if 500(.85)^x = 30(1.15)^x what is X​

Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x +

Answer:

Step-by-step explanation:

D or 121  got it right on edgenuty

Using the scale factor, the volume of the larger similar shaped box is 497.6in³.

A scale factor is simply the ratio of the corresponding sides of two similar objects. A scale factor of 4 simply means that the new shape is multiply four times the size of the original shape.

Given the data in the question;

Since scale factor of 4 means that the new shape is multiply four times the size of the original shape.

Volume of the larger box V = V° × SF

V = 124.4in³ × 4

V = 497.6in³

Therefore, using the scale factor, the volume of the larger similar shaped box is 497.6in³.

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Answer

y = x + 2

hope this helped

lol

The equation represents the cost (in dollars) and shipping a package that weighs x pounds is y = 2(x - 1) + 6.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.

Let x be the number of pounds and y be the total cost, then we have

y = 2(x - 1) + 6

This is the required equation that describes the condition.

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Answer:

Its A on edge, f(x)=6+2[x-1]

Step-by-step explanation:

, where x > 0

Answer:

A

Step-by-step explanation:

To show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have two circles:

Circle A has a center of (2, 3) and a radius of 5

Circle B has a center of (1, 4) and a radius of 10

The standard circle's equation can be written as:

(x - h)² + (y - k)² = r²

The equation for circle A:

(x - 2)² + (y - 3)² = 5²

The equation for circle B:

(x - 1)² + (y - 4)² = 10²

To show that circle A is similar to circle B:

It is required to perform the geometric transformation:

Dilate circle A by a scale factor of 2.

The radius of circle A is 5 units and after dilation by a scale factor of 2, the radius of the circle becomes 10 which is the radius of circle B.

Thus, to show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.

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#SPJ5

Answer:

18

Step-by-step explanation:

Answer:

Borrowings = $0.10 Billion

Owner's Equity = $0.40 Billion

Step-by-step explanation:

Total liabilities = deposits + borrowings

Borrowings = total liabilities - deposits

Borrowings in 2017 = $14.60 - 11.90 = $2.70 billion

Borrowings in 2018 = $14.80 - $12.20 = $2.60 billion

Borrowings from 2017-2018= 2.60 - 2.70 = $0.10 billion

Owner's Equity= total assets - total liabilities

Owner’s equity in 2017 = $16.2 - $14.6 = $1.6 billion

Owner’s equity in 2018 = $16.8 - $14.8 = $2 billion

Owner's Equity from 2017-2018= 2 - 1.6 = $0.4 billion

Hope this helps!

The Owner's Equity for commercial banks in  2017-2018 is $0.4 billion.

The given is,

Borrowings = $0.10 Billion

Owner's Equity = $0.40 Billion

Total liabilities = deposits + borrowings

So we have Borrowings = total liabilities - deposits

Borrowings in 2017

= $14.60 - 11.90

= $2.70 billion

Borrowings in 2018

= $14.80 - $12.20

= $2.60 billion

Borrowings from 2017-2018

= 2.60 - 2.70

= $0.10 billion

Owner's Equity= total assets - total liabilities

Owner’s equity in 2017

= $16.2 - $14.6

= $1.6 billion

Owner’s equity in 2018

= $16.8 - $14.8

= $2 billion

Owner's Equity from 2017-2018

= 2 - 1.6

= $0.4 billion

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Answer:

health class

Step-by-step explanation:

when the mean absolute deviation (M.A.D) is lower, that means the data is closer together. When it is higher that means the data is more spread out.

Answer:

its health

Step-by-step explanation:

i took the k12 test and got it wrong and it showed this one was correct

Answer:$22.95

Step-by-step explanation: The original price is 51%

Discount is 55% of $51= 55/100×51=$28.05

Deduct the discount from the original price. $51-$28.05=$22.95

Answer:

X = 7.8

Step-by-step explanation:

First I will mark all the Information given to us:

Angle 1: 52 Degrees

Angle 2: 90 (Marked by the box) Degrees

Angle 3: 180-(90+52) Triangle Angle Sum Therom

Simplified Angle 3: 38 Degrees

Height: 10

Base: X
Hypo: ? (we will call this y)

In order to solve this problem we must use basic trig functions such as sin, cos and tan.

I will be applying sin for the degree measure of 52 as it is applicable there.

(Sin for refrence sin(angle measure)= side opposite to angle/hypo)

So this would be in our case:

Sin(52)=10/y

Simplify

y sin(52) = 10

y = 10/sin(52) (use a calculator make sure sin is in degrees not radians)

y=10/0.78801

y=12.69018 (We have our hypo value)

We can now apply a²+b²=c²

a²+10²=12.69018²

a²+100=161.040668432 (Calculator)

a²=61.040668432

a=√61.040668432 (calculator)

a=7.81285277168

Rounded to the nearest tenth

7.8 =a=x (X is the a value in this equation)

Answer:

[tex](xy)^{7}[/tex]

 ↓

[tex]x^{7} y^{7}[/tex]

So the answer is [tex]x^{7} y^{7}[/tex].

Answer:

-24, -21, -19, -19, -19, -14, -13, -12, -7, -3, 2, 5, 6, 11, 11, 15

Step-by-step explanation:

Hey there!

To put the numbers in least to greatest form, you need to put the biggest numbers with a - sign in front of it

This means negative

Negative means below zero

Then after putting the big negative numbers, you put positive numbers going from smallest to largest

So the numbers in least to greatest is -24, -21, -19, -19, -19, -14, -13, -12, -7, -3, 2, 5, 6, 11, 11, 15

Answer:

  E.  x = 3

Step-by-step explanation:

The equation can be factored by considering the factors of the product of the first and last coefficients. Those factors must have a sum equal to the middle coefficient.

  (2)(-3) = -6 = (-6)(1) = (-3)(2) = ... other factors with positive sums

The sums of the factor pairs shown are -5 and -1. We're interested in the factor pair {-6, 1}. Replacing the middle term coefficient with the sum of these, we can write the equation in a way that lets us factor pairs of terms.

  2x² -6x +x -3 = 0 . . . . . . . . replace -5x with -6x+1x

  2x(x -3) +1(x -3) = 0 . . . . . . factor pairs of terms

  (2x +1)(x -3) = 0 . . . . . . . . . complete the factoring

Solutions are the values of x that make these factors zero:

  2x +1 = 0   ⇒   x = -1/2

  x -3 = 0   ⇒   x = 3

_____

Additional comment

A number of methods are used to find the factors of a quadratic with a leading coefficient other than 1. When the coefficients are small integers, this is one of the more straightforward methods: actually listing and examining the pairs of factors of "ac." If "ac" has a large number of divisors, other methods may be more practical.

Answer:

x = 3  AND  x = -1/2

Step-by-step explanation:

its right

The cost of one taco is $2, while the cost of one fountain drink is $3.

2t + 3f = $13 equation 1

4t + 2f = $14 equation 2

Where:

Multiply equation 1 by 2:

4t + 6f = 26 equation 3

Subreact equation 2 from equation 3

4f = 12

Divide both sides by 4

f = 12 / 4

f = $3

Subsistute for f in equation 1

2(t) + (3 x 3) = $13

2t + 9 = 13

2t = 13 - 9

2t = 4

t = 4/2

t = $2

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Answer:

X = 3

Step-by-step explanation:

(4x-6)+(4x-6)+12+12=36

Answer:

63.25

Step-by-step:

39.25 + 24 = 63.25 ft squared

Answer:

Step-by-step explanation:Does anyone know what this would be?

Answer:

575 mph

Step-by-step explanation:

The plane is traveling at 575 mph.

1725/3

575

Answer:

6

Step-by-step explanation:

pemdas=parenthesis, exponents, multiplication, division, addition, subtraction. with this, we multiply 2 x the absolute value of -3, which is just 3. therefore, 6. now we see we need to subtract the absolute value of 6 from the absolute value of 8, which gives us 2. and 2+4 is 6.

Answer: 6

Step-by-step explanation:

8-2 x 3+4

2x3=6

8-6+4

2+4

=6

hope this helps

Answer:

ACD and DCB are supplementary and others are correctly chosen ...

Answer:

88

Step-by-step explanation:

Answer:

8(4+7)

Step-by-step explanation:

The GCF of 32 and 56 is 8. Then you divide by 8.

Answer:

nothing much just got home

y = 0.6x + 3

To determine the equation of the line, we need to determine the slope and the y-intercept. Then, we will substitute the slope and the y-intercept in the slope intercept form equation to obtain the equation in slope intercept form.

Two points that lie on line: (0, 3) and (-5, 0)

[tex]\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

[tex]\implies \text{Slope} = \dfrac{3 - 0 }{0- (-5)}\\[/tex]

[tex]\implies \text{Slope} = \dfrac{3 }{0+5}\\[/tex]

[tex]\implies \text{Slope} = \dfrac{3 }{5} = 0.6[/tex]

[tex]\implies \text{Intersection of line on y-axis: 3}[/tex]

[tex]\implies \text{y-intercept: 3}[/tex]

Slope intercept form:

[Where "m" is the slope and "b" is the y-intercept]

Substitute the slope (m) and the y-intercept (b) in the formula;

[tex]\implies \text{Slope intercept form: y = (m)x + (b)}[/tex]

[tex]\implies \text{Equation of line in slope intercept form: y = (0.6)x + (3)}[/tex]

Open the parenthesis in the equation;

[tex]\implies\text{Equation of line in slope intercept form: \boxed{\text{y = 0.6x + 3}}}[/tex]

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If the angles of measures of angles X, Y, and Z are neither law of sine and cosine can be used to solve the triangle.

The law of cosines can be used to determine the measures of the triangle if the angles are known. The law is given by:

a² = b² + c² - 2bc*cosA

a,b,c are the sides and A, B, C are the angles.

The law of sines are used to determine the measures of the triangle if the angles are known. The law is given by:

a/sinA = b/sinB = c/sinC

If the angles of measures of angles X, Y, and Z are neither law of sine and cosine can be used to solve the triangle.

Find out more on cosines and sines at: https://brainly.com/question/25830682

[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]

The months where the difference in salinity of surface and bottom waters was the greatest was in April and September.

It should be noted that salinity simply means the accumulation of salt in land as well as water.

In this case, the months where the difference in salinity of surface and bottom waters was the greatest was in April and September.

This is because many events take place such as continuous flowing or river water into the sea, evaporation, and melting of ice.

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The series of questions is based on the entire concept of chemical equations. This is shown by balanced reaction equations.

A reaction equation shows the reactants and the products in a reaction. We shall now answer the questions individually;

1) The reactants in this equation are CaO and CO2. The product is CaCO3.

2) The simplest molecule that is formed between carbon and hydrogen is CH4 with the structure shown in the image attached.

3) The balanced equations are;

a) Na3PO4 + 3HCl -----> H3PO4 + 3NaCl

b) 2KClO3 → 2KCl  + 3O2

4)

a. 2NaBr + Ca  ----->CaBr2 + 2Na

b. 2Mg + O2  ------->2MgO

5) 3H2SO4 + 2Al -------> Al2(SO4)3 + 3H2

6) CH4 + 202 ---->CO2 + 2H2O

7)

a. molar mass of sucrose = 12(12) + 22(1) + 11(16) = 144 + 22 + 176 = 342 g/mol

b. molar mass of glucose = 6(12) + 12(1) + 6(16) = 72 + 12 + 96 = 180 g/mol

c. There are 6 * 10^23 molecules 1 mole of sucrose

d.  There are 6 * 10^23 atoms 1 mole of sucrose

8) The equation of the reaction is; NaHCO3 + HC2H3O2 → NaC2H3O2 + H2O + CO2

Number of moles of baking soda= 42.00 g/84 g/mol = 0.5 moles

Since  the reaction is 1:1, 0.5 moles of CO2 is formed.

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Answer:

The Answer is 96 units squared

Step-by-step explanation:

First, you find the area of all the sides:

Triangle 1: 6

Triangle 2: 6

Rectangle 1: 21

Rectangle 2: 28

Rectangle 3: 35

Then you add all of the numbers together.

6+6+21+28+35 = 96 units squared

I hope this helps :)