PLEASE HELP The domain is {x∈R| x≠1}, and the range is {y∈R| y≠0}. The domain is all real numbers, and the range is {y∈R| y≠0}. The domain is {y∈R| y≠1}, and the range is {x∈R| x≠0}. The domain is {x∈R| x≠1}, and the range is all real numbers.

Answer:

Step-by-step explanation:

divide through by the coefficient of [tex]x^{2}[/tex]

[tex]\frac{5x^{2} }{5}[/tex] + [tex]\frac{16x}{5} + \frac{-40}{5} = \frac{8}{5}[/tex]

[tex]x^{2} +\frac{16}{5}x -8 =\frac{8}{5}[/tex]

[tex]x^{2} +\frac{16}{5} x = \frac{8}{5} +8[/tex]

[tex]x^{2} + \frac{16}{5} x =\frac{48}{5}[/tex]

Add half of the square of the coefficient of x  to both sides [tex](\frac{1}{2} X \frac{16}{5} ) ^{2}[/tex]

[tex]x^{2} + \frac{16}{5}x + (\frac{1}{2} X \frac{16}{5} )^{2} =[/tex] [tex]\frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}[/tex]

[tex]x^{2} +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}[/tex]

[tex](x +\frac{16}{10})^{2} =\frac{304}{25}[/tex]

[tex]x +\frac{16}{10} =[/tex]±[tex]\sqrt{\frac{304}{25} }[/tex]

[tex]x = -\frac{16}{10}[/tex] ± [tex]\sqrt{\frac{304}{25} }[/tex]

[tex]x=-\frac{16}{10} + \sqrt{\frac{304}{25} }[/tex] or[tex]-\frac{16}{10} - \sqrt{\frac{304}{25} }[/tex]

[tex]x = 1.89[/tex] or -5.09

Using scientific notation it is found that the diameter of a red blood cell in human blood is of:

[tex]7 \times 10^{-3}[/tex] mm.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

In this problem, the diameter is of 0.007 mm, hence:

[tex]0.007 = 0.07 \times 10^{-1} = 0.7 \times 10^{-2} = 7 \times 10^{-3}[/tex]

Hence in scientific notation, the diameter is:

[tex]7 \times 10^{-3}[/tex] mm.

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Answer:

The y-intercept is (0, 5).

Step-by-step explanation:

We find the equation of the line in slope-intercept form:

y - y1 = m(x - x1)

y - 13 = 2(x - 4)

y = 2x - 8 + 13

y = 2x + 5  -  This is slope-intercept form where the graph passes through the y-axis at y = 5.

Answer:

6

Step-by-step explanation:

This is calculated in order from left to right. This is same as: (36/2)/3

Note:

It would be calculated as below if the parenthesis was differently applied:

Answer:

6

Step-by-step explanation:

Answer: C

Step-by-step explanation: the equation on the opposite side is the same

Answer:

y = 1.5x

Step-by-step explanation:

Cost of pineapples:

x pounds of pineapple will cost:

This function is represented as:

Step-by-step explanation:

[tex]3x + 5 = 26[/tex]

[tex]3x = 26 - 5[/tex]

[tex]3x = 21[/tex]

[tex]x = 7[/tex]

Hope it helps u

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The solution for the linear equation is x = 7.

To find the value of x in the equation 3x + 5 = 26, we can follow these steps:

Step 1: Subtract 5 from both sides of the equation to isolate the term with x on one side.

3x + 5 - 5 = 26 - 5

3x = 21

Step 2: Divide both sides of the equation by 3 to solve for x.

(3x)/3 = 21/3

x = 7

Therefore, the value of x in the equation 3x + 5 = 26 is x = 7.

Learn more about  linear equations at:

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Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

[tex]H_0 : \sigma = 10[/tex]

[tex]H_1 : \sigma \neq 10[/tex]

The test statistics can be computed as follows:

[tex]X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}[/tex]

[tex]X^2 = \dfrac{(36 -1)10.1^2 }{10^2}[/tex]

[tex]X^2 = \dfrac{(35)102.01 }{100}[/tex]

[tex]X^2 = \dfrac{3570.35 }{100}[/tex]

[tex]X^2 =35.704[/tex]

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

Answer:

The answer is [tex](\frac{5}{2} , \frac{3}{2} )[/tex]

Step-by-step explanation:

(3,-1) (2,4)

Plug into the midpoint formula:

[tex](\frac{x_{2}_+x_{1}}{2}} ,(\frac{y_{2}_+y_{1}}{2}})[/tex]

[tex](\frac{2+3}{2}}), (\frac{4-1}{2}})[/tex]

Solve:

[tex](\frac{5}{2}}), (\frac{3}{2}})[/tex]

Pls mark brainliest!

Hope this helps! :)

Answer:

E(m) = 2,000 + 0.15(m + 20,000)

Step-by-step explanation:

The function calculates his monthly earnings E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

Given that, Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000.

We need to calculate his monthly earnings (E) as a function of m, his monthly sales.

The composition of a function is an operation in which two functions say f and g generate a new function say h in the sort of manner that h(x) = g(f(x)). It method right here characteristic g is carried out to the characteristic of x. So, basically, a feature is implemented to the end result of another feature.

Now, the function for the given situation is E(m) = 2,000 + 15(m - 20,000).

The function is E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

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Answer: 48/25

Step-by-step explanation:

Answer:

48/25 as an improper fraction, 1 23/25 as a mixed fraction.

Step-by-step explanation:

It is -8/5 divided by 5/-6.

First of all, you can get rid of the negative signs becasue there are two.  Negative and Negative equals positive, so we already know that the answer will be positive.  

So, we now have 8/5 divided by 5/6.

When you divide fractions, the fraction being divided is turned to it's reciprocal.  To get a fraction's reciprocal, just flip the numerator and denominator's places.  It's that easy!  

Here is an example:  2/3's reciprocal is 3/2.  The numbers just get flipped!

That would mean 5/6's reciprocal would be 6/5.  Don't find the reciprocal of 8/5 because it is not the number that is getting divided.  When you find a reciprocal you can change the division sign into a multiplying sign.

Example:  2/3 divided by 4/5.  Reciprocal of 4/5 is 5/4.  Now it is 2/3 TIMES 5/4.

Back to the problem.

We now have 8/5 TIMES 6/5.  When you multiply fractions, just multiply both numerators, in this case being 8 and 6, and the denominators, in this case being 5 and 5.  So 8 times 6 is 48.  5 times 5 is 25.

We now have 48/25, which can be reduced to 1 23/25!  

For the mixed number, if you are confused, 25 goes into 48 only one time.  So, the whole number is 1.  but when 25 goes into 48 only one time, there is still 23 left because 48-25= 23.  23 is our new numerator!  The denominator stays the same.  So, it's 1 23/25.  :)

Answer:

A set of all positive integers between 7 and 43.

Step-by-step explanation:

If a triangle is given with the sides a, b, c, triangle is possible when,

a + b > c

a + c > b

b + c > a

Following the same rule in a triangle having side lengths 18, 25 and l unit.

18 + 25 > l    ⇒ l < 43

18 + l > 25    ⇒ l > 7

25 + l > 18    ⇒ l > -7

Therefore, length of the third side of the triangle will be,

7 < l < 43  (A set of positive integers between 7 and 43)

Answer:

The time, t it will take LA and San Francisco to be next to each other is 8,245,614.04 years which is over 8 million years

Step-by-step explanation:

The given parameters are;

The speed with which the pacific plate moved northward relative to the North American plate = 5.7 cm/year = 5.7 × 10⁻⁵ km/year

The distance between current LA and San Francisco = 470 km

From the formula for speed, s, we have

Speed = Distance/Time

Therefore, Time, t = Distance/Speed

The time, t it will take LA and San Francisco to be next to each other is given as follows;

t = (Distance between LA and San Francisco)/(The speed with which the pacific plate)

t = (470 km)/(5.7 cm/year) = 470/(5.7 × 10⁽⁻⁵⁾) = 8245614.04 years

Therefore, the time, t it will take LA and San Francisco to be next to each other is 8245614.04 years.

Answer:

slope is -3/5

Step-by-step explanation:

3x + 5y = 15

5y = -3x + 15

y = -3/5x + 3

slope is -3/5

    [tex]x^2-5x+6=0[/tex]

    [tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4\times1\times6}}{2\times1}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm\sqrt{25-4\times6}}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm\sqrt{25-24}}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm\sqrt{1}}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5\pm1}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{5-1}{2}\;\;\;\vee\;\;\;x=\frac{5+1}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=\frac{4}{2}\;\;\;\vee\;\;\;x=\frac{6}{2}\Leftrightarrow[/tex]

[tex]\Leftrightarrow x=2\;\;\;\vee\;\;\;x=3[/tex]

Answer:  [tex]x\in\{2\;;\;3\}[/tex]

[tex]\sf\dfrac{-(-5)\pm\sqrt{\sf (-5)^2-4\cdot1\cdot6}}{2\cdot1}[/tex]

[tex]\sf\dfrac{5\pm\sqrt{\sf 25-24}}{2}[/tex]

[tex]\sf\dfrac{5\pm\sqrt{\sf 1}}{2}[/tex]

[tex]\sf\dfrac{5\pm1}{2}[/tex]

[tex]\sf x'=\dfrac{5-1}{2}~~~~~~x''=\dfrac{5+1}{2}[/tex]

[tex]\sf x'=\dfrac{4}{2}~~~~~~~~~~~~x''=\dfrac{6}{2}[/tex]

[tex]\sf x'=2~~~~~~~~~~~~~x''=3[/tex]

⠀⠀

Solutions = {2, 3}

⠀⠀

⠀⠀

I hope that helps !!

Answer:

2q

Step-by-step explanation:

The product of multiple quantities is basically multiplying them together so our answer is 2 * q or 2q.

Answer:

to what?

Step-by-step explanation:

Answer:

640

Step-by-step explanation:

we turn the 80% into decimal so:

80÷100= 0.8

Then we multiply to find the discounted amount:

800×0.8= 640

Answer:

24.24, 24.304, 24.4, 24.54

Step-by-step explanation:

Answer:

r = 0

Step-by-step explanation:

Therefore, r = 0.

Check to see if it works:

Therefore, we know 0 is the right answer because as it says in the last step,

0 + 28 is indeed equal to 28, which the problem says is the answer.

Answer: [tex]x=0[/tex]

Flip the equation

[tex]4r+28=28[/tex]

Subtract 28 from both sides

[tex]4r+28-28=28-28\\4r=0[/tex]

Divide both sides by 4

[tex]4r/4=0/4\\x=0[/tex]

Answer:

Step-by-step explanation:

Multiply by x^2 on both sides

9x^2+27x+8=0

Factor.

The answers are -1/3, -8/3

Answer:

11x - y

Step-by-step explanation:

Answer:

Root 37

Step-by-step explanation:

All of the others are square numbers so they have no decimal numbers. Root 37 = 6.08...... making it an irrational number.

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar we can find x using similarity ratio

14/8 = (x+6)/(x-3) simplify first expression

7/4 = (x+6)/(x-3) cross multiply expressions

7×(x-3) = 4×(x+6)

7x-21 = 4x + 24 add like terms

3x = 45

x = 15

Answer:

to find the x-intercept, set y to 0.

0 = 1/5x - 7

7 = 1/5x

35 = x

(35, 0)

to find the y-intercept, set x to 0.

y = 1/5(0) - 7

y = 0 - 7

y = -7

(0, -7)

Answer:

The function would be 20.00

Step-by-step explanation:

I think...I dont really know if any of those numbers are functions cause I always have ordered pairs as functions but whatever lol

Answer:

q = 5/3

Step-by-step explanation:

-4q=2q-10

Subtract 2q from each side

-4q-2q=2q-2q-10

-6q = -10

Divide each side by -6

-6q/-6 = -10/-6

q = 5/3

Answer:

q = 3/5 or 0.6

Step-by-step explanation:

-4q = 2q - 10

0 = 6q - 10

6q = 10

q = 6/10

q = 3/5

Answer:

29.82

Step-by-step explanation:

First you have to do 127.8 divided by 60 to get how many miles he bikes a day, which is 2.13 Next, you multiply 2.13 by 2 weeks 2 weeks = 14 days So from then you do 2.13 x 14 which is 29.82 Chris bikes 29.82 miles in two weeks.

(i answered this question once and i used it from a friend but hope this helps)

Greetings from Brasil...

We will pass the - 2 to the 1st member

2 + [1/(X + 7)] = 15/(5(X + 7))

simplifying the numerator and denominator of the 2nd member

2 + [1/(X + 7)] = 3/(X + 7)

solving the sum of the 1st member

(2X + 15)/(X + 7) = 3/(X + 7)

product of the means by extremes

(2X + 15) · (X + 7) = 3 · (X + 7)

2X² + 15X + 14X + 105 = 3X + 21

2X² + 29X - 3X + 105 - 21 = 0

solving this 2nd degree equation

Δ = b² - 4.a.c

Δ = 26² -  4 . 2 . 84

Δ = 676 - 4. 2 . 84

Δ = 4

X' = (-26 + √4)/2.2     X'' = (-26 - √4)/2.2

X' = -24 / 4     X'' = -28 / 4