Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the stables and wonders how many weeks it will take to earn enough for a pony of her own. How many weeks will Sadie have to work to earn enough to buy the pony?
A) 8 weeks
B) 10 weeks
C) 11 weeks
D) 12 weeks

Answer:

Step-by-step explanation:

The first one is Crosses the axis at (1, 0). The second one is Crosses the axis at (−4, 0). The third one is touching the axis at (−5, 0).

To graph the function g(x) = (x - 5)² - 9, shift the graph of f(x) = x²

5 units right and 9 units down

Step-by-step explanation:

Let us revise the translation

1. If the function f(x) translated horizontally to the right by h units, then

   its image is g(x) = f(x - h)

2. If the function f(x) translated horizontally to the left by h units, then

   its image is g(x) = f(x + h)

3. If the function f(x) translated vertically up by k units, then its image

   is g(x) = f(x) + k

4. If the function f(x) translated vertically down by k units, then its image

   is g(x) = f(x) - k

∵ f(x) = x²

∵ g(x) = (x - 5)² - 9

∴ g(x) = f(x - 5)² - 9

∴ h = 5 ⇒ 5 units right

∴ k = -9 ⇒ 9 units down

∴ f(x) translated 5 units to the right

∴ f(x) translated 9 units down

To graph the function g(x) = (x - 5)² - 9, shift the graph of f(x) = x²

5 units right and 9 units down

The graph of g(x) = -1/5(x + 5)² - 2 is plotted making use of the points it passes.

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

The given function is g(x) = -1/5(x + 5)² - 2.

In order to plot its graph, consider following values of x and y as follows,

For x = 0,

g(x) = -1/5(0 + 5)² - 2

      = -7

For x = -5,

g(x) = -1/5(-5 + 5)² - 2

      = -2

Now as the given function has its degree as 2, it is parabolic.

Thus, its graph can be drawn as follows,

Hence, the graph of the given function is drawn clearly.

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B. 60 m is the height of the triangle

Answer:

B. 60m

Step-by-step explanation:

i took the test

Answer:

C. x + 12 > 2

Step-by-step explanation:

Given:

Twelve more than x is greater than two

Required:

Translate to symbols

Solution:

Twelve more than x can be represented as "x + 12"

Greater than is represented by the symbol ">"

Two represented as "2"

Therefore, the translation to symbols would be:

x + 12 > 2

Answer:

2 Books

Step-by-step explanation:

Because more kids checked out 2 books than any other number

Answer:

Supplementary!

Answer:

Complementary I believe.

correct me if I’m wrong

if not adjacent

Answer:

Poem:

Function is binary relation of two sets

have a single output but

not Function is having no function

have multiple output.

Range is a function refer to two closely concepts

but

Domain is a set of possible input values with concepts.

All the function are relation but

not all relation are function.

Relation is a collection of ordered pair but

imaginary is a collection of complex number written in imaginary unit.

Vertical line is parallel to y-axis but

horizontal line is parallel to x-axis.

Answer:

their are 2

Step-by-step explanation:

Answer:

216 ft

Step-by-step explanation:

18 x 12 = 216 so ya ezzzzzz :)))))

Answer:

24

Step-by-step explanation:

Highest 33

lowest 9

range = 33 - 9 = 24

What is the range of fat grams for the five sandwiches?

⇒ Range of fat grams for the five sandwiches = 33 - 9

Calculating further, We get,

⇒ Range of fat grams for the five sandwiches = 24 g

Since, 24 is also given as option E. 24. Therefore, option E. 24 is the correct answer.

Answer:

After a quick online search, I've found that the complete question is:

a) Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs  the same amount, complete the table of values representing the cost of gummy candy in pounds.

Then we want to graph the points, and then comes our question:

c) On the same day, Parker’s friend, Peggy, was charged $5 for 1 1/2 lb. of gummy candy. Explain in terms of the graph why this must be a mistake.

So first, we know that this is a proportional relationship (each pound of candy costs the same)

And 0 pounds of candy should cost $0.

Then the relation between y (price) and x (number of lb) is:

y = k*lb

where k is the cost per lb.

Knowing that Parker paid $4.50 for three pounds of gummy candy, the relation is:

$4.50 = k*3lb

($4.50/3lb) = k = $1.50/lb

Then the linear relation is:

y = ($1.50/lb)*x

Now, in this question we can see that Parker's friend was charged $5 for ( 1 and 1/2) lb of candy.

If we replace those values in the equation, we get:

$5 = ($1.50/lb)*(1 + 1/2)lb = $2.25

This equation is false, then, in terms of the graph, the point ( (1 and 1/2)lb, $5) does not belong on the graph that you found in the previous points.

18. 23 units

19. x = 1

Answer:

37

Step-by-step explanation:

triangles' inside angles always equal 180. so 100+43=143. 180-143=37

Answer:

1/9

Step-by-step explanation:

2x3=6

6x9=54

54 divided by 6 = 9

Therefore 6 is 1/9 of 54

Hope this helps.

[tex]\sqrt{4^{2}+7^{2}}=\sqrt{16+49}=\boxed{\sqrt{65}}[/tex]

Answer:

x is 12

Step-by-step explanation:

7.5÷5=1.5

1.5×8=12

Answer:

i think its 2m²=54, not sure thought

Answer:

In standard form,

5004300. Five Millon four thousand and three hundred.

The standard form of 5004300 is [tex]50.043[/tex] × [tex]10^{5}[/tex].

The standard form of a number is a way of writing the numbers in a form that follows a certain rule.

According to the given question.

We have a number 5004300.

The standard form of 5004300 is given by

[tex]50.043[/tex] × [tex]10^{5}[/tex]

Hence, the standard form of 5004300 is [tex]50.043[/tex] × [tex]10^{5}[/tex].

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Answer:

144+49=x²

193. =x²

X =√193

x. =+-13.89

Answer:

100-.idrk

Step-by-step explanation:

im the best

Answer:

56m

Step-by-step explanation:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier (0,0)(0,0)(5,0)\qbezier (0,0)(0,0)(0,3)\qbezier (0,3)(0,3)(5,3)\qbezier (5,3)(5,3)(5,0)\qbezier (0,3)(5,0)(5,0)\qbezier (0,0)(0,0)(5,3)\put (-0.4,-0.2){\sf D}\put (-0.2,3.1){\sf A}\put (5.2,3.1){\sf B}\put (5.2,-0.2){\sf C}\put (2.4,1){\sf O}\put (2,-0.4){\bf 50\:m}\put (-1,1.5){\sf 25\:m}\end {picture}[/tex]

Length=50m

Breadth=25m

Diagonal be x

[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf 25m}\put(2.8,.3){\large\bf 50m}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf $\Theta$}\end{picture}[/tex]

So

➝x^2=50^2+25^2

➝x=√(50)^2+(25)^2

➝x=√2500+625

➝x=√3125

➝x=55.9m

➝x=56m(approx)

Answer:

(Shown below)

Step-by-step explanation:

Here are a few formulas for shapes:

Here a few formulas for functions, if you need it:

Hope this helps!

Answer: 169/225 (0.75 2d.p)

Step-by-step explanation:

c²=a²+b² as C is Hypotenuse (largest side)

c²=(1/3)² + (4/5)²

c²= 1/9 + 16/25

c=169/225