Use Long Division to divide (5x3 + 22x2 + 7x – 4) by (5x2 + 2x – 1). Use the quotient to find the second piece of the code from the Code Breaker Guide.

Quotient:

Code Piece:

Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

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The y-intercept of the line representing Beatrice's monthly music is 20

From the question, we have the following parameters that can be used in our computation:

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

Answer:

hey dude, sorry if this is wrong but i think its 6cm

Step-by-step explanation:

Answer:

y=-1/4, 2.

Step-by-step explanation:

4y^2=7y+2

4y^2-7y-2=0

factor,

(4y+1)(y-2)=0

zero property,

4y+1=0, y-2=0,

4y=0-1=-1,

y=-1/4,

y=0+2=2.

Answer:

The area of this triangle is (1/2)(9)(8) = 36.

Answer:

47+34= 3k + 3k + 3k + 3k

Step-by-step explanation:

6¾

Answer:

Step-by-step explanation:

x - 12 ≤ 3 - 2x

3x ≤ 15

x ≤ 5

To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT

Step-by-step explanation:

let number of brand new busses = x

let number of secound hand busses = y

from first condition

x + y = 20

x = 20 - y

cost of brand new busses = 8000x

cost of scount hand bus = 3500y

8000x + 3500y = 160000

8000( 20 - y ) + 3500y = 106000

160000 - 8000y + 3500y = 106000

-4500y = -54000

y = 12

x = 20 - y

x = 8

Answer:

New minibuses = 8 ; second hand minibuses = 12 ; cost of second hand minibuses= $42,000

Step-by-step explanation:

we can indicaté the brand new ones with x and the second hand ones with y

with the information given we can build a system of two equations

x + y = 20

8000x + 3500y = 106000

we can solve it for example with the substitution method

x = -y+ 20

we can divide each member of the second expression for 100

80x + 35y= 1060

than for 5

16x + 7y = 212

now we can substitute x in the expression

16(-y+20) + 7y = 212

we can now solve the equation

-16y + 320 + 7y = 212

-9y = -108

y = 12 (the number of the second hand mini buses)

we can now substitute y in the first equation and solve it

x = -12 + 20

x = 8 (the number of the new minibuses)

For find the total cost of the second hand minibuses we have just to multiply

3500 x 12 = $42.000

Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

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Answer:

∠ AEB = 114°

Step-by-step explanation:

the chord- chord angle AEB is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

∠ AEB = \(\frac{1}{2}\) (AB + CD) = \(\frac{1}{2}\) (140 + 88)° = \(\frac{1}{2}\) × 228° = 114°

Answer:

4 Trust me

Step-by-step explanation:

(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

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Answer:

why blank dear

Step-by-step explanation:

pls follow e and !ark as brainliest and follow me to get free thnks to all your answer's

Step-by-step explanation:

No question do how any one can answer u??

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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Answer:

median and quartile deviation

Answer:

\(y < 3x - 4\)

Step-by-step explanation:

We can tell right away, that the line has a positive slope, since it goes upwards and to the right. To find the slope exactly, we will use rise/run. We will count the units from the first given point until we reach the next point.

So we can tell that the slope is 3/1 or just 3.

Also, since the line crosses the y-axis at -4, this will be the y-intercept.

Next, since the line is dotted, we know that the inequality sign will either be the "greater than" sign, or the "lesser than" sign. In this case, since the shaded area is below the line, we will use the "lesser than" sign.

So all together, we have y < 3x - 4.

Hope this helps you :)

The value of x in 2^x - 2 when x = 0, x = 1 and x = 2 are -1, 0 and 2 respectively. option A

2^x - 2

when x = 0

2^x - 2

= 2^0 - 2

= 1 - 2

= -1

when x = 1

2^x - 2

=2^1 - 2

= 2 - 2

= 0

when x = 2

2^x - 2

= 2^2 - 2

= 4 - 2

= 2

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Answer:

x is -1/b yw

Step-by-step explanation:

Answer:

(a) Symmetric to the x - axis: ( 7, 8)

(b) Symmetric to the y - axis: (-7, -8)

(c) Symmetric to the origin: (-7, 8)

Explanation:

(a)

A point (a,b) is said to be symmetric with respect to the x-axis when

therefore, for the point ( 7, -8) a point that is symmetric with respect to the x-axis is

Hence, a point symmetric to (7, -8) with respect to the x-axis is (7,8).

(b)

A point (a,b) is said to be symmetric with respect to the y-axis when

therefore, for the point ( 7, -8) a point that is symmetric with respect to the y-axis is

Hence, a point symmetric to (7, -8) with respect to the y-axis is (-7,-8).

(c).

A point (a,b) is said to be symmetric with respect to the origin when

therefore, for the point (7, -8), a point symmetric with respect to the origin is

Hence, a point symmetric to (7, -8) with respect to the origin is (-7,8).

The graph of the three points is given below:

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

Answer:

10000000000000

Step-by-step explanation:

I do not know how to explain

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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Answer:

what is the question?

Step-by-step explanation:

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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9514 1404 393

Answer:

  False

Step-by-step explanation:

The minimum value is -2.

Answer: <

Step-by-step explanation: -26 is less than positive 56

The spring constant in this instance would be 3 kilograms per inch.

To obtain the spring constant, we would begin with the slope formula where the change in the y-axis is divided by the change in the x-axis. In the case of the figures above we have a straight line from (0, 0) to (4, 12).

On the y-axis, we would have 12 - 0 and on the x-axis, we would have 4 - 0.

Now, we would divide 12 by 4 to have 3 kilometers per inch which is the constant of proportionality.

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