(Question 6)
State The Slope

Answer: Let x be the number of hours Tay practices the piano. Then, Omar practices for 2/5 less than that, or x - 2/5x = 3/5x hours.

Step-by-step explanation:

Answer:

negative one third

Step-by-step explanation:

So you go to the 1 and half

Answer:

graph points (0,2) and (0.857,0)

Step-by-step explanation:

can i please have the brainliest

Answer: f(-4) = -7

Step-by-step explanation:

    Since -4 is less than -1, we will be substituting x = -4 into the top equation of the piecewise function.

 Given:

 \(\displaystyle \frac{3}{4}x -4\)

 Substitute:

 \(\displaystyle \frac{3}{4}(-4) -4\)

 Multiply:

 -3 - 4

 Subtract:

 -7

The minimum score needed to receive a grade of 'a' is 87.92

Given that,

At a nearby university, a professor noticed that her students' exam results were regularly distributed, with a mean of 73 and a standard deviation of 11. 8.75 percent of the professor's students achieved grades of A, she told us.

Mean = μ = 73

Standard deviation = σ =  11

Using the standard normal table,

⇒ P(Z > z) = 8.75%

⇒ 1 - P(Z < z) = 8.75%

= 1 - P(Z < z) = 0.0875

= P(Z < -1.36) =1- 0.0875

= P(Z < 1.3563) =0.9125

∴ Z = 1.3563                              ( Using standard normal z-table )

Using z-score formula ;

x= z * σ + μ

x=1.3563 * 11 + 73

x=87.92

So, the minimum score needed to receive a grade of 'a' is 87.92

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Answer:

Step-by-step explanation: W '

Answer:

Get natural log on both sides and subtract 8 to subject the unknown x.

Step-by-step explanation:

                        \(\begin{aligned}\\e^{x+8} &= 15\\\\ln(e^{x+8}) &=\small ln(15)\\\\(x+8) ln(e)&=\small ln(15)\\\\x+8&=\small ln(15) \cdots\cdots\cdots[ ln(e) = 1]\\\\x&=\small ln(15) -8\end{aligned}\)

Answer:

x = -5.29

Step-by-step explanation:

e^(x+8) = 15

==> take log of both sides

log(e) * (x+8) = log(15)

==> divide both sides by log e (log(15)/log(e) = 2.70805)

x + 8 = 2.70805

==> subtract both sides by 8

x = -5.29 (rounded to the nearest tenth)

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

It's not necessarily certain that a function's inverse is a function! It is necessary for the original function to be a one-to-one function in order to ensure that its inverse will likewise be a function.

What does a function's inverse mean with an example?

The original value for which a function produced its output is returned by the inverse function. In terms of functions, f and g are inverse, using the formula f(g(x)) = g(f(x)) = x. The initial value can be retrieved using a function that is its inverse. As a result, g(y) = (y-5)/2 = x is the inverse of f. (x).

                                A function that reverses the effects of another function is said to have an inverse. If y=f(x), then x must always equal g, then a function g is the inverse of a function f. (y). Application of f followed by application of g is equivalent to doing nothing, in other words.

y = x² is a function

but inverse y = +/- √x   is not

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Answer:

y = -x +2

Step-by-step explanation:

Equation of a line in slope-intercept form :

   y = mx + b    where m = slope and 'b' is the y-axis intercept

y = -x-2    is in this form.....  slope m = -1      b = -2

   the parallel line will have the same slope = -1 and will look like

        y = -x + b

       to calculate the value of 'b' for this line, substitute in the point given:

             -2 = - (4) + b      shows b = 2

  so your line becomes   y = -x + 2

Answer:

  y =-x + 2

Step-by-step explanation:

    Parallel lines have same slope.

     y = -x - 2

Compare with the equation of the line in slope y-intercept form: y =mx + b

Slope = m = -1

So, equation of line: y = -x + b

Point(4 ,-2) is going through this line. so, substitute x = 4 & y = -2 in the above equation.

            -2 = -4 + b

          -2 + 4 = b

              \(\sf \boxed{b = 2}\)

Equation of the required line:

            \(\sf \boxed{\bf y = -x + 2}\)

Answer:

540

Step-by-step explanation:

If you have five sides on a polygon, all the angles will add up to 540°

Answer:

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative

Answer:

a) 12xy

b) 30pqr

Step-by-step explanation:

multiply the numbers and since x and y are not common terms then keep them as xy multiplied with 12

same goes with b)

Answer:

a would be 12xy

b would be 30pqr

Step-by-step explanation:

Again, don't really know how to explain, just multiply the numbers and add on the letters

There are 720 possible horse combinations for the first 3 places in the race.

To solve this problem, let us break this down one by one.

There are 10 possible horses that could win in first place.

Therefore, this means that for each of these possibilities, there are now 9 horses that could come in second.

So there are 10 x 9 possible combinations for the first 2 places.

10 x 9 = 90.

And for each of those combinations, there are also 8 possible horses that could come in the third place. So

10 x 9 x 8 = 720

There are 720 possible horse combinations for the first 3 places in the race.

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The equilibrium quantity of the function is when x = 250

Given data ,

To find the equilibrium quantity, we need to find the quantity at which the demand and supply are equal

Let the functions be represented as d ( x  ) and s ( x )

Now , on simplifying the demand and supply ,

200 - 0.5x = 0.3x

Adding 0.5x on both sides , we get

200 = 0.8x

Divide by 0.8x , we get

x = 250

So , the equilibrium quantity is 250

And , To find the producer's surplus at the equilibrium quantity, we need to calculate the area between the supply curve and the equilibrium price line.

The producer's surplus represents the difference between the price at which producers are willing to supply goods and the actual market price

when x = 250

s ( x ) = 0.3 ( 250 )

s ( x ) = 75

So the equilibrium price is 75.

On simplifying the function ,

To calculate the producer's surplus, we need to find the area between the supply curve and the price line (which is the equilibrium price of 75) up to the quantity of 250. Since the supply function is a straight line, the area of the triangle can be calculated as:

Producer's Surplus = 0.5 * (Equilibrium Quantity) * (Equilibrium Price)

Producer's Surplus = 0.5 * 250 * 75

Producer's Surplus = 9375

Hence , the producer's surplus at the equilibrium quantity is 9375

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Answer:

x>3, the last option with the open circle

Step-by-step explanation:

The $2,500 Damon estimates he needs and the equation; y = 500 + 400·x for finding the number of months of savings required indicates that in step 4, Damon used the division property of equality. The true statement is therefore;

C. Damon used the division property of equality in step 4

The division property of equality states that the division of both sides of an equation by the same real number which is not zero, the quotients obtained are also equal.

The Damon's work to calculate the number of months of savings it will take to reach the goal of $2,500 for his vacation trip is presented as follows;

Step 1: y = 500 + 400·x

Step 2: y - 500 = 500 + 400·x - 500

Step 3: y - 500 = 400·x

Step 4: (y - 500)/(400) = 400·x/400

Step 5: (y - 500)/400 = x

Step 6: (2,500 - 500)/400 = x

Step 7: 5 = x

Therefore; Damon used the subtraction property of equality in step 2

Damon used the division property of equality in step 4

Damon used the substitution property of equality in step 6

The true statement is therefore; Damon used the division property of equality in step 4

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The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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Answer:

A, D, E are equivalent expressions.

Step-by-step explanation:

A)

\(\dfrac{2}{3}a+\dfrac{5}{3}b + ( 8 + 4) - 4 =\dfrac{2}{3}a +\dfrac{5}{3}b + 12 - 4\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8\\\\\)

Here, 8+4 = 12 and when we subtract 4 from 12, we get 8.

\(D) 6*(\dfrac{2}{3}a+\dfrac{5}{3}b+8)*\dfrac{1}{6}=6*\dfrac{1}{6}(\dfrac{2}{3}a+\dfrac{5}{3}b+8)\\\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8\)

Here, 6 and 1/6 will be cancelled and we get 1.

\(E) \dfrac{2}{3}a+\dfrac{5}{3}b+ 0*\dfrac{1}{3}c+8=\dfrac{2}{3}a+\dfrac{5}{3}b+0+8\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b+8\)

0 multiplied by any value is 0. So, term multiplied by 0 = 0

Answer:

A) (6 , 8)

B) (-6 , 2 )

C) (4 , -4)

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

\(a =255\ yd\\c = 305\ yd\\\angle B =17^\circ\)

To find:

Side \(b = ?\)

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

\(cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}\)

Putting all the values:

\(cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd\)

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

Answer:

D.) 96.4 yd

Step-by-step explanation:

I got it correct on founders edtell

The size of the angle marked y in the triangle is 50 degrees

The complete question is added as an attachment

Given that the triangle is an isosceles triangle

An isosceles triangle is a triangle with two sides of equal length. This means that two of the angles opposite to those sides are congruent.

Using the above definition, we have the following equation

y + 2 * 65 = 180

So, we have

y + 130 = 180

Evaluate the like terms

y = 50

Hence. the value of y is 50 degrees

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Answer:

x = 51°

Step-by-step explanation:

The angle I shaded in yellow is a flat angle which measures 180°.

Use the 129° to find x.

180° - 129° = 51°

Answer: each pencil would cost 0.36¢

Step-by-step explanation: first, divide 12.82 by 36 to get the unit rate. The answer should be 0.356111111. Now round that to the nearest cent. 0.356111111~0.36

Answer:

Each pencil is worth 36 cents

Step-by-step explanation:

To do the problem we have to find the unit price which is \(Total Price/Total Units\)

Once you have that round the answer then the answer is 0.36

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Hope this helps!!

- Brooklynn Deka

Answer: 2.3 / -3

Step-by-step explanation: If you want me to to explain it, just ask!

Answer:

y = -2.5/3x

Step-by-step explanation:

\(m = \frac{y2-y1}{x2-x1}\)

\(m = \frac{7.5-5}{3-6}\)

\(m = \frac{2.5}{-3}\) or -0.83333

y = -2.5/3x

hope this helps

Answer:

5) 4а²+8ас=4а(а+2с)

6) 3m²-6mn=3m(m-2n)

7) ab-ac+yb-yc=a(b-c)+y(b-c)=(a+y)(b-c)

8) ab+ac+xb+c=b(a+x)+c(a+1)

Answer:

-2/3

Step-by-step explanation:

Simplify each term.

Rewrite the division as a fraction.

3 n/ 9 n  −  1

Cancel the common factor of  3  and  9 .  

n/ 3 n  −  1

Cancel the common factor of  n .  

1 /3  −  1

To write  − 1  as a fraction with a common denominator, multiply by  3/3  

1 /3  −  1 x 3/3  

Combine  − 1  and  3/ 3 .

1/ 3  +  − 1 x3 /3

Combine the numerators over the common denominator.

1  −  1  x  3/3

Simplify the numerator.

− 2 /3