Billy kicks a soccer ball off the ground after taking a quick running start. The graph below shows the height of the ball. What do(es) the solution(s) to the function represent?

Answer:

Step-by-step explanation:

Answer:

[tex]\huge\boxed{y=\dfrac{4}{3}x-1}[/tex]

Step-by-step explanation:

Let

[tex]k:y=m_1x+b_1\\l:y=m_2x+b_2[/tex]

then

[tex]k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

==========================================

We have:

[tex]y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}[/tex]

Let

[tex]y=m_2x+b_2[/tex]

Therefore

[tex]m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2[/tex]

Substitute

[tex](0,\ -1)\to x=0;\ y=-1[/tex]

[tex]-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1[/tex]

The classification of a polygon is described on the basis of the number of sides and vertices of these objects using polygons. It appears to be because the sides and angles appear to be congruent.

The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.

The outside of one of these objects uses polygons, The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.

A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides. However, a polygon is considered regular when each of its sides measures equal in length.

A minimum of three line segments is needed to draw any closed figure. The corners or points where two line segments meet each other are known as the vertex of a polygon.

The classification of a polygon is described on the basis of its number of sides and vertices.

For example, a polygon of three sides and three angles is known as a triangle whereas a polygon of four sides and four angles is known as a quadrilateral.

A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides.

However, a polygon is considered regular when each of its sides measures equal in length.

The lengths of each side of a regular hexagon are equal.

The angles of each side of a regular hexagon are equal.

Hence, The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.

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Answer:

6, hexagon, and regular

Step-by-step explanation:

The object has  6 sides, so it is a hexagon

It appears to be regular because the sides and angles appear to be congruent.

[tex]a(n) = ({n + 1})^{2} - 1[/tex]

Answer:

25/4

Step-by-step explanation:

7 can also be 7/1. Now you have 7/1-3/4. Multiply the denomiator to make them the same so you can subtract. 1*4=4 and 7*4= 28. Now you have 28/4-3/4. Subtract the numerators. 28-3=25. Your answer is 25/4. (6.25 if you need it in decimal form)

Answer: {(2,-2), (1,5), (-2,2), (1,-3), (8,-1)}, and {(3,-1), (7,1), (-6,-1), (9,1), (2,-1)

Step-by-step explanation: In order for a given relation to be a function, there can only be 1 x-value that can repeat. The y-values on the other hand can repeat an infinite amount of times. In the last 2 relations, you have (-2,-5), (-2,9) and (-3,1), (-3,2), and (-3,-3). You can also graph these relations and do a vertical line test with your pencil drawing a straight line downward and you'll notice that you will touch the graph more than 1 time. The first 2 relations if you were to graph them and do a vertical line test by using a pencil or pen, you'll notice that you will touch the graph once which shows you that you have a relation that is indeed a function.

Hope this explanation helps.

Answer:

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

Answer:

Step-by-step explanation:

Using DMAS, let's solve.

Conclusion:

Therefore, the answer is:

Hoped this helped.

[tex]GeniusUser[/tex]

its a ratio i think .......

Answer:

A. 5(y+3) = 5(3+y)

Step-by-step explanation:

Answer:

RATE

Step-by-step explanation:

Answer:

A. Rate

Step-by-step explanation:

A rate is an example of comparing two different units of measure. For example, miles per hour is a rate because it compares miles, which is a unit of distance, to hours, which is a unit of time.

Hope this helps.

Answer:

Step-by-step explanation:

[tex]19+c = 4\\\\\implies c = 4-19 = -15[/tex]

Answer:

Step-by-step explanation:

Given system:

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

The matching graph is the second picture (or attached below) and there is no solution.

From the given inequalities we have boundaries (0, -1) and (0, 2). Therefore, option B is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given system of inequalities are y ≥ 2x + 1 and y ≤ 2x – 2.

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

Therefore, option B is the correct answer.

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Answer:

966

Step-by-step explanation:

180% is written as 1.80 as a decimal. You can multiply this by 345 to get the profit he made, and to find the total selling price, add the profit (1.80x345) to the original price (345)

The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

The product is given as:

[tex](s^2+5s)(s^3+4s^2)[/tex]

Rewrite as:

[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]

Expand the expression on the right-hand side

[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]

Distribute the expressions

[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]

Evaluate like terms

[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]

Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

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Answer:

200.4002 pounds

Step-by-step explanation:

Answer:

The answer is 200.4002

If you have to round to the nearest thousandth then it is 200.400

If you have to round to the nearest hundredth then it is 200.40

If you have to round to the nearest tenth then it is 200.4

[tex] \frac{7}{20} \times 100 = \\ [/tex]

[tex] \frac{20 \times 5 \times 7}{20} = \\ [/tex]

[tex]5 \times 7[/tex]

[tex] 35 \: \: percent[/tex]

_____________________________________________

Suppose that number is x thus twice a number means :

[tex]2 \times x[/tex]

Plus 6 :

[tex]2x + 6[/tex]

Gives a result 28 :

[tex]2x + 6 = 28[/tex]

_____________________________________________

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If you filled out the chart fully:

a = 4

b = 7

c = 6

d = 9

e = 17

Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:

7:10

There is a greater chance of picking a boy than a girl where there is three more boys than girls.

Answer:

2^2×20

Step-by-step explanation:

2^2×20

because 2×20=40

so, 2^2×20=2^40

The Following are the representation of [tex]2^{40[/tex] as a power in different bases

a) [tex]2^{ 2 * 20}[/tex]

b) [tex]2^{ 5 * 8}[/tex]

c) [tex]2^{ 8 * 5}[/tex]

d) [tex]2^{ 10 * 2}[/tex]

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

[tex]2^{40[/tex] as a power

so, writing the above in given bases

a) 2²

= [tex]2^{ 2 * 20}[/tex]

= [tex]2^{40[/tex]

b)[tex]2^5[/tex]

= [tex]2^{ 5 * 8}[/tex]

= [tex]2^{40[/tex]

c) [tex]2^8[/tex]

= [tex]2^{ 8 * 5}[/tex]

= [tex]2^{40[/tex]

d) [tex]2^{10[/tex]

= [tex]2^{ 10 * 2}[/tex]

= [tex]2^{40[/tex]

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3x-11=2x+11

x=22

3x-11=55

2x+11=55

55+55+2y=180

2y=70

y=35

x=22 , y=35

Answer:

126

Step-by-step explanation:

14 = 2 * 7

18 = 2 * 3 * 3

Take any factors they both have and use that number only once (2)

Then multiply together: 2 * 7 * 3 * 3 = 126

Since

14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,

we have

14₁₀ = 24₅

Answer:

18 × 4 is 72...

so.. the area of rectangle is 72inches²

Step-by-step explanation:

to find the area of rectangle is Lenght multiple with its Width

Answer:

a) 3/16

b) 8/7

Step-by-step explanation:

i think the idea there was just simplifying the fractions.

Answer:

14

Step-by-step explanation:

so the hypotenuse for both triangles is 19.use Pythagoras theorem to get the base of both triangles as 8.5cm each.add the two bases and get 17.minus 17 from 31 to get 14cm as the remaining part

Answer:

(1,49) (4,109)

109-49/4-1=60/3=20

49=20×1+b

29=b

f(c)=20h+29

Answer:

X = 80°

Step-by-step explanation:

it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18

this means the two bottom angles are the same so the other would also be 50°

Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle

Answer:

x = 18

Step-by-step explanation:

difference between y = 12, x=72 is 6

so if y = 3 then multiply 3×6 = 18

Answer:

18

Step-by-step explanation:

Answer:

3 people.

Step-by-step explanation:

493÷7=70 with 3 remaining.

Answer:

5%

Step-by-step explanation:

So far, the experiment is done 53 times

Out of the 53 times, an apple chew was selected 46 times

To do this problem, you will do #of times apple chew was selected/ #of times experiment was done to get the probability (46/53) which will give you 5.11 or 5% (rounded as a whole number)