For u ppl doing the challenges here u go!

Problem 3

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

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

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

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

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:

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.

Answer:

x= -1

Step-by-step explanation:

Answer:

Probability = 1/3

Step-by-step explanation:

The drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks.

This is a total of 10 socks.

Probability of pulling a white socks = 6/10

Since it is not replaced, it means we have 5 white socks left out of a total of 9 now.

Probability of pulling out another white socks = 5/9

Thus;

The combined probability is;

6/10 × 5/9 = 30/90 = 1/3

Hellooooo!

My Answer:

The answer is letter C.

The Explanation:

The probability that the first sock is white is 6/10 and the second one is white is 5/9, so the probability of choosing a pair of white socks is 30/90 = 1/3.

Answer:

0.31x + 2.4 + 3.4p

Step-by-step explanation:

combine like terms

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:

16p+6

Step-by-step explanation:

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:

hi how are you doing

Step-by-step explanation:

Answer:

y = -3x + 7

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

y=4x+6 is the equation simplified and that is what the graph is showing.

Answer:

A  y-2=4(x+1)

Step-by-step explanation:

y-2=4(x+1)

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:

slope= 1/4

y-intercept- (-8)

Step-by-step explanation:

i think i hope this is right !

Answer:

The answer is $96

Step-by-step explanation:

I just finished this there is a graph with 8 and 3. There are 11 graph boxes in all (you add the boxes/ amount  together to get how much total they are).  8 +3=11. Then you divide 132/11=12. You are looking for clothes, so you multiple 12x8=which equals 96. So she spent $96 on clothes

The amount spent on clothes is $96.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Lexi spent $8 on new clothes for every $3 she spent on school supplies.

Lexi spent $132 on clothes and school supplies in all.

The ratio of spending is = 8/3

So, amount spend on new clothes is

= 8/11 x 132

= 8 x 12

= $96

Hence, the amount spent on clothes is $96.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ2

Answer: The symbol is < for both

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:

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:

47

Step-by-step explanation:

You would divide 141 by 3 because there was  three sweatshirts bought, so the answer from that would be the price of one.

141/3=47

Answer:

987654321 divided by 12345678

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It isn’t because if you do the vertical line test and try to put vertical lines all throughout the graph, two dots will touch the same line.

Answer:

58

Step-by-step explanation:

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

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:

-11

Step-by-step explanation:

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.

9514 1404 393

Answer:

  CG = 19

  FB = 14.7

Step-by-step explanation:

The circumcenter is equidistant from the triangle vertices, so GA = GB = GC.

The length of GA is given, so we have ...

  GA = 19 = CG

__

Then the Pythagorean theorem can be used to find FB.

  FB² +FG² = GB²

  FB² = GB² -FG² = 19² -12² = 217

  FB = √217 ≈ 14.7

Answer:

900 yards.

Step-by-step explanation:

The circumference of a circle is the length of the circle's side.

Hence, for every one rotation, the wheel rotates once, and the unicycle travels the distance of the wheel's circumference.

Therefore, for 1000 rotations, and every rotation travelling 0.9 yards, the distance traveled would be 1000 * 0.9 = 900 yards.

Hope this helped!

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 :)