A wool suit, discounted by 75% for a clearance sale, has a price tag of $165. What was the suit's original price?

let's put h(x) in vertex form, and then let's see if we can get f(x) from there.

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{vertex}{\stackrel{h}{0}~~,~~\stackrel{k}{-3}}\qquad h(x)=a(x-0)^2-3 \\\\[-0.35em] ~\dotfill[/tex]

[tex]h(x+2)=a[(x+2)-0]^2-3\implies h(x+2)=\underline{a(x+2)^2-3} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} \underline{h(x+2)}-5\implies [a(x+2)^2-3]~~ - ~~5\implies &\boxed{a(x+2)^2-8=f(x)} \\\\ &a[x-\stackrel{h}{(-2)}]^2\stackrel{k}{-8}=f(x)\\\\ &\stackrel{vertex}{-2~~,~~-8} \end{array}[/tex]

Answer:

1. 4y

2. 16x

3. 8m

4. 4x

5. 14ab

6. 3^3cd          ^ stands for to the power of

7. 5 (x+7)

8. 2(4x-7)

9. 15(0.688x-1)

10. 18x(4-y)

11. cannot be factored.

12. 1/3 (x-1)

13. 1/2 (x+1)

14. Sorry I dont Know

15. Sorry I dont Know

Step-by-step explanation: Atleast I solved all and you only have 2 more questions to do Mark Me Brainliest Please ! I Spent A long Time On This


~"Gamer"~

Hello!

10 km in 2.5h.

2,5h = 150mn

150mn -> 10km

1 mn -> 10/150

60mn -> (10*60)/150

=>4km/h

Jason ran 7.5 km in 2h.

7,5 /2 =3,75

=> 3,75km/h

Olga ran 9.5 km in 2.25h.

2,25h = 120 + 0,25 * 60 =>135mn

135mn -> 9,5km

1mn -> 9,5/ 135

60mn -> (9,5*60)/ 135 =>4,22km/h

Who had the fastest average speed.: Olga

Answer:

Under 800 square feet of carpet to be cleaned: $0.53 per square foot

800 - 1,500 square feet: $0.49 per square foot

Over 1,500 square feet: $0.42 per square foot

Stairs (standard size): $4.16 each stair

Answer:

0.89

Step-by-step explanation:

2.24/3 = 0.89

She paid 89 cents per pound of tomatoes.

Have a great day!

Please rate and mark brainliest!

Answer:

a<5/2

Step-by-step explanation:

you first subtract 3 to both sides. then you divide both sides by -5 and get a>5/2. then you flip the sign because you divided by a negative.

Answer:

Step-by-step explanation:

All numbers in the sequence are odd integers in decreasing order, -351 is also an odd integer, so the answer is YES.

Answer:

C

Step-by-step explanation:

12^2+5^2=c^2

144+25=c^2

169=c^2

Square root 169 and you get 13

Answer:

Step-by-step explanation:

So there are two types of variables we need to focus on, the first is the dependent variable, the second is the independent variable ( which is the one in question).  You asked about it in relation to mathematics, although even across the board, in science they both really mean the same thing. Here's an example, say you are taking a test, and the rubric for grading the test is 5 points (p) for every question (q) answered correctly. So given that information you can conclude that (p) is equal to 5 x the amount of questions you got right (p = 5q). The amount of points in this equation relies on how many questions you get right, you can't logically say that question (q) is equal to 5 points (p), because the questions don't depend on the points, the points depend on the amount of questions you get right. So that means since the points (p) depend on the # of questions you answered correctly, it is the dependent variable, there for by process of elimination you're independent variable is (q) since they don't rely on the points, the points rely on the questions. It all boils down to how well you can recognize this, and how complicated your question is, but hopefully this provided some insight.

The number of different sets of coins that she can have is; Two sets which are;  (0, 7, 4, 2) or (1, 3, 7, 2)

Let the numbers of coins be;

We have:

Q + D + N + P = 13

We know that;

25 quarters make 1 cent

10 dimes makes one cent

5 nickels make one cent

1 penny makes one cent

Thus;

25Q + 10D + 5N + P = 92

P will have to be 2 because the others will give a value with the unit digit as 0. Thus;

Q + D + N = 11  ----(1)

25Q + 10D + 5N + 2 = 92

25Q + 10D + 5N = 90

Divide through by 5 to get;

5Q + 2D + N = 18      (2)

Subtract eq (1) from eq (2) to get;

4Q + D = 7

Let us put D = 7 and Q = 0, and so from eq (1), N = 4

The set here is now; (Q, D, N, P) = (0, 7, 4, 2)

Let us put D = 3, Q = 1, and from eq (1), N = 7

The set here is now; (Q, D, N, P) = (1, 3, 7, 2)

If D = 6, 5, 4, 2, 1, 0, then Q is not an integer, these can be ignored.

Read more about combination of coins at; https://brainly.com/question/6810598

Answer:

Here is your answer

Step-by-step explanation:

Answer:24

Step-by-step exfind out what 2 times blank eguals 48

Step-by-step explanation:

a parallel line has the same slope (inclination).

the slope is always the factor of x in the line equation, which is 1/2.

the standard form of a line is

y = ax + b

we know a = 1/2.

to get b we use the given point :

-5 = 1/2 × -6 + b

-5 = -3 + b

b = -2

so our line equation is

y = (1/2)x - 2

but if your teacher understands "standard form" as "point-slope" form (I don't, but others do), then we need to use

y - y1 = a(x - x1)

where (x1, y1) is a point on the line.

and that form would then be in our case

y - -5 = (1/2)(x - -6)

y + 5 = (1/2)(x + 6)

Answer:

To prove V is a subspace of R, you must show:

(1) It is not empty

(2) Adding vectors returns real numbers

(3) Multiplying by scalars return real numbers

2 & 3 follow the conditions that x,y must be real.

===

(1):

0 = 0 + 0 , therefor V cannot be an empty set. Really thats it.

===

(2)

Let u=(u1, u2 , 2u1-3u2)

Let v *lowercase =(v1, v2, 2v1-3v2)

Great, now lets add them. This isn't intuitive unless you finish reading it all.

u+v = ( u1 + v1 , u2 + v2 , 2u1 - 3u2 + 2v1 - 3u2 )

--> u + v = [ (u1+v1), (u2+v2) , (2u1 + 2v1) + (-3u2 - 3v2) ] (got like terms kinda)

====> All must equal (x,y, 2x-3y)

... which means x=u1+v1 & y=u2+v2 (you compare u+v to V for this)

===

(3)

Let c be a real number.

C(u) = (Cu1, Cu2, C2u1 - C3u2)

====> Must equal (x,y, 2x-3y)

... which means Cu1 = x & Cu2 = y

Cu is in V (because x,y are)

-> V is a subspace of R3.

We will conclude that:

Let's study the two functions.

The exponential function is given by:

f(x) = A*e^x

You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:

y > 0.

For the logarithmic function we have:

g(x) = A*ln(x).

As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

[tex]\lim_{x \to \infty} ln(x) = \infty \\\\ \lim_{x \to0} ln(x) = -\infty[/tex]

So the range of the logarithmic function is the set of all real numbers.

If you want to learn more about domains and ranges, you can read:

https://brainly.com/question/10197594

Answer:

Both expressions are equivalent to 264 when [tex]\displaystyle t = 9.[/tex]

Step-by-step explanation:

All you are doing is substituting 9 for t:

[tex]\displaystyle 8[4(9) - 3]\:32[9] - 24 \\ \\ 264 = 264[/tex]

I am joyous to assist you at any time.

Answer: Choose the equation of the vertical line passing through the point (-2, 3). A vertical line goes up and down through point (-2, 3), so every point on the line will have the same x coordinate. For example, (-2, 0) and (-2, 1) and (-2, -1) all fall on that vertical line. Therefore, the equation for the line is x = -2 Choose the equation of the horizontal line that passes through the point (-5, 1). A horizontal line goes left and right through point (-5, 1), so every point on the line will have the same y coordinate. For example, (-1, 1) and (0, 1) and (1, 1) all fall on that horizontal line. Therefore, the equation for the line is y = 1.

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The coordinate point is in the format (x, y)

Therefore, the x-value of (3, -10) is 3

So the equation of the vertical line is therefore x = 3

C. 10 years

Here given the average/mean the gaming system can last is 10 years.

Answer:

10yrs

Step-by-step explanation:

And average usually denotes to mean.

So mean is 10years

Answer:

5/8

                 10/8 = 1 2/8 = 1 1/4

                 15/8 = 1 7/8

                 20/8 = 2 4/8 = 2/1/2

Step-by-step explanation:

 DO NOT multiply both the numerator and the denominator by the same value.

Answer:

b and c for future help look up and equivalent calculator

Answer:

Dividing 100 by 456.3 would be 4.563. Lara would need to tell her to look at the zeros, and how many places to move. Dividing by 100 is basically moving the numbers 3 places to the right. Hope this helped ☆

Answer:

its (420) because (listed below)

Step-by-step explanation:

The traingular is pointing down left and 420 and the angle towards down left. Your welcome!

Answer:

25/9 or 2 7/9

Step-by-step explanation:

5-2 2/9

5-20/9

45/9-20/9

25/9

2 7/9

Answer:

25/9 or.. 2 7/9

Step-by-step explanation:

hope this helped!!<3

Answer:

300 loaves

Step-by-step explanation:

the 5 part of the ratio refers to 750 bread rolls , then

750 ÷ 5 = 150 ← value of 1 part of the ratio , so

2 × 150 = 300 ← number of loaves baked

Answer:

83/85

Step-by-step explanation:

85 is being multiplied by something to get to 83

85x = 83

x = 83/85

You cannot simplify this any further because it has no common factors.

-Chetan K

Answer:

See Picture. I made a 100.

Step-by-step explanation:

Weekly- $17253.46

Daily- $17254.01

Continuously- $17254.11

Monthly- $17251.29

Semi-annually- $17237.36

Quarterly- $17245.69

Compound interest is the addition of interest on the interest of the principal amount.

Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

As it is given that the principal amount is $15,000; while the rate of interest is 2.8%, and the amount is invested for a period of 5 years.

A.) When the interest is charged weekly,

As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{52})^{52 \times 5}\\\\A = \$17,253.46[/tex]

B.) When the interest is charged daily,

As we know that there are 365 days in a year, therefore, n = 365, substitute the values,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{365})^{365 \times 5}\\\\A = \$19,554.55[/tex]

C.) When the interest is charged Continuously,

As we know that the formula for continuous compounding is given as,

[tex]A = Pe^{rt}[/tex]

Substitute the values, we will get,

[tex]A = 15000 \times (e^{0.024 \times 5})\\\\A= \$16,912.45[/tex]

D.) When the interest is charged Monthly,

As we know that there are 12 months in a year, therefore, n = 12, substitute the values,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{12})^{12\times 5}\\\\A = \$15211.23[/tex]

E.) When the interest is charged Semi-annually,

As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36[/tex]

F.) When the interest is charged Quarterly,

As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7[/tex]

Learn more about Compound Interest:

https://brainly.com/question/25857212

Answer:

34% more A+ donations because it is the most common type of blood type more than ab