(x+2)(x+8)=0 show work

Answer:

Step-by-step explanation:

You take items out of a square root if you have a pair of numbers or if you know the square root.  

\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)

So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3

Now for the b's for every pair there are, you can take that out.  There are 3 pairs of b's so b³ is outside and one b is left inside.

Answer:

4b³\(\sqrt{3b}\)

Answer:

ears to paws to tails,

which is 6 to 12 to 3.

4 paws to every tail.

2 paws to every ear.

Step-by-step explanation:

The ratio of ears, paws, and tail will be 6:12:3.There are 4 paws to every tail and 2 paws to every ear.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that,

Number of cats in room = 3

Each cat has 2 ears, 4 paws, and 1 tail.

If there are three cats total number of ears, paws, and tails will be three times the individual as 6,12, and 3.

As a result,

The ratio of ears, paws, and tail will be 6:12:3.

There are 4 paws to every tail.

There are 2 paws to every ear.

Thus, the ratio of ears, paws, and tail will be 6:12:3.There are 4 paws to every tail and 2 paws to every ear.

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Answer:

Step-by-step explanation:

5X * 4-->20X

8(2X+3)--> 16X+24

20X=16X+24

4X=24

x=6

Answer:

x = 6

Step-by-step explanation:

(5x) ×4=8× (2x+3)

20x = 16x + 24

20x- 16x = 24

4x = 24

divide both sides by 4 to get the value of x

4x/4 = 24/ 4

x = 6

A set is a mathematical model for a collection of items. The maximum score that you could have received for the test is 21.

A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

For the given question, the number of correct answers must be the same and the marks obtained should be the same. Therefore, we make sets of numbers whose sum is equal and the number is not repeated.

There exist two such sets of numbers whose sum is 21, and the numbers are not repeated in either of the set.

Hence, the maximum score that you could have received for the test is 21.

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Answer:

First two parts are right, last part is 8.2

Step-by-step explanation:

First two parts are right.

Last part is wrong.

Sin(ANGLE)=opp/hyp

sin(20)=W/24

0.34202014332=W/24

W=8.20848343982 or 8.2

Step-by-step explanation:

Let the side parallel to the river be x meter and the other two sides be of y meter, then

 \(12 x+(2 y)(4)=3600\)

\(12 x+8 y &=3600\)

\(3 x+2 y &=900\)

\(2 y &=900-3 x\)

The area of the rectangle is \(A=xy \)

Substitute into to express the area in a single variable x as,

\(A(x) &=x\left[\frac{1}{2}(900-3 x)\right]\)

\(=\frac{1}{2}\left(900 x-3 x^{2}\right)\)

Differentiate A(x) with respect to x and equate to zero as,

\(A^{\prime}(x) &=0\)

\(\frac{d}{d x}\left[\frac{1}{2}\left(900 x-3 x^{2}\right)\right]=0\)

\(900-3(2 x) =0\)

x=150

Here, \(A^{\prime \prime}(x)=-3 x<0\) at \(x=150 \Rightarrow A\) is maximum

Therefore, the dimension is:

Length of side parallel to the river: x=150 m.

Length of other two side: \(y=\frac{1}{2}(900-450)=225\) m.

The equation in term of p that models the above experience is:
2p + 10 = 0.8p + 20.

Any statement that models or captures the factors of a problem where in an equal sign is present to equate two of the factors or expressions therein is called an equation.

Total cost of baking p pizzas with brick oven = A =  p(cost of one pizza) + cost of baking = p(2) + 10 (in dollars).

Total cost of  baking p pizzas with electric oven = B =  p(cost of one pizza) + cost of baking = p(0.8) + 20 (in dollars).

B = A - 1 (as using electric oven saves $1 per day, as given)

Thus, we get:

2p + 10 = 0.8p + 20

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Answer:

4th one

Step-by-step explanation:

The graph that represents the situation is required.

The correct option is option 2.

Here the \(x\) axis denotes the number of hours and

\(y\) axis denotes the pounds of ice.

The given ordered pair is

\((\dfrac{1}{2},1\dfrac{1}{2})=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through \((0.5,1.5)\) is option 2.

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Answer:

A=20 degrees

Step-by-step explanation:

All of the interior angles of a triangle must add up to 180 degrees, so:

2x+5x+11x=180

18x=180

x=10

A=2(10)=20

Hope this helps!

Answer:

Angle A = 20 degrees

Step-by-step explanation:

The sum of the angles of a triangle is 180

A+ B+ C = 180

2x+5x+11x = 180

Combine like terms

18x = 180

Divide by 18

18x/18 = 180/18

x = 10

Angle A = 2x = 2*10 = 20

Angle B = 5x = 5*10 = 50

Angle C = 11x = 11*10 =110

Answer:

\(\frac{3}{20} = 0.15\)

\(\frac{23}{25} = 0.92\)

used math-way

Answer:

Step-by-step explanation:

1a) the y intercept, or 20

b) from 0 weeks to 1 week the difference is 10

c) its y=mx+b m is the slope(difference) and b is the y-int so y = 10x+20

2a) the y int, is the same as the x(number of games played) being zero, so here it is 25

2b) after 3 games it was a loss of 1.50 !!! IMPORTANT !! after THREE weeks, so its 1.5/3=0.5 amount on card per week

2c) (ref 1c) but with that same formula/equation - we get y=0.5x+25

Answer:

im pretty sure its the first

Step-by-step explanation:

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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Answer:

A vertical line that passes through the coordinate (25, 0).

Equation of the vertical line is x = 25

Step-by-step explanation:

2x = 50

x = 25

Answer:

C. (3,25) and (7,9)

Step-by-step explanation:

Answer;

Explanation;

Generally, we have the vertex form of a parabola as;

Where, we have the vertex as (-h,k)

So, we proceed now to complete the square

We start by re-arranging and equating to zero as follows;

We divide the coefficient of x by 2, square it and add to both sides of the equation;

From the above, we have h as 5 and k as -10

The vertex which is (-h,k) would be (-5,-10)

Answer:

yes he will have enough money

he will have 56.64

Step-by-step explanation: you can do this two ways i did 65 - 1.89 then did that answer - 3.98 then that answer -2.49 that gave me 56.64

the other way you can do this is by adding 1.89 + 3.98 + 2.49 = the amount you need to subtract with 65 - the amount then you get 56.64

Answer:

y = - \(\frac{2}{3}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

given

2x + 3y = 3 ( subtract 2x from both sides )

3y = - 2x + 3 ( divide through by 3 )

y = - \(\frac{2}{3}\) x + 1 ← in slope- intercept form

with slope m = - \(\frac{2}{3}\)

• Parallel lines have equal slopes , then

y = - \(\frac{2}{3}\) x + b  ← is the partial equation

to find b substitute (3, - 4 ) into the partial equation

- 4 = - 2 + b ⇒ b = - 4 + 2 = - 2

y = - \(\frac{2}{3}\) x - 2 ← equation of parallel line

Answer:

Angle B and Angle D are both 101 degrees

Step-by-step explanation:

Consecutive Angles in a parallelogram are supplementary (add up to 180 degrees).

Given that fact, we can deduce the measure of angle B.

180-79=101.

Angle D has the same setup since Angle D and C are consecutive along with Angle C and B.

180-79=101.

Therefore, both Angle B and D are 101 degrees.

Step-by-step explanation:

Length of a shipping box (L) = 13m

breadth of a shipping box (b) = 7m

height of a shipping box (h) = 3m

Now,

Volume of a shipping box (v) = L*b*h

= 13*7*3

= 273

Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

The equation of the line in the standard form exists 3x - y = 2.

The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.

Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.

The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.

We are asked to graph a line with a slope = -3, passing through the point (1, -5).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

Let the equation be y - -5 = -3(x - 1)

simplifying the equation, we get

y = -3x + 3 - 5

y = -3x - 2

3x - y = 2

The equation of the line in the slope-intercept form exists y = -3x - 2

The equation of the line in the standard form exists 3x - y = 2.

We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.

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Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

Answer:

Step-by-step explanation:

If the diameter increases by 10%,

new diameter = d+⅒ = 1.1d

also new radius = 0.55r

Height also increasesby 10%,

New height = h+⅒h = 1.1h

hence diameter of larger can =

π*(0.55)²*1.1= 1.0453

hence percentage change in volume

is 4.53% which can be rounded off to

The coordinates of image point is (15, 20)

A dilation is a transformation that changes the size of a figure but not its shape.

In a dilation with respect to the origin, a point (x, y) is transformed to a point (kx, ky) where k is a scale factor.

The transformation is given as

T<0, 1>D5

Mathematically, this

(x, y) = 5(x, y + 1)

So the image point is

(x, y) = 5(3, 3 + 1)

(x, y) = (15, 20)

So the image point of is (15, 20)

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