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elena-14-01-66 [18.8K]
3 years ago
12

The letter tiles shown are placed in a bowl. Matt selects one tile from the bowl.

Mathematics
1 answer:
Julli [10]3 years ago
4 0

Answer:

4/10 or 2/5

Step-by-step explanation:

probability of each letter:

J = 0/10

U = 2/10

M = 1/10

P =  1/10

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(b). Find the values of a and b that make f continuous everywhere.
alexgriva [62]

Answer:

a=-13/10

b=-5/2

Step-by-step explanation:

4 0
3 years ago
Parallelograms help please !
d1i1m1o1n [39]

Answer:

5) x=10

6) x=7

7) x=3

8) x=12

Step-by-step explanation:

5) 19=2x-1

19+1=2x

20=2x

x=10

6) 3x-6=15

3x=21

x=7

7)10=2x+4

10-4=2x

6=2x

x=3

8) x+3=2x-9

3=x-9

x=12

4 0
3 years ago
Please help me solve this...
Ira Lisetskai [31]

Answer:

\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)

Step-by-step explanation:

The standard, factored polynomial function is given by:

f(x)=a(x-p)^n(x-q)^m...

Where <em>a</em> is the leading coefficient,

<em>p</em> and <em>q</em> are factors,

And <em>n </em>and <em>m</em> are the powers or multiplicity they are being raised to.

We know that our polynomial function is of degree 4.

We have a root of multiplicity of 2 at x=-2.

So, our factor is:

(x-(-2))=(x+2)\\

It is has a multiplicity of 2, it is squared. So:

(x+2)^2

We have another root with multiplicity of 1 at x=6.

So, our factor is:

(x-6)

And since it is to the first power, we can write it as is.

Finally, we have another root of multiplicity of 1 at x=2.

So, our factor is:

(x-2)

Therefore, our entire function is:

f(x)=a(x+2)^2(x-6)(x-2)

We still have to determine our leading coefficient, <em>a</em>.

We can use that y-intercept. The y-intercept is at (0, 10). So, when x=0, y=10. By substitution:

10=a(0+2)^2(0-6)(0-2)

Evaluate:

10=a(4)(-6)(-2)

Multiply:

10=48a

Therefore:

\displaystyle a=\frac{10}{48}=\frac{5}{24}

Therefore, our final function is:

\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)

7 0
3 years ago
7 yd 2 feet = blank ft
Svetach [21]
23 ft (1yd equals 3 ft) 7x3 is 21 plus 2 is 23
6 0
3 years ago
Read 2 more answers
The sales tax rate is 5%. If Abdul buys a wheelbarrow priced at $79, how much tax will he<br> pay?
alex41 [277]

Answer:

  • $3.95

Step-by-step explanation:

<h3>Given</h3>

  • Price = $79,
  • Sales tax = 5%.

<h3>Solution</h3>

Find 5% of $79:

  • 79 * 5/100 =
  • 395/100 =
  • 3.95
8 0
1 year ago
Read 2 more answers
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