(X-3)^2-49 into standard form

Answer:

y = 3x² - 15x + 18

Step-by-step explanation:

y = 3(x - 3)(x - 2) ← expand factors using FOIL

   = 3(x² - 5x + 6) ← distribute parenthesis by 3

y = 3x² - 15x + 18 ← in standard form

ANSWER

SEE EXPLANATION

Step-by-step explanation:

3(x²-2x-3x+6)

3(x²-5x+6)

3x²-15x+18

Answer:

22

Step-by-step explanation:

25+27+30+15+18+24+15 all divided by 7

Answer:

2.796x10^10

Step-by-step explanation:

4.66x10^8 in one second

1 minute is equal to 60 seconds

Multiply 4.66x10^8 by 60

= 2.796x10^10

Answer:

Nonlinear association

Step-by-step explanation:

Answer:

El volumen del prisma triangular es 110 centímetros cúbicos.

Step-by-step explanation:

El volumen del prisma ([tex]V[/tex]), en centímetros cúbicos, es igual al producto del área superficial del triángulo ([tex]A[/tex]), en centímetros cuadrados, y la profundidad del prisma ([tex]z[/tex]), en centímetros:

[tex]V = A\cdot z[/tex]

[tex]V = \frac{1}{2}\cdot b\cdot h\cdot z[/tex] (1)

Donde:

[tex]b[/tex] - Base del triángulo, en centímetros.

[tex]h[/tex] - Altura del triángulo, en centímetros.

Si sabemos que [tex]b = 4\,cm[/tex], [tex]h = 5.5\,cm[/tex] y [tex]z = 10\,cm[/tex], entonces el volumen del prisma triangular es:

[tex]V = \frac{1}{2}\cdot (4\,cm)\cdot (5.5\,cm)\cdot (10\,cm)[/tex]

[tex]V = 110\,cm^{3}[/tex]

El volumen del prisma triangular es 110 centímetros cúbicos.

Answer: 48

Step-by-step explanation:

b)origin

The point of intersection (0, 0) is called the origin.

Hope it helps you

Answer:

I

Step-by-step explanation:

We have to added up the like therms

like therms are therms with the same literal parts

3a - 7a = -4a

6b-3b= 3b

-4a + 3b+ 9c

Answer:

D. 15 is correct.

I did the quiz.

Answer:

571

Step-by-step explanation:

We solve using z score.

z = (x-μ)/σ, where

x is the raw score = ?

μ is the population mean = 480

σ is the population standard deviation = 70

z = 1.3

Hence,

= 1.3 = x - 480/70

Cross Mulitiply

1.3 × 70 = x - 480

91 = x - 480

x = 480 + 91

x = 571

Therefore, Marulla's raw score is 571

Yesterday was your birthday. (May 29)

Give The Rest of the question

Answer:

Reflection about x axis

r(1,2)-----------r'(1,-2)

, s(3,3) ..........s'(3,-3)

and t(-3,4).....t'(-3,-4)

Answer:

The true statements are:

B and D.

Step-by-step explanation:

First, a linear function can be written as:

y = a*x + b

Such that a is the slope, and b is the y-intercept.

If we know that the graph of the function passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we have a function that passes through the points (6, 7) and (10, 13), then if this function is linear, the slope is:

a = (13 - 7)/(10 - 6) = 6/4 = 3/2

Then the function will be something like:

f(x) = (3/2)*x + b

Knowing that the function passes through (6, 7), this means that:

f(6) = 7

Then:

(3/2)*6 + b = 7

3*3 + b = 7

9 + b = 7

b = 7 - 9 = -2

The function, if linear, is:

f(x) = (3/2)*x  - 2

Now let's read the statements:

A)  If the graph also contains the point (4, 4) then the function must not be linear.

If the point is a solution of the equation, then the function is linear.

If the point is not a solution of the equation, then the function is not linear.

f(4) = 4 = (3/2)*4  - 2

        4 = 3*2 - 2

        4 = 6 - 2 = 4

Then (4, 4) is a solution, so if the graph also contains the point (4, 4) the function can be linear. Then the statement "A" is false.

Now let's do the same analysis for the other statements:

B)  If the graph also contains the point (12, 16) then the function must not be linear.

F(12) = 6 = (3/2)*12 - 2 = 3*6 - 2 = 18 - 2 = 16

           6 = 16

(12, 16) is not a solution, so if the graph contains this point, the function is not a linear function, the statement is true.

C) If the graph also contains the point (1, 2) then the function could be linear.

f(1) = 2 = (3/2)*1 - 2 = 3/2 - 2 = -1/2

The point (1, 2) is not a solution, so if the graph contains this point, then the function can't be linear, so the statement is false.

D) If the graph also contains the point (8, 10) then the function could be linear.

f(8) = 10 = (3/2)*8 - 2

        10 = 3*4 - 2 = 12 - 2

        10 = 10

The point (8, 10) is a solution of the linear equation, so if the graph contains this point, the function could be linear, so the statement is true.

mean: 5.5 hours

range: 7.9 hours

Answer:

G

Step-by-step explanation:

In math whenever you have the word "of" it means multiply, so 66% of the total number of people who took the survey( which is 165) is 66/100 multiplied by 165.

[tex]\frac{66}{100} *165= 108.9[/tex] which rounds up to 109

Given:

Principal = $1500

Time = 10 year

Amount after interest compounded continuously = $3935.36

To find:

The rate of interest.

Solution:

The formula for amount after continuous compound interest is:

[tex]A=Pe^{rt}[/tex]

Where, P is principal, r is the rate of interest in decimal and t is time in years.

Putting [tex]P=1500,A=3935.36,t=10[/tex] in the above formula, we get

[tex]3935.36=1500e^{r(10)}[/tex]

[tex]\dfrac{3935.36}{1500}=e^{10r}[/tex]

[tex]2.6236=e^{10r}[/tex]

Taking ln on both sides, we get

[tex]\ln(2.6236)=\ln e^{10r}[/tex]

[tex]0.9645=10r[/tex]                   [tex][\because \ln e^x=x][/tex]

Divide both sides by 10.

[tex]\dfrac{0.9645}{10}=r[/tex]

[tex]0.09645=r[/tex]

The rate of interest in percentage is:

[tex]r=100\times 0.09645[/tex]

[tex]r=9.645\%[/tex]

Therefore, the required rate of interest is 9.645%.

The degrees of rotation that will carry the square onto itself are,

⇒ 90°, 180°, 270°, 360°

Since, A Square is a two dimension figure with 4 sides, 4 corners and 4 right angles. All the sides of the square are equal and parallel to each other.

Given here:

A square is rotated clockwise about center point P.

Now , Since there are have 4 vertices, your starting vertex can land in 4 different starting places and still come up with the same figure.

So if you take 360/4 you get 90 degree rotations to each consecutive vertex.

or more specifically;

= 360/4

= 90

Hence, the square will coincide itself after every integral multiple of 90.

Thus, 90°, 180°, 270°, 360° are the required angles of rotation.

Learn more about the rectangle visit:

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Answer:

3

Step-by-step explanation:

y = -3x^2 + 5x + 3

                          ↑ this is "the number at the end/constant," and according to the question the number at the end/constant is the y-intercept

Thus, the y-intercept is 3.

Answer:

RN=5

Step-by-step explanation:

QR is congruent to RN therefore they are the same length

Answer:

A

Step-by-step explanation:

Concept :-

On converting :-

[tex]\bf\implies y + 5 =\dfrac{1}{3}(x-9)\\\\\bf\implies y + 5 =\dfrac{1}{3}x - 3 \\\\\bf\implies y = \dfrac{1}{3}x - 3 - 5 \\\\\bf\implies\boxed{\red{y = \dfrac{1}{3}x -8 }}[/tex]

Answer:

a, c, & d

Step-by-step explanation:

-6,1 , 0,5 , 1,7 hope this help

Answer:

[tex]2^2+3^2[/tex]

[tex]2^2=4[/tex]

[tex]3^2=9[/tex]

[tex]=4+9[/tex]

[tex]=13[/tex]

----------------------

hope it helps..

have a great day!!

Answer:

16 / 81

Step-by-step explanation:

Between digits 0 ,1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

Prob (prime number) = Prime numbers / Total numbers ; Prime numbers = 1,3,5,7. So, Prob = 4 / 9

Prob (composite number) = Composite numbers / Total numbers ; Composite numbers = 2, 4, 6 , 8.  So, Prob = 4 / 9

Prob (Prime & Composite) = 4 / 9 x 4 / 9 = 16 / 81

Answer:

5/12

Step-by-step explanation:

No. of times coin landed head up / Total no. of flips

= 125 / 300

= 25*5 / 25*12

= 5 / 12

Set the polynomial equal to y y to find the properties of the parabola. y=2x2+10x+11 y = 2 x 2 + 10 x + 11. Rewrite the equation in vertex form. Tap for more steps.

Answer:

g(-3)= -3^3-7

= -27-7

= -34

Answer:

28 miles per gallon

560/20=28

Step-by-step explanation:

Plz give me brainliest

Number of miles a car travels are 28.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Number of gallons of gas = 20

A car with 20 gallons of gas can drive 560 miles

Based on the given conditions,

= [tex]\frac{560}{20}[/tex]

= 28

Hence, number of miles are 28.

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