Factor by grouping. Step by step appreciated

Answer:

The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary. 

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Step-by-step explanation:

Answer:

The discriminant is -31.

Step-by-step explanation:

The discriminant of an equation is b^2 - 4ac. In this case, a = 2, b = -5, and c = 7.

(-5)^2 - (4 * 2 * 7) = 25 - (8 * 7) = 25 - 56 = -31. Because the discriminant is negative, it is less than 0. That means that there is no real solution.

Hope this helps!

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:

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:1/2

Step-by-step explanation:

8-2/5--7

6/12

1/2

hope i helped

can i have brainliest pls? (desperately trying to level up)

         -Zylynn

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:

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:

Mean: For this case would be not useful since in the stem leaf plot is difficult to find this measure with this chart

Step-by-step explanation:

We want construct a stem and leaf plot and we want to find the measure least useful.

And for this case if we analyze the option we have:

Range: That very useful and it can be extracted from the stem and leaf plot

Median: It could be easy to find it with the stem leaf plot

Mode: With a stem leaf plot we can find easily the most repeated value

Mean: For this case would be not useful since in the stem leaf plot is difficult to find this measure with this chart

Answer:

mean

Step-by-step explanation:

Answer:

507x223 is greater than 530 x 200

914x385 is less than 900 x 400

Answer:

See Attached

Step-by-step explanation:

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.

Hey there! :)

Answer:

5m - 2.

Step-by-step explanation:

We can use long division to divide the two expressions:

             5m - 2

5m - 2 | 25m² - 20m + 4

            25m² - 10m

           -

            0m² - 10m + 4

                    -10m  + 4

                  -

                      0

The quotient of this operation is 5m - 2.

Answer:

D

Step-by-step explanation:

[tex]y=\frac{-9x-5}{-8}[/tex]

factoring out a negative[tex]y=\frac{9x+5}{8}[/tex]

Answer:

Option D is the correct option.

Step-by-step explanation:

Given that

9x - 8y = 0

finding y-intercept

put x = 0 , we get

9(0) - 8y + 5 = 0

Calculate the product

-8y + 5 = 0

Move the constant to L.H.S and change its sign

-8y = 0 - 5

Calculate the difference

-8y = -5

divide both sides of the equation by -8

-8y/-8 = -5/-8

Calculate

y = 5/8

Hope this helps...

Good luck on your assignment...

Answer: 58

Step-by-step explanation:

The sum of the two digit number is 13. On reversing its digits the new number is 27 more than the original number find the number?

Let's set up a system with two variables: x = tens place of our answer, y = units place of our answer.

Digit sum of a two digit number is 6:

x+y=13

Reverse the digits and you get 27 more than the original value:

10y+x=10x+y+27

Now let's solve:

y=13-x

10(13-x)+x=10x+(13-x)+27

130-10x+x=130x-10x + 27

130-9x=9x+40

-90=18x

x=5

y=13-5

y=8

So our original number was 58. Sum of digits is 13. Swap the order of the digits to make 85, and you have a number 27 more than the original number.

The value of original number is, 58.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The sum of digits in two-digit number is 13.

And, If the place values of the digits are reversed, the new number is 27 more than the original number.

Now, Let the one's place digit is y and the ten's place is x of the original number.

Then, We get;

⇒ x + y = 13  .. (i)

And, If the place values of the digits are reversed, the new number is 27 more than the original number.

So, We get;

⇒ 10y + x = 27 + 10x + y

⇒ 10y - y + x - 10x = 27

⇒ 9y - 9x = 27

⇒ y - x = 3

⇒ y = x + 3   ... (ii)

Substitute the value of y from (ii) in (i), we get;

⇒ x + y = 13

⇒ x + x + 3 = 13

⇒ 2x = 13 - 3

⇒ 2x= 10

⇒ x = 5

And, From (ii);

⇒ y = x + 3  

⇒ y = 5 + 3

⇒ y = 8

Thus, The original number is,

⇒ 10x + y = 10 × 5 + 8

               = 50 + 8

               = 58

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Answer:

x = -1/3, 2/3

Step-by-step explanation:

Step 1: Isolate everything to one side

9x² - 3x - 2 = 0

Step 2: Factor

(3x + 1)(3x - 2) = 0

Step 3: Find roots

3x + 1 = 0

3x = -1

x = -1/3

3x - 2 = 0

3x = 2

x = 2/3

Answer:

144

Step-by-step explanation:

x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees

Step-by-step explanation:

The exterior angle of a regular n-sided polygon is given by

Exterior angle = 360/n  

The interior angle is therefore the supplement of the exterior angle,

Interior angle = 180 - 360/n

for n=10, decagon,

Interior angle of a decagon = 180 - 360/10 = 180-36 = 144 degrees

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:

Period: 2pi  vertical shift: 2 units up

Step-by-step explanation:

Answer:

D. period: 4pi; vertical shift: 2 units up

Step-by-step explanation:

Just did the test right now hope this helps some of yall :)

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

Answer:

The speed of the stream is 22.36 km/h.

Step-by-step explanation:

The course of the boat contains two stages of equal length. On the first one he is going downstream, so its resultant speed is "30 + x" km/h, where "x" is the speed of the stream. On the other hand for the second part of the course he is going against the stream, so the resultant speed is " 30 - x" km/h. The time of each course must be:

[tex]t_1 = \frac{30}{30 + x}[/tex]

[tex]t_2 = \frac{30}{30 - x}[/tex]

The sum of these times must be equal to the total time of the course, therefore:

[tex]t_1 + t_2 = 4.5\\\frac{30}{30 + x} + \frac{30}{30 - x} = 4.5\\\frac{30*(30 - x) + 30*(30 + x)}{(30 + x)(30 - x)} = 4.5\\900 - 30*x + 900 + 30*x = 4.5*(900 - x^2)\\4050 - 4.5*x^2 = 1800\\4.5*x^2 = 4050 - 1800\\4.5*x^2 = 2250\\x^2 = \frac{2250}{4.5}\\x^2 = 500\\x = 22.36[/tex]

The speed of the stream is 22.36 km/h.

Answer:

y=9/2x-11/2

Step-by-step explanation:

-2y=11-9x

y=11-9x/-2

y=9/2x-11/2

Answer:

y= 9/2x - 11/2

or

y=4.5x -5.5

Step-by-step explanation:

To solve for y, we must get y by itself on one side of the equation.

9x-2y=11

9x is being added to 2y. The inverse of addition is subtraction. Subtract 9x from  both sides.

9x-9x -2y= 11-9x

-2y= 11-9x

y is being multiplied by -2. The inverse of multiplication is division. Divide both sides by -2.

-2y-/2= 11-9x/-2

y= 11/-2 - 9x/-2

y=- 11/2 +9/2 x

or

y= -5.5 +4.5 x

Reorder the terms.

y= 9/2x - 11/2

or

y=4.5x -5.5

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

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: 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:

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: 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:

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:

5.5m^2

the area of just the trench is 5.5 m^2

Step-by-step explanation:

The Area of trench only is the total area(trench and garden) minus the Area of garden

Area of trench only = total area(trench and garden) - Area of garden

Area = length × breadth

Substituting the given dimensions;

Total area = 3.5 × 3 = 10.5 m^2

Area of garden = 2.5×2 = 5 m^2

Area of trench only = 10.5 m^2 - 5 m^2

Area of trench only = 5.5m^2

the area of just the trench is 5.5 m^2

Answer:

5 1/5

Step-by-step explanation:

Step-by-step explanation:

AD ≅ BC, Given

∠BCD ≅ ∠ADC, Given

CD ≅ CD, Reflexive property

ΔBCD ≅ ΔADC, SAS congruence

∠BDC ≅ ∠ACD, CPCTC

ΔECD is an isosceles triangle, definition of isosceles

DE ≅ CE, properties of isosceles triangles

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:

-125/462.

Step-by-step explanation:

5/22 + 3/7 + (-8/21) + (-6/11)

= 5/22 - 6/11 + 3/7 - 8/21        The LCM of 11 and 22 is 22 and of 7 & 21= 21:

= 5/22 - 12/22 + 9/21 - 8/21

= 1/21 - 7/22                              The LCM of 21 and 22 is 462:

= 22/462 - 147/462

= -125/462.