Mathematics High School

Which of the following graphs shows the solution for the inequality
y-4> 2(x+2)?

Answers

Answer 1

Answer:

Answer:

Graph C shows the solution for the inequality

Step-by-step explanation:

y - 4 > 2(x + 2)

y > 2x + 4 + 4

y > 2x + 8

Let y = 2x + 8, Then

X-intercept (0, 8)

Y-intercept (-4, 0)

Since the inequality sign is > we use broken line.

Put, (0, 0)

y > 2x + 8

0 > 0+ 8

0 > 8 Which is false

so, the answer will be above the broken line

Hence , Graph C shows inequality

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Related Questions

What is the value of x in the diagram

Answers

Answer:

51°

Step-by-step explanation:

the given angle of 102° is the arc angle between the 2 segment end points on the circle arc.

and this arc angle is always a seen from the center of the circle.

by moving the reference point back (to the other side of the circle) to the circle arc that angle is cut in half.

you could move that point to anywhere on the arc of the circle outside of the 2 endpoints, and the angle stays always the same.

FYI - now, if you move that point into the top half-circle between the 2 end points, the perspective flips around, and that angle becomes half of the 360-102 = 258° arc angle.

Which image is a reflection of the orange letter K in Quadrant I?
I'll give you brainliest if you actually answer my question

Answers

The answer is the green K in quadrant IV

what is the Cartesian co-ordinate system?

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates.

Given here: The K in the fourth quadrant is a reflection of K in the first quadrant because it first flips the K and but there is no change in the position of the x-axis quite clearly.

Hence, The answer is the green K in quadrant IV

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Identify the type of function represented by f(x) = 2(1/2)^x
A. Exponential growth
B. Linear
C. Exponential decay
OD. Quadratic

Answers

Answer:

C) Exponential Decay

Step-by-step explanation:

Because the base inside of the parentheses is less than 1, the function will only get exponentially smaller over time.

Part 1 - Application
If the length of an arc of a circle of radius 7 is approximately 10.99 cm. What is the measure of the central
angle associated with the arc? Use 3.14 for It. Give your answer in degrees and radians (approximate to two
decimals and exact).

Answers

The measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a length of an arc of a circle of radius 7 is approximately 10.99 cm.

The radius r = 7 cm

The arc length l = 10.99 cm

We know,

l = rθ

θ is the central angle.

θ = l/r = 10.99/7 = 1.57 radians

To convert 1.57 radians into the degree multiply it by 180/π

θ = 89.95 degree

Thus, the measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

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Select the correct answer.
Which equation is equivalent to the given equation?
- 4(x - 5) + 8x = 9x - 3
A.
-5x = -23

B.
5x = 17

C.
-5x = 2

D.
5x = -12

Answers

Answer:

A. -5x = -23

Step-by-step explanation:

First you have to simplify the equation - 4(x - 5) + 8x = 9x - 3

-4x + 20 + 8x = 9x -3

9x - 4x = 20 + 3

5x = 23

=> equivalent to answer A.

The equivalent expression is,

⇒ - 5x = - 23

We have to given that,

An expression is,

- 4 (x - 5) + 8x = 9x - 3

Now, We can simplify the expression for equivalent expression,

- 4 (x - 5) + 8x = 9x - 3

Apply distributive property, we get;

- 4x + 20 + 8x = 9x - 3

4x + 20 = 9x - 3

4x - 9x = - 20 - 3

- 5x = - 23

Therefore, The equivalent expression is,

⇒ - 5x = - 23

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How does human behavior explain why the demand line slopes downward?

Answers

The decreasing of the prices and increasing of buying are correlated with the human behavior.

What is a Demand Graph ?

Demand graph is the curve in the study of economics which tells us about the number of units purchased or the demand of the product with respect to the price.

The demand line slopes downward means the price is decreasing and more people are buying it.

The increase in the buying of the goods on decreasing prices is affected by human behavior as when the price decrease , the middle class people have a tendency to buy more quantity and

even there is need to satisfy unsatisfied wants , If a product was costlier before and the prices have decrease then to satisfy the wants , the people buy it ,

Hence decreasing of the prices and increasing of buying are correlated with the human behavior.

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Help pls i will give 10 points

Answers

Answer:

1/4 for blue and 3/8 for green

Step-by-step explanation:

2 blue sections out of 8

2/8 simplified is 1/4

3 green sections out of 8

3/8 is the simplest form

Use technology, what is the solution to this system? 4x+8y=30

Answers

Answer:

y=-1/2x+15/4

Step-by-step explanation:

transfer the equation into slope intercept form. subtract 4x from each side getting 8y=-4x+30 then divide by 8.

If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime?

On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 0), (negative 1, 2).
(–2, 0)
(0, –2)
(5, –7)

Answers

Using translation concepts, it is found that the coordinates of the image of point B is given by: (0, –2).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule is given by:

(x,y) -> (x + 5, y - 2).

Hence, the image of point B, given by B', is:

(-5,0) -> (-5 + 5, 0 - 2) -> (0,-2).

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Maria orders t-shirts for her volleyball camp. Adult-sized T-Shirts cost $6.25 each and youth-sized T-Shirts cost $4.50. Maria has $550 to purchase both adult-sized and youth-sized T-Shirts. If she purchases 45 youth-sized T-Shirts, determine algebraically the maximum number of adult-sized T-Shirts she can purchase.

Answers

Answer:

Step-by-step explanation:

45 * 4.50 = 202.5

550 - 202.5 = 347.5

347.5/6.25 = 55.6 (55 full t shirts)

Given the graph, which coordinate point is NOT a solution?

Answers

Answer: (1, 2) (The third option)

Step-by-step explanation: A solution has to be on the line. (1, 2) is the only point that isn't on the line.

1 Pound brown sugar is equivalent to _____ cups.

Answers

Answer:

3 1/2 or 3.5 cups is equal to 1 pound

Step-by-step explanation:

1 Pound brown sugar is equivalent to ___3 1/2 or 3.5__ cups.

Hope This Helped

Answer:

3½ cups

Step-by-step explanation:

While traveling to europe, phelan exchanged 250 us dollars for euros. he spent 150 euros on his trip. after returning to the united states he converts his money back to us dollars. how much of the original 250 us dollars does phelan now have? round to the nearest cent.while traveling to europe, phelan exchanged 250 us dollars for euros. he spent 150 euros on his trip. after returning to the united states he converts his money back to us dollars. how much of the original 250 us dollars does phelan now have? round to the nearest cent. 1 european euro = 1.3687 us dollars

Answers

Answer:

$44.69

Step-by-step explanation:

150 x 1.3687 = $205.305 = $205.31

250 - 205.31 = $44.69

(Hope this helps ^-^)

Answer

44.70 US dollars

Step-by-step explanation: Edg right? If thats what youre reffering too then this is correct

Find the interest and the amount repaid.

Principal 500.00
Rate 12%
Time 18 months
what is the amount

Answers

Answer:

3844.98

Step-by-step explanation:

Use this formula: P(1+b)^x

500(1.12)^18 (put in calculator).

Hope this helps!

If not I am sorry.

In the figure below, which term best describes point X?
B
OA. Centroid
OB. Incenter
O C. Circumcenter
OD. Orthocenter

Answers

Answer:

Centroid

Step-by-step explanation:

It is a centroid because x is the center of the triangle

may I get brainliest?

Hope this helps :)

The term best describes point X is option A. Centroid.

What is the centroid of a triangle and its coordinates?

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

here, we have,

If the surface is plane triangle approximately and mass is uniformly distributed, then its center of mass will lie on the centroid of that triangle.

we have,

If the triangle has its vertices as (x1, y1) (x2,y2) (x3,y3)

then the coordinates of the centroid of that triangle is given by:

(x, y ) = (x1+x2+x3/3 , y1+y2+y3/3 )

Hence, The term best describes point X is option A. Centroid.

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If f(x)=8-10x and g(x) =5x +4, what is the value of (fog)(-2)?

Answers

Answer:

Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

f∘g

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

g(-2)

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

g(x) = 5x +4

g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math

f(g(-2))

Now that we know g(-2) = -6, we know this expression is ...

f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x

Then the value we're looking for is ...

(f∘g)(-2) = 68

Find the Area (Need help ASAP)

Answers

Your answer would be 32. 10+8+6+8 = 32

Explanation:

Answer:

It wont always be easy, but always try to do what ' s right!

In a world of worriers, be the warrior!

When nothing goes right, go left.

ABC Car Share Inc. offers car sharing for a $199 yearly fee plus $14/hr for the
use of its car share. What is the total cost for a person who purchases a car
share and uses it for 72 hours total time?
OA. $1307
OB. $1107
C. $1207
OD.
$1407
SUBMIT

Answers

Answer:

Step-by-step explanation:

199+(14*72) = 1207

annual fee plus cost for each hour used

What is the distance between the following points?

Answers

Answer:

Step-by-step explanation:

go up 7 then over 3, add them together and you got 10

What are the coordinates of the point where the line y = -x +5 intersects the x-axis?
O (0, -3)
O (0,3)
O (-3,0)
0 (3,0)

Answers

The answer is (3,0)

Sure hope this helps you

Which equation is represented by the graph below ?

Answers

The equation that represent the graph is y = (1/2)eˣ , Option B is the correct answer.

What is an Exponential Function ?

An exponential function is what is denoted as y = eˣ

The graph has to be studied and the equation has to be determined.

To determine we will consider x = 0 for all the equation ,. which will give the y intercept , which is below 1 so Option C and D are stroked out.

Now we plot the graph for equation A and B

It can be easily understood from the graph that at x =0 , y = 0.5

Therefore , the equation that represent the graph is

y = (1/2)eˣ

Option B is the correct answer.

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Question 4.
The angle of elevation of the top of a tree from a point on the ground 22 m away is 24⁰°.
Calculate the height of the tree (in metres) correct to 2 decimal places.
22 m
tree

Answers

Answer:

9.80 m

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.

setup

The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...

Tan = Opposite/Adjacent

Using the given values, we have ...

tan(24°) = AC/AB = (tree height)/(distance from tree)

tan(24°) = AC/(22 m)

solution

Multiplying by 22 m gives ...

tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m

The height of the tree is about 9.80 meters.

rearrange the equation 12n + 3px = 7px

Answers

From factoring, the given equation can be rearranged as [tex]x=\frac{3n}{p}[/tex].

Factoring

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten using the variables n and p in different sides. After that, you should factor out a common term.

[tex]12n + 3px = 7px\\ \\ 12n=7px-3px\\ \\ 12n=4px\\ \\ x=\frac{12n}{4p} =\frac{4*3n}{4p}=\frac{3n}{p}\\ \\ x=\frac{3n}{p}[/tex]

Answers

Answer:

look above

Step-by-step explanation:

hopeit hepls

Stock for the jones corporation starts with a value of $39.63 and gains $0.30 in value per month. stock for the overton company starts with a value of $24.45 and gains $0.80 in value per month. when are the two stocks nearly equal in value?

Answers

Using linear functions, it is found that the two stocks will be nearly equal in 30 months.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Each of the stocks can be modeled by these following functions:

S1(t) = 39.63 + 0.3t.S2(t) = 24.45 + 0.8t.

They will be equal when:

S1(t) = S2(t).

Hence:

39.63 + 0.3t = 24.45 + 0.8t

0.5t = 15.18

t = 15.18/0.5

t = 30.36.

Rounding, approximately 30 months.

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Which polynomial is prime?
O x²+x+1
O x²-x-2
O x²-12x + 11
Ox²+2x-8

Answers

Answer:

The correct answer is x^2 + x + 1.

Step-by-step explanation:

A prime polynomial is one that cannot be factored. To solve this problem, we can use the process of elimination by eliminating all answer choices that can be factored.

x^2 - x - 2 = (x - 2)*(x + 1)

x^2 - 12x + 11 = (x - 11)*(x - 1)

x^2 + 2x - 8 = (x + 4)*(x - 2)

Since we cannot factor x^2 + x + 1, and we can factor all of the other answer choices, we know that x^2 + x + 1 is the answer.

Hope this helps!

Kenji is using walnuts to bake muffins and granola for his restaurant. each batch of muffins
1
pound of walnuts. he needs 2 pounds of walnuts to make granola. kenji can use up
2
to 8 pounds of walnuts and still have enough for baking tomorrow.
uses
let b represent the number of batches of muffins kenji makes.
write an inequality that represents the situation.

Answers

Answer:

Step-by-step explanation:

1/2b + 2 ≤ 8

b ≤ 12

Answer:

Step-by-step explanation:

Prove: ∠1 and ∠14 are supplementary angles.

Answers

Answer:

can you please send the images of figure of these angle

4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received.
How many slices of pizza did Harris eat?

Answers

it’s c i just took that

Given: ΔABC (to the right)
AB=15
BD=9
AD⊥BC
m∠C=30°
Find Perimeter of ABC

Answers

Applying the Pythagorean theorem and the trigonometric ratios, the perimeter of triangle ABC is: 68.8 units.

What is the Perimeter of a Triangle?

The perimeter of a triangle = sum of its 3 sides.

Given the following:

AB = 15 BD = 9m∠C=30°

Use the Pythagorean theorem to find AD considering triangle ADB as a right triangle:

AD = √(15² - 9²)

AD = 12 units

Use the trigonometric ratios to find DC and AC:

sin 30 = AD/AC

sin 30 = 12/AC

AC = 12/sin 30

AC = 24 units

tan 30 = AD/DC

tan 30 = 12/DC

DC = 12/tan 30

DC ≈ 20.8 units

BC = BD + DC = 9 + 20.8

BC = 29.8 units.

Perimeter of triangle ABC = BC + AB + AC

Perimeter of triangle ABC = 29.8 + 15 + 24

Perimeter of triangle ABC = 68.8 units.

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Which of the following graphs shows the solution for the inequality y-4> 2(x+2)?

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Which of the following graphs shows the solution for the inequality
y-4> 2(x+2)?