Which of these statements is true for f(x)=5*(6)^x?
A. The domain of f(x) is x>0.
B. The y-intercept is (0,1).
C. It is always decreasing.
D. The y-intercept is (0,5).

In mental math, we simplify computations. For the given problem, we round 6,189 to 6,000, subtract it from 56,211 to get 50,211 and add back the amount we rounded down (189) to get the answer 50,400.

Using mental math means finding a solution with simplified steps or approximate computation, instead of the traditional written or calculator methods.

In this problem; 56,211 - 6,189, you can use rounding to make this easier.

1. Round 6,189 to the nearest thousand, which is 6,000.

2. Subtract this from 56,211 to get 50,211.

3. However, we rounded down by 189 at the beginning. To correct this, just add 189 back to the answer, resulting in 50,400.

This method simplifies the process and lessens your risk of making errors when handling larger numbers.

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For 56,211 - 6,189, rounding gives 50,000, and adding the small differences back in results in a final answer of 50,022.

To use mental math for the subtraction 56,211 - 6,189, consider the following steps:

First, round each number to the nearest thousand to simplify: 56,211 rounds to 56,000 and 6,189 rounds to 6,000.

Subtract the rounded numbers: 56,000 - 6,000 = 50,000.

Note that the actual numbers are slightly higher than their rounded values, making the difference slightly more than 50,000.

Adjust the result by calculating the exact difference between the small parts ignored during rounding. For example, the difference between 56,211 and 56,000 is 211, and

the difference between 6,189 and 6,000 is 189.

Add the small differences back into the result: 211 - 189 = 22.

Combine the simple difference with the adjustment: 50,000 + 22 = 50,022.

Therefore the final answer is  50,022

Answer:

q=13.8

Step-by-step explanation:

dude you should mark me as brainliest answer

Answer:

x² ≥ 0 for all x.

(x + 2)(x - 7) ≥ 0 when x ≤ -2 or x ≥ 7.

So x²(x + 2)(x - 7) ≥ 0 when x ≤ -2 or

x ≥ 7.

Answer:

You did not provide options but it would be any one of them that starts with -3 and then has a decimal.

Answer:

la respuesta es A. 3x - 3

Final answer:

To find (f - g)(x), subtract the function g(x) from f(x). (f - g)(x) = 3x - 3.

Explanation:

To find (f - g)(x), we need to subtract the function g(x) from f(x).

f(x) = 5x - 2

g(x) = 2x + 1

Subtracting g(x) from f(x) gives us:

(f - g)(x) = (5x - 2) - (2x + 1)

Expanding the expression:

(f - g)(x) = 5x - 2 - 2x - 1

Combining like terms:

(f - g)(x) = 3x - 3

The factor of the expression 9x⁴ - 64y² will be;

⇒ (3x² - 8y) (3x² + 8y)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 9x⁴ - 64y²

Now, Factor of the expression is solve as,

⇒ 9x⁴ - 64y²

⇒ (3x²)² - (8y)²

Since, (a² - b²) = (a - b) (a + b)

So, Apply the above formula in the expression as;

⇒ 9x⁴ - 64y²

⇒ (3x²)² - (8y)²

⇒ (3x² - 8y) (3x² + 8y)

Thus, The factor of the expression 9x⁴ - 64y² will be;

⇒ (3x² - 8y) (3x² + 8y)

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−18 = xy + z

move +z to the other side

sign changes from +z to -z

-18-z= xy+z-z

-18-z= xy

divide both sides by y to get x by itself

-18/y-z/y= xy/y

Answer:

x= -18/y-z/y or x=-z/y-18/y

Answer:

167

Step-by-step explanation:

Let n be your first number. Then the second number is 5n; and the third number is n+100. So:

n+5n+n+100=569

Final answer:

The three numbers in question are 65, 325, and 165, found by setting up an equation based on the given relationships and solving for the first number.

Explanation:

Finding the Three Numbers

Let's denote the first number as x. According to the problem, the second number is 5 times the first number, which can be written as 5x. The third number is 100 more than the first number and can be represented as x + 100. The sum of these three numbers equals 555, so we can set up the following equation to solve for x:

x + 5x + (x + 100) = 555

Combining like terms, we get:

7x + 100 = 555

Subtracting 100 from both sides gives us:

7x = 455

Now divide both sides by 7:

x = 65

The first number is 65. Using this value, we can find the second number:

5x = 5 × 65 = 325

And the third number:

x + 100 = 65 + 100 = 165

Therefore, the three numbers are 65, 325, and 165.

Katie can bake 48 muffins in 90 minutes because 90 minutes is twice 45 minutes, and since she can bake 24 muffins in 45 minutes, double the time means she can bake double the amount of muffins.

Katie is baking muffins at a rate where she can bake 24 muffins in 45 minutes. To determine how many muffins she can bake in 90 minutes, we simply need to set up a proportion and solve for the unknown quantity.

Step-by-Step Solution:

Therefore, Katie can bake 48 muffins in 90 minutes because the duration is double the time it takes to bake the original 24 muffins, hence she can bake twice as many.

Answer:

12

Step-by-step explanation:

8 + w/4

w = 16

8 + 16/4

16/4 = 4

8 + 4

8 + 4 = 12

12

2lbs/28oz

Divide each side by 2

1lbs/14oz

The simplest form of the ratio is: 8/7. To express the ratio of 2 pounds to 28 ounces as a fraction in simplest form, we need to convert both quantities to the same unit of measurement.

Since there are 16 ounces in 1 pound, we can convert 2 pounds to ounces:

2 pounds * 16 ounces/pound = 32 ounces

Now, the ratio becomes:

32 ounces to 28 ounces

To write this ratio as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD), which is 4 in this case:

32 ounces ÷ 4 = 8

28 ounces ÷ 4 = 7

So, the simplest form of the ratio is:

8/7

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Answer:

B. 20 over 32

Step-by-step explanation:

Because if you multiply both number by 4, you will get the ratio of 20:32

Final answer:

The equivalent ratio to 5 out of 8 players selected is 20 over 32, as both ratios reduce to the same value when simplified. Options A, C, and D are not equivalent to the original ratio of 5 to 3. Therefore, option(B) is correct.

Explanation:

The question asks about equivalent ratios. The tennis coach selected 5 out of 8 players to represent his academy, so the original ratio is 5 selected to 3 not selected (since 8-5 = 3). To find an equivalent ratio, we need to find multiples of both numbers that maintain the same relationship.

Option A, which presents the ratio 15 over 21, can be reduced by dividing both numbers by 3, yielding 5 over 7. This is not equivalent because 5 selected to 3 not selected is different than 5 to 7.

Option B, the ratio of 20 over 32, can also be reduced by dividing both numbers by 4, yielding 5 over 8. This is equivalent to the original ratio of 5 to 3 since the number of selected players would be scaled similarly. Therefore, the correct answer is B. 20 over 32.

Option C, 5 over 3, presents the opposite of the original scenario, where the numerator would represent the selected players, but this ratio does not need scaling, so it's not a valid equivalent ratio in this question.

Lastly, option D, 8 over 13, does not reduce to a ratio equivalent to 5 over 3 as these numbers have no common factors with 5 and 3 respectively.

What is Reciprocal?

The reciprocal of a number is 1 divided by that number.

For example, the reciprocal of 3 is 1 divided by 3, which is 1/3.

In the question, it is given:

[tex]\frac{5}{7} y=6\\\\y=\frac{6*7}{5} \\\\y=\frac{42}{5}[/tex]

Thus, the value of y= 42/5

In terms of reciprocal, it can be written as: y=5/42.

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Answer:

This is the answer

Step-by-step explanation:

take a peek at the fractions in the expression, hmmmm let's see the LCD of all fractions will just be 4, in this case there's one fraction only anyway, so let's multiply both sides by that LCD of 4 to do away with the denominators

[tex]\bf 6=\cfrac{a}{4}+2\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4(6)=4\left( \cfrac{a}{4}+2 \right)}\implies 24=a+8\implies 16=a[/tex]

one thing to be noteworthy is that this triangle has two angles, a 60° one and a 90° one, meaning the last angle will be a 30° one, thus we can use the 30-60-90 rule.

Check the picture below.

Answer:

x = 5

Step-by-step explanation:

Given that B is at the midpoint of AC, then

AB = BC ← substitute values

3x + 8 = 5x - 2 ( subtract 5x from both sides )

- 2x + 8 = - 2 ( subtract 8 from both sides )

- 2x = - 10 ( divide both sides by - 2 )

x = 5

Answer:

sure! Always do what's inside the brackets first and then the parentheses.

Step-by-step explanation:

anyways the answer is 3

Answer:-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

56/-7

Step-by-step explanation:

because it has decimal number.

Answer:

52*2=104

no you cannot complete the homework under two hours

Step-by-step explanation:

since 52*2 is only 104, and you need 130 pages to complete it, i would say that you can't complete the homework under two hours

Answer:

36

Step-by-step explanation:

Let the number of girls in club be [tex]x[/tex]

Number of boys = 30

Number of boys is 10 times half the number of girls

i.e. [tex]30 = 10(\frac{x}{2} ) = \frac{10x}{2} \\60 = 10x\\x = \frac{60}{10} \\x = 6[/tex]

Total number of boys and girls in club = 30 + 6 = 36

Answer: {5, 3, 1, -1}

Step-by-step explanation:

So, domain is the x-values and range is the y-values. You're trying to find the y-values. The problem gives you the domain: {0, 1, 2, 3}. So now you plug in the x values into the equation to get the y-values.

1.    y = 5 - 2(0)

        y = 5

2.    y = 5 - 2(1)

      y = 3

3.    y = 5 - 2(2)

      y = 1

4.    y = 5 - 2(3)

      y = -1

So, now you have the y-values, or range.

{5, 3, 1, -1}

I hope this helps you!

The answer is 0.7 bar.

See the attached picture:

hope it helps!