Find the value of y for the given value of x.

y=2−9x;x=2/3

19/12

==========================================================

Explanation:

Use the triangle inequality theorem to set up these three inequalities

If you were to apply substitution and solve for x, then you'd get these solutions in the order presented shown above

We'll ignore the third inequality. It's not very useful because we were already told that x > 0.

The first two inequalities combine to get 3/4 < x < 11/2

This is the range of possible x values so that triangle ABC is possible.

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

If we want angle CAB (or angle A for short) to be the largest of the triangle, then side BC must be the longest of the three sides.

The rule is: the largest angle is always opposite the longest side. This applies to triangles only.

Since BC is the longest side, this means BC > AB and BC > AC

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

Let's focus on the first inequality

BC > AB

x+7 > x+4

7 > 4

That's true regardless of what we pick for x. So BC is always longer than AB.

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

Now onto the second inequality

BC > AC

x+7 > 4x

7 > 4x-x

7 > 3x

3x < 7

x < 7/3

Now recall that we found earlier x > 3/4 or 3/4 < x

Combine 3/4 < x and x < 7/3 to get the compound inequality 3/4 < x < 7/3

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

Notice the middle part of that compound inequality is x and BC = x+7

If we were to add 7 to all three parts of the compound inequality, then we'll determine exactly the possible range of lengths for segment BC.

3/4 < x < 7/3

3/4+7 < x+7 < 7/3+7

3/4 + 28/4 < x+7 < 7/3 + 21/3

31/4 < x+7 < 28/3

31/4 < BC < 28/3

The length of segment BC is between 31/4 units and 28/3 units, excluding both endpoints. Those are the values of m and n in that order.

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

The last step is to compute n-m

n-m = (28/3) - (31/4)

n-m = (112/12) - (93/12)

n-m = (112-93)/12

n-m = 19/12 which points us to choice D.

Side note: 7/3 - 3/4 = 28/12 - 9/12 = (28-9)/12 = 19/12

For a shape to be defined as a quadrilateral it has to have 4 sides.

For a shape to be defined as a triangle it has to have 3 sides, with the angles adding up to 180°

For a shape to be defined as a square it has to have 4 sides and angles. The angles must add up to 360° with equal side and angle length.

Answer:

Shapes are the outlines formed from a given area of figure. The characteristics of shapes vary and depend on what the given shape is. Here are the characteristics of a quadrilateral, triangle, and square.

1. Quadrilateral- Quadrilaterals should have four sides and four corners. As long as these two are present, you can call any shape a quadrilateral regardless of how it is formed.

2. Square- A square is a quadrilateral, so it must contain four sides and four corners. However, a square has its sides and corners equally made.

3. Triangle- A triangle should have three sides or vertices and three corners.

Step-by-step explanation:

well, we can take a peek at this from the standpoint of moving from the right towards 0, but never getting there.

[tex]e^{-\frac{5}{x}}\implies \cfrac{1}{e^{\frac{5}{x}}}\qquad \qquad \stackrel{x = 1}{\cfrac{1}{e^{\frac{5}{1}}}}\implies \cfrac{1}{e^5}\qquad \qquad \stackrel{x=0.000001}{\cfrac{1}{e^{\frac{5}{0.000001}}}}\implies \cfrac{1}{e^{500000}}[/tex]

as "x" is moving towards 0, the denominator is becoming larger and ever larger, whilst the numerator is remaining the same, thus the fraction is become ever smaller, going towards = 0.

Answer:

The answer would be 64 cm.

Step-by-step explanation:

Step 1: Identify which shapes you will do to find the area
(I did 2 and 12 and 8 and 5)
Step 2: Do 12x2 (24)
Step 3: Do 8x5 (40)
Step 4: Add 40+24 (64)
Step 5: Label
I hope this helps!

Answer:

the cost of 9 articles is 40.5

Answer:

1.2kl

Step-by-step explanation:

1000grams=1kilogram

700+500=1200

so 1.2kilograms

Answer:

B. -3

your question isn't clear

He can find the area of the individual shapes the backyard is made up of, then take the sum.

A composite figure is made up of different shapes and hence their area might be difficult to determine.

In order to determine the area of such a complex shape, the area of the individual shapes is first determined and then sum up. The sum of their areas will give  the area of the composite figure

For your neighbour, he can find the area of the individual shapes the backyard is made up of, then take the sum.

Learn more on area of composite figure here: https://brainly.com/question/21135654

Answer:

c. 15

Hope it helpz~

please mark me as brainliest

Answer: 150 kilometers

Step-by-step explanation:

if it's 30 units of 5 kilometers then you multiply it

5x30=150

Answer:

Refer to below!

Step-by-step explanation (a):

[tex]\rightarrow \dfrac{10^{3} \times 10^{4} }{10^{5} } \\\\\\ \rightarrow \dfrac{10^{3 + 4} }{10^{5} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \[[\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ] \\\\\\ \rightarrow \dfrac{10^{7} }{10^{5} } \\\\\\[/tex]

[tex]\rightarrow 10^{7 - 5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}] \\\\\rightarrow 10^{2}[/tex]

Step-by-step explanation (b):

[tex]\rightarrow \huge{\text{(}{10^{4} \times \dfrac{10^{12} }{10^{7} }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{12 - 7} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow \huge{\text{(}{10^{4} \times {10^{5} }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}{10^{4 + 5} }\huge{\text{)}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]

[tex]\rightarrow{10^{9} }[/tex]

Step-by-step explanation (c):

[tex]\rightarrow \huge{\text{(}\dfrac{10^{5} }{10^{3} } }\huge{\text{)}[/tex]

[tex]\rightarrow \huge{\text{(}10^{5 - 3} }\huge{\text{)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow 10^{2} }[/tex]

Step-by-step explanation (d):

[tex]\rightarrow \dfrac{10^{4} \times 10^{5} \times 10^{6} }{10^{3} \times 10^{7} }[/tex]

[tex]\rightarrow \dfrac{10^{4 + 5 + 6} }{10^{3 + 7} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \times a^{4} = a^{4 + 2} = a^{6} ][/tex]

[tex]\rightarrow \dfrac{10^{15} }{10^{10} }[/tex]

[tex]\rightarrow 10^{15 - 10} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow 10^{5} }[/tex]

Step-by-step explanation (e):

[tex]\rightarrow \dfrac{(10^{5})^{2} }{(10^{2})^{3} }[/tex]

[tex]\rightarrow \dfrac{10^{5 \times 2} }{10^{2 \times 3} } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule: }(a^{2} )^{5} = a^{2 \times 5} = a^{10} ][/tex]

[tex]\rightarrow \dfrac{10^{10} }{10^{6} }[/tex]

[tex]\rightarrow {10^{10 - 6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using exponent rule:} \ a^{2} \div a^{4} = a^{2 - 4} = a^{-2}][/tex]

[tex]\rightarrow {10^{4}[/tex]

Answer:

x= 28/5 or 5.6

Step-by-step explanation:

5(x+2)−3(x−6)=7x

5(x+2)−3(x−6)=7x

Simplify both sides of the equation.

5(x+2)−3(x−6)=7x

(5)(x)+(5)(2)+(−3)(x)+(−3)(−6)=7x <--(Distribute)

5x+10+−3x+18=7x

(5x+−3x)+(10+18)=7x  <--(Combine Like Terms)

2x+28=7x

2x+28=7x

Subtract 7x from both sides.

2x+28−7x=7x−7x

−5x+28=0

Subtract 28 from both sides.

−5x+28−28=0−28

−5x=−28

Divide both sides by -5.

[tex]\frac{-5x}{-5} \frac{-28}{-5\\} \\[/tex]      

x= 28/5

Answer:

x= 28/5

or

5.6

hope this helps!

Answer:

The probability for A  is 1-0.1 is 90%

P(A)=90%

P(NOT B)=30%

P(A AND B)=0.9+0.7/2=1.6/2=80%

p(a and b) may be a little off.

Answers:

=======================================================

Work Shown:

P(A) = 1 - P(not A)

P(A) = 1 - 0.1

P(A) = 0.9

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

P(not B) = 1 - P(B)

P(not B) = 1 -0.7

P(not B) = 0.3

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

P(A and B) = P(A)*P(B) only when A and B are independent

P(A and B) = 0.9*0.7

P(A and B) = 0.63

Step-by-step explanation:

a circle with r=6 so the area for the circle is π*r^2

and the area for the rectangle in the meddle is 18*12 which 12 is the height of the rectangle

and the area for that shape equals the area for the circle plus the area for the rectangle

Answer:

9

Step-by-step explanation:

Raising a number to the second means multiplying that number.  3 * 3 = 9

Answer:

6 Hours

Explanation:

Linear Equation: mx+b=y

x variable: Hour

Hourly Fee: $15(x)

(Initial) Rent Fee: $25

Balance: $100

Equation:

15x+25=100

15x+25-25=100-25 -- Separate the constant terms from the x by subtracting 25 from both sides.

15x=100

15x/15=100/15 -- Isolate the x variable by dividing 15 from both sides.

x=6.6.. -- Round down to 6 (not 7) because you can't afford to snowboard for 7 hours with less than $15.

x=6 Hours

answer: 6 hours

Step-by-step explanation:

I did this on a paper

Answer:

by using pythagoras theorem

[tex] {h}^{2} = {p}^{2} + {b }^{2} \\ {28}^{2} = {17}^{2} + {es}^{2} \\ {28}^{2} - {17}^{2} = {es}^{2} \\ {es}^{2} = 495 \\ es = \sqrt{495} \\ es = 3 \sqrt{55} [/tex]

Answer:

1:1000

2,100 kg

Step-by-step explanation:

A linear scale of 1:10 means a volume scale of 1:1000.

The ratio of the volumes is model:real = 1:1000.

The mass is proportional to the volume.

The real car has a volume 1000 times the volume of the model, so its mass is also 1000 times the mass of the car.

mass of real car = 1000 × 2.1 kg = 2100 kg

Answer:

I think line C and L since Jenna's numbers are the same

Answer:

81/10

Step-by-step explanation:

height = 10m

hope it helps...!!!

Answer:

The answer is A. (Pls brainliest!!)

Step-by-step explanation:

Answer:

All of them

Step-by-step explanation:

To find the volume of a rectangular prism the formula is V=whl . So to find the dimensions of the box we would have to take the options that they give us and see which ones equal 80 cubic cm.

2⋅5⋅8=80, so right away we know the answer because 5⋅2=10 and 10⋅8=80

4⋅5⋅4=80, that is another possible answer because 5⋅4=20 and 20⋅4=80

10⋅4⋅2=80, yet another answer that is equivalent to 80 because 10⋅4=40 and 40⋅2= 80

So now we know that all three answers are correct and they would all work as possible dimensions  for Max’s box.

Hope this helps!!

First of all, subtract 5 from both sides:-

13-5<z+5-5

13-5<z

8<z

Since 8 is less than z, z is greater than 8:-

[tex]\bigstar{\boxed{\pmb{z > 8}}[/tex]

Hence, all the numbers greater than 8 will make this inequality true.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

Let's solve your inequality step-by-step.

13<z+5

Step 1: Flip the equation.

z+5>13

Step 2: Subtract 5 from both sides.

z+5−5>13−5

z>8

Answer:

z>8

Step-by-step explanation:

Answer:

(y^2 + 6)(y^2 - 6)

Step-by-step explanation:

First, substite variable x for y^2:

FOR x = y^2:

y^4 - 36

= (y^2)(y^2) - 36

= (x)(x) - 36

= x^2 - 36

Now, use the formula a^2 - b^2 = (a + b)(a - b):

x^2 - 36

= x^2 - 6^2

= (x + 6)(x - 6)

Finally, since the expression is factored for x, not y, substite y^2 in for x:

(x + 6)(x - 6)

= (y^2 + 6)(y^2 - 6)

[tex]= (y^2 + 6)(y^2 - 6)[/tex]

67 miles

On Monday, Jullo ran 39 miles.

On Tuesday, he ran 24 miles.

On Wednesday, he ran 4 miles.

Finding the total miles:

Total miles ran on Monday, Tuesday, and Wednesday = 39 + 24 + 4

                                                                                            = 67 miles

Answer:

Draw line a through points A and B. Draw line b through point C and parallel to line a. Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'. It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees

y = -1.5(x) + 0.5

slope:

⇒ (y2-y1)/(x2-x1)

⇒ (5-(-1))/(-3-1)

⇒ 6/-4

⇒ -1.5

equation:

⇒ y -(-1) = -1.5(x-1)

⇒ y + 1 = -1.5(x) + 1.5

⇒ y = -1.5(x) + 0.5

Answer:

Step-by-step explanation:

Te processing fee was applied to the discounted price.

The discounted price is

Amount of fee is