What is the value of q?
s
VX
45
O2V14
S
O20V5
R
R
r
64V5
4
T
10

Answer:

y = -2/3x + 4

Step-by-step explanation:

Use formula for slope given two points.

m = (y2 - y1)/(x2 - x1)

The two points are (0, 4) and (6, 0)

m = (0 - 4)/(6 - 0)

m = -4/6

m = -2/3

y = -2/3x + b

The y-intercept b is 4.

Answer:

Step-by-step explanation:

0.026803

Answer:

1) [tex]7 \frac{11}{16} [/tex]

2) [tex] \frac{7}{15} [/tex]

Step-by-step explanation:

1) Let's convert the mixed fraction into a improper fraction.

[tex]5\frac{1}{8} \\ = \frac{5(8) + 1}{8} \\ = \frac{41}{8} [/tex]

Let the number be x.

[tex] \frac{2}{3} x = \frac{41}{8} \\ x = \frac{41}{8} \div \frac{2}{3} \\ x = \frac{41}{8} \times \frac{3}{2} \\ x = \frac{123}{6} \\ x = 7 \frac{11}{16} [/tex]

2)[tex]4 \frac{3}{8} = \frac{35}{8} [/tex]

[tex]9 \frac{3}{8} = \frac{75}{8} [/tex]

[tex]4 \frac{3}{8} \div 9 \frac{3}{8} \\ = \frac{35}{8} \div \frac{75}{8} \\ = \frac{35}{8} \times \frac{8}{75} \\ = \frac{7}{15} [/tex]

Answer:

Step-by-step explanation:

5x - 2= 6

Question = 5x - 2= 6

1. Isolate the variable

5x - 2= 6

   + 2 + 2

2. Simplify the like terms

6 + 2

= 8

3. Simplify the answer

Simplify by dividing both sides by 5

5x = 8

/5     /5

x = 8/5 or 1.6

The answers are:

x = 1.6

x = 8/5

x = 1  3/5

Hope this helped,

Kavitha

Answer:

The polynomial "4ab+9a" is a quadratic binomial

Step-by-step explanation:

It is quadratic because the degree of the term is 2. it is a binomial because it has 2 terms

Answer:

see below

Step-by-step explanation:

Multiplication and division are also inverse operations

15 * 10 = 150

150 ÷10 = 15

Divide 150 by 10 and we get 15 back

The division undoes the multiplication

This also works in reverse

150 ÷ 10 = 15

15*10 =150

The multiplication undoes the division

Answer:

The number of times faster Abigail is on her skateboard than she is walking is 4 times

Step-by-step explanation:

The information given are;

Abigail was skateboarding home (let the distance home = D)

The distance Abigail had traveled when her skateboard broke = 2/3 of D

The distance of the rest (remaining) of the way home = 1 - 2/3 of D = 1/3 of D

The time Abigail took in walking the rest of the way home = 2 × t, Time it will take on the skateboard

Given that t is the time it takes Abigail to arrive home on skateboard alone, we have;

[tex]Speed = \dfrac{Distnce}{Time}[/tex]

Speed on skate board, S[tex]_t[/tex] = Distance/Time = D/t

Therefore, the time it took Abigail to travel two thirds (2/3) of D is given as follows;

[tex]Time= \dfrac{Distnce \ covered}{Speed } = \dfrac{\dfrac{2}{3} D}{S_t} = \dfrac{\dfrac{2}{3} D}{\dfrac{D}{t} } = \dfrac{2}{3} D \times \dfrac{t}{D} = \dfrac{2}{3} t[/tex]

The total time it took Abigail to get to her home = Time of walking + Time on skateboard

The question also states that he total time it took Abigail to get to her home by walking and skateboarding because her skateboard broke = 2×t

Therefore, the total time it took Abigail to get to her home = 2×t = Time of walking + Time on skateboard = Time of walking + [tex]\dfrac{2}{3} t[/tex]

Which gives;

2×t = Time of walking + [tex]\dfrac{2}{3} t[/tex]

Time of walking = [tex]2 \times t -\dfrac{2}{3} t[/tex] = [tex]\dfrac{4}{3} t[/tex]

∴ The time Abigail walked 1/3·D = [tex]\dfrac{4}{3} t[/tex]

Abigail walking speed is then

[tex]Walking \ speed= \dfrac{Distnce \ covered \ walking}{Time \walking} = \dfrac{\dfrac{1}{3} D}{\dfrac{4}{3} t} = \dfrac{\dfrac{D}{3} }{\dfrac{4 \cdot t}{3} } = \dfrac{D}{3} } \times {\dfrac{3}{4 \cdot t} } = \dfrac{D}{4 \cdot t} }[/tex]

To compare how many times faster is Abigail on her skateboard than she is walking, we divide the expression (formula) for the speed of skateboarding with the (formula) for the speed of walking as follows;

[tex]The \ number \ of \ times \ faster = \dfrac{\dfrac{D}{t} }{\dfrac{D}{4 \cdot t} }} = \dfrac{D}{t} \times \dfrac{4 \cdot t}{D} } = 4[/tex]

The number of times faster is 4 that is Abigail is four times faster on her skateboard than she is walking.

Answer:

8

Step-by-step explanation:

Each movie costs $4 since the bill increased by $4 when the customer watched a movie.

$29 - $25 = $4

Create an equality using this information.  Solve for x.

25 + 4x > 60

(25 + 4x) - 25 > (60) - 25

4x > 35

(4x)/4 > (35)/4

x > 8.75

Since the bill must stay under $60, round the answer down.  The customer can watch 8 movies with the given price range.

Sososos

Step-by-step explanation:

Answer:

11 feet by 39 feet.

Step-by-step explanation:

In this case, the perimeter, P, is 100 ft.

If the length of the shed is 6 feet longer than three times the width, that means that the length, L, is equivalent to 6 plus 3 times the width, W.

So, we have an equation: P = 2 * L + 2 * W.

100 = 2 * (6 + 3W) + 2 * W

100 = 12 + 6W + 2W

100 = 12 + 8W

8W + 12 = 100

8W = 88

W = 11

And so, we know that the width is 11 feet.

To solve for the length...

L = 6 + 3W

L = 6 + 3 * 11

L = 6 + 33

L = 39

So, the length is 39 feet.

Now, you have the dimensions of the shed: 11 feet by 39 feet.

Hope this helps!

Answer:

Maximum =  756

Minimum =  600

Step-by-step explanation:

A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.

And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:

(1 + 3 + 5 + 8 + 10) ×  (2 + 4 + 6 + 7 + 9) = 756

At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:

(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600

Answer:

One reusable bottle cost $8.12

Step-by-step explanation:

Let

x=total cost of the two reusable bottles

Ms stone has 5/8 if the total cost of the two reusable bottles

5/8 of x=$10.15

5/8*x=10.15

x=10.15÷5/8

=10.15×8/5

=81.2/5

=16.24

x=$16.24

The total cost of of the two reusable bottles=$16.24

If total cost of two reusable bottles=$16.24

Cost of one reusable bottle=$16.24/2

=$8.12

One reusable bottle cost $8.12

Answer:

If it is on the maximum, then the y-value of the point cannot be any higher and  still be on the graph of the function. If it is on the minimum, the the y-value of the point cannot be any lower and still be on the graph of the function. If it isn't either the maximum or the minimum, it is neither.

Answer:

22.467

Step-by-step explanation:

Hello,

You just have to do the computation in XL or using a calculator, and round each number to the nearest hundred

x sqrt(x)

1 1

2 1.414

3 1.732

4 2

5 2.236

6 2.449

7 2.646

8 2.828

9 3

10 3.162

and do the sum which is 22.467

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

300

Step-by-step explanation:

First let's square all the integers from 1 to 10 inclusive. We get:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

6^2 = 36

7^2 = 49

8^2 = 64

9^2 = 81

10^2 = 100.

Rounding to the nearest hundred, we get that 1, 4, 9, 16, 36, and 49 all round to 0 and 64, 81, and 100 round to 100.

Therefore, we obtain 

0+0+0+0+0+0+0+100+100+100,

or 300.

Answer: Brent repay $4152.61 to his brother.

Step-by-step explanation:

Formula to calculate compound amount : [tex]A =P(1+\dfrac{r}{4})^{4t}[/tex]

, where P= principal amount

r= rate of interest (in decimal)

t= time

As per given, we have

P= $4000

t= 3 years

r= 1.25% = 0.0125  [we divide a percentage by 100  to write in simple form]

Now, substitute these values in the formula

[tex]A=4000(1+\dfrac{0.0125}{4})^{4\times3}\\\\=4000(1.003125)^{12}\\\\=4000\times1.03815129256\\\\\approx4152.61 \ \ [\text{To the nearest cent.}][/tex]

Hence, Brent repay $4152.61 to his brother.

Answer:

1024 pi

Step-by-step explanation:

r = 32 units.

Area = pi * r^2

Area = 3.14 * 32^2

Area = 1024 * pi

Tt = pi??

Answer:

A

Step-by-step explanation:

Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.

Answer:

the answer is option a because all the expression in option a is written descending power form.

Answer:

y = 1

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (- 8, 5), thus the y value of midpoint is

y = [tex]\frac{1}{2}[/tex] (- 3 + 5) = 0.5 × 2 = 1

Step-by-step explanation:

a, 3

b,

draw lines through the corresponding corners of each shape  These lines will cross at the centre of enlargement O

Answer:

507x223 is greater than 530 x 200

914x385 is less than 900 x 400

Answer: B

Step-by-step explanation:

LJ should corresponds with RQ but it should correspond with PR.

Answer:

B

Segment LJ and Segment RQ

Step-by-step explanation:

look at the congruence statement

JKL≅PQR

as you can see, they do not correspond with one another

and all the other statements are pairs or congruent/corresponding parts

Answer:

A,C,and D are parralelograms

The parallelogram are shapes with figures having opposite sides which are parallel

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , from the figure 1

a)

The figure is having opposite sides are parallel

where AB = CD

And , BC = AD

So , it is a parallelogram

b)

The figure does not have any sides parallel

So , it is not a parallelogram

c)

The shape is having 2 sides as parallel

And , AB = CD

So , it is a parallelogram

d)

The shape is having 2 sides as parallel

And , AB = CD

So , it is a parallelogram

Hence , the parallelogram is solved

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Answer:

[tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].

[tex]f\circ g[/tex] does not exist.  

Step-by-step explanation:

It is given that,

[tex]f=\{(1,2),(3,4),(5,6)\}[/tex]

[tex]g=\{(2,3),(4,6),(6,8)\}[/tex]

We need to find the composition gof.

[tex](g\circ f)(x)=g(f(x))[/tex]

Now,

[tex](g\circ f)(1)=g(f(1))=g(2)=3[/tex]

[tex](g\circ f)(3)=g(f(3))=g(4)=6[/tex]

[tex](g\circ f)(5)=g(f(5))=g(6)=8[/tex]

So, [tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].

We need to check whether [tex]f\circ g[/tex] exist of not.

If range of g(x) is subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] exists.  

Now,

Range of g(x) = {3,6,8}

Domain of f(x) = {1,3,5}

Since range of g(x) is not a subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] does not exist.  

Hey there! :)

Answer:

x = 8.

Step-by-step explanation:

Starting with:

5x - 1 = 6x - 9

Subtract 5x from both sides:

5x - 5x - 1 = 6x - 5x - 9

-1 = x - 9

Add 9 to both sides:

-1 + 9 = x - 9 + 9

8 = x.

Answer:

x=8

Step-by-step explanation:

We can start by subtracting 5x from both sides

That leaves us with -1=x-9

Then we can add 9 to both sides to cancel out the -9

x=8

Answer:

-7 and -4

Step-by-step explanation:

The graph of the function f(x) = (x + 4)⁶ (x + 7)⁵ cross the X axis at x = -4 and x = -7.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a function,

f(x) = (x + 4)⁶ (x + 7)⁵

When the function cross the X axis, the value of the function will be 0.

Let f(x) = 0

(x + 4)⁶ (x + 7)⁵ = 0

This implies that, either x + 4 = 0 or x + 7 = 0

x + 4 = 0 ⇒ x = -4

x + 7 = 0 ⇒ x = -7

Hence the roots are -4 and -7 where the function crosses the X axis.

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Answer:

x^2-x-90=0     x^2-10x+9x-90    x(x-10)+9(x-10)

(x+9)(x-10)=0

Solutions are 0-9=-9 and 0+10=10.

10-9=1= a+b

Step-by-step explanation:

After finding the solutions a and b, The value of a + b is,

⇒ 1

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

Equation is,

⇒ x² - x - 90 = 0

Now, We can find the factor of the equation as;

⇒ x² - x - 90 = 0

⇒ x² - 10x + 9x - 90 = 0

⇒ x (x - 10) + 9 (x - 10) = 0

⇒ (x + 9) (x - 10) = 0

This gives,

⇒ x - 10 = 0

⇒ x = 10

⇒ x + 9 = 0

⇒ x =- 9

Hence, Value of solutions a + b is,

a + b = 10 + (- 9) = 1

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Answer:

1/8

Step-by-step explanation:

you add 16 and 24 which is 40

there are 5 ppl who are left handed

which is 5/40 which is simplify to 1/8

hope this helps

Answer: go on quizlet but my guess is 2/3

Step-by-step explanation: i guessed tbh

Answer:

Step-by-step explanation:-

-

-8239910.76

Answer:

si

Step-by-step explanation: