K
For each of the functions y = f(x) described below, find f(0).
(a) x
-1
1 2
f(x)
1
2
(b) y = 12 - 2x2
(c)
-10 -
0
7
조
8
10
IN 2 1
-
3
3
-6
6 8 10

(a) f(0) = ㅁ

The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 \(\times\) (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Step-by-step explanation:

Its is

6CM wide. as to find the area we have to times the length x height :)

Answer:

wide = 6 cm

Step-by-step explanation:

\(t=tall=10\)

\(w=wide=?\)

\(P=perimeter=32\)

The equation:

\(P=2t+2w\)

\(32=2(10)+2w\\32=20+2w\)

\(32-20=2w\\12=2w\)

\(\frac{12}{2} =w\)

\(6=w\)

Hope this helps.

The values of the variables are;

x = 7

y = -9

From the information given, we have that;

5x−y=44

−3x−y=−12

Using the elimination method of solving simultaneous equations

Subtract equation (2) from equation (1), we get;

5x - y - (-3x - y) = 44 - (-12)

Now, expand the bracket

5x - y+ 3x + y = 56

collect the like terms

5x + 3x = 56

add the terms

8x = 56

Make 'x' the subject of formula

x= 7

Now, substitute the value of x in equation (2)

-3x - y = -12

-3(7) - y = -12

expand the bracket

-21 - y= - 12

collect like terms

-y = 9

y = -9

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Answer:

1 and 1/3

Step-by-step explanation:

:)

Answer:

1 1/3

Step-by-step explanation:

Answer:

0,3 hddjbdhfjdndjdkdbdjdnd

\(f(x) = 3^x + \ln x -108 x\\\\f'(x) = 3^x \ln 3 + \dfrac 1x - 108\\\\f''(x) = 3^x \cdot 0+ \ln 3\cdot 3^x\cdot \ln (3)-x^{-1-1}-0= 3^x \cdot \ln^2 3 -x^{-2}\\ \\f'''(x) = 3^x \cdot 0 + \ln^2 (3) \cdot 3^x \cdot \ln (3) +2x^{-2-1} = 3^x \ln^3 (3)+2x^{-3}\\\\f''''(x) = 3^x \cdot 0 + \ln^3 (3) \cdot 3^x \ln(3) -3\cdot 2 x^{-3-1} = 3^x\ln^4 (3)-6x^{-4} \\\\\text{Hence the fourth derivative of f(x) is}~~ 3^x\ln^4 (3)-6x^{-4}.\\\\\)

\(\textbf{Note:}\\\\\dfrac{d}{dx}(uv) = u \dfrac{dv}{dx} + v\dfrac{du}{dx}\\\\\dfrac{d}{dx} \ln (x) = \dfrac 1x\\\\\dfrac{d}{dx} a^x = a^x \ln a\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} (\text{Constant}) = 0\)

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer: \(5\sqrt 5\)

Step-by-step explanation:

Sol \(\sqrt 125\) = \(\sqrt{25.5}\)

= \(\sqrt{25}\)  x  \(\sqrt{5}\)

\(5 \sqrt{5}\)

Answer:

95/28

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

Answer:

18

Step-by-step explanation:

I guesss

To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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The mark up percent on the retail price is 150%.

Since the Sports Brand Company is making a new shoe that has a wholesale price of $60,

and it wishes to advertise a retail price of $150,the markup will be:

= $150 - $60

= $90

Therefore the markup percentage will be:

= Mark up/ Original price × 100

= 90/60 × 100

= 3/2 × 100

= 150%

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Answer:

83

Step-by-step explanation:

666

Answer:

Bananas

Step-by-step explanation:

the solutions are:

The only information of h(x) that we have is the given graph.

To find the value of x, we need to go to the vertical axis and find y = 4, then we move horizontally to the left until we meet the curve.

That intersection will give the value of x for which h(x) = 4.

Doing that, we conclude that h(x) = 4 when x = 0 (on the vertical axis).

Now we want to find h(-2), and we can do that using the graph.

By finding x = -2 on the horizontal axis and then moving up until we intercept the graph, we can see that:

h(-2) = 2

Concluding, the solutions are:

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Answer:Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Answer:

B

Step-by-step explanation:

\( \frac{6}{16} \times 100\% = 37.5\%\)

The misleading about the data shown on the figure is the clas width

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

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

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Mr. Romano's order of 48 lb of beef is false.

Mr. Romano's order of 16 lb of chicken is true.

The ratio of pounds of beef to pounds of chicken that Mr. Romano orders are 3: 2 is false.

The ratio of pounds of chicken to pounds of beef that Mr. Romano orders are 1:3 is false.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of people = 80

Number of pounds of chicken for 5 people = 1

Number of pounds of beef for 10 people = 3

The number of pounds of chicken for 80 people.

= 80/5

= 16 lb

The number of pounds of beef for 80 people.

= 80/10

= 8 lb

The ratio of pounds of beef to pounds of chicken.

= 8:16

= 1:2

The ratio of pounds of chicken to pounds of beef.

= 16:8

= 2:1

Thus,

The number of pounds of chicken for 80 people is 16 lb.

The number of pounds of beef for 80 people is 8 lb.

The ratio of pounds of beef to pounds of chicken is 1:2.

The ratio of pounds of chicken to pounds of beef is 2:1.

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The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

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Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

Answer:

20

Step-by-step explanation:

Scale factor = 8/16 = 1/2

So, 10/x = 1/2

x = 10*2

x = 20

Given:

Total nurses = 500

Half were randomly given a placebo and half were randomly given a new drug

Find-:

Observational study or randomized experiment

Explanation-:

If half randomly placebo

That means 250 nurses with placebo and 250 nurses with new drug

So,

It is an observational study

Answer:

4 hours.

Step-by-step explanation:

Answer:

1  1/15 or 16/15

Step-by-step explanation:

Find the common denominator.

25/15 - 9/15 = 16/15

Have a nice day!!

Hope this helps!!

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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