MATHEMATICS HIGH SCHOOL

If x is a number that is 7 more than y, how do you express x as a function of y?A. x = f(y) = 7 + x
B. x = f(y) = 7 + y
C. y = f(x) = 7x
D. y = f(x) = y – 7
E. y = f(x) = 7 + y

Answers

Answer 1
Answer: I believe the correct answer from the choices listed above is option B. The variable y is the independent variable here and x is the dependent variable so the function can be represented as f(y). The function should be written as:

x = f(y) = 7 + y

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Seven integers, x1, x2, x3, x4, x5, x6, and x7, are picked at random from the set of all integers between 10 and 110, inclusive. If each of these integers is divided by 7 and the 7 remainders are all added together, what would be the sum of the 7 remainders?
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The length of a rectangular room is 7.9m and it's width is 8.6m. Find the area of the room.

Which of the following could be the ratio of the length of the longer leg of a 30 60 90 triangle to the length of its hypotenuse

Answers

for 30 60 90 triangles, the ratio of the side lengths is
(1)/(2) : ( √(3) )/(2) :1
where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)

so the ratio of the longer leg to the hypotenuse is ( √(3) )/(2) :1
or
( ( √(3) )/(2) )/(1)
which equals ( √(3) )/(2)

. Lisa spent $67 for a skateboard and $25 for a protective helmet.. . . . What percent of the total amount that Lisa spent was the price of the skateboard? A. . . 62.7%. . . . . . . . .
B. . . 72.8%. . . . . . . . .
C. . . 75%. . . . . . . . .
D. . . 81.7%. .

Answers

Total amount: $67 + $25 = $92
p = ( 67 x 100 ) : 92 = 72.826 ≈ 72.8 %
Answer: 72.8 %

Which statements accurately describe the function f(x) = 3√18^x? Check all that apply. A. The domain is all real numbers.
B. The range is y > 3.
C. The initial value is 3.
D. The initial value is 9.
E. The simplified base is √2.
F. The simplified base is 3√2.

Answers

Option A is correct: the domain is all real numbers for there is no real value of x for which f(x) does not have a value.

Option B is incorrect: the range is not y > 3, because, for negative values of x, f(x) < 3, e.g. for x = -1, f(x) = 3 * sqrt(18^(-1)) = 3*sqrt(1/18) = 3*0.2357 = 0.7071 < 3.

Option C is correct: f(0) = 3*sqrt(18^0) = 3*sqrt(1) = 3 * 1 = 3

Option D is incorrest: (see working for option C)
The correct options are:

A) The domain is all real numbers;
C) The initial value is 3; and 
F) The simplified base is 3√2.

Explanation:

A) The domain is the set of numbers that can be use for x.  In this function, there are no domain restrictions; this means there are no values for x that will not give you a value for y.  This means that all numbers work, which we say is "the set of all real numbers."

C) To find the initial value (starting point), substitute 0 for x:
f(x) = 3(√18)ˣ
f(0) = 3(√18)⁰
f(0) = 3(1) = 3

Thus the initial value is 3.

F)  The base of the current function is √18; this is because that is what is raised to a power.  If we simplify this, we find the prime factorization of 18, looking for pairs of factors to take out.

The prime factorization of 18:
18 = 2*9
9 = 3*3

This means 18 = 2*3*3; it gives us √18 = √(2*3*3).  We have a pair of 3's under the radical, so we take a 3 out; this leaves a 2 under the radical:
√18 = √(2*3*3) = 3√2.

I really need help, I hope you can help me out please

Answers

Answer:

no

Step-by-step explanation:

they are not similar -

the triangles angles are not congruent which then means that by AA criterion the triangles are not similar.

hope this helps!!

Answer:

Yes they are similar as the obtuse angle of 120 degree is the same and 2 other angles are acute and this example shows 4 degree range in difference. This would change the measure 0.4 only each side.

Similar is different to same, the exact meaning of similar is resemblance, the exact meaning is having a resemblance in appearance, character, or quantity, without being identical.

Step-by-step explanation:

There are 312 calories in six ounces of a certain ice cream. How many calories are there in three pounds?

Answers

1 lb = 16 oz
312/6 = 52 cal/oz
16(3) = 48 oz
52(48) = 2496 calories

Answer:

2496 calorise

Step-by-step explanation:

3 pounds = 3 x 16 = 48 ounces

312 cal = 6 ounces, so the unit rate is ( 312 ÷ 6 = 52) 52 cal per ounce

52 x 48 ounces = 2,496

Glad I could help

W(-3)=-3+7

Find W(-3)=

Answers

Answer:

230

Step-by-step explanation:

230 answer

Answer:  W= -4/3=-1.33333

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

w*(-3)-(-3+7)=0

Pull out like factors :  -3w - 4  =   -1 • (3w + 4)

Solve  :    -3w-4 = 0  

Add  4  to both sides of the equation :  

                     -3w = 4

Multiply both sides of the equation by (-1) :  3w = -4

w = -4/3 = -1.333
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