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antoniya [11.8K]
2 years ago
14

For how many positive integer values of x is the sum x^2+4x+4 less than 20?

Mathematics
1 answer:
fredd [130]2 years ago
3 0
1^2 is 1+4 times 1 is 5 plus 4 is 9
2^2 is 4+4 times 2 is 12 plus 4 is 16
3^2 is 9+ 4 times 3 is 21 XXXXXXX==> 2 times
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show the sample space of a toss of two dice as a list denote the event of a sum of 3 or 6 or 9 on the list
Ratling [72]
The sample space is:
(1, 1); (1, 2) - sum of 3; (1, 3); (1, 4); (1, 5) - sum of 6; (1, 6);
(2, 1) - sum of 3; (2, 2); (2, 3); (2, 4) - sum of 6; (2, 5); (2, 6);
(3, 1); (3, 2); (3, 3) - sum of 6; (3, 4); (3, 5); (3, 6) - sum of 9;
(4, 1); (4, 2) - sum of 6; (4, 3); (4, 4); (4, 5) - sum of 9; (4, 6);
(5, 1) - sum of 6; (5, 2); (5, 3); (5, 4) - sum of 9; (5, 5); (5, 6);
(6, 1): (6, 2); (6, 3) - sum of 9; (6, 4); (6, 5); (6, 6)
4 0
3 years ago
Which expression is NOT equivalent to the expression shown?
Leokris [45]
Hey there!

Let's first simplify this expression using our rules of exponents.

We know that:

1)   (a^b)^c = a^{bc}

And:

2)  a^b + a^c = a^{b+c}

Finally:

3)  x^{b} /x^c = x^{b-c}

One more:

4)  a^0 = 1

Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.

Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.

For the 7^12/7^12, we know that's what we just got so it equals one. For the 1, well, one equals one. For the next one, referring to our last rule, 4, anything to the power of 0 equals one, therefore that's also equal to one.

Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.

Therefore, your answer is:

7^{12}/ 7^{36}

Hope this helps!
7 0
3 years ago
Can someone help me with this problem:)
kogti [31]

Answer:

Therefore,

93.6 feet tall is the tower from the ground.

Step-by-step explanation:

Given:

x = Opposite side to angle 60

50 ft = Adjacent side to angle 60

7 ft =  height of boy

So Height of the tower will be,

Height\ of\ tower=x+7

To Find:

Height of the tower = ?

Solution:

In Right Angle Triangle , Tangent Identity we have,

\tan 60= \dfrac{\textrm{side opposite to angle 60}}{\textrm{side adjacent to angle 60}}

Substituting the values we get

1.732= \dfrac{x}{50}\\\\x=86.6\ ft

Substituting "x"  For Height of tower we get

Height\ of\ tower=86.6+7=93.6\ ft

Therefore,

93.6 feet tall is the tower from the ground.

5 0
3 years ago
F(x)=2x<br> f(3)<br> Use the following function rule to find
vovangra [49]

Step-by-step explanation:

Given

f(x) = 2x

f(3) = 2 * 3 = 6

Hope it will help):)

4 0
2 years ago
Read 2 more answers
Hello can you please help me posted picture of question
ASHA 777 [7]
The correct answer is A because a(in the equation) dictates slope and, if negative, think opposite
7 0
3 years ago
Read 2 more answers
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