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3 years ago

What is the value of the larger zero of the function: f(x) = 3x^2– 14x + 15?

Mathematics

1 answer:

AVprozaik [17]3 years ago

4 0

Answer:

Step-by-step explanation:

can you plz tell me what this is is it a multiplt??

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Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equa

Artyom0805 [142]

Answer:

The height of the right trapezoid is $\frac{6}{5+\sqrt{3}}\ units$

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+DH+HA$

we have

$P=6\ units$

$AB=BC=CH=HA=x$ ---> because is a square

substitute

$6=x+x+CD+DH+x$

$6=3x+CD+DH$ -----> equation A

<em>In the right triangle CDH</em>

$sin(30\°)=\frac{CH}{CD}$

$sin(30\°)=\frac{1}{2}$

Remember that $CH=x$

$\frac{1}{2}=\frac{x}{CD}$

$CD=2x$

$tan(30\°)=\frac{CH}{DH}$

$tan(30\°)=\frac{\sqrt{3}}{3}$

$\frac{\sqrt{3}}{3}=\frac{x}{DH}$

$DH=x\sqrt{3}$

substitute the values in the equation A

$6=3x+CD+DH$ -----> equation A

$CD=2x$

$DH=x\sqrt{3}$

$6=3x+2x+x\sqrt{3}$

$6=5x+x\sqrt{3}$

$6=x[5+\sqrt{3}]$

$x=\frac{6}{5+\sqrt{3}}\ units$

5 0

3 years ago

8) A pencil is made up of which composition of 3D solids?

IgorLugansk [536]

The answer should come out to be cylinder and cone

3 0

3 years ago

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A textbook store sold a combined total of 206 math and physics textbooks in a week. The number of physics textbooks sold was 60

vlada-n [284]

Let p represent # of physics texts sold

Let m represent # of maths texts sold

Therefore we have p = m - 60 | because physics texts sold are less than maths by 60

Total sold = 206 = m + p | recall that p = m - 60

We then have 206 = m + m - 60

206 = 2m - 60 | adding 60 to both sides, we have

206 + 60 = 2m | dividing both sides by 2

266/2 = 2m/2

Therefore, m = 133 texts

and p = m - 60 = 133 - 60 = 193

4 0

1 year ago

adam is three years younger than twice bobs age. in 5 years adams age will be 8 years more than bobs age. what are their 2 ages

n200080 [17]

Adam is 9 years old and Bob is 6. Twice Bob’s age is 12, three years younger than that is 9. If Adam is 9 now then in five years, Adam will be 14, which is 8 more than 6.

3 0

3 years ago

The Suarez family pays$85 a month for their television services. Next month the cost will increase by 3% because of an equipment

Olenka [21]

To get your answer, you simply add $85 plus 3 percent. This gives you 87.55

Hope this helps!
♤MidnightQueen

7 0

3 years ago

Read 2 more answers