The equation of the cables for a suspension bridge is modeled by the equation
y-48 = 0.0025x2, in feet. How far is the lowest point of the cables above the bridge?
The lowest point of the cables is
feet above the bridge.

Answers

Answer 1

The lowest point of the cables above the bridge is 48 feet above the bridge.

The statement give us a parabola equation in standard form, the vertical distance of the lowest point above the bridge is determined by the y-coordinate of the vertex. Hence, the lowest point of the cables above the bridge is 48 feet above the bridge.

We kindly invite to check this question on parabolae: https://brainly.com/question/8495869


Related Questions

guys pls help me!!!!!!

Answers

Answer:

[tex]x = 67[/tex]

Step-by-step explanation:

[tex]x = 67[/tex]

[tex]Alternate \:Intrerior \: Angles[/tex]

I need help with my math homework
2/3x+17≥29

Answers

Answer:

x ≥ 18

Step-by-step explanation:

Given the inequality statement, 2/3x + 17 ≥ 29,

Subtract both sides by 17:

2/3x + 17 - 17 ≥ 29 - 17

2/3x  ≥ 12

Multiply both sides by 3/2 to isolate x:

[tex](\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})[/tex]

x ≥ 18

show that P(x)=x³-6x²+11x-6 is divisible by x-1.​

Answers

HERE IS YOUR ANSWER MATE

HOPE ITS HELPFUL

HAVE A GREAT FUTURE

LOVE FROM INDIA

Hello haohaoxNienie!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]

To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

So, let's do the division (steps in the attached picture).

__________________

We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

More steps :-

x² - 5x + 6

= (x - 3) (x - 2) [use the splitting the middle term method].

So, the zeroes are,

(x - 3)

x - 3 = 0

x = 3 ⇨ 1st zero.

(x - 2)

x - 2 = 0

x = 2 ⇨ 2nd zero.

Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

p(x) = x³ - 6x² + 11x - 6

p(3) = 3³ - 6(3)² + 11 (3) - 6

p(3) = 27 - 54 + 33 - 6

p(3) = 0.

p(x) = x³ - 6x² + 11x - 6

p(2) = 2³ - 6(2)² + 11 (2) - 6

p(2) = 8 - 24 + 22 - 6

p(2) = 0

Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

Hope it'll help you!

ℓu¢αzz ッ


Your last 4 test scores are 65, 70, 80 and
70. If you want to finish with a 74
average, what do you need to get on your
fifth test?

Answers

Answer:

Step-by-step explanation:

74*5 = 370

370 - 65 - 70 -70 -80 = 85

So. you need to get 85 on your fifth test.

20% of the tickets sold at a water park were child tickets. If the park sold 50 tickets in all,
how many child tickets did it sell?
tickets

Answers

Answer:

= 10 tickets

Step-by-step explanation:

= 20% × 50

= 20/100 × 50

= 1000/100

= 10

I need help ASAP!!! (please look at the image and explain how you got the answer, please and thanks)

Answers

Answer:

114

Step-by-step explanation:

so lets call shelf 1 x

shelf 2 is twice size + 18 of shelf 1 so it is 2(x)+18

shelf 3 is 12 less than shelf 1 so x-12

shelf 4 is four more so x+4

Add them all together and it should be 5x+10= 2.5 m or 250 cm

Solve for x using cm

then plug into shelf 2 equation

10 greater than less than, or equal to 5? Explain ​

Answers

Answer:

greater than because 10 is further to the right on a numberline than 5

Step-by-step explanation:

Solve the equation x2-81 = 0.

Answers

Answer:

40.5

Step-by-step explanation:

x2 - 81 = 0 --> + 81 to both sides

2x = 81 --> divide by 2 on both sides

x = 40.5

Answer:

2x-81=0

2x=0+81

2x=81

x=81

2

x=40.5 ANSWER.

MARK ME AS A BRAINLIST PLZ.

A bottle of grape juice costs 6.50$ of you buy 6 bottles you can get 10%discount workout how much you save if you buy 6 bottles

Answers

$6.50 x 6 = $39 but buying six hives a 10% discount which would be $3.90 OFF
$39-3.90= $35.10
Your answer is you save $3.90 by buying six bottles

Simplify each of the following:
a. √5+2√6 + √5-2√6
b.(√p^2+1 - √p^2-1) (√p^2-1 + √p^2+1)

Answers

2√5 exact form

4.47213595 decimal form

3 ft
10 ft
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = 3 × 10 = 30

The perimeter = 2(3 + 10) = 26

please give me a brainliest answer

find the sum of 5(−3.4k−7)+(3k+21) I AM SO CONFUSED!!!!!

Answers

Answer:

Your answer is   -14k - 14   or     k = -1

Step-by-step explanation:

-17k - 35 + 3k + 21   ( Combine like terms )

-14k - 14

-14k = 14

k = -1

Hope this helps!

When using empirical data (data and information collected by scientists in an experiment), sometimes, that data will not form a perfect line on a graph. When this happens, the line that is created using a linear regression is known as the “Line of Best Fit.” The following speed data was collected from a car moving with a constant acceleration.

Time (s) Velocity (m/s)
2 13.1
4 19.8
6 28.1
8 34.6
What is the Line of Best Fit for this data? Perform a linear Regression on this table to find the equation.

Based on your equation, what was the car’s approximate initial velocity (at time=0)?

If the car continued at the same acceleration (meaning the slope of the line does not change), how fast would it be going in 15 seconds?

Answers

Answer:

98.25

Step-by-step explanation:

What is 45% of 345? Please help me I’m failing math

Answers

Answer:

155.25

Step-by-step explanation:

Answer:

155.25

Step-by-step explanation:

Since 45% is equal to 0.45, simply multiply 0.45 x 345 and youll get 155.25

If 40 meters of a cloth costs Rs 1940 how many meters can be bought for Rs 727.5




Plz explain

Answers

Answer:

15

Step-by-step explanation:

suppose x is the no. of cloth that can be bought in rs 727.5

then cost of 1meter cloth is rs 727.5×.....(i)

and cost of 40mtr cloth is rs 1940

then 1mtr cloth is 1940/40....(ii)

so from i and ii

we get

727.5/x = 1940/40

i think this is easy for yall but nor for me lol need help

Answers

Answer:

x = 14

Step-by-step explanation:

So because the sides are equal, that means that the angles are equal.

5x = 3x + 28

Step 1.) Subtract 3x from 5x which leaves you with 2x.

2x = 28

Step 2.) Divide 28 by 2, to get the variable on its own. This leaves you with 14

x = 14

an artist spent 3/5 of an hour painting 1/4 of a mural. how kuch of the mural will be completed in one hour how long will it take to complete one mural

Answers

Answer:

2.4hrs or 2hrs 24 minutes

Step-by-step explanation:

3/5 × 4/1 = 12/5

60÷5=12

12×12=144

144÷60=2.4hrs

EMMA CHNAGED £500 INTO RAND BEFORE GOING ON HOLIDY TO SOUTH AFRICA THE RATE OF EXCHANGE AT THE TIME WAS £1=10-RAND.HOW MANY RAND DID HE GET FOR HIS £500?

Answers

Answer:

he got 5000 rands for it

Step-by-step explanation:

you multiply it

500 x 10 = 5000

Molly has 3 pounds of blueberries. She is freezing the berries into 1 half pound portions. How many smaller portions of blueberries will Molly make

Answers

6 smaller portions because 3 x 2=6

Answer:

6 smaller portions

Step-by-step explanation:

1 pound (lb) = 16 ounces (oz)

3 lbs = 48 oz

1/2lb = 8oz

48oz (total)/8oz (amount in each portion) = 6 portions

the profit per gallon of lemonade you sell is 5.00. you have enough supplies to make 12 gallons of lemonade describe the domain and range using inequalities

Answers

Answer:

5/12 is your answer

=^-^=

What is the answer to 11(3x + 5y)

Answers

Answer:

33x + 55y

Step-by-step explanation:

1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.

[tex]11(3x+5y)[/tex] [tex](11)(3x)+(11)(5y)[/tex] [tex]33x + 55y[/tex]

Therefore, the answer is 33x + 55y.

Distribute 11 to 3x and 5y
33x+55y


- How are the functions y = x and y = x + 4 related? How are their graphs related?

Answers

Answer:

Either horizontal translation 4 units to the left or vertical translation UP 4 units

Step-by-step explanation:

HELP
In order to isolate the variable term in the equation 6 -2x = -3 using the subtraction property of equality, which number
should be subtracted from both sides of the equation?
-3
3
6
-2

Answers

6 should be subtracted from both sides of the equation if you want to isolate variable term

What are the values of v and w ?

Answers

Answer:

V = 72 & W = 72

Step-by-step explanation:

All angles of a triangle will be equivalent to 180 degrees.

We start by subtracting first.

180 - 36 = 144

Look back at the triangle. FG and HG are congruent, which means the values of V and W will be the same.

The last step is to divide.

144 / 2 = 72

V = 72 & W = 72

When Zack checked his solution, it didn’t work. What was his mistake?
In step 1, he should have used the multiplication property of equality.
In step 2, he should have a constant of – 4 on the right side.
In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
In step 4, the answer should be positive.

Answers

Answer: its c In step 3, he should have divided both sides by  StartFraction 6 Over 4 Endfraction.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Solve:
4x + 1.21 > 5
HELP ME PLEASE

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x > 0.9475[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x + 1.21 > 5\\\rule{150}{0.5}\\\rightarrow 4x + 1.21 - 1.21 > 5 - 1.21\\\\\rightarrow 4x > 3.79\\\\\rightarrow \frac{4x>3.79}4}\\\\\rightarrow \boxed{x > 0.9475}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The functions j(x)=x−1 and k(x)=3x+1 intersect at:
A. Infinitely many points
B. 2 points
C. 1 point
D. There are no intersection points

Answers

Answer:

C

Step-by-step explanation: for j(x) = k(x)

My English is not good, please forgive me

PLEASE HELP WILL MARK BRAINLIEST!

Answers

Answer:

P of rectangle = 2(L + W)

21 units = 2(n units + W)

21 units = 2nunits + 2W

21 = 2n + 2W

2W = 21 - 2n

W = 21 - 2n units.

2

on simplifying

10.5 - n units

The width of the rectangle is units (10.5 - n) units.

Is the statement “The absolute value of a number is always greater than its opposite” true?

Answers

Answer:

No; the absolute value of a negative number is equal to its opposite

Step-by-step explanation:

What is -(x + 4) - 3x = x in Distributive property?

Answers

Answer:

x = -4/5

Step-by-step explanation:

Original equation: -(x+4)-3x=x

Remember distributive property allows us to get rid of the parenthesis by bringing a multiplication from outside to inside a parenthesis.

-(x+4) = -x-4

= -x-4-3x=x

Now we combine like terms in this case we have (-x) and (-3x)

= -4x-4=x

Subtract x from both sides

= -4x-4=x

  -x      -x

----------------

 -5x-4=0

Add 4 to both sides

-5x-4=0

    +4 +4

---------------

-5x=4

Our final step is to divide both sides by -5

-5x=4

----  ----

-5    -5

x = -4/5

Hope this helps!!!

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