Carpet Company A

c = 1.35y + 100

where c is the cost and y is the number of square yards.

Carpet Company B

This company charges $2.05 per square yard for the carpet and the installation.

Identify the unit rate in dollars per square yard for each carpet company.

Answers:

[tex]L(1,0) \to L \ ' \ (4.5,0)\\\\J(-1,-1) \to J \ ' \ (-4.5, 4.5)\\\\K(-1,1) \to K \ ' \ (-4.5,4.5)\\\\[/tex]

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

Explanation:

We multiply each coordinate of each point by the scale factor 4.5

For example, point L(1,0) moves to L ' (4.5, 0)  since 4.5*1 = 4.5

This trick only works because the origin is the center of dilation. If the center is some other point, then you'd have to translate first, dilate, then translate back again.

Answer:

  x +2y +4z = 27

Step-by-step explanation:

The parallel plane will have the same coefficients of x, y, z as the given plane. We notice those have a common factor of 2, so the equation can be reduced to ...

  x +2y +4z = constant

This equation is satisfied for every point on the line, so we have ...

  (3 +2t) +2(t) +4(6 -t) = constant . . . . . substituting for x, y, z

  3 +2t +2t +24 -4t = constant

  27 = constant

The equation of the desired plane is ...

  x +2y +4z = 27

The normal to the given plane is (2, 4, 8), and the plane we want is parallel to this one so it has the same normal vector.

When t = 0, the given line, and thus the plane we want, passes through the point (3, 0, 6).

Then the equation of the plane is given by

(2, 4, 8) • (x - 3, y - 0, z - 6) = 0

2 (x - 3) + 4y + 8 (z - 6) = 0

2x + 4y + 8z = 54

or

x + 2y + 4z = 27

Answer:

a) x+3x/2y or (3x+2xy)/2y

b) b^12

c) 4^3 or 64

Step-by-step explanation:

Answer:

1. The cost of the fencing material for each side of the playground.

2. The perimeter of the park

3. The labor fee

4. The cost of the fencing material for the whole park.

Step-by-step explanation:

Hope this helps! :)

Answer:

x²+1/x² = 51

Explanation:

Given x - 1/x = 7 ---(1)

We know the algebraic identity:

a²+b²-2ab = (a-b)²

Or

a²+b² = (a-b)²+2ab

Now,

x²+1/x²

= (x-1/x)²+2*x*(1/x)

= (x-1/x)²+2

:7²+2 [ from (1)] =

= 49+2

= 51

Therefore,

x²+1/x² = 51

Answer:

x=28°

Step-by-step explanation:

supplementary angles equal 180°

So:

3x+2x+x+12=180°

6x+12=180

6x=168

x=28°

Therefore:

3x:

3(28)=84°

2x:

2(28)=26°

x+12:

28+12=40°

Answer:

multiply by 2

Step-by-step explanation:

Answer: It is tho ?

Step-by-step explanation:

Answer: 34/100

Step-by-step explanation:

it is 34% out of 100, so it is 34/100. Reduced is 17/50

Answer:

Step-by-step explanation:

See attachment.

Answer:

4

Step-by-step explanation:

4 sets of strings will cost:

4×5=20

He will have $2 left over. Not enough to buy another set.

Or 5x<=22 DIVIDE BOTH SIDES BY 5

x <= 4.4 since he cannot buy .4 sets (this is a fraction of a set) He can only buy 4 sets

how many 2/3 are in 9/8?

or another way to put it will be

how many times does 2/3 go into 9/8?

well, is simply a division.

[tex]\cfrac{9}{8}\div \cfrac{2}{3}\implies \cfrac{9}{8}\cdot \cfrac{3}{2}[/tex]

Answer:

[tex]10 - \frac{3}{10} n[/tex]

Step-by-step explanation:

hope that is right and hope it helps

Answer:

x = -5

Step-by-step explanation:

log5((5-3x)/((7+x)^2))=1

(5-3x)/(7+x)^2 = 5

5-3x = 5x^2+70x+245

5x^2+73x+240=0

x= -5, x= -48/5

-48/5 is extraneous

x = -5

Answer: is c. 1/25

the question is a year old but thought i'd help out and answer it since i just took the test on a.pex and the only other answer to the question is wrong

The value of the function f(2) is -10.

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find f(-2), we need to substitute -2 for x in the function f(x) = 5x:

So,

f(-2) = 5(-2) = -10

Therefore,

The value of the function f(2) is -10.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer:

( 2 x 10 ) + ( 2 x 7)

Step-by-step explanation:

Hope this helped!

Answer: 34 inches  Perimeter = 2L + 2W

Step-by-step explanation:

A rectangle has two sets of equal side lengths.    We'll assign 10 inches to the length, L, and 7 inches to the width, W.

The perimeter of a rectangle is 2L + 2W

Perimeter, P = 2(10) + 2*(7)

P = 20 + 14

P = 34 inches

Answer:

x = -8

Step-by-step explanation:

Angle 2 would be the same as 139

thus if angle 2 = x+147

then

139 = x + 147

x = -8

Answer:

A - 144

Step-by-step explanation:

everything else would be too far

If any doubt leave a comment

A = 180-90-31

A = 59

Answer: 59

Answer:

Its either A or C

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

In the ordered pair (2,1), 2 is the x-value and 1 is the y-value.

In the first equation, replace x with 2 and y with 1.

8x+7y

= 11

8(2)+7(1)

≟ 11

16+7

≟ 11

23

≟ 11

No, 23≠11.

Plugging (2,1) into the first equation did not result in a true statement. So, (2,1) is not a solution to the system of equations.

Answer:

y = 10; x = -2

Step-by-step explanation:

Because both are equal to y, you can set them equal to each other.

-9x - 8 = -6x - 2

- 6 = 3x

x = -2

y = -9(-2) - 8 = 10

Answer:

x = -3

Step-by-step explanation:

2/3x + 4 = 2

2/3x = 2 - 4

2/3x = -2

2x = -2 * 3

2x = -6

x = -6/2

x = -3

3. The original sequence

TAC - CGC - TTA - CGT - CTG - ATC - GCT

codes for

tyr - arg - leu - arg - leu - ile - ala

while the mutated sequence codes for

TAC - CGC - TTA - TTA - TTA - CGT - GCT - GCT - ATC - GCT

tyr - arg - leu - leu - leu - arg - ala - ala - ile - ala

There are several frameshift mutations involved here:

• the first inserts 6 bases (TTA - TTA)

• the second inserts 1 base (G) before the CTG triplet (underlined)

• the third inserts 2 bases (CT) after the CTG triplet

4. The original sequence is the same as before. The mutated sequence

TAC - CGC - TAA - TTA - TTA - CGT - GCT - GCT - ATC - GCT

codes for

tyr - arg - STOP - leu - leu - arg - ala - ala - ile - ala

Then

• there is a (nonsense) point mutation that swaps T for A in the original TTA triplet (nonsense since it produces a stop codon that would halt replication/expression)

• there is a frameshift mutation that inserts 3 bases (TTA)

as well as two other frameshift mutations that also occurred in the previous part.

Answer: 3000 square feet

Step-by-step explanation: 21x10=210 .     300x10=3000

Answer:

132

Step-by-step explanation:

step one: add all the numbers in the data set.

      107 + 122 + 148 + 135 + 126 + 154

                                         = 792

step two: divide the sum by the how many numbers are in the data set

      792/6 = 132

the mean number of strawberries collected each day is 132 strawberries.

hope this helps!<3

Step-by-step explanation:

it is 50 km in total.

30 km are already covered by the initial rental amount (4000).

what is left is 50-30 = 20 km.

for these 20 km he has to pay 200 for every 5 km.

how many 5 km units are in 20 km ?

well, 20/5 = 4

so, he needs to pay additionally 200×4 = 800php.

therefore, the total cost will be

4000 + 800 = 4800php