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polet [3.4K]
3 years ago
13

What value of b makes the polynomial x2+bc+16 a perfect square

Mathematics
1 answer:
Fynjy0 [20]3 years ago
3 0
For a perfect square

b² = 4*a*c

Comparing ax² + bx + c = 0 to x² + bx + 16

a = 1,    c = 16

<span>b² = 4*a*c
</span>
<span>b² = 4*1*16
</span>
<span>b² = 64
</span>
b = √64

b = 8

The value of b = 8.
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Candice bought 6 dozen eggs and broke 9 eggs how many eggs did she have left
Nadya [2.5K]

Answer:

63

Step-by-step explanation:

12x6=72

72-9=63

the answer is 63

3 0
3 years ago
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John works two jobs. As a security guard he earns per hour. As a landscaper he earns per hour. One week John worked a total of h
wariber [46]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?
IRINA_888 [86]

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

6 0
3 years ago
Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe
Fynjy0 [20]

Answer: The ramp would be 15.5 feet long.

Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

SinC = opposite/hypotenuse

Sin 15 = 4/b

By cross multiplication we now have

b = 4/Sin15

b = 4/0.2588

b = 15.4599

Approximately b = 15.5

Therefore the length of the ramp would be 15.5 feet

6 0
3 years ago
There are 34 empty seats and 16 occupied seats. What is the ratio of empty to occupied seats? a) 34 to 16 b) 17 to 8 c) 8 to 17
Komok [63]

Answer:

A

Step-by-step explanation:

Ratio means comparison, so we have to compare the two given examples, in this state empty and occupied.

one of the most important things to look for during ratios is what comes first. In this statement it says empty to occupied, not occupied than empty/.

if we know that empty is 34 and occupid is 16 than we know our answer is A

Please mark me branliest.

Have a great day!

5 0
3 years ago
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