if f(x) = 3x-4 and g(x) = 2x-7, then (f o g)(x) has what x-intercepts?
NEED ANSWER QUICK!!!

Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).

sin^2(0) + cos^2(0) = 1

sin^2(0) = 1 - cos^2(0)

sin^2(0) = 1 - 0^2

sin^2(0) = 1

So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.

However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.

trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.

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Answer:

x > 0

Step-by-step explanation:

\(x \div ( - 3) < 0 \\ \frac{x}{ - 3} < 0 \\ x > 0 \times - 3 \\ x > 0\)

Answer:

49 ÷ 66 × 100= x

Step-by-step explanation:

Answer:

Evaluated: 2/3 (or 0.6 repeating) -4 • 9 ÷ -2 ÷ 1/2 (or 0.5)

Equals: 36.6 (.6 is repeating)

Step-by-step explanation:

Just simplify the fractions and solved with calculator :)

Answer:

211 / 41 = 5 hours

Step-by-step explanation:

the total was 211 dollars, so you can add 25 dollars and 16 dollars together. That gives us 41 dollars. 211 divided by 41 is approximately 5 hours.

Hope it helps!

Answer:

c

Step-by-step explanation:

Answer:

alternate interior angles are congruent

Answer:

If it is a fair die then it should have 6 faces, each one having a number 1-6. The probability of landing on a single number is 1/6. Because the die is fair there should be an equal probability of landing on a number 1-6 giving you a probability of 1/6. However, if the number of times rolled is changed, then the answer would be multiplied or added (depending on the question).

Answer: I don’t have a number line, but...

Step-by-step explanation:

If you add -1 to any number, you lose one, right?

So, do that five times, and use the properties to show that there is no difference between them.

Answer:

I'm not sure I understand this. elaborate a bit more and I can help tho :)

Answer:

I did not mean to send this blank

Step-by-step explanation:

Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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The values of the variables x and y for the cyclic quadrilateral are 9 and 17 respectively.

The figure is a cyclic quadrilateral since it four side vertices lie on the circumference of the circle. The sum of the interior angles of a cyclic quadrilateral is also 360°. Also opposite angles of a cyclic quadrilateral add up to 180°

Thus;

11x + 8 + 8x + 1 = 180° {opposite angles of a cyclic quadrilateral}

19x + 9 = 180°

19x = 180° - 9 {collect like terms}

19x = 171

x = 171/19

x = 9

Also;

6y - 4 + 5y - 3 = 180°

11y - 7 = 180°

11y = 180 + 7

11y = 187

y = 187/11

y = 17

Therefore, the values of the variables x and y for the cyclic quadrilateral are 9 and 17 respectively.

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Answer:

-9/22t

Step-by-step explanation:

since the denominators (22) and the variable are the same, you can pretend as if you are only solving -4 - 5

-4 minus 5 is making the number go farther left from the zero on the number line

so the number itself is getting bigger, but the sign will stay negative

if you move five left from -4 on a number line you get -9

so now you can add the denominator to your answer: -9/22 t

The reasons for the steps are given below.

The value of x is -4.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

-2(4x + 3) = 26

[ The distributive property of multiplication over addition ]

-2(4x) + -2(3) = 26

-8x - 6 = 26

[ Adding 6 on both sides ]

-8x - 6 + 6 = 26 + 6

-8x = 32

[ Divide -8 into both sides ]

-8x/-8 = 32/-8

x = -4

Thus,

The reasons for the steps are given above.

x = -4

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Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

Answer:

12

Step-by-step explanation:

Inches÷12=Feet

Feet·12=Inches

Answer:

1.) C2.) C3.) D4.) D5.) C

Step-by-step explanation:

Answer:

I think 6+(-10)=-4

Step-by-step explanation:

Because its really hard to explain but it is the right answer tho<3

Answer:

Option A is the right answer mate...

Answer:

Step-by-step explanation:

area of trapezium ABCD

=(16.5+12)/2 \times 15

=(28.5)/2 \times 15

=213.75 cm^2

\(\frac{PQ}{DC} =\frac{8}{12} =\frac{2}{3}\)

Area of PQRS

=213.75 \times (\frac{2}{3} )^2\\=213.75 \times\frac{4}{9} \\=95 ~cm^2

area of green portion=213.75-95=118.75 cm²

Answer:

a) Distance is 40m b)0 c)2.5m/min

Step-by-step explanation:

a)8*5=40 b)He went from A to A c)16 min s=d/t 40/16

Answer:

it is point B

Step-by-step explanation:

because im smart

Answer:

Point B

Step-by-step explanation:

√11 is 3.3

And A is about 2. Something and inbetween D and E is 4 which means C will be 3.5

So it leaves it at B

Answer:

Below

Step-by-step explanation:

If d is a positive number then the greatest common factor is 108d.

To get it isolate d and d^2 from the numbers.

108 divides 216. (216 = 2×108)

Then the greatest common factor of 216 and 108 is 108.

For d^2 and d we will follow the same strategy

d divides d^2 (d^2 = d*d)

Then the greatest common factor of them is d.

So the greatest common factor will be 108d if and only if d is positive. If not then 108 is the answer

Answer:

\(\boxed{108d}\)

Step-by-step explanation:

Part 1: Find GCF of variables

The equation gives d ² and d as variables. The GCF rules for variables are:

The GCF for the variables is d.

Part 2: Find GCF of bases (Method #1)

The equation gives 108 and 216 as coefficients. To check for a GCF, use prime factorization trees to find common factors in between the values.

Key: If a number is in bold, it is marked this way because it cannot be divided further AND is a prime number!

Prime Factorization of 108

108 ⇒ 54 & 2

54 ⇒ 27 & 2

27 ⇒ 9 & 3

9 ⇒ 3 & 3

Therefore, the prime factorization of 108 is 2 * 2 * 3 * 3 * 3, or simplified as 2² * 3³.

Prime Factorization of 216

216 ⇒ 108 & 2

108 ⇒ 54 & 2

54 ⇒ 27 & 2

27 ⇒ 9 & 3

9 ⇒ 3 & 3

Therefore, the prime factorization of 216 is 2 * 2 * 2 * 3 * 3 * 3, or simplified as 2³ * 3³.

After completing the prime factorization trees, check for the common factors in between the two values.

The prime factorization of 216 is 2³ * 3³ and the prime factorization of 108 is 2² * 3³.  Follow the same rules for GCFs of variables listed above and declare that the common factor is the factor of 108.

Therefore, the greatest common factor (combining both the coefficient and the variable) is \(\boxed{108d}\).

Part 3: Find GCF of bases (Method #2)

This is the quicker method of the two. Simply divide the two coefficients and see if the result is 2. If so, the lesser number is immediately the coefficient.

\(\frac{216}{108}=2\)

Therefore, the coefficient of the GCF will be 108.

Then, follow the process described for variables to determine that the GCF of the variables is d.

Therefore, the GCF is \(\boxed{108d}\).

Answer and Step-by-step explanation:

First, solve for y and combine like terms. Then graph.

y = 3x + 3 - 2

y = 3x + 1

Here is the graph:

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The general solution of the ODE is:

y(x) = e^-x * (1 - (e^x - 1) / 1) + (e^x - 1) / 1 * (e^x + 1) / 1, 0 ≤ x ≤ 1

y(x) = e^-x * (1 + (e^x - 1) / 1) - (e^x - 1) / 1 * (e^x + 1) / 1, x ≥ 1

This is a first-order linear ordinary differential equation (ODE) with constant coefficients. It can be solved using the method of integrating factors.

Let's multiply both sides by the integrating factor e^(∫p(x)dx), where p(x) = 1.

e^(∫p(x)dx) * Dy/dx + e^(∫p(x)dx) * y = e^(∫p(x)dx) * f(x)

D/dx (e^(∫p(x)dx) * y) = e^(∫p(x)dx) * f(x)

Integrating both sides, we get:

e^(∫p(x)dx) * y = ∫ e^(∫p(x)dx) * f(x) dx + C

where C is an arbitrary constant of integration.

Using the initial condition y(0) = 1, we can find the value of the constant C.

y(0) = 1 = e^(∫p(x)dx) * y(0) = e^(∫p(x)dx) * 1 = ∫ e^(∫p(x)dx) * f(x) dx + C

So, C = 1 - ∫ e^(∫p(x)dx) * f(x) dx

For 0 ≤ x ≤ 1, we have f(x) = 1 and:

∫ e^(∫p(x)dx) * f(x) dx = ∫ e^x dx = (e^x - 1) / 1

For x ≥ 1, we have f(x) = -1 and:

∫ e^(∫p(x)dx) * f(x) dx = ∫ -e^x dx = -(e^x - 1) / 1

Therefore, the general solution of the ODE is:

y(x) = e^-x * (1 - (e^x - 1) / 1) + (e^x - 1) / 1 * (e^x + 1) / 1, 0 ≤ x ≤ 1

y(x) = e^-x * (1 + (e^x - 1) / 1) - (e^x - 1) / 1 * (e^x + 1) / 1, x ≥ 1

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Answer:A

Step-by-step explanation:

In the Neolithic Revolution, people formed civilizations.