y=1/2x +-6 on a graph

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Work Shown:

The diagram is below.

In this diagram, we have KN and LM as opposite sides. For any parallelogram, the opposite sides are parallel (as shown by the arrow markers) and they are congruent to each other. In other words, KN and LM are the same length.

This means KN = LM and we can solve for x like so

KN = LM

3x-11 = x+15

3x-x = 15+11

2x = 26

x = 26/2

x = 13

Then we can find side KL

KL = 2x-4

KL = 2*13-4

KL = 26-4

KL = 22

Answer:

192.5 in³

Step-by-step explanation:

The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.

Thus the volume V = lbh =

V = (20-2x)*(10-2x)*(x)

V = 4x³ - 60x² + 200x

On differentiating, we have dv/dx to be

dv/dx = 12x² - 120x + 200

Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113

This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.

You cut 2.113 inches from each corner to obtain the maximum volume.

The sizes of the cubes are

20 - (2 * 2.113) = 15.774

10 - (2 * 2.113) = 5.774

2.113

The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.

Answer:

no

Step-by-step explanation:

Answer:

The answer to 7/5x11 is 15.4, so A. Greater than.

Step-by-step explanation:

7/5= 1.4, 1.4x11=15.4.

Step-by-step explanation:

subtract the value by placing it in the right side and multiply with 4.

Answer:

n = 300 and n = 312

Step-by-step explanation:

n - 93 > 175

n > 175 + 93

n > 268

Therefore only the two last answers are are possible n values (n has to be more than 268, not equal)

The two numbers 300 and 312  will make the inequality n-93>175 true which are correct option (D)300 and (E)312.

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

Given inequality as:

n - 93 > 175

n > 175 + 93

n > 268

Therefore, n must be greater than 268 and not equal.

Hence, the two numbers 300 and 312  will make the inequality n-93>175 true.

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Answer:

320 minutes was her time on the previous race

Step-by-step explanation:

Let the time spent on the previous race be x minutes.

Given that at her most recent race, Sue finished in 272 minutes which is 15% less time than the previous race then

x - 15% * x = 272

x - 0.15x = 272

0.85x = 272

x = 272/0.85

x = 320 minutes

The  expression  1/2b -15 is equivalent to, 1/2(b-30), So option C is correct

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

An expression,  1/2b -15

The expressions are equivalent = ?

So now, we can take 1/2 common from the expressions

⇒    1/2b -15(2/2)

⇒   1/2(b -15×2)

⇒   1/2(b - 30)  

Hence, the equivalent expression is,  1/2(b - 30)  

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Answer:

b = 12 in

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

b^2 + 9^2 = 15^2

b^2 = 225 - 81

b^2 = 144

b = 12

Answer: b = 12 in

Answer:

C

Step-by-step explanation:

Answer:

exponential;increase

Step-by-step explanation:

answer is C

Answer:

A

Step-by-step explanation:

We use the Hypotenuse Leg Theorem

When we know the hypotenuse and a leg of a triangle.

We know The Hypotenuse (TO) so we need to know A leg of the triangle which the only leg is TM and OR.

Answer: the answer is to divide and you will come up with the answer 1/12

Step-by-step explanation:

Answer:

here is 1/2 divided displayed mathematically

1/2 ÷ 6

1= numerator

2= denominator

3= whole number

to make it fraction from the answer you keep the

numerator by the whole number to make a new

denomiter

___1___ = _1_

2×6 12

thus the answer to 1/2 divided by 6 on fraction form is

1/2 is the answer

Answer:

18

Step-by-step explanation:

x + (2+x)+ (3x) =82

x+x+3x= 82-2

5x=80

x= 16

Fernando is 16

Adrianna is 2 years older so she is 18

And Lucy is 3x 16=48

together 82

Answer:

C = 17 - R

Step-by-step explanation:

In this scenario, 17 cars would be the initial starting point. While C would be the final number of cars, meaning that our equation would have to equal C. If she rents R number of cars then this number is being subtracted from the initial number of cars because Charmaine would no longer have them in his/her possession. Therefore, it is being subtracted. Using this information we can create the following equation.

C = 17 - R

Answer:

4 1/12 is your answer

Find a common denominator, 12. Multiply the many times you did to the denominator to get 12 to the numerator so 3/4 would be 9/12 and 2/3 would be 8/12 so 9/12 - 8/12 is 1/12 and as you know already 10 - 6 = 4 so 4 1/12 would be your answer.

Answer:

linear. :)

Step-by-step explanation:

Answer:

It depends on what you meant. See below.

Step-by-step explanation:

What you wrote means this:

[tex] f(x) = \dfrac{4}{9}x + 7 [/tex]

This is linear.

If you meant this

[tex] f(x) = \dfrac{4}{9x} + 7 [/tex]

or this

[tex] f(x) = \dfrac{4}{9x + 7} [/tex]

then it's non-linear.

An x in the denominator makes a function non-linear.

9514 1404 393

Answer:

  A to D is about 2087 ft

Step-by-step explanation:

For the portion of the path of interest, the sine and cosine relations apply.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

AB is the adjacent side to the angle marked 33°, with hypotenuse 975 ft.

  cos(33°) = AB/(975 ft)

  AB = (975 ft)cos(33°) ≈ 817.70 ft

BC is the opposite side in the same triangle.

  sin(33°) = BC/(975 ft)

  BC = (975 ft)sin(33°) ≈ 531.02 ft

CD is the hypotenuse of the right triangle BCD. The side BC that we know is opposite the given angle, so the sine relation applies.

  sin(46°) = BC/CD

  CD = BC/sin(46°)

  CD = (531.02 ft)/sin(46°) ≈ 738.21 ft

__

Now we know the segments of the path of interest:

  A–D = AB +BC +CD

  A–D = 817.70 ft + 531.02 ft + 738.21 ft = 2086.93 ft

  A–D ≈ 2087 ft

_____

Additional comments

The attachment shows all of the segments computed working counterclockwise from A. The angles in triangle DEF are computed using the Law of Sines from sides DF and DE and angle DEF. Segments EG and GH are computed using the Law of Cosines.

When we get to points F, G, H, we find that there is some inconsistency with the locations that would be computed working clockwise using AB and angle BFA. This inconsistency shows up in an error in the 119° angle in the attached figure.

This means that segments on the back side of the route, along path EFGHA, will vary somewhat depending on how they're computed.

We assume that points B, C, F, G are collinear.

its blur

how can we read it if your picture is blur

Answer:

z = -9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

3 coefficient po

Step-by-step explanation:

sana maka tulong

Answer:

D. [tex]\sqrt{250}[/tex]

Step-by-step explanation:

First, use prime factorization of 250 to get [tex]\sqrt{2*5^3}[/tex]

Then apply the exponent rule, [tex]a^{b+c} =a^{b}*a^{c}[/tex]

=[tex]\sqrt{2*5^2*5} }[/tex]

Apply radical rule: [tex]\sqrt{ab}= \sqrt{a} \sqrt{b}, a\geq 0, b\geq 0[/tex]

=[tex]\sqrt{5^{2}} \sqrt{2*5}[/tex]

Apply radical rule: [tex]\sqrt{a^{2}} =a, a\geq 0[/tex]

=5[tex]\sqrt{2*5}[/tex]

=5[tex]\sqrt{10}[/tex]

Answer:

D. I did the math on my calculator

Ce clasă ești sa văd daca te pot ajuta

Answer:

3(x - 2)² - 17

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square.

Given

3x² - 12x - 5 ← factor out 3 from the first 2 terms

= 3(x² - 4x) - 5

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 4x

= 3(x² + 2(- 2)x + 4 - 4 ) - 5

= 3(x - 2)² - 12 - 5

= 3(x - 2)² - 17 ← in vertex form

Answer:

3 1/2

Step-by-step explanation:

Rewriting our equation with parts separated

=6+1/4−2−3/4=6+1/4−2−3/4

Solving the whole number parts

6−2=4/6−2=4

Solving the fraction parts

1/4−3/4=−2/4 1/4−3/4=−2/4

Reducing the fraction part, 2/4,

−2/4=−1/2−2/4=−1/2

Combining the whole and fraction parts

4−1/2=3 1/2

Answer:

(4,3)

Step-by-step explanation:

Solve the equation:

3<2(4)-5

3<8-5

❌3<3 ❌

3 is not less than three, hence this is the phony

i hope this helps!

Answer: Multiply 7.5% by the price after subtracting the coupon's value.

Step-by-step explanation:

Let's assume that the cost of the shirts is x. So the coupon would subtract y from x so that's x-y which gives us z. Then to find z, on a calculator just put in 7.5% x z. I used variables since I don't know the value of the coupon or the original price of the shirts.

Answer:

C

Step-by-step explanation:

✔️First, solve for r:

r/2 ≤ 3

Multiply both sides by 2

r/2 × 2 ≤ 3 × 2

r ≤ 6

This implies that possible value of r is equal to 6 or less than 6.

Graphing this on a number line, the line with a shaded circle, indicating that 6 is included, starts at 6 and points to the left.

This indicates that value of r ranges from 6 and below.

The graph is C.