I need this math problem to be solved ASAP!!! Solve for X.
-8x + 3 ≥ 27 AND −13x + 5 ≥ 57
Choose ONE and ONLY the CORRECT answer.
A: x ≤ −4
B: x ≤ −3
C: −4 ≤ x ≤ −3
D: There are NO solutions.
E: All values of X are solutions.

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity , Option B is the correct answer.

A polynomial is an expression which consists of variables , Coefficient , indeterminate and mathematical operations.

The polynomial given has  lead term -x⁷

So when x --> ∞  , -x⁷---> - ∞

and when x ---> - ∞  , -x⁷ ---->  ∞

Similarly for the function P(x)

So when x --> ∞  , P(x)---> - ∞

and when x ---> - ∞  ,  P(x) ---->  ∞

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity

Therefore Option B is the correct answer.

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Answer:

3.844, 3.840, 3.836, 3.832, 3.828 ,3.824, 3.820 - minus by 4

30.565, 31.065, 31.565, 32.065, 32.565, 33.065, - minus 0.5 , -0.5 , 0.5 .......

Answer:

x = -0.21, 0.54

Explanation:

The quadratic formula says that if we have a quadratic equation of the form

then the value of x is given by

Now in our case, we have

therefore, for the quadratic formula we put a = 9, b = -3, and c = -1 to get

which simplifies to give

Hence, rounded to the nearest hundreth, the solutions to the quadratic equation are

x = -0.21 and x = 0.54.

Answer:

you pick similar sides from both the triangles and try and divide or find common multiples. for ex if the sides are 3 and 9, you can find that the scale factor is 3 since 9/3 is 3

Step-by-step explanation:

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Answer:

COOL

Step-by-step explanation:

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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The Volume of the box is 3.75in³

The volume of the box is dependent on the volume of the cube in it.

To obtain the volume of a cube, we use the relation, V = s³

s = side of the cube

Volume = 0.5³ = 0.125 in³

Number of cubes in box = 30

Volume of each cube × Number of cubes

0.125 × 30 = 3.75 in³

Hence, the volume of the box is 3.75in³

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Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

Answer:

5.5 cm

(Rounded up)

Answer:

\(f(-1)=7\)

Step-by-step explanation:

I am going to assume your question meant the equation

\(f(x)=2x^{2} -4x+1\)

So \(f(-1)\) can be found by substituting all the x terms in the equation with -1

\(f(-1)=2(-1)^{2} -4(-1)+1\)

And simplifying for our answer

\(f(-1)=2(1)+4+1\)

\(f(-1) = 2+4+1\)

\(f(-1)=7\)

The ship started at the Position 0.14 units.

To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.

Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:

Starting position + Distance sailed to the left = Distance to the treasure

Let's assign a variable, "x," to represent the starting position of the ship.

The equation becomes:

x - 0.055 = 0.085

To find the value of x, we can solve this equation by isolating x on one side:

x = 0.085 + 0.055

x = 0.14

Therefore, the ship started at the position 0.14 units.

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Answer:

angle A = 112 degrees

Step-by-step explanation:

Angle ADC is bisected (given)  ...so angle 1 = angle 2  

    then angle D = 68 degrees

now you have to remember that adjacent corners (angles on the same LEG) of a trapezoid sum to 180 (they are 'supplementary' )

  angle A = 180 - 68 = 112 degrees

Answer:

B. making an inference.

Step-by-step explanation:

The drama teacher's decision to add another performance time on Saturday is a result of making an inference based on the information that 80% of last year's sold-out plays occurred during weekend performances. By observing this pattern, the drama teacher infers that adding another performance on Saturday will likely attract a larger audience and increase the chances of having a sold-out show.

Answer:

The calculated  χ²  = 20.779  falls in the critical region  χ² ≥ 14.46 so we accept the null hypothesis that all the means are equal and college undergraduates students do not differ from the general public with regard to their favorite sports.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0: the college undergraduates students do not differ from the general public with regard to their favorite sport

H0:  μ1= μ2=μ3=μ4= μ5=μ6=μ7=μ

against the claim

Ha: the college undergraduates students differ from the general public with regard to their favorite sport

2) The significance level alpha is set at 0.05

3) The test statistic under H0 is ( Pearson goodness of fit test )

χ²= ∑ (O - E)²/ E   where O is the observed and E is the expected frequency

which has an approximate chi square distribution with 6 (n-1) d.f

4) Computations:

Under H0 , the observed frequencies are :

 Observed       Expected          (O-E)          (O-E)²                   (O-E)²/E

 111                    (0.33*344)=

                             113.52           -2.52             6.3054              0.0555

  39                      51.6               -12.6              158.76               3.0767

  46                       34.4               11.6               134.56              3.911

  14                       20.64              -6.64           44.0896           2.136

  6                        17.2                   -11.2            125.44             7.293

 20                       17.2                    2.8             7.84                 0.4558

108                       89.44                18.56           344. 4736       3.8514              

                              344                                                             20.779    

5) The critical region is χ² ≥  χ² (0.025)6 = 14.45

6) Conclusion:

The calculated  χ²  = 20.779  falls in the critical region  χ² ≥ 14.46 so we reject the null hypothesis that all the means are equal and college undergraduates students do not differ from the general public with regard to their favorite sports.

Given that all the results are lower or higher in percentage, but they do not exceed the 5.5% threshold, it can be said that college undergraduates students do not differ from the general public with regard to their favorite sports.

Since the Harris Poll tracks the favorite sport of Americans who follow at least one sport, and results of the poll show that professional football is the favorite sport of 33% of Americans who folllow at least one sport, followed by baseball at 15%, mens college football at 10%, auto racing at 6%, mens professional basketball at 5%, and ice hockey at 5%, with other sports at 26%, considering a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport produced the following results:

To determine if college undergraduates students differ from the general public with regard to their favorite sports, the following calculation must be performed:

Therefore, given that all the results are lower or higher in percentage, but they do not exceed the 5.5% threshold, it can be said that college undergraduates students do not differ from the general public with regard to their favorite sports.

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The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.

To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.

Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.

Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.

If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.

Starting with an initial guess of, let's say, 7, we can use the formula:

x(n+1) = (x(n) + (57.27/x(n)))/2,

where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.

After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.

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Answer:

24.8!

Step-by-step explanation:

Answer:

elevator travel 4.5 feet per second

Answer: A

Step-by-step explanation:

the answer is A

Answer:

A. (4,3)

Step-by-step explanation:

     The vertex of a parabola is the maximum or minimum point on the graph of the quadratic function aka where you just have "one value" wether than be the very top, the very bottom, etc

In summary:

Here we can see it'll be the very bottom as the parabola is angled upwards.

Looking at the graph, we can see it is 4 units to the right and 3 units up.

The first number is the x, or the right/left, so our first number is 4

The second number is our y, or the up/down, so our second number is 3

This leaves us with the point (4, 3) and an answer of A!

Hope this helps, have a nice day :D

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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Answer:

y = 5

Step-by-step explanation:

12^2 + y = 13^ 2

144 + y = 169

169 - 144 = 25

sqrt of 25 = 5

y = 5

Answer:

A, y=5

Step-by-step explanation:

I just did it right now

Answer:

24n²-20n-16

Step-by-step explanation:

(-8n-4)(-3n+4)

-24n²-32n+12n-16

-2n²-20n-16...

Hope its clear?

Answer:

4/9c

Step-by-step explanation:

When dividing by fraction, multiply by its reciprocal.

so 7a/9bc × 12b/21a = 84ab/ 189abc

Simplify

84/189c

4/9c

Answer: point F is at   0.6   on the number line

=============================================================

Explanation:

The ratio 2:3 scales up to 2x:3x for some positive real number x.

This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.

D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9

Set this equal to the 5x from earlier and solve

5x = 9

x = 9/5

x = 1.8

This leads to 2x = 2*1.8 = 3.6

Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.

Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.

The model predicts the population to be 671,520 in 14 years

An exponential function is a mathematical function of the form \(R^{x}\) where x is a variable and R is a constant.

Exponential functions form exponential curves with decreasing or increasing slope depending on the magnitude of the variable x.

Population, P(t) = 480,000\(e^{-0.024t}\),

when t = 14

substitute t = 14 into the equation,

Population, P(t) = 480, 000\(e^{-0-024 x 14}\) = 480, 000 x 1.399 = 671,520

In conclusion, the Population of the model after 14 years is 671,520

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The unit rate of the relationship will be 10/3. The correct option is C.

The given equation is,

y = 10/3x + 8

The general form of an equation of the line is,

y = mx +  c

here, the slope will be 10/3

Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.

The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.

A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.

The unit relationship will be 10/3.

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The mass of the drug in the organ at time t depends on the concentration of the drug in the blood entering the organ and the rate at which the blood is entering and leaving the organ. This can be calculated by multiplying the volume of the organ by the concentration of the drug in the blood.

At time t, since the rate at which the blood is entering and leaving the organ is 3 cm^3/sec, the amount of drug in the organ is equal to the amount of drug entering the organ plus the amount of drug that was initially in the organ. As there was no trace of the drug initially, the mass of the drug in the organ at time t is 3 cm^3/sec multiplied by the concentration of the drug in the blood (1/3 gm/cm3) multiplied by the volume of the organ (150 cm^3).

Therefore, the mass of the drug in the organ at time t is 150 gm.

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