Finding Inverses
Find an equation for the inve
3.
y = 3x + 2

Answer:

x=4, x=-10

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

As per Pythagorean theorem:

Solving we get positive root of:

Answer:

(i) a = 2

   b = -1

   c = -1

(ii) x= 1

Step-by-step explanation:

Step 1: Factorise

[tex]f(x) = 2(x^{2} -2x+\frac{1}{2})[/tex]  

Step 2: Use the complete square method.

[tex]f(x)=2(x^{2} -2x+(\frac{-2}{2})^{2} + \frac{1}{2} - (\frac{-2}{2})^{2} )[/tex]  

Step 3: Have it to [tex]a(x+b)^{2} +c[/tex]

[tex]f(x)=2((x-1)^{2} -\frac{1}{2} )\\ = 2(x-1)^{2} -1[/tex]

Line of symmetry:  

To find line of symmetry, we use -b/2a formula.

Based from [tex]2x^{2} -4x+1[/tex]:

a=2, b=-4

-b/2a = -(-4)/2(2) = 1

1. (-(2^(-3)))*(-(3^(-2.)))=0.01388888888

2. -294912

3. 16

Answer:

x = -25.

Step-by-step explanation:

If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.

f(g(x)) = -10x + 5, and x = 3.

-10 * 3 + 5

= -30 + 5

= -25.

Hope this helps!

Answer:

68.06 sq. feets

Step-by-step explanation:

Area of room's floor

11.33 × 7 = 79.33

Area of tiled floor

4.83 × 2.33 = 11.278

Area of floor needed to be carpeted

79.33-11.278= 68.06

Answer:

4.58 * 10 ^ -5

Step-by-step explanation:

0.0000458

Move the decimal 5 places to the right to get a number between 1 and less than 10

00004.58

That will give us an exponent of -5 ( the negative is because we moved it to the right)

4.58 * 10 ^ -5

━━━━━━━☆☆━━━━━━━

▹ Answer

4.58 * 10⁻⁵

▹ Step-by-Step Explanation

The decimal point is moved 5 times to the left, meaning the scientific notation will be negative. Therefore, the answer is 4.58 * 10⁻⁵.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Step-by-step explanation:

Hey, there !!

Let's simply work with it,...................

Here, theequation is,

[tex] {m }^{2} - 4 = 0 [/tex]

[tex]or \: {m }^{2} = 4[/tex]

[tex]or \: m = + - \sqrt{4} [/tex]

[tex]or \: m = + - \sqrt{ {2}^{2} } [/tex]

cancelling square and square root we get answer is,

= (+ - 2).

It means the value of m is plus(+) minus(-) 2.

Hope it helps...

Answer:

Step-by-step explanation:

5x = 21 and 21 = 5x are identical relationships, and so the solution would be the same in both cases.  (Commutative Property:  order of addition/subtraction is immaterial)

Answer:

18581.16

Step-by-step explanation:

The area of each of the shale can be calculated as

distance between each point = x

The area of the regular Dodecahedron

A = [tex]\sqrt[3]{25+10\sqrt{5} } a^{2}[/tex]

where a = number of edges = 30

hence the area of the regular dodecaheron = 18581.16

Answer:

y=2/3x

Step-by-step explanation:

2/3 is greater than 1/2. It doesn't matter if one of the slopes are negative.

Answer:

c random sample

Step-by-step explanation:

I may be wrong but When random sampling is used, each element in the population has an equal chance of being selected (simple random sampling) or a known probability of being selected (stratified random sampling).

Answer:

3 times the percent for the balance to be $221

Step-by-step explanation:

Answer:

2750

Step-by-step explanation:

825/30=27.5

27.5X100=2750

The total cost of the car will be $2,750.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

When Mr. Gree bought a used car he made a down payment of $825.

This was 30% of the total cost.

Let x be the total cost of the car.

Then the total cost of the car will be

30% of x = $825

0.30x = $825

x = $2,750

Then the total cost of the car will be $2,750.

More about the percentage link is given below.

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Hi there!

[tex]\large\boxed{m = 2}[/tex]

Since the line is increasing (the y-values are increasing as x increases), we can automatically eliminate any answer choice containing a negative slope.

Thus, the only correct answer choice would be m = 2.

We could also solve using the slope formula:

m = y2-y1/x2-x1

Plug in given points:

m = 3-1 / 0 - (-1)

m = 2 / 1 = 2

Answer:

c=5.9/6(G)

Step-by-step explanation:

first find the 2 distances.

a^2+b^2=c^2                    c=2.4+.7              

7^2+2.4^2=c^2                  c=3.1

.49+5.85=c^2                    

c^2=6.34

c=√6.34

c=2.51.

next subtract the two distances to find the difference.

c=2.51-3.1

c=.59

so the distance would be .59 which can be rounded up to .60/G

explanation on how I knew the answer.

Im reviewing for the math 8th grade staar.

Answer:

All Real Number greater than 0 or

(0, positive infinity)

Step-by-step explanation:

The range is all possible y values of a function. We can tell a range by looking at the lowest y vaule then going to the highest possible y value.

Look at the graph. There is a open circle at y=0. So this means we are not going to include 0 in our function. The graph approaches f(x) to positive Infinity so our highest y value is Infinity.

So we know that the function y values cannot be zero and it must be positive. So our range is

All Real Number greater than 0. Or

(0, positive infinity)

Answer:

c = 49

Step-by-step explanation:

Let c = number of cards originally

give away 8 cards

c-8

Now she has 41

c-8 = 41

Add 8 to each side

c-8+8 = 41+8

c = 49

Answer:

49

Step-by-step explanation:

In the end, if she now has 41 cards you have to do inverse operation. Since you subtracted to take away those 8 cards she gave away, you have to add back in 8 cards to the 41 if you want to find what she had before. So, 8 + 41 = 49

Hope this helps! :)

Answer:

[tex]y=4x-2[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

We're given that the slope is 4. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=4x+b[/tex]

Now, to determine the y-intercept, plug in the given point (1,2) and solve for b:

[tex]2=4(1)+b\\2=4+b\\b=-2[/tex]

Therefore, the y-intercept is -2. Plug this back into [tex]y=4x+b[/tex] as b:

[tex]y=4x+(-2)\\y=4x-2[/tex]

I hope this helps!

Answer:

8x²−6xy+20x−15y

Step-by-step explanation:

(4x−3y)(2x+5)

=(4x+−3y)(2x+5)

=(4x)(2x)+(4x)(5)+(−3y)(2x)+(−3y)(5)

=8x²+20x−6xy−15y

=8x²−6xy+20x−15y

Answer:

Line N is a vertical line with an undefined slope.

Step-by-step explanation:

When the points that line N passes through are graphed, they form a vertical line.

All vertical lines have an undefined slope.

We can also check if it's undefined by finding the slope.

[tex]m=\frac{-4-4}{-1+1}=\frac{-8}{0}[/tex]

The quotient would be undefined. You cannot divide by zero.

Hope this helps.

Answer:

Line N is a vertical line with an undefined slope.

Step-by-step explanation:

Did the quiz wanted to help people.

Answer:

3.1

3.2

3.3

3.4

3.5

3.6

Hope this answer correct :)

Answer:

[tex]\huge\boxed{Mass = 11600\ kg}[/tex]

Step-by-step explanation:

Given:

Density = ρ = 2900 kg/m³

Volume = V = 4 m³

Required:

Mass = m = ?

Formula:

Mass = Density × Volume

Solution:

Mass = 2900 * 4

Mass = 11600 kg

Answer:

False I think

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

sin(2x) = 2 ×cos(x)× sin(x)

● sin(x) = 2 × cos(x) × sin(x)

● 2 × cos(x) = 1

● cos (x) = 1/2

So we can deduce that:

● x = Pi/3 + 2*k*Pi

● or x = -Pi/3 + 2*k*Pi

K is an integer

The Solution of x:

x = π/3 + 2πn, where n is an integer.

x = 2π/3 + 2πn, where n is an integer.

In degrees:

x = 60° + 360°n, where n is an integer.

x = 120° + 360°n, where n is an integer.

To solve the equation sin(2x) = sin(x), we can use the properties of trigonometric functions.

First, let's simplify the equation using the double angle identity for sine:

sin(2x) = 2sin(x)cos(x).

Now we can rewrite the equation as:

2sin(x)cos(x) = sin(x).

2cos(x) = 1.

Dividing both sides of the equation by cos(x), we get:

2 = 1/cos(x).

Now, we can find the value of cos(x) by taking the reciprocal of both sides:

cos(x) = 1/2.

From the unit circle or trigonometric values,

we know that cos(x) = 1/2 corresponds to angles of π/3 or 2π/3 (in radians) or 60° or 120° .

So, the solutions for x are:

x = π/3 + 2πn, where n is an integer.

or

x = 2π/3 + 2πn, where n is an integer.

In degrees:

x = 60° + 360°n, where n is an integer.

or

x = 120° + 360°n, where n is an integer.

Learn more about Trigonometry here:

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Answer:

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

Answer:

please mark me brainlist

Step-by-step explanation:

p = proportion of residents qualified for discounts = 0.70

Sample size = 20

If X is the no of residences selected for discounts then x is binomial with (20,0.7)

P(X>=12) = 0.8867

Answer:

Sales goal, S = Q. 10,000

Step-by-step explanation:

Given the following data;

To find his daily sales goal;

[tex] \frac {20}{100} * S = 2000 [/tex]

[tex] 0.2 * S = 2000 [/tex]

Dividing both sides by 0.2, we have;

[tex] S = \frac {2000}{0.2} [/tex]

Sales goal, S = Q. 10,000

Answer:

Amadi is 86m far from Becky

Amadi is on the bearing of 78° .

Step-by-step explanation:

From the information given ,

let I represent Ikyume

A represent Amadi  and B represent Becky

From the information in the diagrammatic expression shown below:

Using cosine rule;

i² = a² + b² - 2ab cos (I)

i² = 42² + 62² - 2(42×62) cos (110°)

i² =  1764 + 3844 - 5208 (- 0.342)

i² =  1764 + 3844 -  ( - 1781.136)

i² = 1764 + 3844 + 1781.136

i² = 7389.136

i = [tex]\mathtt{\sqrt{7389.136}}[/tex]

i = 85.96

i [tex]\simeq[/tex] 86 m

Amadi is 86m far from Becky

From  point I , 12° = 12° at point A (alternate  angles)

In that quadrant = 90 - 12° = 78°

Therefore, Amadi is on the bearing of 78° .

The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points :

From the question given, we are told that Samantha scored 3 points for each of 18multiple questions his means that the total points made here is expressed as:

(3 × 18) ...1

If she got 5 points for each of the 6 short responsmultiple choice questione questions she answered

correctly, the total point made will be expressed as;

(5×6) ... 2

Total score for an additional 4 points for the bonus question will be "4"

Expression for her total score will be the sum of all the expression above as thus:

(3×18) + (5×6) + 4

Taking the sum, her score will be:

= (3×18) + (5×6) + 4

= 54 + 30 + 4

= 84 + 4

= 88 points

The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points

Learn more about sum here: brainly.com/question/16397188

Answer:

26 nickels

Step-by-step explanation:

Given that

Total contributed = $1.69

Number of coins = 5

based on the above information,

The number of nickels to be contributed is

Here first we have to determine the prime factors of 169 i.e 13 and 13

This represents that there are 13 member gives their $0.13 per person so it would be $1.69

Also there are 13 cents out of which 3 cents would be 3 pennies the remaining 10 cents would be 2 nickels

So the 13 people contributed to 2 nickels

Therefore,  it would be

= 13 × 2

= 26 nickels