Melinda creates jewelry. After purchasing supplies, she had $150 left in her account. She sells five bracelets and a necklace making her new account total $235. If the necklace sold for $22.50, which equation can be used to determine the sales price of the bracelets?

Answer:

f(x) = -5/9 x + 5 1/9

Step-by-step explanation:

f(2)=4 and f(−7)=9 means the line pass through (2,4) and (- 7,9)

f(x) = mx + b

m = (y-y') / (x-x') = (9 - 4) / (- 7 - 2) = - 5/9

for (2,4) : b = f(x) - mx = y - mx = 4 - (- 5/9) x 2 = 4 + 10/9 = 46/9 = 5 1/9

f(x) = -5/9 x + 5 1/9

check for (-7, 9)    f(-7) = (-5/9) * (-7) + 5 1/9 = 35/9 + 46/9 = 81/9 = 9

Final answer:

The linear function that satisfies the given points f(2)=4 and f(-7)=9 is f(x) = (-5/9)x + (46/9).

Explanation:

To write a linear function f(x) that satisfies f(2)=4 and f(-7)=9, one must determine the slope and y-intercept of the line. A linear function has the form y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope using the two points (2, 4) and (-7, 9):

Slope (m) = (y2 - y1) / (x2 - x1) = (9 - 4) / (-7 - 2) = 5 / -9.

Now we have the slope which is -5/9. We can use one of the points and the slope to find the y-intercept (b). Let's use the point (2, 4):

4 = (-5/9)(2) + b

b = 4 + (10/9) = 46/9

Therefore, the linear equation of the function is:

f(x) = (-5/9)x + (46/9).

Answer:

Step-by-step explanation:

Answer:

73155

Step-by-step explanation:

To complete the sequence, we need to know the pattern.

88511= [tex]8+8, 8-5, 5\times 1, \frac{1}{1} = 16351[/tex]

16351= [tex]1+6, 6-3, 3\times 5, \frac{5}{1} = 73155[/tex]

73155= [tex]7+3, 3-1, 1\times 5, \frac{5}{5} = 10251[/tex]

10251

∴ The missing number is 73155 and complete sequence is 88511,16351,73155, 10251

Answer:

10

Step-by-step explanation:

Multiply 7.25 and 7

that gets you 50.75

Then subtract 50.75 from 95.75

thats get you 45

Last divide 45 from 4.50

that gets you 10

Answer:

y=4x-8

Step-by-step explanation:

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

m=(-12-8)/(-1-4)

m=-20/-5

m=4

y-8=4(x-4)

y=4x-16+8

y=4x-8

Answer:

2

Step-by-step explanation:

Average rate of change of a function between x=a and x=b is:

[ f(b) − f(a) ] / (b − a)

On the interval 3 ≤ x ≤ 5:

[ f(5) − f(3) ] / (5 − 3)

[ (5²/4 − 5) − (3²/4 − 5) ] / (5 − 3)

(25/4 − 5 − 9/4 + 5) / (5 − 3)

(25/4 − 9/4) / (5 − 3)

(16/4) / 2

2

Answer:

42. Graph a

43. Not possible.

44. Graph e

45. Graph c

46. Graph b.

Step-by-step explanation:

42. 7x + 13 ≥ 55

⇒ x ≥ 6

So, it matches graph a.

43. 12x - 8 > 4(3x + 2)

⇒ 12x - 8 > 12x + 8

Hence, d. not possible.

44. [tex]\frac{x}{- 4} - 3 < - 1[/tex]

⇒ [tex]\frac{x}{- 4} < 2[/tex]

⇒ x > - 8

Hence, graph e matches.

45. - 4(- 2x + 3) ≤ 5 + 8x

⇒ 8x - 12 ≤ 5 + 8x

⇒ - 12 ≤ 5

This is true for all values of x, hence that matches graph c.

46. - 4(x + 3) > 8(x + 3)

⇒ - 4x - 12 > 8x + 24

⇒ 12x < - 36

⇒ x < - 3

Hence, graph b matches the situation. (Answer)

Answer:

3rd option

Step-by-step explanation:

We have two kind of necks and three different colours so the andswer would be 3rd option

Crew-neck :CB,CY,CG

V-neck : VB,VY,VG

Answer:

The 3rd one is correct.

Step-by-step explanation:

1. I would multiply the dimensions of each room to find the area of each room. Then I can add up the areas to get the total area.

2. (24.5x16)+(15x12.75)+(10.5x10.5)

3. 392+191.25+110.25 = 693.5 ft²

Answer:

27 miles

Step-by-step explanation:

Find the rate or speed that Shawn hikes at. Find this reduced to lowest terms.

speed = distance / time

speed = 12 miles / 4h

speed = 3miles / h

Every hour, Shawn hikes 3 miles.

Multiply speed by time to find distance.

3mph X 9h = 27 miles

Therefore Shawn could hikes 27 miles in 9 hours.

Answer:

C) x2 + x = 306

Step-by-step explanation:

x2 + x = 306

x2 + x - 306  = 0

x2  + 18x - 17x + 18 * (-17) = 0

x ( x + 18) - 17 (x +18) =0

(x + 18) (x - 17 ) = 0

x = -18 or 17

Answer: -2

Step-by-step explanation:

This is the greatest value for f(x).

area of triangle = 1/2bh

area = 1/2(120)(252) = 15120 in²

answer: C

Answer:

C) 15,120 square inches

Step-by-step explanation:

To solve this problem we first need to convert both legs of the triangle to inches. 10 ft * 12 is 120 and 7 yards is roughly 21 ft and that times 12 is 252. All we have to do now is to plug these values into the formula for area of a triangle: 1/2(b x h) = 1/2(252 * 120) = 1/2(30240) = 15,120 square inches.

Answer:

kaleb is correct

Step-by-step explanation:

The awsner  is Brook did the distance between L and M, Vivian however did the distance between M and N. Hope this helps you

Answer:

Complete paragraph proof withe Diagram is below.

Δ PMB ≅ Δ KMB ...........SAS congruence theorem

∴ PB ≅ KG ......corresponding parts of congruent triangles are congruent

Step-by-step explanation:

Complete the paragraph proof.

Given: M is the midpoint of

Prove: ΔPKB is isosceles

Triangle P B K is cut by perpendicular bisector B M. Point M is the midpoint of side P K.

It is given that M is the midpoint of and . Midpoints divide a segment into two congruent segments, so . Since and perpendicular lines intersect at right angles, and are right angles. Right angles are congruent, so . The triangles share , and the reflexive property justifies that . Therefore, by the SAS congruence theorem. Thus, because __corresponding parts of congruent triangles are congruent _.

Finally, ΔPKB is isosceles because it has two congruent sides.

Δ PMB ≅ Δ KMB ...........SAS congruence theorem

∴ PB ≅ KG ......corresponding parts of congruent triangles are congruent

Answer: A

Step-by-step explanation:

The expressions logM^(p)=p*logM and log ((M)/((N)))=logM-logN both correctly apply rules of logarithm, while log ((M)/((N)))=(logM)/(logN) and (logM)^(p)=p*logM don't.

The subject matter involves logarithmic identities in Mathematics, specifically, rules of logarithms. Logarithms have certain properties that allow us to simplify complex expressions.

Let's go through each expression:

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Answer:

$120

Step-by-step explanation:

Let the cost of the dress be "c"

ONE HALF the cost DECREASED by 12, can be written as:

[tex]\frac{1}{2}c-12[/tex]

2/5th the cost of dress, can be written as:

[tex]\frac{2}{5}c[/tex]

Now, we equate both parts and solve for c to get cost of dress. Shown below:

[tex]\frac{1}{2}c-12=\frac{2}{5}c\\\frac{1}{2}c-\frac{2}{5}c=12\\\frac{5-4}{10}c=12\\\frac{1}{10}c=12\\c=\frac{12}{\frac{1}{10}}\\c=12*10\\c=120[/tex]

Thus,

The ccost of the dress is $120

Answer:

B

Step-by-step explanation:

9000-500 = 8500

8500 × (3/100) =255

8500 + 255 = 8755

8755 × (3/100) = 262.65

8755 + 262.65 = 9017.65

hence, the answer is B

*please correct me if im wrong ^^

Answer:

b) 2 years

Step-by-step explanation:

If you have $9000 in the saving account, and you take $500, you are left with:

$9000 - $500 = $8500

in one year you will have 3% more of the 8500 which is:

8500/100*3 = $255

so in one year the number on your savings account is:

8500 + 255 = $8755

and by the next year you will have 3% more of the 8755 which is:

8755/100*3 = $262.65

so in two years the number on your savings account is:

8755 + 262.65 = $9017.65

which is a little bit more than the $9000.

so it will take 2 years until the calance again reaches $9000

Answer:

[tex]26\frac{2}{3}[/tex]  minutes  (or 26 minutes 40 seconds)

Step-by-step explanation:

This problem can be very easily solved with ratios and proportions.

We can create two ratios and equate them. Then we cross multiply and find the unknown.

Let the time it takes to walk 2/3rd of the way be "t".

We will keep minutes on top (numerator) and the fractional way on the bottom (denominator) when creating our ratios.

Simply put,  10 mins = 1/4th of the way, so "t" mins means 2/3rd of the way. Thus we can write:

[tex]\frac{10}{\frac{1}{4}}=\frac{t}{\frac{2}{3}}\\\frac{1}{4}t=10*\frac{2}{3}\\\frac{1}{4}t=\frac{20}{3}\\t=\frac{\frac{20}{3}}{\frac{1}{4}}\\t=\frac{20}{3}*\frac{4}{1}\\t=\frac{80}{3}\\t=26\frac{2}{3}[/tex]

sO, IT IS GOING to take  [tex]26\frac{2}{3}[/tex] minutes to go 2/3rdof the way.

Or, 26 minutes and 40 seconds

Final answer:

To find out how long it takes to walk 2/3 of the way home, set up a proportion using the information given. so 26.7 minutes take to walk.

Explanation:

To find out how long it takes to walk 2/3 of the way home, we can set up a proportion using the information given. If 10 minutes is how long it took Lisa to walk 1/4 of the way, we can say that:

10 minutes = 1/4 of the way

To find out how long it takes to walk 2/3 of the way, we can set up another proportion:

x minutes = 2/3 of the way

We can cross multiply the proportions to solve for x:

10 * (2/3) = x * (1/4)

20/3 = x/4

To solve for x, we can multiply both sides of the equation by 4:

80/3 = x

So, it takes approximately 26.7 minutes to walk 2/3 of the way home.

Answer:

#5

It is not a function because the some x-values can have more than one possible y-value. The x-values can have the positive and negative y-value.

Step-by-step explanation:

The equation is the equation for a circle. When you graph a circle, it does not pass the vertical line test.

Example: if x is 6

6² + y² = 100

36 + y² = 100

y² = 100 - 36

y² = 64

y = ± √64   This is true because: (-8)² = 64 AND 8² = 64

y = -8 OR 8

By the way, for #4 it is not a function.

The points (13, 4) and (13, -4) mean that x will have more than one y value. The x-value 13 will have y-values 4 and -4.

Answer:

two real solution

Step-by-step explanation:

x^2 + 10x − 25 = 0

we can solve this by finding out the value of x

lets assume the equation is   a\times x^{2}+b\times x+c=0

x=-b\pm \sqrt{(b^{2}-4ac)}\div 2a

x=-10\pm\sqrt{100+4*25}\div2

x=-5\pm5\sqrt2

then we get both real value of x

so two real solution

The two numbers are 30 and 11

Solution:

Given that we have to separate the number 41 into two parts

Let the second number be "x"

Given that first number is eight more than twice the second number

first number = eight more than twice the second number

first number = 8 + twice the "x"

first number = 8 + 2x

So we can say first number added with second number ends up in 41

first number + second number = 41

8 + 2x + x = 41

8 + 3x = 41

3x = 41 - 8

3x = 33

x = 11

first number = 8 + 2x = 8 + 2(11) = 8 + 22 = 30

Thus the two numbers are 30 and 11

Answer:

3m + 4

Step-by-step explanation:

4 is the starting number of stamps and 3m represents 3 stamps per month

Answer:

55

Step-by-step explanation:

13+6*7=13+42=55

Answer:

A. The Number of Lost games = 154 Games

B. Number of games won is greater than the number of games lost.

Step-by-step explanation:

A. how many games did they lose in both years?

Total Number of games = 104 tournaments x 3 Games in each tournament

Total Number of games = 312 Games

The No. of Lost games= Total Games in 2 years - Games won in 1st year - Games won in 2nd year

The No. of Lost games = 312 - 55 - 103

The No. of Lost games = 154 Games

B. Is the number of games won greater than the number of games lost?

Total Number of Games won = 158 Games

Total Number of Games lost = 154 Games

Hence, Total Number of Games won is greater than the Total Number of Games lost.

Answer:

(x, y ) → (x + 6, y + 12 )

Step-by-step explanation:

We require to determine the horizontal and vertical shift to go from one of the points on the line to the corresponding point on the image

Consider point V with x- coordinate - 8 and y- coordinate - 2

The corresponding point is V'

with x- coordinate - 2 and y- coordinate 10

Thus V → V' is 6 units right in the horizontal direction and 12 units up in the vertical direction.

These are the same shifts for W → W'

Thus the translation rule is

(x, y ) → (x + 6, y + 12 )

Answer:

3 it teaches them a lesson by dont judge someone by how he looks

everyone was judging her cause of her religious and looks and in the end they admired the wall that she had painted cause it teaches them a lesson dont judge a book by it cover

4 Was the painter an “outsider” or a part of the community? Why? she was an outsider she came for a purpose and its to paint the wall text from the story "The painter lady has come to town ostensibly with the purpose of painting a mural."

Answer:

Paolo reads in total 26 fiction and 14 non- fiction books.

Step-by-step explanation:

Here, the total number of books read by Paolo = 40 books

The percentage of non-fiction books read = 35%

Now, 35% of total books read =  35% of 40

⇒ [tex]\frac{35}{100} \times 40 = 14[/tex]

So, the number of non -fiction books read by Paolo = 14

Now, the number of fiction booosk read

= Total books read - Non- Fiction books read

=  40 - 14  =  26

So, the number of fiction books read by Paolo = 26

Hence, Paolo reads in total 26 fiction and 14 non- fiction books.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [ a, b ] is

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

Here [a, b ] = [ - 2, 2 ], thus

f(b) = f(2) = [tex]\frac{1}{8}[/tex] × 2³ - 2² = 1 - 4 = - 3

f(a) = [tex]\frac{1}{8}[/tex] × (- 2)³ - (- 2)² = - 1 - 4 = - 5

average rate of change = [tex]\frac{-3-(-5)}{2-(-2)}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

The average rate of change of h over the interval −2≤x≤2 is 1/2.

Here,

The function is [tex]h(x)= \frac{1}{8} x^3-x^2[/tex] and the interval −2≤x≤2.

We have to find, the average rate of change of h over the interval −2≤x≤2.

What is Average rate?

The  Average rate of change of function f( x ) in the close interval [a, b ]

is, [tex]\frac{f(a)-f (b)}{b-a}[/tex]

Now,

The function is [tex]h(x)= \frac{1}{8} x^3-x^2[/tex] and the interval −2≤x≤2.

Hence, [tex]h(-2) = \frac{1}{8} *(-2)^{3} -( -2)^{2} = -5[/tex]

And, [tex]h(2) = \frac{1}{8} *(2)^{3} -( 2)^{2} = -3[/tex]

So, Average rate of change of function h(x) = [tex]\frac{-3-(-5)}{2-(-2)} = \frac{2}{4} = \frac{1}{2}[/tex]

The average rate of change of h over the interval −2≤x≤2 is 1/2.

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113

Step-by-step explanation:

7 plus 6 is 14 carry the one over to the 6 of the 67 then add the one the six and the four that equals 11

that gets you

113