The quadratic function y = -x2 + 10x - 8 models the height of a trestle on a bridge. The x-axis represents ground level.
To find where the section of the bridge meets ground level, solve 0 = -x2 + 10x - 8.
Where does this section of the bridge meet ground level?

Answers

Answer 1

Answer: 0.876, 9.123

Step-by-step explanation:

The function is [tex]y=-x^2+10-8[/tex]

It meets the ground level when [tex]y[/tex] is 0

[tex]\Rightarrow -x^2+10x-8=0\\\Rightarrow x^2-10x+8=0\\\\\Rightarrow x=\dfrac{10\pm \sqrt{(-10)^2-4(1)(8)}}{2}\\\\\Rightarrow x=\dfrac{10\pm \sqrt{68}}{2}\\\\\Rightarrow x=5\pm \sqrt{17}\\\Rightarrow x=0.876,\ 9.123[/tex]

Thus, it touches the ground at two points given above


Related Questions

(X+3)(3x^2+8x+9) multiply the polynomials

Answers

Answer:

3x^3+8x^2+9X+9X^2+24X+27=3X^3+17X^2++33X+27

Step-by-step explanation:

Answer:3x^3+8x^2+9X+9X^2+24X+27=3X^3+17X^2++33X+27

Step-by-step explanation:

The lines below are perpendicular. If the slope of the green line is 2/3, what is
the slope of the red line?

Answers

Answer:

1/3

Step-by-step explanation:

if green line is 2/3

and we are to find red line

we subtract the value of the green from the total ie. the denominator which is the sum of green and red line giving us the value of red line then you can determine its slope as well.

The net below has dimensions l = 14 feet, w = 7 feet, and h = 13 feet. How will the surface area of the figure change if the width decreases by 2 feet?

Answers

27 feet because is the equal


Anna's electricity bill costs $21.59 per month plus $4.66 per kilowatt hour. How many kilowatt hours can she use and keep
her bill to no more than $51?
Round your answer to a whole number

Answers

Answer:

6 kwh

Step-by-step explanation:

(51 - 21.9)/4.66 = 6.24 => 6 kwh

Solve the inequality: w - (14) < 8

Answers

[tex]w - (14) < 8 \\ = w < 8 + 14 \\ \\ w = < 22[/tex]

Step by Step Explanation:

Move the constant to the right - hand side and change its signThen add the numbers

☆彡Hanna

#CarryOnLearning

1. What do you call the likelihood of the occurrence of an event? A. experiment B. outcome C. probability D. -SUCcess​

Answers

Answer:

Probability call the likelihood of the occurrence of an event.

Step-by-step explanation:

No C

4 minutes is what fraction in a day

Answers

Answer:

4/1440 or 1/360

Step-by-step explanation:

A day has 24 hours and 60 minutes in each hour.

24 × 60 = 1440

I hope this helps.

Answer:

4/1440 or 1/360

Step-by-step explanation:

one day have 24hr .when we convert it to minutes,it becomes 1440minutes. so fraction of 4 min in a day us 4/1440 or in equavalent fraction 1/360.

The ordered pairs in the table below represent a linear function.

Answers

Answer:

2

Step-by-step explanation:

ordered pairs are

(2 , 3) = (x1 , y1)

(5 , 9) = (x2 , y2)

slope = y2 - y2 / x2 - x1

= 9 - 3 / 5 - 2

= 6 / 3

= 2

How to solve this math question

Answers

Answer:

x = 16

y = 5

Step-by-step explanation:

The three sides of an equilateral triangle are equal. Therefore:

3x + 1 = 49

Solve for x.

3x + 1 - 1 = 49 - 1

3x = 48

3x/3 = 48/3

x = 16

Also

18y - 41 = 49

Solve for y.

18y - 41 + 41 = 49 + 41

18y = 90

18y/18 = 90/18

y = 5

anyone one know the answer?

Answers

Whaaaaaaaaaaaaaaaaaaaa
Hmmmmm I see that’s a good question

Let X, Y, and Z be jointly continuous random variables. Assume that all conditional PDFS and expectations are well defined. E.g., when conditioning on X r, assume that x is such that fx (x)> 0. For the following formula, state whether it is true for all choices of the function g or false?

E[g(Y) | Y= x] = ∫g(y) fY| X(y|x) dy

Answers

Answer:

True

Step-by-step explanation:

Given that X,Y and Z are jointly continuous random variables

For : E [g(Y) | Y= x] = ∫g(y) fY| X ( y|x ) dy

For all choices of g the function is true given that g(y) = a random variable

A random variable is a variable with an unknown value it can be said to assign values to an experimental outcome.

CAN ANYONE SOLVE THIS PROBLEM??

Answers

Answer:

Step-by-step explanation:

The angle must be less than 180º

m∠FIE < 180

5x - 15 < 180

add 15 to both sides

5x < 195

Divide both sides by 5

x < 39

Therefor the first three choices are physically impossible

x = 21

Find the product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8

Answers

Product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8

= (1/2-3/4)×(-5/6+13/8)

= -1/4×19/24

= -19/96

Using mathematical notation this would be written:
(1/2 + -3/4) x |-5/6 - 13/8|
= -1/4 x 59/24
= -59/96

“Difference” is defined as the positive distance between the values on a number line, hence the absolute value brackets.
Eg the difference between 2 and 9 is 7
The difference between -2 and -8 is 6
The difference between-5 and 4 is 9

PLS HELP ASAP.!

THANK YOU, WILL MARK BRAINLIEST

Answers

Answer:

Explanation:

The volume of the triangular prism:

The base area of the prism = 1/2 x 4 x 6 = 12 ft2

Height = 6 ft

The volume of the triangular prism = 12 x 6 = 72 ft3

The volume of the rectangular prism:

The base area of the prism = 4 x 6 = 24 ft2

Height = 12 ft

The volume of the triangular prism = 12 x 24 = 288 ft3

Volume of the composite figure = (288 + 72)ft3 = 360 ft3

Step-by-step explanation:

PLEASE HELP
Find the probability of no successes in six trials of a binomial experiment in which the probability of success is 30%. Round to the nearest tenth of a percent [ ? ] %

Answers

Answer:

I hope this helps you quickly

Step-by-step explanation:

dwvrbrhrbrnk Frankenstein's 4h5wmye

pleaseeeee solve thissss pleaseeee

Answers

Answer:

a.) 15 feet

b.) 3.25 seconds

c.) 17.1125 feet

d.) 12.5 seconds

Step-by-step explanation:

a

This is just asking for the y intercept

to get this just do h(0)= 15

b

This is asking for the x value of the vertex

solve that through -b/2a

-1.3/(2*-.2)= 3.25

c

This is asking for the y value of the vertex

to solve this plug in the x value from b

-.2*3.25²+1.3*3.25+15= 17.1125

d

This is asking for an x intercept

using the quadratic formula...

[tex]\frac{-b(+-)\sqrt{b^2-4*a*c}}{2a}=\frac{-1.3(+-)\sqrt{1.3^2-4*-.2*15}}{2*-.2}= -6, 12.5[/tex]

*note the (+-) before the radical is ± *

logic will tell us that a negative x intercept doesn't make any sense so we only take the positive value, 12.5

simplify 3x times 4y

Answers

Hi! I’m pretty sure it would just be 12x or 12y because 3 x 4 is 12 and then you would just add the x or y. I hope this helped, Goodluck :)

Answer:

12[tex]x^{3}[/tex]y[tex]x^{4}[/tex]

Step-by-step explanation:

When you multiply numbers with variable terms, each term has to be multiplied by like terms.

3[tex]x^{2}[/tex]y× 4×y[tex]x^{3}[/tex]

Separate the terms.

3 · [tex]x^{2}[/tex] · y × 4 · x · [tex]y^{3}[/tex]

Group the like terms and then multiply them.

( 3 x 4 ) ([tex]x^{2}[/tex] x [tex]x[/tex]) ( [tex]y[/tex] x [tex]y^{3}[/tex])

12 · [tex]x^{3}[/tex] · [tex]y^{4}[/tex]

12[tex]x^{3}[/tex][tex]yx^{4}[/tex]

Hoped this helped :)

Plzzzzzzzzzzzzzzzzz help meeeeeeeeeeeeeeeeeee i do anything just help


Gamers: Two dollars for every game downloaded.
Game World: $15 per month and $0.50 per game downloaded.

a) How much money would it cost if you downloaded 6 games from Gamers? Show your work, using the equation c=2d, where c is the cost and d is the number of downloads.

b) Write an equation for the cost per month at Game World, using c for cost and d for downloads.

c) Which equation is represented in the graph below, Gamers or Game World? Justify your answer using mathematical reasoning.



d) If you plan on downloading 8 games per month, which would be the best plan to buy? Justify your answer using mathematical reasoning.

e) Justin has a membership to Gamers and he says his plan is better than Game World’s. Kenny, who has a membership to Game World, disagrees. Who is correct? Justify your answer using mathematical reasoning.

f) How many games would Justin and Kenny have to download to make the same monthly payment? How do you know?

Answers

Answer:

8

Step-by-step explanation:

Số tiếp theo (next number?): 25 50 99 196 388

Answers

Answer:

The correct answer is - 768.

Step-by-step explanation:

The given question is based on a specific pattern present in between the numbers in the given series -

Series = 25 50 99 196 388

to find - next number in series

let us find the relation between the initial two number:

25 - 50, here number 50 is two times of 25 or (x*2-0)

relation between 2nd and 3rd number:

50 - 99, here 99 is two times of 50 minus 1 or (x*2-1)

relation between 3rd and 4th number:

99 - 196, here 196 is two times of 99 minus 2 or (x*2-2)

relation between 4th and 5th number:

196 - 388, here 388 is the two times of 196 minus 4 or (x*2-4)

So on this pattern, the next number would be = x*2-8

388*2-8

= 768

pls help!!!
show your work!!!!
simplify the expression. ^4sqrt(64y^12z^16)

Answers

Answer: on the outside its 2y^3z^4 with the inside being 2

Step-by-step explanation:

The expression equals 2y^3z^4sqrt2

Answer:

2 square root 2 y^3 z^4 ( SEE IMAGE BELOW)

Step-by-step explanation:

Simplify the radical expression

2 square root 2 y^3 z^4

reduce the index of the radicel and expondent with 2

2 square root 2 y^3 z^4

Cierto individuo, al fallecer, repartió sus ahorros del siguiente modo; la mitad a
su esposa; el tercio a su único hijo; la décima parte a un sobrino, y dos millones
de nuevos soles a una beneficencia ¿cuánto poseía?

Answers

Answer:

El individuo poseía treinta millones.

Step-by-step explanation:                              

Podemos expresar la repartición del individuo como sigue:

[tex] x = \frac{x}{2} + \frac{x}{3} + \frac{x}{10} + 2000000 [/tex]

Dado que la suma de la repartición de la mitad que le da a su esposa (x/2), del tercio que le da a su único hijo (x/3), de la décima parte que le da a un sobrino (x/10) y de los dos millones que le da a una beneficiencia debe ser igual al monto incial que tenía (x).

Resolviendo la ecuación de arriba para "x" tenemos:

[tex] x - \frac{x}{2} - \frac{x}{3} - \frac{x}{10} = 2000000 [/tex]

[tex] x = 30000000 [/tex]

Por lo tanto, el individuo poseía treinta millones.

Espero que te sea de utilidad!                  

HELP PLSSS I CANT FAIL!!Which parent function is represented by the table?
ху
-22
-11
00
11
22
A. f(x) = |X|
B. f(x) = 2x
c. f(x) = x
D. f(x) = x2

Answers

Answer:

C. f(x)=|x|

Step-by-step explanation

Two straight lines denotes the mod which is a type of function which means it will always gives us a positive value (output) even on Nagative input, shown in the table, -2 2, -1 1, 0 0

For example,

|2|=2, |-2|=2

|1|=1

|-1|=1

The rectangular ground floor of a building has a perimeter of 780 ft. The length is 200 ft more than the width. Find the length and the width.
The length is ___ and the width is ___

Answers

Answer:

L = 295ft

W = 95ft

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

If the length is 200 ft more than the width, then:

L = 200+W

Substitute

P = 2(200+W+W)

780 = 2(200+2W)

780 = 400+4W

4W = 780-400

4w = 380

W = 380/4

W = 95ft

Since L = 200+w

L = 200+95

L = 295ft

3. What is the distance between -49 and 167?
a) -216 units
b) -118 units
c) 118 units
d) 216 units

Answers

Answer:

c) IS THE ANSWER

Step-by-step explanation:

Answer: C

Step by step explanation: ITS C

Write (y^4)^2 without exponents

Answers

Answer:

y*y*y*y*y*y*y*y

Step-by-step explanation:

(y^4)^2  =  y*y*y*y*y*y*y*y

Here the base (y) shows up as a multiplicand 8 times.  (y*y*y*y)(y*y*y*y) is equivalent.

Answer:

[tex](y^{4} )^{2}[/tex]

[tex]y^{8}[/tex]

seems like a strange question to make it

harder to read... but with no exponents it would look like this

y*y*y*y*y*y*y*y

Step-by-step explanation:

First,i would rewrite 3/4 as an equivalent fraction with a denominator of ____

The equivalent fraction is ____ Then, I would compare the equivalent fraction to 7/12\


PLEASE TELL ME THE ANSWERS IN THE BLANKS!!!

Answers

Answer:

denominator of 12 (first blank) making the numerator 9. equivalent fraction 9/12 (second blank)

Step-by-step explanation:

lowest common denominator is 12. make sure what you do to the denominator (4times3)= 12, you do to the numerator (3times3)=9

Answer:

The first blank is the denominator of 12 so the numerator is 9. Which makes the answer 9/12

Step-by-step explanation:

Hope this helps! :)>

Is 11/15 repeating? If not, how many places does it take to terminate?

Answers

Answer:

repeating due to the denominator

Step-by-step explanation:

11/15 = (11/5)×(1/3)

11/5 terminates after 1 place.

but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.

A cube has side length x.
another side is doubled. The volume
One side of the cube is increased by 4 inches, and
of the new rectangular prism is 450 cubic inches. The equation 2x3 + 8x2 450
can be used to find x. What was the
side length of the original cube? Use a graphing calculator and a system of equations to find the answer.
• 4 inches
• 5 inches
• 9 inches
• 10 inches

Answers

Step-by-step explanation:

The length of the original cube is 5 inches.

Which diagram represents the hypothesis of the converse of corresponding angles theorem?

Answers

Answer:

the first diagram

Step-by-step explanation:

first one

we had a pot of tea. i drank 3/8 of the tea. after my father drank 2/3 of the remainder, 100 ml of tea is left inside the pot. what is the proportion of the total amount of tea? write your answer as a fraction.​

Answers

Answer:29.16 ml  was left

Step-by-step explanation:

2/3-3/8=

16/23-9/24=

7/24x100/1=

then divide

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