A triangle with vertices at (1,1), (1,-3), and (3,-3) is acute. In complete sentences, explain whether this statement is true or false, and explain why?

Answer:

D) x<0 or x>3

Step-by-step explanation:

x(x-3)>0

either x>0 and x-3>0      .... positive-positive=positive   so x>3

or x<0 and x-3<0    ..... negative-negative=positive  so x<0

if x=0 then x(x-3)=0

The solution to the inequality is x < 0 or x > 3

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To solve the inequality x(x - 3) > 0, we can use a sign chart.

First, we can find the critical points of the inequality, which are the values of x that make the expression x(x - 3) equal to zero. These values are x = 0 and x = 3.

Then, we can create a sign chart with these critical points and test intervals between them to determine the sign of the expression x(x - 3) in each interval.

Interval Test Value x(x - 3)

x < 0   -1                Positive

0 < x < 3    1                  Negative

x > 3    4                Positive

From the sign chart, we see that x(x - 3) is positive when x < 0 and when x > 3, and negative when 0 < x < 3.

Hence , the solution to the inequality x(x - 3) > 0 is x < 0 or x > 3

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Answer:

it's geometric

8/4=2 16/8=2

d=2

Answer:

24

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4[tex]x[/tex]

Let the total number of choir students = 6[tex]x[/tex]

Total number of students = 60

As per question statement, we can write the following equation:

[tex]\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6[/tex]

Total number of band students = 4 [tex]\times[/tex] 6 = 24

Answer:

Step-by-step explanation:

X=8.50

y=9.50

The inequality that represents the relationship will be 0.10x + 0.25y ≤ 8.50.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Tyler filled a little container with quarters and dimes and gave it to his school's foundation club. The club party getting the container inquired, "Do you end up realizing how much is in the container?" Tyler said, "I know it's something like $8.50, yet I don't have a clue about the specific sum."

Let x be the number of dimes and y be the number of quarters. Then the inequality is given as,

0.10x + 0.25y ≤ 8.50

The inequality that represents the relationship will be 0.10x + 0.25y ≤ 8.50.

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Answer:

x=23.5

Step-by-step explanation:

[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]

Answer:

so pretty much what your doing is 4x3

Step-by-step explanation:

Answer:

x = 32

Angle B = 120°

Step-by-step explanation:

3 (4x - 8) = 360°

4x - 8 = 120

4x = 128

x = 32

Answer:

b

Step-by-step explanation:

Answer:

The actual right answer is D

Step-by-step explanation:

1.3 x 4.5 = 5.85

answer = D

Answer:

11 / 9

Step-by-step explanation:

Let number = x

(x * 9) + 4 = 15

9x + 4 = 15

9x = 15 - 4

9x = 11

x = 11 / 9

Hence, the number is 11 /9

Answer:

9/2

Step-by-step explanation:

3/4 = w/6

w = 3/4 *6

w = 9/2

Answer:

50%

Step-by-step explanation:

Given that :

Let Probability of rain today = P(rain today) = 50% = 0.5

The complement of an event A denoted as A' means the opposite of event A is obtained by subtracting event a from 1.

P(rain today) = 0.5

The complement of P(rain today) ; means the probability that it will NOT rain today;

Hence, P(raintoday') = 1 - 0.5 = 0.5 = 50%

Answer:

3 dollars

Step-by-step explanation:

5 cans= 15 dollars

1 can = 15/5= 3

3 dollars

Answer:

Step 1: $15

Step 2: 38%

Step-by-step explanation:

Step 1:

40 - 25 =15.

Therefore, the price would decrease by $15.

Step 2:

40 multiplied by .38 equals 24.80. You would round that up to 25. If you plugged in 37%, it would equal 25.20, which is over the price. Therefore the price decreased by 38%.

Answer:

f(x) + g(x) = x² + 17x + 72

If you want to factor that, then it comes out as:

f(x) + g(x) = (x + 8)(x + 9)

Step-by-step explanation:

[tex]f(x) + g(x)\\= x^2 + 16x + 63 + x + 9\\= x^2 + 17x + 72\\= (x + 8)(x + 9)[/tex]

Answer:

Factored?

x^2 + 8x +7

Step-by-step explanation:

x times x = x^2, with 7 times x = 7x and x times 1 = 1x. Add those two common terms together to get 8x. Then lastly 7 times 1 =7 so add that.

Simplify form of (x + 1)(x + 7) is equals to x² +8x +7.

"Simplification in mathematics means to write the given expression in such a way that it is easy to understand."

According to the question,

Simplify the given equation by opening the brackets we get,

  (x + 1)(x + 7)

=  x² + 1x +7x +7

= x² + 8x + 7

Hence, simplify form of (x + 1)(x + 7) is equals to x² +8x +7.

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Answer:

B: y = − (x − 3)² + 2

Step-by-step explanation:

You can check this using a graphing calculator, but it has a vertex of (3,2)

Answer:

B

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Fist, you would see that company a Provides water to 5 people, since 1/5 of 25 is 5. 25/15X9=15. 15+5=20. So, 25-20=5.

Answer: Choice A)

Set A is an exponential function and the values increase at a faster rate than Set B.

======================================================

Explanation:

Focus on Set A. Each time x goes up by 1, y goes up by a factor of 10. In other words, the y value is being multiplied by 10.

etc

This strongly implies that we're dealing with an exponential function. The equation for this function is y = 10^x.

Plug in x = 1 and you should get y = 10. Repeat for x = 2 and it should lead to y = 100. This helps confirm we have the correct function.

On the other hand, Set B deals with a linear equation which is y = 50x+950. The slope 50 is the amount we're increasing y each time x goes up by 1. If you plug x = 1 into this, you should get y = 1000. Plug in x = 2 and it leads to y = 1050, and so on.

When comparing exponential growth rates versus linear growth rates, the exponential will be faster. This is true even if you have a very small exponential growth rate. At some point, the exponential will overtake the linear. The linear growth rate is some constant value that never changes. The exponential growth rate increases over time. Think about simple interest versus compound interest and that may be a good example to go over.

Answer:

it is B because the teacher gave me the answer hope y'all enjoy

Step-by-step explanation:

Answer:

true, false, true

Step-by-step explanation:

A- The expression 7.95b + 4.95m represents the cost of buying b books and magazines (true)

B- The expression 12.90(b+m) represents the cost of buying b books m magazines (false)

C- The total cost of buying 3 books and 4 magazines is $43.65 (true)

23.85b + 19.8m = $43.65

i hope this answers your question :) have a great day

Answer:

f(-9) = -64

Step-by-step explanation:

Substitute -9 for x:

f(-9) = - (-9)^2 - 4(-9) - 19

= -81 + 36 - 19

= -64

5x+24+5(x+5)

Distribute:

=5x+24+(5)(x)+(5)(5)

=5x+24+5x+25

Combine Like Terms:

=5x+24+5x+25

=(5x+5x)+(24+25)

=10x+49

Answer:= 10x+49

solve for x

10x =-49

10/10x -49/10

x= -4.9

Hope this helps

Answer:

0.11 kilos

Step-by-step explanation:

Answer:

your gonna need to start from the point 5 and move up

Step-by-step explanation:

Answer:

It is 4 feet tall

Step-by-step explanation:

Filler

Answer

3 it cant be 6 because lines L and M are not parallel

Step-by-step explanation:

Answer:

T=x/78

height/78=76

Step-by-step explanation:

Answer:

90 x 125

Step-by-step explanation:

22500÷2 = 11250

factors of 11250 = {1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 625, 750, 1125, 1250, 1875, 2250, 3750, 5625, 11250} (this took me long to type and calculate lol)

well we want the factors as close as possible to minimize the perimeter. In this case, it is 90 and 125. therefore the dimenstions are 90 x 125