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2 years ago

Ax+16=b−3x what is a= and what does b= ?

Mathematics

1 answer:

Vlad1618 [11]2 years ago

7 0

Answer:

Slope=4

x−intercept=−

=−4

b−intercept=

=16.0000

Step-by-step explanation:

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Latasha deposits 250$ into a account savings. The simple intrest rate paid is 3.5%. how much interest does Latasha earn in one y

Afina-wow [57]

Answer:
$258.75

step-by-step explanation:
$250 • 3.5%
8.75
$250 + 8.75%
$258.75

7 0

2 years ago

Read 2 more answers

Al obtener el valor de lo que costará la fiesta de graduación para tu grupo te das cuenta que el lugar que decidieron alquilar p

dybincka [34]

Explicación paso a paso:

Debemos buscar el costo de cada boleto y la cantidad de personas que deben ir.

Dada la función que da forma al comportamiento expresado como;

f (x) = (-2x) ^ 2 + 80x + 300 donde;

x es el costo de cada boleto

f (x) es el número de personas que deben ir

Para obtener x, usaremos la expresión;

x = -b / 2a

De la ecuación cuadrática dada, a = -2, b = 80 yc = 300

Sustituir;

x = -80/2 (-2)

x = -80 / -4

x = 80/4

x = 20

Por lo tanto, el boleto cuesta $ 20.

Lo siguiente es obtener la cantidad de personas que deben ir. Para conseguirlo, sustituiremos x = 20 en la expresión modelada como se muestra;

f (x) = (-2x) ^ 2 + 80x + 300

f (20) = (-2 (20)) ^ 2 + 80 (20) +300

f (20) = (-40) ^ 2 + 1600 + 300

f (20) = 1600 + 1600 + 300

f (20) = 3500

Por lo tanto, 3500 personas tienen que ir

8 0

2 years ago

A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the oceanis 12.5°. If a point on the ocean fl

Travka [436]

Answer:

The 13.2 meters from that point on the ocean floor to the wreck.

Step-by-step explanation:

As given

A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the ocean is 12.5°.

If a point on the ocean floor is 60 meters.

Now by using the trigonometric identity.

$tan\theta = \frac{Perpendicular}{Base}$

As shown in the figure given below.

Perpendicular = CB

Base = AC = 60 meters

$\theta = 12.5^{\circ}$

Put in the identity

$tan\ 12.5^{\circ} = \frac{CB}{AC}$

$tan\ 12.5^{\circ} = \frac{CB}{60}$

$tan\ 12.5^{\circ} = 0.22$

$0.22= \frac{CB}{60}$

CB = 60 × 0.22

CB = 13.2 meters

Therefore the 13.2 meters from that point on the ocean floor to the wreck.

8 0

2 years ago

At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017

Anarel [89]

Answer:

$4,116

Step-by-step explanation:

Worth of Mike's car at the start of 2014 = $12,000

If the car is said to depreciates every year by 30% = 30/100 = 0.3

The worth of the car at the start of 2017 is what we are to determine.

This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)

The worth at the start of 2017 would be calculated as follows:

12,000 × (1 - 0.3)³

= 12,000 × (0.7)³

= 12,000 × 0.343

= 4,116

Worth of the car at the start of 2017 would be $4,116

4 0

2 years ago

The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its s

lisabon 2012 [21]

The equation for the situation is $5x+6(0.95)=11.95$

The solution to the equation is $x=1.25$

First, you must set up the equation.

$5x+6(0.95)=11.95$

Then, you must simplify the terms.

$5x+5.7=11.95$

Next, subtract 5.7 on both sides.

$5x=6.25$

Finally, divide 5 on both sides

$x=1.25$

6 0

2 years ago