The arch of a bridge forms a parabola with the function \displaystyle f(x)=-0.05(x-30)^{2}+45f(x)=−0.05(x−30) 2 +45 where x is the horizontal distance (in meters) from the arch's left end and y is the height (in meters) above the road. How many meters high is the arch at its highest point?

Answer:

the answer is 20 and 200 :)

Step-by-step explanation:

Numbers of water bottles will the company's profit equal $0 is

: (x =40),  (x = 5)

The roots of equation are the values of the variable that satisfy the equation.

Given,

P(x) = -0.005(x + 40) (x – 20) (x - 200)(x + 5)

P(x) = 0.005(x - 40) (x + 20) (x + 200)(x - 5)

According to question,

P(x) = 0

So (x - 40) (x + 20) (x + 200)(x - 5) = 0

(x =40) ,(x =-20), (x = -200), (x = 5)

Negative values cannot be taking,

So numbers of water bottles will the company's profit equal $0 is

: (x =40),  (x = 5)

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Answer:

x1= -4/3, x2= 1, x3= 3

Step-by-step explanation:

Answer:

g(x)-10x

Step-by-step explanation:

g(x)=– 2(3x + 4)(x - 1)(x – 3)

Times two by all in parentheses

g(x)=(-6x-8)(-2x+2)(-2x+6)

Add all common denominators

g(x)=-10x+0

Which leaves us with our answer.

g(x)=-10x

If this was helpful please mark brainliest

Answer:     170,100 divided by 15=11,340

Step-by-step explanation:

Mercury will travel 446.25 miles in 15 seconds as it revolves around the Sun.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have given that Mercury travels about 107,100 miles per hour as it revolves around the Sun.

Miles travelled in 1h = 107,100

Miles travelled in 1 sec = 107,100 /3600

= 29.75

Miles travelled in 15 seconds = 29.75 × 15

= 446.25 miles

Therefore, Mercury will travel 446.25 miles in 15 seconds as it revolves around the Sun.

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hi there! the y-intercept in the function is...

3 + 3x/2

hope this helped. have a good one!

Answer:

x  = - y-12/5+4k

Step-by-step explanation:

Solve 12-5x-4kx=y for x

12-5x-4kx  =  y for x

substract 12 from both side

   -5x-4kx  =  y-12

Factor of -5x-4kx = -x(5+4k)

   -x(5+4k) =  y-12

Solve for x

             -x =  y-12/(5+4k)

Therefore x = - y-12/5+4k

Answer:

x/8

Step-by-step explanation:

Answer:

C: f(x) = x2 – 10x + 21

Answer:

Answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just take the test

Answer:

The answer is D

Answer:

$6

Step-by-step explanation:

Each pack is $3

So therefore if you multiply 2($3) it is $6 for two packs

Answer:

Step-by-step explanation:

exponential equation has the same base on each side, the exponents must be equal. This also applies when the exponents are algebraic expressions. Therefore, we can solve many exponential equations by using the rules of exponents to rewrite each side as a power with the same base. Then we use the fact that exponential functions are one-to-one to set the exponents equal to one another and solve for the unknown.

Answer:

79.74

Step-by-step explanation:

Multiply 6 by 12 and that by 2:

(6 × 12) × 2 - (6 × 6) = 72 × 2 - 36= 144 - 36 = 108

That will be the equation for the shaded area besides the circle now lets calculate the circle and take it away from the equation. the circle's diameter is 6 so the radius should be 3, then use:

3 × 3 × 3.14 = 9 × 3.14 = 28.26

Then do this:

108 - 28.26 = 79.74

There you have it!

Answer:

[tex]\boxed {a_{24} = - 70}[/tex]

Step-by-step explanation:

According to the following pattern sequence ([tex]-1, -4, -7, -10[/tex] ), it is Arithmetic Sequence, because every negative number is subtracted by [tex]3[/tex]. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

[tex]a_{n} = a_{1} + (n - 1) d[/tex]

[tex]a_{n}[/tex]: nth term in the sequence

[tex]a_{1}[/tex]: 1st term

[tex]n[/tex]: term position

[tex]d[/tex]: Common difference

-Apply to the formula:

[tex]a_{24} = -1 - 3 (24 - 1)[/tex]

[tex]a_{n} = a_{24}[/tex]

[tex]a_{1} = -1[/tex]

[tex]n = 24[/tex]

[tex]d = -3[/tex]

-Solve:

[tex]a_{24} = -1 - 3 (24 - 1)[/tex]

[tex]a_{24} = -1 - 3 (23)[/tex]

[tex]a_{24} = -1 - 69[/tex]

[tex]\boxed {a_{24} = - 70}[/tex]

Therefore, the 24th term is [tex]-70[/tex].

Answer:

The volume of the box is 200

Step-by-step explanation:

Answer:

I believe the answer is 200 cubic inches.

Step-by-step explanation:

Multiply 5 times 5 since it's a square base then multiply that by the height (8).

Answer:

No.

Step-by-step explanation:

They do not create a triangle because if you follow the expression: a^2+b^2=c^2 it does not equal. Hope I helped :)

Answer:

a^2 + b^2 = c^2  - Pythagorean Theorem

6^2 + 10^2 = 15^2

36 + 100 = 225

136 doesn't equal 225

So, no, the sides lengths don't make a triangle.

Answer:

I think it's A. multiply the denominator by the whole number the add the numerator to the number you got. that would give you 15/4 since it's an improper fraction see how many groups of 2 is in 15 which would give you 7.

Answer:

B:

Step-by-step explanation:

Answer: Angles that have different sums .

Step-by-step explanation: Complementary angles are two angles with a sum of 90º. Supplementary angles are two angles with a sum of 180º. Vertical angles are two angles whose sides form two pairs of opposite rays.

Answer:

Quadratic polynomial function

Step-by-step explanation:

Hope This Hels!

Plz Mark Brainliest!

Answer:

90°

Step-by-step explanation:

Since they are vertical angles, they equal eachother

4x+15=5x-5

add the 5 to both sides

4x+19=5x

subtract the 4x from both sides

x=19

Then you have to plug in 19 to find the measure of ZA

4(19)+14

76+14

90

Answer:

The equation in slope intercept form is y = x - 11

Answer:

the third graph

Step-by-step explanation:

its the only one that has a y intercept of 3 and if you plug in each of the values of x it is correct

Answer:

n=49

Step-by-step explanation:

Answer:

x < 5

Step-by-step explanation:

2x < 10

x < 5

I hope this helped!

Required solution set is x < 5.

What is inequality?

In mathematics, an inequality is a relationship that compares two numbers or other mathematical expressions unequally.[1] It is most often used to compare two numbers by their size. Several different notations are used to denote different types of inequality:

The notation a < b means that a is less than b.

Notation a > b means that a is greater than b.

In both cases, a is not equal to b. These relationships are known as strict inequalities,meaning that a is strictly less than or strictly greater than b. Equivalence is excluded.

Unlike strict inequalities, there are two types of inequalities that are not strict:

The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or equivalently at most b or not greater than b).

The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or equivalently at least b or not less than b).

A ratio that is not greater than can also be represented as a ≯ b, with the "greater than" symbol separated by a slash "not". The same is also true for no less than and a ≮ b.

The notation a ≠ b means that a is not equal to b; this difference is sometimes considered a form of strict inequality.It does not say that one is greater than the other; it does not even require that a and b be members of an ordered set.

Here given,[tex]2x < 10[/tex]

We want to find solution set of 2x < 10

Now,2x < 10

First we are dividing both side by 2 and get,

[tex] \frac{2x}{2} < \frac{10}{2} \\ x < 5[/tex]

Therefore,required solution is x < 5.

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Answer: answer is 2

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

y=5/4

Step-by-step explanation:

Solve for  y  by simplifying both sides of the equation, then isolating the variable.

9514 1404 393

Answer:

  y = -2/3x +3

Step-by-step explanation:

The graph drops 2 grid squares for each 3 to the right, so its slope is -2/3. The line crosses the y-axis at y=3, so that is the y-intercept.

In slope-intercept form the equation of the line is ...

  y = -2/3x +3

Answer:

organaelles can i have brainlyest?

ik i didnt spell right

Step-by-step explanation: