I know how to convert fractions and decimals but the the fact that it’s repeating threw me off so can someone help please?

Let f(x) = ax ² + bx + c. Then

f '(x) = 2ax + b

f ''(x) = 2a

f (-3) = -18, so

9a - 3b + c = -18

f ' (-3) = 16, so

-6a + b = 16

f '' (-3) = -6, so

2a = -6

Then a = -3, b = -2, and c = 3, so that

f(x) = -3x ² - 2x + 3

Answer:

(3^1/2)(3^1/4)

Step-by-step explanation:

Use the formula

[tex]\sqrt[n]{a} ^x[/tex] = [tex]a^{\frac{x}{n} }[/tex]

[tex]\sqrt{3}[/tex]

a = 3

n = 2, we do not write it because square root is basically replacing it

x = is a period in this case period is 1

[tex]\sqrt[4]{3}[/tex]

a = 3

n = 4

x = 1

Exact Form:

[tex]3^{\frac{3}{4} }[/tex]

Decimal Form:

2.27950705

…

Hope it helps:)

Answer:

Step-by-step explanation:

B was wrong!!

Answer: A

Step-by-step explanation: Just got it right.

Answer:

[tex]y = - \frac{4}{5} x + 3[/tex]

Step-by-step explanation:

[tex]b = 3[/tex]

[tex] - 2 = 4a + 3[/tex]

[tex]a = - \frac{4}{5} [/tex]

Answer:

1000000000000000015

Answer:

1,000,000,000,000,000,014

Answer:

(4, 6)

Step-by-step explanation:

if it's a reflection then I believe it would just look exactly the same only with positive numbers

sorry if it's wrong, but hope it helps :)

Answer:

(4, 6)

Step-by-step explanation:

In the question it says "reflected over the X-axis and the Y-axis?"

When reflected you get (4, 6)

The opposite of Negative is positive

Answer:

$21

Step-by-step explanation:

There are two ways to do this question:

1. Multiply 60 by .65 and minus the product from the original price ($60)

2. Multiply 60 by .35 (This is because the discounted price maintains 35% of the regular price)

Let's do it both ways:

1. (60)(.65) = 39

60 - 39 = 21

2. (60)(.35) = 21

Therefore, the price now is $21.

I hope this helps!!

- Kay :)

Answer:

$21.00

Step-by-step explanation:

$60.00*(1.00-.65)

$60.00*(35)

$21.00

Answer:

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.

The fuel efficiency of Ford trucks is found to follow a normal distribution with mean 20 mpg and a standard deviation of 3 mpg.

This means that [tex]\mu_{F} = 20, \sigma_{F} = 3[/tex]

The fuel efficiency of GM trucks is found to follow a normal distribution with mean 24 mpg and standard deviation of 4 mpg.

This means that [tex]\mu_{G} = 24, \sigma_{G} = 4[/tex]

Compute the probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

This is the probability that the subtraction of ford by gm is less than 0. First, we find the mean and the standard deviation.

[tex]\mu = \mu_{F} - \mu_{G} = 20 - 24 = -4[/tex]

[tex]\sigma = \sqrt{\sigma_{F}^2+\sigma_{G}^2} = \sqrt{3^2+4^2} = 5[/tex]

This probability is the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-4)}{5}[/tex]

[tex]Z = 0.8[/tex]

[tex]Z = 0.8[/tex] has a pvalue of 0.7881

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

Answer:

(8x9)^4

Step-by-step explanation: i am 99% sure

Answer:

72^4=26873856

Step-by-step explanation:

9514 1404 393

Answer:

  (a) not proportional

  (b) k = 7/8

Step-by-step explanation:

When a linear equation is of the form ...

  y = mx + b

with b ≠ 0, the relation is NOT PROPORTIONAL.

__

If b=0, so the equation is of the form ...

  y = kx

then the relation IS PROPORTIONAL. The constant of proportionality is k.

__

(a) Not proportional

(b) Proportional with k = 7/8

Answer: C.) 56 square centimeters

Step-by-step explanation:

Answer:

22000

to the test

Answer:

57.3

Step-by-step explanation:

just took the quiz

Answer: -1

Step-by-step explanation:

First change tan(315) to:

[tex]\frac{\sin(315)}{\cos(315)}[/tex]

Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?

[tex]-\frac{\sqrt{2} }{2} /\frac{\sqrt{2} }{2} =-1[/tex]

Answer:

49m^3

Step-by-step explanation:

6287-6238=49m^3

Answer:

300

Step-by-step explanation:

Answer:

Value of x = 19.42 unit (Approx)

Step-by-step explanation:

Given:

Base = 6 unit

Angle θ = 72°

Find:

Value of x

Computation:

Cos θ = base / Hypotenuse

Cos 72° = 6 / x

0.3090 = 6 / x

x = 19.4174

Value of x = 19.42 unit (Approx)

Answer:

135

Step-by-step explanation:

you need to explain the actual question and not put an image without context

Answer:

angle a = 70

angle b = 45

angle c = 65

Step-by-step explanation:

Now we will try to find the measure of the unknown angle together. Starting with angle b.

Angle b and 135 make a 180 angle together therefore the following expression.

angle b + 135 = 180

b = 45

Now that we have angle be we can try to find angle a. As we know, vertical angles are always equal to one another. Angle a and 70 are vertical to each other.

a = 70

Now that we have angle a and b we can finally find c. A triangle is the a sum of 180 degrees so, a + b + c = 180

70 + 45 + c + 180

c = 65

Answer:

El precio de venta de la cámara es de $17.70.

Step-by-step explanation:

Dado que Mario vende una cámara web HD con una tasa de ganancia del 18%, y compró dicho elemento a $15.00, para determinar el precio de venta del producto se debe realizar el siguiente cálculo:

15 + (15 x 18 / 100) = X

15 + (15 x 0.18) = X

15 + 2.70 = X

17.70 = X

Por lo tanto, el precio de venta de la cámara es de $17.70.

Answer:

25 cups of apple juice and 10 cups of sparking water.

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

6x7=42

42+47=89

Answer:

you have 89 marbles

Step-by-step explanation:

basically it's addition and multiplication. All you needed is a piece of paper and a pencil.It'll help:)

Answer:

Emily because Lindsay is at the movies so she can't ride the Ferris Wheel. Janelle is too afraid to go that high. Emily only doesn't like caramel apples so she can still go on the Ferris Wheel.

Answer:

Emily

Step-by-step explanation:

The third person riding on the ferris wheel is Emily. why? well Lindsey is at the movies so she can't be at the carnival riding the ferris weel, Janelle is afraid of heights so their is no way she would ride the ferris wheel, but Emily just doesn't like Carmel apples which would not stop her from riding the ferris wheel.

Answer:

you are 100% correct (^_^)

Step-by-step explanation:

Answer:

A) (1 s, 2.3 s)

B) (-4 m/s², 3.8 m/s²)

Step-by-step explanation:

The car's position which is the distance is given by the equation;

s(t) = t³ - 5t² + 7t

A) Velocity is the first derivative of the distance. Thus;

v(t) = ds/dt = 3t² - 10t + 7

At v = 0, we have;

3t² - 10t + 7 = 0

Using quadratic formula, we have;

t = 1 and t = 2.3

Thus, time at velocity of 0 is t = (1 s, 2.3 s)

B) acceleration is the derivative of the velocity. Thus;

a(t) = dV/dt = 6t - 10

At velocity of 0, we got t = 1 and t = 2.3

Thus;

a(1) = 6(1) - 10 = -4 m/s²

a(2.3) = 6(2.3) - 10 = 3.8 m/s

Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)

Given:

The statement is " a is the fourth root of 16".

To find:

The true statement for the given statement.

Solution:

The given statement is

a is the fourth root of 16.

Mathematically, it can be written as

[tex]a=\sqrt[4]{16}[/tex]

Taking power 4 on both sides.

[tex]a^4=(\sqrt[4]{16})^4[/tex]

[tex]a\times a\times a\times a=16[/tex]

Therefore, the correct option is A.

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

Important Information :

'a' is the fourth root of 16 can be written as

[tex]a=\sqrt[4]{16}[/tex]

To remove fourth root, we take exponent 4 on both sides

[tex]a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4[/tex]

Exponent 4  and fourth root will get cancelled

[tex]a^4=16\\a \cdot a\cdot a \cdot a=16[/tex]

a x a x a x a = 16

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

learn more about the radicals here:

brainly.com/question/1799883

9514 1404 393

Answer:

  y ≥ 4x

Step-by-step explanation:

We notice the y-values in the table are 4 times the corresponding x-values. Since the table values represent a minimum, the appropriate inequality is ...

  y ≥ 4x

Answer:

Step-by-step explanation:

Mean of four numbers a, b, c, and d is 8:

Mean of seven numbers x, y, z, a, b, c and d is 12:

Substitute the sum of 4 numbers:

Mean of x, y and z is: