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Eddi Din [679]
4 years ago
11

Find a nonpermissible replacement for y in this expression y-3/y+3

Mathematics
1 answer:
Darya [45]4 years ago
6 0

the denominator (bottom) of the fraction cannot have the value 0.  Division BY zero is undefined. The question becomes, then, what value of y makes y - 3 = 0?


Solve that equation for y by adding 3 to both sides, and you get y = 3. That is the nonpermissible replacement for y

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6b 4r represents the total cost of the rice and beans Gabriel bought. If he returns 2 bags of beans and 1 bag of rice, the expre
Julli [10]

The total cost of rice and beans bought by Gabriel is 6b + 4r.

The simplified expression of the final cost is 4b + 3r.

<h3>What is simplification?</h3>

Simplification can be defined as a process of replacing a mathematical expression by the cancellation of common factors, regrouping of terms in the same variable to get the more simple form of the given expression.

Given that

6b + 4r represents the total cost of the rice and beans Gabriel bought.

He returns 2 bags of beans and 1 bag of rice.

This can be written as,

\rm 2b+1r

Then, the total number of bags of rice and beans is given as,

\rm (6b+4r)- (\rm 2b+1r)

When we simplify the above equation, we get,

\rm (6b+4r)- (\rm 2b+1r)\\\\6b+4r-2b-1r\\\\4r+3r

Hence we can conclude that the expression for rice and beans after the return is (4b+3r).

To know more about simplification, follow the link given below.

brainly.com/question/12616840.

8 0
2 years ago
According to an article the bottled water you are drinking may contain more bacteria and other potentially carcinogenic chemical
Fofino [41]

Answer:  3687

Step-by-step explanation:

Given : Prior proportion of bottles that exceeds government levels = \dfrac{1}{3}

Margin of error : E=0.02

Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

The formula to find the sample size is given by :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

i.e. n=\dfrac{1}{3}(1-\dfrac{1}{3})(\dfrac{2.576}{0.02})^2

3686.54222222\approx3687

Hence, the minimum required sample size =3687

8 0
4 years ago
Which statements best describe the dot plot or box plot ? Check all that apply.Need answer ASAP
zloy xaker [14]
<h3>The 2 answers are: A and D</h3>

==========================================

Explanations

A. True. This is because there are 13 dots shown. You cannot use the box plot to determine this.

B. False. This contradicts choice A above. Also, we cannot use the box plot to determine how many people there are. What 12-7 = 5 is showing is that the range is 5. This means the range for the age of runners is 5 years. In other words, 5 years is the span from the youngest (age 7) to the oldest (age 12).

C. False. The median is 10 as its shown in the box plot. Recall the median for any box and whisker plot is the vertical line inside the box.

D. True. The vertical line inside the box is the median. This vertical line does not have to be exactly halfway between the left and right edges of the box.

E. False. A box plot can be used to determine variability (in terms of range and IQR). You can determine the variability from a dot plot, though you'll have to do a bit of work to get it.

F. False. Refer to choice E.

3 0
4 years ago
if cot theta = -24/7 and cos theta &lt; 0, name the quad in which theta lies, then find the exact value of csc theta
NemiM [27]
Cot θ = -24/7 and cos θ < 0

"cos θ < 0" means cosine is negative

Remember osmething like "ALL students Take Calculus"?

all is positive in quadrant 1
sine/cosecant is positive only in quadrant 2
tangent/cotangent is positive only in quadrant 3
cosine/secant is positive only in quadrant 4

since cot(angent) is the reciprocal of tangent, tangent must also be negative.

tangent is negative in quadrants II and IV
cosine is negative in quadrants II and III

therefore, θ must lie in quadrant II.

remember the tan θ = y / x. it is the y-coordinate divided by the x-coodinate. the y-coordinate would be the height of this 90 degree triangle that forms. the x-coordinate would be the bottom leg of the 90 degree triangle

then cot θ = x / y. therefore, cot θ = -24 / 7 means x = -24 and y = 7. we draw a triangle with these dimensions.

csc θ = r / y = hypotenuse over opposite (when you view the reference angle labeled as the one to base the hypotenuse/oppoiste on) because it is the reciprocal of sine

the hypotenuse can be found w/ pythagorean theorem

hypotenuse = √[(-24)² + 7²] = 25

therefore,
cot θ = 25/7

4 0
3 years ago
The graph of an inverse is the reflection of the graph of the function over the line ___
Zepler [3.9K]
The line is y = x also called the diagonal.
5 0
3 years ago
Read 2 more answers
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