Mario needs to cut 3 bookshelves from a board that is 10 feet long.
The 2nd shelf is 1 foot longer than twice the length of the first shelf.
The remaining shelf is 5 feet longer than the first shelf. If x = length of
the first shelf, write an algebraic equation & solve to find the length of
all three shelves.

Answer:

(a) (7, -3)

(b) (-7, 3)

Step-by-step explanation:

Plug (0,-5) into the equation -

-5 = -5(0)

-5 times 0 is 0

-5 = 0

(0,-5) is NOT a solution to the equation.

Good luck!

Answer:

No, it is not the solution to the equation.

Step-by-step explanation:

(0, -5)

y = -5x

So we have to plug in the values for x and y. 0 is our x value and -5 is our y value.

-5 = -5(0)

-5 = 0

Therefore, (0, -5) is not a solution to the equation

Answer:  To isolate the variable in ¹/₄ x multiply by 4 or divide by 1

Step-by-step explanation:

              Let                  ¹/₄ x = a

multiply by 4:          4 (¹/₄) x  = 4 a

                                      1  x  = 4 a

divide by 1:                    ¹/₁ x  = ⁴/₁ a

                                          x  = 4a    [x is now isolated]

To isolate the variable in 1/4x multiply by 4 or divide by 1/4

From the question, we have the following parameters that can be used in our computation:

Expression = 1/4x

To isolate the variable in 1/4x, we multiply by 4

So, we have

Expression = 1/4x * 4

Expression = x

OR

To isolate the variable in 1/4x, we divide by 1/4

Expression = 1/4x / 1/4

Expression = x

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Answer:

Step-by-step explanation:

124 + 76 = 200 ☺

Step-by-step explanation:

(1 - cos²A)(1 + tan²A) = tan²A

1 + tan²A - cos²A - cos²A · tan²A = tan²A

1 + tan²A(1 - cos²A) - cos²A = tan²A

1 - cos²A + tan²A(sin²A) = tan²A

sin²A + tan²A(sin²A) = tan²A

sin²A (1 + tan²A) = tan²A

sin²A (sec²A) = tan²A

sin²A (1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → Proved

for the given graph :

rate of change = -5

Initial condition = 32

Answer:

A:

Step-by-step explanation:

[tex]m=\frac{18-13}{8-11} =\frac{5}{-3} =-\frac{5}{3}[/tex]

I hope this help you

Answer:

I'm not really sure but I think it's 2

Step-by-step explanation:

So here's what I did;

x³+3x-9=x - 1 +2x

x³+3x - x -2x = 9 - 1

x³= 8

x = ³√8

x = 2

I hope this helps

Answer:

if the size (and shape) of the figure doesn't change then it's congruent

Step-by-step explanation:

Answer:

x =4

y = -2

Step-by-step explanation:

a) x - y = 6

b) 2x + 5y = - 2

a) x = y + 6

b) 2(y+6) + 5y = -2

2y + 12 + 5y = -2

7y = -2 -12

y = -14/7

y = -2

a) x - (-2) = 6

x +2 = 6

x = 6-2

x = 4

Answer:

2

Step-by-step explanation:

subtract the. divide it once

Answer: 4 = 2

Step-by-step explanation:

1. (7-3) = 4

2. 4=2

Answer:

1

Step-by-step explanation:

Answer:

venti, it has more liquid per ounce

Answer:

x > 3

Step-by-step explanation:

Answer:

33600

Step-by-step explanation:

2800×12=33600....

Answer:

???? none- they're all the same and there's no 1/3

Answer:

30 degrees

Step-by-step explanation:

Since all triangles' angles add up to 180 degrees, you can add the sum of the angles you already know and subtract it from 180.

126+24=150

180-150=30

so angle Q = 30 degrees

Answer:

Step-by-step explanation:-

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The required magnitude of the constant of the proportionality is 8.25.

Given that,
The cost of a birthday party at a skating rink is proportional to the number of guests. The skating rink charges $82.50 for 10 guests.

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

Here,
Let the number of the guest be x and the total charge for the party be y,
y = kx
Where K is the constant of proportionality,
Substitute the values in the equation for the number of guests and corresponding charges,
82.50= K(10)
K = 8.25

Thus, the required magnitude of the constant of the proportionality is 8.25.

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Answer:

1. x= -12

2.p= 30

3.c= 9/10 or c= 0.9

4.m= 3

5.k= 5

6.a= 27

Step-by-step explanation:

Answer:

<7 58

<5 47

<6 75

<4 107

<8 73

<9 49

all triangles add up to 180 and all lines add up to 180

Answer:

m, is equal to (4/3)

Step-by-step explanation:

Match the given equation y =(4/3)x-3 to the standard slope-intercept form y = mx + b.  By doing so we see that the slope, m, is equal to (4/3).

Answer:

Im going to give them as ordered pairs, you can pick out the range (Y values): (-2,-4), (-1,-1), (2,8)

Step-by-step explanation:

All that needs to be done for this problem is one thing: substitute the given domain values for the "x" in the equation. Domain is just a fancy way of saying x coordinate. All f(x) is is "function of x." This can still be your Y coordinate, or your range. I hope this process helps!

Answer:

No

Step-by-step explanation:

3x + 2 +5x

if x=5

3(5)+2+5(5)

=15+2+25

=42 which is not equal to 95

No, it doesn't satisfy the equation

Step-by-step explanation:

3x + 2 +5x = 95

Now putting the value of x

3×5 + 2 + 5×5 = 95

15 + 2 + 25 = 95

42 ≠ 95

Hence, x = 5 doesn't satisfy the equation 3x + 2 +5x= 95

Answer:

The solution is x= 2 cubic root 4 -9 or -5.825

Step-by-step explanation:

3(x+9)^3/4=24

3(x^3 + 27)/4=24

3x^3+81/4=24

0.75x^3 +20.25=24

0.75x^3=2.75

x= 2 cubic root 4 -9 or -5.825

Answer:

4.) Cost of cordless phone = $55

cost of each additional handset = $25  

Therefore, the overall cost of the cordless phone, including the 3 extra handsets is:

$55 + 3($25) = $55 + $75 = $130

5.) Given the function, f(d ) = .20d + 14, where:

f(d) = global temperature (in Celsius)

d = number of decades  

To evaluate the value of f (d ) at f(10), you'll have to substitute the value of d = 10 as input into the function:

f(10) = .20(10) + 14

f(10) = 2 + 14

f(10) = 16

6.) Value of f(10):

    In 10 decades, the predicted global temperature will be 16° Celsius.

7.) The correct answer is B. The global temperature f(d) depends on the number of decades, d.

Explanation: the independent variable is d →  it is the input of the function. The output primarily depends on the given value of input.

8.) Given the function, f(t ) = 0.2t

where t = represents number of days elapsed since the planting of the seed.

         Evaluate f(40):

        f(40) = 0.2(40)

        f(40) = 8

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Answer:

well it isn't hard

have a nice day

Answer:

3 91/100 or 3.91

Step-by-step explanation: