Which value of x is in the domain of f(t) = squared x - 7
O A. x= 8
O B. x = 0
C. x= -3
O D. x = 6
SUBMIT

Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.

Step-by-step explanation:

Answer:

To be honest I don't understand this question

Answer: [tex]36.86^{\circ}[/tex]

Step-by-step explanation:

Given

Coordinates  of Point A is [tex](-3,-4)[/tex] i.e. Point A is 3 units to the left and 4 units below x-axis

From figure, we can write

[tex]\Rightarrow \tan \theta =\dfrac{3}{4}\\\\\Rightarrow \theta=\tan^{-1}\left(\dfrac{3}{4}\right)\\\\\Rightarrow \theta=36.86^{\circ}[/tex]

Answer:

Factorise:

3a(b+c)-4d(b+c)

Last one.

Further on:

(3a-4d)(b+c)

The factor 3ab + 3ac – 4db – 4dc can be grouped as

a(3b + 3c) - d(4b + 4c).

We can break large polynomials into groups that transmit a common factor. This allows us to factor each separate group, then mix like terms. This exists named factoring by grouping.

Given: 3ab + 3ac - 4db - 4dc.

Expanding the equation a(3b + 3c):  3ab + 3 a c

=3 a b+3 a c-d(4 b+4 c)

Expanding the equation -d(4 b+4 c): -4bd - 4cd

a(3b + 3c) - d(4b + 4c) = 3ab + 3ac - 4bd - 4cd

Therefore, the correct answer is option b) a(3b + 3c) - d(4b + 4c).

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Answer:

Step-by-step explanation:

Given Equation:

x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3

which simplifies to

x^3- 5x^2 + 7x+ 13 = 0

Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.

The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13

The other root can therefore be obtained by long division

(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1

Therefore the three roots are:

{x=3-2i, x=3+2i, x=-1 }

Answer:

A, B, & D

Step-by-step explanation:

A. isosceles - 2 sides equal (actually) all sides are equal

B. equilateral - all sides equal and all angles are equal too

D acute - all angles are less than 90 degrees

Answer:

where is the question . ..... we are ready to help you

9514 1404 393

Answer:

  a) (x +2)(x +3)

  b) x = -2 or -3

Step-by-step explanation:

a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...

  6 = 1×6 = 2×3

The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...

  x² +5x +6 = (x +2)(x +3)

__

b) The solutions to the equation are the values of x that make the factors zero:

  (x +2) = 0   ⇒   x = -2

  (x +3) = 0   ⇒   x = -3

Answer:for points vgunvh

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

[tex]f(t) = -(t^2-6t-5)[/tex] and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

[tex]t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)}[/tex] and

[tex]t=\frac{6+-\sqrt{36+40} }{2}[/tex] and

[tex]t=\frac{6+-\sqrt{56} }{2}[/tex] so the 2 solutions are

[tex]t=\frac{6+\sqrt{56} }{2}=6.74sec[/tex] and

[tex]t=\frac{6-\sqrt{56} }{2}=-.742sec[/tex] and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

[tex]-8(t^2-6t)=-40[/tex] Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

[tex]-8(t^2-6t+9)=-40+??[/tex]

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

[tex]-8(t^2-6t+9)=-40-72[/tex]

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

[tex]-8(t-3)^2=-112[/tex]

For the last step, add over the -112 and set it back equal to f(t):

[tex]-8(t-3)^2+112=f(t)[/tex] From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

Answer:

3a^6

Step-by-step explanation:

Answer:

[tex]30 {a}^{6} [/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

The square root of 37 minus the square root of 26

[tex]\sqrt{37} -\sqrt{26}[/tex]

Step-by-step explanation:

a) 7 pi / square root 10 = 7(3.14)/3.162277660 = 6.95

b) square root 75 - square root 74 = 8.660254038-8.602325267=0.058

c) square root 37 - square root 26 = 6.082762530-5.099019514=0.98

s) 3 square root 5 - square root 20 / square root 2 =

   3(2.236067978) - 4.472135955/1.414213562=6.708203934-3.162277661=

   3.546

Answer:

Length of the hypotenuse - 10

Step-by-step explanation:

To find the hypotenuse, we need to use the Pythagorean theorem.

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

64 + 36 = c^2

c^2 = 100

c = 10

Given:

A figure of two congruent triangles.

To find:

The triangle congruence postulate by which the given triangles are congruent.

Solution:

First label the vertices as shown below.

In triangle ABC and triangle CDA,

[tex]AB\cong CD[/tex]                   (Given)

[tex]\angle BAC\cong \angle DCA[/tex]                   (Given)

[tex]AC\cong AC[/tex]                  (Common side)

The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.

[tex]\Delta ABC\cong \Delta CDA[/tex]            [SAS congruence postulate]

Therefore, the correct option is B.

Answer:

this can be solved by simple unitary method

[tex]time \: taken \: to \: remove \: \frac{5}{9} \: tons \: of \: dirt \: = 1 \: hr \\ time \: taken \: to \: remove \: \frac{31}{6} \: tons \: of \: dirt \: = \frac{31}{6} \times \frac{9}{5} \: hr \\ = \frac{93}{10}hr \\ = 9 \times \frac{3}{10} hr[/tex]

Answer:

V =282.6 in ^3

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

We know pi = 3.14 r= 3 and h =10

V = 3.14* 3^2 *10

V =282.6

Answer:

A,E,G

Step-by-step explanation:

use sohcahtoa

sine = opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

Answer:

-6- (2(3))

-6-6=-12

Answer= -12

Step-by-step explanation:

Answer:

The answer for "b" is... B.

or 53˚

Step-by-step explanation:

Subtract 180 with 127

which is 53˚

Answer:

B. There are infinitely many solutions to the system of equations,

Step-by-step explanation:

they are the same line look at image

Answer:

The alarm bell will ring at 473 psi.

Step-by-step explanation:

To answer this, find 215% of 220 pounds per square inch:

Convert the percentage 215% to its decimal fraction equivalent, 2.15, and then multiply 220 pounds per square inch by it:

2.15(220 psi) = 473 psi

The alarm bell will ring at 473 psi.

Answer:

1093.96

Step-by-step explanation:

900(1+.05)⁴=1093.955625

Answer:

You can use M a t h w a y. and you will get all the correct answers

Step-by-step explanation:

Hope this helps :)

Answer:

question 21:  29

question 16:  -1/729

question 15:  1/144

question 14:  1/64

question d=rt, solving for t:  answer is Letter G, t=d/r

Step-by-step explanation:

Hope this helps

Answer:

$30.92

Step-by-step explanation:

Answer:

$23 I hope this helps :)

Step-by-step explanation:

The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex]  is 2.

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.

f = {(a,b)| for all a ∈ A, b ∈ B}

Given,

[tex]f(x)=7x^3-14x+2[/tex]

Answer has shown in the attached file.

Hence, The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex]  is 2.

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Answer:

Hope this helps!

Step-by-step explanation:

f'(x)=0

Answer:

Q

Step-by-step explanation:

5x+15y ≥ -20

Solve for y

15 y≥  -5x-20

Divide by 15

y ≥ -5x/15 -20/15

y ≥ -1/3 x -4/3

Y is greater than or equal to so shade above  and on the line

4x-2y > 6

Solve for y

-2y > -4x+6

y < 2x -3

Shade below the line

The double shaded area is the solution

==========================================================

Explanation:

Let's focus on the inequality 4x-2y > 6

Plug in (x,y) = (0,0) to find that...

4x-2y > 6

4(0)-2(0) > 6

0 > 6

This is a false statement. So that means (0,0) is not in the shaded region for 4x-2y > 6. So we'll shade the opposite side of the dashed line to shade regions Q and R (i.e. stuff below the dashed line).

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

Let's check the point (0,0) with the other inequality as well

[tex]5x + 15y \ge -20\\\\5(0) + 15(0) \ge -20\\\\0 \ge -20\\\\[/tex]

This is true because 0 is to the right of -20 on the number line.

So we'll shade regions P and Q to represent the solution set for this inequality. These regions are above the boundary line. Points on the boundary are also included.

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

To summarize so far, we found that

The overlap is region Q which is the final answer

Any point from region Q satisfies both 4x-2y > 6 and [tex]5x + 15y \ge -20\\\\[/tex] at the same time. A point on the solid boundary line is part of the solution set, but stuff on the dashed boundary line are not solution points.