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2 years ago

Need help ASAP. Please and thanks!:

Mathematics

1 answer:

Nuetrik [128]2 years ago

3 0

Answer:

The answer is x=294 (B)

Step-by-step explanation:

Remember, all interior angles of a hexagon add to 720.

So add all the given numbers first.

92+100+94+140+x= 720

426+x=720

-426 from both sides

x= 294

I know this is a week later since you posted the question, sorry.

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(10 points/I really need help) Tomas needs exactly 6 potatoes to make 12 potato pancakes?? Which of the following statements are

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The answers are A, B, and D.

The given information is that Tomas needs 6 potatoes to make 12 potato pancakes. Thus, we can assume it takes 1 potato to make 2 potato pancakes.

An answer choice must have two times more pancakes than potatoes. Only A, B, and D satisfy this. The others can be confusing if the multiplication is not executed properly.

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Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6

Oksi-84 [34.3K]

Answer:

$-1/3$

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

$9x^2-15x$

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

$9x^2-15x=6$

Subtract 6 from both sides:

$9x^2-15x-6=0$

Divide everything by 3:

$3x^2-5x-2=0$

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

$3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0$

Find the x using the Zero Product Property:

$3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2$

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

$x=-1/3$

Assume that the correct symbol is >. Thus,

$x>-1/3$

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

$9x^2-15x$

0 is indeed less than six, so our first correct solution is:

$x>-1/3$

For the second one, do the same thing. We have:

$x=2$

Assume that the correct symbol is <. Thus:

$x$

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

$9x^2-15x$

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

$x>-1/3 \text{ and } x$

Together, we can write them as:

$-1/3$

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

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3 years ago

The population of a small town can be modeled by the equation where t is the number of years since the collection of the populat

liberstina [14]

The true statements is the population was 4800 when the collection of data began. (3rd option)

<h3>What is an exponential function?</h3>

An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = $e^{x}$

Where:

x = the variable
e = constant

When a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.

The exponential equation used to represent an exponential growth usually have this form:

FV = PV (1 + r)^n

Where:

FV = future population
PV = present population
r = rate of growth
n = number of years

Given this exponential equation : f(x) = 4800 (1.02)^t

4800 = initial population or population when the data collection began
2 % = rate of growth
t = number of years

To learn more about exponential functions, please check: brainly.com/question/26331578

#SPJ1

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1 year ago

Katarina [22]

Answer:

Step-by-step explanation:

Comparing the triangles in the given questions, the following can be deduced:

5. The scale factor = $\frac{15}{10}$ = $\frac{12}{8}$ ≠ $\frac{9}{7}$

So that;

QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.

Thus, the triangles are NOT similar.

6. Scale factor = $\frac{15}{10}$ = $\frac{12}{8}$ = $\frac{9}{6}$

= 1.5

So that;

QR is similar to UT, PR is similar to US, but PQ is similar to TS.

Thus, the triangles are similar by Side-Side-Side (SSS).

7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.

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2 years ago