Solve #13, Solve for X, please show work!

Answer: The slope is 5

Step-by-step explanation:

You can calculate the slope of the line with this fomula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Given the points (2,3) and (1,-2), you can identify that:

[tex]y_2=-2\\y_1=3\\x_2=1\\x_1=2[/tex]

Now, the final step is to substitute these values into the formula  [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], getting that the slope of this line is:

 [tex]m=\frac{-2-3}{1-2}[/tex]

[tex]m=\frac{-5}{-1}\\\\m=5[/tex]

Answer:

M = 5X

Step-by-step explanation:

use the slope of a line equation

[tex]m \: = \frac{y2 - y1}{x2 - x1} [/tex]

so plug in your x and y's

[tex] m = \frac{ - 2 - 3}{1 - 2} [/tex]

m = 5x

remember negative devided by negative is a positive. also dont forget to add your x at the end.

[tex]\bf f(x)=5x-x^2\qquad \qquad \lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h} \\\\[-0.35em] ~\dotfill\\\\ \lim\limits_{h\to 0}~\cfrac{[5(x+h)-(x+h)^2]~~-~~[5x-x^2]}{h} \\\\\\ \lim\limits_{h\to 0}~\cfrac{[5x+5h-(x^2+2xh+h^2)]~~-~~5x+x^2}{h}[/tex]

[tex]\bf \lim\limits_{h\to 0}~\cfrac{\begin{matrix} 5x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}+5h~~\begin{matrix} -x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}-2xh-h^2~~-~~\begin{matrix} 5x +x^2\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{h}\implies \lim\limits_{h\to 0}~\cfrac{5h-2xh-h^2}{h}[/tex]

[tex]\bf \lim\limits_{h\to 0}~\cfrac{\begin{matrix} h \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} ~~(5-2x-h)}{\begin{matrix} h \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\implies \lim\limits_{h\to 0}~5-2x-0\implies \lim\limits_{h\to 0}~5-2x[/tex]

Answer:

log_3(2x+15)=2  and log_4(-20x+4)=3

Step-by-step explanation:

Plug it in and see!

[tex]log_3(2x+15)=2\\log_3(2(-3)+15)=2\\log_3(-6+15)=2\\log_3(9)=2\\\text{ This is a true equation because } 3^2=9\\\\\\log_5(8(-3)+9)=2\\log_5(-24+9)=2\\log_5(-15)=2\\\\\text{ Not true because you cannot do log of a negative number }\\\\log_4(-20(-3)+4)=3\\log_4(64)=3\\\text{ this is true because } 4^3=64\\\\\\log_x (81)=4\\log_{-3}(81)=4\\\text{ the base cannot be negative }\\\\\\\\\text{ There is only two options here} \\\\log_3(2x+15)=2 \text{ and } log_4(-20x+4)=3[/tex]

Answer:

A and C

Step-by-step explanation:

Answer:

[tex]\boxed{2a+3-b}[/tex]

Step-by-step explanation:

Distributive property:

    ↓

A(B+C)=AB+AC

Remove parenthesis first.

7-(a-b)-4+3a-2b

(-a-b)=-a+b

7-a+b-4+3a-2b

Simplify, to find the answer.

7-a+b-4+3a-2b

Group like terms:

 ↓

-a+3a+b-2b+7-4

Add numbers from left to right.

-a+3a=2a

2a+b-2b+7-4

b-2b=-b

2a-b+7-4

Adding and subtracting numbers from left to right.

7-4=3

2a+3-b

[tex]2a+3-b[/tex], which is our answer.

Answer:

3 +2a -b

Step-by-step explanation:

7-(a-b)-4+(3a-2b)

Distribute the minus

7 -a +b -4 +3a-2b

Combine like terms

7-4  -a +3a +b-2b

3 +2a -b

Answer:

It is the third option.

Step-by-step explanation:

First, the shaded part is above the line, so there must be a y>, ruling out two of our options. so now, the slope of the line is the only missing item. Use the points (0,3) and (3,5). m=(y2-y1)/(x2-x1), so m = -2/-3, which simplifies to 2/3. Therefore, y>2/3x + 3 is your answer.

Hope this helps!

Answer:

The price is $1.6 per square foot of the land

Step-by-step explanation:

step 1

Find the area of the plot of land

we know that

The area of the plot of land is equal to the area of trapezoid 1 plus the area of trapezoid 2

see the attached figure to better understand the problem

Remember that

The area of a trapezoid is equal to

[tex]A=\frac{1}{2}[b1+b2]h[/tex]

Find the area of trapezoid 1

we have

[tex]b1=125\ ft[/tex]

[tex]b2=265\ ft[/tex]

[tex]h=260-150=110\ ft[/tex]

substitute

[tex]A1=\frac{1}{2}[125+265](110)[/tex]

[tex]A1=21,450\ ft^{2}[/tex]

Find the area of trapezoid 2

we have

[tex]b1=150\ ft[/tex]

[tex]b2=265\ ft[/tex]

[tex]h=150\ ft[/tex]

substitute

[tex]A2=\frac{1}{2}[150+265](150)[/tex]

[tex]A2=31,125\ ft^{2}[/tex]

The area total of the land is

[tex]A=A1+A2[/tex]

[tex]A=21,450+31,125=52,575\ ft^{2}[/tex]

step 2

Find the price per square foot of the land

Divide the total cost by the total area

[tex]\frac{84,120}{52,575}=1.6\frac{\$}{ft^{2}}[/tex]

Answer:

Step-by-step explanation:

Distribute...

6x^2-3x-6x+3

6x^2-9x+3 is the expanded equation

The solution....

(3x-3)=0

(2x-1)=0

3x=3

2x=1

x=1

x=1/2

The function a(z) = 2z - 7 transforms into a(x + 1) = 2x - 5 when z is replaced with the quantity (x + 1)

The question given has a mathematical function defined as a(z) = 2z - 7. The problem is asking what the function would look like if instead z is replaced by quantity (x+1).

To solve this, replace z in the function with (x+1). As such, instead of multiplying z by 2, we are now multiplying (x+1) by 2. The equation would stand as a(x + 1) = 2(x+1) - 7. Distribute the 2 in the parenthesis, the equation simplifies to a(x + 1) = 2x + 2 - 7.

Therefore, a(x + 1) = 2x - 5 is the function when z is replaced with quantity (x + 1).

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To find a(x) when a(z) = 2z - 7, we replace z with (x+1) in the expression for a(z). Simplifying, we get a(x+1) = 2x - 5.

To find a(x) when a(z) = 2z - 7, we replace z with (x+1) in the expression for a(z). This gives us:

a(x+1) = 2(x+1) - 7

Simplifying, we get the values as -

a(x+1) = 2x + 2 - 7

a(x+1) = 2x - 5

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Answer:

n-8

Step-by-step explanation:

Let

n ----> the number

we know that

To find the difference of a number and 8, subtract  8 from the number

so

n-8

Answer:

[tex]r \parallel s[/tex] by the Converse of the Alternate Interiors Angles Theorem.

Step-by-step explanation:

Remember that two lines are parallel if their angle of direction is the same.

So, in this case we know that [tex]m\angle 3 = m\angle 6[/tex], where [tex]\angle 3[/tex] is the direction of [tex]r[/tex] and [tex]\angle 6[/tex] is the direction of [tex]s[/tex].

Therefore, [tex]r \parallel s[/tex] by the Converse of the Alternate Interior Angles Theorem, which states that if two lines are cut by a transversal and the alternate interior angles are congruent, then those lines are parallel.

Answer:

(f - g)(x) = 37 - x

Step-by-step explanation:

(f - g)(x) = (27 +3) - (x - 7)

            = 27 + 3 - x + 7

            = 37 - x

Answer:

Step-by-step explanation:

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

We have f(x) = 27x + 3 and g(x) = x - 7. Substitute:

(f - g)(x) = (27x + 3) - (x - 7)

(f - g)(x) = 27x + 3 - x - (-7)

(f - g)(x) = 27x + 3 - x + 7             combine like terms

(f - g)(x) = (27x - x) + (3 + 7)

(f - g)(x) = 26x + 10

Answer:

D and E

Step-by-step explanation:

because the rule to make triangle is

a<b+c with a, b and c is the side of the triangle

Answer:

Step-by-step explanation:

I just did it nothing to explain :D

You didn't give us the choices.   It doesn't matter.  I think you're trying to write

[tex]\displaystyle {6 \choose 4} (2x)^2 (-y^2)^4 [/tex]

[tex] = \dfrac{6!}{4! 2!} ( 4x^2 y^8)[/tex]

[tex] = \dfrac{6(5)}{2} ( 4x^2 y^8)[/tex]

[tex] =60x^2 y^8[/tex]

Answer: 60 x² y⁸

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression can be simplified as,

⁶C₄ (2x)² (-y²)⁴

The value of the combination can be written as,

= [6!/4!(6-4)!]  (2x)² (-y²)⁴

= 15 (4x²)  (-y²)⁴

The value of y can be written as,

= 15 (4x²)  y⁸

= 60 x²y⁸

Hence, the value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.

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Answer:

C. 4.5

Step-by-step explanation:

Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about 4.5 volts at wide-open throttle (WOT).  

Answer:C. 4.5

Step-by-step explanation:

Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about _______ volts at wide-open throttle (WOT).  

C. 4.5

Answer:

The correct answer is C.

Step-by-step explanation:

When you multiply a real function by -1 you only change its sign in all the domain of definition. The positive part becomes negative, and the negative values becomes positive and the zeros are unaltered. So, it is no difficult to see that the multiplication by -1 is equivalent to make a reflection with respect to the x - axis.

Answer:

Maybe 13

Step-by-step explanation:

Im not sure from the answer

Answer:

B

Step-by-step explanation:

Use the distance formula, that is

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 3, - 2) and (x₂, y₂ ) = (0, 0)

d = [tex]\sqrt{(0+3)^2+(0+2)^2}[/tex]

  = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]

Answer:

No

Step-by-step explanation:

For a right triangle, a^2+b^2=c^2 EVERY time.

a and b are always smaller than c, so 7 and 12 are a and b, and 17 is c:

7^2+12^2 ?= 17^2

49+144 ?= 289

193 != 289

Therefore, these can't be the set of lengths for a right triangle

Answer:

These set of lengths cannot be the side lengths of a right angled triangle.

Step-by-step explanation:

Pythagoras Theorem is always followed by a right angled triangle. According to which the sum of squares of the two shorter legs is equal to the square of the longest leg.

[tex]a^2=b^2+c^2[/tex]

So here, 17 is the longest leg and 7 and 12 the shorter ones.

Applying Pythagoras Theorem to these lengths to find out.

[tex]17^2=7^2+12^2[/tex]

[tex]289\neq 193[/tex]

Therefore, these set of lengths cannot be the side lengths of a right angled triangle.

Answer:

250 tickets

Step-by-step explanation:

This week, the tickets sold was 300.

The # of tickets sold this week was 120% of last weeks ticket sales.

To find out the number of tickets sold last week, first convert 120% into a decimal.

120% = 1.2

Now, divide 300 [tickets sold this week] by 1.2.

If you do this, you get 250.

That means 250 tickets were sold last week.

To double check our answer, break down 120% again, but this time, differently.

100% + 20% = 120%

100% = 1

20% = 0.2

Now, multiply 250 by 1.

250 x 1 = 250.

Now multiply 250 by 0.2

250 x 0.2 = 50.

250 + 50 = 300

So, the amount of tickets sold last week is 250. I hope this helps! :)

11+9=20

(11)^2-(9)^2=40

121-81=40

40=40

they paid 30, 10 + 10 + 10.

the manager refunded them 5, 30 - 5 = 25.

the bellboy took 2, gave them 3 only.

since the bellboy gave only 3 to friends, then they paid 10 + 10 +10 - 3 = 27, if we include the 2 the bellboy kept, then that makes it 27 - 2 = 25.

we're not adding the $2 kept by the bellboy, we're subtracting it from the $27.

Answer:

Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the left.

Step-by-step explanation:

The solid line shows it is greater than or equal to. Shade to left of vertical line if less than and right of it if greater than.

Answer:

A graph of a solid vertical line 2 units to the right of the origin with everything shaded to the right.

Step-by-step explanation:

The inequality x≤ 2 means that for any coordinate picked to the left of the line x=2 including 2 satisfies the argument for x. The less than or equal to sign means the value of x is 2 or less.

If for example you pick (2,5) or even (-1,150), the x coordinate satisfies the inequality.

Answer:

Step-by-step explanation:

If you spend 5/6 of your wages, you'll have 1/6 of your wages left, hopefully to be placed into your savings account.

If your wages are $60, you'd have 1/6 of that, or $10, left.

                             $120,                                            $20.

                              $180,                                            $30

                               $300,                                           $50

[tex]3\cdot3\cdot4\cdot4=144[/tex]

Answer:  3.50x + 4.00y ≤ 45

                0 < y < 11.25

Step-by-step explanation:

[tex]3.50x + 4.00y \leq 45\\\\\\\text{Subtract 3.50x from both sides:}\\4.00y\leq -3.50x+45\\\\\\\text{Divide everything by 4.00 (to isolate y):}\\\dfrac{4.00y}{4.00}\leq \dfrac{-3.50x}{4.00}+\dfrac{45}{4.00}\\\\\\y\leq-0.875x+11.25\\\\\\\text{Both x and y must be greater than zero, so:}\\0<y<11.25[/tex]

It would take 7 hours.

If you are going at 45 miles per hour, you need to find out how much 45 goes into 315.

To deduce this, divide 315 by 45.

315/45=7

It would take 7 hours.

Hope this helps!

Answer:

7 hours

Step-by-step explanation:

Write it out like a ratio X/315 = 1/45

Let X be hours

Cross multiply 315 x 1

and 45 x X -------> this gives you 315 = 45X

Then simply divide both sides by 45 and you get 7 hours

Answer:

The height the tree was when brought

input value: 0

Output value: 62

Step-by-step explanation:

The initial value represents the height, the tree was when bought.

Given that,

Based on this, we can say that the initial value defines the height basically the tree at the time of purchased.

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Same side interior angles are supplementary, which means together they add up to 180 degrees.

In order to find the value of angle m, subtract 180 from the supplement.

180 - 78 = 102

The value of m is 102 degrees

Answer:

C.m=102

Step-by-step explanation:

The two angles are alternate interior angle, those angles add up to 180, 180-78=102. The answer is c

Answer:

$120,000

Step-by-step explanation:

It's easy ,

all you got to do is just minus $300,000  from $180,000  so it'll be :

$300,000 − $180,000 = $120,000  

$120,000 Will be your answer !

Answer:

$120,000

It's easy ,

all you got to do is just minus $300,000  from $180,000  so it'll be :

$300,000 − $180,000 = $120,000  

$120,000 Will be your answer !

Step-by-step explanation: