y=-3x+8 determine the y-value of each ordered pair based on the given x-value

Answer:

Step-by-step explanation:

f(x) = x^2 + 3x - x/2

f(x) = x^2 + 2.5x    

f(6) = 6^2 + 2.5*6

f(6) = 36 + 15

f(6) = 51

Answer:

3:20   OR     3 g : 20 g

600 g to 4 kg

= 600 g to 4000 g

= 6 g to 40 g

= 6:40

= 3:20

Answer:

Step-by-step explanation:

Let's name the three consecutive numbers "x, x + 1, x + 2".

We know that:

Work:

Hence, the numbers are 52, 53, 54.

Answer:

32%

Step-by-step explanation:

30+40+42=112 STRUCK OUT

90+120+140= 35O

112/350 = 0.32X100 = 32%

According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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we know that

10 pages -------> represent 50%

so

Multiply by 2 both sides

20 pages --------> 100%

therefore

Remember that the paper length represent the 100%

10/50=x/100

solve for x

x=10*100/50

Total distance travelled by the honey bee is 4km and honeybee’s displacement is 0

Displacement is defined as the shortest distance travelled by the object.

According to the question we have been given that the honeybee travelled 2km before returning to the hive.

Thus the total distance travelled by the honeybee is = 2 + 2 km

                                                                                             = 4 km

And the honeybee’s displacement = 0

Because the bee has returned to the same from where she had left and displacement is a vector quantity that has magnitude and direction and depends upon the initial and final position. So as the initial and final destination is same for the honeybee. Thus the displacement will be zero.

Hence total distance = 4km

And displacement = 0

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Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

The mode of the data represented in this line plot will be 8.

Simply counting how several times each number looks in the data set can help you identify the mode, which is the integer that repeats the most frequently in the collected data. The figure with the largest total is the mode.

The value that appears the most frequently in data collection is its mode. By examining the line plot, we can observe that the number 8 and the six Xs above it are the most commonly occurring values. Consequently, 8 represents the data set's mode.

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Answer:

C (-∞, -4] [7,∞)

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

$6981

Step-by-step explanation:

If you put $6981 in a deposit and your interest rate is 8.5% monthly it will give you $2,019.62 which then means your total will be $9,000.62

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Answer:

1. 300

2. 200

Hope this helps!

Answer:

30% of 300 = 90

20% of 200 = 40

The length of segment EC is 24 in the given triangle

A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle.

3x=2(x+4)

Apply distributive property on RHS

3x=2x+8

Subtract 2x from both sides

x=8

The segment EC =3x

=3(8)

=24

Hence, the length of EC is 24 in the given triangle

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The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

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Answer:

Below

Step-by-step explanation:

Rate of change (aka the slope) = 2/5

Y Intercept = 10

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;

5 a. The value of a is 3.5

b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel

A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential  function

The function is f(x) = a·log₃(x - 4),

x > 4 and a > 0

The coordinates of a point on the graph of the function, f is A(13, 7)

5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows

f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²

7 = a·log₃3²

7 = 2·a·log₃3 = 2·a·1 = 2·a

2·a = 7

a = 7 ÷ 2 = 3.5

a = 3.5

5 b. The coordinates of the x-intercept of the graph = (5, 0)

The equation of the function is;

f(x) = 3.5·log₃(x - 4)

A third point on the graph is given when f(x) = 14 as follows;

f(x) = 14 = 3.5·log₃(x - 4)

log₃(x - 4) = 14 ÷ 3.5 = 4

3⁴ = x - 4

x = 3⁴ + 4 = 85

Which gives the point, (85, 14)

Similarly, we have the point (31, 10.5), (7, 3.5)

Please find attached the graph of f(x) created with MS Excel

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Answer:

119

Step-by-step explanation:

17 * 8 = 136

136-17 to get the answer

Answer:

The least common multiple of 3, 17, and 51 is 51

Step-by-step explanation:

The LCM is the smallest positive number that all of the numbers divide into evenly.

STEP 1: List the prime factors of each number.

STEP 2: Multiply each factor the greatest number of times it occurs in either number.

Since 3 has no factors besides 1 and 3.

3 is a prime number

Since 17 has no factors besides 1 and 17.

17 is a prime number

51 has factors of 3 and 17.

3⋅17

Multiply 3 by 17.

51

Answer: Points are not following a straight-line pattern

Step-by-step explanation:

Histograms are used to show the distribution of a dataset.

If the histogram is skewed, then it means that the points do not follow a straight-line pattern, on the normal quantile plot.

From the question, we understand that:

The histogram is skewed

This means that:

The data points of the histogram are either concentrated on the right or on the left-hand side of the histogram.

The above highlight mean that:

The points on the histogram are unequal.

Hence, you would see that the points do not follow a straight line pattern on the normal quantile plot.

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Answer: 2151 magazines

Step-by-step explanation: First subtract the whole number of books and magazines by the number of books and you'll find your answers.

Answer:

Step-by-step explanation:

Is 2/10 greater than or lesser than 3/5?

fraction = division

2/10 = 0.2

3/5 = 0.6

2/10 is lesser than 3/5

Answer:

y=1

-4x + y= -3

-3 + 12= 9

y= {4}x + {3}

Step-by-step explanation:

*there is always a inviable 1 in front of a virable by it's self.*

Answer:

2/4

Step-by-step explanation:

2/4 × 2= 4/8 hsuddhskshvshiseu

1/2 or 2/4

4÷8=1/2

4÷2/8÷2=2/4

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

x=3

Step-by-step explanation:

4x+1 = 5x-2

Bringing all like terms together,

5x-4x = 2+1

x = 3

Answer:

x=3

Step-by-step explanation:

4x+1=5x-2

-5x -5x

-x+1=-2

-1 -1

-x=-3

/-1 /-1

x=3

Answer:

y-intercept: (0,3)

Step-by-step explanation:

To find the y-intercept, we set x to equal 0, giving the equation:

-3(0)+2y = 6

0+2y = 6

y = 3