qrst is a square find Qu if qs =16t-14 and qu=6t+11

SOLUTION

Step 1: Find the area of the wall.

Step 2: Find the cost of wallpaper per square foot

The correct answer is B: $0.72

Answer:

answer     y=-5/3x+5

Step-by-step explanation:

The slope is decreasing so the slope is negative

Rise is 5 run is 3 so its 5/3 but the slope is negative so its -5/3

Y intercept is located at 0,5 so it equals 5

y=-5/3x+5

The equation of line will be;

⇒ y = - 5/3x + 5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of line is decreasing.

The rise will be 5.

The run will be 3.

Now,

Since, The equation of line is decreasing.

Hence, The slope of the line is negative.

Here, The rise will be 5.

The run will be 3.

So, The slope = Rise / Run

                      = 5/3

Thus, The slope = - 5/3

So, The equation of line in point-slope form will be;

⇒ y = mx + b

⇒ y = - 5/3x + 5

Thus, The equation of line will be;

⇒ y = - 5/3x + 5

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The factored form of the quadratic equation 2x² + 25x + 50 is (2x + 5)(x + 10)

Factoring quadratics is a method of expressing the quadratic equation ax² + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax² + bx + c = 0.

Therefore, let's factor the equation 2x² + 25x + 50.

2x² + 25x + 50

The two numbers one can multiply and add to get 100 and 25 respectively are 20 and 5.

Therefore,

2x² + 20x + 5x + 50

2x(x + 10)+ 5(x + 10)

Therefore,

(2x + 5)(x + 10)

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Answer:

580

Step-by-step explanation:

31(20) + 7(20) -  21(20) +12(20)

620 + 140 -   420 + 240

580                                                              

We are given the function below;

PART A

We then proceed to find if the function has a minimum or maximum value. To find if the function has a minimum or maximum value. If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum.

ANSWER: From the above, we can see that x^2 is negative, hence the function has a maximum

PART B and C

To find the minimum or maximum value, we would plot the graph of the f(x). The graph can be seen below.

From the graph, the black point helps answer part A and part B.

ANSWER: The function's maximum value is f(x)=2.

This is the point where the slope of the graph is equal to zero

ANSWER: The maximum value then occurs at x= -1

We can also solve this by differentiating the function.

From the figure we notice that the figure B is smaller than figure A, hence the dilation is a reduction.

Now, to find the dilation factor we notice that the right side of figure A has length 6; the same side for figure B has length 2; then we need to find a factor that fullfils:

solving for k we have that:

Therefore the scale factor of the dilation is 1/3

Answer:

$10134.12

Step-by-step explanation:

Pe^(rt)

8634e^(0.0267)(6)

8634e^(0.1602)

= 10134.12

I hope this helps!

In Step 2 have a mistake in student solution so the option B is correct answer.

In the given question,

A student solved the inequality [tex]\frac{-x+4}{3} > \frac{x+1}{2}[/tex].

We have to find the error in the student solution.

To find the mistake we first solve the give inequality.

The equality is [tex]\frac{-x+4}{3} > \frac{x+1}{2}[/tex]

To solve this equality we firstly equal the denominator by multiplying and divide 2 on left side and 3 on right side.

So [tex]\frac{2}{2}\times\frac{-x+4}{3} > \frac{x+1}{2}\times\frac{3}{3}[/tex]

Now simplifying

[tex]\frac{2(-x+4)}{6} > \frac{3(x+1)}{6}[/tex]

Now simplifying the brackets of numerator ob both side using distributive property.

In Distributive Property: a(b+c)=ab+bc

[tex]\frac{2\times(-x)+2\times4}{6} > \frac{3\times x+3\times1}{6}[/tex]

[tex]\frac{-2x+8}{6} > \frac{3x+3}{6}[/tex]

Since the both side have same numerator. So we can write the inequality as

-2x+8 > 3x+3

Subtract 8 on both side

-2x+8-8 > 3x+3-8

-2x > 3x-5

Subtract 3x on both side

-2x-3x > 3x-5-3x

-5x > -5

Divide by -5 on both side

-5/-5 x > -5/-5

x > 1

Hence the value of x is greater than 1.

Now we see the step on student.

We can see that in step 2 has mistake. In step 2 student doesn't use distributive property to solve the bracket.

Hence, we can say that option 2 is correct.

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Answer:

p = -7

Step-by-step explanation:

[tex] {p}^{3} = - 343[/tex]

[tex]p = \sqrt[3]{ - 343} = - 7[/tex]

Answer:

Original number = 10x + y = 52

Step-by-step explanation:

represent the days as a variable

days= x

remeber that 80c is the same as $0.80

write an equation that models this situation

solve the equation for x

according to this, after 31.875 days he will have enoght for the hat

Answer:

32 days

Step-by-step explanation:

25.50 / (.80 /day)=  31.875  days <===  so after 32 days he will have enough    

Answer: 7.2

Step-by-step explanation: I took the test and got it correct, I'm just trying to spread the correct answer around.

Given,

To find GCF we will factor constant and variable terms individually,

First factorize 18:

Factors of 9:

Now,

Now GCF of 18,9 is 9.

GCF of

GCF of

Solution

A hexagonal pyramid is a three-dimensional object with a hexagon-shaped (6 sides) base and six triangular faces originating from each side to a common vertex.

The distance between the center of the hexagonal base and the common vertex is the altitude or height (h) of the pyramid.

The length of the base's side is the base edge or base length (a) of the pyramid.

The slope, m, of the line that passes through (2, 7) and (-4, 19) is -2.

According to the question,

We have the following information:

A line is passing through two points (2,7) and (-4,19).

We know that the slope of the line is denoted by m and the following formula is used to find the slope of the line passing through two points:

m = (y2-y1)/(x2-x1)

(More to know: we can also easily find the equation of the line using the slope given and the points from which the line is passing.)

In this case, we have x1 = 2, y1 = 7, x2 = -4 and y2 = 19.

m = (19-7)/(-4-2)

m = 12/(-6)

m = -2

Hence, the slope, m, of the line that passes through (2, 7) and (-4, 19) is -2.

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You have remains 2.4 cupcakes when taking away 80% of the cupcakes.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that

The total number of cupcakes was 12

Then take away 80% of cupcakes

The number of cupcakes you have = 12 - (80% of 12)

The number of cupcakes you have = 12 - (80/100) × 12

The number of cupcakes you have = 12 - 0.80 × 12

The number of cupcakes you have = 12 - 9.6

Apply the subtraction operation,

The number of cupcakes you have = 2.4

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The total number of square cardboards that can be placed is 35 square pieces.

Length of the class board = √150dm

Length of the square side = √3 dm

Number of cardboards that can be cut = √150 ÷ √3 = 7.07 ≈ 7

Width of the square = √80 dm

Number of cardboard pieces =  √80 ÷ √3 = 5.16 ≈ 5

Total number of cardboard squares = 7 × 5 = 35 pieces

A square is just a normal quadrilateral because it has four equal sides and four equal 90-degree, /2 radian, or right angles angles.

An alternative explanation is that it is a rectangle with two adjacent sides that are equal in length. It is the only uniform polygon with equal-length diagonals and identically 90° internal, central, and external angles.

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Answer:

72 Remainder: 0

Step-by-step explanation:

3024 / 42 = 72

Remainder of 0!

Answer:

Step-by-step explanation:

72 Remainder 0

Correlation coefficient: statistical measure of the strength of the relationship between the relative movements of two variables.

• If a correlation coefficient has an exact value of one, it has a perfect positive relationship between the two variables

• If a correlation coefficient has an exact value of minus one, there is a perfect negative relationship between the two variables.

• Analysts in some fields of study do not consider correlations important until the value surpasses at least 0.8. However, a correlation coefficient with an absolute value of 0.9 or greater would represent a very strong relationship.

Thus, they have a weak correlation.

we have

f(x) = |x – 1] + 2

g(x) = -2f(x) + 8

substitute the value of f(x) in g(x)

so

g(x)=2(|x – 1] + 2) +8

g(x)=2|x – 1] + 4 +8

g(x)=2|x – 1] + 12

Using a graphing tool

see the attached image

The Total Surface Area = 4 triangles + 1 square

The TSA of the Pyramid = 4(1/2 bh) + LxL

TSA of the pyramid =

Answer:

Step-by-step explanation:

1 Simplify  (-3,5)y(−3,5)y  to  -3,5y−3,5y.

-3,5y=\frac{2}{3}x+1

−3,5y=

3

2

​

x+1

2 Simplify  \frac{2}{3}x

3

2

​

x  to  \frac{2x}{3}

3

2x

​

.

-3,5y=\frac{2x}{3}+1

−3,5y=

3

2x

​

+1

3 Switch sides.

\frac{2x}{3}+1=-3,5y

3

2x

​

+1=−3,5y

4 Break down the problem into these 2 equations.

\frac{2x}{3}+1=-3

3

2x

​

+1=−3

\frac{2x}{3}+1=5y

3

2x

​

+1=5y

5 Solve the 1st equation: \frac{2x}{3}+1=-3

3

2x

​

+1=−3.

x=-6

x=−6

6 Solve the 2nd equation: \frac{2x}{3}+1=5y

3

2x

​

+1=5y.

x=\frac{3(5y-1)}{2}

x=

2

3(5y−1)

​

7 Collect all solutions.

x=-6,\frac{3(5y-1)}{2}

x=−6,

2

3(5y−1)

​

Solution

- To find the minimum values of the functions, we need to find the x-value of the vertex of the quadratic function, and then subsitute this x-value into the function to get its minimum value, while for the quintic equation, we simply apply the fact that it is an odd function. Because of this, the tails of the function move in opposite directions; one towards positive infinity, while the other moves towards negative infinity.

- The formula for finding the x-value of the vertex of a quadratic function is:

- Thus, we can find the x-value of the vertex for the quadratic equation as follows:

- Now that we have the x-value of the vertex of the quadratic equation, we can find its minimum value as follows:

- Thus, the minimum value of the quadratic equation is 1.

- Next, we already know that the quintic equation moves down towards negative infinity. Thus f(x), the quintic equation, has a smaller minimum value

Final Answer

f(x), the quintic equation, has a smaller minimum value

For this problem, we are given the expression for a function, f(x), and we need to determine the value of f(-9) to the nearest hundredth.

The expression is:

We need to replace "x" with the value "-9", and simplify the expression.

The value of f(-9) is 7.5

The value of the expression, [tex]17c^{9} d^{4} -2c^{3} d^{9} .3c^{6} d^{-5}[/tex], after simplification with only positive exponents is [tex]11c^{9} d^{4}[/tex].

According to the question,

We have the following expression:

[tex]17c^{9} d^{4} -2c^{3} d^{9} .3c^{6} d^{-5}[/tex]

Now, we know that we will first solve terms in multiplication and we also that if numbers with same base are in multiplication then their powers are added.

So, we will have the following expression:

[tex]17c^{9} d^{4} -6c^{3+6} d^{9-5\\}\\17c^{9} d^{4} -6c^{9} d^{4}[/tex]

Now, they have the same variables so the terms can be easily subtracted.

(More to know: if the variables would have been different in these two terms then they could not have been subtracted.)

[tex]11c^{9} d^{4}[/tex]

Hence, the value of the expression, [tex]17c^{9} d^{4} -2c^{3} d^{9} .3c^{6} d^{-5}[/tex], after simplification with only positive exponents is [tex]11c^{9} d^{4}[/tex].

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The corrected form is second arc should be centered at C.

Assuming the goal is to construct a line parallel to AB that passes through given point C.

-Draw a line through C and across AB at an angle creating D.

- With the compass width about half of DC, and center D, draw the first arc to cross both lines.

-Using the same compass width , draw the second arc with center C.

-Then set the compass width to the lower arc (the first arc)

- Move the compass to the second arc. Mark off an arc to make point E

-Draw a straight line through C and E

Thus the line CE will be parallel to line AB

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Given that Z has a standard normal probability distribution, you need to find the following Probability:

Therefore, you can find it using the Standard Normal Distribution Table.

By symmetry, you can determine that:

Using the Standard Normal Distribution Table (Left Tail), you get that:

Therefore:

Hence, the answer is: