The following graph represents the cost and revenue functions for custom-made computers. How many computers
have been sold at the break-even point?

a 12
b 9
C 5
d. 0

Problem 3

I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.

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Problem 4

To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.

(3x+7)^2 - 84x = (3x-7)^2

(3x+7)(3x+7) - 84x = (3x-7)^2

(9x^2+21x+21x+49) - 84x = (3x-7)^2

9x^2+42x+49-84x = (3x-7)^2

9x^2-42x+49 = (3x-7)^2

(3x-7)^2 = (3x-7)^2

The two formulas

may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49

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Problem 5

x + 1/x = 11

a + b = 11 .... where a = x and b = 1/x

(a+b)^2 = 11^2

a^2 + 2ab + b^2 = 121

x^2 + 2*x*(1/x) + (1/x)^2 = 121

x^2 + 2 + 1/(x^2) = 121

x^2 + 1/(x^2) = 121-2

x^2 + 1/(x^2) = 119

An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.

Answer:

115

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₂₀ = 1 + (19 × 6) = 1 + 114 = 115

We are required to find the 20th term of the linear sequence.

The 20th term of the linear sequence 1,7,13,19,25 is 115

Given:

1, 7, 13, 19, 25

nth term = a + (n - 1)d

where,

n = number of terms

= 20

a = first term

= 1

d = common difference = 7 - 1

= 6

So,

nth term = a + (n - 1)d

20th term = 1 + (20 - 1)6

= 1 + (19)6

= 1 + 114

= 115

20th term = 115

Therefore, 20th term of the linear sequence 1,7,13,19,25 is 115

Read more:

https://brainly.com/question/17827686

Answer:

f < -2

Step-by-step explanation:

f+ 4 < 2

 -4.   -4

f < -2

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

the second

Step-by-step explanation:

Answer:

The measure of ∠ZPX is 63°

Step-by-step explanation:

The given parameters are;

The incenter of the triangle = P

m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet

Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;

The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP

Therefore, ∠KXP = ∠LXP = 31°

∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°

∠KXL = 62°

Similarly;

The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK

Therefore, ∠PYJ = ∠PYK = 27°

∠KYJ = ∠PYJ  + ∠PYK = 27° + 27° = 54°

∠KYJ = 54°

In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate

∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°

∠LZJ = 64°

The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ

Therefore, ∠PZL = ∠PZJ

∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°

∠PZL = 64°/2 = 32° = ∠PZJ

In ΔZPX, we have;

∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate

∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°

∠ZPX = 63°

The measure of ∠ZPX = 63°

Answer:

Step-by-step explanation:

Mike is at the shop for school supplies. He sees some pencils he wants to buy. He sees that if he buys twelve of the same item, the store will take off $8. How much will twelve pencils cost at the store if one pencil is $5.99?

Equation: 12x-8

12x-8 =

12(5.99) - 8 =

71.88 - 8 =

$63.88

Hope this helps:)

The word problem that can be modeled by the

expression → 12x - 8 is written and solved below.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is the following expression -

12x - 8

The world problem is as follows -

An ice cream store sells different flavours of ice cream at different rates. The cost of chocolate flavored ice cream is $12 per piece. If a person buys more than 15 ice - creams and wants it to be packed, the extra cost of packaging is decided by the following formula as →

cost of packaging = c[p] = (n/2) + 2

where n is the cost of ice cream.

If sam buys 'x' ice creams of chocolate flavor for his birthday party, calculate the total amount that sam has to pay to the shopkeeper.

Solution -  

Cost of 1 chocolate flavored ice cream = $12

Cost of x chocolate flavored ice cream = $(12x)

Since, 20 > 15, the extra cost of packing will be -

c[p] = n/2 + 2 = 12/2 + 2 = $8

The equation representing the total cost to be paid is -

Total cost [y] = 12x + 8

y = 12x + 8

Therefore, the word problem that can be modeled by the

expression → 12x - 8 is written and solved above.

To solve more questions on making word problems, visit the link below-

https://brainly.com/question/28756658=

#SPJ2

Answer:

-3/7 + 1/7 equals - 2/7

Step-by-step explanation:

Think of it this way: 3/7- 1/7, then add the negative

Hopefully this helps you!

Answer:

-2 / 7 . Crown?

Step-by-step explanation:

1 / 7  + ( -3 ) / 7 = -2 / 7

Because the positive number is bigger than the negative number on a number line.

Negative numbers are on the left of a number line

Positive numbers are on the right of a number line

If you draw a number line you would go backwards 1 then -3, would become -2 because -2 is greater than -3

Hope this helps.

CAN I also get the crown from your other question and on here too?

Answer:

ill try to help you

Step-by-step explanation:

1. y=3x+1

2. y= -1.5x+3

3. y=0.5x-3

4. y= 3x

hope this helps

take care

Answer:

58

Step-by-step explanation:

Total area = 7 × 10 - 6 × 2 = 70 - 12 = 58 units²

Answer:

[tex]110cm^{3}[/tex]

Step-by-step explanation:

[tex]50cm^{3} + 60cm^{3} = 110cm^{3}[/tex]

The volume of an object stays the same no matter how you shape it, so the volume of the new sphere is the sum of the volume of the two metal spheres assuming that nothing is lost during the process of creating the new sphere.

Answer:

>

Step-by-step explanation:

because 16 is greater than 12

Answer: y = -2/5x + 10

Step-by-step explanation:

y − 6 = − 2/5 (x − 10)

do distributive property

y - 6 = -2/5x + 4

add six to both sides

y = -2/5x + 10

boom the answer :v

Answer:

Using distribute property

0.5(8a)(a) + 0.5(6b)(a) + 4b

4a^2 + 3ab + 4b

Step-by-step explanation:

Answer:

4a+3ab +4b

Step-by-step explanation:

0.5(8a+6b) a +4b

4a +3b*a +4b

4a+3ab +4b

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.x≈−0.00413995,1.6090059

Step-by-step explanation:

Answer:

X=-8

Step-by-step explanation:

81^(x-4)=9^3x

(9^2)^(x-4)=9^3x

9^(2x-8)=9^3x

Same base socompare both sides

So 2x-8=3x

2x-3x=8

-x=8

X=-8

So the value of X is -8

Answer:

x= -1

Step-by-step explanation:

Answer:

987654321 divided by 12345678

Step-by-step explanation:

Answer:

the ratio is 1:50

this means that 1 meter in the drawing is equal to 50 meters in real life, but that is a complicated way of stating something simple since drawings are not generally measured in meters.

the door is 0.8 meters wide or 80 centimeters wide

in our drawing, the door should be 80 / 50 = 1.6 centimeters wide

the whole purpose of a scale is to allow us to work with smaller units, that is why we have to work with them. It is true that 0.016 meters = 1.6 centimeters, but as I said before, writing the answer in meters just complicates things and makes them harder to understand. You could also say it is 0.000016 kilometers wide and it would be right, but too confusing.

1) x=1

2) x=-4

hope that helped

Answer:

7.5×10^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope this helps <3

Answer: 7.5

Step-by-step explanation:

Answer:

y = -3x + 7

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Answer:

0.31x + 2.4 + 3.4p

Step-by-step explanation:

combine like terms

Answer:

slope= 1/4

y-intercept- (-8)

Step-by-step explanation:

i think i hope this is right !

Answer

I think it is B or C since there is an angle it can not be A

Step-by-step explanation:

I think it is B since there is 1 angle and 2 sides.

Answer:

C

Step-by-step explanation:

Lets see what we have,

So far we have a side and an angle congruent.

But wait, if two lines intersect, the angle of intersection between the two are equal meaning we have a second angle, and we know now as a result the third angle is 180 minus the two known angles

This means its a Side Angle Angle, however neither of these show this so C

Hope this helps :)

Answer:

hi how are you doing

Step-by-step explanation:

Answer:

False because its -4 if it

Answer:

The required equation of the graph with the coordinates of (4, -1) will be:

The graph is also attached.

Step-by-step explanation:

Given the coordinates (4, -1)

If we put the coordinate values (4, -1) in the given equations, we determine that only [tex]y=\left(x-4\right)^2-1[/tex] is the valid equation as it satisfies the given coordinate value.

For example, putting  (4, -1) in the equation

[tex]y=\left(x-4\right)^2-1[/tex]

[tex]\left(-1\right)=\left(4-4\right)^2-1[/tex]

[tex]-1=\left(0\right)^2-1[/tex]

[tex]-1=0-1[/tex]

[tex]-1=-1[/tex]

So, the equation [tex]y=\left(x-4\right)^2-1[/tex] is true for the coordinate values (4, -1).

Therefore, the required equation of the graph with the coordinates of (4, -1) will be:

Please check, the graph is also attached.

Answer:

20m

Step-by-step explanation:

Given the height reached by the ball modelled by the equation

h = -d² + 8d+4.

The velocity of the balk at its maximum height is 0. Hence

v = dh/dd = 0

v = -2d + 8

0 = -2d+8

2d =8

d =8/2

d = 4

Substitute d = 4 into the equation to get the maximum height reached

h = -(4)² + 8(4)+4

h =-16+32+4

h = -16+36

h = 20

Hence the maximum height reached by the ball is 20m