Solve for the variable. You may use the hangers to help you.

40 = 2f + 12
f
f
40
12

Answer:

A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Step-by-step explanation:

The shape of the quadratic equation representing the large cables is a parabola

Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;

h = -b/(2·a)

∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0

k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c

∴ c = 1.5

The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;

f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5

At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45

Therefore, we have;

45 = a·506² + 1.5

a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴

The quadratic equation for the large cables, f(x), can therefore be presented as follows;

[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Step-by-step explanation:

a. 2x+5

b. 3x+5

c. 5x+4

i hope it will help you

Answer:

f(x) = -100(1.05)^(x+5) + 50

Step-by-step explanation:

Here, we want to write an equation that represents the transformation

5 units right means 5 units on the positive x-axis

50 units up means we add this to the total y value

So the resulting equation will be;

f(x) = -100(1.05)^(x+5) + 50

Answer:

2x + 3y = -6

Step-by-step explanation:

The equation of the new line will be identical to that of the given line except that the constant term will differ.

Start with the given 2x + 3y = 3 and replace x with 3 and y with -4.  We get:

2(3) + 3(-4) = C, and C = 6 - 12 = -6

The equation of the new line is therefore 2x + 3y = -6

Answer:

0.25 Hope this helps :)

Step-by-step explanation:

You add the 5 red and 3 green

8 Mables besides blue

so that's 2/8

simplified 1/4

1/4=0.25

Answer:

13

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

;)

Answer:

B

Step-by-step explanation:

2.16/6 = 0.36 cents per 1 ounce

2.70/10 = 0.27 center per 1 ounce

Therefore B. 10 ounces of hot Cheetos for $2.70

Answer:

I think the Answer is ( B. No Lisa forgot the factor 4.)

Step-by-step explanation:

Answer:

a y a r d = a 2 y r d a y a r d = a 2 y r d

Step-by-step explanation:

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

Answer:

Workers in San Diego = 260 workers

Step-by-step explanation:

Total workers = 480

Number of offices = 3

In each office in different cities

New york = 90 workers

Denver = 130 workers

San Diego = x workers

Find x

Total number of workers = workers in New York + workers in Denver + workers in San Diego

480 = 90 + 130 + x

480 = 220 + x

480 - 220 = x

260 = x

x = 260 workers

Workers in San Diego = 260 workers

Answer:

Step-by-step explanation:

250

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.

Therefore we have x + 72° = 90° + 34°.

=> x + 72° = 124°, x = 52°.

Hence the value of x is 52°.

Answer:

c

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

d

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

f.10

Step-by-step explanation:

C. first you have to find the HCF of 2 and 6 then the HCF of

x and

[tex] {x}^{3} [/tex]

and

[tex] {y}^{5} and \: {y}^{3} [/tex]

Then:

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

D.first you have to find the HCF of 6 ,9 and 3 then the HCF of

[tex] {x}^{2} \: \: x \: and \: {x}^{4} [/tex]

then the HCF of

[tex] {y}^{2} \: \: {y}^{3} and \: {y}^{4} [/tex]

then:

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

F. I'm not sure but 10

if its helpful ❤❤❤❤

THANK YOU.

Answer:

12

Step-by-step explanation:

The required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.

Given that,
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10 is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The property of the parallel line state that the slope of the parallel line are always equal.
So the slope of line given in B 4y - 10x = 12 is m = 5 and slope of the given line is m = 5 which are equal.

Thus, the required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

Answer: x = 4

Step-by-step explanation:

   x/2=10/5

Multiply both sides of the equation by 2.

2⋅  x/2 = 10 /5 ⋅ 2

Simplify both sides of the equation.

Cancel the common factor of 2.

Rewrite the expression.

x= 2 ⋅ 10/5

Divide 10 by 5.

x= 2 ⋅ 10/5

Multiply 2 by 2.

x = 2 ⋅ 2

x = 4

please give brainiest :)

Answer:

G. 8.625 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of first rectangle:

Area of second rectangle:

Area of triangle:

Put them together:

I hope this helps!

Answer:

Area formula: l x w

= 8 x 3

24 cm^2

Perimeter formula: Sum of all sides

= 8+8+3+3

= 25 cm

Answer: 24cm

Step-by-step explanation:

8 multiplied by 3

Answer:

124

Step-by-step explanation:

Cross Multiply

(93x4)/3

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

Playing video games helps me if I have a rough time, I started around 2019. I play adventour type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)

hope this helps :))

9514 1404 393

Answer:

  f(g(x)) = 50x² +140x +93

Step-by-step explanation:

Put the function argument in place of x and simplify.

  f(g(x)) = f(5x+7) = 2(5x+7)² -5

  = 2(25x² +70x +49) -5

  f(g(x)) = 50x² +140x +93

_____

We took advantage of the knowledge that ...

  (a + b)² = a² +2ab +b² . . . . . where a=5x and b=7

Find the slope: change in y over change in x:

Slope = 30 - -5/ 6- -1 = 35/7 = 5

Find y intercept (the y value when x is 0)

Y = 5(0) = 0

There is no y intercept

The function rule would be:

Y = 5x

Answer:

A

Step-by-step explanation:

a drop means subtraction and rising means addition

Answer:

4

Step-by-step explanation:

Jimmy is eating appetizers that

have 120 calories each. He only

plans to eat 550 calories overall.

Write an inequality and determine

the most appetizers he can eat

without exceeding the limit.

He can eat 4.

Answer:

P = 6d ; P = 5d + 15

Step-by-step explanation:

Given that :

Keith = 6 pages per day

Tameka = 5 pages per day

Tameka has already read 15 pages

If d = Number of days ; p = pages read

Keith :

Pages read, p = pages read per day * Number of days, d

P = 6d

Tameka :

Pages read, p = (pages read per day * Number of days, d) + pages read already

P = 5d + 15

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

[tex]\\P=6d[/tex]

[tex]P=5d+15[/tex]

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day. Equation for Keith, where d for days and p for pages can be given as,

[tex]P=6\times d\\P=6d[/tex]

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

[tex]P=5\times d+15\\P=5d+15[/tex]

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

[tex]\\P=6d[/tex]

[tex]P=5d+15[/tex]

Learn more about the system of equations here;

https://brainly.com/question/13729904

Answer:

C=0.55M+24.65

Step-by-step explanation:

0.40M+0.15M=0.55M

18.95+5.70=24.65

Answer:12 minutes

Hope this is right sorry if not <3