What is the y-intercept of the function f(x)=4 – 5x?
A:-5
B:-4
C:4
D:-5
​

Answer:

The answer is g(x)=(x-2)^2+1

Step-by-step explanation:

The equation of the blue graph is y = (x - 4)² + 1.

Option D is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The graphs of y = x² and y = (x - 4)² + 1 are both parabolas.

The graph of y = x² is a simple upward-facing parabola that passes through the origin.

As x increases or decreases, the value of y increases but at an increasingly slower rate until it reaches a minimum at x = 0, where it turns back upwards and continues to increase at an increasingly faster rate.

The graph of y = (x - 4)² + 1 is also a parabola, but it is shifted 4 units to the right and 1 unit up compared to y = x².

Thus,

The equation of the blue graph is y = (x - 4)² + 1.

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The given assertion is false. The option for reason is the principal option:

"  An arrangement of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."

An arrangement of linear equations is a grouping of at least one linear equation with similar variables.

A linear framework solution is the task of values to variables so that the equations are all concurrently satisfied.

For an arrangement of equations, three types of solutions exist:-

One solution: When the lines (planes) converge at a point.

No Solution: When the lines (planes) are parallel.

Infinitely numerous solutions: When the lines (planes) overlap one another.

Subsequently, the given assertion is false. The option for reason is the principal option:

" The assertion is false. An arrangement of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."

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refer to the attachment for the complete question:

Answer:

it's the third one trust me

The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

-49.

Step-by-step explanation:

Convert to vertex form:

f(x) = -7x^2 - 14x - 56

     = -7(x^2 + 2x + 8)

     = -7 [(x + 1)^2 - 1 + 8)

      = 7(x + 1)^2  - 49

- so the maximum value is -49.

Answer:

C   D  and E

Step-by-step explanation:

Answer:

8.175$

Step-by-step explanation:

If we do 23+25+(3.25)×2

The sum of all the bought

It will equal to 54.5

So if we do as the waiter planned

We must to 54.5×15%=8.175$

The total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.20.

To calculate the total cost, we need to determine the cost of each type of binder clip separately and then sum them up.

The cost of medium binder clips is $5 per pound, and Kayla purchased 0.1 pounds. Therefore, the cost of medium binder clips is 0.1 pounds * $5 per pound = $0.50.

The cost of jumbo binder clips is $6 per pound, and Kayla purchased 0.2 pounds. Thus, the cost of jumbo binder clips is 0.2 pounds * $6 per pound = $1.20.

Finally, to find the total cost, we add the individual costs together: $0.50 + $1.20 = $1.70.

Therefore, the total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.70.

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Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation:

The value of t for a 99% confidence interval depends on the sample size. With larger sample sizes (typically >30), t approaches the value of Z (standard normal distribution critical value).



In statistical inference, the value of t used for constructing a confidence interval depends on the desired confidence level and the sample size. For a 99% confidence interval, the critical value of t can be determined from the t-distribution table or calculated using software.The value of t for a 99% confidence interval is based on the degrees of freedom, which is generally determined by the sample size minus one (n - 1) for an independent sample. The larger the sample size, the closer the t-distribution approaches the standard normal distribution. For large sample sizes (typically n > 30), the critical value of t becomes very close to the value of Z (the standard normal distribution critical value) for a 99% confidence level.

To calculate the specific value of t, you need to know the sample size (n) and the degrees of freedom (df = n - 1). With these values, you can consult a t-distribution table or use statistical software to find the appropriate critical value. For a 99% confidence interval, the value of t will be higher than the corresponding value for a lower confidence level such as 95% or 90%, allowing for a wider interval that captures the true population parameter with higher certainty.

Therefore, The value of t for a 99% confidence interval depends on the sample size. With larger sample sizes (typically >30), t approaches the value of Z (standard normal distribution critical value).

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Answer: d. The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.

Step-by-step explanation:

A Discrete variable is one that can be determined with absolute certainty because it takes on a particular value. This is unlike a Continuous variable that can take up an infinite value within a data set.

As the number of humans can be determined with certainty because there is no such thing as a partial human and also because the booth will be set up once each day, the graph will have to be Discrete in nature.

Answer:

D

Step-by-step explanation:

I took the test in edge2020

The function for the surface area of the closed box with a square base is \(S(x) = 4x^2 + 8xh\), where x represents the length of the side of the square base and h represents the height of the box. This function takes into account the areas of the square base and the four rectangular sides.

To determine the surface area function, we need to consider the different components of the box's surface. The box has a square base, so the area of each side of the base is \(x^2\). Since there are four sides to the base, the total area of the base is \(4x^2\). Additionally, there are four identical rectangular sides with dimensions x by h, resulting in a total area of 4xh.

Combining the areas of the base and the four sides, we have the surface area function \(S(x) = 4x^2 + 8xh\), which represents the total surface area of the closed box.

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Answer:

Step-by-step explanation:

a. 40 because 25 percent is 1/4th and 160 times 1/4=40

b. 78  because 200 times 39/100 is 78

c. 48 because 32 times 150/100=48

d. 26 because if it is 50 percent it is 1/2 of a number so just multiply

e. 15

f. 70 percent, simplify both numbers to the lowest number possible equal to 21/30 so 7/10 and that is 70 percent

Answer:

21

Step-by-step explanation:

You are 14 right now if you were 7 yo 7 years ago. Add 7 more years to 14 and you get 21

The solution of the inequality x + 3 < 7 is x < 4.

Consider the inequality,

x + 3 < 7

Subtracting 3 from each side of the equation,

x + 3 - 3 < 7 - 3

x < 4

In order to represent x < 4 on a number line, we will follow the steps given below.

Step 1: Mark zero on a number line, then mark equal distances to the right and left.

Step 2: In the given inequality x < 4, the value of x is less than 4. So, we need to move to the left of 4.

Step 3: Mark a black empty circle on 4 and shade the line from 4 towards the left side until the arrow. The circle at point 4 will be left empty because a blank circle shows that 4 is not included. This means that x is less than 5 and not equal to 4.

Hence we get the required number line.

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Answer:

6^2 - (3*-4)+20

6^2 - (-12)+20

36+12+20

48+20

68

Let me know if this helps!

Answer:

68

Step-by-step explanation:

Answer:

203.5

Step-by-step explanation:

Please mark brainliest.

Answer:

Answer is: 203.5

Step-by-step explanation:

Hope this helped YOU! :)

Answer:

The answer to that is 4 and 8

Step-by-step explanation:

Answer:

a:  4 (less than sign) x (less than sign )(Infinty sign)

b:  (Infinty sign)  (less than sign ) y -2  (less than sign )

Step-by-step explanation:

The given series \(\sum_{n=1}^{\infty}\left [ (0.3)^{n-1}-(0.2)^{n} \right ]\) is convergence and the sum of the series is 33/28.

In the given question we have to check whether the series converge or not. If the series does converge, then we have to find the sum.

The given series is \(\sum_{n=1}^{\infty}\left [ (0.3)^{n-1}-(0.2)^{n} \right ]\).

Firstly we check the convergence of the given series.

When a series approaches a limit, it is considered to be convergent if both convergent and divergent behaviour occur. The deletion of a finite number of terms from the beginning of a series has no impact on convergence or divergence.

We can write the series as:

\(\sum_{n=1}^{\infty}\left [ (0.3)^{n-1}-(0.2)^{n} \right ]=\sum_{n=1}^{\infty} (0.3)^{n-1}-\sum_{n=1}^{\infty}(0.2)^{n} \right\)

As |0.3|<1 and |0.2|<1

Then \(\sum_{n=1}^{\infty}(0.3)^{n-1}\text{ and }\sum_{n=1}^{\infty}(0.2)^n\) is convergent.

So \(\sum_{n=1}^{\infty} (0.3)^{n-1}-\sum_{n=1}^{\infty}(0.2)^{n} \right\) is also convergent.

\(\sum_{n=1}^{\infty}\left [ (0.3)^{n-1}-(0.2)^{n} \right ]=\sum_{n=1}^{\infty} (0.3)^{n-1}-(0.2)\sum_{n=1}^{\infty}(0.2)^{n-1} \right\)

Series \(\sum_{n=1}^{\infty}(x)^{n-1}\) converges to 1/x-1 for |x|<1.

\(\sum_{n=1}^{\infty}\left [ (0.3)^{n-1}-(0.2)^{n} \right ]=\frac{1}{1-0.3}-(0.2)\frac{1}{1-0.2}\)

\(\sum_{n=1}^{\infty}\left [ (0.3)^{n-1}-(0.2)^{n} \right ]=\frac{1}{0.7}-\frac{0.2}{0.8}\)

\(\sum_{n=1}^{\infty}\left [ (0.3)^{n-1}-(0.2)^{n} \right ]\) = 10/7 - 1/4

\(\sum_{n=1}^{\infty}\left [ (0.3)^{n-1}-(0.2)^{n} \right ]\) = 33/28

Hence, the sum of the given series is 33/28.

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The right question is:

Determine whether the series is convergent or divergent.

\(\sum_{n=1}^{\infty}\left [ (0.3)^{n-1}-(0.2)^{n} \right ]\)

If is is convergent, find the sum. (If the quantity diverges, enter diverges.)

The correct answer is D. an approximation of the time and expense of the research report.

A research request agreement typically includes all of the following items:

A. the scales for the measures: This refers to the specific measurement scales or instruments that will be used to collect data in the research.

B. the decision problem confronting the manager: This outlines the specific problem or issue that the research aims to address and provide insights for decision-making.

C. the target population from which a sample will be drawn: This defines the specific group or population that the research will focus on and from which a representative sample will be selected.

D. an approximation of the time and expense of the research report: This item is not typically included in a research request agreement. The time and expense of the research report are usually discussed separately during project planning and budgeting.

Therefore, the correct answer is D. an approximation of the time and expense of the research report.

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Answer:

636.9 calories = 21 ounces

Step-by-step explanation:

182 calories= 6 ounces

30.3 calories= 1 ounces

636.9 calories= 21 ounces

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Options 1, 3 and 5. The true statements based on the fact that c and d are parallel are:

The sum of the angles m<4 + m<3 = 180

m<4 + 82 = 180

m<4 = 180 - 82= 98

From the question we have the first as alternate interior angles. The second is corresponding angles and the last option is vertical angles.

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Answer:

x=52 Y=50 Z=45

Step-by-step explanation:

hope this can help you

Step-by-step explanation:

The amplitude is the value that the cosine is being multiplied by.

The general equation of a sinusoid is

\( a \cos(b(x + c) ) + d\)

where a is the amplitude

\( \frac{2\pi}{ |b| } \)

is the period

-c is the phase shift

d is the midline(vertical shift)

Here the amplitude is -1/2 so b is the correct answer.

Answer:

the amplitude of the function that is y= -1/2 cos x, is 1/2.

Step-by-step explanation:

The variables that the organizer can consider removing from the regression model are the Number of male visitors and Number of performance.

Based on the regression table provided, we can answer this question. The following is the regression table:Regression output table for night street fair variableNameCoefficientStandard Errort-StatP-ValueConstantb0.340.1402.430.023Number of male visitorsb10.6130.51320.750.462Number of female visitorsb10.9070.57918.830.000Number of retail standsb0.1160.0452.570.016Number of food (and beverage) standsb0.3160.0575.500.000Number of performanceb0.1460.1071.360.184The null hypothesis is rejected if p-value < 0.1; that is, there is a significant difference between the independent and dependent variables. The p-value of the Number of male visitors, the Number of female visitors, the Number of retail stands, the Number of food (and beverage) stands, and the Number of performances variables are 0.462, 0.000, 0.016, 0.000, and 0.184, respectively. As a result, the variables that are significant at the 10% level are the Number of female visitors, the Number of retail stands, and the Number of food (and beverage) stands. Therefore, the organizer should consider removing the Number of male visitors and Number of performance variables from the regression model. The variables that the organizer can consider removing from the regression model are the Number of male visitors and Number of performance.

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Answer:

35$

Step-by-step explanation:

Set up a proportion

5hr=25

7hr=x

Cross multiply

5x=175

divide both sides by 5

x=35$