9 - 6 - 19 c) y - 12 OC p = b) y 24 c) = 9

5. A function rule to represent the total selling price of wooden (w) and glass (g) beads is y = 3w + 7g.

6. The selling price of 20 wooden beads and 4 glass beads is $88.

Based on the information provided in the image (see attachment), this bead shop sells wooden beads for $3 each and $7 each for glass beads. Therefore, the selling price, y, can be represented by this equation or function rule:

y = 3w + 7g    

where:

Question 6.

Based on function rule, the selling price of 20 wooden beads and 4 glass beads can be calculated as follows;

y = 3w + 7g  

y = 3(20) + 7(4)

y = 60 + 28

y = $88.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

Answer:

y = (x - \(\frac{7}{2}\))² - \(\frac{21}{4}\)

Step-by-step explanation:

y = x² −7x + 7

Complete the square for y = x² −7x + 7

(x - \(\frac{7}{2}\))² - \(\frac{21}{4}\)

Set y equal to the new right side.

y = (x - \(\frac{7}{2}\))² - \(\frac{21}{4}\)

So, the answer is y = (x - \(\frac{7}{2}\))² - \(\frac{21}{4}\)

Answer:

A: 219.84

B: 219.84 x 36 = 7914.21

C: 7914.21 - 7000 = 914.24

Step-by-step explanation:

When Carly took a $7,000, 3-year loan with an APR of 3.15%, then

Monthly payments can be referred to or considered as the monthly amount paid towards the partial repayment of a loan or an advance taken at a predetermined interest rate and time period.

Compounded Annuity = 7000(1+0.0315)^3

Compounded Annuity = $7,682.55.

Now, the amount of monthly payments for 3 years, or 36 months will be

Monthly payments = 7682.55 / 36

Monthly payments = $213.40

Finance Charge = Annuity – Principal

Finance Charge = 7682.55-7000

Finance Charge = $682.55

Therefore, the significance regarding monthly payments and the amounts of finance charge for the given condition has been aforementioned.

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The expression is a Quadratic equation.

The given expression is,

-x² + 8 + 1

We have to find the kind of expression.

What is Quadratic equation?

A second order polynomial equation in a single variable is called a Quadratic equation.

The given expression is,

-x² + 8 + 1

Since, The order of expression is 2.

Hence, It is a second order polynomial equation in a single variable x.

So, The given expression is a quadratic equation.

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8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

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140 ÷ 20 = 7

7 × 15 = 105

24

6 1/2

Answer:

OK so he gets 3000 a year

so 3000t is what we need. thats 3000 times the number of years.

His starting salary is 41250, so we would add that on.  

K = 3000t + 41250.

Step-by-step explanation:

4:7

Step-by-step explanation:

The ratio of the number of corn tortillas to flour tortillas is 3:4. So this means there are at least 3 corn tortillas and 4 flour tortillas.

We need to add 3 and 4 to see the simplified total of tortillas. 3+4=7.

There is a total of 7 tortillas regardless of their type.

Now we just need to compare this with the number they already gave us for flour tortillas, which is 4.

4:7 or 4 flour:7 in total

The ratio of flour tortillas to total tortillas is 4:7.

Here is the completed table:

Taco                   3         9            13.5

Sour cream         2        6           9

The amount of taco seasoning that is needed to make 15 cups of sour cream is 22.50 teaspoons.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

Given the information in the table, the amount of taco seasoning needed for 1 cup of sour cream is 2/3.

The amount of sour cream needed for 1 teaspoon of taco seasoning is 3/2.

The teaspoon of taco seasoning needed for 9 cups of sour cream : 3/2 x 9 = 13.5 teaspoons

Cups of sour cream needed for 9 teaspoons of taco seasoning : 2/3 x 9 = 6 cups

The teaspoon of taco seasoning needed for 15 cups of sour cream : 3/2 x 15 = 22.50

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The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

\(y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}\)

Step-by-step explanation:

Hi there!

Slope-intercept form: \(y=mx+b\) where \(m\) is the slope and \(b\) is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

\(m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}\) where two given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (15,2.2) and (5,1.6):

\(m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}\)

Therefore, the slope of the line is \(\frac{\displaystyle 3}{\displaystyle 50}\). Plug this into \(y=mx+b\):

\(y=\frac{\displaystyle 3}{\displaystyle 50}x+b\)

2) Determine the y-intercept (b)

\(y=\frac{\displaystyle 3}{\displaystyle 50}x+b\)

Plug in a given point and solve for b:

\(1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b\)

Therefore, the y-intercept is \(\frac{\displaystyle 13}{\displaystyle 10}\). Plug this back into \(y=\frac{\displaystyle 3}{\displaystyle 50}x+b\):

\(y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}\)

I hope this helps!

Answer:

Infinatly many solutions

Step-by-step explanation:

mark me brainlyest

Answer:

i would say a or b but probably b

Step-by-step explanation:

The equation, \(g(x) = \sqrt{\frac{1}{4}x }-2\), represents the transformation formed by horizontally stretching the graph of \(f(x) = \sqrt{x}\)  by a factor of 4 and then vertically shifting the graph 2 units down.

What is transformation of graph?

The process of algorithmically producing a new graph from an original graph is known as graph transformation, sometimes known as graph rewriting. It has several uses, including software engineering, layout algorithms, and image.

Consider, the given function \(f(x) = \sqrt{x}\).

If horizontally stretching the graph by 4 units then, the graph  becomes,

\(f(x) = \sqrt{\frac{x}{4} }\).

If vertically shifting the graph 2 units, then the graph becomes,

\(h(x) = \sqrt{\frac{x}{4} } - 2\).

Hence, the transformed form of the graph is, \(h(x) = \sqrt{\frac{x}{4} } - 2\).

So, the third option is correct.

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Answer:

\(\huge\orange{\sin\theta=-\frac{\sqrt 2}{2}}\)

Step-by-step explanation:

\(\bigg(-\frac{\sqrt 2}{2},-\frac{\sqrt 2}{2}\bigg)=(x,\: y)\)

\(\implies x =-\frac{\sqrt 2}{2},\: y=-\frac{\sqrt 2}{2}\)

Let r be the radius of the unit circle centered at origin and passing through the point (x, y).

\(\implies r^2=x^2+y^2\)

\(\implies r^2=\bigg(-\frac{\sqrt 2}{2}\bigg)^2+\bigg(-\frac{\sqrt 2}{2}\bigg)^2\)

\(\implies r^2=\frac{2}{4}+\frac{2}{4}\)

\(\implies r^2=\frac{1}{2}+\frac{1}{2}\)

\(\implies r^2=1\)

\(\implies r=\pm \:1\)

radius of a circle can not be negative.

\(\implies r=1\)

\(\implies \sin\theta=\frac{y}{r}\:1\)

\(\implies \sin\theta=\frac{-\frac{\sqrt 2}{2}}{1}\:1\)

\(\huge\orange{\implies \sin\theta=-\frac{\sqrt 2}{2}}\)

The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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The required graph has been attached below that represents the function f(x) = 5 cos (2x).

The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.

Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.

The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).

Thus, the graph has been attached below that represents the given function.

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Answer:

50.32

Step-by-step explanation:

Answer:

the son is 2

man is 26

+10 yrs

son=12

man=36

Step-by-step explanation:

Let the son's age be x.

Then the father's age is 13x.

In ten years their ages will be (x+10) and (13x+10).

(13x+10)=3(x+10)

13x+10=3x+30

10x=20

x=2

The son is 2 years old.

Answer:

A:8

Step-by-step explanation:

Because it says how much money was earned from a teacher. And only 1 teacher bought an $8 ticket.

Answer:

I would say

Step-by-step explanation:

303030 divided by 666 =455

666x455=303030

455-666=2110

so it would be 2110

\(\huge\textsf{Hey there!}\)

\(\large\textsf{6!}\\\large\textsf{= 6}\times\large\textsf{5}\times\large\textsf{4}\times\large\textsf{3}\times\large\textsf{2}\times\large\textsf{1}\\\large\textsf{6(5) = \bf 30}\\\large\textsf{= 30}\times\large\textsf{4}\times\large\textsf{3}\times\large\textsf{2}\times\large\textsf{1}\\\large\textsf{30(4) = \bf 120}\\\large\textsf{= 120}\times\large\textsf{3}\times\large\textsf{2}\times\textsf{1}\\\large\textsf{120(3) = \bf 360}\\\large\textsf{= 360}\times\large\textsf{2}\times\large\textsf{1}\)

\(\large\textsf{360(2) = \bf 720}\\\large\textsf{720}\times\large\textsf{1}\\\large\textsf{= \bf 720}\)

\(\boxed{\boxed{\huge\textsf{Therefore, your answer is: \bf 720}\huge\textsf{ (option B)}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The length of the fence must be 618cm

The volume that it can hold is 1,909,620 cm³

First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:

C = П*D

Here we use П = 3, then:

C = П*206cm

C = 3*206cm = 618cm

Now the volume, for a cylinder of diameter D and height H, the volume is:

V = П*(D/2)²*H

Replacing the values that we know we will get:

V = 3*(206cm/2)²*60cm = 1,909,620 cm³

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Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Answer:

The one you got wrong is y > 2x - 1. The one not yet filled out is y ≥ -x + 4.

Step-by-step explanation: