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beks73 [17]
4 years ago
15

x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Wh

ich of the following is NOT a possible value for y + b?
Mathematics
1 answer:
Mademuasel [1]4 years ago
5 0

Answer:

y + b > 15

Step-by-step explanation:

given data

positive integers = x, y, a, b

x divided by y then remainder = 6

a divided by b then remainder = 9

to find out

possible value for y + b

solution

we know that here when  x divided by y then remainder is 6

its mean y is greater than 6 and when a divided by b then remainder is 9

so its mean b is greater than 9

and we know remainder is less than divisor

so here y + b must be greater than = 6 + 9

y + b > 15

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Evaluate the following expression.<br> (5x)"<br> 1
almond37 [142]

Answer:

1

Step-by-step explanation:

Anything to the power of zero is one

8 0
4 years ago
How many 3/4s are in 3 2/4
MArishka [77]

Answer:

the answer is 3

Step-by-step explanation:

First change the whole number (3) to quaters or fraction

3x \frac{4}{4} = \frac{12}{4}

Now, add

\frac{2}{4} + \frac{12}{4} = \frac{14}{4}   Since, we have the same common denominator

now divide

14÷4 =3.5 = 3\frac{2}{4}

Therefore, there are 3 of 3/4 with a remainder of  \frac{2}{4} in 3 \frac{2}{4}.

7 0
3 years ago
What is the slope-intercept equation for the line below 
jek_recluse [69]

Step-by-step explanation:

slope/gradient

1 - (-4) / 4 - 0 = 5/4

y-intercept is -4 (this is the dot on y)

so the line equation is

y = 5/4x - 4 answer d

6 0
3 years ago
I would enjoy a brief explanation for each one thank you!☺️
Ghella [55]

Step-by-step explanation:

1. 4 3/4=19/4

53/2=13/2

the total change of square will be. 19/4 + 13/2= 19+26/4=45/4

2. total change is 0.7+0.4=1.1

3.-7 1/6= -43/6

3 5/6= 23/6

-43/6 + 23/6 =-20/6 = -10/3

4. metals=2.625(m)

paper=5.58(p)

glass= x

total = 9.5(t)

m + p + x = t

2.625 + 5.58 + x =9.5

8.205 + x = 9.5

x = 9.5 - 8.205

x = 1.295

Hope That Helped

6 0
3 years ago
Find the absolute maximum and absolute minimum values of f on the given interval.
anyanavicka [17]

The question is missing parts. Here is the complete question.

Find the absolute maximum and absolute minimum values of f on the given interval.

f(x)=xe^{-\frac{x^{2}}{32} } , [ -2,8]

Answer: Absolute maximum: f(4) = 2.42;

              Absolute minimum: f(-2) = -1.76;

Step-by-step explanation: Some functions have absolute extrema: maxima and/or minima.

<u>Absolute</u> <u>maximum</u> is a point where the function has its greatest possible value.

<u>Absolute</u> <u>minimum</u> is a point where the function has its least possible value.

The method for finding absolute extrema points is

1) Derivate the function;

2) Find the values of x that makes f'(x) = 0;

3) Using the interval boundary values and the x found above, determine the function value of each of those points;

4) The highest value is maximum, while the lowest value is minimum;

For the function given, absolute maximum and minimum points are:

f(x)=xe^{-\frac{x^{2}}{32} }

Using the product rule, first derivative will be:

f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} )

f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} ) = 0

1-\frac{x^{2}}{16}=0

\frac{x^{2}}{16}=1

x^{2}=16

x = ±4

x can't be -4 because it is not in the interval [-2,8].

f(-2)=-2e^{-\frac{(-2)^{2}}{32} }=-1.76

f(4)=4e^{-\frac{4^{2}}{32} }=2.42

f(8)=8e^{-\frac{8^{2}}{32} }=1.08

Analysing each f(x), we noted when x = -2, f(-2) is minimum and when x = 4, f(4) is maximum.

Therefore, absolute maximum is f(4) = 2.42 and

absolute minimum is f(-2) = -1.76

8 0
3 years ago
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