y = x2 – 24
y = x - 12

Answers

Answer 1

Answer:

x = -3, 4

y = -15, 8

Step-by-step explanation:

[tex]x-12=x^2-24\\0 = x^2 -x - 12\\(x +3)(x-4)=0\\x = -3,4[/tex]

[tex]y=(-3)^2-24\\y = 9-24\\y = -15\\or\\y = 4^2 - 24\\y = 16-24\\y=8[/tex]


Related Questions

ME RESULVEN ESTO POR FA
6 -1
-3 -1
9+3
-3. -7
2.8
-5.+3
-10:-5
18: -3
-9 : 9

Answers

Answer:

1) 5

2) -4

3) 12

4) -10

5) 2.8

6)-2

7) 2

8) -6

9) -1

ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangle PDA. PLEASE FIND THE ANSWER QUICKLY I NEED IT RIGHT NOW

Answers

Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.

Given parallelogram ABCD:

AB = CD = 18 cm; BC = AD = 8 cm

∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).

Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:

[tex]\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x} \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm[/tex]

Perimeter of CPQ = CP + CQ + PQ

15 = 6 + 8/3 + PQ

PQ = 15 - (6 + 8/3)

PQ = 6.33

∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).

Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem

[tex]\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19[/tex]

[tex]\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8[/tex]

Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm

PA = AQ + PQ = 19 + 6.33 = 25.33

PD = CD + DP = 18 + 6 = 24

Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm

If the parent function is y = x², explain the transformation(s) that occur to get from
the parent function to y = 3x? – 2

Answers

The parent function is y = x²

If we vertically stretch it by a factor of 3, then we get to y = 3x²

So it's 3 times taller than it used to be. A point like (2,4) moves to (2,12) after applying this vertical stretch. Because it's stretched vertically, it becomes more narrow in the horizontal direction.

If we then shift that down by 2 units, then we arrive at the equation y = 3x²-2

So to summarize, we applied these two transformations:

Vertically stretch by a factor of 3Shift down 2 units

The graph is shown below.

The volume of a cube is 441cm3.
Work out the length of its side rounded to 1 DP.

Answers

Answer:

volume of a cube = 441cm3.

l³=441cm³

l=7.6cm

What is the area of the circle below? Use π = 3.14 to solve. Round your answer to the nearest hundredth.

Answers

Answer:

803.84 ft ²

:)

The area of the circle is given by the equation A = 803.84 feet²

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the area of the circle be represented as A

Now , the equation will be

The radius of the circle r = 16 feet

So , area of the circle = πr²

Substituting the values in the equation , we get

Area of the circle A = π x ( 16 )²

Area of the circle A = π x 256

Area of the circle A = 3.14 x 256

Area of the circle A = 803.84 feet²

Therefore , the value of A is 803.84 feet²

Hence , the area of circle is 803.84 feet²

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X-9 = 23 when X=14
yes
No

Answers

Step-by-step explanation:

x - 9 = 23

(14) - 9 = 5

So the answer is no.

Answer:

No

Step-by-step explanation:

X will be equal to 32

If X is equal to 14 the answer will be 5

c)
Joshua says that 5bc and 4cb are not like terms. Do you agree? Explain your answer.​

Answers

yes they are the same because no matter the sequence of the numbers they always have the same outcome

750 students appeared in an examination. If 24% of them passed in first division, 38% in second, 16% in third and others failed in exam. Find the number of students who have passed in each division and who have failed. ​

Answers

Answer:First division: 180Second division: 285Third division: 120Failed: 165

What is the distance between 4 and 17?

Answers

Answer:

14

Step-by-step explanation:

17 - 4 + 1 = 13 + 1 = 14

Answer:

Step-by-step explanation:

D = distance

[tex]x_{1}[/tex] = 4

[tex]x_{2}[/tex] = 17

No "y" values were given.

The distance formula:

[tex]D=\sqrt{(x_{1} - x_{2} )^{2} +(y_{1} - y_{2} )^{2}}[/tex]

If we insert in the values:

[tex]D = \sqrt{ (4 - 17)^{2} + (0 - 0)^{2}}[/tex]

(0-0)^2 = 0 so we can just remove the last part since it's +0:

[tex]D = \sqrt{(4 - 17)^{2}}[/tex]

4 - 17 is equal to -13:

[tex]D = \sqrt{(-13)^{2}}[/tex]

Since [tex](-a)^{2} = (a)^{2}[/tex], that means that the negative 13 becomes positive

[tex]D = \sqrt{(13)^{2}}[/tex]

Now the square root and the square cancels each other out:

[tex]D = 13[/tex]

Hope I could help you understand (●'◡'●)

If you have any questions, don't be afraid to ask in the comments below!

P.S if you really like this answer, please consider giving it the brainiest... I am one brainiest away from expert rank ╰(*°▽°*)╯

Have a good day!

A shop sells two different bags of rice.

Rice A
500g plus 25% extra free

Rice B
750g plus 1/5 extra free

Which bag gives you more free rice.

Show your working.​

Answers

Answer:  rice a

Step-by-step explanation:

convert 1/5 to a decimal .20 <.25

Bag of rice B gives more rice than bag A as per the percentage.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

Given, A shop sells two different bags of rice. Rice A has 500g plus 25% extra free and Rice B has750g plus 1/5 extra free.

For calculating the free amount of rice,

For Bag A

Frre amount of rice  = 500* 25%  = 500 *25/ 100 = 125g

For Bag B

Frre amount of rice  = 750 * 1/5 = 150g

Therefore, According to the percentage, bag B of rice contains more rice than bag A.

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Need answer PLS will give brainiest

Answers

Answer:

n=-6

Step-by-step explanation:

Find the surface area of each prism. Show your work for full credit!

Answers

Answer:

1   15 x 9 x 14 = 1890

2   10 x 17 x 24 x 21 =85680

Step-by-step explanation:

Kaylin buys a greeting card for $3.79. She then buys 4 postcards that all cost the same amount. The total cost is $5.11. How much is each postcard? SHOW YOUR WORK.

Answers

Answer:

0.33

Step-by-step explanation:

5.11-3.79=1.32

1.32÷4=0.33

After solving the equation, the price of each postcard will be equal to $0.33.

What is arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per information in the question,

Price of greeting card = $3.79

Total cost of greeting card as well as greeting card is $5.11

Let the price of each postcard is x.

Then, the equation will be,

$3.79 + 4x = $5.11

4x = $5.11 - $3.79

x = 1.32/4

x = $0.33

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Consider the first six terms of this sequence: 2, 5, 8, 11, 14, 17,........What would be the 41st term of this sequence?
A. 125
B. 122
C. 2431533
D. 43

Answers

Answer:

122

Step-by-step explanation:

The nth term for this sequence is 3n - 1.

3 x 41 = 123

123 - 1 = 122

B) What is the mode?

Answers

Answer:

yellow

Step-by-step explanation:

Most of the flowers are yellow

Answer:

11

Step-by-step explanation:

Well that's because there are more yellow flowers

A farmer wants to fence a section of land for a horse pasture. Fencing costs $27 per yard. How much will it cost to fence the pasture?

Please help

Answers

Answer:

$16,875

Step-by-step explanation:

so we must take all of those to get how much fencing we need in total so we add all of those numbers leaving us with 1875 ft of fencing we need.

so if fencing costs $27 per yard we need to change the units

so there are 3 feet per yard so we divide 1875 by 3 leaving us with 625 yards of fencing

so now we multiply the 625 yards of fencing by the $27 per yard leaving us with $16,875 in total to spend for this farmer to fence his pasture for the horses

hope this helps! :))

Find the value of x:

Answers

Answer:

x = 17°

Step-by-step explanation:

2x - 4= 30° {being vertically opposite angles }

2x = 30° + 4°

2x = 34°

x = 17°

Hope it will help :)

HELP ASAPPP PLSS ill mark

Answers

Answer: 88

Step-by-step explanation: since its a circle u times the diameter of the cloth by 3.14 which is 87.92 so you round it to 88

BIG BRAIN KIDS ONLY

Given the relation {(11, 3), (-10, -7), (-7, 13), (-5, -2), (-9, -6)}, determine the domain.

A. {-10, -7, 5, 9, 11}

B. {-7, -6, -2, 11, 13}

C. {-10, -9, -7, -5, 11}

D. {-6, -5, -10, 11, -3}

Answers

Answer:

THE ANDER IS EHE DUDUDUSU

An alligator is 9 inches long at birth and grows 10 inches per year. Write an equation that represents the length y (in feet) of an alligator that is x years old. How long will the alligator be after 4 years?

Answers

Answer:

y=10x+9

after 4 years the gator will be 49 in long

Step-by-step explanation:

Answer:

y = 5/6x + 3/4.

At 4 years old,  the length y = 49/12 feet = 4 feet 1 inch.

Step-by-step explanation:

9 inches = 3/4 feet.

10 inches =  5/6 feet

So our equations is

y = 5/6x + 3/4.

When it is 4 years old:

y  = 5/6(4) + 3/4

= 20/6 + 3/4

= 49/12 feet

Martin and Isabelle go bowling. Each game costs $10, and they split that cost. Martin has his own bowling shoes, but Isabelle pays $3 to rent shoes.

Answers

Answer:

Martin's Bowling cost = $5x

Isabelle Bowling cost = $5x + 3

where x is the total games Martin and Isabelle played.

Step-by-step explanation:

As given,

There are 2 people - Martin and Isabelle

Each game costs = $10

Let they both play total games = x

⇒total game cost = $10x

As they split the cost , it means the cost is divided into half

⇒Martin game cost = $5x

Isabelle game cost = $5x

Also, given that Isabelle pays $3 to rent shoes.

⇒$3 is added to the Isabelle game cost

∴ we get

Isabelle game cost = $5x + 3

so, we get

Martin's Bowling cost = $5x

Isabelle Bowling cost = $5x + 3

how do I check my work for two step equations?​

Answers

For a 2 step equation, I'm guessing you are talking about this kind of equations.

2x+3=5

In these equations you solve it first.

2x=2

x=1

Now to check your work you simply substitute it back in to see if the equation stands.

2*1+3=?=5

2+3=5

This equal sign stands when I substitute it back so therefore its correct.

That's what checking your work means, this is how you check your work for most solve for x problems :)

8. Two boys share 9 feet of rope equally. How
many feet of rope does each boy get?
9 = 2 =
Each boy's share is
feet of rope.

Answers

Each boy’s share is 4.5 feet of rope.

all of the benches in the park are red or blue

Answers

Answer:

There's a 50% probability of all of them being red or blue

Step-by-step explanation:

More information needed

Answer:

Are you asking a question?

Step-by-step explanation:

Describe a time when you use my Math out of school

Answers

Answer:

Counting money to buy something from the store

Measuring ingredients for food

Yeah counting money, measuring things, finding temperatures etc

Which equation is a related fact to 60 ÷ 10 = ∎? A) ∎ = 10 × 60 B) ∎ × 10 = 60 C) 10 = ∎ × 60 Please help me.

Answers

Answer:

Hey! here is the answer!

Step-by-step explanation:

C! 10 = ∎ × 60

i know this becuase i did the equation in reverse, then used my calculator to make sure all the numbers added up.

Answer: B)

Step-by-step explanation:

First we need to find the value of the black sqaure. The value of the black square is 6 because 60 / 10 = 6. A) cannot be the answer because 6 does not equal 60. C) cannot be the answer because 10 does not equal 360. The only answer can be B) because 6 x 10 does equal 60.

What is f(-4) if
f (x)=13 – 5x .
a) -7
b)33
c)-33
d)7

Answers

Step-by-step explanation:

f(-4) = 13 - 5(-4)

= 13 + 20

= 33

Answer:

answes is 33

hopes rhis helps

I've wasted 42 points already. Can someone PLZ just answer my Question and stop wasting my points. PLz, this is due. I need help

Answers

Step-by-step explanation:

You can put the value of x into the equation to solve for y. Hopes this works.

7. The double dot plot shows the weights in pounds of several housecats and small dogs. Which inference can be made based on the information given below?




A. Small dogs median is larger than housecats.

B. Overall, house cats weigh more with less variation.

C. Overall, small dogs weigh more with less variation

D. Small dogs and housecats have the same median.

Answers

Answer:

B.

Step-by-step explanation:

For reference, the median for housecats is 11 and the median for small dogs is 9. So, by process of elimination, B is the correct answer.

The dot plot is solved and Overall, house cats weigh more with less variation.

What is a dot plot?

A dot plot, also known as a dot chart or dot graph, is a type of data visualization that displays the frequency of values in a dataset. It is a simple graphing technique that uses dots to represent data points on a horizontal or vertical axis.

Each data point in the dataset is represented by a dot placed above the corresponding value on the axis. If there are multiple data points with the same value, the dots are stacked vertically above that value. The resulting plot shows the distribution of data points along the axis, with the height of the stack of dots representing the frequency of each value.

Given data ,

Let the dot plot be represented as A and B

where the weights of house dogs and small dogs are plotted

Now , the median of house cats = 11

The median of small dogs = 9

Variation refers to the spread or dispersion of a set of data points. It measures how much the values in a dataset differ from the mean or from each other. There are several ways to calculate variation, including the range, variance, and standard deviation.

So , Overall, house cats weigh more with less variation.

Hence , the dot plot is solved

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40 POINTS!!

Select the correct answer.
4xV5 – 2xV5
What is the simplified form of 9V6
OA 27
OB.
37
V5
Ос.
OD
27
375

Answers

I only know what in the picture which is the letter A

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