Rewrite the quadratic equation in standard form 4x^2=2x-6

The volume of the prism will be 88 cubic units. Then the correct option is B.

Given that:

Length, L = 4 units

Width, W = 4 units

Height, H = 5.5 units

The volume of the prism is given as,

V = L x W x H

The volume of the prism is calculated as,

V = 4 x 4 x 5.5

V = 88 cubic units

The volume of the prism will be 88 cubic units. Then the correct option is B.

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The complete question is given below.

Answer:

17 3/4 feet long

or

17.75 feet long

Step-by-step explanation:

11 1/2 -> 11 2/4 (just multiplying numerator/denominator by 2

11 2/4 + 6 1/4 = 17 3/4

Answer:

17 3/4

Step-by-step explanation:

Convert 6 1/4 to an improper fraction (25/4)

Convert 11 1/2 to an improper fraction (23/2)

Multiply 23/2 by 2/2 to get a common denominator

which makes 25/4 +23x2/4

And 25+46=71

So 71/4

Then to change it back into a mixed number you divide 71 by 4 and get

17 3/4

The algebraic expression given is written as: 3y - 4

Algebraic word problems are defined as questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

We are given the word problem as 4 less than the product of 3 and y. Expressing this as an algebra gives us:

3y - 4

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The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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Answer:

y = 5x

Step-by-step explanation:

The first step is to find the slope. The table shows an increase of 5 on the x-axis and 1 on the y-axis. Our slope is 5/1 or 5

The y-intercept is 0 because when x=0, y=0. The value of y is the y-intercept.

Answer:

The answer would lie within 31 degrees of MP and also as in PM.

Answer:

central m arc MP=118°

Step-by-step explanation:

here

central m arc MN=2* inscribed m arc MN=2*31=62°

again

central m arc MN+ central m arc MP=180° being linear pair

substituting value

62°+central m arc MP=180°

central m arc MP=180°-62°

central m arc MP=118°

Answer:

43046721/1

Step-by-step explanation:

9^2 * 9^6

81(531441)= 43046721

(if interpreted correctly, not sure what you mean by fraction form since the answer is a whole number)

could be written as 43046721/1

Answer:

cross multiple

17×f=34×7

17f/17=578/17

f=34

When edge D connects with edge X, this net is folded into a cube, which is obtained by folding the given figure in cube.

A cube is a solid shape with six square faces. Each side of a square  has the same side length, so all  faces are the same size.

A cube has 12 sides and 8 vertices. Each vertex refers to the angle where the three edges of the cube meet.

Shape Properties of  Cube  

Thus, when edge D connects with edge X, this net is folded into a cube.

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To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.

1. Determine the midpoint of the line segment:

  - The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:

    \(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

    In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).

2. Calculate the midpoint coordinates:

  - Substitute the values into the midpoint formula to find (x_mid, y_mid).

3. Find the slope of the line segment:

  - Use the slope formula: slope = (y2 - y1) / (x2 - x1).

    Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.

4. Determine the negative reciprocal of the line segment's slope:

  - Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.

5. Write the equation of the perpendicular bisector:

  - Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.

6. Substitute the point (å, ä) into the equation:

  - Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.

7. Verify that the equation holds true:

  - If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.

By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).

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Answer:

Josh's pizza was cut into 4 peices,Lisa's pizz was cut into 8 slices and viki's pizza was cut into 12 peices

Step-by-step explanation:

so this is possible because all of their pizza's were cut in to different amount of slices

Answer:

Step-by-step explanation:

Because Josh's pizza was in 4ths and he only ate one piece, Lisa's pizza was in 8ths and she ate two 8ths of the pizza which also equals 1/4 of a pizza, and Vicki's pizza was in 12ths and she ate three slices which equals 1/8 of a pizza and another 1/12 of the pizza, or also equals 1/4 of a pizza, so THAT is how it is possible.

Answer:

sorry I. don't. know

The interest amount is $622.85

The given parameters are:

The interest amount is calculated as:

I = P(1 + r/n)^(nt) - P

This gives

I = 1000 * (1 + 4.5%/1)^(1 * 11) - 1000

Evaluate the products and the quotient

I = 1000 * (1 + 0.045)^(11) - 1000

Evaluate the sum

I = 1000 * (1.045)^(11) - 1000

Solve

I = 622.85

Hence, the interest amount is $622.85

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The Julián has 0.84 euros left after making these purchases.

Given that Julián spends 2/5 of his savings on a school trip, and 25% of his savings on skates. The question is asking us to find out how much the skates cost and how much money he has left after making these purchases. Let's solve this problem step-by-step.

Part (a) is already solved as we know that Julián spends 2/5 of his savings on a school trip and 25% of his savings on skates.

Part (b) To determine how much the skates cost, we need to first find out what percentage of his savings he spent on skates. Since he already spent 2/5 of his savings, that means he has 3/5 left.

And since he spent 25% of his total savings on skates, we can set up an equation as follows:

0.25(x) = 3/5where x is his total savings.

Cross-multiplying: 0.25(x) * 5 = 3x1.25x = 3x = 3/1.25x ≈ 2.4So, his total savings would be around 2.4 euros.

Therefore, the cost of the skates is 0.25(2.4) = 0.6 euros.Part (c) To find out how much money he has left, we subtract the cost of the school trip and the skates from his total savings:

Total savings - School trip - Skates

= Money left2.4 - (2/5)(2.4) - 0.6

= Money left2.4 - 0.96 - 0.6

= Money left0.84 euros

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Answer:

\(y=-\dfrac{1}{2}x-3\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)

Given equation:

\(y=-\dfrac{1}{2}x+1\)

Parallel lines have the same slope.

Therefore, the slope of the line parallel to the given equation is:

\(m=-\dfrac{1}{2}\)

Substitute the found slope and given point (-4, -1) into the point-slope formula:

\(\implies y-(-1)=-\dfrac{1}{2}(x-(-4))\)

\(\implies y+1=-\dfrac{1}{2}(x+4)\)

\(\implies y+1=-\dfrac{1}{2}x-2\)

\(\implies y=-\dfrac{1}{2}x-3\)

Therefore, the equation of the line passing through (-4, -1) and parallel to the given equation is:

\(\boxed{y=-\dfrac{1}{2}x-3}\)

Answer:

Suv= About 22 miles

Truck= 28 miles

Step-by-step explanation:

To find the unit rate of both vehicles, divide the number by how many gallons of gas to see how many miles both vehicles drive on 1 gallon.

The statement noncollinear points are points that do not lie on the same line is a postulate. Option C

Postulates are ideas suggested or accepted as a basic principle before a further idea is formed or developed from it.

It is generally known that non -collinear points are points that do not lie on the same line

Some postulates about non -collinear points are:

Thus, the statement noncollinear points are points that do not lie on the same line is a postulate. Option C

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given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

1.67 pounds flour we get per dollar.

Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.

Given,

Cost for 2 pounds of flour = $ 1.20

Cost per pound of flour = $ 1.20 /2

                                       = $ 0.20

Now for 2 dollar we get flour = 2 pounds.

for 1 dollar we will get flour = 2/1.20 pounds

                                              = 1.6666 pounds

i.e. for 1 dollar we will get flour = 1.67 pounds.

So, 1.67 pounds flour we get per dollar.

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Answer:

= 56°

= 34°

Step-by-step explanation:

3x + 5 + 2x = 90°

3x + 2x + 5 = 90°

5x + 5 = 90°

5x = 90 - 5

5x = 85

x = 85/5

x = 17

3x + 5

= 3(17) + 5

= 51 + 5

= 56°

2x

= 2(17)

= 34°

Answer:

x° = 79°

z° = 101°

Step-by-step explanation:

Explanation:

Here is one valid pathway to solve for h. There may be other pathways.

\(A = 2\pi r^2 + 2\pi r h\\\\A-2\pi r^2 = 2\pi r h\\\\2\pi r h = A-2\pi r^2\\\\h(2\pi r) = A-2\pi r^2\\\\h = \frac{A-2\pi r^2}{2\pi r} \ \text{ ... showing Renee is correct}\\\\\)

We can keep going with further steps as shown below

\(h = \frac{A-2\pi r^2}{2\pi r}\\\\h = \frac{A}{2\pi r}-\frac{2\pi r^2}{2\pi r}\\\\h = \frac{A}{2\pi r}-\frac{\pi r^2}{\pi r}\\\\h = \frac{A}{2\pi r}-\frac{r^2}{r}\\\\h = \frac{A}{2\pi r}-r \ \text{ ... showing Talia is also correct}\\\\\)

Only Renee and Talia are correct. The other students are incorrect.

The values of x, y , and z in the matrix equation is 3, 4, 0 respectively.

The solution of the matrix equation is calculated by applying Cramer's rule as shown below;

[ 1     1     -1 ]  [ 7 ]

[ 2    3     0 ] [ 18 ]

[ -5   -7    -1 ] [ -43 ]

The determinant of the matrix is calculated as follows;

[ 1     1     -1 ]  

[ 2    3     0 ]

[ -5   -7    -1 ]

Δ = 1 (-3 - 0) - 1(-2 - 0 )  - 1(-14 + 15)

Δ = -2

The x determinant of the matrix is calculated as follows;

[ 7     1     -1 ]  

[ 18    3     0 ]

[ -43   -7    -1 ]

Δx = 7 (-3 - 0) - 1 (-18 - 0 )  - 1(-126 + 129)

Δx = -6

The y determinant of the matrix is calculated as follows;

[ 1     7     -1 ]  

[ 2    18     0 ]

[ -5   -43   -1 ]

Δy = 1 (-18 - 0 )   - 7(-2 - 0 )  -1(-86 + 90)

Δy = -8

The z determinant of the matrix is calculated as follows;

[ 1     1     7 ]  

[ 2    3    18 ]

[ -5   -7   -43]

Δz = 1 (-129 + 126) - 1(-86 + 90) + 7(-14 + 15)

Δz = 0

The values of x, y , and z is calculated as;

x = Δx/Δ = -6/-2 = 3

y = Δy/Δ = -8/-2 = 4

z = Δz/Δ = 0/-2 = 0

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The composite function is positive at the interval (-7, ∝)

From the question, we have the following parameters that can be used in our computation:

The table of values of the function f(x)

Also, we have

The table of values of the function g(x)

The composite function (f - g)(x) is calculated as

(f - g)(x) = f(x) - g(x)

From the table of values, we have the following values

(f - g)(-10) = f(-10) - g(-10) = -3 - 9 = -12 --- negative

(f - g)(-7) = f(-7) - g(-7) = 6 - 6 = 0 --- zero

Also, we have

(f - g)(-4) = f(-4) - g(-4) = 15 - 3 = 12 --- positive

This means that the interval is (-7, ∝)

Hence, the composite function (f - g)(x) is positive at the interval (-7, ∝)

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Answer:

below

Step-by-step explanation:

2x-y =14

-3x+y = -6     add these two equations together....this will 'eliminate' y

-x = 8

x = -8    use this value of x in one of the equations to find y = -30

Answer:

66n-17m

Step-by-step explanation:

..................

Answer:

66n - 31m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

26n - 7m + 4(10n - 6m)

Step 2: Simplify

Multiply both sides by 2pi:

F(2pi) = sqrt(g/l)

Square both sides:

F^2 (2pi)^2 = g/l

Solve for l by dividing both sides by F^2 (2pi)^2

L = g/ F^2 (2pi)^2

Simplify:

L = g / 4pi^2(f^2)

\( \huge \boxed {\sf \: {Answer}}\)

\(( {x}^{7} + 5x ^{4} - x + 2) - ( {5x}^{4} - {x}^{3} + 2) \\ ={x}^{7} + 5x ^{4} - x + 2 - {5x}^{4} + {x}^{3} - 2\\ = {x}^{7} + 5x ^{4} - {5x}^{4} + {x}^{3} - x + 2 - 2 \\ = {x}^{7} + {x}^{3} - x \\ = x( {x}^{6} + {x}^{2} - 1)\)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

3 1/24

Step-by-step explanation:

Drew: 5 3/8

Collin: 8 5/12

8 5/12-5 3/8=