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Gwar [14]
2 years ago
10

Find the x- and y-intercepts of the parabola y=x2+10x+4

Mathematics
1 answer:
Nuetrik [128]2 years ago
6 0

Answer:

x-intercepts: -5 +/-\sqrt{21}. y-intercept: 4

Step-by-step explanation:

For x-intercepts use the quadratic equation

x= (-b +/-\sqrt{b^2-4ac} )/2a

Fill in your values:

x= (-10 +/-\sqrt{100-16} )/2

And solve

x=-5 +/- \sqrt{21}

For y-intercepts set x=0 and solve. In this case, setting x= 0 gives you y=4.

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Given f(x) = -3x + 1 and g(x) = 4*, find the following combinations:
Nikitich [7]

Step-by-step explanation:

Please refer to the attachment

5 0
3 years ago
HELP ASAP PLEASE If triangle LMN is dilated by a scale factor of 0.5 which of the following statements is not true
sleet_krkn [62]

Answer:

Option A

Step-by-step explanation:

When any triangle is dilated from the pre-image, its sides will never be congruent to the pre-image. However, its angles will be congruent and the triangles will be similar.

7 0
3 years ago
The heights of a maple tree and a cherry tree have a ratio of 5:2. If the maple tree grew 20 cm and 20 cm was cut off the top of
elena-14-01-66 [18.8K]
Let x be the <span>heights of a maple tree and y be the height of the cherry tree.
We know: 
</span>\frac{x}{y} = \frac{5}{2}
<span>The new ratio is obtained like this:
</span>\frac{x+20}{y-20} = \frac{3}{1}.
From the above equation we get x= (y-20)\frac{3}{1} -20.
then \frac{ (y-20)\frac{3}{1} -20}{y} = \frac{5}{2}
Solving the above equation for y we get: y=160
So x=400
So the first tree is (400-160=240) more taller than cherry tree. 
7 0
3 years ago
Suppose that you can only use the set of small letters characters (a-z) and odd numbers (1, 3, 5, 7, 9) to set a password. What
Flauer [41]

Answer:

31^8

Step-by-step explanation:

To create a password, you need to select 8 characters (not necessarily different) from the set {1,3,5,7,9,a,b,c,...,z}. Now, this set has 31 elements: the 26 lowercase letters from the alphabet and the 5 odd numbers (1,3,5,7,9).

Now, there are 31 ways to choose the first character, it can be any element from our set. The second character can also be chosen in 31 ways, because there are not restrictions (repetitions, specific characters, etc). Similarly, the third, fourth, fifth, sixth, seventh and eighth characters have 31 possibilities each one.

The number of passwords is the number of ways of selecting the 8 characters, then by the multiplication principle the number of passwords is 31×31×31×31×31×31×31×31=31^8.

6 0
4 years ago
Use complete sentences to describe why Set A = { X | X is an even whole number between 0 and 2} = ∅
RoseWind [281]

Consider the Set A = {X | X is an even whole number between 0 and 2 } = \Phi.

Since, whole numbers are the set of numbers starting from zero upto infinity.

Even numbers are the numbers which are exactly divisible by '2'.

So, we have to find the even whole number between 0 and 2.

Since, only '1' is a whole number between 0 and 2 which is not an even number as '1' is not divisible by '2'.

Therefore, there is no even whole number between 0 and 2.

So, this set is empty.

Therefore, A = { X | X is an even whole number between 0 and 2} =  \Phi

3 0
3 years ago
Read 2 more answers
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