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spayn [35]
3 years ago
14

Which of the following mapping diagrams does not represent a function?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer:

C

Step-by-step explanation:

C => 7 is mapped into both 8 and 12, and in a function, this is not allowed

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Over the last 3 months, Janet exercised a total of 101 hours. She exercised 4 hours more during the second month than the first
olganol [36]

In 1st month let she exercised h hours

in second month she exercised h+4 hours

in third month she exercised h+4-3=h+1 hours

Now

  • h+h+4+h+1=101
  • 3h+5=101
  • 3h=96
  • h=32hours
3 0
2 years ago
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If the total area of a picture measuring 10 inches by 12 inches plus a matting of uniform width surrounding the picture is 224 s
ELEN [110]
Let
x-----------> <span>uniform width surrounding the picture

we know that
(10+2x)*(12+2x)=224-----> 120+20x+24x+4x</span>²=224
4x²+44x+120-224=0
4x²+44x-104=0

using a graph tool-----> to resolve the second order equation
see  the attached figure

the solution is
x=2 in

the answer is
2 inches

4 0
3 years ago
#7: Five containers, each weighing the same amount, were placed on a 30-pound
Ede4ka [16]

Answer:

Option (B)

Step-by-step explanation:

Let the weight of one container = x pounds

Therefore, weight of 5 containers = 5x pounds

Weight of the platform = 30 pounds

Total weight of the platform and containers = (5x + 30) pounds

If the maximum weight that can be lifted by the cable = 780 pounds

Inequality representing this situation will be,

(5x + 30) < 780

5x < 780 - 30

5x < 750

x < 150

Therefore, Option (B) is the answer.

6 0
3 years ago
What do they call the international, hula hoops championship?<br> Its for a math worksheet
lapo4ka [179]
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7 0
3 years ago
Solve for x in the equation x2 - 4x-9 = 29.
erastova [34]

Answer:

x=2+\sqrt{21}\\\\x=2-\sqrt{21}

Step-by-step explanation:

One is given the following equation;

x^2-4x-9=29

The problem asks one to find the roots of the equation. The roots of a quadratic equation are the (x-coordinate) of the points where the graph of the equation intersects the x-axis. In essence, the zeros of the equation, these values can be found using the quadratic formula. In order to do this, one has to ensure that one side of the equation is solved for (0) and in standard form. This can be done with inverse operations;

x^2-4x-9=29

x^2-4x-38=0

This equation is now in standard form. The standard form of a quadratic equation complies with the following format;

ax^2+bx+c

The quadratic formula uses the coefficients of the quadratic equation to find the zeros this equation is as follows,

\frac{-b(+-)\sqrt{b^2-4ac}}{2a}

Substitute the coefficients of the given equation in and solve for the roots;

\frac{-(-4)(+-)\sqrt{(-4)^2-4(1)(-38)}}{2(1)}

Simplify,

\frac{-(-4)(+-)\sqrt{(-4)^2-4(1)(-38)}}{2(1)}\\\\=\frac{4(+-)\sqrt{16+152}}{2}\\\\=\frac{4(+-)\sqrt{168}}{2}\\\\=\frac{4(+-)2\sqrt{21}}{2}\\\\=2(+-)\sqrt{21}

Therefore, the following statement can be made;

x=2+\sqrt{21}\\\\x=2-\sqrt{21}

8 0
3 years ago
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