*
A company has learned that by pricing a newly released toy at $7, sales will reach 1500 per day. Raising the price to $9 will cause the sales to fall to 1000 per day. Assume that the
ratio of change in price to change in daily sales is constant and let x be the price of the toy and y be the number of sales
a. Find the linear equation that models the price-sales relationship for this toy. (Hint: The line must pass through (7,1500) and (9,1000)]
b. Use this equation to predict the daily sales of the toy if the price is set at $8.50
a. Find the linear equation that models the price-sales relationship for this toy
(Simplify your answer)
b. Predict the daily sales of the toy if the price is set at $8.50.
toys

In the given function, the Statement B and C are correct.

According to the statement

We have to find that the y-values of the two functions.

So, For this purpose, we know that the

Function is an expression, rule, or law that defines a relationship between one variable and another variable

From the given information:

The given functions are:

f(x) = -5* +2 and g(x)=-5x² +2

In these functions, we see that the when we solve these functions

Then

The maximum y-value of f(x) approaches 2.

And when we solve the function g(x) then g(x) has the largest possible y-value.

Then the statements in the two functions are the Statement B and C correct.

So, In the given function, the Statement B and C are correct.

Learn more about Function here

https://brainly.com/question/24349828

#SPJ9

Answer:

to extend over or past and cover a part of The roof shingles overlap each other. 2 : to have something in common with Baseball season overlaps the football season in September. 1 : to occupy the same area in part The two towns overlap.

Step-by-step explanation:

The number of cabinets that can be placed along the wall is 15.

It should be noted that in this scenario, we simply have to calculate the perimeter.

This will be:

= 2(length + width)

= 2(1 1/2 + 6)

= 2(7 1/2)

= 15

Therefore, the number of cabinets that can be placed along the wall is 15.

Learn more about cabinets on:

brainly.com/question/16510637

#SPJ1

Answer:

Step-by-step explanation:

6.92

The value of the given equation is 19 x 75 + 238 x 33 = 9279.

Addition, subtraction, multiplication, as well as division, are the four fundamental arithmetic operations. The division represents one of the most fundamental procedures in our daily work. A large group is divided into equal smaller groups. For instance, divide 25 by 5. The division fact, in this case, in this case, will be 25/5 = 5.

She hits the bullseye = 19 times.

she hits the 33 point circle 238 times.

Total number of points:

19 x 75 + 238 x 33 = 9279

19 x 75 = 1425

238 x 33 = 7854

So,

The value of the given equation is 19 x 75 + 238 x 33 = 9279.

To know more about fundamental arithmetic operations visit:

https://brainly.com/question/25834626

#SPJ9

I understand that the question you are looking for is:

Cora hits the bullseye (the 75 point circle) 19 times during the archery season she hits the 33 point circle 238 times. What is the total number of points for those hits Complete the equation to model the situation_. Enter the correct numbers in the boxes. _ x 75 + _ x 33 =

Answer:

[tex]2x^{4} - 3x^{2} + 7x[/tex]

Step-by-step explanation:

Answer:

(-9) Simplify is just 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

white cops

The sampling techniques are given as follows:

a) stratified sample.

b) simple random sample.

c) cluster sample.

d) systematic sample.

e) convenience sample.

Samples may be classified as:

Then:

More can be learned about sampling techniques at https://brainly.com/question/25122507

#SPJ1

first of all let's recall that on the negative side of the number line, the closer to 0, the greater, so -1 is much greater than -1,000,000.

well, let's simply try to convert both fractions to the same denominator by multiplying top and bottom by 1 or namely the same value, hmmm let's multiply -2/3 by 2/2 = 1, and -1/2 by 3/3 = 1

[tex]-\cfrac{2}{3}\cdot \cfrac{2}{2}\implies -\cfrac{4}{6}\hspace{5em}-\cfrac{1}{2}\cdot \cfrac{3}{3}\implies -\cfrac{3}{6}[/tex]

well, rats, no much wiggling room there, well, let's simply multiply them again by 1, in this case hmmmm 2/2 for both

[tex]-\cfrac{4}{6}\cdot \cfrac{2}{2}\implies \boxed{-\cfrac{8}{12}}\hspace{5em}-\cfrac{3}{6}\cdot \cfrac{2}{2}\implies \boxed{-\cfrac{6}{12}} \\\\\\ \underset{-\cfrac{2}{3}}{\boxed{-\cfrac{8}{12}}}\hspace{5em} < \qquad -\cfrac{7}{12}\qquad < \hspace{5em} \underset{-\cfrac{1}{2}}{\boxed{-\cfrac{6}{12}}}[/tex]

Answer:

[tex]p ≤6[/tex]

Step-by-step explanation:

Inequality: [tex] - 4p +36 ≥2p[/tex]

Collect like terms

→ [tex] - 4p - 2p≥ - 36[/tex]

→ [tex] - 6p≥ - 36[/tex]

Divide both sides by -6

→ [tex] \frac{ - 6p}{ - 6}≤\frac{ - 36}{ - 6} [/tex]

Therefore: [tex]p ≤6[/tex]

Answer:

4.47 OR,. 4 whole 8/17

4 is the whole 8 is remainder and divisor is 17 as well as dividend is 76

Step-by-step explanation:

[tex] \frac{76}{17} [/tex]

By dividing;

=4.47

Using it's concept, the average rate of change of the function on the interval [0,2] is of -1.5.

Before going into the average rate of change, the other items are correct.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For the interval [0,2], we have that:

Hence the rate is:

r = (0 - 3)/(2 - 0) = -1.5.

More can be learned about the average rate of change of a function at https://brainly.com/question/24313700

#SPJ1

The diameter of the circle whose circumference is 47.1cm comes out to be 15cm

Let us assume the diameter of circle whose circumference be x

The formula for circumference of the circle is 2 r

As we are already been provided with the circumference of the circle in the question as 47.1 cm

The radius of circle is half of the diameter of the circle

So, the radius of the circle is x/2

 2 r = 47.1

We will use the value of as 3.14 as provided in the question

2 3.14 x/2 = 47.1

3.14x= 47.1

X=47.1/3.14

X= 15cm

So, the diameter of the circle whose circumference is 47.1cm comes out to be 15cm

The correct question is What is the diameter of a circle whose circumference is 47.1 cm? use 3.14 for pi and enter your answer as decimal

To know more about circumference - https://brainly.com/question/4268218

#SPJ9

The equation:[tex]53 = 8x + 5[/tex]

Get 5 to cross over the = sign so it meets its kind which is 53 and then changes to minus(-) due to the equality sign.

[tex]53 - 5 = 8x⟹ 48 = 8x[/tex]

Now divide both sides of the equation by 8 to find the value of x

[tex] \frac{48 }{8} = \frac{8x}{8} [/tex]

[tex]6 = x[/tex]

Therefore:

[tex]x = 6[/tex]

Based on the fact that the model has a scale of 1/12, solving the equation of 12x = 86 to determine the tons of the completed sculpture gives 7 tons.

The model is said to have a scale of 1/12 of the original stone landmark which means that if the original famous landmark weighs 86 tons, the tons of the model can be found by the formula:

12x = 86

When solving for x which is the tons of the completed sculpture, the weight would be:

12x = 86

x = 86 / 12

x = 7 tons

In conclusion, the completed sculpture would weigh 7 tons.

Find out more on model scales at https://brainly.com/question/261465

#SPJ1

Answer:

Evan could be thinking of 200,000.

Step-by-step explanation:

The digit 2 in 328,907 has values 20,000 so in Evan's number it has the values 200,000.

Answer:

y = 1/3x - 3

Answer:

25

______________________________________________________

[tex]\left(19-4\right)^2\div \left(34-5^2\right)[/tex]
First, use good ol' PEMDAS to solve the order of operations!
[tex]=15^2\div \left(34-5^2\right)[/tex]
Then, simplify what's inside the parenthesis.
[tex]=15^2\div \:9[/tex]
Calculate the exponents.
[tex]=225\div \:9[/tex]
Divide.
[tex]225\div \:9=25[/tex]
______________________________________________________
Learn more about PEMDAS:
https://brainly.com/question/10850764

Have a WONDERFUL day! (:

The value of  ( 19 - 4 )² ÷ (34 − 5²) is 25.

Here,

The expression is;

( 19 - 4 )² ÷ (34 − 5²)

We have to find the value of given expression.

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Now,

The expression is;

( 19 - 4 )² ÷ (34 − 5²)

To solve, we get;

⇒ ( 19 - 4 )² ÷ (34 − 5²)

⇒ ( 15 )² ÷ (34 − 25)

⇒ 225  ÷ 9

By divide,

⇒ 25

Hence, The value of  ( 19 - 4 )² ÷ (34 − 5²) is 25.

Learn more about the mathematical expression visit:

https://brainly.com/question/27984898

#SPJ2

Answer:

c

Step-by-step explanation:

166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.

7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.

Answer:

C.

Step-by-step explanation:

7/3 = 2.3 > 1 2/3

Answer:

x = 5

Step-by-step explanation:

5 x 5 = 25

25 - 7 = 18

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Step-by-step explanation:

Recall the Weierstrass product definition of the gamma function,

[tex]\displaystyle \frac1{\Gamma(z)} = ze^{\gamma z} \prod_{n=1}^\infty \left(1+\frac zn\right) e^{-z/n}[/tex]

from which we can obtain the log-gamma (i.e. logarithm of gamma) function,

[tex]\displaystyle -\ln\Gamma(z) = \ln(z) + \gamma z + \sum_{n=1}^\infty \left(\ln\left(1 + \frac zn\right) - \frac zn\right)[/tex]

where [tex]\gamma[/tex] is the Euler-Mascheroni constant.

Let [tex]z=1[/tex], so that

[tex]\displaystyle \gamma = \sum_{n=1}^\infty \left(\frac1n - \ln\left(1 + \frac 1n\right)\right)[/tex]

Recall the power series

[tex]\displaystyle \ln(1 + x) = - \sum_{n=1}^\infty \frac{(-x)^n}n[/tex]

Along with the definition of the Riemann zeta function,

[tex]\displaystyle \zeta(a) = \sum_{b=1}^\infty \frac1{b^a}[/tex]

we find that

[tex]\displaystyle \gamma = \sum_{n=1}^\infty \left(\frac1n + \sum_{m=1}^\infty \frac1m\left(-\frac1n\right)^m\right) \\\\ ~~~~ = \sum_{n=1}^\infty \sum_{m=2}^\infty \frac1m \left(-\frac1n\right)^m \\\\ ~~~~ = \sum_{m=2}^\infty \frac{(-1)^m}m \sum_{n=1}^\infty \frac1{n^m} \\\\ ~~~~ = \sum_{m=2}^\infty \frac{(-1)^m \zeta(m)}m[/tex]

so the original sum's value is [tex]\boxed{\gamma\approx0.577216}[/tex].

The slope of the line having points (3,135), (5,225), and (7,315) is 45

Slope:

The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).

The formula of slope for a line(m)=[tex]\frac{y2-y1}{x2-x1}[/tex]

Given the points  (3,135) , (5,225) and (7,315)

Consider any two points, Let's say  (3,135) and (5,225).

Slope=[tex]\frac{225-135}{5-3}[/tex]

Slope=45

Therefore, The slope of the line having points (3,135), (5,225), and (7,315) is 45

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ4

Answer:

Just plug-in the variable associated with the question.

Step-by-step explanation:
2) w(n) = n² + 5n --> replace the n with 6

4) w(x) = 3x - 1 --> replace the x with -8

6) k(n) = 3n² - 1 --> replace the n with 4

8) g(a) = -2a² + 5 --> replace the a with 9

For example, for number 8, the answer would be -157 if you plug in the value.

g(9) = -2(9)² + 5

        = -2(81) +5

        = -165 + 5

        = -157

The length and width of the rectangle is 23 and 11 cm.

Given, perimeter = 68 cm

A rectangle's perimeter P is determined by the equation P=2l+2w, where l is the rectangle's length and w is its width. In the formula A=lw, where l is the length and w is the width, the area A of a rectangle is determined.

let the width of the rectangle be x.

and length of the rectangle be 12 ₊ x

Formula of the perimeter = 2l ₊ 2w

68 = 2(12 ₊ x) ₊  2x

68 = 2x ₊ 24 ₊ 2x

68 ₋ 24 = 4x

44 = 4x

x = 44/4

x = 11

Hence the width of the rectangle is 11 cm and length:

12 ₊ x

= 12 ₊ 11

= 23 cm

Hence we get the length and width of the rectangle as 23 and 11 cm.

Learn more about area and perimeter here:

brainly.com/question/24571594

#SPJ9

Answer:

B, -6+4

Step-by-step explanation:

By using the distributive property on -(-4) you multiply the negative by -4, which makes it a positive, aka +4

- a negative x a negative = positive

- negative x positive = negative

- positive x positive = positive

Therefore, you get -6+4.