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3 years ago

What is the y-value of the function in the table when the x-value is 0?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

7 0

Answer: X,2,4,6 y,28,52,76.

Step-by-step explanation:

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Write the quadratic function f(x) = x2 + 8x + 3 in vertex form.

Stolb23 [73]

F(x)=(x+4)2−13 i think this is the simplified of the perfect trinomial

6 0

3 years ago

??????????????????????

ale4655 [162]

Answer:

$Area = 58 \ units^2$

Step-by-step explanation:

We can start by finding the third side of the triangle/the side of the square using the Pythagorean Theorem:

$a^2+b^2=c^2$

In this case the side length of the square would be represented by the variable "c" as it is the hypotenuse:

$3^2+7^2=c^2$

$9+49=c^2$

$c^2=58$

$c=\sqrt{58}$

Since the area of a square is the side length square then...

$Area =( \sqrt{58} )^2$

The square root and the squared cancel out giving us...

$Area = 58 \ units^2$

3 0

3 years ago

Which angles are coterminal with an angle drawn in standard position measuring 282°?

vampirchik [111]

Answer:

−438°, -78°, 642°

Step-by-step explanation:

Given angle:

282°

To find the co-terminal angles of the given angle.

Solution:

Co-terminal angles are all those angles having same initial sides as well as terminal sides.

To find the positive co-terminal of an angle between 360°-720° we will add the angle to 360°

So, we have: $282\°+360\°=642\°$

To find the negative co-terminal of an angle between 0° to -360° we add it to -360°

So, we have: $282\°-360\°=-78\°$

To find the negative co-terminal of an angle between -360° to -720° we add it to -720°

So, we have: $282\°-720\°=-438\°$

Thus, the co-terminal angles for 282° are:

−438°, -78°, 642°

7 0

3 years ago

Write the expression in algebraic form. [hint: sketch a right triangle.] tan(arcsec(x/3))

WARRIOR [948]

Sketch a right triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x” and assigning angle “a” as the angle between A and H. Using Pythagorean theorem, you will get “square root of x-squared minus 9” as the opposite side (O). Using SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) = x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.

6 0

3 years ago

What is the probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator

kirill [66]

Answer:

See explanation

Step-by-step explanation:

Total number of letters = n! = 10

Permutation for 10 letters = n!

= 10!

= 10*9*8*7*6*5*4*3*2*1

= 3628800

From n letters:

Number of A = 2

Number of C = 2

Number of L = 2

A₁, A₂, C₁, C₂, L₁, L₂, O, R, T, U

Out of 3628800 permutations the word calculator can be spelled as:

C₁ A₁ L₁ C₂ U L₂ A₂ T O R

C₂ A₂ L₂ C₁ U L₁ A₁ T O R

and so on

So total number of different permutations are

(permutation of number of letters) / permutation of (number of As * number of Cs * number of Ls)

= 10! / (2! 2! 2 !)

= 10*9*8*7*6*5*4*3*2*1 / (2*1) (2*1) (2*1)

= 3628800 / 2 * 2 * 2

= 3628800 / 8

= 453600

Hence probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator" is:

1 / total number of different permutations

= 1 / 10! / (2! 2! 2 !)

= 1/453600

= 0.000002

8 0

3 years ago