Liz earns a salary of $2,300 per month, plus a commission of 3% of her sales. She wants to earn at least $2,500 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.

Answer:

See below

Step-by-step explanation:

The vertex form of a parabola is  y = a(x - h)^2 + k

If the leading coefficient is positive, the parabola opens upward, and (h, k) represents the vertex, or turning point.

1a. The leading coefficient is 4, which is positive, meaning the parabola opens upwards. From the vertex form, we can say the vertex(turning point) is (2, 7).

1b. The leading coefficient is -3, which is negative, meaning the parabola opens downwards. From the vertex form, we can say the vertex(turning point) is (-6, 4).

1c. The leading coefficient is -1, which is negative, meaning the parabola opens downwards. From the vertex form, we can say the vertex(turning point) is (-4, -3).

To write the vertex form of a parabola, we need to complete the square. A perfect square trinomial is in the form a^2 + 2ab + b^2. In these cases we are already given a^2 and 2ab.

2a. We can say x^2 corresponds to a^2 because it is a square and 2ab corresponds to 6x. From this, we can say a = x. Now, we can plug that in:

2ab = 6x

2(x)b = 6x

b = 3

Therefore, the last term b^2, is 3^2 or 9. We can add 9 and subtract nine to keep the equation equivalent:

y = x^2 + 6x + 9 - 9 - 2

Now, we can factor the square into (a + b)^2 and simplify:

y = (x + 3)^2 - 11

From this form, the vertex(turning point) will be (-3, -11). Since the leading coefficient is 1, which is positive, the parabola opens upwards, meaning the turning point is a minimum.

2b. We can say x^2 corresponds to a^2 because it is a square and 2ab corresponds to -2x. From this, we can say a = x. Now, we can plug that in:

2ab = -2x

2(x)b = -2x

b = -1

Therefore, the last term b^2, is (-1)^2 or 1. We can add 1 and subtract nine to keep the equation equivalent:

y = x^2 - 2x + 1 - 1 + 11

Now, we can factor the square into (a + b)^2 and simplify:

y = (x - 1)^2 + 10

From this form, the vertex(turning point) will be (1, 10). Since the leading coefficient is 1, which is positive, the parabola opens upwards, meaning the turning point is a minimum.

Answer:

consistent system, independent system, independent system, inconsistent system

Step-by-step explanation:

1) A system of linear equation with at least one solution is a consistent system.

2) A system of linear equation with exactly one solution that is called independent system

3) A system of linear equations with an infinite number of solution is a dependent system

4) A system of linear equations with no solution is a inconsistent system

Answer: undefined

Step-by-step explanation:

Using the slope formula: (y^2 - y^1)/(x^2 - x^1), we can fill in the points:

(12 - 16)/(-13 - - 13) = -4/0

We can’t have a denominator of zero, so this is undefined.

Answer:

35010

.08190

- 137000

- .00060041

Step-by-step explanation:

positive exponents add zeros to end and move decimal place to right the amount of the exponent.

negative exponents add zeros to begininng and move decimal to the left.

Answer:

LHS ≠ RHS

Step-by-step explanation:

[tex]LHS =\\\\=(x+1)^2 (x + 2) \\\\=(x^2 + 2x + 1)(x+2)\\\\=x(x^2 + 2x + 1) + 2(x^2 + 2x + 1) \\\\=(x^3 + 2x^2 + x ) + ( 2x^2 + 4x + 2) \\\\=x^3 + 2x^2 + x + 2x^2 + 4x + 2 \\\\=x^3 + 4x^2 + 5x + 2[/tex]

The value will be 64 when the number 8960 is divided by 140.

A procedure of dividing anything into equal halves is called division. It is one of the four fundamental operations in math. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given numbers are 8960 and 140. To calculate the quotient divide the number 8960 by 140.

The given number can be divided as below:-

140 ) 8960 ( 64

         -840    

___________

        560

       -560

___________

        000

Therefore, the value will be 64 when the number 8960 is divided by 140.

To know more about division follow

https://brainly.com/question/25289437

#SPJ2

Answer:

Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

Step-by-step explanation:

I think its 2

Answer:

m = 11

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] (m + 4) = 6 ← multiply both sides by 5 to clear the fraction

2(m + 4) = 30 ( divide both sides by 2 )

m + 4 = 15 ( subtract 4 from both sides )

m = 11

This method avoids having to deal with awkward fractions

Answer:

27

Step-by-step explanation:

First find the tax

25 *8%

25*.08

2

Add the tax to the cost of the book

25+2

27

Answer:

simple answer would be 27 dollars

Step-by-step explanation:

the more complicated answer would be:

25 times 0.08 on the calculator (or in your head) would be 2

25 added by 2 would equal 27 dollars

the first one is finding the sales tax total

the second one is subtracting the total cost of the book by the sales tax total to get 27 dollars or the NEW total

Answer:

104

Step-by-step explanation:

18 for the bottom section, 35 for the middle section, and 51 for the top triangle.

x^2 + 6x + 9

x^2 + 3x + 3x + 9

x ( x + 3 ) + 3 ( x + 3 )

( x + 3 ) ( x + 3 )

( x + 3 ) ^2

Answer:

Mass = 1.3 Kilograms.

Step-by-step explanation:

Given the following data;

Force = 55.1 N

Acceleration = 41.6 m/s²

To find the mass of the stone in kg;

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.

Mathematically, it is given by the formula;

Force = mass * acceleration

Substituting into the formula, we have;

55.1 = mass * 41.6

[tex] Mass = \frac {55.1}{41.6} [/tex]

Mass = 1.3 Kilograms

Answer:

D

Step-by-step explanation:

Imagine this as a right angle triangle, where the diagonal length is the hypotenuse, the length is one side, and the width is the other.

We can therefore use Pythagoras' Theorem (or Pythagorean Theorem) to solve. The formula for this is a²+b²=c², where c is the hypotenuse, and a and b are the sides.

We can input the values we know to this formula to get the width. This gives 110²+b²=133.14² or 12100+b²=17 726.2596.

From there subtracting 12100 from both sides gives b²=5626.2596.

Square rooting b isolates it, leaving b=75.0083969.

Since the value of the diagonal was approximate, this can be assumed the b is 75m.

**This content involves Pythagoras' Theorem/Pythagorean Theorem, which you may wish to revise. I'm always happy to help!

Answer:

Its C 3/2 just did the test

Step-by-step explanation:

The value of the [tex]\lim_{ x \rightarrow 1^-}f(x)[/tex] is ∞, since option (d) DNE.

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The given function is [tex]f(x)=\left\{\begin{array}{l}\frac{x^{3}-1}{x^{2}-1}, \text { for } x < 1 \\\frac{3}{x-1}, \text { for } x \geq 1\end{array}\right[/tex].

We need to evaluate the value of  [tex]\lim_{ x \rightarrow {1^-}}f(x)[/tex].

So [tex]\lim_{ x \rightarrow {1^-}}f(x)=\lim_{ x \rightarrow {1}}(\frac{3}{x-1})[/tex]      

                           [tex]=\frac{3}{1-1}[/tex]        

                          [tex]=\frac{3}{0}[/tex]

                         = ∞

Hence the value of the function is ∞.

Learn more about the function on https://brainly.com/question/12431044

#SPJ2

Answer:

I believe it's   A = 0.75j + 9

Step-by-step explanation:

If x or j is the amount of cups of OJ you sell, and you earn $0.75 per cup.

0.75x

The b = 9 which adds to the total amount of money you have

0.75x+9

A is the total money you earn after you sell j cups.

I hope this helps!

Answer:

7 in

Step-by-step explanation:

Answer:

a = 7 in

Step-by-step explanation:

[tex]Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7[/tex]

Answer: yuh Step-by-step explanation: yuh

Answer:

11/8, 7/4, 8/2

someone reported me

Answer:

Step-by-step explanation:

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

Answer:

18.84 feet.

Step-by-step explanation:

The formula for the circumference of a circle is:

2Pi*radius

The radius would be half the diameter so 3.

2*3.14*3

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{39.63 + 0.30 = 24.45 + 0.80}[/tex]

[tex]\large\textsf{39.63 + 0.30}[/tex]

[tex]= \boxed{\large\textsf{\bf 39.93}}\large\checkmark[/tex]

[tex]\large\textsf{24.45 + 0.80}[/tex]

[tex]=\boxed{\large\textsf{\bf 25.25}}[/tex]

[tex]\large\textsf{\bf 39.93 } \mathsf{\bf \neq }\large\textsf{ \bf 25.25}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf FALSE or NOT TRUE because 39.93 }\mathsf{\neq }\large\textsf{ \bf 25.25}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

16.36 the proof is in the picture

Step-by-step explanation:

Answer:

H0 : μ = 6.2

H1 : μ ≠ 6.2

Step-by-step explanation:

Population mean, μ = 6.2 ppm

The hypothesis :

Null, H0 : = The mean level of Ozone is normally 6.2 ppm ;

The alternative hypothesis is the researcher's claim that the current ozone level is not normal, that is it may be higher or lower than the normal value in ppm

Hence, the hypothesis could be written as :

H0 : μ = 6.2

H1 : μ ≠ 6.2

Answer:

8

Step-by-step explanation:

Answer:

[tex]{ \tt{GH =GI - HI }} \\ = 9 - 1 \\ GH = 8[/tex]

Answer:

0

Step-by-step explanation:

To find the inverse, or [tex]G^{-1}[/tex] , we must switch G(x) and x, and then make G(x) [tex]G^{-1} (x)[/tex] as we are finding the inverse, and G(x) represents the starting equation.

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

The steps used here are that we firt subtracted 1 from both sides, and then divided 3 from both sides.

To find [tex]G^{-1} (1)[/tex], we simply plug 1 into x in the inverse function, so our answer is [tex]\frac{1-1}{3} =0[/tex]

Answer:

area is 320

Step-by-step explanation:

you do h_bb/b and the height is 20 ft and the base is 32 ft so you just plug it in

Answer:

225 hahahahahahahhahahahhaha

Hahhahahahaha

The equation in slope-intercept form will be; y = 200- 25x

Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

Thus, we get:

Slope = rise/ run

We have been given that Juanita opens a savings account with $200.

For Each month, she deposits $25 into her account and does not withdraw any money from it.

Therefore, the equation in slope-intercept form of the total amount y in Juanita’s account after x months is,

y = 200- 25x

Here the slope is - 25.

Hence, the equation in slope-intercept form will be; y = 200- 25x

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ2

Step-by-step explanation:

The area of a circle = pi r^2

d = 2r Divide by 2 to get the radius

r = d/2

The diameter = 2.8 cm

r = d/2

r = 2.8/2

r = 1.4

The area of the circle = pi * r^1

The area of the circle = 3.14 * 1.4^2

The area of the circle = 6.1544

But you are working with a semic circle

The area of a semicircle is 1/2 that of a circle

Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded