ASAP 50 points!!!!!!

Given the functions f(x) = –x2 + 4x and g(x) = x - 4, describe or show Bethany how she could find where f(x) = g(x) using a system and name the value(s) for x.

Resolviendo una ecuación cuadratica, veremos que el número puede ser -2 o 1/8.

Partimos de la oración matematica:

"Ocho veces un número es restado de dos veces su recíproco. El resultado es 15. Halla el número."

Primero vamos a definir al número como x.

El reciproco de x es la inversa, es decir, 1/x.

Entonces, a 2 veces ek reciproco de x, le restamos 8 veces x, y eso va a ser igual que 15.

2/x - 8*x = 15

Ahora podemos resolver esto para x, primero multiplicamos a ambos lados por x:

2 - 8x^2 = 15x

-8x^2 - 15x + 2 = 0

Esto es una ecuación cuadratica, las soluciones van a ser:

[tex]x = \frac{-(-15)\pm \sqrt{(-15)^2 - 4*(-8)*2} }{2*(-8)} \\\\x = \frac{15\pm 17}{-16}[/tex]

Entonces tenemos dos soluciones:

x = (15 + 17)/-16 = -2

x = (15 - 17)/(-16) = 1/8

El número puede ser -2 o 1/8.

Sí quieres aprender más sobre ecuaciones cuadraticas, puedes leer:

https://brainly.com/question/14013122

Answer:

Distance between parallel chords is 14 cm or 2 cm. Hope this helps

Step-by-step explanation:

Answer:

2. 131

3. 8

4. 69

Step-by-step explanation:

2.

√5607

=131

3.

10cm, √9cm, 8cm

4.

372−1300

=1369−1300

=69

Answer:

Step-by-step explanation:

I don't know if this is what your looking for but the 38 cars that are 10 years old are 45.78 in percentage and the 5 cars that are more than 20 years are 6.02 in percentage.

(if you are asking how much more percentage to get from 6.02 to 45.78 its 39.76)

I really did not get the question but hope it help a bit.

Answer:

(A) 46% (B) 13%

Step-by-step explanation:

First we can find the percentage of cars that are at least 10 years old by dividing the amount that are 10+ years old by the total amount of cars

[tex]38/83= 0.45783[/tex]

when made into a percentage that is 46%

Now we can find the percentage of those cars that are 20+ years old by dividing the number of 20+ year old cars by our percentage

[tex]5/38=0.13157[/tex]

When made into a percentage That is 13%

Hope this helps! :)

Answer:

225

Step-by-step explanation:

A = 5. 3A = 3(5) cubed. So 3 times 5 is 15. 15 cubed is 225.

Answer: See below

Step-by-step explanation:

The usage of passive income instead of collecting and saving your money without risking a loss through investments:

Passive income is money that you make without having to perform a lot of "active" work to keep it. In essence, you may complete the most of the work upfront and put in some extra effort along the secondary source of income.

8

Step-by-step explanation:

you would do 10 divide by 2.25 and that's 4.4 but you can't by half a hamburger so you round down to 4 and then you times 4x2 because it's 2.25 for two hamburgers so your answer is 8.

Step-by-step explanation:

both of a and b are correct but I don't know how...

Answer:

1/4 chance for Ephraim and 1/2 chance for Keiko

Answer:

No

Step-by-step explanation:

No, because the rates are not the same for X and Y

Answer:

To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. The inequality solver will then show you the steps to help you learn how to solve it on your own.

Step-by-step explanation:

Answer:

B) a + 2(a - 3) = 15

Step-by-step explanation:

To see which equation has a = 7, we have to plug 7 into a each time until we find a satisfied equation.

A:

B:

Therefore, B is the correct answer.

Answer:

Yamateh kudasai

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

I'd put chemical or physical process in which rocks are worn down by in erosion and carrying away of soil rock and other materials in weathering.

Hope this helps

Answer:

52

Step-by-step explanation:

Answer:

n+(n-5)

=2n-5

n years Mary's age

n-5 years younger sisters age

Thanks!

Answer/Step-by-step explanation:

Given:

Maria is 5 years older than her younger sister.

If Maria will be n years after 7 years,

To Find:

Find their total age in terms of n.​

Solve:

n+(n-5)

n + n = 2n

2n -5

n -  years Mary's age

Therefore,  n-5 years younger sisters age

[RevyBreeze]

Answer: Melissa's walking speed is 2mph. Her biking speed is 6mph

Step-by-step explanation:

Her total distance is 6 miles, because she walks 3 miles, and so the returning distance must also be 3.

Let her cycling speed (in mph) be x

Let her walking speed (in mph) be y

We know that x = y + 4

Since we know that S = D/T:

T = D/S

So her cycling time must be: T = 3/x

and her walking time must be: T = 3/y

since we know that x = y + 4, we can substitute this into her cycling time, and rewrite it as T = 3/y+4

we also know that 3/y+4 + 3/y = 2, because the problem says that the total time taken was 2 hours.

We simply need to solve this equation now:

3/y+4 + 3/y = 2

The LCD for y+4 and y is y² + 4y

so now we have:

(3y/y² + 4y) + (3y+12/y² + 4y) = 2

(6y + 12)/y² + 4y = 2

6y + 12 = 2y² + 8y

2y² + 2y - 12 = 0

Solve this using factoring:

2y² + 2y - 12 = 0

2(y² + y - 6) = 0

(y+3)(y-2) = 0

using ab = 0, then a or b =0:

y = -3, or y = 2

Since speed cannot be negative, our answer is 2 for y. So y, or the walking speed is 2mph. Since x = y + 4, we know that x = 6 mph

Melissa's walking speed is 2mph. Her biking speed is 6mph

Answer:

can you show a picture

Step-by-step explanation:

it depends on the situation and the problem but normally you would use the other numbers to figure out what number goes in "x"

Need more information to solve for x.

[tex] \rm \color{lime}(2,10)[/tex]

step-by-step explanation:

[tex]\rm \color{lime}y = - {x}^{2} + 4x + 6[/tex]

[tex]\rm \color{lime}x = - \frac{4}{2x( - 1)} [/tex]

[tex]\rm \color{lime}y = - {x}^{2} + 4x + 6,x = 2[/tex]

[tex]\rm \color{lime}y = 10[/tex]

[tex] = \rm \color{hotpink} (2,10)[/tex]

hope it helps

Answer:

y = - (x - 2)² + 10

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

y = - x² + 4x + 6 ( factor out - 1 from the first 2 terms )

y = - (x² - 4x) + 6

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

y = - (x² + 2(- 2) + 4 - 4) + 6

y = - (x - 2)² + 4 + 6

y = - (x - 2)² + 10 ← in vertex form

Shelly would need 5 pounds of grass seed to plant in her backyard.

Area is the amount of space occupied by a two dimensional shape or figure.

From the image:

Area of the backyard = (10 + 15) * (10 + 20) = 750 ft²

Area of triangle = (1/2) * 10 * 10 = 50 ft²

Area of small rectangle = (25 - 20) * (30 - 15) = 75 ft²

Area of shaded part = 750 - 50 - 75 = 625 ft²

1 pound of grass seed covers 125 ft², for 625 ft²:

Amount of seed = 625 ft² * 1 pound per 125 ft²  = 5 pound

Shelly would need 5 pounds of grass seed to plant in her backyard.

Find out more on area at: https://brainly.com/question/25292087

Answer:

58º

Step-by-step explanation:

angles on a straight line = 180º

90 + 32 = 122

180 - 122 = 58

The average rate of change is the slope.

The slope is equal [tex]\frac{y2-y1}{x2-x1}[/tex], if we were to do that for each set of points, we get the slope is always 8.

Thus the average rate of change is 8.

Answer:

F has the smalled minimum value

Step-by-step explanation:

Answer:

-5/2,-1/4

Step-by-step explanation:

Answer:

the slope is m= 2/3

if you need it for y is y=2/3x-20/3