does anyone can help me i dont get and how to solve this

Answer:

[tex]y=-\frac{1}{3}(x-2)^2+4[/tex]

Step-by-step explanation:

Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex] with the vertex being [tex](h,k)[/tex] and the vertical stretch or shrink factor as [tex]a[/tex].

Therefore, the correct equation is [tex]y=-\frac{1}{3}(x-2)^2+4[/tex]

The equation in vertex form of the downward-opening parabola with vertex (2, 4) that is stretched by a factor of 3.

The vertex form of a downward-opening parabola is given by:

y=a(x-4)²+k

Where (h, k) is the vertex of the parabola.

The vertex is (2, 4), and the parabola is stretched by a factor of 3. The negative sign in front of "a" indicates that the parabola opens downward.

So, we have:

Vertex: (h, k) = (2, 4)

Stretched factor:

a=-3

Now plug these values into the vertex form equation:

y=-3(x-2)²+4

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Answer:

-1/4

Step-by-step explanation:

please mark brainliest

Answer:

slope = 0.8

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

Step-by-step explanation:

a

Answer:

[tex]x=2\\x=-\frac{1}{2}[/tex]

Step-by-step explanation:

1) Move terms to the left side.

[tex]3x=2x^{2} -2\\3x-(2x^{2}-2)=0[/tex]

2) Distribute.

[tex]3x-(2x^{2} -2)=0\\3x-2x^{2} +2=0[/tex]

3) Rearrange terms.

[tex]3x-2x^{2} +2=0\\-2x^{2} +3x+2=0[/tex]

4) Common factor.

[tex]-2x^{2} +3x+2=0\\-(2x^{2} -3x-2)=0[/tex]

5) Divide both sides of the equation by the same term.

[tex]-(2x^{2} -3x-2)=0\\2x^{2} -3x-2=0[/tex]

6) Use the quadratic formula.

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

[tex]2x^{2} -3x-2=0\\a=2\\b=-3\\c=-2[/tex]

[tex]x=\frac{-(-3)+\sqrt{(-3)^{2} -4*2(-2)} }{2*2}[/tex]

7) Simplify.

Evaluate the exponent

[tex]x=\frac{3+\sqrt{(-3)^{2}-4*2(-2) } }{2*2}[/tex]

[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]

Multiply the numbers

[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]

[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]

Add the numbers

[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]

[tex]x=\frac{3+\sqrt{25} }{2*2}[/tex]

Evaluate the square root

[tex]x=\frac{3+\sqrt{25} }{2*2} \\x=\frac{3+5}{2*2}[/tex]

Multiply the numbers

[tex]x=\frac{3+5}{2*2}[/tex]

[tex]x=\frac{3+5}{4}[/tex]

8) Seperate the equations.

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

[tex]x=\frac{3+5}{4}[/tex]

[tex]x=\frac{3-5}{4}[/tex]

9) Solve.

Rearrange and isolate the variable to find each solution.

[tex]x=2\\x=-\frac{1}{2}[/tex]

Answer: do 2/3 of 62, or 2/3 x 62

convert 2/3 to a decimal (0.666)

0.666x62 = 41.292

Step-by-step explanation:

The interpretation that describes a line of best fit of y = 9.5x for the data in the scatterplot is (a) For each 1 minute, the runner ran 9.5 miles

The equation of the line of best fit is given as:

[tex]y = 9.5x[/tex]

The line of best fit is represented as:

[tex]y = mx + b[/tex]

Where m represents the rate or slope.

So, by comparison:

[tex]m = 9.5[/tex]

This means that, the number of miles travelled every minute is 9.5

Hence, the true statement is (a)

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The zero of the equation [tex]6 =- 16x^2+24x+1[/tex] represents the moment when the ball is 6 ft above the ground.

Given that,

The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,

[tex]\rm y=- 16x^2+24x+1[/tex]

We have to determine,

What information does the zero of the equation [tex]6 =- 16x^2+24x+1[/tex]represent?

According to the question,

In the quadratic equation for the ball's height, it is found that the zero of the equation represents,

[tex]\rm 6 =- 16x^2+24x+1[/tex]

The instant of the time x is when the ball is 6 ft above the ground.

The height of the ball is y(x), after x seconds, is modeled by:

[tex]\rm y =- 16x^2+24x+1[/tex]

The equation given is,

[tex]\rm y =- 16x^2+24x+1[/tex]

In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.

Hence, These points represent the moment when the ball is 6 ft above the ground.

For more details refer to the link given below.

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Answer:

2 or...?

Step-by-step explanation:

The hexagon is 2 inches long

Multiply it with the given measurement. 1 foot is 12 inches. This means that the perimeter = 12 in. A hexagon has 6 sides. This means that 12 divided by 6 sides = 2 in.

If you want to know more on hexagons go here:

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—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

Answer: Sunday

Step-by-step explanation:

The 27th would be tuesday

The 3rd would be tuesday

The 10th would be tuesday

The 15th would be sunday

Answer:

No it is not a factor of 56

Answer:

No

Step-by-step explanation:

6,12,18,24,30,36,42,48,54,60

Answer:

One pair of socks would be 1 dollar and 30 cents

Step-by-step explanation:

you divide the price of the socks by how many socks there are to get the answer.

Answer:

n=13

Step-by-step explanation:

39*5=15n

195=15n

13=n

Answer:

the answer is 143 cus u add throw

through

Answer:

2,160.00

Step-by-step explanation:

okay so first we have to find 4.5% of 12,000

which is 540, then multiply 540 by the four years and

540 x 4 = 2,160.00

The total loan amount would be equal to $14,310 in four years when Jay graduates.

Given the following data:

To determine how much (future value) the total loan amount would equal in four years when he graduates:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + r)^{t}[/tex]

Where;

Substituting the given parameters into the formula, we have;

[tex]A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)[/tex]

Future value, A = $14,310

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Answer: She did better in the Math test

Step-by-step explanation:

find the ratios of each by saying 14/17 = 0.82 then multiply by 100 to see it from 100 then you will get 82%

Now do the same thing for the other:

31/39 = 0.79 x 100 = 79%

In the end she got better in the math test!

Hope that helps :)

The ratio of the number 520 in 6: 7 will be 240: 280.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the number 520 is divided into the ratio 6: 7.

The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.

6x + 7x = 540

13x = 540

x = 540 / 13

x = 40

6x = 40 x 6 = 240

7x = 7 x 40 = 280

Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.

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Answer:

The third option, 1/2..

Answer:

Step-by-step explanation:

by the property of corresponding angles (2x +16) and (3x-12) will be equal

working uot from the equation 3x-12 = 2x+16 we get x=28

and we know that 3x-12 and y are supplementry as they form a linear pair

from that we will get the equation - 3x-12 + y = 180 and we know the value of x sowe will get y as 108

Answer:

false

Step-by-step explanation:

we can drink water and still grow

Answer:

122.4 i think

Step-by-step explanation:

Answer: 3/25

Step-by-step explanation:

=》29x + 4 < 76

=》29x < 76 - 4

=》29x < 72

=》x < 72/29

____

Hope it helps ⚜

[tex]29x +4 <76 \\\\\implies 29x < 76-4\\\\\implies 29x< 72\\\\\implies x<\dfrac{72}{29}\\\\\\\text{Decimal,} ~~~x<2.49\\\\\text{Interval,}~~ \left(-\infty, \dfrac{72}{29} \right)\\\\[/tex]

Answer:

I would have done it the same way. Believing it is correct.

Step-by-step explanation:

Answer: Looks precise

Step-by-step explanation:

Answer:

A≈653.45

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

Answer:

A

Step-by-step explanation:

Benjie's line is a better fit because it has a lower value of least square residual, which measures how far on average each point is from the line.

Answer:

4.92

Step-by-step explanation:

Answer: 4.92

Step-by-step explanation:

To round a three decimal integer like 4.922, you look at the trailing digit or last decimal (2) in this case.

Then determine if greater or less than 5. If greater or equal to 5, remove last digit 2 and then add 1 to the number before (2) or 2nd decimals place.

So we have 4.922 with last decimals being 2.

Therefore, we do not add and keep last decimals before the same.

Answer is 4.92