The function g is defined by g(x)=cx-3, where c is a constant. Find c if the value of g(x) at x=0.5 is equal to -1

Answer:

y=K/4z

Step-by-step explanation:

K=4yz

y=K/4z

Answer:

Step-by-step explanation:

subtract 7 from both sides

4x = -2x + 12

add 2x to both sides

6x = 12

divide both sides by 6

x = 2

Answer:

I believe its 20% thats counting the 10% shipping cost

Step-by-step explanation:

Final answer:

Kedwin needs a minimum sale rate of approximately 24.29% in order to afford the headphones.

Explanation:

To calculate the minimum sale rate that Kedwin needs to be able to afford the headphones, we first need to calculate the total cost of the headphones including shipping. The headphones cost $175.00 and the shipping is 10% of the cost, which is $17.50. So the total cost is $175.00 + $17.50 = $192.50.

Next, we subtract Kedwin's current funds, $150.00, from the total cost, $192.50, to find the amount he still needs, which is $192.50 - $150.00 = $42.50.

Finally, we divide the amount he still needs by the original cost of the headphones and multiply by 100 to find the minimum sale rate. In this case, the calculation is ($42.50 / $175.00) * 100 = 24.29%. Therefore, Kedwin needs a minimum sale rate of approximately 24.29% in order to afford the headphones.

Answer:

A lipid

Step-by-step explanation:

When 1 "Glycerol "and 3"Fatty Acids" form a bond the new molecule is called "Triglyceride" which is a type of "Lipid"

Answer:

544.5π cm³ ≈ 1711 cm³

Step-by-step explanation:

Each cylinder has a bore (diameter) of 11 cm, and stroke (height) of 6 cm.

V = πr²h

V = π (11 cm / 2)² (6 cm)

V = 181.5π cm³

There are 3 cylinders, so the total volume is:

3V = 544.5π cm³

3V ≈ 1711 cm³

To calculate the total stroke volume of an inline 3-cylinder engine with an 11 cm bore and a 6 cm stroke, calculate the area of the bore, find the volume of one cylinder by multiplying by the stroke, and then multiply by the number of cylinders. The total stroke volume of the engine is 1710.6 cm³.

The student asked to calculate the total stroke volume of an inline 3-cylinder engine with an 11 cm bore and a 6 cm stroke. The formula to calculate the volume of a single cylinder is V =  rac{ ext{ extpi}}{4}  imes D^2  imes S, where V is the volume, D is the diameter of the bore, and S is the stroke. In this case, D would be 11 cm, and we would need to square this value, then multiply by  extpi/4 and by the stroke length of 6 cm, then multiply the result by the number of cylinders, which is 3, to get the total engine displacement.

Step by step, we first calculate the area of the bore (cylinder base):
Area =  extpi  imes (radius)² =  extpi  imes (5.5 cm)²
=  extpi  imes 30.25 cm²
= 95.0332 cm². Next, we calculate the volume of one cylinder: Volume = Area  imes Stroke = 95.0332 cm²  imes 6 cm = 570.1992 cm³. Finally, we find the total volume for all three cylinders: Total Volume = 570.1992 cm³  imes 3
= 1710.5976 cm³. Thus, the total stroke volume of the engine is 1710.5976 cm³ or rounded to 1710.6 cm³.

Answer:

The inverse variation function can be written as:

[tex]f(x)=\frac{-200}{x}[/tex]

Step-by-step explanation:

Given :

[tex]f(x)[/tex] varies inversely with [tex]x[/tex]

when [tex]x=20[/tex], [tex]f(x)=-10[/tex]

To find the inverse variation equation.

Solution:

[tex]f(x)[/tex] varies inversely with [tex]x[/tex] can be represented as:

[tex]f(x)[/tex] ∝ [tex]\frac{1}{x}[/tex]

Thus, [tex]f(x)=\frac{k}{x}[/tex]

where [tex]k[/tex] represents the constant of proportionality.

We can determine the value of [tex]k[/tex] by plugging in the values given.

when [tex]x=20[/tex], [tex]f(x)=-10[/tex]

So, we have

[tex]-10=\frac{k}{20}[/tex]

Multiplying both sides by 20.

[tex]20\times (-10)=20\times \frac{k}{20}[/tex]

[tex]-200=k[/tex]

Thus  the inverse variation function can be written as:

[tex]f(x)=\frac{-200}{x}[/tex]

The total profit is :$37.46. Number of boxes for pop B to purchase more is 56 boxes.

Step-by-step explanation:

1.

Pop B number =36

Remaining Pop B after meeting = 36-17 =19

Amount obtained after selling remaining Pop B = 19* 0.75 = $14.25

Pop A number =75

Remaining Pop A after meeting = 75-8 =67

Amount obtained after selling pop A = 67*0.5 =$33.5

Profit in Pop B = $14.25-$3.79 =$10.46

Profit in Pop A =$33.5 -$6.50 = $27

Total profit after sell of Pop A and B = $10.46+$27 = $37.46

2.

The target profit is $250

Subtracting profit meet = $250 - $ 37.46 =$212.54

Profit to be attained by the sell of pop B only should be =$212.54

Selling price of pop B per box is $3.79

Number of boxes for pop B to purchase more will be;

$212.54/ $3.79 = 56.08 ⇒ 56  more boxes

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Answer:

B  [tex]x^4-x^3+x^2-x+1[/tex]

Step-by-step explanation:

Given,

Dividend = [tex](x^5+1)[/tex]

Divisor = [tex](x+1)[/tex]

Now According to the rule of Division.

Step 1: At first dividend is [tex](x^5+1)[/tex] and Divisor is [tex](x+1)[/tex] when it is divided for the first time the quotient will be [tex]x^4[/tex] and remainder will be [tex]-x^4+1[/tex]

Step: 2 Now the remainder of step 1 will be new dividend which is [tex]-x^4+1[/tex] and Divisor is [tex](x+1)[/tex]  so when it is divided the quotient will be [tex]x^4-x^3[/tex] and remainder will be [tex]x^3+1[/tex]

Step: 3 Now the remainder of step 2 will be new dividend which is [tex]x^3+1[/tex] and Divisor is [tex](x+1)[/tex]  when it is divided the quotient will be [tex]x^4-x^3+x^2[/tex] and remainder will be [tex]-x^2+1[/tex]

Step: 4 Now the remainder of step 3 will be new dividend which is [tex]-x^2+1[/tex] and Divisor is [tex](x+1)[/tex]  when it is  divided the quotient will be [tex]x^4-x^3+x^2-x[/tex] and remainder will be [tex]x+1[/tex]

Step: 5 Now the remainder of step 4 will be new dividend which is [tex]x+1[/tex] and Divisor is [tex](x+1)[/tex]  when it is divided the quotient will be [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.

Hence When the polynomial [tex](x^5+1)[/tex] is divided by  [tex](x+1)[/tex] the answer or quotient will be equal to  [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{4}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 4x - 3 ( add 3 to both sides )

y + 3 = 4x ( divide both sides by 4 )

[tex]\frac{y+3}{4}[/tex] = x

Change y back into terms of x

[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{4}[/tex]

First solving for log5(92):

log5(92) = log(92) / log(5) = 2.8095 = 2.810

Now to change to base 3:

log3(x) = log5(92)

Solve for x:

x = 3^(log5(92)

x = 3^2.810

x = 21.903

The answer would be the first one.

Answer:

I got A

Hope this helps

Step-by-step explanation:

Answer:

The two tires she bought is $35+$35 which then equals to $70. She spent $70 on tires. She then sold them for $65. She bought three rims, each $75... $75+$75+$75 which then equals her $225. And then sold them for $136. She then bought four headlight covers for $4 each... $4+$4+$4+$4, which equals her $16. Then sold them for $15. Her total profit is -$95. How i got that answer you say, well, if you calculate how much she spent on everything in total, she spent -$311 on everything. You then calculate how much she gained by selling everything she had bought, which was a total of $216. Add both of the total prices, -$311+216= you get -$95.

Step-by-step explanation:

Answer:

298

Step-by-step explanation:

35*2=70 65*2=130  130-70=60

75*3=225 136*3=408   408-225=183

5*4=20 15*5=75    75-20=55

55+60+183=298

Answer:

B

Step-by-step explanation:

Answer:

4 foot

Step-by-step explanation:

√50.25 / 3.1416 = 4

The diameter of the circular sprinkler is 16 feet.

To find the diameter of the circular sprinkler, we can use the formula for the circumference of a circle: C = πd, where C is the circumference and d is the diameter. In this case, we are given the length of the copper tubing used, which is equal to the circumference. So we can rearrange the formula to solve for the diameter: d = C/π. Plugging in the given values, we have d = 50.25/π. Using the value of π as approximately 3.14, we can calculate the diameter to the nearest whole foot.

d ≈ 50.25/3.14 ≈ 16.01 feet

Therefore, the diameter of the circular sprinkler to the nearest whole foot is 16 feet.

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Answer:

The Range is {3, 6}.

Step-by-step explanation:

The correct question is

Find the range of the function below if the domain is {-1,0,2} f(x)=x^2 -2x+3

we know that

The domain represents all possible values of x.

The range represents all possible values of f(x)

Substitute all of the possible x-values (domain) into the formula to find all possible f(x) values (the range).

For x=-1

[tex]f(-1)= (-1)^{2} - 2(-1) + 3[/tex]

[tex]f(-1)=1+2+ 3[/tex]

[tex]f(-1)=6[/tex]

For x=0

[tex]f(0)= (0)^{2} - 2(0) + 3[/tex]

[tex]f(0)=0-0+ 3[/tex]

[tex]f(0)=3[/tex]

For x=2

[tex]f(2)= (2)^{2} - 2(2) + 3[/tex]

[tex]f(2)=4-4+ 3[/tex]

[tex]f(2)=3[/tex]

therefore

The Range is {3, 6}.

Answer:

7x + 15x= 21x

Step-by-step explanation:

7x + 15x

= (7 + 15)x

= 22x

Answer: 22x

Step-by-step explanation: +7x and +15x are called terms and the numbers in front of the variables, +7 and +15 are called coefficients.

Because the variables, x and x, are identical, the two terms in this problem are called like terms. Like terms can be added together by simply adding their coefficients. So in this problem, since 7 + 15 is 22, 7x + 15x is simply 22x.

Answer:

Bryson’s age is 14 years

Step-by-step explanation:

Let

x ----> Bryson’s age

we know that

Bryson’s age multiplied by 3 minus 4 must be equal to 38

so

The linear equation that represent this situation is

[tex]3x-4=38[/tex]

solve for x

Adds 4 both sides

[tex]3x=38+4[/tex]

[tex]3x=42[/tex]

Divide by 3 both sides

[tex]x=14[/tex]

therefore

Bryson’s age is 14 years

Answer:

[tex]\large\boxed{y=\dfrac{1}{2}x^2-2x+1}[/tex]

Step-by-step explanation:

The vertex form of an equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

(h, k) - vertex

a - leading coefficient in equation y = ax² + bx + c

From the grap we can read coordinates of the vertex (2, -1) and y-intercept (0, 1).

Therefore h = 2, k = -1

Put the values of h, k and coordinates of the y-intercept to the equation of parabola:

[tex]1=a(0-2)^2-1[/tex]     add 1 to both sides

[tex]1+1=a(2)^2-1+1[/tex]

[tex]2=4a[/tex]              divide both sides by 4

[tex]\dfrac{2}{4}=\dfrac{4a}{4}\\\\\dfrac{1}{2}=a\to a=\dfrac{1}{2}[/tex]

Therefore we have the equation:

[tex]y=\dfrac{1}{2}(x-2)^2-1[/tex]

Convert to the standard form:

[tex]y=\dfrac{1}{2}(x-2)^2-1[/tex]       use (a - b)² = a² - 2ab + b²

[tex]y=\dfrac{1}{2}(x^2-2(x)(2)+2^2)-1[/tex]

[tex]y=\dfrac{1}{2}(x^2-4x+4)-1[/tex]           use the distributive property

[tex]y=\dfrac{1}{2}x^2-\dfrac{1}{2}\cdot4x+\dfrac{1}{2}\cdot4-1[/tex]

[tex]y=\dfrac{1}{2}x^2-2x+2-1[/tex]          combine like terms

[tex]y=\dfrac{1}{2}x^2-2x+1[/tex]

Answer:

16=m-14

To find the value of m you want to add 14 to each side

30=m

Step-by-step explanation:

Answer:

$952

Step-by-step explanation:

I don't know why sheet is after 56, but I think they just want you to multiply 57 and 17.

This question is incomplete. I found similar question with picture. Please refer to the attachment to relate with my answer

Full Question:

Various dilations of square A are shown. Which square was obtained by dilating square a by the scale factor of 3.

Answer:

E

Step-by-step explanation:

The square a is a 2 unit x 2 unit square. With scale factor of 3. Any unit length of the object must be multiplied by 3

In this case, since the object side is 2, the image side must be 2x3 = 6 units.

Therefore, the dilation of square A with factor of 3 is square E

Answer:

$4250

Step-by-step explanation:

i = prt

or

p = i / rt

where,

i = $1,785

r = 6% = 0.06

t = 7 years

So, we can calculate initial vale by putting the values in above equation;

p = $1,785 / (0.06 x 7)

p = $1,785 / 0.42

p = $4,250

Hence the initial value will be $4250

Answer:

Step-by-step explanation:

the first day he used 30 cups

the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.

so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30

15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply

0.15(x - 30) = 90

0.15x - 4.5 = 90

0.15x = 90 + 4.5

0.15x = 94.5

x = 94.5 / 0.15

x = 630 total cups <==

lets check..

start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it

15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box

Answer:

630

Explanation:

15% * number of remaining cups = 90

15% * (x-30) = 90

0.15(x-30) = 90

0.15x - 4.5 = 90

0.15x = 94.5

x = 630

Answer:

SAS , ASA, SSS

Step-by-step explanation:

SAS , side A= side A . Angle B= Angle C, side R= side R

ASA, Angle A= Angle A . Side B= side C, Angle R= Angle R

SSS

side A= side A . Side B= side c, side R= side R

Answer:

70 degrees

Step-by-step explanation:

Complementary angles sum up to 90.

To find the larger angle, you find the total of the values in the ratio, divide the larger value of the ratio by the total and multiply it by 90.

(7/7+2)×90=7/9×90

=7×10

=70

OR

Write an equation:

7x+2x=90

9x=90

x=10

Then multiply x by the larger value.

7x=7 (10)=70

Answer:

y=3/8

Step-by-step explanation:

-6y+13+9y=3y+13

3y+13=8y-3-6y+13+9y

3y+13=2y+9y-3+13

3y+13=11y+10

13=11y-3y+10

13=8y+10

8y=13-10

8y=3

y=3/8

Answer:

18000×75÷100 =13500 ×3 =40500 .

Note: Since you missed to add the figure. So, after a little research I am kind of able to find the figure and hence, assuming it as a reference. Hence, I am attaching the figure and solution of that figure is also visible in the same figure. Please check the attached figure (a)

Answer:

Segment B'D' will be parallel to segment BD and will be shorter than segment BD. Please see the attached figure (a) for better understanding.

Step-by-step explanation:

As we know that there are certain rules when a quadrilateral is dilated by a certain scale centered around a certain point.

So,

Let suppose P(a, b) is the point.

The dilation rule by a scale factor of 1 over 3 or (1/3) centered around (1, 2) is

P(a, b) → [tex]P(\frac{x+2}{3}, \frac{y+4}{3})[/tex]

Hence,

            A(1, 2) → A'(1, 2)

            B(2, 3) → B'(4/3, 7/3)

            C(4, 2) → C'(2, 2)

             D(2, 1) → D'(4/3, 5/3)

The attached figure show that if we draw the all these points in the coordinate plan i.e. A(1, 2), B(2, 3), C(4, 2), D(2, 1) and A'(1, 2), B'(4/3, 7/3), C'(2, 2), D'(4/3, 5/3), we can determine that Segment B'D' will be parallel to segment BD and will be shorter than segment BD.

Keywords: dilation, quadrilateral, segment

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Answer: C) segment B prime D prime will be parallel to segment BD and will be shorter than segment BD.

Answer:

b=-108

Step-by-step explanation:

To solve this equation for b, you simply multiply each side by 18. The reason you do this is to isolate the b.

[tex]-6=\frac{b}{18}[/tex]

[tex]18(-6)=(\frac{b}{18} )(18)[/tex]

[tex]-108=b[/tex]