Equation in point slope form (5,-12);m=-2/3

Given:

The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function.

To find:

The function.

Solution:

In option A,

[tex]h(x)=x^2+2[/tex]

Putting x=0, 1, 2, 3 respectively, we get

[tex]h(0)=(0)^2+2=2[/tex]

[tex]h(1)=(1)^2+2=3[/tex]

[tex]h(2)=(2)^2+2=6[/tex]

[tex]h(3)=(3)^2+2=11[/tex]

The function passes through the points (0,2), (1,3), (2,6), and (3,11). So, [tex]h(x)=x^2+2[/tex] is the required function.

In option B,

[tex]h(x)=0.5x^2+1.5[/tex]

At x=0,

[tex]h(0)=0.5(0)^2+1.5=1.5\neq 2[/tex]

So, option B is incorrect.

In option C,

[tex]h(x)=2x^2[/tex]

At x=0,

[tex]h(0)=2(0)^2=0\neq 2[/tex]

So, option C is incorrect.

In option D,

[tex]h(x)=x+2[/tex]

At x=2,

[tex]h(2)=(2)+2=4\neq 6[/tex]

So, option D is incorrect.

Therefore, the correct option is A.

Answer:

those criteria define a square or a rhombus

Step-by-step explanation:

if there was another fact about the angle measures, for example if it said all my angles are equal then it would be a square, not a rhombus

Answer:  x=3.40

Step-by-step explanation:  apply exponent rule    xln(3)= ln(42)

                                             solve xln(3)=ln(42): x=ln(42)/ln(3)   (fraction form)

                                              (decimal) 3.40217...   round it to the nearest hundreth= 3.40

I do not know if this is correct.

Answer:

x = 4.5

Step-by-step explanation:

0.2(-3) + 5.1 = -0.6 + 5.1 = 4.5

Answer:

Approximately normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

The shape of the sampling distribution of the sample mean distance is approximately normal

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5

meters.

Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample

When a population is normally distributed, the sampling distribution of the sample mean x will also be normal regardless of sample size.

Since the distribution of distances is normal, the sampling distribution of the sample mean distance will also be normal.

Hence, the shape of the sampling distribution of the sample mean distance is approximately normal

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Answer:

slope: 3/1.5

Step-by-step explanation:

You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5

Answer:

Forgot to turn the 7% into a 0.7... if you dont do that, then it will come out larger then it was supposed to be :)

Answer:

Sample response: Juanita did not change the 7% to the decimal 0.07. When she completes the problem as written, the interest will be greater than the money she borrowed.

Step-by-step explanation:

This is a sample response, be sure to change the wording up a bit.

Answer:

32

Step-by-step explanation:

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Answer:

Aaron completed the race in 9 days.  Mitch finished in the race in 8 days 20  hours. Dallas finished in 8 days 18 hours

Step-by-step explanation:

1. Dallas won the race. 8 days 18 hours

2. Mitch came in second. 2 days 5 hours x 4= 8 days 20

3. Aaron was 3rd. 4 days 12 hours x 2= 9 days

Answer:

105

Step-by-step explanation:

your answer is 105.

Answer:

The Answer is A or the first one, NOT C. C is wrong.

Step-by-step explanation:

The transformations that map ΔABC to ΔA"B"C" will be reflection cross x-axis and translation of (x - 6, y - 2). Then the correct option is B.

A point, line, or numerical figure can be changed over in one of four ways, and each affects the item's design as well as position. Picture, after interpretation, alludes to the article's definitive association and situation. Not long before the alludes to the material's underlying condition.

The interpretation doesn't change the shape and size of the calculation. However, changes the area.

The reflection doesn't change the shape and size of the math. However, flipped the picture.

The changes that map ΔABC to ΔA"B"C" will be reflection cross x-pivot and interpretation of (x - 6, y - 2). Then, at that point, the right choice is B.

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The complete question is given below.

Answer:

26;40  simplified is 13/20

Step-by-step explanation:

Answer:

What is the total surface area of a cube with an edge on 4 1/2 feet... 121.5 feet

Step-by-step explanation:

Surface area = 6 × 4 1/2 × 4 1/2

Surface area = 121.5

Step-by-step explanation:

[tex]y = a {b}^{x} \\ approximately \\ y=25.9*1.278^x[/tex]

Answer:

15

Step-by-step explanation:

The ratio of trucks to cars is 6x/10. And in the problem it says that there are 25 cars. So, 10x = 25, x = 5/2. Then, 6x = 15

Answer:

d = 10

Step-by-step explanation:

A = πr²

81 /π = r²

r² ≈ 25

r = 5

d = 5(2) or 10

Answer:

[tex]\bar x = 34.7[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Age} & {Fatalities} & {11 - 20} & {340} & {21-30} & {1527} & {31-40} & {866} & {41-50} & {693} & {51-60} & {423} & {61-70} & {123} \ \end{array}[/tex]

Required

Calculate the mean

The given data is a grouped data. So, we need to calculate the class mid -point first.

This is done by calculating the average of the class intervals.

So, we have:

[tex]\begin{array}{ccc}{Age} & {Fatalities} & {x} & {11 - 20} & {340} & {15.5} & {21-30} & {1527} &{25.5}& {31-40} & {866} & {35.5} & {41-50} & {693} & {45.5} & {51-60} & {423} & {55.5} & {61-70} & {123} & {65.5}\ \end{array}[/tex]

For 11 - 20, the midpoint is: [tex]x =\frac{1}{2}(11+20) = \frac{1}{2}*31=15.5[/tex]

For 21 - 30, the midpoint is: [tex]x =\frac{1}{2}(21+30) = \frac{1}{2}*51=25.5[/tex]

.....

For 61 - 70, the midpoint is: [tex]x =\frac{1}{2}(61+70) = \frac{1}{2}*131=65.5[/tex]

The mean is then calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{(15.5 * 340) + (25.5 * 1527) + (35.5 * 866) + (45.5 * 693) + (55.5 * 423) + (65.5 * 123)}{340 + 1527 + 866 + 693 + 423 + 123}[/tex]

[tex]\bar x = \frac{138016}{3972}[/tex]

[tex]\bar x = 34.7472306143[/tex]

[tex]\bar x = 34.7[/tex] --- approximated

The mean is approximately 34.7

Answer:

c and d

Step-by-step explanation:

Answer:

2= 28+42=70

Step-by-step explanation:

Answer:

11bus fuller last bus 10

Step-by-step explanation:

25×11=275

10

Answer:

The mean of the lengths is 0.35 tenths of millimeters

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and it's mean is given by:

[tex]M = \frac{a+b}{2}[/tex]

The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8.

This means that [tex]a = 0, b = 590.8 - 590.1 = 0.7[/tex]

So, the mean is:

[tex]M = \frac{a+b}{2} = \frac{0 + 0.7}{2} = 0.35[/tex]

The mean of the lengths is 0.35 tenths of millimeters

The obtuse angles from the given list are D (between 90° to 180°) and E (111° angle). Thus, the answer is D, E.

The angles are given as follows:

A: less than 45°

B: greater than 270°

C: right angle

D: between 90° to 180°

E: A 111° angle

F: A 222° angle

G: A 0.180° angle

H: A 180.180° angle

To identify which angles are obtuse, we need to determine the angles that are greater than 90 degrees but less than 180 degrees.

Among the given angles:

A: less than 45° (not obtuse)

B: greater than 270° (not obtuse)

C: right angle (not obtuse)

D: between 90° to 180° (obtuse)

E: 111° angle (obtuse)

F: 222° angle (not obtuse)

G: 0.180° angle (not obtuse)

H: 180.180° angle (not obtuse)

Therefore, the obtuse angles from the given list are:

D (between 90° to 180°)

E (111° angle)

The answer is D, E.

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Answer:

x=10

Step-by-step explanation:

Answer:

ben earned the highest grade

Step-by-step explanation:

ben had the highest, sarah had the lowest

student             score

jim                     85%

sarah                 84%

ben                    86%

Answer:

Ben got the highest

Step-by-step explanation:

Sarah=84%

Jim=85%

Ben=86%

Step-by-step explanation:

ang qt ko share ko lang bleeeh