A sales person makes $200 each week plus an additional $24 per sale. This sales person wants their weekly paycheck to be at least $500.Which inequality could be used to solve for how many sales () the sales person will have to make to reach or exceed their goal?

Answer:

The solutions to the quadratic equations are:

[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]

Step-by-step explanation:

Given the function

[tex]y\:=\:x^2\:-\:6x\:-\:4[/tex]

substitute y = 0 in the equation to determine the zeros

[tex]0\:=\:x^2\:-\:6x\:-\:4[/tex]

Switch sides

[tex]x^2-6x-4=0[/tex]

Add 4 to both sides

[tex]x^2-6x-4+4=0+4[/tex]

Simplify

[tex]x^2-6x=4[/tex]

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

[tex]x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2[/tex]

[tex]x^2-6x+\left(-3\right)^2=13[/tex]

Apply perfect square formula:  (a-b)² = a²-2ab+b²

[tex]\left(x-3\right)^2=13[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solve

[tex]x-3=\sqrt{13}[/tex]

Add 3 to both sides

[tex]x-3+3=\sqrt{13}+3[/tex]

Simplify

[tex]x=\sqrt{13}+3[/tex]

now solving

[tex]x-3=-\sqrt{13}[/tex]

Add 3 to both sides

[tex]x-3+3=-\sqrt{13}+3[/tex]

Simplify

[tex]x=-\sqrt{13}+3[/tex]

Thus, the solutions to the quadratic equations are:

[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]

Answer:

Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . ... This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form.

Step-by-step explanation:

Answer:

ax+by=c

Step-by-step explanation:

this is standard for, if that's what you'e asking for

Answer:

apple

Step-by-step explanation:

Answer:

3x - 5y = 17

3(9) - 5(2) = 17

27 - 10 = 17

x = 9

y = 2

---------------------

9x - 15y = -4

I believe this equation has no proper solution. Every "solution" I have found ends with repeating decimals & fractions.

Answer:

A. Store A will cost about $1.28 less

Step-by-step explanation:

Store A:

Unit rate = y/x

Using any given pair, say (3, 7.26),

Unit rate = 7.26/3 = $2.42 per gallon

So, of a customer is buying 16 gallons at Store A, he'd pay:

$2.42 * 16 = $38.72

Store B:

Unit rate = y/x

Using any point on the graph, say (20, 50),

Unit rate = 50/20 = $2.5 per gallon

So, of a customer is buying 16 gallons at Store B, he'd pay:

$2.5 * 16 = $40.

Cost of Store B - Cost of Store A = $40 - $38.72 = 1.28

This means that Store A cost about $1.28 less

Answer:

a=30  b=30 c= 75

Step-by-step explanation:

By inferring that all triangles are the same measurments, you can easily knock out A and B since it is the same angle that is labeled 30 degrees.

Now to find C you need to know that all angles of a triangle add up to 180 degrees. You also need to know that both bottom angles are the same angle measurement, indicated by the little circle in the angle.

So, For the middle triangle you can create an equation. 30(which was b) + 2c = 180

Subtract 30 from both sides and you are left with:

2c = 150

Divide by 2 on each side:

c= 75

Answer:

Response Error

Step-by-step explanation:

A: 8,512

Any number with the 5 in the thousandths place value would be your answer.

The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is

(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2

… = ((-64 + 80 + 4) - 4) / 2

… = 16 / 2

… = 8

h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.

Answer:

{y, x} = {-5, -2}

Answer:

20,since each kilo of rice fills two bags so he i'll have 40 bags.

Answer: each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign.

Step-by-step explanation:

Answer:

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude, but opposite in sign.

Step-by-step explanation:

Step-by-step explanation:

One possible solution would be p being the total gallons of paint needed to buy, 250 in the first box (because 250 square feet per gallon), 250 in the second box (because you have 1 gallon = 250 sq. feet leftover) = 1600 (total)

Given:

Multiply: [tex](3x-5)(-x+4)[/tex].

To find:

The simplified product in standard form.

Solution:

We have,

[tex](3x-5)(-x+4)[/tex]

Applying the distributive property, the expression becomes

[tex]=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)[/tex]

[tex]=(-3x^2)+12x+5x+(-20)[/tex]

On combining like terms, we get

[tex]=-3x^2+(12x+5x)-20[/tex]

[tex]=-3x^2+17x-20[/tex]

Therefore, the simplified product in standard form is [tex]-3x^2+17x-20[/tex].

Answer:

4.7 (does not =) 2.8125

Step-by-step explanation:

Divide 9/3.2

Answer:

52 inches

Step-by-step explanation:

4×13=52 inches

Answer:

The greatest number of arrangements that he can make if every balloon is used is 8.

Step-by-step explanation:

The greatest number of arrangements will be the greatest common factor between 24 and 32.

GCF of 24 and 32:

We keep factoring both numbers by prime factors, while they can both be divided by the same number. So

24 - 32|2

12 - 16|2

6 - 8|2

3 - 4

There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.

This means that the greatest number of arrangements that he can make if every balloon is used is 8.

Answer:

57 miles

Step-by-step explanation:

342÷6= 57

I hope this helped you out, if it did please mark my answer as brainliest. I will be so grateful.

Answer:

17n=-4 ÷17

n=-0.235

Step-by-step explanation:

prove me wrong

Answer:

The answer would be C

Step-by-step explanation:

The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.

Answer:

c

Step-by-step explanation:

I just know because I worked it out on paper

Answer:

YES IT IS RIGHT.......!

Answer:

The table is not a straight line.

Step-by-step explanation:

it is curved

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Answer:

24 bags can be made from three 5 pounds bags.

Step-by-step explanation:

Given that:

Three 5 pound bags are donated.

Total weight of bags = 3*5 = 15 pounds

We know that:

1 pound = 16 ounces

15 pounds = 16*15 = 240 ounces

A bag weighs 10 ounces.

Number of bags = [tex]\frac{240}{10}[/tex]

Number of bags = 24 bags

Hence,

24 bags can be made from three 5 pounds bags.

Answer:

b: 110.43

a:90.34

h:89.99

Step-by-step explanation:

check my image

Answer:97.1

Step-by-step explanation:

Answer:

97.1

Step-by-step explanation:

the 10th is the first decimal place with the second being 100th then 1000th and so on.

so since the number after it is an 8 we round it up to 1

Answer: 3,140 radians per minute.

Step-by-step explanation:

We know that the wheel does 500 revolutions per minute.

This is called the frequency of the wheel, and this is written as:

f = 500 rev/min = 500 RPM

The angular speed (or Angular velocity) is written as

ω = 2*pi*f

And this quantity is in radians/unit of time.

where pi = 3.14

then:

ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min

This means that the angular velocity  (or angular speed) is 3,140 radians per minute.

Answer:

The answer is 52.36

Step-by-step explanation:

got it right on edge ;)

Answer:

The larger number = 116

Step-by-step explanation:

Let the smaller number = x

Given that one number is 78 more than  another, so

The larger number = x+78

Given that if we add 12 to the  smaller number, the result is 50, so

[tex]x+12=50[/tex]

subtract 12 from both sides

[tex]x+12-12=50-12[/tex]

Simplify

[tex]x=38[/tex]

Therefore,

Thus, the larger number = 116