Question 8
The square of a number is always bigger than the number. Choose a counterexample that would prove this conjecture false.

The number is 10, and 10 squared is 100.

The number is 1/2, and 1/2 squared is 1/4

There is no counterexample that will prove the conjecture false.

Answer:

[tex]y = \frac{2}{3}x - \frac{4}{3} [/tex]

Step-by-step explanation:

first find the slope using the above points then use the slope formula to calculate the slope

[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3} [/tex]

substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b

[tex]y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3} [/tex]

substitute the slope and the value for b into the equation to get the answer

[tex]y = \frac{2}{3} x - \frac{4}{3} [/tex]

Answer: (x + 2) (x - 3)

Step-by-step explanation:

x^2 - x - 6

x^2 - 3x + 2x - 6

x(x - 3) + 2(x -3)

(x+2) (x-3)

Answer:

35 3x3=9 5x5=25 9+25=34

Step-by-step explanation:

Make this brainliest please and thank you

Answer:

53

Step-by-step explanation:

The sum of the squares of the digits is 34 -- they're likely 25 and 9, which means 5 and 3 for the numbers. The units is 2 less than the tens, so the only answer is 53.

Answer:2.4

Step-by-step explanation:

area = pi* r^2

18.1 /3.14=r^2

5.76 =r^2

Now root square

Answer:

2.4 km

Step-by-step explanation:

πr²=18.1 km²

18.1/3.14=5.76km²

576/100

24/10=2.4km

Answer:

no solution

Step-by-step explanation:

- 4(x + 2) = - 4x - 5 ← distribute parenthesis on left side by - 4

- 4x - 8 = - 4x - 5 ( add 8 to both sides )

- 4x = - 4x + 3 ( add 4x to both sides )

0 = 3 ← False statement

This indicates the equation has no solution

Answer:

52

Step-by-step explanation:

38+14=52

Hope that helps

Answer:

the lines are perpendicular

Step-by-step explanation:

you can simplify 2x+8y=16 so thats how i got the lines are perpendicular

Answer:

2 3/4 is greater because 1.25 as a fraction is 5/4

Answer:

ANSWER:D

Step-by-step explanation:

Sana maka help

9514 1404 393

Answer:

Step-by-step explanation:

The problem statement gives two relations between x (jars of jam) and y (packages of bread mix).

  6x +5y = 45 . . . . . . total cost

  x + y = 8 . . . . . . . . . number of items

__

These equations can be solved a number of ways. Substituting for y, we get ...

  y = 8 -x

  6x +5(8 -x) = 45

  x +40 = 45

  x = 5 . . . . . . . . . jam

  y = 8 -5 = 3 . . . mix

There are 5 jars of jam and 3 packages of bread mix in the gift basket.

Answer:

(−x)(x+5)(x+5)(x+5)

Step-by-step explanation:

#1

[tex]\\ \sf\longmapsto (1+cosx)(1-cosx)[/tex]

[tex]\\ \sf\longmapsto 1-cos^2x[/tex]

[tex]\\ \sf\longmapsto sin^2x[/tex]

#2

[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]

[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

The simplified form of each of th given Trigonometric expressions is given below.

Given are the trigonometric expressions.

{1} -

{1 + cos(x)}{1 - cos(x)}

{1² - cos²(x)}

sin²x

{2} -

{1/cot²(x) - 1/cos²(x)}

{sin²(x)/cos²(x) - 1/cos²(x)}

{sin²(x) - 1}/{cos²(x)}

{- cos²(x)/cos²(x)}

- 1

{3} -

sec²(π/2 - x){sin²(x) - sin⁴(x)}

sin²(x) {1 - sin²(x)} {1/cos²(π/2 - x)}

sin²(x) cos²(x) × 1/sin²(x)

cos²(x)

Therefore, the simplified form of each of th given Trigonometric expressions is given above.

To solve more questions on Trigonometric expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

hope you like my answer its -8

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The parent function e^x has a horizontal asymptote at y=0.

Answer:

j = $1.20

Step-by-step explanation:

26.44 (total cost) - 2.44 (cost of chips) = 24

$24 dollars (cost of pack of juice bottles) divided by 20 (number of juice bottles in the pack = 1.2

The required equation for the cost of 20 juice bottles is x = (26.44 - 2.44) / 20 and costs $1.2.

She bought a bag of chips for $2.44 and a 20-pack of juice bottles.
The total cost before tax was $26.44.
To determine and solve an equation that can be used to determine j, how much each bottle of juice costs.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the cost of the bottle be x,
According to the question,
2.44 + 20x = 26.44
20x = 26.44 - 2.44
x = [24] / 20

x = $1.2

Thus, the required equation for the cost of 20 juice bottles is x = (26.44 - 2.44) / 20 and costs $1.2.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

30

Step-by-step explanation:

[tex]1 + 1 \times 2 \\ = 1 + 2 \\ = 3 \\ \\ 1 + 4 \times 5 \\ = 1 + 20 \\ = 21 \\ \\ 4 + 5 \times 6 \\ = 4 + 30 \\ = 34[/tex]

Answer:

a = 3/4

Step-by-step explanation:

Given the vertex, (3, -1) and the other point, (5, 2):

We could substitute these values into the vertex form of the quadratic equation:

y = a(x - h)² + k

Where:

(h, k ) = vertex

a = determines whether the graph opens up or down, and makes the graph wider or narrower.  

h = determines how far left or right the parent function is translated.

k =  determines how far up or down the parent function is translated.

Substitute the vertex, (3, -1) and point (5, 2) into the vertex form to solve for "a":

y = a(x - h)² + k

2 = a(5 - 3)² - 1

2 = a(2)² - 1

2 = a(4) - 1

Add 1 to both sides:

2 + 1 = a(4) - 1 + 1

3 = 4a

Divide both sides by 4 to solve for a:

3/4 = 4a/4

3/4 = a

Therefore, the value of a = 3/4. Since the value of a is positive, and that it is between 0 and 1, then it means that the graph opens upward and is wider than the parent function.

The quadratic equation in vertex form is: y = 3/4(x - 3)² - 1, where a = 3/4.

Please mark my answers as the Brainliest if you find this explanation helpful :)

Answer:

You are 62 years old

Step-by-step explanation:

Let's set up an equation:

400 - 3a = 214 ( let a be your age)

Add 3a to each side:

400 = 214 + 3a

Subtract 214 from each side:

186 = 3a

Divide each side by 3:

62 = a

Answer:

Step-by-step explanation:

The angles with measure of 66 and x are consecutive interior angles and therefore supplementary:

The angles x and 4y - 6 are alternate interior angles and therefore congruent:

Answer:

-4

Step-by-step explanation:

Answer:

[tex](x^{2} +5)^{2}[/tex]

Answer:

(2, 4)

Hope this helps! Brainliest would be really appreciated!

If they get unexpected results they could note what they could've done wrong or what they could change in a next trail of experiments. Or look back and see what different happened to they could've hypothesized. There could be many different courses on what to do next.

Answer:

We can easily figure out how fast the boat is moving per hour.

35 km / 7 hours = 5 km/h

We now know that we are moving at a rate of 5 kilometers every 1 hour. We can now take our 5 km/h and multiply it by 3 hours to get our answer

5 km/h x 3 = 15 kilometers