If (x + 8) is a factor of f(x), which of the following must be true?
Both x = –8 and x = 8 are roots of f(x).
Neither x = –8 nor x = 8 is a root of f(x).
f(–8) = 0
f(8) = 0

Answer:

When the equation is written in the slope-intercept form (y=mx+b) we can find the y-intercept by looking at the equation. The value of b is the y-intercept. This is because the y-intercept is when the x value equals 0. When x = 0, mx = 0, so when x = 0, y = b.

Step-by-step explanation:

trust the process

Answer:

I think it's 60 or 64 because u got divided or multiply

Answer:

x = 60

Step-by-step explanation:

This is a proportion..

so basically in proportions you multiply the diagonals.

100x45= 4500

then you divide the product by the other number in this case the other number is 75.

4500/75= 60

The missing value is 60!! I hope this helps!!

Answer:

1244 DCD

Step-by-step explanation:

Answer:

60 x 4/5 = 240/5 = 48

48 vanilla cheesecakes

Answer:

  all real numbers except x=2

Step-by-step explanation:

We assume you intend c(x) = 5/(x-2), rather than c(x) = (5/x) -2 as written.

__

The domain of c(x) is real numbers, excluding 2. Multiplying c(x) by d(x) doesn't change that.

The domain of (cd)(x) = c(x)×d(x) = 5(x+3)/(x-2) is "all real numbers except 2".

__

2 is excluded because c(x) is undefined for that value.

Answer:

3 weeks

Step-by-step explanation:

Answer:

The dogs will not be the same weight because if you do 2(6+3) it would give you 18 and then for this expression using the same number (6) it would be 3(6+1) = 21

I hope this helps!

Step-by-step explanation:

Answer:

\( PD = 18 \)

\( EQ = 4 \)

Step-by-step explanation:

Given:

AP = 3,

PQ = 5,

QB = 7,

CP = 2,

QD = 14

Required:

1. PD

2. EQ

SOLUTION:

1. Based on Intersecting Chords Theorem,

\( AP*PB = CP*PD \)

AP = 3

PB = PQ + QB = 5 + 7 = 12

CP = 2

PD = ?

Plug in the values into the equation

\( 3*12 = 2*PD \)

\( 36 = 2*PD \)

Divide both sides by 2

\( \frac{36}{2} = PD \)

\( 18 = PD \)

\( PD = 18 \)

b. Based on Intersecting Chords Theorem,

\( EQ*QD = AQ*QB \)

EQ = ?

QD = 14

AQ = AP + PQ = 3 + 5 = 8

QB = 7

Plug in the values into the equation

\( EQ*14 = 8*7 \)

\( EQ*14 = 56 \)

Divide both sides by 14

\( EQ = \frac{56}{14} \)

\( EQ = 4 \)

The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

15

Step-by-step explanation:

14+14=28+7=35-50=15

Hope that helped (your free to ask any question or if you are confused)

Answer:

(1) 0.6

(2) 0.625

(3) 2.25

(4) 0.8

(5) -0.9

(6) 1.5

(7) 2.3

(8) -3.2

(9) 0.7

(10) -1.375

(11) 6.15

(12) 0.08

(13) 0.875

(14) 5.5

(15) -0.8

(16) 0.24

Step-by-step explanation:

Just divide all the fractions as you normally would to solve a division problem. Another way to make it easier is if you have a whole number than put that whole number in front of the decimal first then solve the division problem.

The correct option is that C. Carmen disagreed and said, "No, the answer is 72x^12"

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

It should be noted that when dividing exponents with same base, we will subtract the powers and when multiplying them, we will add the powers.

Here, the study team was discussing how to multiply 6x^10 by 12x^2. Therefore, this will be:

= 72 × x^(10 + 2)

= 72x^12.

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The coordinates of the vertex will be (-1/12, 23/24).

ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given, a quadratic equation F( x )=6 x²+ x +1

Compared with the general formula of the quadratic equation ax²+bx+c=0,

a = 6

b = 1

c = 1

Solving the equation:

F( x )=6 x²+ x +1

F( x ) - 1 =6 x²+ x

f(x) - 1 = 6(x² + x/6)

f(x) -1 = 6(x² + x/6 + 1/144 - 1/144)

f(x) - 1 = 6(x + 1/12)² - 1/24

f(x) = 6(x + 1/12)² - 1/24 + 1

f(x) = 6(x + 1/12)² + 23/24

From the general formula of a quadratic equation to vertex form will be

F(x) = a(x-h)² + k

h will be -1/12 and k  will be  23/24

therefore, The coordinates of the vertex will be (-1/12, 23/24).

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Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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Answer:

2.28%

Step-by-step explanation:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

\(z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x<70.5\ in\\\\Given \ that\ n=100, \mu=71\ in, \sigma=2.5\ in\\\\z=\frac{70.5-71}{2.5/\sqrt{100} }=-2\\\\From\ normal\ distribution\ table, P(x<70.5)=P(z<-2)=0.0228=2.28\%\)

the value of a is 100 degrees

and the value of angle b is 110 degrees

as i can see the inscribed angles

a = 100 degrees

b = 110 degreees

so the answer is option B.

as we know that An inscribed angle in a circle is created by two chords and that have a common end point on the circle.

Let us first solve for the slope (m) of the perpendicular line.

The slope of the perpendicular line is -5/3.

Thus, for the slope of the line, we get,

Let us solve for the value of b with the given value of slope (m) = 3/5 and (x,y) = (-5,1).

Let's now make the equation of the line using Slope-Intercept Form,

Given, m = 3/5 and b = 2

The volume of the smaller wedge cut from a sphere of radius 4 by two planes that intersect along a diameter at an angle of π/6 is 1/6.

What is volume ?

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.

Consider that the tetrahedron is bounded by the coordinate planes and the plane 8 x+y+z=2

Evaluate the triple integral \(\iiint_E d V$.\)

The lower boundary of tetrahedron is the plane z=0 and the upper boundary of tetrahedron is the plane z=2-8 x-y.

And the projection is y=2-8 x.

The x-limits are obtained by taking y=0 and z=0 in 8 x+y+z=2.

\($$\begin{array}{r}8 x=2 \\x=\frac{2}{8} \\x=\frac{1}{4}\end{array}$$\)

Therefore, the region becomes \($R=\left\{(x, y, z) / 0 \leq x \leq \frac{1}{4}, 0 \leq y \leq 2-8 x, 0 \leq z \leq 2-8 x-y\right\}$\).

Therefore, the integral becomes

\($ \iiint_E d V=\int_0^{\frac{1}{4}} \int_0^{2-8 x} \int_0^{2-8 x-y} d z d y d x $\)

\($=\int_0^{\frac{1}{4}} \int_0^{2-8 x}[z]_0^{2-8 x-y} d y d x $\)

\($ =\int_0^{\frac{1}{4}} \int_0^{2-8 x}[2-8 x-y] d y d x $\)

\($ =\int_0^{\frac{1}{4}}\left[2 y-8 x y-\frac{y^2}{2}\right]_0^{2-8 x} d x . $\)

\($ =\int_0^{\frac{1}{4}}\left[2(2-8 x)-8 x(2-8 x)-\frac{(2-8 x)^2}{2}\right] d x $\)

\($ =\int_0^{\frac{1}{4}}\left[32 x^2-16 x+2\right] d x $\)

\($ =\left[32\left(\frac{x^3}{3}\right)-16\left(\frac{x^2}{2}\right)+2 x\right]_0 $\)

\($ =32\left(\frac{\left(\frac{1}{4}\right)^3}{3}\right)-16\left(\frac{\left(\frac{1}{4}\right)^2}{2}\right)+2\left(\frac{1}{4}\right)-0 $\)

\($ =\frac{1}{6} $\)

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Answer:

Step-by-step explanation:

one think

Answer:

option A is correct answer of this question

hope it helps

answer: B = 43°

Step-by-step explanation:

4+(n+10)=25

4+n+10=25

n+14=25

n=25-14

n=11

how

how you get 800 in 8000000 to 87777

From the graph, we get that:

The domain is (-4,4).

The function has no zeros.

The function is positive in the interval (-4, 0].

The function is negative in the interval (0,4).

------------------------------------

The domain of a function is the set that contains all the possible input values. In a graph, it is the values of the x-axis, that is, the horizontal axis.

In this question, the values of x are in the interval of (-4,4) thus, the domain is (-4,4).

The zeros are the values of x for which y = 0, that is, the values of x where the function crosses the horizontal axis. In this question, the function does not cross the horizontal axis, thus, it has no zeros.

The function is positive when the graph is above the horizontal axis. In this question, it is in the interval (-4,0].

The function is negative when the graph is below the horizontal axis. In this question, it is in the interval (0,4).

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Finding the mean of a set of numbers is an important task in statistics. It is a common measure of central tendency and gives us an idea of the typical value in a dataset. The following are the steps to calculate the mean of a set of numbers:

Step 1: Add all the numbers together The first step in finding the mean of a set of numbers is to add all the numbers together. For instance, suppose we want to find the mean of the following numbers: 3, 4, 5, 6, 7, 8, 9. We will add these numbers as follows:3 + 4 + 5 + 6 + 7 + 8 + 9 = 42

Step 2: Divide the sum by the number of values The second step is to divide the sum of the numbers by the number of values. In our example, we have seven values, so we divide the sum by 7:42/7 = 6

Therefore, the mean of the set of numbers is 6. In conclusion, finding the mean of a set of numbers involves adding all the numbers together and dividing the sum by the number of values. It is a simple yet essential statistical concept that provides us with valuable insights into the typical value of a dataset.

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Answer:

-116/37

Step-by-step explanation:

Answer:

z = -3.1

Step-by-step explanation:

just divide both sides by -3.7, you get z = -3.135

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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