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kolezko [41]
3 years ago
6

F(x)=-3(x-2)^2+27 Reveal the y intercept

Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

The y-intercept is: (0, 15)

The graph is also attached below.

Step-by-step explanation:

Given

f\left(x\right)=-3\left(x-2\right)^2+27

<u></u>

<u>Determining the y-intercept</u>

As we know that y-intercept is the point on a graph where x = 0

so

Putting x = 0 in the function

y=-3\left(0-2\right)^2+27

y=-2^2\cdot \:3+27

y=-12+27

\mathrm{Add/Subtract\:the\:numbers:}\:-12+27=15

y=15

Therefore, the y-intercept is: (0, 15)

The graph is also attached below.

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Please explain how to do this one as well ...
kirza4 [7]

Answer:

x = 13

Step-by-step explanation:

Step 1: Define

f(x) = (x - 1)/2

f(x) = 6

Step 2: Substitute and solve for <em>x</em>

6 = (x - 1)/2

12 = x - 1

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4 0
3 years ago
14(5-1/5×25)+2÷4×1 How Do I Evaluate This Expression ?
True [87]
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3 years ago
An instructor gives her class the choice to do 7 questions out of the 10 on an exam.
Maksim231197 [3]

Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

10C7=\frac{10!}{7!(10-7)!}=120

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

(5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

(5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

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So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

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6 0
3 years ago
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DENIUS [597]

Answer:

10-5g >80

Step-by-step explanation:

10-5g >80

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8 0
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4 0
3 years ago
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