A student used the graph below to identify the minimum/maximum. The student said the graph had a maximum of 1. Explain the students mistake and how the student can tell the difference between a maximum and minimum. (Write your answer in at least 2 complete sentences).

Answer:

36

Step-by-step explanation:

a² + b² = c²

a² + 77² = 85²

a² + 5929 = 7225

a² = 1296

a = 36

Step-by-step explanation:

[tex] \sqrt{ {85}^{2} - {77}^{2} } [/tex]

[tex] \sqrt{1296} [/tex]

[tex] 36 [/tex]

Answer:

C. 250-60w

Step-by-step explanation:

Answer: -2, 0, and 2.

Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.

the numbers that are in the range of the relation R are -2, 0, and 2.

To determine the numbers that are in the range of the given relation R, we need to identify the second components (y-values) of each ordered pair in the relation.

The range of a relation consists of all the unique y-values that are paired with x-values in the relation.

For the given relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)}, the second components (y-values) are:

-2, 0, 2, 2.

To find the numbers that are in the range, we look for the unique values among these y-values:

-2, 0, 2.

Therefore, the numbers that are in the range of the relation R are -2, 0, and 2.

Learn more about range here

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Complete question is below

R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} Select all numbers that are in the range.

-3

-2

-1

0

1

2

Answer:   [tex]a_n=6n-2[/tex]

Step-by-step explanation:

a₁, ____, 16, ____, a₅, _____, a₇

The difference of a₇ and a₅ is 2d (two steps to the next term).

It is given that 2d = 12  --> d = 6

We can subtract 6 from a₃ to find a₁

a₁ = 4, 10, 16, ____, a₅, _____, a₇

Input a₁ = 4, d = 6 into the explicit formula for an arithmetic equation.

[tex]a_n=a_1+d(n-1)\\\\a_n=4+6(n-1)\\\\a_n=4+6n-6\\\\\large\boxed{a_n=6n-2}[/tex]

Answer: $3433.34  

Step-by-step explanation:

48 months is the same as 4 years  so we will represent the whole situation as.

3000 * 1.046^4 = 3433.34

Answer:

D. 3,552.00

Step-by-step explanation:

Answer:

The two consecutive even integers = (4, 6)

Step-by-step explanation:

We are asked in the question to find two consecutive even integers such that 5 times their sum is 26 more than their product.

Two consecutive even integers is represented as: x, x + 2

Five times their sum is 26 more than their products

5( x + x + 2) = [x × (x + 2)] + 26

5( 2x + 2) = (x² + 2x) + 26

10x + 10 = (x² + 2x ) + 26

x² + 2x + 26 - 10x - 10 = 0

x² - 8x + 16 = 0

We factorise

x² - 4x - 4x + 16 = 0

(x² - 4x) -(4x + 16) = 0

x(x - 4) -4(x - 4) = 0

(x - 4)(x - 4) = 0

(x - 4)²

Hence

x - 4 = 0

x = 4

Since, we know that two consecutive even integers = (x , x + 2)

First even integer = x = 4

Second even integer = x + 2 = 4 + 2

= 6

Therefore, the two consecutive even integers = (4, 6)

Answer:

20 terms

Step-by-step explanation:

Given AP with the first two terms:

Common difference:

To find

Since Sₙ = -30

Solving the quadratic equation we get:

So the sum of 20 terms will add up - 30

Answer:

17 x^2

Step-by-step explanation:

(8x^2 + 8x) – (-9x^2 + 8x)

Distribute the minus sign

8x^2 + 8x + 9x^2 - 8x

Combine like terms

17 x^2 +0x

17x^2

Answer:

17x^2

Step-by-step explanation:

(8x^2 + 8x) – (-9x^2 + 8x) =

The parentheses on the left side are unnecessary, so just remove them.

= 8x^2 + 8x – (-9x^2 + 8x)

To remove the right set of parentheses, distribute the negative sign.

= 8x^2 + 8x + 9x^2 - 8x

Now combine like terms.

= 8x^2 + 9x^2 + 8x - 8x

= 17x^2

Answer:

The ratio can be 16:14 whose simplest form is 8/7

Hope this helps (O^O)

Answer:

convert it into a mixed number 1 1/7

Answer: D. 20ft

Step-by-step explanation:

Answer:

The answer would be 20 feet.

Step-by-step explanation:

This is because square feet is referring to the area. And since the area = L * W and since the sides of the square are identical. It would be 20*20=400.

Answer:

x = 28

Step-by-step explanation:

Given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides the sides proportionally, that is

[tex]\frac{AC}{CR}[/tex] = [tex]\frac{AD}{DR}[/tex] , substitute values

[tex]\frac{10}{x}[/tex] = [tex]\frac{15}{42}[/tex] ( cross- multiply )

15x = 420 ( divide both sides by 15 )

x = 28

Answer:

Hey there!

We are trying to find the difference between 4 and -7

We can write -7+x=4, where x is the difference we are trying to find.

Solving for x, we get that the difference is 11.

Let me know if this helps :)

The difference between the high and low temperatures is 11 degrees.

Given :

The high temperature Monday was 4 degrees.

The low temperature was -7 degrees.

We need to find the difference between high and low temperatures .

To find the difference ,we subtract low temperature from high temperature

High temperature - low temperature

[tex]High - low \; temperature \\4-(-7)\\4+7\\11[/tex]

The difference between the high and low temperatures is 11 degrees.

Learn more :  brainly.com/question/4600267

Answer:

37800000

Step-by-step explanation:

75 x 60 = 4500

4500 x 24 = 108000

108000 x 7 = 756000

756000 x 50 = 37800000

Answer:

[tex]\$\,450+0.05\cdot V \geq \$\,600[/tex]

Step-by-step explanation:

El salario semanal es la suma de un coste fijo y un coste variable en función de las ventas logradas. El enunciado puede traducirse en la siguiente desigualdad:

[tex]\$\,450+0.05\cdot V \geq \$\,600[/tex]

Donde [tex]V[/tex] es el monto semanal de ventas, medido en pesos.

Answer:

[tex]\Huge \boxed{{x=56\°}}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Create an equation.

64 + x + 60 = 180

Solve for x.

Add the numbers.

x + 124 = 180

Subtract 124 from both sides.

x + 124 - 124 = 180 - 124

x = 56

Answer:

56°

Step-by-step explanation:

Why?

Therefore, x is 56°

Answer:

17.5

Step-by-step explanation:

35℅ of 100 is 35 so 200 would be half that

Answer:

Hey!

Your answer is 17.5%!

Step-by-step explanation:

Can be written as...35/200

Now...

MULTIPLY THE NUMERATOR AND DENOMINATOR BY 100...

35/200 × 100/100

35×100/200 × 1/100

SOLVED!!!

▶ HOPE IT HELPED ◀

Answer:

[tex]\boxed{\boxed{b=\frac{d-c}{a}; a\neq 0}}[/tex]

Step-by-step explanation:

[tex]ab+c=d\\\\ab+c-c=d-c\\\\ab=d-c\\\\\frac{ab=d-c}{a}\\\\ \boxed{b=\frac{d-c}{a}; a\neq 0}[/tex]

Answer:

-5

Step-by-step explanation:

BODMAS

-4+7-2(3+1)

bracket first

-4+7-2(4)

multiply

-4+7-8

addition

3-8

-5

Answer:

A. The system has no solutions

Step-by-step explanation:

Step 1: Check to see if the 2 lines share 1 slope

slope of blue line = [tex]\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}[/tex]

slope of red line = [tex]\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}[/tex]

Step 2: Realize that lines with the same slope never touch

We know lines with the same slope are parallel to each other so they won't collide

Step 3: Know what the question is asking you

When they ask for solutions to the system of equations they are asking you to find out where they intersect

Step 4: Find answer

Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution

Therefore the answer is A. The system has no solutions

Answer:

[tex]\huge \boxed{\mathrm{Option \ A}}[/tex]

Step-by-step explanation:

For the system of equations to have solutions, the two equations have to intersect on the graph.

The two lines on the graph never intersect, therefore there are no solutions for the system of equations.

Answer:

270,000,000

Step-by-step explanation:

2.7 time 10 to the 8 means 2.7*10⁸ in scientific notation

To put it in standard notation

Multiply 2.7 by 10⁸, which is 100,000,000

Answer:

x = - [tex]\frac{3}{2}[/tex], x = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

2(6x² + 5x) = 12 ( divide both sides by 2 )

6x² + 5x = 6 ( subtract 6 from both sides )

6x² + 5x - 6 = 0 ← in standard form

(2x + 3)(3x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]

Answer:

a c d

Step-by-step explanation:

a c d are quadratic equation expect "b"

Answer:

x=9

Step-by-step explanation−4(2x−1)=−6(x+2)−2

(−4)(2x)+(−4)(−1)=(−6)(x)+(−6)(2)+−2(Distribute)

−8x+4=−6x+−12+−2

−8x+4=(−6x)+(−12+−2)(Combine Like Terms)

−8x+4=−6x+−14

−8x+4=−6x−14

Step 2: Add 6x to both sides.

−8x+4+6x=−6x−14+6x

−2x+4=−14

Step 3: Subtract 4 from both sides.

−2x+4−4=−14−4

−2x=−18

Step 4: Divide both sides by -2.

−2x

−2

=

−18

−2

x=9

Answer:

2

Step-by-step explanation:

This is our equation-

-4(2x-1)=-6(x+2)

We are trying to isolate x in a side, but first, we must multiply the numbers in between the brackets. A negative number multiplied by a positive number gives a negative number, and a negative times a negative is positive, so-

-8x·4=-6x+(-12)

Now we have to multiply -8x times 4

-32x=-6x-12

Now we isolate x-

-24x=-12

We divide and get the final result of x=2

x=2

Step-by-step explanation:

im srry if it doesnt help...

Answer:

Box 1

Step-by-step explanation:

If you look carefully, you will notice that Boxes 2, 3, and 4 are all equations. We know this because they all have the "=" sign. On the other hand, Box 1 is an expression. We know this because it doesn't have an "=" sign. Therefore, Box 1 is the odd one out.

Answer:

13

Step-by-step explanation:

Hello, we can write a two digit number 'ab' as 10 * a + b, where a and ba are two integer between 0 and 9.

For instance, 54= 50 + 4 = 5 *10 + 4, a = 5 b = 4, right?

The sum of a two digit number is 4.

a + b = 4

If the order of the digits are reversed, the result is a number that exceeds the original number by 18.

10b + a = 10a + b + 18

9b = 9a + 18

b = a + 2

We can replace in the first equation,

a + a + 2 = 4

2a = 2

a = 1

and then, b = 3

So the number is 13.

thank you

Answer:

$2259.30

Step-by-step explanation:

If will started with 4355.19$ in his checking account and wrote two checks, that mean he has taken money out of his account (subtraction operation).  We can represent this with the expression:

4355.19 -1204.90 - 890.99

Using this expression, we can simplify to find the remainder of money Will has in his account once the two checks clear.

4355.19 - 1204.90 - 890.99

= 4355.19 - (1204.90 + 890.99)

= 4355.19 - (2095.89)

= 2259.30

So once the two checks Will wrote clears, he will have $2259.30 left in his checking account.

Cheers.

Answer:

$2259.28

Step-by-step explanation:

Will have $4355.19

Check writes ($1204.90+$890.99)

                      = $2098.89

Will have left in his account ( $4355.19 - $2098.89)

                                               = $2259.28 (ans.)

The rule for dividing the exponential numbers is that:

x^n / x^m                                            (  " ^ " is refer to show you the exponent)

=  n-m .

So , 9-8 = 1 . and 15 to the power of 1 is equal to 15.

Answer:

x≥2

Step-by-step explanation:

First, write out the equation as you have it:

[tex]58-10x\leq20+9x[/tex]

Then, add [tex]10x[/tex] to both sides:

[tex]58-10x+10x\leq20+9x+10x\\58\leq20+19x[/tex]

Next, subtract [tex]20[/tex] from both sides:

[tex]58-20\leq20-20+19x\\38\leq19x[/tex]

Finally, divide both sides by [tex]19[/tex]:

[tex]\frac{38}{19}\leq\frac{19x}{19}\\2\leq x[/tex]

or

[tex]x\geq 2[/tex]

Therefore: the answer to this inequality/equation is: x≥2