Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answer:

C

Step-by-step explanation:

just took the unit test

Graph Y represents the inverse of function f.

In mathematics, the inverse function of a feature f is a function that undoes the operation of f.

To find the inverse of a function, write the function y as a function of x i.e. y = f(x) after which solve for x as a function of y.

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Answer:

[tex]\boxed{Mean = 14.16}[/tex]

Step-by-step explanation:

Observation = 13.5, 13.1, 17.5, 13.7, 13.0

No. of Observations = 5

=> Mean = [tex]\frac{SumOfObservations}{NumberOfObservations}[/tex]

=> Mean = [tex]\frac{13.5+13.1+17.5+13.7+13.0}{5}[/tex]

=> Mean = [tex]\frac{70.8}{5}[/tex]

=> Mean = 14.16

Observation = 13.5, 13.1, 17.5, 13.7, 13.0

and the Mean is: 14.16

Answer:

Step-by-step explanation:

Circumference of a circle is πd

where d is diameter

diameter is 13 yards

Circumference of the circle is

π × 13 yd

= 13π

= 40.8yd to one decimal place

Answer:

D

Step-by-step explanation:

Given

4(p - 4) > 12 ( divide both sides by 4 )

p - 4 > 3 ( add 4 to both sides )

p > 7 → D

Answer:

x = 20

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent, that is

∠ A = ∠ D , thus

3x - 10 = 2x + 10 ( subtract 2x from both sides )

x - 10 = 10 ( add 10 to both sides )

x = 20

Answer:

the 3rd answer choice is the correct one

Step-by-step explanation:

Let's actually find the inverse function:

1.  Replace 'f(x)' with 'y:'  y = 2x - 10

2. Interchange x and y:  x = 2y - 10

3.  Solve this result for y:  2y = x - 10, or  y =  (1/2)x - 5

Thus, the 3rd answer choice is the correct one.

Answer:

23 años

Step-by-step explanation:

Para resolver la situación, consideremos que x es la edad de la persona. Sabemos que dentro de seis años esta tendrá el doble de la edad que tenía hace cuatro años. La edad dentro de 6 años se puede expresar como x+6 y esto será igual al doble de la edad que tenía hace cuatro años, lo que se puede expresar como 2(x-4). De acuerdo a esto:

x+6=2(x-4)

x+6=2x-8

6+8=2x-x

x=14

Ahora que sabemos que la edad de la persona es 14 años, le sumamos 9 y esto da como resultado 23 y esta es la edad que la persona tendrá en 9 años.

Answer:

B. p > 12.80(160) + 8235.

Step-by-step explanation:

Since he wants to make a profit, the price he will need to receive for his crop will have to exceed his costs. So, the equation would use the > sign rather than the >= sign.

He harvests crops for $12.80 per acre, with 160 acres. That would be 12.80(160).

He is spending $8235, which adds to the costs of harvesting.

So, the answer will be B. p > 12.80(160) + 8235.

Hope this helps!

Answer:

53

Step-by-step explanation:

Step1: Converting 203 to base 10.

2*52=50

0*51=0

3*50=3

Adding all to get Answer=5310

Step2: Converting 5310 to 10

The equation calculation formula for 5310 number to 10 is like this below.

10|53

10|5|3

10|5|5

Answer:5310

Answer:

22

Step-by-step explanation:

The answer is 22. You solve the equation 3x+10=7x-6 like so

3x+10=7x-6

-3     = -3

    10= 4x-6

   +6         +6

     16=4x

      x=4

You then plug in the value of x to the equation for LM.

7x-6 becomes 7*4-6 which is 22.

Answer:

First, we find the square of the difference of the z values provided and sum them up giving us a value of 4.997956. We, therefore, calculate the sum of the sample mean given the number of samples to be 5 which gives us zero(0).

To calculate the standard deviation we use the formula that takes the square root of the inverse of the number of samples (n)*(the summation of the square of the difference between the sample and the mean which gives us 1.

*Step-by-step explaination

Given z3= -1.101, (z3 minus mean of z3)^2= 1.212201

Given z4= -0.944, (z4 minus mean of z4)^2=0.891136

Given z9= -0.157, (z9 minus mean of z9)^2= 0.024649

Given z14= 0.629, (z14 minus mean of z14)^2= 0.395641

Given z20= 1.573, (z20 minus mean of z20)^2= 2.474329

Therefore the summation of all Z values = Zero(0)

Also, the summation of (z values minus the mean of z values)^2= 4.997956

Therefore where n =5,

The sample mean of z values is given by the summation of z values divided by n = Zero (0)

To calculate standard deviation we use the formula that takes the square root of the inverse of the number of samples (n)*(the summation of the square of the difference between the sample and the mean which gives us 1.

Using it's concepts, it is found that:

In this problem, the observations are: -1.101, -0.944, -0.157, 0.629 and 1.573.

Hence:

[tex]M = \frac{-1.101 - 0.944 - 0.157 + 0.629 + 1.573}{5} = 0[/tex]

The mean of the z-scores is 0.

[tex]S = \sqrt{\frac{(-1.101-0)^2 + (-0.944-0)^2 + (-0.157-0)^2 + (0.629-0)^2 + (1.573-0)^2}{5}} = 1[/tex]

The standard deviation of the z-scores is 1.

A similar problem is given at https://brainly.com/question/24754716

Answer:

{ x : x = 2^n -1 , n ∈ N}

Where N is the set of natural numbers

Step-by-step explanation:

Mathematically, we can rewrite each term in the set as follows;

1 = 2^1 - 1

3 = 2^2 -1

7 = 2^3 -1

15 = 2^4-1

31 = 2^5-1

63 = 2^6 -1

so we can conclude that the nth term is 2^n -1

So writing this in set builder notation, we have;

{ x : x = 2^n -1 , n ∈ N}

Where N is the set of natural numbers

Answer:

The correct option is option (3) 4 ÷ 25.

Step-by-step explanation:

The expression in terms of m and n is:

[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]

Exponent rule of division:

[tex]a^{x}\div a^{y}=a^{x-y}[/tex]

Compute the value of the expression for m = -5 and n = 3 as follows:

[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]

[tex]F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}[/tex]

             [tex]=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}[/tex]

Thus, the correct option is option (3) 4 ÷ 25.

Answer:

4/25

Step-by-step explanation:

I just did the test

Answer:

  [tex]\sqrt[3]{5^7}[/tex]

Step-by-step explanation:

According to the rules of roots and exponents, ...

  [tex]\displaystyle \boxed{5^{7/3}=\sqrt[3]{5^7}}[/tex]

__

The denominator of the fractional exponent is the index of the root. The numerator of the fractional exponent can be applied inside or outside the root:

  a^(b/c) = (a^(1/c))^b = (a^b)^(1/c)

The answer will be 3 StartRoot 5 Superscript 7 Baseline EndRoot.

The 3 StarRoot of a number is the factor that we multiply by itself three times to get that number

The steps are as follow:

[tex][5^{7}]^\frac{1}{3} } = \sqrt[3]{5^{7} }[/tex]

So, 5 Superscript seven-thirds equivalents to 3 StartRoot 5 Superscript 7 Baseline EndRoot

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Answer:

b = -1

Step-by-step explanation:

5 ^ ( 3b-1) = 5 ^ ( b-3)

since the bases are the same, the exponents are the same

3b-1 = b-3

Subtract b from each side

3b-1-b = b-3-b

2b -1 = -3

Add 1 to each side3

2b-1+1 = -3+1

2b = -2

Divide by 2

2b/2 = -2/2

b =-1

Answer:

b = -1.

Step-by-step explanation:

Since the bases are the same (they are both 5), you can set 3b - 1 equal to b - 3.

3b - 1 = b - 3

3b - b = -3 + 1

2b = -2

b = -1

To make sure you are correct...

5^(3 * -1 - 1) = 5^(-1 - 3)

5^(-3 - 1) = 5^(-4)

5^(-4) = 5^(-4)

Since it matches up, you know that b = -1.

Hope this helps!

Answer:  x = -6, -1

Step-by-step explanation:

Factor

(x+6)(x+1)=0

To get 0 out of multiplication, you must have one term equal 0.  Thus, either x+6 or x+1 must equal 0.  Thus, x = -6,-1

Hope it helps <3

tyvm :)

Answer:

[tex]x=-1,\:x=-6[/tex]

Step-by-step explanation:

We can solve this question by applying a quadratic equation, but it would be easier to simply factor the equation. In other words, let's begin by factoring the expression [tex]x^2[/tex] + 7x + 6,

Break this expression down into groups - [tex]\left(x^2+x\right)+\left(6x+6\right)[/tex],

Factor out x from " [tex]\left(x^2+x\right)[/tex] " = [tex]{\quad }x\left(x+1\right)[/tex],

Respectively factor out 6 from " [tex]6x+6\mathrm{}[/tex] " = [tex]6\left(x+1\right)[/tex],

[tex]x\left(x+1\right)+6\left(x+1\right)[/tex] - and now we can group like terms - [tex]\left(x+1\right)\left(x+6\right)[/tex]

Since we have factored this expression, let's make it equivalent to 0, and solve for x. By the Zero Factor Principle we should receive two solutions,

[tex]\left(x+1\right)\left(x+6\right)=0[/tex],

[tex]x+1=0: x=-1[/tex] / [tex]x+6=0: x=-6[/tex],

The solutions to this equation should thus be : [tex]x=-1,\:x=-6[/tex]

Answer:

A. y is all real numbers.

Step-by-step explanation:

The range is the possible values that y can take

In this graph y goes from negative infinity to infinity so y can be all real numbers

Answer:

24

Step-by-step explanation:

96/2=48/2=24

Answer: C = -5

Step-by-step explanation:

You have to add two on both sides and the remove 2/3 on both sides. Hope this helps

<!> Brainliest is appreciated! <!>

[tex]\text{Solve for c:}\\\\\frac{8}{3c-2}=\frac{2}{3c-12}\\\\\text{Cross multiply}\\\\8(3c-12)=2(3c-2)\\\\24c-96=6c-4\\\\\text{Subtract 6c from both sides}\\\\18c-96=-4\\\\\text{Add 96 to both sides}\\\\18c=92\\\\\text{Divide both sides by 18}\\\\c=\frac{92}{18}\\\\\text{Simplify}\\\\\boxed{c=\frac{46}{9}}[/tex]

Answer:

There are 100³ = 1000000 cubic cm in one cubic meter so the answer is 0.1 / 1000000 = 1 / 10000000 = 0.0000001 cubic meters.

Answer:

The answer is A.

Step-by-step explanation:

In order to see if a coordinate is a solution to any equation, you have to substitute the values of x and y into the equation :

[tex] - 3x + 2y = - 21[/tex]

[tex]let \: x = 5 \\ let \: y = - 3[/tex]

[tex] - 3(5) + 2( - 3) = - 15 - 6 = - 21[/tex]

AND

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

[tex]let \: x = 5 \\ let \: y = - 3[/tex]

[tex] - 5 - ( - 3) = - 5 + 3 = - 2[/tex]

Answer:

None (0)

Step-by-step explanation:

x = x - 9

-x   -x

0 = -9

No solution

Answer:

Step-by-step explanation:

A graphing calculator can be helpful for questions of this nature. The attached shows the center is (-9, -7) and the radius is 5.

_____

You can separate the x- and y- terms and complete the square for each.

  (x^2 +18x) +(y^2 +14y) = -105

Do that by adding the square of half the linear term.

  (x^2 +18x +9^2) +(y^2 +14x +7^2) = -105 +81 +49

  (x +9)^2 +(y +7)^2 = 25

Compared to the standard form equation ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . center (h, k), radius r

We see that the given circle has a center of (-9, -7) and a radius of 5.

Answer:

Given : Few Distributions Mean & Standard Deviation.

To find : normal distribution which has the greatest standard deviation.

Solution:

=> Distribution 4 has the greatest standard deviation.

Graph at top has more spread hence more standard deviation.

Answer:

its A i just took the test

Step-by-step explanation:

i hope this helped ;)

Answer:

Step-by-step explanation:

The women of the Seneca Falls Convention choose to echo the language of the Declaration of Independence for multiple reasons including:

A) Evoke an emotional response- The Declaration of Independence is often referred to in important speeches as a way to remind Americans of the reasoning for why we became a free nation during the late 18th century.

B) Show that they deserve similar rights to men- The Declaration of Independence says that "all men" are created equal. The women of this convention changed that wording to say that all people are equally and deserve equal treatment in the eyes of the law.

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Answer:

They were declaring their own independence.

They were claiming that the declaration of independence applied to women as well as men.

They were pointing out that men claimed rights for themselves that were denied to women.

They were appealing to the patriotism and emotions of the public.

Step-by-step explanation:

edge 2020

Answer:

735

Step-by-step explanation:

Of means multiply

84% * 875

change to decimal form

.84* 875

735

Answer:

735

Step-by-step explanation:

a percent of any number is the decimal version of the percentage times the number.

84% = 0.84

We multiply it by the number and get 0.84*875 = 735

Answer:

An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.

See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?

July 10 book Science up55 down8

AA BB

CC DD

Step-by-step explanation:

Answer:

The answer is d. none of the above

Step-by-step explanation:

59= 1,59

62= 1, 2, 31, 62

Common factors= 1

HCF = 1

I hope this helps.

Answer:

7 is the right answer.

solution,

5x - 10 < 25

5x < 25 + 10

5x < 35

X < 35/5

X < 7

Hope this helps...

Good luck on your assignment..

Answer:

A. The constant term 12 represents the number of pizzas sold in an hour if 0 discount coupons are offered.

Step-by-step explanation:

Below is the complete question

What does the constant term in the above function represents?

A. The constant term 12 represents the number of pizzas sold in an hour if 0 discount coupons are offered.

B. The constant term 12 represents the maximum number of pizzas sold in an hour.

C. The constant term 12 represents the amount of additional pizzas sold for each additional discount coupon offered.

D. The constant term 12 represents the number of discount coupons offered in an hour.

Answer:

Should be 39 years.

there is 12 inches in a foot. and if the tree grows 4 inches every year, then in 3 years the tree would be 1 foot. 13 x 3 = 39, thus proving that in 39 years, it will be 13 feet tall. I may be wrong but this sounds correct.

Answer:

39 yr

Step-by-step explanation:

Convert "4 inches per year" to "feet per year:"

4 inches       1 ft

-------------- * --------- = (1/3) ft/yr

  1 year        12 in

Now we know the growth rate.  The time required to reach a certain height is

3 yr

-------- * 13 ft = 39 yr

 1 ft