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Alexus [3.1K]
2 years ago
6

Emerson is making costumes for the

Mathematics
1 answer:
Elis [28]2 years ago
6 0

9514 1404 393

Answer:

  13 costumes

Step-by-step explanation:

The amount of fabric used is the product of the amount per costume and the number of costumes.

  A = na . . . . . A = total area; n = number of costumes; 'a' = area per costume

  46 2/3 = n(3 1/2)

  n = (46 2/3)/(3 1/2) = (140/3)/(7/2) = (140/3)(2/7) = 40/3 = 13 1/3

Apparently there is some waste, as Emerson used more fabric than necessary to make 13 costumes.

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1.Graph f(x) = -1.5x +6<br> 2.Graph f(x) = -1/2x-5
nalin [4]

Ans(1):

Given equation is f(x)=-1.5x+6

we can plug any number like x=0 and x=2 to find the f(x) also called y-value

plug x=0

f(x)=-1.5x+6 =-1.5*0+6 =0+6 =6

Hence first point is (0,6)

plug x=2

f(x)=-1.5x+6 =-1.5*2+6 =-3+6 =3

Hence first point is (2,3)

now we can graph both points then join them to get final graph of f(x)=-1.5x+6

---------------------

Ans(2):

We can repeat exactly same process for f(x) = -1/2x-5.

So the final graph will look like attached picture:


5 0
3 years ago
Which of the following is an extraneous solution of the square root of -3x-2=x+2
yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

\sqrt{-3x-2} =x+2

squared both sides

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

-3x-2=x^2+4x+4

x^2+7x+6=0

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

<u><em>Verify each solution</em></u>

substitute the value of x in the original expression

For x=-6

\sqrt{-3(-6)-2} =-6+2

\sqrt{16} =-4

4=-4 ----> is not true

so

Is an extraneous solution

For x=-1

\sqrt{-3(-1)-2} =-1+2

\sqrt{1} =1

1=1 ----> is true

so

Is the solution

4 0
3 years ago
Find the value of this expression if x= -7<br><br> x^2+5/x+1
Ray Of Light [21]

Answer:

-9

Step-by-step explanation:

Replace x with -7 in the expression:

x^2 + 5 / x + 1

-7^2 + 5 / -7 + 1

49 + 5 / -6

54/-6

simplify the fraction

9/-1 = -9

8 0
2 years ago
You do not need to flip the inequality sign when solving the inequality -3t + 7 ≥ 9. True False
nordsb [41]
Hello!

It is False because t is multiplied by a negative number, so to solve for it you will need to divide both sides by -3 which mean you have to flip the sign. 

Hope this helps!
7 0
3 years ago
Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 81 mm, 7 mm, 6 mm B. 81 mm, 7 mm, 72
Lisa [10]
We know that
The triangle inequality<span> states that for any </span>triangle, t<span>he sum of the lengths of any two sides of a </span>triangle<span> is greater than the length of the third side
</span>so
case <span>A. 81 mm, 7 mm, 6 mm 
6+7 is not > 81

case </span><span>B. 81 mm, 7 mm, 72 mm
72+7 is not > 81

case </span><span>C. 81 mm, 7 mm, 88 mm
81+7 is not > 88

case </span><span>D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok

the answer is the option
</span>D. 81 mm, 7 mm, 77 mm
3 0
3 years ago
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