What is the equation of the following line written in slope-intercept form.
y = 2 /3 x + 9 /2
y = 3 /2 x - 9 / 2
y = - 3 /2 x - 3 / 2

Answer: A. -1

Step-by-step explanation:

Δy / Δx

=3 - 7 / 2 --2

=-4 / 4

=-1

The final answer after subtraction is - 6x² + x - 18.

What is quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

What is subtraction?

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −.

Given,

(8x2 - 16x - 9) - (14x² - 17x + 9)

Subtract

= 8x² - 16x - 9 - 14x² + 17x + 9)

= 8x² - 16x - 9 - 14x² + 17x - 9

= - 6x² + x - 18

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Answer:

[tex] - \frac{1}{3} [/tex]

Step-by-step explanation:

The slope of a line passing through two points is given by

[tex]\boxed{\text{Slope} = \frac{y_1 - y_2}{x_1 - x_2} }[/tex]

where [tex](x_1,y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate

Given: (3, 0) and (0, 1)

Slope

[tex] = \frac{0 - 1}{3 - 0} [/tex]

[tex] = - \frac{1}{3} [/tex]

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Answer:

Step-by-step explanation:

ANSWER:

Mean: 512 calories

Median: 550 calories

STEP-BY-STEP EXPLANATION:

The first thing is to determine the data necessary to calculate the mean and median, according to the statement, the data is as follows:

The mean is the average value of a set of numeric data, calculated as the sum of the set of values divided by the total number of values:

The median is a central position statistic that splits the distribution in two, that is, it leaves the same number of values on one side as on the other. To calculate the median it is important that the data are ordered from highest to lowest, or conversely from lowest to highest, therefore, we organize:

The value in the middle after arranging is 550, therefore the median is 550 calories.

The probability a random selected person will receive a flu is 0.6031

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

To solve this problem, we just simply need to just find the decimal value of the given fraction.

[tex]\frac{117}{194} = 0.6031[/tex]

The probability of the event occurring is 0.6031

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complete question

Compute the following probabilities. What is the probability that a randomly selected person received a flu vaccination 117/194. Write the probability value in decimal.

The sum of the interior angles of a triangle must add 180°.

C : 20 + 80 + 100 = 200 NO

D : 35+35+105 = 175 NO

A : 10+ 10+160 = 180 Yes

B : 15 +75 + 90 = 180 Yes

E :60+60+60 = 180 Yes

Since 1 meter = 100 cm

Then to change from cm to meter, divide by 100

Since there is 63 cm, then divide it by 100

The fraction of a meter is 63/100

We need to find the percentage of the discount over a camera that had previously cost $600 and now is on sale for $204.

In order to find that percentage, we need to find the total discount (previous cost minus cost on sale) and then divide the result y the previous cost.

The total discount is:

Then, dividing this result by the previous cost, we obtain:

Now, we can write it as a percentage:

Answer: 66%

Consider that √15 and √12 can be written as follow:

√15 = √(3*5)

√12 = √(3*4)

Moreover, √15*√12 = √(15*12). Then, you can write:

√(15*12) = √(3*5*3*4) = √(3^2*2^2*5) = 3*2√5 = 6√5

Hence, the equivalent expression is 6√5

Answer:

37,123.52

Step-by-step explanation:

I hope this helps! c:

Answer:

37 ,123.52

Step-by-step explanation:

- The first figure corresponds to the clue#4. Because this figure has a the form of a pyramid.

- The second figure has the following area:

A = 2(4 cm)(5 cm) + 2(2 cm)(4 cm) + 2(5 cm)(2 cm)

A = 40 cm² + 16cm² + 20cm²

A = 76 c²

Hence, the second figure corresponds to clue#3

- The third figure is a triangular prism. Then, it corresponds to clue#2

- The four figure is composed by 6 squares. Its total area is the area of one square multipled by 6. Then, it correspondds to clue#1

1) Let's rewrite that radical, in a way that we can eliminate the fourth root:

2) This way we can get rid of the fourth root by raising to the power (in this case 8) as the index of the root (4).

3) Hence, one possible way to rewrite it with no root is

The mistake Ross has made was in line 2, and it is that we can only combine like terms, that is, terms that have the same variable at the same power. So

We cannot performe this operation.

Given

Total investment of $3,300

5% profit and 2% profit totaling $126

The equations therefore will be

Use substitution method using the first equation

Now that we have solve for x, substitute it to the first equation to get the value of y

Therefore, the amount invested in mutual fund that earned 5% was $2000, and the amount invested that earned 2% was $1300.

Relationship between

are not vertical angles because vertical angles are opposite by vertex

are not complementary because they dont sum 90°

are not suplementary because they dont sum 180

then right option is none of the above

We have the points A(-2, 5) and B(12, 0).

And we must find the coordinates of the point P on directed line segment AB that partitions AB in the ratio of 4 to 1.

To find the coordinates we must use the next equations

Where (x1, y1) and (x2, y2) are the given points and a:b is the given ratio.

- x-coordinate

- y-coordinate

Finally, the point P is

We going to use the normal distribution graph

First we got a mean of 208 and a standard deviation of 38

Now

In the middle of the graph, we have the mean, then every section is added/subtracts an std to the mean. In our case with one std we get the values that we are looking.

Answer: The percentage of students scored between 170 and 246 on the exam is 68%.

The expression 11⁹ / 15⁶ to the fourth power is equivalent to 11³⁶ / 15²⁴

An equation shows the relationship between two or more numbers and variables.

Giving the exponents:

11⁹ / 15⁶ to the fourth power

Representing this equation in exponent form:

(11⁹ / 15⁶)⁴

Applying the law of exponents:

(11⁹)⁴ / (15⁶)⁴

= 11³⁶ / 15²⁴

The equation (11⁹ / 15⁶)⁴ gives 11³⁶ / 15²⁴

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SOLUTION:

Case:

Given:

Required:

Method:

Final answer:

Answer:

B see my photo. hope it helps

Answer:

-3/2

Step-by-step explanation:

-2/3 × 1/6 = -12/3

3/4 × -12/3 = -36/12 = -3

-3 × 1/2 = -3/2

Answer:

182

Step-by-step explanation:

488 ÷ 2 = 244

244 + 62 = 306

488 - 306= 182

Given the points:

You can use the formula for calculating the distance between two points:

Where the points are:

In this case, you can set up that:

Then, substituting values into the formula and evaluating, you get:

Therefore, the answer is: Option 4.

The volume of any solid is the product of the base area and the height

Let us find the area of the base of the given figure and multiply it by the height

The base is a right triangle of legs 9 mm and 26 mm, then its area is

The height of the solid is 24 mm, then

The volume of the figure is 2808 cubic mm

Answer C

Given: (2x+3x - 1) and (3x+5)

The product of them will be as follows:

we have the following:

therefore, x intercept:

y intercept:

The answer is:

x-intercept: (-3,0)

y-intercept: (0,4)

The R= {y | y is an integer and -5 ≤ y ≤ -4} is null set because there is no integers between -5 and -4.

The set is

R= {y | y is an integer and -5 ≤ y ≤ -4}

An integer is a combination of number zero, all the positive numbers and negative numbers without any fraction.

Any set that does not contains any numbers or elements is called null set, which is also called empty set or void set. Null set can be denoted as {} or ∅.

The set is R= {y | y is an integer and -5 ≤ y ≤ -4}

There is no integers between -5 and -4, therefore it is a null set

Hence, The R= {y | y is an integer and -5 ≤ y ≤ -4} is null set because there is no integers between -5 and -4.

The complete question is :

Write the set in roaster form R= {y | y is an integer and -5 ≤ y ≤ -4}

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Answer:

y = [∛(x-6)] - 2

Step-by-step explanation:

To find the inverse :

Solve for x using balancing method or solve and ping method:

y= (x-2)³+6

y - 6 = (x+2)³

∛(y-6) = x+2

[∛(y-6)] - 2 = x

x = [∛(y-6)] - 2

Swap x and y :

y = [∛(x-6)] - 2

This is the inverse of y = (x - 2)³ +6

Hope this helped and have a good day

Determine the number of oranges in every box.

For row number 1:

For row number 2:

For row number 3:

For row number 4:

For row number 5:

Since number of oranges in one box in every row except (Row number 1) is 13. In row number 1, number of oranges in one box is 6.5. So Sal's error is in row number 1.

Answer A: Row number 1

PART B:

As number of orange in one box in every row (Except row 1) is 13. So every box in row number 1, must contain 13 oranges. There are 2 boxes in row number 1.

Determine the number of oranges in row number 1.

So correct number of oranges in row number 1 is 26.

Answer B: 26.