The graphs of lines f an g are shown on the grid. Write a system of equations to represent this graph.

Answer: 12 +3x +2y

Step-by-step explanation:

like terms:

14 and -2

8x and -5x

2y

combine and there you go. hope this helped.

(btw. the equation can vary in different forms, like 3x+2y+12 or 2y+3x+12. They are all correct.)

9514 1404 393

Answer:

Step-by-step explanation:

It should be no stretch to understand that "increases" means the function is a growth function (+ sign), and "decreases" means the function is a decay function (- sign).

The multiplier in front (a) is the initial value — the value when t=0.

Answer:

6 and 9/16

Step-by-step explanation:

The area of a rectangle can be calculated by multiplying the width and length. So 1 3/4*3 3/4=7/4*15/4=105/16 or 6 and 9/16

Answer:12/30

Step-by-step explanation:

3/10 divided by 3/4 what is your answer? divide. 3/10 divided by 3/4 is 12/30. Simplify if you need to.

The fraction of the two squares that is shaded exists 5/16 area shaded.

A diagonal is a line segment connecting two opposite corners (vertexes) of a polygon, however it is not an edge (side). In other words, it connects any two non-adjacent polygonal vertices. Therefore, by connecting any two vertices in a polygon directly (i.e., without using a side), we create a diagonal.

A line segment known as a diagonal joins two polygonal vertexes (corners), although it is not an edge (side). To put it another way, it joins any two polygonal vertices that are not adjacent. Therefore, by connecting any two vertices in a polygon directly (i.e., without using a side), we create a diagonal.

The triangle on the bottom exists 1/2 × 1/2 × 1/2  of the original area of the lower square = 1/8 of the lower square

2 square =  [1/2 (square) + 1/8 (square) ] / 2 square  

= 5/16 area shaded

Therefore, the fraction of the two squares that is shaded exists 5/16 area shaded.

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The fraction of the two squares that is shaded exists 5/16 area shaded.

A diagonal is a line segment that joins two opposed polygonal corners (vertexes), although it is not an edge (side). In other words, it joins any two polygonal vertices that are not neighbouring. As a result, we can make a diagonal by directly joining any two vertices of a polygon (i.e., without utilising a side).

Although it is not an edge, a line segment known as a diagonal connects two polygonal vertexes (corners) (side). In other words, it connects any non-adjacent pair of polygonal vertices. As a result, we can make a diagonal by directly joining any two vertices of a polygon (i.e., without utilising a side).

The triangle on the bottom exists 1/2 × 1/2 × 1/2  of the original area of the lower square = 1/8 of the lower square

2 square =  [1/2 (square) + 1/8 (square) ] / 2 square  

= 5/16 area shaded

Therefore, the fraction of the two squares that is shaded exists 5/16 area shaded.

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Answer:

6 and -13

Step-by-step explanation:

Absolute Values are magnitudes (only positive values) of any values (be it positive or negative.)

Example: |4.5| = 4.5, |-6.7| = 6.7

1. |2x + z| + 2y

= |2(2.1) + (-4.2)| + 2(3)

= |4.2 - 4.2| + 6

= 0 + 6

= 6

2. 4a - |3b + 2c|

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

= -8 - |-9 + 4|

= -8 - |-5|

= -8 - 5

= -13

Answer:

A = 18π units²

Step-by-step explanation:

The area (A) of the semicircle is calculated as

A = [tex]\frac{1}{2}[/tex] πr² ( r is the radius ) , then

A = [tex]\frac{1}{2}[/tex]π × 6² = [tex]\frac{1}{2}[/tex]π × 36 = 18π ← exact answer

Answer: C

Step-by-step explanation: i dont know srry

Answer:

a) 64.37m^2   b) 15.71 meters

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex]

Rectangle: quadrilateral, parallelogram, all angles are 90 degrees

a) The area of the park not covered by the wading pool is equivalent to the area of the wading pool subtracted from the total area:

because the radius of the pool is 2.5

Area of wading pool = [tex]\pi 2.5^2=6.25\pi m^2[/tex]

The total area of the park is length x width because it is a rectangle

Area of park = [tex]14*6=84m^2[/tex]

Area of the park not covered by the wading pool = [tex]84-6.25\pi[/tex] ≈ 64.37m^2

b) The meters of fence needed to surround the circular pool is the circumference of the circle

Circumference: [tex]2.5*2\pi=5\pi[/tex] ≈ [tex]15.71[/tex]

Answer:

The answer is 12V3 60°

Hope I help you

Answer:

c Calculate the product of the length and width, height and width and height and length then

multiply by 2.

Step-by-step explanation:

it will look like this 2lw+2hw+2hl

A proof competition is held annually by Contradiction Club, with special prizes awarded for first, second, third, and fourth place. If 16 students participate in the competition this year, the awards can be allocated among the students in 120 different ways.

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The time that it will take for the object to reach maximum height is given as follows:

3 seconds.

The maximum height is given as follows:

304 feet.

The object's height is modeled by a quadratic function in the following format:

h = -16t² + v(0)t + h(0).

In which:

The parameters for this problem are given as follows:

v(0) = 96, h(0) = 160.

Hence the function is defined as follows:

h(t) = -16t² + 96t + 160.

Meaning that the coefficients of the quadratic function are given as follows:

a = -16, b = 96, c = 160.

The coefficient a is negative, meaning that this is a concave down quadratic function, thus the vertex of the quadratic function represents the maximum height.

The t-coordinate of the vertex is given as follows:

t = -b/2a = -96/-32 = 3 seconds.

Then the maximum height is of:

h(3) = -16(3)² + 96(3) + 160

h(3) = 304 feet.

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Answer: D

Step-by-step explanation:

v=4/3*3.14*13^2

The function f(x - 5/3) is translated 5/3 units right and the function f(x) - 5/3 is translated 5/3 units down.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over the y-axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, A function f(x) is transformed to f(x - 5/3) this results in f(x) is translated 5/3 units to the right along the x-axis.

And, The transformation f(x) - 5/3 is translated 5/3 units down along the y-axis.

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The answer is 90 times to expect picking an apple or banana.

If the fruit is chosen 300 times, then it would be a 1:3 ratio of apple or banana to the other fruits. This means that 100 times out of the 300 times, you would expect to pick an apple or banana.

Predicting the outcome using the experiment results because 300 times is a sizable number.

8+4 is either an apple or a banana in 40 times.

Therefore, the solution would be x in 300 times.

[tex]x = \frac{300}{40}[/tex] x12

x = 90

Therefore, the probability of picking an apple or banana is 90 times.

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Answer:

488 adults and 276 children

Step-by-step explanation:

So, we need two linear equations here to start, and we do have them.

Our first linear equation tells us how we get the number of forks:

2c + 5a = 2992

And the second tells us the number of people there:

c + a = 764

I will solve this using substitution. We start by minusing a from both sides in the second equation, giving us:

c = 764 - a

Then, we will substitute this into our first equation, giving us:

2(764 - a) + 5a = 2992

Then, we will open the parentheses, giving us:

1528 - 2a + 5a = 2992

Combining like terms and subtracting 1528 from both sides gives us:

3a = 1464

Dividing by 3:

a = 488

So there were 488 adults. Then, we take our original second equation and substitute 488 for a, giving us:

488 + c = 764

Minus 488 from both sides gives us:

c = 276

So, there were 276 children. In total, we had 488 adults and 276 children.

Hope this helped!

Answer:

49% of the lights are on!

Answer: what’s the problem

Step-by-step explanation:

with what problem there isn't one posted

Step-by-step explanation:

for the first one

subtract 10 from 5 times a certain number

Answer:

(k+5)(k−1)=k2+4k−5

Step-by-step explanation

Answer:

j = 2m-3

Step-by-step explanation:

Breakdown:

2m = Twice Michael's age

-3 = Three years younger

Answer : in California there are 24 volcanoes while in Alaska there are 36 volcanoes.

Step-by-step explanation:

Total number of volcanoes = 60.

40% of the volcanoes where in California.

i.e 100% - 40% = 60%.

60% of the volcanoes were in Alaska.

In California = 40/100 × 60 = 24 volcanoes.

In Alaska = 60/100 × 60 = 36 volcanoes.

Answer:

Marty's with a slope of 1/3

Step-by-step explanation:

edge2021

Marty's function has the larger slope of 1/3.

The slope of a line is computed as the ratio of the change in the y-axis to the change in the x-axis.

Marty's equation is given as,

y + 3 = 1/3(x + 9)

The equation for point slope form is,

y - y₁ = m(x - x₁)

Where, m is the slope of the line.

So, m = 1/3

Consider a function written by Ethan,

(-4, 9.2) and (-2, 9.6)

Slope of the line,

m = (y₂ - y₁)/(x₂ - x₁)

m = (9.6 - 9.2)/(-2 - -4)

m = 0.4/2 = 0.2

Hence,

Marty's function has the larger slope of 1/3.

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Answer:

x = 25

Step-by-step explanation:

First we need to show that these two triangles are similar.  Add up the angles 68 and 38 degrees in the first triangle, and then subtract this sum from 180 degrees.  This results in 74 degrees, which matches 74 degrees in the second triangle.

Next we write and solve an equation of ratios:

 6        10

----- = -------

15         x

Cross multiplying returns 6x = 150, so that x = 25.

Note that 6/15 is the ratio of the shortest sides, and 10/x is the ratio of the longest sides.

Answer:

the answer is 52 because all angels are equal

Step-by-step explanation:

Math joke: Tell Algebra to stop finding his X She dont want him anymore!!!!

lol hope this helps!

Answer:

128 is your answer

Step-by-step explanation:

Triangle's angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the third angle to make a 180 angle

180-52=128

52+128=180

1) Jada does not have 90% of the total possible points before the final test.

2) If Jada gets at least 92 out of 100 on the final test, she will not get an A in the class.

From the following table of Jada’s results before the final test in the class the total number of points possible:

150 + 100 + 100 + 100 = 450

And Jada’s total points before the final test:

141 + 87 + 81 + 91 = 400

To check whether Jada have 90% of the total possible points before the final test, we find the percentgae of  Jada’s total points.

(400/450) × 100 = 88.89%

This means, Jada does not have 90% of the total possible points before the final test.

After final test, the total number of points possible:  450 + 100 = 550

And if she gets at least 92 out of 100 on the final test, her total points would be,

400 + 92 = 492    

And the percentgae of  Jada’s total points would be,

(492/550) × 100 = 89.45%

Given that Jada needs to have at least 90% of the total number of points possible.

so, she will notl get an A in the class.

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Answer:

= 2700

Step-by-step explanation:

1300+700+700

Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

By multiplying the value about one unit by the quantity of units required, one can apply the unit technique to solve a problem. The unit procedure is used to separate a single entity integer from a given many, to put it simply. One pen, or 400 rupees, would be needed to purchase 40 needle. There might be a common way to verify this. only one nation. Anything has a unique feature. Algebra, grid logic, and its laminates and reverse are all identical terms used to describe mathematical analysis.

Here,

Given : Ria purchases 19 books for £6.82 apiece.

Thus,

Total cost of book = 19 * 6.82

=> 129.58

Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

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Answer:

(x-5)2+(y+7)2=4    

Step-by-step explanation: