Subtract 5y ^2−6y−115, y, squared, minus,

Answer:

(r. q) (7) = [tex] \pm 220[/tex]

(q.r) (7) = [tex] \pm 220[/tex]

Step-by-step explanation:

[tex]q(x) = {x}^{2} + 6 \\ q(7) = {7}^{2} + 6 = 49 + 6 = 55\\ r(x) = \sqrt{x + 9} \\ r(7) = \sqrt{7 + 9} = \sqrt{16} = \pm 4 \\ \\ (r.q)(7) = r(7).q(7) = \pm 4 \times 55 = \pm220 \\ \\ (q.r)(7) = q(7).r(7) = 55 \times \pm 4 = \pm220 [/tex]

Hey there! I'm happy to help!

Let's look at all of the perfect squares (numbers with integer square roots) so that we can see where the square root of 12 lies.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=100

We see that √12 would be in between √9 and √16 (3 and 4), so the square root of 12 is in between 3 and 4.

I hope that this helps! Have a wonderful day! :D

The square root of 12 lies between the whole numbers 3 and 4.

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way.

Let's look at all of the perfect squares (numbers with integer square roots) so that we can see where the square root of 12 lies.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=100

We see that √12 would be in between √9 and √16 (3 and 4), so the square root of 12 is in between 3 and 4.

Therefore, the square root of 12 lies between the whole numbers 3 and 4.

To know more about square roots follow

https://brainly.com/question/428672

#SPJ5

Answer:

hello your question has a missing table attached below is the missing table

Answer : 0.55%

Step-by-step explanation:

The complete table related to the answer given above is attached below

using a 0.10 level of significance the percentage of the variance in the Y-values that shows a linear relationship with the X-values = 0.55%

The values for X^2 , y^2  and x*y is determined an entered into a table ( attached below as well )

Answer:

f'(x) = - [tex]\frac{1}{(x-1)^2}[/tex]

Step-by-step explanation:

f'(x) = [tex]lim_{h>0}[/tex] [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = [tex]lim_{h>0}[/tex] [tex]\frac{\frac{1}{x+h-1}-\frac{1}{x-1} }{h}[/tex]

     = [tex]lim_{h>0}[/tex] [tex]\frac{x-1-(x+h-1)}{h(x+h-1)(x-1)}[/tex]

     = [tex]lim_{h>0}[/tex] [tex]\frac{x-1-x-h+1}{h(x+h-1)(x-1)}[/tex]

     = [tex]lim_{h>0}[/tex] [tex]\frac{-h}{h(x+h-1)(x-1)}[/tex] ← cancel h on numerator denominator

     = - [tex]\frac{1}{(x-1)^2}[/tex]

Answer:

40 students

Step-by-step explanation:

and all the frequencies

there should one student per tally mark because the tally is measuring grades

Hope that helped!!! k

Answer:

[tex]\Huge \boxed{40}[/tex]

Step-by-step explanation:

Adding all the frequencies in the frequency distribution gives the total number of students.

[tex]6+10+8+9+7=40[/tex]

The number of students in class VIII whose marks obtained in an examination are 40.

Answer:

rate =  316800 feet  miles per hour

unit = feet per hour

Step-by-step explanation:

swimming rate of fish = 60 miles per hour

1 mile = 5280 feet

60 miles = 60*5280 feet = 316800 feet

swimming rate of fish = 60 miles per hour

substituting 60 miles with with its equivalent in feet we have

swimming rate of fish =  316800 feet  miles per hour

answer

rate =  316800 feet  miles per hour

unit = feet per hour

Answer:

635 dolalrs

Step-by-step explanation:

How many hours can Jan work in both weeks

35(2) = 70 hours

70 (8.50) = 595 dollars base salary.

Bonus each for both weeks = 2(20) = 40

595 + 40 = 635 dollars

Answer:

$595

Step-by-step explanation:

8.50x 70 hours= equal pay for 2 weeks without bonus pay

35 plus 35=70 hours

$595 without bonus

2(35x8.5) + 2(20)=636 (with bonus)

Without bonus 2(35x8.50)=595

Hello, first of all we can notice that

[tex]5^2-3*5-10=25-15-10=0[/tex]

and

[tex]2*5-10=0[/tex]

and 0 divided by 0 is undetermined.

So, we need to factorise and simplify first.

[tex]x^2-3x-10=(x-5)(x+2)\\\\\text{Because we already known that 5 is a zero...}\\\\\text{... and the sum of the zeroes is 3 = 5 - 2 and the product is -10 = 5 * (-2).}[/tex]

For x different from 5, we can write

[tex]\dfrac{x^2-3x-10}{2x-10}=\dfrac{(x-5)(x+2)}{2(x-5)}=\dfrac{x+2}{2}[/tex]

So, the limit when x tends to 5 is

[tex]\dfrac{5+2}{2}=\boxed{\dfrac{7}{2}}[/tex]

Thank you

Answer:

y = (x − 4) / 3

Step-by-step explanation:

y = 3x + 4

To find the inverse, switch x and y, then solve for y.

x = 3y + 4

x − 4 = 3y

y = (x − 4) / 3

Answer:

Length of each side = (4x-1)

Step-by-step explanation:

You could use the Quadratic formula to solve this, but there is a bit of a logical/intuitive gap you have to jump over at the end to get the answer.

For a straightforward mathematical explanation of what the area is equal to, you need to complete the square. From there you acknowledge that a square's sides are equal to each other and then you'll have your lengths.

My work is in the attachment. Comment with any questions.

Answer:

4x - 1

Step-by-step explanation:

given area of square :

16x² − 8x + 1

(4x)² -8x + 1

factor the equation

and this is a perfect square trinomial

a² - 2ab + b² = (a-b) (a-b)

(4x)² - 8x + 1 = (4x-1) (4x-1)

we know that the area A = s²    (s stands for side)

substitute,  (4x-1)² = s²

4x - 1 = s

therefore, the side of a square s =  4x - 1

Answer:

16 girls on each team and 20 boys on each team.

Hope I helped you.

Step-by-step explanation:

2x - 4 - 6(x + 1) = 5x + 6

2x - 4 - 6x - 6 = 5x + 6

2x - 6x - 5x = 4 + 6 + 6

-9x =16

x= -16/9

Hope this helps.. Good luck!

Answer:

millions

Step-by-step explanation:

the possibilities are endless

Answer:

x=34

Step-by-step explanation:

x + (x + 11) =79

Combine like terms

2x+11 = 79

Subtract 11 from each side

2x+11-11 = 79-11

2x = 68

Divide by 2

2x/2 = 68/2

x = 34

Answer:

[tex]\Huge \boxed{x=34}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]x+x+11=79[/tex]

Combining like terms.

[tex]2x+11=79[/tex]

Subtracting 11 from both sides.

[tex]2x=68[/tex]

Dividing both sides by 2.

[tex]x=34[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

So the unit price of the trail - mix is $4.80 per pound

Step-by-step explanation:

Sam paid $3.60 for 3/4 pound of his favorite trail-mix.

What it means is that said paid for 3/4 = 0.75 of a pound for $3.60

So let's determine how much he could have paid for a complete pound

$3.60= 0.75 pound

X= 1 pound

$X*0.75 pound= $3.60*1 pound

$x= ($3.60*1 pound)/0.75 pound

$x=$3.60/0.75

$x= $4.80

So the unit price of the trail - mix is $4.80 per pound

Answer: C

Step-by-step explanation:

For this problem, let's find the inverse for all f(x) and see which pairs with the g(x). To find the inverse, you replace the x with y and y with x. Then you solve for y.

A. Incorrect

[tex]y=\frac{x-8}{4} +9[/tex]                                 [replace x with y and y with x]

[tex]x=\frac{y-8}{4} +9[/tex]                                  [subtract both sides by 9]

[tex]x-9=\frac{y-8}{4}[/tex]                                  [multiply both sides by 4]

[tex]4(x-9)=y-8[/tex]                            [add both sides by 8]

[tex]4(x-9)+8=y[/tex]

This does not match g(x), therefore, they are not inverses of each other.

----------------------------------------------------------------------------------------------------------

B. Incorrect

[tex]y=4(x-12)+2[/tex]                         [replace x with y and y with x]

[tex]x=4(y-12)+2[/tex]                         [subtract both sides by 2]

[tex]x-2=4(y-12)[/tex]                        [divide both sides by 4]

[tex]\frac{x-2}{4} =y-12[/tex]                                [add both sides by 12]

[tex]\frac{x-2}{4} +12=y[/tex]

This does not match g(x), therefore, they are not inverses of each other.

----------------------------------------------------------------------------------------------------------

C. Correct

[tex]y=3(\frac{x}{2})-4[/tex]                                [replace x with y and y with x]

[tex]x=3(\frac{y}{2} )-4[/tex]                                [add both sides by 4]

[tex]x+4=3(\frac{y}{2} )[/tex]                                [divide both sides by 3]

[tex]\frac{x+4}{3} =\frac{y}{2}[/tex]                                       [multiply both sides by 2]

[tex]\frac{2(x+4)}{3} =y[/tex]

This matches g(x), therefore, they are inverses of each other.

----------------------------------------------------------------------------------------------------------

D. Incorrect

[tex]y=3(\frac{2}{x} )-10[/tex]                             [replace x with y and y with x]

[tex]x=3(\frac{2}{y} )-10[/tex]                             [add both sides by 10]

[tex]x+10=3(\frac{2}{y} )[/tex]                              [divide both sides by 3]

[tex]\frac{x+10}{3} =\frac{2}{y}[/tex]                                     [multiply both sides by y]

[tex](y)(\frac{x+10}{3} )=2[/tex]                              [multiply both sides by [tex]\frac{3}{x+10}[/tex] or divide by [tex]\frac{x+10}{3}[/tex]]

[tex]y=\frac{6}{x+10}[/tex]

This does not match g(x), therefore, they are not inverses of each other.

----------------------------------------------------------------------------------------------------------

After going through each problem, we found that the correct answer is C.

Answer:

The answer is D

Step-by-step explanation:

d. Points: A, B, C, D Line segments: bar(AB), bar(AC), bar(BD)

The points are A, B, C, and D, and the line segment AB, AC, and BD. Then the correct option is B.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text.

From the diagram, the points are A, B, C, and D, and the line segment AB, AC, and BD. Then the correct option is B.

Your question was incomplete, but the complete question was attached below.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ2

Answer:

Approximately 53 mins

Step-by-step explanation:

Yard mowed by Michael = ⅓ of the yard

Yard mowed by Mel = 1 - ⅓ = [tex] \frac{1}{1} - \frac{1}{3} = \frac{3 - 1}{3} = \frac{2}{3} [/tex]

Rate at which Mel can mow a yard = ¾ of the yard in 1 hour

That is, it would take 1 hr to mow ¾ of the yard.

If ¾ yard requires 1 hr, then,

⅔ yard would require x hr

Thus:

x*¾ = 1*⅔

[tex] \frac{3x}{4} = \frac{2}{3} [/tex]

Cross multiply

[tex] 3(3x) = 4(2) [/tex]

[tex] 9x = 8 [/tex]

Divide both sides by 9

[tex] x = \frac{8}{9} [/tex]

It would take Mel [tex] \frac{8}{9} hr [/tex] to finish mowing her part, which is approximately 53 mins. [tex] (\frac{8}{9}*60mins = 53.3mins [/tex].

Answer:

53 min

Step-by-step explanation:

Answer:

3.3333333333333333333333 just 3.3

Step-by-step explanation:

Answer:  120 ways

Step-by-step explanation:

given data:

no of chocolate = 10pcs

to be shared among three individuals who are John, Harry and Donald.

there is no restriction to how it can be shared amongst them.

this Problem can be solved using combination as the order with which it would be shared doesn’t matter.

solution:

n = 10

r = 3

= 10C3

= n! / ( n - r )! r !

= 10! / ( 10 - 3 ! ) 3!

= 10! / ( 7! ) 3!

= 120

the chocolate can be shared amongst them in 120ways.

Answer:

The answer to your question is 6.4 feet

The complete question is missing, so i have attached it

Answer:

A) Reject the null hypothesis

B) Reject the null hypothesis

C) Fail to reject the null hypothesis

D) Reject the null hypothesis

Step-by-step explanation:

A) We are given;

Ha: μ > μ_o (This is thus, a one-tail problem)

n = 11

T = 1.91

Using online p-value from t-score calculator as attached with a DF = n - 1 = 11 - 1 = 10, and t-value = 1.91, and significance level of 0.05, and 1 tail, we have;

The p-value is 0.042602

P-value is less than significance level, thus, we will reject the null hypothesis

B) We are given;

Ha: μ < μ_o (This is thus, a one-tail problem)

n = 17

T = -3.45

Using online p-value from t-score calculator as attached with a DF = n - 1 = 17 - 1 = 16, and t-value = 1.91, and significance level of 0.05, and 1 tail, we have;

The p-value is  0.001647

P-value is less than significance level, thus, we will reject the null hypothesis

C)We are given;

Ha: μ ≠ μ_o (This is thus, a two-tail problem)

n = 7

T = 0.83

Using online p-value from t-score calculator as attached with a DF = n - 1 = 7 - 1 = 6, and t-value = 0.83, and significance level of 0.05, and 2 tail, we have;

The p-value is 0.438308.

P-value is higher than the significance level, thus, we will fail to reject the null hypothesis.

D) We are given;

Ha: μ > μ_o (This is thus, a one-tail problem)

n = 28

T = 2.13

Using online p-value from t-score calculator as attached with a DF = n - 1 = 28 - 1 = 27, and t-value = 2.13, and significance level of 0.05, and 1 tail, we have;

The p-value is 0.021218

P-value is lower than the significance level, thus, we will reject the null hypothesis

P-value is lower than the significance level, thus, we will reject the null hypothesis.

Answer:

52510

Step-by-step explanation:

590x89=52510

(hope it help??)

Answer:

52510

Step-by-step explanation:

googl

Answer:

45 minutes

Step-by-step explanation:

Distance needed to be covered = 10,000-550= 9,450

Speed= 210ft/min

time: 9450/210= 45 mins

Greetings from Brasil...

from notable products:

A² - B² = (A + B)·(A - B)

bringing to our problem:

9 - G² = (3 + G)·(3 - G)

Factoring 24G + 8G²:

8G(3 + G)

So, we have:

{G²/[ (3 + G)·(3 - G)]} + {(14 + G)/[8G(3 + G)]}

So the  least common denominator is: 3 + G

[tex]\large{\frac{G^2}{9-G^2}+\frac{14+G}{24G+8G^2}=\frac{G^2}{(3+G)\cdot (3-G)}+\frac{14+G}{8G\cdot (3+G)}}[/tex]

Answer:

the opposite of 10 is -10

Step-by-step explanation:

Graph it on -10

Answer:

Just draw a solid dot in the position positive 10 on the number line

Step-by-step explanation:

Notice that the opposite of 10 is "negative 10" (-10), and the opposite of this (-10) is "positive 10" (10). So the opposite of the opposite takes you back to the original number (positive 10)

Answer:

19

Step-by-step explanation:

The shortest path is a straight line.  The slope of that line is:

m = (25 − 1) / (1 − (-3))

m = 6

The point where the ant intersects the y-axis has an x-coordinate of 0.  The slope between that point, and any other point on the line, is 6.

6 = (y − 1) / (0 − (-3))

y = 19

Hi there! :)

Answer:

[tex]\huge\boxed{BC = 26}[/tex]

In the question, it is given that AB = 3x - 1 and AC = 8x - 20.

Since AB  = 3x - 1 and B is the midpoint, this means that BC is also 3x - 1. We can express this as an algebraic equation:

8x - 20 = 2(3x - 1)

Distribute the 2 with terms inside of the parenthesis:

8x - 20 = 6x - 2

Subtract 6x from both sides:

2x - 20 = -2

Add 20 to both sides:

2x = 18

Divide both sides by 2:

x = 9

Solve for BC by plugging in the value of x into the formula for AB

(since AB ≅ BC):

3(9) - 1 = 27 - 1 = 26 units.

BC = 26 units.

Answer:

BC = 5x - 19

Step-by-step explanation:

AC = 8x - 20

AB = 3x - 1

AC = AB + BC

Plug in the corresponding terms to the corresponding variables;

AC = AB + BC

(8x - 20) = (3x - 1) + BC

Isolate the term, BC, subtract 3x - 1 from both sides:

(8x - 20) - (3x - 1) = (3x - 1) - (3x - 1) + BC

BC = 8x - 20 - 3x + 1

BC = 8x - 3x - 20 + 1

BC = 5x - 19

~