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sashaice [31]
2 years ago
10

Find the vertex. f(x) = 9x2 + 1​

Mathematics
1 answer:
lidiya [134]2 years ago
4 0

Answer:

vertex = (0, 1 )

Step-by-step explanation:

f(x) = 9x² + 1 ← has it's vertex on the y- axis

let x = 0 in f(x)

f(0) = 9(0)² + 1 = 0 + 1 = 1

vertex = (0, 1 )

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Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's
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Answer:

#1) <u>14</u><u> </u><u>3</u><u>/</u><u>5</u>

Step-by-step explanation:

#1) 147.6 = 147+0.6 = 147+6/10

147.6 = 147+0.6 = 147+6/10gcd(6,10) = 2

147.6 = 147+0.6 = 147+6/10gcd(6,10) = 2147.6 = 147+(6/2)/(10/2) = 147+3/5 = 738/5

#2) 102 = 102/1 = 1020/10

#3) 75 3/5

75.6 = 75+0.6 = 75+6/10

75.6 = 75+0.6 = 75+6/10gcd(6,10) = 2

75.6 = 75+0.6 = 75+6/10gcd(6,10) = 275.6 = 75+(6/2)/(10/2) = 75+3/5 = 378/5

#4) 117 3/5

117.6 = 117+0.6 = 117+6/10

117.6 = 117+0.6 = 117+6/10gcd(6,10) = 2

117.6 = 117+0.6 = 117+6/10gcd(6,10) = 2117.6 = 117+(6/2)/(10/2) = 117+3/5 = 588/5

Here is what I got....

6 0
2 years ago
Read 2 more answers
What is the value if x ?
dexar [7]

Answer:

x=3

Step-by-step explanation:

We have to use the fact that all angles of a triangle add up to 180 and two supplementary angles add up to 180.

First,QRS forms a line, so angle QRT and angle TRS add up to 180 or, if we call angle TRS y for the sake of having it as a variable, 45x+y=180 or y=180-45x

Now we have all three angles of the triangle, and we know all three add up to 180, so startign with our newly found angle, (180-45x)+(25x)+(57+x)=180

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Let me know if you need any further explanation.  

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Varvara68 [4.7K]

<u>Given</u>:

The given expression is (2^3)(2^{-4})

We need to determine how the expression can be simplified.

<u>Simplifying the expression:</u>

Let us determine how the expression can be simplified.

The expression is given by

(2^3)(2^{-4})

Applying the exponent rule that a^{b} \cdot a^{c}=a^{b+c} in the above expression, we get;

2^{3} \cdot 2^{-4}=2^{3-4}

Adding the exponents, we get;

2^{3} \cdot 2^{-4}=2^{-1}

Again, applying the exponent rule a^{-1}=\frac{1}{a}, we get;

2^{3} \cdot 2^{-4}=\frac{1}{2}

Thus, the simplified expression is \frac{1}{2}

Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Therefore, Option D is the correct answer.

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