Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Answer:

The output is 5

Step-by-step explanation:

y=x+2,

Let x =3

y = 3+2

y = 5

The output is 5

Answer:

5

Step-by-step explanation:

We are given the relation:

y=x+2

The input is also called "x", and the output is also known as "y". We want to find the output, or y, when x is equal to 3.

Therefore, we must substitute 3 in for x and solve.

y= x+2 at x=3

y=3+2

Add 3 and 2.

y=5

If the relation is y=x+2 and the input is 3, then the output is 5.

please help me with my homework

Answer:

Step-by-step explanation:

coordinate of O(2,1),Y(3,-2),T(-3,-3)

let the reflected points are O',Y',T'

distance of O from y=2 is 1 unit.

∴ ordinate of O' =1+2(1)=3

or O' is (2,3)

distance of Y from y=2 is2+2=4

ordinate of Y'=-2+2(4)=6

so coordinate of Y' is (3,6)

distance of T from y=2 is (2+3)=5

so ordinate of T' =-3+2(5)=7

coordinate of T' is(-3,7)

Answer:

B

Given equation: [tex]x^2 = -8x -7[/tex]

To solve the quadratic equation, we will need to set one side of the equation equal to 0. This can be done by subtracting x² on both sides.

[tex]\implies x^2 - x^2= -8x -7 - x^2[/tex]

[tex]\implies 0= -8x -7 - x^2[/tex]

To further simplify, we can factor -1 from the expression on the R.H.S. Then, we can cancel the -1 since there is a 0 on the other side.

[tex]\implies 0= -1(8x + 7 + x^2)[/tex]

[tex]\implies 0= 8x + 7 + x^2 = x^2 + 8x + 7[/tex]

Finally, factor the expression on the right hand side.

Factoring a quadratic equation can be done in 2 ways.

In this method, we split the middle term into two suitable terms. The suitable terms must follow two conditions.

Then, we factor the first two terms of the expression and the last two terms of the expression. Eventually, we will get a common expression. So, we can further factorize to get a product of two expressions.

In this method, we will compare our equation with the standard form equation to determine the a, b, and c variables. Then, we plug the variables into the formula and simplify to get the roots (solutions).

[tex]\text{Quadratic Formula:} \ \dfrac{-b\ \± \sqrt{b^{2} - 4ac} }{2a}[/tex]

We can use any method to solve for the roots. First, let us check whether the middle term could be split into two suitable terms such that those terms could meet the criteria stated above.

-----------------------------------------------------------------------------------------------------

We can see that 8x is the middle term and it can be split into the sum of 7x and x. The product of the (middle term) coefficients is 7. The product of the coefficients (first and last terms) is also 7. Since both products match, we can use the splitting method to factorize the expression.

[tex]\implies 0= x^2 + 8x+ 7[/tex]

[tex]\implies 0= x^2 + x + 7x+ 7[/tex]

Now, factor the first two terms and the last two terms separately.

[tex]\implies 0= x^2 + x + 7x+ 7[/tex]

[tex]\implies 0= x(x + 1) + 7(x+ 1)[/tex]

We can see a common expression. Finally, let us factor the common expression to get a product of two expressions.

[tex]\implies 0= (x + 7)(x + 1)[/tex]

Since the factorized expression equals to 0, we can set each expression (inside the parentheses) equal to 0.

[tex]\implies x + 7 = 0; x + 1 = 0[/tex]

[tex]\implies x = -7; x = -1[/tex]

Now, let us try to solve using the Quadratic formula.

[tex]0= x^2 + 8x+ 7[/tex]

Tip: Standard form: 0 = ax² + bx + c

Comparing both equations will allow us to determine the a, b, c variables.

⇒ a = 1; b = 8; c = 7

Now, let us plug these values into the quadratic formula and simplify.

[tex]\implies \dfrac{-b\ \± \sqrt{b^{2} - 4ac} }{2a}[/tex]

[tex]\implies \dfrac{-8\ \± \sqrt{8^{2} - 4(1)(7)} }{2(1)}[/tex]

[tex]\implies \dfrac{-8\ \± \sqrt{64 - 28} }{2}[/tex]

[tex]\implies \dfrac{-8\ \± \sqrt{36}}{2} = \dfrac{-8\± 6}{2} = \dfrac{-8 + 6}{2},\ \dfrac{-8 - 6}{2} = \dfrac{-2}{2} ,\ \dfrac{-14}{2} = -1 , -7 \ \text{(B)}[/tex]

Therefore, in both methods, the answer is -1, -7 (B).

Learn more about quadratic formula: brainly.com/question/22364785

Learn more about splitting method: brainly.com/question/13874704

Answer:

Letter B because it is less than. < is less than

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

c < 27.50

The sign < means less than.

Plug the numbers in and you've got:

The cost is less than $27.50

Good luck mate :)

Answer:

0

because -8 powered 2 and -8 powered 2 is same. 64-64=0

Step-by-step explanation:

Answer:

i believe the answer is A

Step-by-step explanation:

(-6,2)

Inbox me on fb for more help with math same name as my brainly

Answer:

(-6,2)

Step-by-step explanation:

Greetings from Brasil...

According to the statement, one figure is scaled in relation to another, so we can apply similarity to polygons.....

So

BIG/small = BIG/small

or

small/BIG = small/BIG

27/X = 45/35

OR

35/45 = X/27

27/X = 45/35

45X = 27·35

45X = 945

X = 945/45

Answer: find the answer in the explanation

Step-by-step explanation:

Given the function and its parent function, to describe the

transformation of g(x) = 1/3x^2

First sketch the graph of the parent function which is g(x) = x^2

For every value of x, g(x) will take the value it would have had at kx, that is, the graph of g(x) = x^2 is stretched by a factor of 1/3 in the x - direction.

Find the attached files for the graph and solution

Step-by-step explanation:

(6x^3 + 3x² + 3) + (2x^3 - 5x + 1)

6x^3 + 2x^3 = 8x^3

3x^2 + 0 = 3x^2

-5x + 0 = -5x

3 + 1 = 4

8x^3 + 3x^2 - 5x + 4 is the answer because you have to put all the terms that were solved together. This will lead to 8x^3 + 3x^2 - 5x + 4. And, standard form is ax^2 + bx + c. So, 8x^3 + 3x^2 - 5x + 4 is the answer.

8x^3 + 3x^2 - 5x + 4

Hope this helped,

Kavitha

Answer:

= 8x³ + 3x² - 5x + 4

Step-by-step explanation:

(6x³ + 3x² + 3) + (2x³ - 5x + 1)

= 6x³ + 3x² + 3 + 2x³ - 5x + 1    remove parentheses

= 6x³ + 2x³ + 3x² - 5x + 1          group like terms

= 8x³ + 3x² - 5x + 3 + 1              add similar elements

= 8x³ + 3x² - 5x + 4

Answer:

-3x+10y

Step-by-step explanation:

Given the expression [tex]-4\left(2x-y\right)+y+5\left(x+y\right)[/tex], we are to simplify by combining the like terms. On simplification we have;

[tex]= -4\left(2x-y\right)+y+5\left(x+y\right)[/tex]

Open the parenthesis:

[tex]= -4(2x)-4(-y)+y+5(x)+5(y)\\\\= -8x+4y+y+5x+5y[/tex]

Collect the like terms:

[tex]= -8x+5x+4y+y+5y[/tex]

Sum up the resulting expression

[tex]= -8x+5x+4y+y+5y\\= -3x+10y[/tex]

Hence the required expression on simplification is -3x+10y

Answer:

14

Step-by-step explanation:

(multiply 2by7)

2×7

=14

Your question has been heard loud and clear.

Slope formula when two points are given= y2-y1/x2-x1

Here y2= 2

X2=2

Y1= -4

X1= -1

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

Slope of line= 2

Thank you.

Answer:

[tex]\huge \boxed{\mathrm{B. \ 2}}[/tex]

Step-by-step explanation:

The line crosses two points.

The two points are (-1, -4) and (2, 2).

The slope of a line can be found through two points.

[tex]\displaystyle \sf slope = \frac{rise}{run}[/tex]

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

[tex]y_2=2 \\ y_1 = -4 \\ x_2=2 \\ x_1=-1[/tex]

Plug in the values and evaluate.

[tex]\displaystyle m=\frac{2-(-4)}{2-(-1)}[/tex]

[tex]\displaystyle m=\frac{2+4}{2+1}[/tex]

[tex]\displaystyle m=\frac{6}{3}[/tex]

[tex]m=2[/tex]

The slope of the line is 2.

Answer:

A. Third quartile – First quartile

Step-by-step explanation:

The interquartile range is found by taking the third quartile minus the first quartile.  It is also found by taking the right side of the box in a box  and whisker plot and subtracting the left side of the box  in a box  and whisker plot

Answer: (-5)¹¹ of (-5)^11

Step-by-step explanation:

Since the base of the two exponents are teh same at -5, we can subtract the exponents.

5-(-6)=11

Now, we know that the new exponent will be 11, with the base staying the same.

Answer:

12

Step-by-step explanation:

We are given the expression:

[tex]\frac{5z+x^2}{x}[/tex]

and asked to evaluate when x= 5 and z=7. Therefore, we must substitute 5 for x and z for 7.

[tex]\frac{(5(7)+(5)^2)}{5}[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, evaluate the exponent.

(5)²= 5*5= 25

[tex]\frac{(5(7)+25)}{5}[/tex]

Next, multiply 5 and 7.

5*7=35

[tex]\frac{(35+25)}{5}[/tex]

Next, add 35 and 25.

25+25=60

[tex]\frac{60}{5}[/tex]

Finally, divide 60 by 5.

[tex]12[/tex]

The expression (5z+x²)/x when x=5 and z=7 is 12.

idek

-=-=-=--=-==-=-=-=-=-=-=-=-=-=-=-===========-----------------==============================================------------------------------------------------------====================================-----------==================--===================================--------------------------------------------------==========--------------------========----------------------------------------------------================-------------=====-=-=-=-=-==-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

Answer:

x = 34

Step-by-step explanation:

x/3  - 7/3 = 9

Combine like terms

(x-7)/3 = 9

Multiply each side by 3

(x-7)/3 * 3 = 9*3

x-7 = 27

Add 7 to each side

x-7+7 = 27+7

x = 34

Answer:

r = 5 cm

Step-by-step explanation:

A = πr²

78.53 = (3.14)r²

divide by 3.14

25 = r²

r = ±5

r = 5

Answer:

(A) 139°

Step-by-step explanation:

What we are trying to find here is the distance between -27 and 112.

To do this, we have to think of it as a number line.

The distance from -27 to 0 is 27 units, and the distance from 0 to 112 is 112 units.

So the total distance is [tex]112+27=139[/tex]

Hope this helped!

Answer:

l = 15 and w = 25

Step-by-step explanation:

[tex]l - w = - 10[/tex]

[tex]l + w = 40[/tex]

Adding both equations

[tex]2l = 30[/tex]

[tex]l = 15[/tex]

subtracting both equation

[tex]2w = 50[/tex]

[tex]w = 25[/tex]

Hope it helps..........

BRAINLIEST PLEASE

Answer:

Length=30 Width=10

Step-by-step explanation:

Answer:

24 1/2

Step-by-step explanation:

Every 1/2 is 2 gallons.

1/2 x 2 gallons = 4 gallons.

The whole number in 6 1/2 is 6.

1 x 6 = 6.

Now, we multiply 6 by 4 because each 1 = 4 gallons.

6 x 4 = 24.

There is still an 1/2 left in 6 1/2.

You add that.

Your answer is 24 1/2.

Hope this helps you!

Answer:

230 capsules.

Step-by-step explanation:

The following data were obtained from the question:

Taste >>>>>>>>>>> Frequency

Volluto >>>>>>>>>> 12

Livanto >>>>>>>>>> 7

Ristretto >>>>>>>>> 23

Cosi >>>>>>>>>>>> 3

Other >>>>>>>>>>> 5

Next, we shall determine the total frequency.

This is illustrated below:

Total frequency = 12 + 7 + 23 + 3 + 5

Total frequency = 50

Finally, we shall determine the number of Ristretto in 500 capsules.

This can be obtained as follow:

Number of Ristretto = Frequency of Ristretto /total frequency x total capsule

Frequency of Ristretto = 23

Total frequency = 50

Total capsule = 500

Number of Ristretto = 23/50 x 500

Number of Ristretto = 23 x 10

Number of Ristretto = 230.

Therefore, the number of Ristretto in the 500 capsules is 230.

Answer:

-4

Step-by-step explanation:

you can just plug this into a calculator.

OR you could take -3+1 and get -2 and then subtract that from 2 (-3+1=2) and then you get -4

Answer:

-4

Step-by-step explanation:

-3 + (+1)= -2

2(-3 + (+1)) = -4

Answer:

-3

Step-by-step explanation:

3-x if x=6

3-6

-3

Hope this helps ;) ❤❤❤

Answer: -3

Step-by-step explanation: In this case, we are given that x = 6.

So we have 3 - 6 which is -3.

She paid $640 for the painting

Step-by-step explanation:

her selling price SP = 800

CP+25%of CP = 800

1.25CP=800

CP=640

Answer:

$640

Step-by-step explanation:

paint sold for $800

profit 25%

the price she paid for the painting = $800 / 1.25 = $640

Answer:

Step-by-step explanation:

Given initial population of animals = 300 animals

If the population increases by 23% annualy, yearly increment will be expressed as:

Yearly increment = 23% of 300

Yearly increment = 0.23*300

Yearly increment for = 69

Let the total number of years of be x

Increment after x years = 69x

Increase in population of animals after x years with an annual rate of 23% = Initial population + Increment after x years

= 300 + 69x

Hence, the equation represents a population of 300 animals at the increase and an annual rate of 23% is expressed as 300 + 69x

Answer:

The correct unit price can be calculated by dividing the total price paid by 84 that was the number of pairs of padded work gloves that were bought:

$102.48/84=$1.22

The correct unit price is $1.22.

-The error is that the person calculated the unit price by dividing the total price paid by 7 but the statement indicates that the contractor purchased 7 dozen pairs, which means: 7*12= 84. According to this, the contractor purchased 84 pairs of padded work gloves.

Answer:

After 6 minutes, the oven temperature will be: [tex]125^o[/tex]

Step-by-step explanation:

If the increase in temperature is [tex]10^o[/tex] per minute, then in 6 minutes, the increase in temperature would be [tex]6\,*\,10^o=60^o[/tex], therefore, since the initial temperature of the oven was [tex]65^o[/tex], its temperature after 6 minutes would be:

[tex]65^o+60^o=125^o[/tex]