MATHEMATICS HIGH SCHOOL

Which expression is equivalent to n2 + 26n + 88 for all values of n?(n + 8)(n + 11)

(n + 4)(n + 22)

(n + 4)(n + 24)

(n + 8)(n + 18)

Answers

Answer 1
Answer:

Answer:

Option B is correct.

The expression which is equivalent to  n^2+26n+88  is; (n+22)(n+4)

Explanation:

Given the equation: n^2+26n+88 for all values of n.

The quadratic equation in this form; ax^2+bx+c =0

First find two numbers that multiply to give ac and add to give b.

From the given equation;

a =1 , b = 26 and c =88

then,

the two number that multiply to give ac =88 is, 22 or 4

and they add up to give b=26 (i.e 22+4)

Now, rewrite the middle term i.e 26n with 22n and 4n , we have

n^2+22n+4n+88=0

Now, factor the first two terms and last two terms,

n(n+22)+4(n+22)

we see that (n+22) is common to both terms so, we have;

(n+22)(n+4)

Therefore, the expression (n+22)(n+4) is equivalent to  n^2+26n+88

Check:

(n+4)(n+22) = n\cdot n+ 22n+4n+88=n^2+26n+88   [ True]
Answer 2
Answer: Solutions 

The expression equivalent to n^2 + 26n + 88  is 

n^2 + 26n + 88
(n + 4)(n + 22)

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Let f(x) = x^2 + 6 and g(x) = x+8/x. Find (g ° f)(-7)

Answers

(g o f)(x)=g(f(x))

basically put f(x) for every x in g(x) or evaluate f(x) for taht given value of x and then sub that for x in g(x)
evaluate woould be easier
f(-7)=(-7)^2+6
f(-7)=49+6
f(-7)=55

sub for x in g(x)
g(55)=55+8/55
g(55)=63/55
g(55)=1.145454545454

answer would be 63/55
Short Answer: 55.145454545...
Working Out: gof(x) = (x^2 + 6) + 8/(x^2 + 6)
gof(-7) = ((-7)^2 + 6) + 8/((-7)^2 + 6)
= (49 + 6) + 8/(49 + 6)
= 55 + 8/55
= 55 + 0.145454545...
= 55.145454545...
                      

An airline flies between 6 airports. How many different flight paths can it offer, if it lands three times and never stays in the same place twice?

Answers

Answer:

the airline can offer 20 different flight paths under the given conditions.

Step-by-step explanation:

If the airline has 6 airports and the plane lands three times without staying in the same place twice, this is essentially a permutation problem. You want to find the number of ways to arrange 3 distinct airports out of 6.

This can be calculated using the formula for permutations of "n" items taken "r" at a time:

nPr = n! / (n - r)!

Where "n" is the total number of items (airports in this case) and "r" is the number of items to be arranged (3 landings in this case), and "!" denotes factorial.

So, in your case, the calculation would be:

6P3 = 6! / (6 - 3)!

= (6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)

= 120 / 6

= 20

So, the airline can offer 20 different flight paths under the given conditions.

Solve 2(x + 1) = 2x + 2.

Answers

2(x+1)=2x+2
^^^^^^2 gets distributed to both sides in the brackets.
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B) ΔAED ≅ ΔACB
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Answers

I saw the image of the triangle. It is a right triangle.

AD is the long leg ; AE is the short leg ; DE is the hypotenuse

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Dilated to ACB
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its a bc i hade this on a test and its a and i got it right so a.

Ada writes 10 + 8 = 18 on the board. Maria wants to use the commuatative property of addition to rewrite adas addition sentence. What number sentence should Maria write ?

Answers

"commutative property" in addition and multiplication means that you can exchange the places of integers in addition and multiplication and still get the same answer.

For this question:
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The equation of a circle is given below:x squared minus 4 x plus y squared minus 6 y minus 7 equals 0

Identify the center and radius of the circle.

Group of answer choices

Center: left parenthesis 2 comma 3 right parenthesis
Radius: 20

Center: left parenthesis 4 comma minus 6 right parenthesis
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Answers

Given:

The equation of the circle is

We need to determine the center and radius of the circle.

Center:

The general form of the equation of the circle is

where (h,k) is the center of the circle and r is the radius.

Let us compare the general form of the equation of the circle with the given equation  to determine the center.

The given equation can be written as,

Comparing the two equations, we get;

(h,k) = (0,-4)

Therefore, the center of the circle is (0,-4)

Radius:

Let us compare the general form of the equation of the circle with the given equation  to determine the radius.

Hence, the given equation can be written as,

Comparing the two equation, we get;

Thus, the radius of the circle is 8
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