Solve 7x2(x + 1) = 6x + 14
Ox=-12
Ox = 12
Ox= -16
Ox = 16

Answer:

3

Step-by-step explanation:

whenever solving for x, you have to work backwards…like so:
3 squared is 9

27 divided by nine is 3

x=3

To double check the answer, substitute the value that we just found into x

(3x3)x3=27

Answer:

[tex]x=\dfrac{3}{2}[/tex]

Step-by-step explanation:

Given equation:

[tex]3^{2x}=27[/tex]

Rewrite 27 in exponential form with base 3:

[tex]\implies 3^{2x}=3^3[/tex]

As both exponents have the same base,

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x)[/tex]

[tex]\implies 2x=3[/tex]

Divide both sides by 2:

[tex]\implies x=\dfrac{3}{2}[/tex]

Answer:

A. four floors above the ground floor

Step-by-step explanation:

if you start at 0 which is the ground floor and go up 4, that would be +4, since, in theory, going up would be considered positive. So the answer is A.

Answer:

See below

Step-by-step explanation:

Look at it from the front and the side as shown in the diagram and draw what you would  see:

The amount that's was attributed to the project from the start based on the percentage is $7,500,000.

From the information given, the remaining percentage will be:

= 100% - (25% + 20% + 35%)

= 100% - 80%

= 20%

Let the total amount be x.

Therefore, 20% of x = 1,500,000

0.2x = 1,500,000

x = 1500000/0.2

x = 7500000

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Answer:

volume = 15 cm^3

Step-by-step explanation:

Volume of pyramid = 1/3  base area * height

                                = 1/3 ( 3 x 3 ) * 5 = 15 cm^3

Applying the distributive property, we would simplify the expression as: 5f + 16f = (5 + 16)f = 21f.

The distributive property states that, ab + ac = (b + c)a.

Using the distributive property, we have:

5f + 16f

= (5 + 16)f

= 21f

Therefore, 5f + 16f is simplified as 21f.

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Answer:

2y>-y+5

Step-by-step explanation:

because it has a eligible number at the right hand side

Answer:

6  1/12 miles total

Step-by-step explanation:

3 1/4 = 13/4

2 5/6 = 17/6        to ADD fractions, you must have a common denominator

                              I will use 12   for these

13/4 = 39/12

17/6 = 34 /12

now you can add and simplify     39/12 + 34/12 = 73/12 = 6 1/12  miles

We have this equation:

[tex]\log(x) + \log(x + 99) = 2[/tex]

First, combine both logarithms using the multiplication property and simplify the expression.

[tex]\log[x(x + 99)] = 2[/tex]

[tex]\log[ {x}^{2} + 99x ] = 2[/tex]

Now, use the definition of logarithm to transform the equation.

[tex] {10}^{2} = {x}^{2} + 99x[/tex]

[tex] {x}^{2} + 99x - 100 = 0[/tex]

Finally, use the quadratic formula to solve the equation.

[tex]x = \frac{ -99 ± \sqrt{ {99}^{2} - 4 \times 1 \times ( - 100)} }{2 \times 1} [/tex]

With this, we can say that the solution set is:

We cannot choose x = -100 as a solution because we cannot have a negative logarithm. The only solution is x = 1.

The answer is Point B.

The probability that the market will go up and interest rate will go down during the period in question is 0.03.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the market will go up and interest rate will go down  = 0.08 X 0.40 = 0.03

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The area of the exposed surface is 442 square feet

A right square pyramid is a polyhedron with 5 faces consisting of four triangles and a square base.

Analysis:

The exposed surface is the area of the four triangles.

The perpendicular height of the triangles is same and it is the slant length of the shape = 17ft

Area of 4 triangles = 1/2 bh = 1/2 x 17 x 13 x 4 = 442 square feet.

In conclusion, area of exposed surface is 442 square feet.

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Answer:

 (3x + 3) (9x + 7) is the duplicate ratio of 3:5 . the value of x is 2.

Answer:

SI =PXRXT/100

Step-by-step explanation:

THIS WOULD HELP YOU

Hello,

Step-by-step explanation:

[tex]f(x) = ln(x) {}^{4} [/tex]

[tex](ln(u)') = \frac{u'}{u} [/tex]

[tex]f'(x) = \frac{4ln {}^{} (x) {}^{3} }{x} [/tex]

[tex]f'(10) = \frac{4ln {}^{} (10) {}^{3} }{10} = \frac{12ln(x)}{x} [/tex]

[tex]f(10) = ln(10) {}^{4} [/tex]

[tex]y = \frac{12ln(x)}{x} (x - 10) + 4ln(10)[/tex]

[tex]y = f'(a)(x - a) + f(a)[/tex]

Answer:

[tex] y = -\dfrac{1}{2} [/tex]

Step-by-step explanation:

I assume that y - 1 is an exponent, and the equation is

[tex] 125 = (\dfrac{1}{25})^{y - 1} [/tex]

[tex] 5^3 = (5^{-2})^{y - 1} [/tex]

[tex] 5^3 = 5^{-2y + 2} [/tex]

[tex] -2y + 2 = 3 [/tex]

[tex] -2y = 1 [/tex]

[tex] y = -\dfrac{1}{2} [/tex]

Answer:

Positive number are located above 0 and negative numbers are located below 0 on a vertical number line

Answer:

On a horizontal number line, positive numbers are down from ANS= 0 to the left of 0✔ to the right of 0X up from 0.On a vertical number line, negative numbers are ✔ ANS=down from 0 to the left of 0to the right of 0up from 0.The number 0 is a negative numbera positive number✔Ans= neither positive nor negative.

Step-by-step explanation:

yw

The solution to this is 6.62607e-34.

We have the value is raised to the power of -34

We have to solve this using a calculator

This is similar to

[tex]6.62607004081818181818181*\frac{1}{10000000000000000000000000000000000}[/tex]

The number of zeros are 34

We would have  6.62607e-34 as the final solution.

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The attached graph represents the image of the triangles

To do this, we make use of the following coordinates

A = (1, 0)

B = (5, 0)

C = (1, 6)

The lengths of the triangle are calculated using

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(1-5)^2 + (0 -0)^2} = 4[/tex]

[tex]BC = \sqrt{(1-5)^2 + (6 -0)^2} = 7.2[/tex]

[tex]AC = \sqrt{(1-1)^2 + (6 -0)^2} = 5[/tex]

Using the scale factor of 2, we have the image of the dilation to be:

D = (2, 0)

E = (10, 0)

F = (2, 12)

The lengths of these sides are

DE = 8

EF = 14.4

DF = 10

See attachment for the image of the triangles ABC and DEF

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Answer:

d

Step-by-step explanation:

it's kinda hard to explain

The end behavior of the function is as:

as [tex]x[/tex]→∞, f(x)→+∞ and as x→-∞, f(x)→+∞

The end behavior of a function will describe the behavior of the graph of the function at the "ends" of the x-axis.

By determining the highest degree of the polynomial function. As the highest degree term will grow faster than the other terms as x gets very large or very small, its behavior will dominate the graph.

The graph of the function is f(x)=2∛x

the function leads to infinity so the end behavior of the function is

as [tex]x[/tex]→∞, f(x)→+∞ and as x→-∞, f(x)→+∞

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Answer:

2x² - 12x + 13

Step-by-step explanation:

Given following:

Start solving from right to left across the function.

Steps:

Answer:

2x² - 12x + 13

Step-by-step explanation:

Steps:

k[p(x)]

k[x - 3]

2(x - 3)² - 5

2(x² - 6x + 9) - 5

2x² - 12x + 18 - 5

2x² - 12x + 13             pls brainlest

Answer:

12

Step-by-step explanation:

LCD of 1/4 and 1/6 is the least common denominator that is divisible by 4 and 6 at the same time and is the least.

So it the same to find least common multiple of 4 and 6 that is 12.

The answer is 12.

Answer:

2 seconds

Step-by-step explanation:

To find the time it takes for the balloon to reach the ground, you need to set the equation equal to 0. This is because the ground technically has a height of 0.

h(t) = -16² + 128t                         <----- Original expression

0 = -16² + 128t                            <----- Plug 0 in for h(t)

16² = 128t                                    <----- Add 16² to both sides

256 = 128t                                  <----- Solve 16²

2 = t                                            <----- Divide both sides by 128

Therefore, if t = 2, it will take the balloon 2 seconds to reach the ground.

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

Explanation:

The balloon is on the ground when the height is zero.

Replace h with 0 and solve for t.

[tex]h(t) = -16t^2 + 128t\\\\0 = -16t^2 + 128t\\\\-16t^2 + 128t = 0\\\\-16t(t - 8) = 0\\\\-16t = 0 \ \text{ or } \ t-8 = 0\\\\t = 0/(-16) \ \text{ or } \ t = 0+8\\\\t = 0 \ \text{ or } \ t = 8\\\\[/tex]

Ignore t = 0 because this is when the balloon is initially on the ground. In other words, the balloon starts on the ground, so it makes sense that t = 0 leads to h = 0.

The other solution t = 8 is what we're after. The balloon touches the ground again at the 8 second mark. This is the length of time the balloon is in the air.

A quick way to determine and confirm the answer is to use graphing software. Check out the diagram below. We have a parabola with x intercepts of 0 and 8.

Answer:

a the assumption is that after the 60% discount, the 20% will contribute to the old price, not the adjusted price

b this is incorrect because the 20% discount will be added on after the 60% discount has been used

c the 500 dollars would turn to 100 dollars

d 40

e it would be best to first apply the 60% coupon first over the 20% coupon

Based on the perimeter of the rectangle, and the adjustments to make the plot a square, the sides are 13m and 19m.

The perimeter is:

2(L + W) = 64

L + W = 32

The adjustment to make the plot a square would mean that both sides can be equal:

L + 3 = W - 3

L = W - 6

Substituting in the original formula gives:

L + W = 32

W - 6 + W = 32

2W = 38

W = 19 m

L would be:

L + W = 32

L + 19 = 32

L = 13m

The rest of the question is:

No obstante, para que los terrenos puedan ser cuadrados, se tendría que aumentar el ancho en 3 m y disminuir 3 m de largo. Entonces, ¿cuánto mediría el ancho y el largo del terreno rectangular?

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First, let's complete the angles in the triangle. Remember that the sum of the angles in a triangle is 180 degrees.

73 + 90 + x = 180

163 + x = 180

x = 17

So, the angle that completes the triangle is 17 degrees. If we look at that angle in the triangle and the one adjacent to it, we can see that those two angles form a linear pair (or are supplementary, both meaning that they add up to 180 degrees).

17 + x = 180

x = 163

So, 17's supplement is 163 degrees. The 163 degree angle corresponds with angle r, and corresponding angles are congruent.

Therefore, angle r is 163 degrees. The correct answer is option C.

Hope this helps!

Answer:

0

Step-by-step explanation:

numerator are the same the difference between same number or variable will be zero

Using the scale ratio, the length of the dress is: 6 ft.

Given a scale for the dress pattern as, 2 inches : 1 foot, it means 2 inches of the model equals 1 foot of the actual dress.

Therefore, using the scale ratio, let x represent the length of the dress. We would have:

2/1 = 12/x

x = (12 × 1)/2

x = 6 ft.

The length of the dress is: 6 ft.

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