5x^2+2x-3=0 by factorisation method​

Answer:

The total amount after five years =  $7,000

Step-by-step explanation:

Step(i):-

Given Esther deposited $5,000 into an account

Principal amount 'P' = 5000

Given rate of interest (R) = 8%

r = R / 100 = 0.08 per year

Step(ii):-

The total amount after 5 years

            [tex]A = P( 1 + r t )[/tex]

          [tex]A = 5000(1+ (0.08 X 5) = 7000[/tex]

Final answer:-

The total amount after five years =  $7,000

Answer:

c

Step-by-step explanation:

I took the test and got it right

The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.

C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.

Let's break down the steps:

Seven to the one-third power all raised to the third power:

[tex](7^{(1/3)})^3[/tex]

Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:

[tex]7^{(1/3 * 3)[/tex]

The exponent 1/3 multiplied by 3 is equal to 1:

[tex]7^1[/tex]

Any number raised to the power of 1 is itself, so:

7

This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.

Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.

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Answer:

14 and 5

Step-by-step explanation:

the range is 5 and the domane is 14

Answer:

Answer:

P=5n/m-qr

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

X = 41°

Step-by-step explanation:

[tex] \angle1 + \angle2 + \angle3 = 180 \degree [/tex]

[tex]Here \\ \angle1 = 105 \degree \\ \angle2 = ? \\ \angle3 = x[/tex]

[tex] \angle4 = 146 \degree[/tex]

[tex]here \: \angle2 + \angle4 = 180 \degree \\ \: (liner \: pair \: angle) degree\\ \angle2 + 146\degree = 180 \degree \\ \angle2 = 180 \degree - 146\degree \\ \angle2 = 34\degree[/tex]

[tex] \angle1 + \angle2 + \angle3 = 180 \degree \\ 105\degree + 34\degree + x = 180\degree \\ 139\degree + x = 180\degree \\ x = 180\degree - 149\degree \\ x = 41\degree[/tex]

Answer:

200

Step-by-step explanation:

160/80 is 2. 2 times 100 is 200

Answer:

105

Step-by-step explanation:

because you multiply 5 times 3 which is 15 times 7 equals 105

Answer:

You got the answer already but whatever

50.41 and 51.84

Step-by-step explanation:

Like you already have the answer up there.

Answer:

(ASA) Angle Side Angle

Step-by-step explanation:

Both triangles shown have the congruence line on an angle and an adjacent side. ASA proves congruence because in addition to the angle and side, the triangles ADE and CBE share the same angle on point E. Because the two lines are intersecting, their opposite angles are congruent and the triangles share the opposite angles.

The triangle congruence theorem that could be used to show that triangle ADE is congruent to triangle CBE is;

ASA Congruence theorem.

Looking at the given triangles we can say that;

∠AED = ∠CEB

This is because they are both vertically opposite angles and vertically opposite angles are equal.

Now, from the triangle, we are given that;

∠DAE = ∠BCE

We are also given that;

AE = CE

This means that we have 2 corresponding angles and 1 corresponding included side that are congruent.

Thus, the congruence theorem that this represents is ASA Congruence theorem.

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Answer:

4:5 that's last answer i got

Approximate solutions are the estimate values of an equation

The approximate solution of the equation is x = 0.45

The equation is given as:

[tex]x^3 + 2x- 1= 0[/tex]

The iteration is given as:

[tex]x_{n+1} = \frac{1}{x_n^2 + 2}[/tex]

To start with, we have:

[tex]x_1 = 1[/tex]

So, we have:

[tex]x_2 = \frac{1}{1^2 + 2} = \frac 13 =0.33333333[/tex]

The next iteration is:

[tex]x_3 = \frac{1}{0.33333333^2 + 2} = 0.47368421102[/tex]

The next iteration is:

[tex]x_4 = \frac{1}{0.47368421102^2 + 2} = 0.4495641344[/tex]

The next iteration is:

[tex]x_5 = \frac{1}{0.4495641344^2 + 2} = 0.45411035264[/tex]

The next iteration is:

[tex]x_6 = \frac{1}{0.45411035264^2 + 2} = 0.45326473189[/tex]

Notice that:

x5 and x6 have the same value to 2 decimal places.

i.e. [tex]x_5 \approx x_6 = 0.45[/tex]

Hence, the approximate solution of the equation is x = 0.45

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Answer:

7,460

Step-by-step explanation:

Whole numbers are counting numbers like 0, 1, 2, 3, . . .. Whole numbers are positive integers including 0

When rounding a number to the nearest whole number, firstly check the first digit after the decimal point. If the first digit is less than 5 we don't round up, but if the first digit is 5 or greater we round up.

Given the number 7,459.82

We check, the first digit after the decimal point, since this digit is greater than 5 (i.e. 8) we round u to get 7,460

Answer:

Mind if ya brainiest meh

Step-by-step explanation:

The volume of the hemisphere is 1071.78 ft^3

Answer:

9-pack of hot dogs for $3.61

Answer:

Step-by-step explanation:

This is a question on the unit price. The better buy is the lower unit price. But that only works if you have 8 people to share the dogs with.

2 dogs cost 0.81

1 dog is 0.81/2 = 0.405 which you should write as 0.41

9 dogs are 3.61

1 dog is 3.61/9 = 0.401 what you (again) should be 0.41

Ever so marginally, you should pick the 2 dogs if there are only 2 people and 9 dogs if you are buying for a baseball team.

Answer:

12a)  4L - 6 = Perimeter

13) 4(6x + 9)

Step-by-step explanation:

for #12:  two sides of the rectangle are referred to as L

The other two sides can be referred to as L-3 (these sides are the width, which are 3 less than the length)

Perimeter = sum of all sides; so, 2L + 2(L-3)

P = 2L + 2L - 6

  = 4L - 6

Answer: 12. The expression is 2L+2(L-3)

13. The answer is 6x+9

Step-by-step explanation:

12. The perimeter of a rectangle is 2*length +2*width. So, in this case (when L is the length of the rectangle) the perimeter should be 2L+2(L-3). If you simplify you will get 4L-6.

13. The perimeter is just the value you get when all the sides of a shape are added. A square has 4 equal sides. So, just divide the perimeter, which in this case is (24x+36), by 4. You should get 6x+9.

Answer:

x+y=2100

x(0.04) + y(0.02) = 62

(2100-y)(0.04)+ 0.02y = 62

84-0.02y = 62

22/0.02=y

y=1100

x=1000

Step-by-step explanation:

The given function f(x)=3x²=f(x)=3x²+0x+0 is a quadratic function

Answer:  This is a linear equation. The graph is a diagonal line with a slope of +1. The y-intercept is -1

Step-by-step explanation: The line intersects the y-axis at -1 and the x-axis at +1

The equation 3x + 4 = 4x + 3 has one solution.

To determine the number of solutions for the equation 3x + 4 = 4x + 3, we can simplify and analyze the equation.

First, we can rearrange the equation by moving all the x terms to one side and the constant terms to the other side:

3x - 4x = 3 - 4

Simplifying further:

-x = -1

Next, we can multiply both sides of the equation by -1 to eliminate the negative sign:

x = 1

Therefore, we have found a single solution for x, which is x = 1. This means that when we substitute x = 1 into the original equation, both sides will be equal.

In summary, the equation 3x + 4 = 4x + 3 has one solution, which is x = 1. This can be verified by substituting x = 1 back into the equation and confirming that both sides are equal.

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Answer:

n(A) = 6

Step-by-step explanation:

Let consider a set A = {a, m, b, d, h}. There are five elements in the set. The no of elements in a set is known its cardinality. Since set A has five elements, its cardinality number is 5. The cardinality of the set A is denoted by n(A).

Hence, from the given information:

The set A = {1, 2, 3, 4, 0, 7} have a cardinality number of 6

n(A) = 6

Answer:

i think it’s C

Step-by-step explanation:

-f(x) represents -square root of x, so i plugged negative square root of x subtracted by three into desmos and it matches the graph !

Answer:

y = -f(x)-3

Step-by-step explanation:

Just took the edmentum/plato test and I got it right. I also included my answer

Answer:

Slope = 2, y-intercept = 3

Step-by-step explanation:

I will be calculating the slope of the line using these two points: (-1, 1) and (0, 3)

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{3-1}{0-(-1)}[/tex]

          = [tex]\frac{3-1}{0+1}[/tex]

          = 2

Based on the graph, the y-intercept is 3.

Answer:

9.11

Step-by-step explanation:

√83=9.110433579

round 9.110433579 to get 9.11

Answer:

28 blue marbles

Step-by-step explanation:

600 divided by 240 = 2.5

70 divided by 2.5 = 28

Answer:

The formula for perimeter is the sum of

twice the width and twice the length, so

the formula would be:

Perimeter = 2W + 2L

In this problem:

Width is unknown (x)

Length is twice the width (2x)

and Perimeter = 60, so to set it up:

60 = 2x + 2(2x)

60 = 2x + 4x

60 = 6x

x = 10

Width = 10; Length = 20

So then you do 20/10

= 2

2 is the answer

Step-by-step explanation:

Hope this helps,

Please give brainliest if you like my answer.

Answer: about 3 i think

Step-by-step explanation:

Answer: 8x + 6

Step-by-step explanation: Multiply the like terms. 4x times 2x is 8x, and 2 times 3 is 6. That equals 8x+6