What are the solutions to this quadratic equation? -2x2+x+4=0

Answer:

a₈₇ = 497

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 19 and d = a₂ - a₁ = - 13 - (- 19) = - 13 + 19 = 6 , then

a₈₇ = - 19 + (86 × 6) = - 19 + 516 = 497

Given:

Cost of 200 g of mixed nuts = $2.50.

To find:

The price of 450 g of nuts.

Solution:

We have,

Cost of 200 g of mixed nuts = 2.50 dollars

Cost of 1 g of mixed nuts = [tex]\dfrac{2.50}{200}[/tex] dollars

Cost of 450 g of mixed nuts = [tex]\dfrac{2.50}{200}\times 450[/tex] dollars

                                               = [tex]\dfrac{2.50}{4}\times 9[/tex] dollars

                                               = [tex]5.625[/tex] dollars

Therefore, the price of 450 g of nuts is $5.625.

Answer:

R(-4,-8) and T(-8,8)

Step-by-step explanation:

Answer:

36 cubes

Step-by-step explanation:

Dimension of rectangular prism :

Length: Fraction 1 and 1 over 2 units,

Width: Fraction 1 over 2 unit

Height: Fraction 3 over 4 unit

Volume of rectangular prism, V = Length * width * height

V = 1 1/2 * 1/2 * 3/4

V = 3/2 * 1/2 * 3/4 = 9 / 16 unit³

Volume of cube :

Side length of cube, s = 1/4

Volume, V = s³ = (1/4 * 1/4 * 1/4) = 1/64 units

Number cubes required :

9/16 ÷ 1/64

9/16 * 64/1 = 576 / 16 = 36

36 cubes are required.

Answer: 36

Step-by-step explanation: you have to think so like this  1 over 4 is 0.25 so what is 1÷4=0.25  so what  1 ÷ 0.25= 4

4 ÷0.25 = 16 so add all what say up answer is 36

Answer:

3053.63

Step-by-step explanation:

Not sure how to explain-

but i hope it helps c:

Answer: 5/3

5/8÷3/8​ =

5/8 * 8/3 =

40/24​ = 20/12 = 10/6 = 5/3

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

If the diagonal line passes through the origin, that means it is proportional. That means that for every point on the line y/x is constantly the same value. So we have k/2=32/k.

Cross multiply: k^2=64

Square root both sides: k=8

Answer:

add 2 equations given

3y+x+2y- x = 10

5y =10

y = 2

find x using the value of y

x = - 2

these values of x and y are can satisfy both equations .so (-2,2) lies on both lines

Câu trả lời:

26,2 cm

Giải thích từng bước:

Độ dài của một cung tính bằng radian được cho là:

L = θr

Ở đâu ; θ = góc trung tâm; r = Bán kính

θ = π / 3; r = 25cm

Độ dài của cung = π / 3 * 25

Chiều dài cung = 26,179938

Chiều dài cung = 26,2 cm

Answer:

C. 2%

Step-by-step explanation:

when you have a decimal and are looking for the percentage, simply move the decimal two places to the right. so .0201= 2%

Answer: C. 2%

Step-by-step explanation:

STEP ONE: Convert the decimal into a percentage

Percentage = Number × 100%

Percentage = 0.0201 × 100%

Percentage = 2.01%

STEP TWO: Round to the nearest ones

2.01% ≈ 2%

Hope this helps!! :)

Please let me know if you have any questions

Answer:

-1

Step-by-step explanation:

The only variable in this expression is y and it's coefficient, which is the number and it's sign before the term, is -1.

In the expression, 6 and 3 are constants. This is because they have a fixed value and they do not change.

However, the algebraic term y can have different values depending on the equation it is in and is thus known as a variable term.

Although the number '1' is not written, it is implied that the digit 1 (or in this case -1) is there. For example, instead of writing 1x, we can simply write x. The coefficient cannot be zero as if there is zero y, the y term would not exist in the first place.

Answer:

a.) r = 60ft

b.) ball_distance = 68ft

Step-by-step explanation:

Use Pythagorean theorem:

(r^2) + (32ft)^2 = (r + 8ft)^2

r^2 + 1024sqft = r^2 + (16ft)×r + 64sqft

960sqft = r×(16ft)

(960sqft) / (16ft) = r

r = 60ft

Radius is green. Ball is 8ft further than green. 68ft.

Answer:

i think (4,2)

Step-by-step explanation:

[tex]\large\sf \: x + \frac{3x}{2} = 35[/tex]

Find x

________________

[tex]\sf \: x + \frac{3x}{2} = 35 \\ \sf \: \frac{x}{1} + \frac{3x}{2} = 35 \: (take \: LCM \: = 2) \\ \sf \: \frac{2x}{2} + \frac{3x}{2} = 35 \\ \sf \: \frac{2x + 3x}{2} = 35 \\ \sf \: 2x + 3x = 35 \times 2 \\ \sf \: 5x = 70 \\ \sf \: x = \frac{70}{5} \\ \sf \: x = \boxed{ \underline{ 14}}[/tex]

_________________

Answer ⟶ [tex]\boxed{\bf{x= 14}}[/tex]

hope it was helpful, aby questions u have u r welcome

Answer:

9m³n⁴

Step-by-step explanation:

18m^5n^4 = 2×3² m^5n^4

45m^3n^6 = 3²×5 m^3n^6

GFC = 3² m³n⁴ = 9m³n⁴

Answer:

140 degrees

Step-by-step explanation:

(n-2) times 180

9-2 times 180

7 times 180

1260

1260/9 = 140

Interior angle sum of the given regular polygon of 9 sides is 1260°.

A regular polygon is a closed figure where all sides are equal. Interior angles of a regular polygon are the angles formed between the edges of the polygon. The formula for calculating the sum of interior angles of a regular polygon = (n-2) * 180

where, n is the number of sides of a regular polygon.

Number of sides in the regular polygon  = 9

n = 9

Sum of interior angle of the regular polygon =

(n-2) * 180 = (9-2) * 180 = 7 * 180 = 1260°

Learn more about polygon here

https://brainly.com/question/17756657

#SPJ2

Answer:

cot is an inverse function or rival of tan:

[tex]{ \boxed{ \bf{ \cot( \theta) = \frac{1}{ \tan( \theta) } }}}[/tex]

Considering the question:

[tex]{ \tt{ \frac{ \tan( a) - \tan(b) }{ \cot(b) - \cot(a) } = \tan(a) . \tan(b) }} \\ \\ { \tt{ \tan(a) - \tan(b) = ( \tan(a). \tan(b) )( \cot(b) - \cot(a) ) }} \\ { \tt{ \tan(a) - \tan(b) = \tan(a) \cot(b) \tan(b) - \cot(a) \tan(a) \tan(b) }} \\ \\ { \tt{ \tan(a) - \tan(b) = \frac{ \tan(a) \tan(b) }{ \tan(b) } - \frac{ \tan(a) \tan(b) }{ \tan(a) } }} \\ \\ { \tt{ \tan(a) - \tan(b) = \tan(a) - \tan(b) }}[/tex]

#Hence L.H.S = R.H.S, equation is consistent.

Given:

A line passes through the point (1,4) and is parallel to the x-axis.

To find:

The equation of the line.

Solution:

If a line is parallel to x-axis, then the line is a horizontal line. We know that the slope of a horizontal line is always 0. So, the slope of the required line is 0.

The point-slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope and [tex](x_1,y_1)[/tex] is the point.

The slope of the required line is 0 and it passes through the point (1,4). So, the equation of the line is:

[tex]y-4=0(x-1)[/tex]

[tex]y-4=0[/tex]

[tex]y-4+4=0+4[/tex]

[tex]y=4[/tex]

The required equation is [tex]y=4[/tex].

Therefore, the correct option is B.

Answer:

dodndbdie9ejrnfudowp2ejdnsmwo2oeidndndoep

Answer:

The maximum  volume is 35316.4 in^3.

Step-by-step explanation:

Length + width + height is less than equal to 62 inches

Height = width = W

Let the length is L .

[tex]L + W + W = 62 \\\\L= 62 - 2 W\\\\Volume, V = L W H\\\\V = (62 - 2 W)\times W \times W\\\\V = 62 W^2 - 2 W^3\\\\\frac{dV}{dW}=124 W - 6 W^2\\\\So, \frac{dV}{dW} =0\\\\124 = 6 W\\\\W = 20.67 inches[/tex]

So, the maximum volume is

[tex]V =124\times 20.67\times 20.67 - 2 \times 20.67^3\\\\V =52978.86 - 17662.46 = 35316.4 inch^3[/tex]

Answer:

Step-by-step explanation:

Answer:

If there are two line which is parallel in a triangle the triangle has a ratio

Step-by-step explanation:

So we can see one side has 6cm and 4cm length. and other side has 20cm in totally. But we know that the small line divided the side with 6/4 ratio and we can say ?=12 and other is 8

Answer:

Step-by-step explanation:

============================================

Explanation:

Since we have an isosceles right triangle, the the length of the hypotenuse (let's call it y) is equal to sqrt(2) times the leg length x.

In other words, [tex]y = x*\sqrt{2}[/tex]

If we replaced y with 3*sqrt(2), then we could say,

[tex]y = x*\sqrt{2}\\\\3\sqrt{2} = x*\sqrt{2}[/tex]

in which we can see that x = 3 must be the case. Or you could divide both sides of that last equation by sqrt(2) to find x = 3.

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

Another method:

We'll use the pythagorean theorem

[tex]a^2+b^2 = c^2\\\\x^2+x^2 = \left(3\sqrt{2}\right)^2\\\\2x^2 = 3^2*\left(\sqrt{2}\right)^2\\\\2x^2 = 9*2\\\\2x^2 = 18\\\\x^2 = 18/2\\\\x^2 = 9\\\\x = \sqrt{9}\\\\x = 3\\\\[/tex]

We get the same answer as before.

Answer:

3

Step-by-step explanation:

Assuming the question is 11x+9x³-8y+5, the highest degree on x is 3

if, it's just 11x+9*x*3-8y+5, then the degree is 1, which I don't think the equation you wanted to ask.

Answered by GAUTHMATH

Answer:

Approximately = 0.17

Step-by-step explanation:

Answer:

[tex]\frac{25}{25+4+120 }[/tex]

[tex]\frac{25}{149 }[/tex]

.17 = 17%

Step-by-step explanation:

*ANSWER:*

I think the answer is Option (B)

Step-by-step explanation:

..........

Answer:

x = 5 ± [tex]\sqrt{44}[/tex]

Step-by-step explanation:

Given

x² - 10x - 2 = 17 ( add 2 to both sides )

x² - 10x = 19

To complete the square

add ( half the coefficient 0f the x- term )² to both sides

x² + 2(- 5)x + 25 = 19 + 25

(x - 5)² = 44  ( take the square root of both sides )

x - 5 = ± [tex]\sqrt{44[/tex] ( add 5 to both sides )

x = 5 ± [tex]\sqrt{44}[/tex]

Then solutions are

x = 5 - [tex]\sqrt{44}[/tex] , x = 5 + [tex]\sqrt{44}[/tex]

Answer:

G = 9y

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

18y² = G(2y²)

Step 2: Solve for G

Option 1: Factor

Option 2: Isolate

Answer:

[tex]\boxed {\boxed {\sf G= 9y}}[/tex]

Step-by-step explanation:

We are given the following equation and asked to find the missing factor that makes the equality true.

[tex]18y^3=(G)(2y^2)[/tex]

Essentially, we need to solve for the variable G.

1. Factoring

One method we can use is factoring.

We could factor the expression 18y³ because we know one factor is 2y². Since this is one of the factors, the other must be 9y.

[tex]18y^3=(9y)(2y^2)[/tex]

If we compare this factored version of the expression with the original equation we see that 9y and G correspond, so they must be equal.

[tex]G=9y[/tex]

2. Solving

Another method we could use is solving.

We can solve the original equation for G by isolating the variable.

[tex]18y^3= (G)(2y^2)[/tex]

G is being multiplied by 2y³. The inverse of multiplication is division, so we divide both sides of the equation by 2y³.

[tex]\frac {18y^3}{2y^2}=\frac{(G)(2y^2)}{2y^2}[/tex]

[tex]\frac {18y^3}{2y^2}= G[/tex]

The coefficients are divided as usual and the exponents are subtracted.

[tex]9y= G[/tex]

Answer:

Hello,

(gof)(x)= f(g(x)

is the composition which produces the greater output

Step-by-step explanation:

(fog)(x)= g(f(x))

=g(2x-6)

=5(2x-6)+1

=10x-29

(gof)(x)=f(g(x))

=f(5x+1)

=2(5x+1)-6

=10x-4

But for all real, 10x-29 < 10-4