[/tex]

Let's find the x-values:

 [tex](x+3)=0\\x=-3\\\\(x-3)=0\\x+3[/tex]

Let's find f(x)'s value for each 'x':

 [tex]x=-3\\f(-3)=-2(-3)+12=6+12=18\\\\x=3\\f(3)=-2(3)+12=-6+12=6[/tex]

Answer: (3, 6), (-3,18)

Hope that helps!

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:\dfrac{2}{3} + \cfrac{ \sqrt{5} }{2} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{4 + \sqrt{45} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{4}{6} + \cfrac{ \sqrt{45} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ \sqrt{3 \times 3 \times 5} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ 3\sqrt{5} }{6} [/tex]

[tex]\qquad \tt \rightarrow \: \dfrac{2}{3} + \cfrac{ \sqrt{5} }{2} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The equation that represents Camille's profit p as a function of the number of doughnuts sold, n is P = 1.35n - 60

She bought 120 doughnuts for $60.

Therefore,

cost  = $60

Her profit was $48 once she sold 80 doughnuts.

p = profit

n = number of doughnuts sold.

Therefore,

let

x = amount she is selling each doughnuts

p = nx - 60

Using the information given we have:

48 = (80x) - 60

Therefore,

x = $1.35

Hence, for any number of doughnuts then, we have the profit equation as follows:

P = 1.35n - 60

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The diameter of the sphere is 14 cm.

Sphere is a three dimensional object , it has no edges or vertices and is round in shape.

The surface area of the sphere is given by 4πr²

As radius = diameter /2

Surface area =  4π r²

196 π = 4π *(d/2)²

196/4 = d²/4

49 *4 = d²

d = 14 cm

Therefore the diameter of the sphere is 14 cm.

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The limit [tex]\lim_{X \to \ 3^{-} } f(x)[/tex] is equal to -1 to infinity for the function whose graph is being shown in the question.

Given Graph of a function.

If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-3 to infinity  the range is from -1 to -infinity and from 3 onwards it is a straight line at y=-4. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.

Hence the limit  is equal to (-infinity,-1]

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Answer:

a and b

Step-by-step explanation: you can move the exponent to the front and lne is also equal to one times 2 = 2

The statements that describe a triangular prism are:

A triangular prism is a three-dimensional object that is made up of one base that has the shape of a triangle and three lateral sides that have the shape of a rectangle. A triangular prism has 5 faces, 9 edges and 6 vertices.

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Answer:

The diameter is 10 cm. the radius is 5 cm. the area is πr² = π x 5² = 78.5 cm².

1 m² = 10,000 cm².

78.5/10,000 = 3,300/n n is the cost per square meter.

78.5n = 10,000 x 3300

n = 420,382.1656

The cost per square meter is $420,382.17.

Answer:

cost price = £ 600

discount = 5%

selling price =

5/100 * 600.

5 * 6

30 £

price = 600 - 30

= 570

Answer: f(x) = -2 (x+3) (x-1)

Step-by-step explanation: See Attachment

20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that there were 10 people at the hot dog eating contest. If each person eats 2 hot dog, hence:

Number of hot dogs eaten = 2 hot dog per person * 10 people = 20 hot dogs.

20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.

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Answer:

4 secs

Step-by-step explanation:

Since they have to be synchronized, their parabolic equations must be equal to one another

3(t^2 + 9 - 6t) - (t^2 + 25 - 10t) - t + 2 = 0

2t^2 - 9t + 4

(2t - 1)(t - 4) = 0

t = 1/2, 4

From the options, the answer is 4

The gymnasts will be at the same height during their flips at two different times: 1/2 seconds and 4 seconds.

so, correct option is: C.

Here, we have,

To determine when the gymnasts will be at the same height during their flips, we need to find the time (x) at which the equations for y are equal.

The given equations are:

y = –(x – 5)² + 3

y = –3(x – 3)² + x + 1

Setting the two equations equal, we have:

–(x – 5)² + 3 = –3(x – 3)² + x + 1

Expanding the squared terms:

–(x² – 10x + 25) + 3 = –3(x² – 6x + 9) + x + 1

Simplifying the equation:

–x² + 10x – 25 + 3 = –3x² + 18x – 27 + x + 1

Combining like terms:

–x² + 10x – 22 = –3x² + 19x – 26

Rearranging the equation:

2x² - 9x + 4 = 0

To solve this quadratic equation, we can factor it:

(2x - 1)(x - 4) = 0

Setting each factor equal to zero:

2x - 1 = 0 or x - 4 = 0

Solving for x:

2x = 1 or x = 4

Dividing by 2:

x = 1/2 or x = 4

Therefore, the gymnasts will be at the same height during their flips at two different times: 1/2 seconds and 4 seconds.

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The least to greatest slope, the segments are B, C and A.

Given that,

Segments A, B, and C on the graph below represent the water level of the tank every minute since it started filling.

A graph shows the water level needed to fill the tank on the y axis per unit of time on the x axis.

The segment's slope indicates how quickly the water level is rising. The slope, which is determined by the segment's angle with the positive x axis, is the ratio of rise to run.

slope of segment A = 60₋10/2 = 25

slope of segment B = 80₋60/4 = 5

slope of segment C = 110₋80/3 = 10

We can see that section B has the least slope, followed by segment C, and then segment A, which has the greatest slope.

B, C, and A are the segments in descending order of least to greatest slope.

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The solution to the inequality 5x - y > -3 is shown in the graph.

An equation is an expression that shows the relationship between two or more numbers and variables.

An inequality shows the non equal comparison of two or more variables and numbers.

The solution to the inequality 5x - y > -3 is shown in the graph.

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find the length using the Pythagorean theorem.

Length = sqrt(20^2 - 12^2)

Length = 16 feet

area = 12 x 16 = 192 square feet

Answer:

only AAS,ASA and SSA Are classified

It's false

Step-by-step explanation:

please mark me as brainlest

False

The key reason is the formula 's limitations

As SSS means only three sides and no angles are given Law of sines can't be used

The lateral surface area of the Pyramid will be 850547 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

The lateral surface area will be calculated as:-

A = [tex]= l\sqrt{(\dfrac{w}{2})^2+h^2} + w\sqrt{(\dfrac{l}{2})^2+h^2}[/tex]

A = [tex]= 750\sqrt{(\dfrac{750}{2})^2+450^2} + 750\sqrt{(\dfrac{750}{2})^2+450^2}[/tex]

A = 750 √321525 + 750 √321525

A = 150 √√321525

A = 1500 x 567.031

A  = 850547 square feet

Therefore the lateral surface area of the Pyramid will be 850547 square feet.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: Add \:\: -6 \hat i - 6\hat j \:\:with \:\; Vector \:\; c[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Vector d can be represented as :

[tex]\qquad \tt \rightarrow \: - 2 \hat i - 2 \hat j[/tex]

Vector c can be represented as :

[tex]\qquad \tt \rightarrow \: 4 \hat i + 4\hat j[/tex]

we have to create vector d from vector c

So, let's assume a vector x, such that sum of vector x and vector c equals to vector d

[tex]\qquad \tt \rightarrow \: x + ( 4 \hat i + 4 \hat j) = - 2 \hat i - 2 \hat j[/tex]

[tex]\qquad \tt \rightarrow \: x = - ( 4 \hat i + 4 \hat j) - 2 \hat i - 2 \hat j[/tex]

[tex]\qquad \tt \rightarrow \: x = (- 4 \hat i - 2 \hat i) + ( - 4 \hat j - 2 \hat j)[/tex]

[tex]\qquad \tt \rightarrow \: x = - 6 \hat i -6 \hat j[/tex]

Henceforth, in order to get vector d, we need to add (-6i - 6j) in vector c

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

Step-by-step explanation:

b+9≤2

Subtract 9 from both sides:

9+b≤2

subtract 9 on each side which will be -7

the answer will be b≤-7

First find the Slope-intercept form of the graph:

b=1

Given the points: (0,1)&(3,0)

slope= [tex]\frac{y1-y2}{x1-x2} =\frac{1-0}{0-3} =\frac{-1}{3}[/tex]

The line is not a dashed line, so that means the values on the slope (blue) are also counted

All the y values below the slope are counted, the inequality is:

y[tex]\leq \frac{-1}{3}x +1[/tex]

Hope it helps!

A figure can be graphed on a coordinate plane as a set of points located on specific places, specified by  their coordinates.

The cartesian coordinate plane is an infinite 2 dimensional plane and each point of a cartesian plane is tracked by a location.

Now, the perpendicular distance of point from the horizontal axis and vertical axis are respectively usually named x-axis and y-axis. The location is then written as (a,b) where;

a is that point's shortest distance from the y-axis and called x-coordinate of that point.

b is that point's shortest distance from the x-axis, and called y-coordinate of that point.

Thus, those given geometric figures can be graphed on a coordinate plane as a set of points located on specific places, specified by  their coordinates.

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Answer:

-3/2 ≤ x < 5

Decimal form:

-1.5 ≤ x < 5

(hope this helps)

Answer:

7+45/n or 5

Step-by-step explanation:

45 divided by n or technically 5 is 9 plus 7 is 16 :)

Answer:7+45/n or 5

Step-by-step explanation:

Answer:

m=(-5y-3y)

Step-by-step explanation:

5m+5y=4m-3y

5m-4m=-5y-3y

m(5-4)=-5y-3y

m=(-5y-3y)/1

The x-coordinate of the point (50, 55) is 50

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The distance of point (50, 55) perpendicular to y-axis

Thus, perpendicular distance = 50 units

The x-coordinate of the point (50, 55) is 50

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Answer:

A

Step-by-step explanation:

Comment (and answer)

Both start with the plus x axis as one of the arms. The other arm of 110o goes anti clockwise until it is 30 degrees into the second quadrant.

The answer can be found by using 110 - 360 = negative angle.

So 110 - 360 = - 250 which goes clockwise from the plus x axis. The answer must be A.

Make sure you understand the concept of clockwise and anti clockwise. If you don't know, ask your teacher, write it down, and try not to forget it. The distinction comes up a lot.

Answer:

36 problems

Step-by-step explanation:

so let's say x = how many problems Marcela was assigned

she completed half of them so the amount of problems left is x/2

She then completed 7 more so now we can subtract 7. We then set this to 11 to solve for x

x/2 - 7 = 11

x/2 = 18

x = 36