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3 years ago

WILL GIVE BRAINEST!!! PLEASE HELP

Mathematics

1 answer:

erik [133]3 years ago

3 0

Answer:

1.) The point (24,30) would not be on the line

2.) The point (12,13) would not be on the line either

4.) The slope is a fraction of 2/1

Bonus: y = (2/1)x - 2

Step-by-step explanation:

For question three, I looked at the (6,10) point on the graph and compared it with the (a,8) point. That showed me that the y coordinate always moves by 2. Then I looked at the (6,10) coordinate and the (a,8) coordinate and the (4,b) coordinate and saw that there was one x coordinate between 6 and 4 so it must be five. That means the x coordinate moves by 1.

Let me know if you need more help!

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Which property is illustrated by the following statement? 50pts

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When multiplying numbers, it doesn't matter which number is first or second.

The correct answer is: Commutative Property of Multiplication

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3 years ago

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Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

PilotLPTM [1.2K]

$3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\ 24 + 30 < 6x + 12x \\ 54 < 18x \\ \frac{54}{18} < \frac{18x}{18} \\ x > 3$

Solution : ] 3 , + ♾️ [

PLEASE GIVE BRAINLIEST

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2 years ago

The graph shown represents the number of bacteria in a dish after a certain number of minutes. It is a function in the form f(x)

SSSSS [86.1K]

Answer:

The number of bacteria in the dish after 9.9 minutes is 478

Step-by-step explanation:

The form of the function is $f(x)=a.b^{x}$ , where a is the initial amount (value f(x) at x = 0)

To find a and b let us use two points from the graph and substitute their coordinates in the equation

∵ The graph passes through point (1 , 1)

∴ x = 1 and y = 1

- Substitute them in the equation

∵ $1=a.b^{1}$

∴ a.b = 1 ⇒ (1)

∵ The graph passes through point (1 , 1)

∴ x = 3 and y = 4

- Substitute them in the equation

∵ $4=a.b^{3}$

∴ a.b³ = 4 ⇒ (2)

Use equation (1) to find a in terms of b

∵ a.b = 1

- Divide both sides by b

∴ $a=\frac{1}{b}$ ⇒ (3)

- Substitute a in equation (2) by equation (3)

∴ $\frac{1}{b}$ . b³ = 4

- Remember the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$

∵ $\frac{1}{b}$ . b³ = $b^{3-1}$ = b²

∴ b² = 4

- Take √ for both sides

∴ b = 2

Substitute the value of b in equation (3) to find a

∵ a = $\frac{1}{2}$

∴ a = 0.5

∴ $f(x)=0.5(2)^{x}$

∵ f(x) represents the number of bacteria after x minutes

∵ x = 9.9 minutes

- Substitute x by 9.9 to find the number of bacteria

∵ $f(9.9)=0.5(2)^{9.9}$

∴ f(9.9) = 477.7128917

- Round it to the nearest whole number

∴ f(9.9) = 478

∴ The number of bacteria in the dish after 9.9 minutes is 478

4 0

3 years ago

the angle of elevation from a viewer to the top of a flagpole is 50°. the viewer is 40 ft away and the viewers eyes are 5.5 ft f

Margarita [4]

Answer:

53.2 feet

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

$tan(50^o)=\frac{AC}{BC}$ -----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(50^o)=\frac{h}{40}$

solve for h

$h=(40)tan(50^o)$

$h=47.7\ ft$

therefore

The height of the pole is

$h+5.5=47.7+5.5=53.2\ ft$

3 0

3 years ago

Divide x5+15x4+54x3−25x2−75x−34 by x+8.

Wittaler [7]

we are given

$x^5+15x^4+54x^3-25x^2-75x-34$

divide by x+8

we can use long division

so, we will get

$Quotient=x^4+7x^3-2x^2 -9x-3$

$Remainder=-10$

we can also write it as

$\frac{x^5+15x^4+54x^3-25x^2-75x-34 }{x+8}=(x^4+7x^3-2x^2 -9x-3)-\frac{10}{x+8}$ ..............Answer

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3 years ago