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Naily [24]
2 years ago
7

Consider the following quadric equation

Mathematics
1 answer:
a_sh-v [17]2 years ago
5 0

Answer:

21x^2 - 23x - 20 = 0

Step-by-step explanation:

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I don't think you can as long as your not plus.

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3 years ago
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What is the least common multiple (LCM) of 6 and 10?<br> OA. 2.<br> OB. 20<br> O C. 30<br> OD. 60
Naily [24]

Answer:

30

Step-by-step explanation:

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4 0
3 years ago
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Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture
ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0
3 years ago
The ratio of boys to girls in a school chorus is 6:3. If 1/2 of the boys and 1/3 of the girls wore hats in the performance, what
Nikitich [7]
6:3 boys to girls.
say for the sake of it, there are 60 boys and 30 girls.that makes 90 children.if 1/2 of the boys wore hats, then 30 boys wore hatsif 1/3 of the girls wore hats, then 10 girls wore hatsif 30 boys and 10 girls wore hats, then 40 children wore hatsif 40 children wore hats, then 40/90 children wore hats40/90 can be simplified to 4/94/9 children wore hats

5 0
3 years ago
A value 5 times a smaller number is 1 less than a larger number. their difference is 73
salantis [7]

Answer:

The numbers are 18 and 91

Step-by-step explanation:

You can translate the information to two equations:

<em>a value 5 times a smaller number is 1 less than a larger number</em>

5a = b - 1

<em>their difference is 73</em>

b - a = 73

Then you should merge one equation into the other, thereby eliminating one variable. You can do this any way you want. I choose to rewrite the first equation as:

b = 5a + 1

Now I can write 5a+1 in the second equation at the place where b was:

5a + 1 - a = 73

It is now an equation with only one variable, solve by simplifying

4a = 72

a = 18

Now b can be found using b = 5a + 1

b = 91

8 0
3 years ago
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