Solve the following system of equations graphically on the set of axes below.
y= x-2
y=x−2
y= -3x-6
y=−3x−6

Answer:

The area of the shape shown is [tex]12.5units^2[/tex]

Step-by-step explanation:

So the formula for solving the area of trapezoids is:

(top base + bottom base) x height ÷ 2

In this case, the equation is:

(7.5 + 2.5) x 2.5 ÷ 2

Let's solve it!

(7.5 + 2.5) x 2.5 ÷ 2 =

10 x 2.5 ÷ 2 =

25 ÷ 2 =

12.5

Which will get 12.5 as an answer.

Since the unit isn't listed, we will just write [tex]unit^2[/tex] instead of [tex]cm^2[/tex] or [tex]in^2[/tex]

Answer:

12.5

Step-by-step explanation:

I split the shape into two shapes: one square, and two identical right triangles

The area of the square is a^2 so 2.5^2 so 6.25

The area of the right triangle A=ab/2 we know one side 2.5 and the other side is just 7.5-2.5 and then halved so also 2.5.

The area of this triangle is 3.125*2 because there are 2 then +6.25

=12.5

Edit: Just realized there was a much simpler way to do this lol I just normally can't do math the regular way. You can just do the area of the trapezoid

Answer: 12 cups of applesauce

Step-by-step explanation:

Therefore, the height of the ball after four seconds is 448 feet.

Height refers to the vertical distance between something's top and bottom or its base and anything above it. Height is used to describe everything that may be measured vertically, high or low.

Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

We need to plug t = 4 into the equation h = -16t^2 + 176t.

h = -16(4^2) + 176(4)

h = -16(16) + 704

h = -256 + 704

h =  448 feet.

So, 448 feet is the height after four seconds.

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1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.

To find the amount of money that remains per person after buying raisins, we first need to find the total cost of the raisins. If 4 boxes of raisins cost $1.50 each, then 4*1.50 = $6 is spent on raisins.

To find the amount of money that remains for popcorn and drinks, we subtract the cost of the raisins from the total amount of money: 25-6 = $19.

Since there are 5 people in total (you and 4 friends), we divide the remaining money by 5 to find the amount per person: 19/5 = $3.80 per person.

2. The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.

To find the cost per player, we divide the total cost of the banquet by the number of players: 960/60 = $16 per player

3. To solve the equation 2/3(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.

The reciprocal of the fraction 2/3 is 3/2

4. There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.

Let's call the cost of a silver ticket x.

The cost of a gold ticket is x + 8.

We know that Patrick spent 10x + 10(x+8) = $140

We can simplify that: 10x + 10x + 80 = 140

Then we have 20x + 80 = 140

Then we have 20x = 60

And x = 3

Then the price of a silver ticket is $3 and the price of a gold ticket is $3+8 = $11

5. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.

If the original recipe calls for 2 cups of sugar and the changed recipe calls for 2 1/2 cups of flour and sugar combined, then the original recipe calls for 2 1/2 - 2 = 1/2 cup of flour.

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Answer:-4x/6 + 5x/2

Step-by-step explanation:

just combined it

Answer: If there are 198 calories in 4 ounces if ice cream it will be 396

Step-by-step explanation:

Answer:

Formulas for Arc Length

The formula to measure the length of the arc is –

Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)

Arc Length Formula (if θ is in radians) s = ϴ × r

Arc Length Formula in Integral Form s= ∫ba1+(dydx)2−−−−−−−−s= ∫ba1+(dydx)2−−−−−−−−√dx

Answer:

=4x+1

Step-by-step explanation:

Let's simplify step-by-step.

2(2x+3)−5

Distribute:

=(2)(2x)+(2)(3)+−5

=4x+6+−5

Combine Like Terms:

=4x+6+−5

=(4x)+(6+−5)

Answer:

2x + 1 = 29

Step-by-step explanation:

There are a lot of answers.

2x + 1 = 29

2x + 1 = 29  Subtract 1 from both sides

2x = 28  Divide both sides by s

x = 14

Start off knowing that x will be 14, then multiply 14 by some number and then add or subtract some number from that and put that on the other side of the equal sign.

x = 14

14 x 2 = 28 and then add 1 to that to get 29

2x + 1 = 29

Answer: Do you want x=14 or for it to equal 14, because I have it both ways. For x=14, an acceptable two step equation would be 2x-5=23. If you want it to equal 14, then you can write 5x-1=14

Step-by-step explanation:

For x=14:

2x-5=23

Add 5 on both sides

2x=28

x=14

For the equation to equal 14:

5x-1=14

Add one on both sides

5x=15

x=3

Answer:

uuhhhh  t=2/3n-2/3

Step-by-step explanation:

Therefore, the sine of any angle can also only be between -1 and 1, inclusive.

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.

Lines (line segments) and points make up the forms we perceive (vertices). To create a shape, these line segments are connected at their vertices. These lines' sides are what they are known as. The line segment that connects two vertices of a form or two-dimensional object is referred to as a side in geometry.

The sine of an angle can never be greater than 1 because the sine function maps an angle to the y-coordinate of the point on the unit circle that corresponds to that angle. The y-coordinate of any point on the unit circle is always between -1 and 1, inclusive. Therefore, the sine of any angle can also only be between -1 and 1, inclusive.

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Answer:

Step-by-step explanation:

You have three segments totaling 82 cm, with the first being 4/9 of the second, and the third being 16 cm more than the second.

We can describe the relationship by the equations ...

  a + b + c = 82

  a = 4/9b

  c = b +16

The equations give each segment in terms of the second one, so we can substitute those relations into the sum:

  (4/9b) +b +(b +16) = 82

  22/9b = 66

  b = 66(9/22) = 27

  a = (4/9)(27) = 12

  c = 27 +16 = 43

The first segment is 12 cm; the second is 27 cm; and the third is 43 cm.

__

Additional comment

We used an ad hoc solution based on the observation that segments 'a' and 'c' were defined in terms of 'b'. We could write the equations as a system of 3 linear equations in 3 unknowns, and solve using matrix methods:

The solution is shown in the attachment: a=12, b=27, c=43.

Answer:  The answer that I got was J.

Answer:

i wish i could help im sorry

Step-by-step explanation:

im

not

ok

Answer:

B

Step-by-step explanation:

y-intercept is positive 5 so that eliminates answer choices A and C

to decide between B and D, select a point in the solution area; for example, (0, 0). Plug these values into B and D and see which one it is true for

B)  0 ≥ -3(0)-5

Is 0 ≥ -5  Yes

D) 0 ≤ -3(0)-5

Is 0 ≤ -5  No

Answer:

y ≤ –3x + 5

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

7.5y = 30

y = 4

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

[tex]13.7y=6.2y+30[/tex]

[tex]13.7y−6.2y=30[/tex]

[tex]7.5y=30[/tex]

[tex]y = \frac{30}{7.5} [/tex]

[tex]y = 4[/tex]

Answer:

c) 16 cm²

Step-by-step explanation:

Given information,

→ Base = 4 cm

→ Height = 8 cm

Area of triangle formula,

→ Area = ½ × b × h

Now the area of triangle is,

→ ½ × b × h

→ ½ × 4 × 8

→ 2 × 8

→ 16 cm²

Hence, the area is 16 cm².

Answer:

30 cm

Step-by-step explanation:

For perimeter you just need to add all the outer sides.

6+6.5+4+4+9.5

Evaluate that and you get 30.

That's your answer.

(Remember perimeter is the value AROUND the figure.)

Answer:

Step-by-step explanation:

so in group 1 out of 12 rolls u landed on 4 four times

in group 2 out of 3 rolls u landed on it 1 time

in group 3 u landed on it 1 time

and in group 4 (i assume) u landed on it 1 time

add the denominators

so  7/35 which simplified is 1/5

The term Euler's number (e) refers to a mathematical expression for the base of the natural logarithm. This is represented by a non-repeating number that never ends.

The first few digits of Euler's number are 2.71828.

Given log(base_12)1728,

where base = 12

1728 = x

Factor out 1728 to 12^3 to apply the logarithmic rule, log(base_b)b^n = n

This gives you:

log(base_12)(12^3) = 3

The base 12 and the value of x = 12 cancels out, leaving you with 3.

To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

To find which expression is equivalent to log₅32:

Law of logarithms:

The law of logarithms states that: log(a) b = log(10)b/log(10)a

Given the log function, which is written as log₅32

a = 5

b = 32

Substitute as: log₅32 = log32/log5

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The true inequalities are:

5/6 > 4/6

3/8< 5/8

2/3 > 1/3

The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.

The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.

5/6 > 4/6

0.833 > 0.667

so, this inequality is true.

3/8 < 5/8

0.375 < 0.625

so, this inequality is true.

4/5 < 2/5

0.8 < 0.4

so, this inequality is false.

4/7 > 6/7

0.571 > 0.857

so, this inequality is false.

2/3 > 1/3

0.667 > 0.333

so, this inequality is true.

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x² + 6x + 9, this is a perfect square trinomial, which is expressed as

(x + 3)².

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Given that,

x² + 6x + 9

= (x)² + 2(3x) + 9

= (x)² + 2(x)(3) + 3²

This is similar to a² + 2ab + b² = (a + b)²

so, we can write:

= (x + 3)²

= (x +3) (x + 3)

so, this is a perfect square trinomial.

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Answer:

The plumber would earn $190 in 5 hrs and 30 mins

Step-by-step explanation:

- We know the plumber worked from 2:30-8:00 which is 5 hrs and 30 min [5.5 hrs]

- We know the plumber charges the client $80 for the call and $20/hr for the work

1. I multiplied $20 x 5.5= $110+80=$190

or you could just do 100 x 5.5 [but it would it work since the plumber is charging per hour]

Have a great day, hope this helped <3

Answer: 1:3

Step-by-step explanation:

I'd say 1:3 but I could be wrong

Answer: For the linear relationship in A, the y-intercept is the point where the line crosses the y-axis. This point represents the starting balance on Ailee's gift card before she makes any purchases.

The y-intercept of this linear relationship is the point (0, 20), which represents the fact that Ailee's gift card has a starting balance of $20 before she makes any purchases.

For the linear relationship in B, the y-intercept is the point where the line crosses the y-axis. This point represents Duncan's starting elevation before he begins to hike.

The y-intercept of this linear relationship is the point (0, 1000), which represents the fact that Duncan starts his hike at an elevation of 1000 feet.

Step-by-step explanation:

10,000 randomly chosen registered users receive an email survey from the company. The survey findings are most susceptible to nonresponse bias.

A news website sends an email survey to 10,000 randomly chosen registered users in order to learn which other websites its readers visit for their technology news. The most common sort of bias that the survey results are vulnerable to is nonresponse bias. Because convenience sampling, which many researchers engage in, frequently leads to undercoverage bias in survey research, it is a widespread problem.

Coverage bias, like many other potential problems in survey research and data gathering in general, can significantly change your survey results and compromise the integrity of your research. This phrase describes the several circumstances and biases that may affect survey results. Regardless of whether the bias was deliberate or unintentional, erroneous survey results make the information less helpful.

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Answer:

−56

Step-by-step explanation:

Perform addition

[tex]- 14 - 38x + 14 -28x - 28x[/tex]