if f(x) = -3x+4 and g(x) =2, solve for the value of x for which f(x) = g(x) is true

Answer:

never occur at the same time

Step-by-step explanation:

In Statistics, two events that are mutually exclusive never occur at the same time. For instance, in tossing a coin we can either land heads or tails but not both. The two events are said to be mutually exclusive.

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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Answer:

Step-by-step explanation:

radius=4 as it is tangent to x-axis.

y co-ordinate of center is 4 so radius=4

eq. of circle is (x-2)²+(y-4)²=4²

or x²-4x+4+y²-8y+16=16

or x²+y²-4x-8y+4=0

Final answer:

The standard equation of a circle tangent to the x-axis with center (2,4) is (x - 2)² + (y - 4)² = 16.

Explanation:

To write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4), we must recognize that the distance from the center of the circle to the x-axis is equal to the radius of the circle. Since the center is at (2,4), the distance to the x-axis (which is y=0) is 4 units; thus, the radius of the circle is 4.

The standard form of the equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r². Substituting the given center (2,4) and the radius 4 into this formula, we get:

(x - 2)² + (y - 4)² = 4²

Simplifying the radius squared term, we obtain the final equation:

(x - 2)² + (y - 4)² = 16

11+9=20

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

121-81=40

40=40

Answer:

AC= 10

Step-by-step explanation:

If AB is equal to 20 and C is the midpoint (meaning half of the segment), then you simply divide 20 by 2 which equals to 10.

Look at the image below for a drawing of the segment.

We know that the midpoint divides the segment in half. Which means that the length of the whole segment divided by 2 is equal to the length of one part of the segment

AC = AB / 2

AC = 20 / 2

AC = 10

Hope this helped!

~Just a girl in love with Shawn Mendes

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

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.

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:

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!

C because if you divide the angle minus the feet you get 120

The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet is 120.7 feet.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

A portion of a hiking trail slopes downward at about an 84° angle.

The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet

cos θ=adjacent/hypotenuse

Let h be the hypotenuse, adjacent =120 ft, θ = 84°,

cos 84 = 120/h

h = 120/cos 84

h = 120 / 0.10 ft

h = 120.7 ft

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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:

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]

Step-by-step Answer:

Given points: P1(-3,2), P2(6,2)

Slope given two points = (y2-y1)/(x2-x1)

= (2-2)/(6-(-3))

=0/9

= 0

Answer:

Slope = 0

Step-by-step explanation:

We are given the following points and we are to find the slope of the line which passes through these points:

[tex] ( – 3 , 2 ) [/tex] and [tex] ( 6 , 2 ) [/tex]

We know that the formula of the slope is given by:

Slope = [tex] \frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 } [/tex]

Slope = [tex] \frac { 2 - 2 } { 6 - (- 3 )} = \frac { 0 } { 9 } [/tex] = 0

The difference of polynomials  (12x²-11y²-13x)-(5x²-14y²-9x) is 7x² +3y²-4x

Polynomials are sum of terms of the form kxⁿ , where k is a constant and n is any positive integer.

it is given in the question

To find the difference of the polynomials

(12x²-11y²-13x)-(5x²-14y²-9x)

to add or subtract a polynomial we subtract the like terms with same variable .

12x²-11y²-13x -5x²+14y²+9x

7x² +3y²-4x

Therefore the difference of polynomials  (12x²-11y²-13x)-(5x²-14y²-9x) is 7x² +3y²-4x .

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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.

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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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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[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:

The Choice N#1 will give more pizza for your money

Step-by-step explanation:

step 1

Find the area of one slice Choice #1

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=22/2=11\ in[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

The area of one slice is equal to

[tex]A=(1/8)\pi r^{2}[/tex]

substitute

[tex]A=(1/8)(3.14)(11)^{2}[/tex]

[tex]A=47.4925\ in^{2}[/tex]

Divide the cost by the area

[tex]4.95/47.4925=0.10\frac{\$}{in^{2}}[/tex]

step 2

Find the area of the entire personal pizza Choice # 2

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=6/2=3\ in[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

substitute

[tex]A=(3.14)(3)^{2}[/tex]

[tex]A=28.26\ in^{2}[/tex]

Divide the cost by the area

[tex]3.75/28.26=0.13\frac{\$}{in^{2}}[/tex]

therefore

The Choice N#1 will give more pizza for your money

Answer:

[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]

Step-by-step explanation:

Here we are supposed to find the distance between the two coordinates in a plane. The coordinates given to us are

(5,1) and (9,-6)

We can find the distance using distance formula. The distance formula is given as

[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]

Where

[tex](x_{2},y_{2}) ; (x_{1},y_{1})[/tex]

are the two coordinates

Hence

[tex]x_{2} = 9 ; y_{2}= -6\\x_{1}=5; y_{1}=1[/tex]

Substituting these values in the distance formula we get

[tex]D=\sqrt{(9-5)^{2} +(-6-1)^{2}}\\D=\sqrt{(4)^{2} +(-7)^{2}}\\D=\sqrt{16+49}\\D=\sqrt{65}\\[/tex]

Hence the Distance is  [tex]D=\sqrt{65}\\[/tex]

s = number of students books

we know there are many student's books, so since there are "s", and each one weights 2.3 kgs, then all together must weight 2.3s, now the teacher's edition is just 1 alone so that's just 4.3 kgs.

[tex]\bf \stackrel{\stackrel{total}{weight}}{30}~~=~~\stackrel{students'}{2.3s}+\stackrel{teacher's}{4.3}+\stackrel{box's}{0.4}\implies 30=2.3s+4.7 \\\\\\ 30-4.7=2.3s\implies 25.3=2.3\implies \cfrac{25.3}{2.3}=s\implies 11=s[/tex]

Answer:

C. 120°

Step-by-step explanation:

m∠d = 150°

m∠ a = 90°

The sum of angles at a point add up to 360°

m∠b + m∠c +m∠e = 360° - (90° + 150°) = 120°

Answer:

c 120

Step-by-step explanation:

m∠d = 150°

m∠ a = 90°

The sum of angles at a point add up to 360°

m∠b + m∠c +m∠e = 360° - (90° + 150°) = 120°

Answer:

The first choice, 8.64 sq. ft.

Step-by-step explanation:

Formula for area of triangle:

(Length x Height) / 2

4.8 * 3.6 = 17.28

17.28 / 2 = 8.64

A = 8.64 sq. ft. so, the first choice

Answer:

8.42ft square

Step-by-step explanation:

Base × height/2

base=4.8ft

height =3.6ft

4.8 × 3.6= 17.28

17.28/2=8.64ft

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( 5^{\frac{3}{2}} \right)^{-\frac{2}{3}}\implies 5^{-\frac{3}{2}\cdot \frac{2}{3}}\implies 5^{-1}\implies \cfrac{1}{5}\implies 0.2 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf (256^{0.5})^{1.25}\implies [(2^8)^{0.5}]^{1.25}\implies [2^{8\cdot 0.5}]^{1.25}\implies [2^4]^{1.25}\implies 2^{4\cdot 1.25} \\\\\\ 2^5\implies 32 \\\\[-0.35em] ~\dotfill\\\\ ( 81^{-\frac{1}{6}} )^{\frac{3}{2}}\implies [(3^4)^{-\frac{1}{6}} ]^{\frac{3}{2}}\implies 3^{4\cdot -\frac{1}{6}\cdot \frac{3}{2}}\implies 3^{-\frac{12}{12}}\implies 3^{-1} \\\\\\ \cfrac{1}{3}\implies 0.33...[/tex]

Answer:

Step-by-step explanation:

Answer:

the answer is doubling the square on anywhere brainiest pls

Step-by-step explanation:

Answer:

A≈38.48ft²

C≈21.99ft

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

The area is 38.5 ft² and the circumference is 21.99 or 22 ft

Step-by-step explanation:

Find the area and the circumference of a circle with diameter 7 ft,

first,  Area of a circle is πr² or πd

D = 2r

7 = 7/2 = 3.5

π = 22/7

Area = πr²

A = 22/7 × (3.5)²

A = 22/7 × 12.25

A = 269.5/7

A = 38.5 ft²

Circumference of a circle is 2πd

C = 22/7 × 7

C = 154/7

C = 21.99

approximately 22.

Hope this helps!

Answer:

C. 11, 1

Step-by-step explanation:

I could have sworn I already answered this. Oh well. I guess I can answer it again. Simply plug in -3 and 3 for x, then find the absolute value [ALWAYS POSITIVE].

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