Find the solutions to the equation below.

Check all that apply.

4x^2 - 4x - 2 = 0

A. x = -1/2

B. x = 3/2

C. x = 1/2

D. x = -2

E. x = 3

F. x = 2

Answer:

A = 0

__________________________________________________________

Although the question says not to assume A is 0, that is the only possible option, since any nor prime or composite is going to be the higher number, because it stays the same.

0 ÷ a(0) = 0

a(0) ÷ a(0) = 0

__________________________________________________________

Ask in the comments.

Answer:

208.3

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{20}{50}=\frac{2}{5}\\ S_{10}=\frac{125(1-(2/5)^{10} )}{1-(2/5)} \\=208.3[/tex]

Answer:

The answer is 4x² – x – 4 = 0

Step-by-step explanation:

Where,

So, one quadratic polynomial satisfying is given condition is 4x² – x – 4 = 0

Sum of zeroes = 1/4

Product of zeros = 1

Remember this formula

x² – (α + β)x + αβ

x² – 1/4x + 1

4x² – x – 4 = 0

Thus, The quadratic polynomial is

4x² – x – 4 = 0.

Step-by-step explanation:

the average score would be 3 i think

Answer:

$933.12

Step-by-step explanation:

So 20% of $1,080 is 216.

1080 - 216 is 864

8% of 864 is 69.12

864 + 69.12 would be $933.12

Answer:

4.32 Liters

Step-by-step explanation:

12*360 mL= 4320 mL

mL to L= mL/1000

4320/1000= 4.32

Answer:

216 square feet

Step-by-step explanation:

First we must convert both dimensions to feet. 1 yd = 3 feet

8 yd = 24 feet and 3 yd = 9 feet

We got the yd by multiplying by 3 to get the number of fett.

Area of a rectangle = base * height

24 feet * 9 feet = 216 square feet

Answer:

Kirsty raised £143.75 and Flo raised £28.75

Step-by-step explanation:

x = money raised by Flo

5*x = money raised by Kirsty

6*x = money raised together

6x = £172.50

Now divide each side by 6:

x = £172.50:6

x = £28.75 (money raised by Flo)

£172.50-£ 28.75 = £143.75 (money raised by Kirsty)

Kirsty raised £143.75 and Flo raised £28.75

Answer:

p = 20

Step-by-step explanation:

Step1 :

Multiply each value by its  frequency then  add up :

(10 × 16) + (15 × 8) + (20 × p) + (25 × 10) + (30 × 6) = 20p + 610

Step2 :

Calculate the total of the frequencies :

6 + 8 + p + 10 + 6 = p + 30

The mean is equal to

[tex]\frac{20p+610}{p+30}[/tex]

Therefore

[tex]20.2 = \frac{20p+610}{p+30}[/tex]

then

20.2 × (p + 30) = 20p + 610

then

20.2p + 606 = 20p + 610

Then

20.2p -  20p = 610 - 606

Then

0.2p = 4

Then

p = 4/(0.2)

  = 20

Answer:

f(x) = 13 when x = 10.

Step-by-step explanation:

[tex]f(x)=\frac{x}{2}+8[/tex]

[tex]f(10)=\frac{10}{2}+8[/tex]

[tex]f(10)=5+8[/tex]

[tex]f(10)=13[/tex]

Therefore, f(x) = 13 when x = 10.

13

Hope it helps.

Do comment if you have any query.

We are given with an AP (Arithmetic Progression) with first term being -7, and the common difference being the difference between any succeding term from any term and the term itself, so common difference = -11 - (-7) = -11 + 7 = -4, so now before finding the sum of 21 terms, let's recall that ;

Where, d is the common difference, a is the first term, and n is the number of terms and [tex]{\bf S_n}[/tex], being the sum of n terms, so putting all the values in the formula, we will have ;

[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}\{2\times -7+(21-1)-4\}}[/tex]

[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}(-8+20\times -4)}[/tex]

[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-8-80)}{2}}[/tex]

[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-88)}{2}}[/tex]

[tex]{:\implies \quad \sf S_{21}=-21\times 44}[/tex]

[tex]{:\implies \quad \boxed{\bf{S_{21}=-924}}}[/tex]

Check the picture below.

the assumption is that the graph keeps on going all the way to ±infinity.

Bear in mind that the interval notation is referring to the endpoints on the x-axis.

Answer:

5

Step-by-step explanation:

Solve the equation first for "m"

6m + 12 = 42

6m = 30 (subtract 12)

m = 5 (Divide by 6)

5 is your answer

Hope this help! Please mark me brainliest, it helps!

Answer:

625 in²

Step-by-step explanation:

⇒ Area of the figure = Area of the rectangle + Area of the triangle

Finding the base of the triangle

Finding Area

Answer:

8 large frames and 13 small frames

Step-by-step explanation:

Given:
$18 each = large frames

$8 each = small frames

To Find:

⇒  Bought 21 frames for ​$​248, find how many of each type she bought

Solve:

1 Large frame costs = 18 $

Therefore, x large frames costs = 18x $

{where x is the number of large frames she bought}

1 Small frame costs = 8 $

Therefore, x Small frames costs = 8y $

{where y is the number of small frames she bought}

By the given condition :

18x + 8y = 248        {equation 1}

x + y = 21                 {equation 2}

Solve these equations simultaneously, from second equation we get :

x = 21- y

18⋅(21−y)+8y= 248

378 - 18y+8y = 248

-10y = -130

y = 13

Put y = 13 in eq x = 21- y

x = 21  - y

x = 21 - 13

x = 8

So the woman bought 8 large frames and 13 small frames.

~lenvy~

Answer:

[tex]x = 12\ m,\ perimeter = 63\ m[/tex]

Step-by-step explanation:

Step 1:  Determine x

[tex]\frac{15\ m}{10\ m} = \frac{x}{8\ m}[/tex]

[tex](15\ m*8\ m) = (10\ m * x)[/tex]

[tex]120\ m^2 / 10\ m = x * 10\ m / 10\ m[/tex]

[tex]12\ m = x[/tex]

Step 2:  Determine the perimeter of the figure

[tex]18\ m + 15\ m + 10\ m + 8\ m + 12\ m[/tex]

[tex]63\ m[/tex]

Answer:  [tex]x = 12\ m,\ perimeter = 63\ m[/tex]

B is the right answer

I hope it will help you

Answer:

The answer is 29.25%.

Step-by-step explanation:

Answer:

40

put some efforts dude...they are so easy

Answer:

40

Step-by-step explanation:

hope that helps

Answer:

4<x<6

Step-by-step explanation:

4 is smaller than x

and x is samller than 6

so its 5

1320

Step-by-step explanation:

the triangle,1/2×15×20×2=300 .rectangle,17×25=425,20×17=340,15×17=255. sum them up 300+255+425+340=1320

The frequency distribution table shows the distribution of the rice consumed by the families

From the question, we have the interval to be:

Interval = 6

Start by calculating the range

Range = Highest - Least

This gives

Range = 60 - 20

Range = 40

Calculate the class width

Width = Range/Interval

This gives

Width = 40/6

Width = 7

So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61

Using the above classes, we have the following frequency distribution table.

Class Frequency

20 - 26 6

27 - 33 3

34 - 40 7

41 - 47 4

48 - 54 3

55 - 61 4

From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40

Read more about Frequency Distribution Table at:

https://brainly.com/question/1094036

Answer:

Its 9.0 units

Step-by-step explanation:

For the side mostly to the left, its gonna be 3 units, since we can easlily count it

Now, for the diagonals, we have to use the formula for the area of a triangle, which is (l * w) / 2 = a.

For the bottom side, its 3 along the x axis and 1 along the y axis. 3 * 1 is 3, now divide that by 2 and you got 1.5

Now, for the right side, its 5 on the y, 1 on the x. Multiply 1 by 5, you got 5. Now divide that by 2 and you have 2.5

Finally, for the top side, its 4 on the x, and 1 on the y. 4 * 1 is 4, divided by 2 and its 2.

Alright, now we have to add 'em all together. 3 + 1.5 + 2.5 + 2 is 9 units

Theres your answer :)

Answer:

[tex]s - 144 = 290[/tex]

[tex]s = 434[/tex]

Step-by-step explanation:

the keyword is remaining. Meaning the teacher slready has 144 reserved but needs to get 290 spots more.

Answer:

Below!

Step-by-step explanation:

Given data: 1, 3, 5, 8, 10

Determining the median of the data:

The median is the "middle number" of the data in ascending or descending order. In this case, the data is already in ascending form. Since the number of digits in the data is ODD, we will use to formula (n + 1)/2 (where "n" is the number of digits) to determine the median.

Determining the mean of the data:

The mean of the data is the average number of the data (as said above). To determine the average number (mean), we need to sum the digits in the data and divide it by the total digits in the data. In this case, the sum of the digits in the data is 27 and the total digits in the data is 5.

Determining the mode of the data:

The mode of the data is the number that has repeated the most.

Since all the digits in the data has repeated once, all the numbers in the data (1, 3, 4, 8, 10) are the mode.

Determining the range of the data:

The range of the data is the difference of the largest and smallest number (As said above).

Answer:

Median: 5

Mean: 5.4

Mode: 1, 3, 5, 8, 10

Range: 9

Step-by-step explanation:

Median: the middle value.

Mean: the average (found by adding up all of the numbers and dividing them by the number of numbers in the data set).

Mode: the number that is most frequent.

Range: the difference between the biggest and smallest values.

First, make sure your data set is in numerical order: 1, 3, 5, 8, 10

Median: 5

1, 3, 5, 8, 10

Mean: 5.4
1 + 3 + 5 + 8 + 10 = 27

27/5 = 5.4

Mode: 1, 3, 5, 8, 10

1, 3, 5, 8, 10

All of them, as they all appear once.

Range: 9

10 - 1 = 9

Hope this helps!

Answer:

591

Step-by-step explanation:

Let's use algebra to solve this question:

Units digit = x

Hundreds digit = x+4

Tens digit = 3 + (x+4) + x = 2x +7

All 3 digits = 15

so x + (x+4) + 2x + 7 = 15

4x +11 =15

4x = 4

x = 1

Then you substitute:

Units = 1

Hundreds = 1+4 = 5

Tens = 2(1) + 7 = 2 + 7 = 9

The number is therefore 591.

Answer:

multiply 3 or *3 that is 2*3=6

Answer:

1.898×[tex]10^{27}[/tex]

2×[tex]10^{27}[/tex]

Step-by-step explanation:

so, there's what's called standard form in maths. this is where you're given a crazy-long chain of digits and are made to shorten that long number. the great thing about this kind of notation is that it makes reading large quantites easier (like super easy)

I hope you'll find this helpful

please correct any and all errors found :)