INTEGER REAL-WORLD PROBLEMS I DONT KNOW HOW TO DO THIS PLEASE I WILL GIVE BRAINILEST !!!!!

The smallest to the largest side is SQ, RS, QR, the correct option is B.

A triangle is a polygon with three sides, angles, and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse, acute and right-angled triangle and scalene, isosceles and equilateral triangle.

The measure of angle of the triangle is 56°, 83°, and 41°.

From the property of the triangle, the side opposite the bigger measure angle is the largest.

The measure of angle QRS is 41°, angle RQS is 56°, and angle QSR is 83°.

The smallest side will be the side opposite to QRS, i.e. SQ,

The largest side will be the side opposite to QSR, i.e. QR

The side in order from the smallest to the largest, SQ, RS, QR.

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The points on the scatter plot show the different predictions. The straight line drawn is called the line of regression.

Errors in prediction for each point can be determined by drawing a vertical line from the point to the line of regression. As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.

The graph that represent this data using the points is added as an attachment

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

The x and y values

Where

x = stars

y = price

To determine the graph that represent the data, we enter the x and y values in a graphing tool to create the graph

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Answer:

Step-by-step explanation:

5(-3)^2 - 2

5(9) - 2

45 - 2 = 43

The slope of the line describes by the table is 0.1.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

The table represents Bike ride, where x represents the number of minutes in 'x' and y represents the number of kilometers.

We know, slope(m) = (y₂ - y₁)/(x₂ - x₁).

Slope(m) = (1.0 - 0.5)/(10 - 5).

Slope(m) = 0.5/5.

Slope(m) = 0.1

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A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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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:

\(f(x)=x(x-1)(x^2-2x+2)\)

Step-by-step explanation:

The standard polynomial is given by:

\(f(x)=a(x-p)(x-q)...\)

Where a is the leading coefficient and p and q are the zeros.

We are given that the zeros are x = 0, 1, and 1 + i.

First, by the Complex Root Theorem, if 1 + i is a zero, then 1 - i must also be a zero.

Therefore:

\(f(x)=1(x-(0))(x-(1))(x-(1+i))(x-(1-i))\)

Simplify:

\(f(x)=x(x-1)(x-(1+i))(x-(1-i))\)

Expand the third and fourth factors:

\((x-(1+i))(x-(1-i))=(x-(1+i))(x)-(x-(1+i))(1-i)\)

Distribute:

\(=x^2-x-ix-(x(1-i)-(1+i)(1-i))\)

Expand:

\(=x^2-x-ix-x+ix+(1-i+i-i^2)\)

Therefore:

\(=x^2-2x+(2)=x^2-2x+2\)

Hence, our polynomial function is:

\(f(x)=x(x-1)(x^2-2x+2)\)

The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

The point that could represent the numbers of adults and child haircuts that meet the stylist goals is 25, 0.

Since the hairstylist change $15 for an adult haircut and $9 for a child haircut, then using 25, 0 will be:

= 15(25) + 9(0)

= 375 + 0

= $375

Therefore, she has earned at least 360 dollars and cut about 25 haircuts this week.

In conclusion, the correct option is A.

Answer:

No

Step-by-step explanation:

to determine if (- 5, 3 ) is a solution substitute the x- coordinate into both equations and if the value of y is equal to the y- coordinate then the point is a solution to the system.

y = x - 6 = - 5 - 6 = - 11 ≠ 3

y = - 2x - 7 = - 2(- 5) - 7 = 10 - 7 = 3

since both equations are not satisfied , then

(- 5, 3 ) is not a solution to the system

The addition of the polynomials x⁴ - 3x + 1, 4x² - 2x + 8, x³ - 9 in descending powers of x is x⁴ + x³ + 4x² - 5x.

Adding the polynomial

(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)

= x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9

= x⁴ + x³ + 4x² - 3x - 2x + 1 + 8 - 9

= x⁴ + x³ + 4x² - 5x

Therefore, the addition of the polynomials x⁴ - 3x + 1, 4x² - 2x + 8, x³ - 9 in descending powers of x is x⁴ + x³ + 4x² - 5x.

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Answer:

17

Step-by-step explanation:

We plag the var in first

3(7)-4

21-4

17

Answer:

17

Step-by-step explanation:

3(7) - 4

21 - 4

17

Hope this helps!

Answer:

25 + 9^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

There is 12 inches in a foot:  therefore, 12inches  x 7ft. = 84 ft.

Answer: 84 inches

Step-by-step explanation:

A conversion factor is a number that is used to multiply or divide one set of units into another.  For instance, 12 inches equals one foot when converting between inches and feet.

Since 1 foot = 12 inches

And we are trying to figure out how much inches are in 7 ft.

We can create a conversion (or cross multiply)

\(\frac{12}{1} =\frac{x}{7}\)

Where inches are in the numerator and ft are in demoninator.

When cross multiplying (multiplying in a diagonal) you get:

x = 84 inches

So 7 ft equals 84 inches.

---

A quicker method would be to multiply 7 ft by 12 inches/1 ft (foot), and get 84 inches.

--

The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

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Answer:

\(\displaystyle f(x) = \frac{x + 3}{x - 2}\) has no relative extrema when the domain is \(\mathbb{R} \backslash \lbrace 2 \rbrace\) (the set of all real numbers other than \(2\).)

Step-by-step explanation:

Assume that the domain of \(\displaystyle f(x) = \frac{x + 3}{x - 2}\) is \(\mathbb{R} \backslash \lbrace 2 \rbrace\) (the set of all real numbers other than \(2\).)

Let \(f^{\prime}(x)\) and \(f^{\prime\prime}(x)\) denote the first and second derivative of this function at \(x\).

Since this domain is an open interval, \(x = a\) is a relative extremum of this function if and only if \(f^{\prime}(a) = 0\) and \(f^{\prime\prime}(a) \ne 0\).

Hence, if it could be shown that \(f^{\prime}(x) \ne 0\) for all \(x \in \mathbb{R} \backslash \lbrace 2 \rbrace\), one could conclude that it is impossible for \(\displaystyle f(x) = \frac{x + 3}{x - 2}\) to have any relative extrema over this domain- regardless of the value of \(f^{\prime\prime}(x)\).

\(\displaystyle f(x) = \frac{x + 3}{x - 2} = (x + 3) \, (x - 2)^{-1}\).

Apply the product rule and the power rule to find \(f^{\prime}(x)\).

\(\begin{aligned}f^{\prime}(x) &= \frac{d}{dx} \left[ (x + 3) \, (x - 2)^{-1}\right] \\ &= \left(\frac{d}{dx}\, [(x + 3)]\right)\, (x - 2)^{-1} \\ &\quad\quad (x + 3)\, \left(\frac{d}{dx}\, [(x - 2)^{-1}]\right) \\ &= (x - 2)^{-1} \\ &\quad\quad+ (x + 3) \, \left[(-1)\, (x - 2)^{-2}\, \left(\frac{d}{dx}\, [(x - 2)]\right) \right] \\ &= \frac{1}{x - 2} + \frac{-(x+ 3)}{(x - 2)^{2}} \\ &= \frac{(x - 2) - (x + 3)}{(x - 2)^{2}} = \frac{-5}{(x - 2)^{2}}\end{aligned}\).

In other words, \(\displaystyle f^{\prime}(x) = \frac{-5}{(x - 2)^{2}}\) for all \(x \in \mathbb{R} \backslash \lbrace 2 \rbrace\).

Since the numerator of this fraction is a non-zero constant, \(f^{\prime}(x) \ne 0\) for all \(x \in \mathbb{R} \backslash \lbrace 2 \rbrace\). (To be precise, \(f^{\prime}(x) < 0\) for all \(x \in \mathbb{R} \backslash \lbrace 2 \rbrace\!\).)

Hence, regardless of the value of \(f^{\prime\prime}(x)\), the function \(f(x)\) would have no relative extrema over the domain \(x \in \mathbb{R} \backslash \lbrace 2 \rbrace\).

Answer:

its B and C

Step-by-step explanation:

The smallest amount of rotation about a vertex from one ray to the other can be calculated by subtracting the sum of the two ray measures from 180°.

The smallest amount of rotation about a vertex from one ray to the other can be calculated using the formula θ = 180° - (α + β), where θ is the measure of the angle of rotation, α and β are the measures of the two rays that are connected by the vertex. The amount of rotation between two rays is measured in degrees, which is equal to the angle between the two rays. The formula used to calculate the amount of rotation is the arctangent of the ratio of the difference in the y-coordinates to the difference in the x-coordinates. For example, if the two rays have measures of 90° and 30°, the smallest amount of rotation from one ray to the other would be 60°. This can be calculated by taking 180° - (90° + 30°) = 180° - 120° = 60°. In conclusion, the smallest amount of rotation about a vertex from one ray to the other can be calculated by subtracting the sum of the two ray measures from 180°.

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Answer: 335

Step-by-step explanation:

536/8= 67

67*5=335

Answer:

move the parenthesis to the right so it will say (-6-14) +9

Step-by-step explanation:

The associative property says That you can get the same answer b simply moving the parentheses left and right as long as you are given three. Umbers minimum

Answer:

D.

Step-by-step explanation:

Find the angles in both isosceles triangles.

Let's start with RXWGC first, they mentioned R was 96°, an isosceles triangle also is an triangle which two of the angles in the triangle are the same and one is different.

180 - 96 = 84° (The degree of two other angles)

84 ÷ 2 = 42° (The degree of each angle of the two same angles which is W and C)

After that, find the angles of the other isosceles triangle which is ELWG.

As mentioned that E is 40°, do the same as what was done in RXWGC.

180 - 40 = 140° (The degree of two other angles)

140 ÷ 2 = 70° - (The degree of each angle of the two same angles which is W and C)

Since you have found the degree for X and G...

180 - 42 - 70 = 68° (Degree of X in the small isosceles triangle)

Answer:

A

Step-by-step explanation:

Answer:

1/21

Step-by-step explanation:

Answer:

1/21

Step-by-step explanation:

6/126 = 1/21 because 6 divided by 6 equals 1 and 126 divided by 6 equals 21.

Answer:

3/8

Step-by-step explanation:

The value of 37.5% reduced to the lowest terms is 15/40.

A fraction is written in the form p/q, where q ≠ 0. Fractions are of two types they are proper fractions and improper fractions. Fractions can also be converted into percentages by multiplying them by 100.

We know e can convert percentages into decimals and fractions by dividing the percentage value by hundred.

Given we have to convert 37.5% as a fraction which is,

= 37.5/100.

= 375/1000.

= 75/200.

= 15/40.

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Answer:

2

Step-by-step explanation:

The bottom of S is 2 units and the bottom of L is 4 Units.

4:2 is the ratio, and that is equal to 2