What are the x-intercepts of the functions fx)=-4(x+3)(x-9) ?​

The correct sentences in the passage are option A, option B, and option E.

Let's check all the options, then we have

Any two squares are either similar or congruent. The statement is true.

If two lines are parallel, they never intersect. The statement is true.

If all the angles of a polygon are congruent, then it is a square. The statement is false because a regular polygon has an equal angle but it may be a pentagon, hexagon, etc.

The intersection of two lines always forms 4 congruent angles. The statement is false because opposite angles are the same. But if adjacent angles become the same, then the statement will be true.

A line can be drawn through any two distinct points. The statement is true.

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The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

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Step-by-step explanation:

f(x)=3x²-4x+8

f(1)=(3*1)²-4(1)+8

f(1)=3²-4+8

f(1)=9-4+8 or using BODMAS

f(1)=5+8 or f(1)=9-12

f(1)=13 or f(1)=-3

Answer:

2/4

Step-by-step explanation:

Answer:

The correct answer is C. Recovery.

Step-by-step explanation:

Economic recovery is the economic stage immediately after a recession, where the economy begins to recover after the crisis. In this stage, there is an increase in production and employment and a decrease in unemployment, which leads to a greater abundance of money in the hands of society, which in turn begins to generate higher rates of consumption. In this phase of the cycle, investments increase, both spontaneously and under the influence of rising earnings. There is an increase in the number and volume of bank loans and deposits placed with banks, with a simultaneous stagnation at a low level or even a decrease in the level of interest rates.

The term that best applies to a reversal of economic output which occurs just before a period of new economic growth is recovery

When several periods are compared, economic growth implies an increase in the production of economic goods and services.

When there is a reversal of economic output, the next stage is for the economy to recover.

Hence, the term that best applies is recovery

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Answer:

x = 16

Step-by-step explanation:

We are given the equation:

\( \displaystyle \large{10x + 8 = 11x - 8}\)

First, subtract both sides by 10x.

\( \displaystyle \large{10x - 10x+ 8 = 11x - 10x - 8} \\ \displaystyle \large{8= x- 8}\)

Then add both sides by 8 to isolate x-term.

\( \displaystyle \large{8 + 8= x- 8 + 8} \\ \displaystyle \large{16 = x}\)

And we're done! The value of x is 16.

Answer:

1 1/4

Step-by-step explanation:

7 1/2 divided by 6

Answer:

−4<x<−2

Step-by-step explanation:

8 > 4 − x > 6

8 > −x + 4 > 6

8 + −4 > −x + 4 + −4 > 6 + −4

4 > −x > 2

Since x is negative we need to divide everything by -1 which gives us...

−4 < x < −2

Answer:

2x ( -3x + 14)

Step-by-step explanation:

Distribution property is used in a format like a ( b + c ). To simplify these kinds of expressions, we multiply the outside term by each of the inside terms. So in this instance, a ( b + c ) is equal to ab + ac.

3x ( 2x - 8 ) + 4x

Let's use what we learned above, and multiply the outside term (-3x) by each of the inside terms.

-3x · 2x + (-3x) · (-8) +4x

Simplify by multiplication:

-6x² + 24x +4x

Finally, we add:

-6x² +28x

Now, to simplify further, we can look for terms that show up in numbers.

We can see that the variable x is present in each of the terms, so we can factor that out, removing it from the term as follows:

x ( -6x + 28)

We can look and see that 2 is also a common factor between the two terms, so we can take that out too.

2x ( -3x + 14)

This is the most simplified it can get.

Answer:

6  5

Step-by-step explanation:

4 5  6 7

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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The function g(x) can be expressed as g(x) = a(x - h) + k, where a is the coefficient of x (which is 1 for f(x) = x^2), h is the horizontal shift, and k is the vertical shift.

To translate a function 6 units left, we need to shift it horizontally by -6 units. So, h = -6.

Since the function g(x) is a translation of f(x), a and k will have the same values as in f(x). In this case, a = 1 and k = 0.

Therefore, the function g(x) that represents the translation 6 units left of f(x) is:

g(x) = a(x - h) + k

= 1(x - (-6)) + 0

= 1(x + 6) + 0

= x + 6

the answer is: g(x) = x + 6

The value of the cash flows four years from today is $22,609.26.

The value of a set of cash flows can be calculated using the present value of an annuity formula. This formula takes into account the time value of money, which states that money has a different value at different points in time due to the opportunity cost of the money. In other words, the money you have today is more valuable than the money you will have in the future.

The present value of an annuity formula is PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. In this example, the cash flows are $3,000, $4,040, $5,885, and $7,975, the interest rate is 5.4%, and the number of periods is 4. Plugging these numbers into the formula, the present value is $22,609.26. This is the value of the cash flows four years from today.

The value of the cash flows four years from today is $22,609.26.

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Answer:

Step-by-step explanation:

Answer:

17.2

Step-by-step explanation:

3x=12+y

x=12+y/3

\(8( \frac{12 + y}{3}) \div 2y\)

\( \frac{96 + 8y}{3} \times \frac{1}{2y} \)

\( \frac{96 + 8y}{6y} \)

(y is divided by y so it no longer exists)

\( \frac{96 + 8}{6} \)

\( \frac{104}{6} \)

\(17.2\)

Answer:

what do you want me to help you with i not see want the answer are of it

Step-by-step explanation:

Answer:

We are simply manipulating the equation: a =  bh//2 to solve for the h. So we divide both sides of this equation by 1/2b to isolate the h variable and get: h(a) = 2a/b.

Step-by-step explanation:

Answer:

45,75

Step-by-step explanation:

Simplify 120

⬇️

45,75

Cesar initially had $2,500 in savings.

Let's solve the problem step by step.

Let's assume that the initial amount of money Cesar had is represented by "x" dollars.

According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:

0.85x = 2,125

To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:

x = 2,125 / 0.85

Calculating this value:

x = 2,500

Cesar initially had $2,500 in savings.

Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.

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Answer:

Step-by-step explanation:

2695f(100/55f)=4900 undergraduates.

All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.

We now have 3x = 60

Divide both sides by 3:

x = 60/3

x = 20

Answer:

As in the given figure, all the sides are equal i.e., 5 units

It is a equilateral triangle.

In equilateral triangle all the angles are 60°.

\(3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}\)

Answer:

13/50

Step-by-step explanation:

Answer:

0.2143 probability that all of them practice satirical.

Step-by-step explanation:

The comedians are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

8 comedians means that \(N = 8\)

6 practice satirical means that \(k = 6\)

Sample of 4 means that \(n = 4\)

What is the probability that all of them practice satirical?

This is P(X = 4). So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 4) = h(4,8,4,6) = \frac{C_{6,4}*C_{2,0}}{C_{8,4}} = 0.2143\)

0.2143 probability that all of them practice satirical.

Answer:

1

Step-by-step explanation:

a fourth is 1/4 meaning Fourth = 1/4

Answer:

h=-7

Step-by-step explanation:

-4(-6h - 7) = 9h + 10h - 7

24h+28=19h-7

Both side -28

24h+28-28=19h-7-29

24h=19h-35

Both side -19h

24h-19h=19h-19h-35

5h=-35

h=-7

Answer:

h = -7

Step-by-step explanation:

-4(-6h-7)= 9h+ 10h-7

24h+ 28=19h-7

-19. -28. -19 -28

5h -35

h= -7

Answer:

One.  The point at which the parabola and the line intersect.

Answer:

12

Step-by-step explanation:

Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

9514 1404 393

Answer:

  y -3 = -1/2(x +10)

Step-by-step explanation:

Given a point and a slope, it is reasonable to use the point-slope form of the equation for a line.

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

Your line has slope m = -1/2 through point (h, k) = (-10, 3). Putting these values into the appropriate form your equation is ...

  y -3 = -1/2(x +10) . . . . point-slope form equation

__

  y = -1/2x -5 +3 . . . . eliminate parentheses, add 3

  y = -1/2x -2 . . . . . . . . . slope-intercept form equation