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solong [7]
3 years ago
8

The probability of a certain plant growing taller than 4 meters is 1/3. If I plant 2 of these plants, find the probability that

both of them will grow more than 4 meters tall.
Mathematics
1 answer:
lana [24]3 years ago
5 0
\frac{1}{3}^2\\\frac{1}{3}*\frac{1}{3}\\\frac{1}{9}

1 / 9
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Find the quadratic function y=​f(x) whose graph has a vertex ​(−3​,4​) and passes through the point ​(−7​,0). Write the function
olganol [36]

Answer:

Step-by-step explanation:

This is a parabola since a quadratic is a parabola.  The standard form for a parabola is y = ax² + bx + c

but before we do that, we will use the vertex form, since it will make our work easier at the beginning.  

First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be

y=-|a|(x - h)² + k

The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front.  So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex:  x = -7, y = 0, h = -3, k = 4

0 = a(-7 - (-3))² + 4 and

0 = a(-7 + 3)² + 4 and

0 = a(-4)² + 4 and

0 = a(16) + 4 and

0 = 16a + 4 and

-4 = 16a so

a=-\frac{1}{4}

Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.

y=-\frac{1}{4}(x+3)^2+4

Now we will FOIL out what's inside the parenthesis to get

y=-\frac{1}{4}(x^2+6x+9)+4

Simplify by distributing the -1/4 into the parenthesis:

y=-\frac{1}{4}x^2-\frac{3}{2}x-\frac{9}{4}+4

Combine like terms to get

y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{7}{4}

And there you go!

5 0
3 years ago
Can someone please help me with this question
Tanzania [10]

Answer:

B) [1, 4, 7]

Step-by-step explanation:

Substitute 0 in

f(0) = 3(0) + 1

Multiple

f(0) = 0 + 1

f(0) = 1

Substitute 1 in

f(1) = 3(1) + 1

f(1) = 3 + 1

f(1) = 4

Substitute 2 in

f(2) = 3(2) + 1

2 = 6 + 1

f(2) = 7

8 0
2 years ago
Read 2 more answers
Select the equation of the line that passes through the .5,7 and is perpendicular to the line x equals 4
lions [1.4K]
Hello!

To be perpendicular to x = 4, the line must be y = something. This eliminates answer choices #2 and #4. Also, to pass through the point (.5, 7), the line must be y = 7.

So answer choice #3.

Hope this helps!! Let me know if you have ANY questions.
8 0
3 years ago
Match the vocabulary to the part of expression below
Fantom [35]

Answer:

Gas up in my room I don’t know how much you have to do that yet but

Step-by-step explanation:

Abc news I didn’t see you yesterday I didn’t answer you I didn’t answer your phone I didn’t answer your question I don’t understand why

5 0
2 years ago
The fraction bar represents which equation?
Vera_Pavlovna [14]

Answer:

what equation silly

Step-by-step explanation:

3 0
3 years ago
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