Find a linear function that models the data in the table.

f(x)= *blank* x + *blank*

Step-by-step explanation:

1/3 x 1/2

3 x 2=6

so ∴1/3 x 1/2=1/6

Answer:

21 mg

Step-by-step explanation:

0.7 × 2 × 15 = 21

Answer:

f(-2) = 2

Step-by-step explanation:

I'm assuming "-6x2" is actually "6x^2"

f(x) = -6x^2 - 5x + 4

Plug in -2 for the x's

f(-2) = -6(-2)^2 - 5(-2) +4

f(-2) = -6(2) - 5(-2) + 4

f(-2) = -12 + 10 + 4

f(-2) = -12 + 14

f(-2) = 2

Answer:

Slope=3

Step-by-step explanation:

Slope=Rise/Run=(11-2)/(6-3)=9/3=3

Answer:

The slope is 3.

Step-by-step explanation:

Use the slope formula.

[tex] slope = m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

We use the y-coordinates of the two points as y2 and y1.

We use the x-coordinates of the two points as x2 and x1. x2 goes with y2. x1 goes with y1.

[tex] slope = m = \dfrac{11 - 2}{6 - 3} = \dfrac{9}{3} = 3[/tex]

The slope is 3.

Set contain all the elements present in both the sets.

Step-by-step explanation:

Definition:

The union of two mathematical sets can be defined as the set that consists of all the elements present in both the sets without the repetition of elements.

Consider, A  and B be the sets.

A =  {1,7,5,6,0}

B = {2,3,4,5,6}

U is the symbol of union of sets, so A U B = {1,2,3,4,5,6,7,0}

Here 5 and 6 are the elements present in both the sets, so written only once in the set of A U B.

Answer:

Step-by-step explanation:

hello : look this solution

Final answer:

To find the width of a rectangular state park with an area of 84 square miles where the length is 2 miles longer than twice the width, we set up a quadratic equation and solve for the width. The width of the park is 6 miles.

Explanation:

The question involves solving a quadratic equation to find the width of a rectangular state park where the length is 2 miles longer than twice its width, and the area is 84 square miles. To solve this problem, let's let w represent the width of the park.

According to the problem, the length l can be expressed as:

l = 2w + 2

The area A of a rectangle is given by the formula:

A = l × w

Substituting the given area and the expression for the length, we have:

84 = (w)(2w + 2)

Which simplifies to:

84 = 2w² + 2w

And further simplifies to:

0 = 2w² + 2w - 84

Dividing the entire equation by 2 to simplify:

0 = w² + w - 42

Now, we solve this quadratic equation for w, the width of the park. Using the quadratic formula or factoring (if possible), we find the positive value of w, which could be the width of the park since a width can't be negative:

w = 6

So, the width of the park is 6 miles.

Answer:

4 1/2

Step-by-step explanation:

x/6 = 15/20

Cross multiply

X x 20 = 6 x 15

20x = 90

Divide both sides by 20

x = 90/20

x = 9/2

x = 4 1/2

Answer:

5.2683 x 10^4

Step-by-step explanation:

hope that help

Answer:

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

b. For what number of posters is the cost the same for both companies?

c. Which company do you think the class should buy posters from?

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?

What factors influenced your decision?

Explanation:

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

Clear prints

Call p, the number of posters. The cost is the number of posters, p. times the unit cost per poster ($2):

Sue

Using the same variable, p, for the number of posters, the cost is the flat rate, $15, plus the number of posters multiplied by the unit cost per poster, $0.50:

The equations fhat Ichiro could use to calculate the cost for any number of posters, are:

b. For what number of posters is the cost the same for both companies?

Solve the system: equate both equations:

Conclusion: For 10 posters the cost is the same for both companies.

c. Which company do you think the class should buy posters from?

It depends on the budget and the number of posters desired.

You can calculate the range in which the cost is lower by one company of the other.

You already know that if you are ordering 10 posts, the cost is the same for both companies.

How much is that cost? Compute Cost (10):

What happens if the number of posters is less or greater than 10.

Solve an inequality:

Hence,

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

In this case the decision is driven by the buget.

How may posters can the class order to pay $18?

With Clear Prints:

With Sue:

Then, with a budget of $18, the class should buy posters from Clear Print.

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?

Repeat the calculations:

For Clear print:

For Sue:

With a budget of $38 the class can buy more posters from Sue.

What factors influenced your decision?

Answer:

3 meters

Step-by-step explanation:

Area of a Triangle

= 1/2 x b x h

Given

Base Length b = 2.5 meters

Area = 3.75 square meters

Height h = ?

Therefore

3.75 = 1/2 x 2.5 x h

3.75 = 2.5/2 x h

3.75 = 1.25 x h

Divide both sides by 1.25

3.75/1.25 = 1.25/1.25 x h

3 = h

h = 3 meters

The sail is 3 meters tall

The perpendicular of the line is -4/3.

Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular sign ⊥ , can be used to visually depict the state of perpendicularity. It can be defined between two planes, two lines, or two planes and another line.

Given a line has a slope of 3/4.

So the slope of the line perpendicular will have the opposite reciprocal as a slope,

That means perpendicular of a line = - reciprocal of slope of the line

perpendicular of a line = - (4/3)

Therefore the perpendicular of the line is -4/3.

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Answer:

Mount Everest is taller by 9,688 ft.

Step-by-step explanation:

Find the difference between the heights.

29,028 - 19,340 = 9,688

Let's see by using the Pythagorean theorem.

3 and 4 are legs. 3 is the shortest leg.

7 is the hypotenuse.

The theorem states that:

a² + b² = c²

a = 3

b = 4

c = 7

3² + 4² = 7²

9 + 16 = 49

25 = 49 (Incorrect)

So it is not possible for 3,4,7 to be a right triangle.

The numbers 3, 4, and 7 do not satisfy the Pythagorean theorem, as the sum of the squares of 3 and 4 is 25, which does not equal the square of 7 (49). Hence, these numbers cannot form a right triangle.

To determine if the numbers 3, 4, and 7 can form the sides of a right triangle, we use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we would expect the square of the longest side (7) to be equal to the sum of the squares of the other two sides (3 and 4).

Calculating, we have:
32 + 42 = 9 + 16 = 25.
The square of the longest side is 72 = 49.

Since 25 does not equal 49, the sides 3, 4, and 7 do not satisfy the Pythagorean theorem and therefore cannot form a right triangle.

Answer:

3/9

Step-by-step explanation:

Answer: d-16/3=4

Step-by-step explanation: thats the equation!

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Final answer:

The equation representing the statement "The quotient of d minus 16 and 3 is 4" is (d - 16) / 3 = 4. By solving the equation, we find that d = 28.

Explanation:

The question asks to find the equation that represents the statement: "The quotient of d minus 16 and 3 is 4." This translates to a mathematical equation by dividing the difference of d and 16 by 3, which equals 4. The equation that shows this relationship is (d - 16) / 3 = 4.

To solve this equation for d, you can follow these steps:

Multiply both sides of the equation by 3 to eliminate the denominator: (d - 16) = 12.

Add 16 to both sides of the equation to solve for d: d = 12 + 16.

This gives you d = 28 as the solution.

Therefore, the equation that accurately represents the given statement is (d - 16) / 3 = 4, and the value of d that satisfies this equation is 28.

Answer:

9.4 units.

Step-by-step explanation:

Given information: |OQ| = 9.4 units, |OQ’| = 17.1 units, and |P’Q’| = 17.1 units.

Dilated figure is similar to the original figure. It means the corresponding sides are proportional.

[tex]\dfrac{|OQ|}{|OQ'|}=\dfrac{|PQ|}{|P'Q'|}[/tex]

Substitute the given values.

[tex]\dfrac{9.4}{17.1}=\dfrac{|PQ|}{17.1}[/tex]

Multiply both sides by 17.1.

[tex]\dfrac{9.4}{17.1}\times 17.1=\dfrac{|PQ|}{17.1}\times 17.1[/tex]

[tex]9.4=|PQ|[/tex]

Hence, the measure of |PQ| is 9.4 units.

Final answer:

Compound interest is the concept discussed in this question. It refers to the interest calculated on both the initial principal amount and any accumulated interest from previous periods.

Explanation:

The subject of this question is Mathematics. Specifically, it relates to the concept of compound interest. Compound interest is the interest that is calculated on both the initial principal amount and any accumulated interest from previous periods. In this case, Angela is choosing between having $1,000 now or investing it in a savings account to have $1,050 a year from now. The $50 earned is the result of the interest earned on the initial $1,000.

Answer:

$8.80

Step-by-step explanation:

Answer:

$8.80

Step-by-step explanation:

110% is the whole cost plus 10%. you have you're cost at 8$ add 10% and that is 80 cents.

Solution:

Given that,

Jim earned $700 this week

This was $20 less than four times the amount he earned last week

To find: amount of money Jim earned last week

Let "x" be the amount of money Jim earned last week

From given,

Jim earnings this week = $20 less than four times the amount he earned last week

Therefore,

700 = 4x - 20

Thus the equation is found

Answer:

Below.

Step-by-step explanation:

They are all the same shape.

Also, the only parameter of a sphere that can vary is the radius, so they are all similar.

Answer:

B: M

C: Side AB is 20ft

C: Perimeter = 96ft

Answer:

you could graph y = 1.5x and y=60, then the intersection at (40,60) represents the solution of the equation.

Answer:

The answer is the second one because it is less than or equal to 35

Answer:

Second one

Step-by-step explanation:

A) No one in the class studied more then 5 hours

Answer:

d

Step-by-step explanation:

trust me

Answer:

23

Step-by-step explanation:

Sum of angles = (n - 2) x 180

3780 = (n - 2) x 180             Divide both sides by 180

21 = n - 2

+ 2     + 2                              Add 2 to both sides

23 = n

The shape has 23 sides.

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The polygon having the sum of the interior angles 3780° have 23 sides.

The inner of the two angles formed where two sides of a polygon come together is called the interior angle.

Given that, the sum of the interior angles of a polygon is 3780, we need to find the number of sides of the polygon,

We know that,

The formula for calculating the sum of interior angles is (n-2) × 180° where is the number of sides.

Therefore,

3780° = (n-2)×180°

n-2 = 3780° / 180°

n-2 = 21

n = 21+2

n = 23

Hence, the polygon having the sum of the interior angles 3780° have 23 sides.

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Answer:

4

Step-by-step explanation:

5.728 rounds up to 6 because it is greater than 5.50 and 2.317 rounds down to 2 since it is less than 2.5. 6 - 2 = 4.

Final answer:

To estimate the difference between 5.758 and 2.317, you round 5.758 up to 6 and 2.317 down to 2, and then subtract to get an estimated difference of 4.

Explanation:

The student is asking how to estimate the difference between two numbers by rounding them to the nearest whole number before subtracting.

To estimate the difference between 5.758 and 2.317, we first round each number to the nearest whole number:

5.758 rounds up to 6 because the first digit after the decimal (7) is greater than 5.

2.317 rounds down to 2 because the first digit after the decimal (3) is less than 5.

After rounding the numbers, we perform the subtraction:

6 - 2 = 4

Therefore, the estimated difference is 4.

Answer:

a) Positive Correlation

b) 69.5

c) Base advertisement fee    

Step-by-step explanation:

a) Relationship between money spent on advertising and items sold

If we spent greater amount of money on advertisement, thus, we create more awareness and thus, the number of item sold increases.

Similarly, if less money is spent on advertisement, the number of items sold will be less.

Thus, the money spent on advertisement varies directly with the number of items sold.

Thus, they have a positive relationship or a positive correlation.

b) Money spent in advertising to sell 30 items

We are given the function:

[tex]y= 1.6x+ 21.5[/tex]

We put x = 30

[tex]y(30)= 1.6(30)+ 21.5\\y(30) = 69.5[/tex]

Thus, the score predicted by model is 69.5 units.

c) Interpretation of 21.5

Comparing the equation to a general linear equation, we get

[tex]y = mx + c[/tex]

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

y-intercept tells us the value of function when x is zero.

Thus, for the given scenario it will tell about the basic advertisement fee to be paid if we want to sell 0 products.

Comparing we get,

c  = 21.5

Interpretation:

Thus, 21.5 units is the basic amount of advertisement fee that needed to be paid( the number of items sold is 0)

Answer:

First, you know that a triangle has 180° total. So, you take 180-38-25 and that equals 117. So the corner inside the triangle is 117. So a straight line is also equal to 180. You take 180-117 and that is 63. 4x+3 = 63. You subtract 3 from both sides and get 4x = 60. To get x by itself you divide by 4 and x = 15.