Sketch the graph of y= (x-3)2 - 25, then select the graph that corresponds
to your sketch.

Sketch The Graph Of Y= (x-3)2 - 25, Then Select The Graph That Correspondsto Your Sketch.

Answers

Answer 1

The graph of the given quadratic equation is graph C.

How to sketch the quadratic equation?

Remember that for a quadratic equation with a vertex (h, k), the vertex form is given by:

[tex]y = a*(x - h)^2 + k[/tex]

Where a is the leading coefficient, in this case we have a = 1.

Here we have:

[tex]y = (x - 3)^2 - 25[/tex]

So the vertex is at (3, -25).

From that function we can also get the y-intercept, that is given by evaluating the function in x = 0, so we get:

[tex]y = (-3)^2 - 25 = -16[/tex]

So this function passes through (3, -25) and (0, -16). The sketch can be seen below.

Notice that from the given options only the third graph intercepts the y-axis on the negative region, so from that, we conclude that the third graph is the correct option.

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Sketch The Graph Of Y= (x-3)2 - 25, Then Select The Graph That Correspondsto Your Sketch.

Related Questions

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.4, with a standard deviation of 2.3.
(a) What response represents the 86th percentile? (Round to two decimal places as needed).
​(b) What response represents the 55th ​percentile? (Round to two decimal places as needed).
​(c) What response represents the first ​quartile? (Round to two decimal places as needed).

Answers

The response that represents the 86th percentile is 7.884

The response that represents the 55th percentile is 5.69

The response that represents the first percentile 3.85

How to solve for the 86th percentile

mean = 5.4

sd = 2.3

p(X>x) = 0.86

find the value of z using the NORMSINV function in excel with a probability of 0.86

z = 1.080

x = mean + sd*z

= 5.4 + 2.3 * 1.080

= 7.88

How  to solve for the 55th percentile

mean = 5.4

sd = 2.3

p(X>x) = 0.55

find the value of z using the NORMSINV function in excel with a probability of 0.55

z = 0.1257

x = mean + sd*z

= 5.4 + 2.3 * 0.1257

= 5.69

c. The first quartile is 25%

z = -0.6745

5.4 + 2.3 * -0.6745

= 5.4-1.551

= 3.85

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What method can be used?

Answers

Answer:

'''

Step-by-step explanation:

i need help with the area only for 7 8 and 9

Answers

We will get the areas of each one of the given triangles:

7) A = 12.69 mm²

8) A = 19.21 in²

9) A = 16.81 yd²

How to get the area of the given triangles?

7) First, we have an equilateral triangle, where all the sides measure 5.4mm

For an equilateral triangle of side length S, the area is:

[tex]A = \frac{\sqrt{3} }{4}S^2[/tex]

In this case, S = 5.4 mm, replacing we get:

[tex]A = \frac{\sqrt{3} }{4}(5.4mm)^2 = 12.62 mm^2[/tex]

8) Now we have two equal sides and one different. The general area of a triangle of base B and height H is:

A = B*H/2.

In this case, the base measures 3.4 in.

To get the height, let's divide the triangle into two right triangles, such that one cathetus is 3.4in/2 = 1.7 in.

The hypotenuse measures 5.9 in

And the other cathetus is the height of the triangle.

Then, by using the Pythagorean theorem, we see that the height is:

[tex]H = \sqrt{(5.9 in)^2 - (1.7in)^2} = 5.65 in[/tex]

Then the area of this triangle is:

[tex]A = (3.4 in)*(5.65 in)/2 = 19.21 in^2[/tex]

9) Here the base measures 8.2 yds, and the height 4.1 yds, so the area is just:

[tex]A = (4.1 yd)*(8.2 yd)/2 = 16.81 yd^2[/tex]

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how do we solve this I need a quick answer please :)

Answers

Sorry don't no the answer

sorry if I kwon the answer

I telling u the answer

Answer: D ; 1,230

Explanation: Key word, boundary. Meaning its perimeter of the field. Find the perimeter then multiply by 3. inches

Factorize the following perfectly:
1) 9x^4-16y^439
2) 64x^4+y^4

Answers

Answer:

neither can be factored any further but if it is (9x^4) - (16y^4) it can be factored down to ((3x^2)+(4y^2)) ((3x^2)+(4y^2))

Step-by-step explanation:


The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The width of the page is ___ inches.

Answers

.✎let's answer it :3

question

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.

answer 1.24 inches

hope it helps

correct me if I am wrong

by #galadohannadivine29

PLS HELP NEED THIS ASAP

Answers

The probability that the dog that's selected will weigh less than 30 pounds will be 55%.

How to calculate probability?

From the information given, it was stated that 45% of the dogs weigh more than 30 pounds. Therefore, the probability that the dog that's selected will weigh less than 30 pounds will be:

= 1 - 45%

= 55%

The probability that it weighs more than 30 pound given that it has long fur will be 27%.

The events are independent since the occurence of one doesn't affect the other one.

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Give the prime factorization of 28.

Answers

2x2x7 is the answer you want

Need help with the question

Answers

Answer:

y = 3

Step-by-step explanation:

given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 57 when x = 19 , then

57 = 19k ( divide both sides by 19 )

3 = k

y = 3x ← equation of variation

when x = 1 , then

y = 3 × 1 = 3


how do u turn decimals into fractions

Answers

Answer:

place the decimal number over its place value

Step-by-step explanation:

For example in 0.4 the four is in the tenths place, so we place 4 over 10 like 4/10

Answer:

Step-by-step explanation:

Decimal to fraction: Write the decimal number with denominator 1Now , multiply the numerator and the denominator by 10 for every number after the decimal point.Simplify

Example:

   4.52

[tex]4.52 =\dfrac{4.52}{1}[/tex]

In 4.52, there are two decimal places. So multiply the numerator and denominator by 100

[tex]\dfrac{4.52*100}{1*100}=\dfrac{452}{100}=\dfrac{452 \div 4}{100 \div 4}=\dfrac{113}{25}[/tex]

A brand of cereal had 1.2 milligrams of iron per serving. Then they changed their recipe so they had 1.8 mg of iron per serving.

Answers

Using it's concept, it is found that the percent increase in the amount of iron per serving was of 50%.

What is the percentage increase of a value?

It is given by the increase divided by the initial value, and subtracted by 100%.

In this problem:

The initial value is of 1.2 mg.The increase was of 1.8 mg - 1.2 mg = 0.6 mg.

Hence the percent increase is given by:

P = 0.6/1.2 x 100% = 50%.

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1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth

a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.

b). if X = 2 m, find the actual dimensions of the carpet.

c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?​​​

Answers

Answer:

a) Length= (x+2) and breadth=(x-1) b) 4 m^2 c) R1000

Answer:

answers in photo / +explanation

Step-by-step explanation:

a)

length: x+2

width/breadth: x-1

b)

length: 4m

width/breadth: 1m

area: 4m²

c)

R1000

Y’all pls help I’m gunna cry

Answers

Median = 59
First Quartile = 57
Third Quartile = 62

Which of the expressions are equivalent to the one below? (5x1)-7

Answers

Answer:

-2

Step-by-step explanation:

[tex](5 \times 1) - 7 \\ 5 - 7 \\ - 2[/tex]

the diagram is not drawn to scale!!
pls​

Answers

Answer:

135°

Step-by-step explanation:

That triangle in the corner is an right angle isosceles triangle as that line the midpoint of both sides :

the base angle of this triangle (x) will be :

180 = 90 + 2x

90 = 2x

x= 45

Angles on a straight line add up to 180. So to work out a :

180 = 45 + a

135 = a

Hope this helped and brainliest please

These tables represent a quadratic function with a vertex at (6, 8). Which is the average rate of change for the interval from x = 13 to x = 14?

Answers

The average rate of a function is 81 if a quadratic function with a vertex at (6, 8).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Quadratic function with a vertex at (6, 8).

It is required to find the average rate of the function:

Here the data table is not given, so we are assuming the value of a function:

At x = 13 is 196

f(13) = 144

At x = 14 is 225

f(14) = 225

The average rate of a function:

= [f(14) - f(13)]/(14 - 13)

= [225 - 144]/(1)

= 81

Thus, the average rate of a function is 81 if a quadratic function with a vertex at (6, 8).

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here is the histogram of a data distribution. All class widths are 1.
what is the median of the distribution?

Answers

The median of the data is 5 if the all class widths are 1, option (C) is correct.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

In the histogram, 15 data values are given:

1, 2, 2, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 9

The mid-value is 5 which is on the 8th place

Thus, the median of the data is 5 if the all class widths are 1, option (C) is correct.

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The top four teams in a local tournament move onto the playoffs. if 7 teams enter the tournament how many different
combination of teams can make it to the playoffs?

Answers

Using the combination formula, it is found that 35 different combination of teams can make it to the playoffs.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 students are taken from a set of 7, hence the number of combinations is given by:

[tex]C_{7,4} = \frac{7!}{4!3!} = 35[/tex]

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Given that the measure of ∠x is 66°, and the measure of ∠y is 66°, find the measure of ∠z

Answers

Answer:

48

Step-by-step explanation:

66*2=132

180-132=48

Hope this helps!

If not, I am sorry.

13 - r < 82




PLA I NEED THIS

Answers

Answer:

r > -69

Step-by-step explanation:

13 - r < 82

subtract 13 from both sides

13 - r - 13 < 82 - 13

- r < 69

to flip the inequality sign, multiply both side by -1 to make r positive:

- r (-1) < 69 (-1)

r > -69

        [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

    13-r<82

      [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

   First of all, we need to isolate r (get r by itself). What I Mean by that is

       We need to get r by itself on one side of the inequality.

      So it should look something like this:-

     r<___

So r is all by itself.

How will we get r by itself? Well, First of all, we need to subtract 13 on both sides:-

[tex]\longmapsto\bf{-r < 82-13[/tex]

Simplifying,

[tex]\longmapsto\bf{-r < 69}[/tex]

Now, is r by itself? Nopes, There's also a minus sign next to it , which indicates that r is multiplied by -1.

So we do the opposite operation and divide both sides by -1:-

(watch what happens)

[tex]\longmapsto\bf{r > -69}[/tex]

The inequality sign changed from "less than" to "greater than".

This happened because we divided by a negative number on both sides.

Good luck with your studies. [tex]\ddot\smile[/tex]

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

Describe how you would simplify the given expression.

(20x^5y^2/5x^-3y^7)^-3

Answers

Answer:

hope you can understand

what types of angles are in these quadrilaterals iready level d

Answers

Based on the quadrilaterals given, the types of angles that we see are Acute and Obtuse.

Which angles are shown in these quadrilaterals?

Acute angles are those that are less than 90° and these are shown in the trapezium quadrilateral.

Obtuse angles are higher than 90° and so are drawn outwards as seen in the parallelogram.

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!!!!! determine the function being differentiated, and the number at which its derivative is being evaluated. Where possible, evaluate the limits using differentiation.

Answers

Recall that the derivative of a function f(x) at a point x = c is given by

[tex]\displaystyle f'(c) = \lim_{x\to c} \frac{f(x) - f(c)}{x - c}[/tex]

By substituting h = x - c, we have the equivalent expression

[tex]\displaystyle f'(c) = \lim_{h\to0} \frac{f(c+h) - f(c)}h[/tex]

since if x approaches c, then h = x - c approaches c - c = 0.

The two given limits strongly resemble what we have here, so it's just a matter of identifying the f(x) and c.

For the first limit,

[tex]\displaystyle \lim_{h\to0} \frac{\sin\left(\frac\pi3 + h\right) - \frac{\sqrt3}2}h[/tex]

recall that sin(π/3) = √3/2. Then c = π/3 and f(x) = sin(x), and the limit is equal to the derivative of sin(x) at x = π/3. We have

[tex](\sin(x))' = \cos(x)[/tex]

and cos(π/3) = 1/2.

For the second limit,

[tex]\displaystyle \lim_{a\to0} \frac{e^{2a} - 1}a[/tex]

we observe that e²ˣ = 1 if x = 0. So this limit is the derivative of e²ˣ at x = 0. We have

[tex]\left(e^{2x}\right)' = e^{2x} (2x)' = 2e^{2x}[/tex]

and 2e⁰ = 2.

Natalie wants to use a sheet of fiberboard 30 inches long to create a skateboard ramp with a 28 angle of elevation from the ground

Answers

Answer:

You should raise one side 14 inches

Step-by-step explanation:

I used a right angle triangle calculater at this sight

https://www.calculator.net/right-triangle-calculator.html

2. Draw a diagram to show that 5(x + 2) = 5x + 10.

Answers

Step-by-step explanation:

5(x+2)
1. Distributive property
2. Multiply
(5*x) + (5*2)
(5x)+(10)
Remove parenthesis

5x+10 ;

Therefore, 5(x+2) = 5x+10

Hopefully this helps! :3

Solve the system of equations.​

Answers

Answer:

The answer is the third bullet. (number 3)

How many lines of symmetry does this figure have?
1
2
4
3

Answers

The number of lines of symmetry for the given figure will be 4.

What is symmetry?

Symmetry is described in geometry as a balanced and proportionate likeness between two halves of an object.

As we know that similarity is defined as when the image is divided into two halves and one portion is completely overlapped by the other.

So in the given figure, the figure can be divided into two halves by drawing four lines along with the arrows and along with the corners. In all cases, the two halves overlap with the other.

Therefore the number of lines of symmetry for the given figure will be 4.

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Question
What expression represents the area of the square?

Answers

(3x-2)^2

squares area is 2 times its side length, since all the sides are the same. if the side length is 3x-2, take its second power

(3x-2)^2 or (3x-2)

The area of a square is the product of the length of each side with itself. That is, Area A = s x s where s is the length of each side of the square.

-8x - 5y = 12
8x - y = 12

Answers

It’s the same thing A equals -12+5y/8. B equals 12+5y/8. It’s the same thing except for the negative one the answer is negative and for the positive one the answer is positive

Marcella bought a 300 pack of candied chocolates. she randomly picked out 30 candies. the results
were 8 green, 11 blue, 6 yellow, and 5 brown. how many of each color do you think is in the bag

Answers

Answer:

there are 75 colors of each candy

Step-by-step explanation:

300÷4=75

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