Mrs. Hill went to get an oil change, because she has a 20% off coupon. F the oil change is $35.00, how much is the discount? In problem #1, how much does Mrs. Hill have to pay?

The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

Given that,

The height of a tennis ball tossed into the air is modeled by,

[tex]\rm h(x) = 40x - 16x^2[/tex]

Where x is elapsed time in seconds.

We have to determine,

During what time interval will the tennis ball be at least 15 feet above the ground?

According to the question,

The height of a tennis ball tossed into the air is modeled by,

[tex]\rm h(x) = 40x - 16x^2[/tex]

Where x is elapsed time in seconds.

Then,

When the tennis ball be at least 15 feet above the ground,

[tex]h(x) = 15[/tex]

Substitute the value of h(x) in the equation,

[tex]\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0[/tex]

Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,

[tex]\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45[/tex]

Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

For more details about Inequality refer to the link given below.

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28+29 = 57

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Explanation:

n = first number

n+1 = second number

Add up those two items and set the result equal to 57. Solve for n.

first+second = 57

(n) + (n+1) = 57

2n+1 = 57

2n = 57-1

2n = 56

n = 56/2

n = 28

n+1 = 28+1 = 29

The two consecutive whole numbers are 28 and 29

28+29 = 57

Answer:

28 and 29

Step-by-step explanation:

Given values:

1st number = n

2nd number = n+1

n + n + 1 = 57

2n + 1 = 57

2n = 56

n = 28

n+1 = 29

Answer: 28 and 29

If any doubt leave a comment

7 (5) + 1 = 35 + 1 = 36

So, f(5) = 36

Answer:2.25 m/s^2

Step-by-step explanation:

a = (v-u)/t = 27/12 = 2.25 m/s^2

Answer:

7(2x - 3y)

Step-by-step explanation:

Take out what they both have, put it on the outside.

Put the rest on the inside.

Answer:

7 (2 x - 3y)

Step-by-step explanation:

Answer:

Y= 3w-4.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Find your property line by visiting your local county recorder or assessor's office. You can access public maps of your street and locate your boundaries. Many counties also let you access property lines online. If your property is on platted land, you may be able to access the plat maps online.

Step-by-step explanation:

Answer:

y = [tex]-\frac{1}{2} x[/tex] [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

solved using point-slope form

points given: (-5, 2) and (5, -3)

slope: [tex]\frac{-3-2}{5-(-5)} =\frac{-5}{10} =-\frac{1}{2}[/tex]

y = [tex]-\frac{1}{2}[/tex] x + b

insert x- and y- values of (-5, 2) and solve for b

2 = [tex]-\frac{1}{2}[/tex] (-5) + b

2 = 2.5 + b

subtract 2.5 from both sides

2 - 2.5 = 2.5 + b - 2.5

-0.5 = b

insert b- value

y = [tex]-\frac{1}{2} x[/tex] [tex]-\frac{1}{2}[/tex]

Answer:

s= $5.25

Step-by-step explanation:

7-1.75=5.25

7=5.25+1.75

s=$5.25

Answer:

Question 1  Between 3 - 4 hrs

Question 2 Between 1 - 3 hrs

Question 3 Between 4 - 8 hrs

Question 4 Between 2 - 3 hrs

Question 5 Represents the starting position

Step-by-step explanation:

Answer:

y = 16/9x - 7 2/9

Step-by-step explanation:

lmk if you want an explanation

Answer:

[tex]2^{5}[/tex]

Step-by-step explanation:

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Then

32 = 2 × 2 × 2 × 2 × 2 = [tex]2^{5}[/tex]

Answer:

Step-by-step explanation:

2 1

Answer:

qr=68r/s

Step-by-step explanation:

rs=44

s=44/r

qs=68

q(44/r)=68

44q/r=68

44q=68r

q=68r/44

rs=44

r=44/s

qr=(68r/44)(44/s)=68r/s

Answer:

1 = 70

Step-by-step explanation:

The triangle is an isosceles.

Subtract the angle 40 from 180 (all angles in a triangle add up to 180

The bottom two angles are the same, so dividing the number given by 180 - 40 by 2

180 - 40 = 140

140 / 2 = 70

Answer:

[tex]\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}[/tex]

Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.

[tex]\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}[/tex]

A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.

Answer:

6.2

Step-by-step explanation:

Answer:

the answer is 5.25

Step-by-step explanation:

subtract the amount from the drink and should give you the cost of the sandwich

Answer:

I believe it to be 1000 cars. Please look at solution to check if I did it the way your problem wants you to do it.

Step-by-step explanation:

Since Chevy needs to make 5,000,000 in profits, earns 25,000 per car, and had invested 20,000,000, we can set an equation with x being the number of cars:

5,000,000 = 25,000x -20,000,000

Notice how 20,000,000 is negative. This is because chevy starts with a negative amount of money (as they just spent it) and are wanting to earn it back. Anyway, lets solve this.

25,000,000=25,000x

x=1,000

we can see that chevy needs to sell more than 1000 cars to make a profit, however I'm unsure of the 25,000 part. This answer is assuming that they make 25,000 profit for each car.

Answer:

[tex]\frac{59}{5}[/tex] or 11 [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

Arc Length = θ × (π/180) × r, where θ is in degree.

The Arc length of the given partial circle is 4π units or 12.56 units .

Step-by-step explanation:

Answer:

4π

Step-by-step explanation:

Hope this helps!

The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Given:

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

where,

n = number of terms

First term, a1 = 2

Second term, a2

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

a2 = {(2 - 1)/ 4} - 2

= 1/4 - 2

= (1-8) / 4

= - 7/4

Third term, a3

= {(3-1) / 4} - 2

= 2/4 - 2

= 1/2 - 2

= (1-4) / 2

= -3/2

Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Learn more about sequence:

https://brainly.com/question/6561461

Answer:

a1 = 2

a2 = -3/2

a3 = -19/8

Explanation:

a_n-1 means the last term.

So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2

It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8

Answer:

(2x-7)(x-3)

Step-by-step explanation:

[tex]-6y -31 =5\\\\\implies -6y = 5+31 = 36\\\\\implies y = -\dfrac{36}6 = -6[/tex]

Step-by-step explanation:

...........y=-6.........

Answer:

30$ is 15% of 200$

Step-by-step explanation:

To find how much percent Jennie spent let's first find how much one percent of $200 is.

∴200/100=2

so one percent of 200 is 2

now let's find how much percent 30$ is of 200$

∴30/2=15

meaning that 30$ is 15% of 200$