^
Find (ff)(0).
f(x) = 3x - 2
a. 1
b. 0
Please select the best answer from the choices provided
ABCD

Step-by-step explanation:

First, we need to find that top angle, which we'll call angle x. We can say 26 is the hypotenuse, and 12 is the adjacent, so we know that:

[tex] \cos(x) = \frac{12}{26} [/tex]

Let's solve this, to find X:

[tex]x = { \cos }^{ - 1}( \frac{12}{26} )[/tex]

Now that we know what X is, we can use trig to find the missing side, which we'll call y. 48 is the adjacent, and y is the hypotenuse, therefore:

[tex] \cos(x) = \frac{48}{y} [/tex]

To find y, let's rearrange:

[tex]y = \frac{48}{ \cos(x) } [/tex]

And now let's figure out calculate the value of y (I'm leaving the value of X as just X for the equations, but you will need it to calculate first):

[tex]y = 0.767833242[/tex]

Answer:

the answer is A

Step-by-step explanation:

put it in the calculator

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

When you have a negative exponent like [tex](\frac{a}{b})^{-x}[/tex] you simply take the reciprocal and then the denominator takes the exponent. So it becomes [tex]\frac{b}{a^{x}}[/tex].

So now you simply plug -2 as x. This gives you [tex]2(4)^{-2}[/tex]. and 4 is essentially [tex]\frac{4}{1}[/tex]. So it becomes [tex]\frac{1}{4^2}[/tex] which is [tex]\frac{1}{16}[/tex]. So multiplying it by 2 you get [tex]\frac{2}{16}[/tex]. Which can be written as [tex]\frac{2}{8 * 2}[/tex] so the 2's cancel out and the fraction becomes [tex]\frac{1}{8}[/tex]

Answer:

The product is the difference of squares is [tex]$$(9c-2d)(9c+2d)=81{{c}^2}-4{{d}^2}$$[/tex]

Step-by-step explanation:

Explanation

[tex]$$\begin{aligned}&(9 c-2 d)(9 c+2 d)=(9 c)^{2}-(2 d)^{2} \\&(9 c-2 d)(9 c+2 d)=81 c^{2}-4 d^{2}\end{aligned}$$[/tex]

Answer:

7 maybe? (I'm assuming any two neighboring digits is greater than or equal to 8)

Step-by-step explanation:

Ok so it's important to establish which combinations of numbers have a difference of 8+. The most obvious one is (0, 8), and (1, 9), but there's also (0, 9). In my explanation I'll express a three digit number as: [tex]100a+10b+c[/tex] where a, b, and c will form the three digit number. It's important to understand that: [tex]a\ne0[/tex], because if it was 0, then it would be a two digit number, because there would be no hundreds place. So let's start with the (0, 8) combination. a=8 and b=0, and c can have 2 different values. So we get the two numbers: [tex]809, 808[/tex]. Now let's using the (1, 9) which can be rearranged where (a=1, b=9) OR (a=9, b=1) since this combination doesn't have a 0 as one of the values. So let's start with a=1, b=9, this leaves 2 values for c. This gives you the numbers: [tex]190, 191[/tex]. Now let's use the a=9, b=1 combination. This only leaves 1 values for c since 8-1 = 7, meaning c can only equal 9. This gives you the following number: [tex]919[/tex]. Now for the last combination: (0, 9). In this combination a has to be 9, and b has to be 0. This gives you 2 values for c. This gives you the following two numbers: [tex]909, 908[/tex]. Combining all these numbers we get the following numbers: [tex]909, 908, 919, 809, 808, 190, 191[/tex]

Displacement at t = 0 :

Displacement at t = 1 :

Displacement between t = 0 and t = 1 :

∴ The displacement between t = 0 and t = 1 is -4√2 meters.

Answer:

[tex]-4\sqrt{2} m[/tex]

Step-by-step explanation:

Similar question to the previous one you asked, and I swear I will not make the same mistake again :)

First we will find the displacement at t = 0 and t = 1 to find both displacements.

t = 0,

[tex]x(0)=4cos(\pi (0)+\frac{\pi }{4} )=4cos(\frac{\pi }{4} )\\=4(\frac{\sqrt{2} }{2} )\\=2\sqrt{2} m[/tex]

t = 1,

[tex]x(1)=4cos(\pi (1)+\frac{\pi }{4} )=4cos(\pi +\frac{\pi }{4} )\\=4(-\frac{1}{\sqrt{2} } )\\=-\frac{4}{\sqrt{2} }[/tex]

Total Displacement = Final Position - Initial Position

= x(1) - x(0)

= [tex]-\frac{4}{\sqrt{2} } -2\sqrt{2} \\=-4\sqrt{2} m[/tex]

Answer:

-11x^8 + 3

Step-by-step explanation:

-8x^8 + (-3x^8 + 3)

-8x^8 - 3x^8 + 3

-11x^8 + 3

Considering the situation described, the zeros of the function are given by:

C. 0, 2, and 4.

The zeros of a function are the values of x when f(x) = 0, and can also be described as the values of x for which the line intersects the x-axis.

In this problem, the line intersects the x-axis at x = 0, x = 2, and x = 4, hence option C is correct.

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Answer:

Step-by-step explanation:

Do all these angles equal 360 degrees?

The sum of the interior angles of any quadrilateral is 360 °

Answer:

n=45

Step-by-step explanation:

[tex]n=\dfrac{54.100}{120} \\\\n=45[/tex]

Answer:

126 sq. meters

Step-by-step explanation:

A = lw

= 9(14)

= 126 sq. meter

Answer:

9

Step-by-step explanation:

it’s clear that a ,b and c are in geometric progression.

Then we have :

a

b = q×a

c = q²×a

also , b² = a×c

………………………

NOTE : b² and b have the same factors

also ,since b² = a×c then b and a×c

have the same number of factors.

_______________________________

Since c = q²×a then any factor of a is also a factor of c

Which means the number of factors of a×c

is equal to the number of factors of c.

Therefore b at most has the same number of factors as c.

Conclusion:

at most b has 9 factors.

……………………

As a side note :

You can take as example the numbers 3 , 30 , 300.

3 ——-> 1 factor

30 = 3×5×2 ——-> 3 factors

300 = 3 × 5² × 2² ——-> 3 factors

Answer:

slope = m = 7/5

y-intercept = b = -3

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = 7/5 x - 3

slope = m = 7/5

y-intercept = b = -3

Answer:

Step-by-step explanation:

If a line's equation has the form y=mx+b, then finding the slope can be done within 2 seconds.

∴ m is the Slope,

and the slope is always multiplied by the x co-ordinate.

b is the y-intercept,

and it's added to the product of the slope and the x co-ordinate.

Both the slope and the y-intercept can be any real number.

∵, slope = [tex]\boxed{\rm{Slope=7/5}}[/tex]

∵, y-intercept = [tex]\boxed{\rm{Y-intercept=-3}}[/tex]

done !!

[tex]\orange\hspace{300pt}\above2[/tex]

The graph shows the solution to inequality is; y > ¹/₃x - 2

From the given graph, we see that the line joining the two dotted coordinates is a dashed line and as such the inequality will be less than or greater than.

Now, If a line passing through two points, then the equation of line is;

y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)

Using the two given coordinates, we have;

y - (-3) = [(-1 - (-3))/(3 - (-3))](x - (-3))

y + 3 = (2/6)(x + 3)

y = ¹/₃x - 2

Since the related line is dashed and the shaded region is above the line, therefore the sign of inequality is >.

The graph shows the solution to inequality is;

y > ¹/₃x - 2

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The equation that shoes the pieces of candy each kid would receive is x = 108 / 9.

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

Candy each kid would get = total number of candy / total number of kids

x = 108/9

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Answer:

15

Step-by-step explanation:

180-150 = 30

30 = 3x-15

45 = 3x

x = 15

The area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

From the question, we are to determine the area of the shaded quarter of the circle

The shaded quarter of the circle is a sector.

The area of a circle is given by the formula,

[tex]A = \frac{\theta}{360^\circ}\times \pi r^{2}[/tex]

Where A is the area

θ is the angle subtended

and r is the radius

First, we will calculate the radius of the circle

The radius of the circle equals the length of a side of the square.

From the given information,

Area of the square = 4 cm²

∴ s² = 4 cm²

s =√4 cm²

s = 2 cm

∴ A side of the square is 2 cm in length

Thus,

r = 2 cm

and

θ = 90°

Then,

[tex]A = \frac{90^\circ}{360^\circ}\times \pi \times 2^{2}[/tex]

[tex]A = \frac{1}{4}\times \pi \times4[/tex]

[tex]A = \pi \ cm^{2}[/tex] OR 3.14 cm²

Hence, the area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

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540 students gained admission

The given parameters are:

Students = 1200

Proportion that gain admission. p = 9/20

The number of student that gain admission is calculated as:

Admission = p * Students

So, we have:

Admission= 9/20 * 1200

Evaluate

Admission= 540

Hence, 540 students gained admission

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Equation of a line is given by y - y1 = m(x - x1); where m is the slope.

y - 4 = 2/5 (x - (-2))

y - 4 = 2/5 (x + 2)

Hope this helps! :)

Answer:

Step-by-step explanation:

y = 2/5x + p

We now that passes through (–2, 4)

 2/5 × (-2) + p = 4

⇔ -4/5 + p = 4

⇔ p = 4 + 4/5

⇔ p = 20/5 + 4/5

⇔ p = 24/5

⇒ y = 2/5x + 24/5

Step-by-step explanation

Well you gave no answer choices so here are the steps and maybe you can just find out which one isn't here :)

18=2(4+x) first multiply 2 into 4+x

18=8+2x then subtract 8 from the other side

10=2x divide both sides by 2

x=5

Best of luck <3

His average speed for the entire trip is 46.6 mph

We have,

30 miles at 40 mph

time taken at this speed = 30/40 = 3/4 hours

..

75 miles at 50mph

time taken = 75/50 = 3/2 hours

Total time taken = 3/4 +3/2 hours=3+6 /4

=9/4 hours

Total distance traveled = 30+75 = 105 miles

Average speed = 105/ 9/4

=105*4/9

46.6 mph is the average speed.

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Answer:

Step-by-step explanation:

Things we already know:

Angle B = 56 degrees

Angle C = 90 degrees

Side CB = 7 units

We need to find angle A and sides AC and AB.

We know that every triangle has its angles equal to 180 degrees

angle A + B + C = 180 degrees

angle A + 56 + 90 = 180 degrees

angle A + 146 = 180 degrees

subtract 146 from both sides.

angle A = 34 degrees

Now we know angle A.

To find side AC, we can use the tangent of theta.

The hyp (hypothenuse) = AB

The adjacent side = CB

And the opposite side = AC

The tangent of theta is the opposite side divided by the adjacent side.

[tex]tan(56) = \frac{AC}{7}[/tex]

Now we just need to solve for AC.

multiply 7 on both sides, to cancel it out on the right side.

7tan(56) = AC

10.3 = AC

Now we know the side AC.

AC = 10.3 units

To find the hypothenuse, we can use the sine, cosine, or the Pythagorean theorem.

I will choose the Pythagorean theorem, though.

[tex]7^{2} +10.3^{2} =AB[/tex]^2

49 +106.09 = AB^2

AB = 155.09 units^2

AB = 12.4 units

And now we know everything about this triangle.

A = 34 degrees

C = 90 degrees

B = 56 degrees

AC = 10.3 units

CB = 7 units

AB = 12.4 units

Hope I Helped!

If you are  solving for X then we have to do a few process

What you would want most is to remove the parentheses, so to do that i would use distributive property

3*2x is 6x and 3*3 is 9  so our new equation will look like

6x+9=15 if you don't understand please tell me

now we must bring the 9 over

If you bring the 9 over than it would become negative

6x=15-9

so 6x=6

and now you can solve the answer is x=1

Answer:

The solution is x = 1

Step-by-step explanation:

3(2x+3) = 15

6x+9 = 15

6x = 15-9

6x = 6

x = 6/6

x = 1

Factorize the quadratic.

[tex]2x^2 + 5x + 3 = (2x + 3) (x + 1)[/tex]

We have [tex]|ab| = |a||b|[/tex], so

[tex]|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0[/tex]

Now, both [tex]|2x+3|\ge0[/tex] and [tex]|x+1|\ge0[/tex] (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

[tex](2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1[/tex]

So the solution to the inequality is the set

[tex]\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}[/tex]

The greatest number of different cards based on the permutations is 144.

From the information given, there are 4 versions which are either roses, daisies, tulips, or sunflowers and this is further divided into either Happy birthday, anniversary, or holidays.

Therefore, the greatest number of different cards will be:

= 4! × 3!

= 24 × 6

= 144

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Answer:

15; -580; 936

Step-by-step explanation:

1. 10a-15=10*3-15=15

2. -5b^3+7b+10=-5*5^3+7*5+10=-580

3. 6abc+4a^2=6*3*5*10+4*3^2=936

Answer:

well.. 1/1/1 would be 1.

8 x 3 = 24

24x 1 = 24

sooo the answer would be 24...

Step-by-step explanation:

The product of the given expression 8 × 1/1/1 x 3 would be equal to 24.

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

We know that 1/1/1 would be 1.

So,

8 x 3 = 24

24x 1 = 24

Thus, the answer would be 24.

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Step-by-step explanation:

[tex]therefore \: x = 1[/tex]

The roots of the quadratic equation 2x² + 3x - 5 = 0 are  [tex]\frac{-5}{2}[/tex] and 1.

A quadratic equation is an equation of the form ax² + bx + c = 0. It is a polynomial with degree 2. In this equation, a is the coefficient of x², b is the coefficient of x, and c is the constant term.

The given quadratic equation is 2x² + 3x - 5 = 0.

Use the quadratic formula, also known as the Shreedharachrya formula to find the roots of the given equation:

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

  [tex]= \dfrac{-3\ \pm\ \sqrt{3^2-4\times2\times(-5)}}{2\times 2}\\= \dfrac{-3\ \pm\ \sqrt{9+40}}{4}\\\\= \dfrac{-3\ \pm\ \sqrt{49}}{4}\\= \dfrac{-3\ \pm\ 7}{4}[/tex]

[tex]x = \dfrac{-3-7}{4}[/tex] or [tex]x = \dfrac{-3+7}{4}[/tex]

[tex]x = \dfrac{-10}{4}[/tex] or [tex]x = \dfrac{4}{4}[/tex]

[tex]x = \dfrac{-5}{2}[/tex] or [tex]x = 1[/tex].

Hence, the roots of the given quadratic equation are [tex]\frac{-5}{2}[/tex] and 1.

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Answer:

y = 2x + 8

Step-by-step explanation:

  Parallel lines have same slope.

 y = 2x - 4

Slope = 2

Point (-2 ,4)

Equation of line in point-slope form:

         y - y₁ = m(x - x₁)

        y - 4  = 2(x - [-2] )

       y - 4   = 2(x + 2)

       y -4   = 2x + 4

             y = 2x + 4 + 4

        [tex]\sf \boxed{y = 2x + 8}[/tex]

The probability of a success and a failure is as follows,

P(success) = one - fourth

P(failure) = three - fourth

Definition of Probability

The area of mathematics that deals with numerical representations of the likelihood that an event will occur or that a statement is true is known as Probability. An event's probability is a number between 0 and 1, where, 0  generally denotes the event's impossibility and 1 denotes certainty of that event.

Calculating the Probability

The formula for finding the probability of an event to occur is given by,

P = (favorable outcomes)÷(total number of outcomes)

Now, it is given that each multiple choice question consists of 4 choices.

And, out of these four choices, only one answer is true.

Then, if Laila guesses the answer, the probability of choosing the right answer is given by,

P(success) =1/4

Thus, the probability of choosing the wrong answer will be,

p(failure) = 1 - P(success)

⇒ P(failure) = 1 - (1/4)

⇒ P(failure) = 3/4

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