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balan

Step-by-step explanation:

Vertex form is: [tex]a(x-h)^2+k[/tex]

a) [tex]a(x+2)^2+3=y[/tex]

To find a, plug (-4,1) in for x and y.

[tex]a(-4+2)^2+3=1[/tex]

[tex]4a=-2[/tex]

[tex]a=-1/2[/tex]

so a) is [tex]\frac{-1}{2} (x+2)^2+3[/tex]

b) .... I'm not sure what the second coordinate is.

c) [tex]a(x+2)^2-3[/tex]

Plug in (-5,6) for x and y.

[tex]6=a(-5+2)^2-3[/tex]

[tex]9=9a[/tex]

[tex]a=1[/tex]

so c) is [tex](x+2)^2-3[/tex]

d) [tex]a(x+2)^2+5[/tex]

Plug (1,-4) in for x and y.

[tex]-4=a(1+2)^2+5[/tex]

[tex]-9=9a[/tex]

[tex]a=-1[/tex]

so d) is [tex]-(x+2)^2+5[/tex]

Answer:

[tex]\textsf{(a)}\quad y=-\dfrac{1}{2}(x+2)^2+3[/tex]

[tex]\textsf{(b)}\quad y=a(x+1)^2-1[/tex]

[tex]\textsf{(c)}\quad y=(x+2)^2-3[/tex]

[tex]\textsf{(d)}\quad y=-(x+2)^2+5[/tex]

Step-by-step explanation:

Vertex form

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

where (h, k) is the vertex

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Part (a)

Given:  vertex at (-2, 3) passes through (-4 ,1)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+3[/tex]

[tex]\implies y=a(x+2)^2+3[/tex]

Substitute the given point into the equation to find a:

[tex]\implies 1=a(-4+2)^2+3[/tex]

[tex]\implies 1=4a+3[/tex]

[tex]\implies a=-\dfrac{1}{2}[/tex]

Substitute the found value of a to form the final equation:

[tex]y=-\dfrac{1}{2}(x+2)^2+3[/tex]

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Part (b)

Given:  vertex at (-1, -1) passes through ?)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-1))^2+(-1)[/tex]

[tex]\implies y=a(x+1)^2-1[/tex]

Substitute the given point into the equation to find a:

**no point given**

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Part (c)

Given:  vertex at (-2, -3) passes through (-5, 6)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+(-3)[/tex]

[tex]\implies y=a(x+2)^2-3[/tex]

Substitute the given point into the equation to find a:

[tex]\implies 6=a(-5+2)^2-3[/tex]

[tex]\implies 6=9a-3[/tex]

[tex]\implies a=1[/tex]

Substitute the given point into the equation to find a:

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

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Part (d)

Given:  vertex at (-2, 5) passes through (1, -4)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+5[/tex]

[tex]\implies y=a(x+2)^2+5[/tex]

Substitute the given point into the equation to find a:

[tex]\implies -4=a(1+2)^2+5[/tex]

[tex]\implies -4=9a+5[/tex]

[tex]\implies a=-1[/tex]

Substitute the given point into the equation to find a:

[tex]y=-(x+2)^2+5[/tex]

To find the density:

 ⇒ must find the relationship between the density, mass, and volume

    ⇒ [tex]Density = \frac{mass}{volume}[/tex]

Let's examine the information given:

Let's first find the volume:

   ⇒ the volume is the dimensions multiplied together

      [tex]Volume = 8cm * 5cm * 5cm = 200cm^3[/tex]

LEt's calculate the density now:

  [tex]Density = \frac{1890g}{200cm^3} =9.45g/cm^3[/tex]

Answer: The density of the copper is 9.45g/cm^3 or Choice (A)

Hope that helps!

Answer:

what???

Step-by-step explanation:

im not sure what you are talking about

Answer:

The length for the edge should be 6.

Step-by-step explanation:

Hope this helps

Answer:

84x

Step-by-step explanation:

Because the sum of the internal angles must be equal to 180°, we will see that x =  43.75

Here we need to remember that the sum of the internal angles of a triangle always gives 180°, so we can write:

(x + 10)° + (3x - 5°) + x°  = 180°

Now we need to solve this linear equation for x.

4x + 5= 180

4x = 180 - 5 = 175

x = 175/4 = 43.75

The value of x is 43.75

If you want to learn more about triangles, you can read:

https://brainly.com/question/2217700

Answer:

0.1

Step-by-step explanation:

1 is in the tenths place and 2 is in the hundredths place

Since the digit in the hundredths place (2) is less than 5, the digit in the tenths place (1) does not change

The digit in the hundredths place is dropped

0.12 rounded to the nearest tenth (one decimal place) = 0.1

Answer:

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.

State the hypotheses.

State the critical value(s).

State the test statistics.

State the decision

State the conclusion.

Answer:

7/5 = 1  2/5

Step-by-step explanation:

You need to multiply the number of bowls filled, by the amount of candy that goes into each bowl.

There are 7 bowls to fill and 1/5 of a bag of candy goes in each bowl.

7 * 1/5 = 7/5

This works out to 7/5 or 1 and 2/5.

Answer:

355 full boxes. 356 if you don't count the not full one that she would need.

Step-by-step explanation:

3908/11 = 35.272727

Answer:

Option A, [tex]x =[/tex] ± [tex]7.75[/tex]

Step-by-step explanation:

Step 1:  Add 60 to both sides

[tex]x^2 - 60 = 0[/tex]

[tex]x^2 - 60 + 60 = 0 + 60[/tex]

[tex]x^2 = 60[/tex]

Step 2:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{60}[/tex]

[tex]x =[/tex] ± [tex]7.75[/tex]

Answer:  Option A, [tex]x =[/tex] ± [tex]7.75[/tex]

Answer:

y=2x+9

Step-by-step explanation:

point slope form

y-y1=m(x-x1)

y-3=2(x+7)

m=2

y intercept: b=9

y=mx+b where m=2 b=9

y=2x+9

Answer:

Elon Musk 269.7 B
Jeff Bezos: 170.15 B
Bill Gates: 130.23 B

Step-by-step explanation:

If you had a trail of 1 billion 1 dollar bills, it would stretch out to 96,900 miles.

If you did that with 100 billion 1 dollar bills, that would be 9,690,000 miles.

That is more than 300 times the circumference of the Earth.

Answer:

what's the question? we need to know in order to help

Here given that

So

Every person has one and only mouth

Means

So

Answer:

Step-by-step explanation:

The interquartile range is the difference between Q3 and Q1.

Since Q3 = 75% mark and Q1 = 25% mark, this range is representing the data between those 2 marks:

The blank is 50%

Answer:

Second option

Step-by-step explanation:

convert  [tex]1\frac{1}{2}[/tex]  to improper fraction:

[tex]1\frac{1}{2} =\frac{2(1)+1}{2} =\frac{3}{2}[/tex]

The second opcion:

[tex]V = (2)(2)(\frac{3}{2} )=\frac{12}{2} =6[/tex]

Hope this helps

Answer:

a , c and d

Step-by-step explanation:

a , c and d are correct

Answer:

79500.00

Step-by-step explanation:

75000(1 + .06) = 79500

The number of apples there are in the basket as described in the task content is; 20 apples.

Inference drawn from the task content show that;

On this note, we must identify a number divisible by 9 between 30 and 40.

The number is 36 and once divided by 9 is 4 units per partition.

On this note, the total number of apples in the basket is; 4 × 5 = 20 apples.

Read more on ratios;

https://brainly.com/question/13513438

#SPJ1

Answer:

1.5x - 32

Step-by-step explanation:

friday = x

0.5x = monday

and

x-32 = friday

in total

1.5x-32

Answer:

perimeter=4×length

so 72= 4l

divide through by 4

length=18

Answer:

Step-by-step explanation:

Perimeter

Area

From the perimeter

Substituting in the area formula

The greater value of the two will be the length, and lesser value will be the width.

Dimensions are : 24 inches x 12 inches

Answer:

121/16

Step-by-step explanation:

Answer:

0.75.

Step-by-step explanation:

1) the required vertical distance is the distance between two vertexes.

2) according to the item 1, the coordinates of the vertexes are:

(y=x²+1): x₀=0; y₀=1;

(y=x-x²): x₀=0.5; y₀=0.25;

3) according to the item 2, the distance between 1 and 0.25 is 0.75.

Answer:

[tex]\implies \dfrac{80}{90}-\sqrt{50} \times 19^2 \div 23^2[/tex]

Order of operations (PEDMAS)

Following the order of operations,
Carry out the exponents (and radicals) first:

[tex]\implies \dfrac{80}{90}-\sqrt{25 \cdot 2} \times 361 \div 529[/tex]

[tex]\implies \dfrac{80}{90}-5\sqrt{2} \times 361 \div 529[/tex]

Now the multiplication and division (from left to right):

[tex]\implies \dfrac{8}{9}-1805\sqrt{2} \div 529[/tex]

[tex]\implies \dfrac{8}{9}-\dfrac{1805\sqrt{2}}{529}[/tex]

Convert the fractions so that their denominators are the same:

[tex]\implies \dfrac{8 \times 529}{9 \times 529}-\dfrac{1805\sqrt{2} \times 9}{529 \times9}[/tex]

[tex]\implies \dfrac{4232}{4761}-\dfrac{16245\sqrt{2}}{4761}[/tex]

Answer as a fraction:

[tex]\implies \dfrac{4232-16245\sqrt{2}}{4761}[/tex]

Answer as a number:

[tex]\implies -3.936546801... = -3.9\: \textsf{(nearest tenth)}[/tex]

Answer:

20

Step-by-step explanation:

To find the area, separate the unique shape into 3 rectangles. Then, solve for the area of those three rectangles:

2 x 4 = 8
2 x 3 = 6
6 x 1 = 6

Then, add up all of those areas to find the total area of the unique shape:

8 + 6 + 6 = 20

The area of the unique shape is 20.

Answer:

7

Step-by-step explanation:

first you input the -1 into all the spots where the xs are so the new equation would be f(-1)=4(-1)(-1) +5(-1)+8

then when you simplify its 4-5+8

which is equal to 7