Christine received a $15.00 gift card or a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B ( in dollars), on the card after buying x prints is given by the following function. B (x) = 15.00-0.07x. what is the remaining balance of the card if Christine bought 40 prints

Answer:

(x + 3) (x^2 - 6)

Step-by-step explanation:

Factor the following:

x^3 + 3 x^2 - 6 x - 18

Factor terms by grouping. x^3 + 3 x^2 - 6 x - 18 = (x^3 + 3 x^2) + (-6 x - 18) = x^2 (x + 3) - 6 (x + 3):

x^2 (x + 3) - 6 (x + 3)

Factor x + 3 from x^2 (x + 3) - 6 (x + 3):

Answer: (x + 3) (x^2 - 6)

Answer:

[tex]⚪ \: \: 1.27 \: u[/tex]

Step-by-step explanation:

[tex] - 0.62u + u + 0.89u \\ = ( - 0.62 + 1 + 0.89)u \\ = 1.27u[/tex]

[tex](h \times \: g)(b) = (b - 1)^{2} (5b - 9) \\ = ( {b}^{2} - 2b + 1)(5b - 9) \\ = 5 {b}^{3} - 19 {b}^{2} + 23b - 9[/tex]

[tex](h \times \: g)( - 6) = 5( - 6) ^{3} - 19( { - 6}^{2}) + 23( - 6) - 9 \\ = 5( - 216) - 19(36) - 138 - 9 \\ = - 1080 - 684 - 138 - 9 \\ = - 1911[/tex]

I hope I helped you^_^

The value of function (h·g)(b) for x=-6 is -867.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are g(b)=5b-9 and h(b)=(b-1)².

Now, (h·g)(b)=h(b)×g(b)

= (b-1)²×5b-9

= (b²-2b+1)×(5b-9)

= b²(5b-9)-2b(5b-9)+1(5b-9)

= 5b³-9b²-10b²+18b+5b-9

= 5b³-10b²+23b-9

Now, (h·g)(-6)

= 5(-6)³-10(-6)²+23(-6)-9

= -1080+360-138-9

= -867

Therefore, the value of function (h·g)(b) for x=-6 is -867.

To learn more about the function visit:

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I believe the answer you are looking for is 2.4.

Solution:

n over 3/10-2=6

n over 3/10=8

Multiply 3/10 and 8

You will get 2.4.

Answer:

[tex]x-1[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] represent "the number".

The difference of a number and 1

⇒ [tex]x-1[/tex]

I hope this helps!

Answer:

I think it's D.................

Answer:

Hi. 6.2 is rational

Step-by-step explanation:

Irrational numbers never end. They go on forever.

x^3*x^8=x^11 (When you multiply, add the powers)

Answer:

if this is a legitimate math homework question and

not just a question about you personal math class...The answer expected would be calculated using the empirical normal distribution rule (68-9599.7):

1  - F

5 - D's

23 C's

5 - B's

1 -  A

Step-by-step explanation:

Answer:

-15(4) or -4(15) or 15(-4)

Step-by-step explanation:

As long as you stick with the same variables, you can change their position in the equation or change both of their signs. This should give you the same answer.

Let's say your equation was -2(6). This means you must multiply -2 and 6. This should give you -12. You could also phrase it as 2(-6) or -6(2) or 6(-2). They all give you -12 as a result.

Answer:

(-1)(15+15+15+15)

(-15)+ (-15)+ (-15)+ (-15)

Step-by-step explanation:

Hi ;-)

[tex]40\leq4v\\\\4v\geq40 \ \ /:4\\\\v\geq10\\\\\huge\boxed{v\in\langle10;+\infty)}[/tex]

Answer:

[tex]v\geq 10\\[/tex]

Step-by-step explanation:

Divide both sides by 4.

Flip

Answer:

2x^2+5xy+2y^2

Step-by-step explanation:

Area = l*b

Area = (2x+y)*(x+2y)

Area = 2x^2+5xy+2y^2

Answer:

see the picture

Step-by-step explanation:

hope it helps you

please follow me please

AC=13cm

[tex]\\ \sf\longmapsto AB[/tex]

[tex]\\ \sf\longmapsto AC[/tex]

[tex]\\ \sf\longmapsto 13cm[/tex]

Answer:

It is a dependent event, because it depends of the number she'll get rolling the die

Bachelor's degree salary = $53000

Master's degree salary = $66000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = x

Salary of Master's degree holder = 2x - 40000

Master's salary + bachelor's salary = $119,000

Hence,

Master's salary + bachelor's salary = 119,000

2x - 40000 + x = 119,000

3x = 119000 + 40000

3x = 159000

x = 159000 / 3

x = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000

The average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.

Let, the average yearly salary of an individual with a bachelor's degree as "B" and the average yearly salary of an individual with a master's degree as "M".

According to the information given:

The average yearly salary of an individual with a master's degree is $50 thousand less than twice that of an individual with a bachelor's degree:

M = 2B - $50,000

The combined yearly salaries of two people with each of these educational attainments earn $124 thousand:

B + M = $124,000

Now we can solve this system of equations to find the values of B and M.

Substitute the value of M from the first equation into the second equation:

B + (2B - $50,000) = $124,000

3B - $50,000 = $124,000

Now, solve for B:

3B = $174,000

B = $174,000 / 3

B = $58,000

Substitute the value of B back into the first equation to find M:

M = 2B - $50,000

M = 2 * $58,000 - $50,000

M = $116,000 - $50,000

M = $66,000

So, the average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.

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Step-by-step explanation:

1.) two tails :

total no. of outcomes possible is TT,TH,HT,HH

no. of outcomes with TT is 1

p( tails on both) = 1/4

2.) tails at least one:

no. of outcomes with one tails atleast is 3 (TT,th,ht,)

p( atelast one tails) = 3/4

3.) tails on one

no. of outcomes with one tails at most is 2 (th,ht)

p( atmost one tails) is 2/4= 1/2

4. no tails

no. of outcomes with no tails is 1(HH)

p( no tails) = 1/4

hope it's understandable.

Answer:

1.) two tails :

total no. of outcomes possible is TT,TH,HT,HH

no. of outcomes with TT is 1

p(tails on both) = 1/4

2.) tails at least one:

no. of outcomes with one tails atleast

is 3 (TT,th,ht,)

p(atelast one tails) = 3/4

3.) tails on one

no. of outcomes with one tails at most is 2 (th,ht)

p(atmost one tails) is 2/4= 1/2

4. no tails

no. of outcomes with no tails is 1(HH)

p(no tails) = 1/4

Answer:

14x + 4

Step-by-step explanation:

The perimeter of a rectangle is the sum of all its sides. The rectangle have two sides with length 5x + 2, so:

(5x + 2)×2 = 10x + 4

And it also have two sides with length 2x, so:

(2x)×2 = 4x

And now just add it:

10x + 4 + 4x = 14x + 4

Answer: Perimeter = 14x + 4

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

If you are still confused, you may refer to the attachment below for a graphical explanation.

Solve:

Given information

l = 5x + 2

w = 2x

Given expression

Perimeter = 2 (l + w)

Substitute values into the expression

Perimeter = 2 (5x + 2 + 2x)

Combine like terms

Perimeter = 2 (7x + 2)

Expand parentheses and apply the distributive property

Perimeter = 2 · 7x + 2 · 2

Perimeter = 14x + 4

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x=6

Step-by-step explanation:

when there is no 'y' in equation, the line is always

parallel to y-axis

Answer:

Step-by-step explanation:

The set of all real numbers except for 100 in set builder notation (assuming the variable is x) is:

The very first x represents the variable.

The second with the R represents the number. Here, we want all real numbers.

And the third is the constraint. We want all real numbers except for 100.

Answer:

{ x | x ∈ R, x ≠ 100 }

Step-by-step explanation:

Real numbers (R) include all rational and irrational numbers.

Hence, If we need to write it in set-builder notation, we will write as:

{ x | x ∈ R, x ≠ 100 }

In words : "x such that x belongs to R, x is not equal to 100"

This shows that x is any real number except for 100.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex]A_{BCF}[/tex] = 351 cm²

Step-by-step explanation:

Answer:

[tex]1\frac{1}{4}[/tex] cups

Step-by-step explanation:

3/4=3/5

3/4*1/3=3/5*1/3

1/4 = 1/5

1/4*5=1/5*5

5/4=5/5

5/4= 1 and 1/4 cups

Hope this helped! Please mark brainliest :)

~~ SUMMER ~~

Answer:

No!

Step-by-step explanation:

An integer is a a whole negetive number. A few examples are 4, -4, or even 4/4.

Answer: -1, 13

Step-by-step explanation:

mark me brainliest if you want plz

Midpoint formula:  (x2 + x1)/2, (y2 + y1)/2

(-6 + 4) / 2, (14 + 12) / 2

(-2) / 2, 26 / 2

(-1, 13)

Answer:

Boys: 21.22 Girls: 16.89

Answer: A

Step-by-step explanation:

Add all the data points and divide it by the number of the data points.

Answer:

-350ft

Step-by-step explanation:

so basically 605 is negative and 255 is a negative then you add those two then it would be -860 then you subtract the positive 475 and that will equal -350

Answer:

B)642

Step-by-step explanation:

Between 1 and 9 , it will use 9 letters

Between 10 and 99, there are 90 different numbers and every number have 2 digits so it will use 180 letters

Between 100 and 250 , there are 151 different numbers and every number have 3 digits so it will use 453 letters

Totally it used 9+180+453=642

Answer:

| t − 15 | = 4

Step-by-step explanation:

absolute value is weird and i see no use for it