All categories

2 years ago

1.

Mathematics

1 answer:

vodka [1.7K]2 years ago

8 0

9514 1404 393

Answer:

C. The zeros are -1 and 5/2, because f(x) = (x + 1)(2x-5).

Step-by-step explanation:

The zeros of the function are the values that make the factors zero. The factors need to multiply out to give the original standard-form equation.

The sign of the constant (-5) tells you the product of the constants in the factors must be -5. That is only true for choices B and C.

Additionally, the x-term needs to match the result of multiplying out the factors.

B. (x -1)(2x +5) = 2x^2 +3x -5 . . . . . . . . . wrong x-term (not -3x)

C. (x +1)(2x -5) = 2x^2 -3x -5 . . . . . . . . . matches the given f(x)

The factors of C are zero when x=-1, x=5/2.

You might be interested in

HELP ME PLEASE!! slove: 3x = - 2/3 x - 2/9

Leya [2.2K]

Answer:

x= -2/33

Step-by-step explanation:

let me know if it is right

5 0

3 years ago

What does the model predict for 1900?

vagabundo [1.1K]

Answer:

64.0% is the correct answer.

Step-by-step explanation:

As per the given scatter plot of voter turnout every year:

X axis represents the year and

Y axis represents the percentage of people who voted.

The model was predicted as per the equation:

$y = -0.1271x + 307.53$

To find: Prediction for the year 1900.

Putting the value of $x=1900$ , the value of y will be the predicted value of the model i.e. the value of percentage of voter turnout.

$\Rightarrow y = -0.1271\times (1900) + 307.53\\\Rightarrow y = -241.49 + 307.53\\\Rightarrow y = -64.04\%\\OR\\y \approx 64.0\%$

So, the model predicts $y \approx 64.0\%$ for the year 1900.

3 0

3 years ago

Solve absolute value equation 2|x-3|-8=2

Semmy [17]

Answer:

$x=8, -2$

Step-by-step explanation:

$2|x-3|-8=2$

$2|x-3|=10$

$|x-3|=5$ $|x-3|=-5$

$x-3=5$ $x-3=-5$

$x=8$ $x=-2$

7 0

3 years ago

A baseball player throws a 95mph fastball straight up into the air. The position equation, which gives the height of the ball at

Lana71 [14]

Set s(t) = 0 which means it hits the ground. The formula doesn't fit the parameters given as it shows that the pitcher is standing on something 37 feet high.
s(t)=-16t^2+140t+37 and has an initial velocity of 140.
Graphing or solving this, t= 9 seconds when it hits the ground.
The velocity V(t) is the derivative of s(t)
V(t) = -32t+140
V(9) = -148 ft/second which is going down

3 0

3 years ago

Las llantas de un automóvil pequeño tiene una medida de 14 pulgadas de diámetro.Realiza la gráfica de una de las llantas colocan

LiRa [457]

Answer:

Invitamos cordial a revisar la imagen adjunta abajo para mayor detalle sobre la gráfica de las llantas.

La forma general de la circunferencia de la llanta está representada por $x^{2}+y^{2}-49 = 0$ .

Step-by-step explanation:

A continuación, anexamos una representación de las llantas del automóvil como una circunferencia centrada en el origen y con un diámetro de 14 pulgadas, es decir, un radio de 7 pulgadas.

La ecuación estándar de la circunferencia centrada en un punto dado y con un radio determinado está definida por:

$(x-h)^{2}+(y-k)^{2} =r^{2}$ (1)