Assume f(x) = g(x). Which of the following pairsof functions may be used to represent theequation 3^x+^2 = 7x + 6?

Since BD bisects ABC, then angles ADB and BDC are congruent. Now that we have that both triangles ABD and CBD have the same two sides and angle, we have that they are congruent (because the side-angle-side postulate)

#6:

As it's a rhombus, the diagonal is a bisector, so:

med 2 = 27

med 3 = 27

and

med 5 = 27

med 4 = med 1

Also, the sum of interior angles of a triangle is 180 degrees. Then:

27 + 27 + med 1 = 180

med 1 = 126

med 4 = 126

The solution of the given equation are; (x + 8)(x − 9)

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We have been given the quadratic equation as;

x² − x − 72

Solving;

x² − (9-8)x − 72

x² − 9x +8x− 72

The factors are;

(x + 8)(x − 9)

Therefore, the solution of the given equation are; (x + 8)(x − 9)

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Answer:

Step-by-step explanation:

1. (16 · x) + 12 = 172

2. x= 172-12/16

3. x = 10

4. The number is 10.

You first draw two circles when different radii.

When you select two point over the circumference, and you connect a line in between these points and the center of the circle, you will always obtain two sides with the same length. It is because the length of these sides coincides witht the ratio of the circle.

Then, when you connect the points over the circumference between them, you have a side that can have a different length compared with the lengths of the lines connected to the center. Thus, you obtain an isosceles triangle; you have two sides with the same length (remember, it's the same as the radius) and one side with another length.

Given the expression:

We can find its solution by solving like a linear equation up until the exponent:

now, we can apply the square root on both sides to get the following:

therefore, the solutions of the equation are x=1.41 and x=-1.41

we are asked to determine the probability that a variable x is greater than 119.8. To do that we will assume a normal distribution of probability and use the following relationship:

To determine the probability that x is smaller than 119.8 we need first to find the z-score of the data set using the following formula:

Where

replacing we get:

Now we use this value to look into the chart for probabilities, we get 0.94408. This is the probability that x is smaller than 119.8. Replacing in the initial relationship we get:

Therefore, the probability is 5.6%.

Answer:

The measure of angle ABC is;

Explanation:

Given the triangle ABC.

Recall that the sum of angles in a triangle is 180 degrees;

solving for x, we have;

From the diagram,

Therefore, the measure of angle ABC is;

Remember that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$3,200

r=5 1/2 %=5.5%=0.055

t=6 years

n=2

substitute the given values

Find out the interest

I=A-P

I=4,431.31-3,200

Here, we want to select from the options, the two best statements that completes the steps

The two steps are;

Multiply the origi

Answer:

17/24

Explanation:

To add the fractions

we first find their common denominators.

The common multiple of 3 and 8 is 24 because 3 * 8 = 24; therefore,

Adding the numerators gives

Hence,

so the answer is option #1

When a positive number x is divided by 7, the remainder is 4. The remainder when x is divided by 4 is 7.

What is a remainder?

The quantity "leftover" after executing a computation in mathematics is referred to as the remainder. The remainder is the integer that remains after dividing two integers to get an integer quotient in mathematics.

The remainder operator (%) returns the amount of one argument that is left over after dividing it by another operand. For instance, when 41 is divided by 7, the remaining is 6 and the quotient is 5.

Solution Explained:

A/Q

x / 7 = 4

Solving this equation

x = 4 X 7 = 28

Now putting the value of x in the equation

x / 4

= 28 / 4 = 7

Therefore, the remainder when x is divided by 4 is 7.

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Tp fint the total area of the figure start by calculating the area of the square and the triangle separately.

Area of the square is calulated by mutiplying the side by the side

Area of the triangle follows the formula:

The base of the triangle is the same as the length of the square's side.

Add both sides to find the total area

If he spends 15 minutes on a single level, he loses his life.

He has already spent 10 minutes on the level he is playing now.

x = the number of minutes he can play without losing a life.

The inequalities that can be use to represent this scenario will be

Solve the given inequality as shown below

Therefore, any number equal to or greater than 5 is a solution to the given inequality.

The correct answers are 5, 6, and, 7.

Step 1: Write out the formula

By the intersecting secant theorem (interior),

Step 2: Write out the given values and substitute them into the formula

Therefore,

Hence, m<1 = 46 degrees

There can be infinite solutions for x and y, this is because if we look at the equation like a slope intercept equation

we can see that this is the equation for a straight line.

if we graph it

All values of x and y that are obtain by the line can be a solution to the equation given.

Remember that the equation of the line in slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this context

we have

C=mt+b

step 1

Find out the slope

we need two points

looking at the graph

we take (0,100) and (1,150)

so

m=(150-100)/(1-0)

m=50 --------> that means $50 per month (monthly fee to remain a member)

the y-intercept is the value of y when the value of x is zero

in this context, the y-intercept is the cost C when the value of t is zero

b=100 ------> that means a one-time fee to join

substitute

Answer:

C. -4 ± 2√6

Explanation:

The given equation is

3x² + 24x - 24 = 0

First, add 24 to both sides

3x² + 24x - 24 + 24 = 0 + 24

3x² + 24x = 24

And factorize 3 on the left side

3(x² + 8x) = 24

Then, to complete the square, we need to add and substract (b/2)² to the expression in parenthesis. In this case, b = 8, so

(b/2)² = (8/2)² = 4² = 16

Then, add and subtract 16 as follows

3(x² + 8x + 16 - 16) = 24

3(x² + 8x + 16) - 3(16) = 24

3(x² + 8x + 16) - 48 = 24

Finally, we can factorize and solve for x

3(x + 4)² - 48 = 24

3(x + 4)² - 48 + 48 = 24 + 48

3(x + 4)² = 72

3(x + 4)²/3 = 72/3

(x + 4)² = 24

Solving for x, we get

Therefore, the answer is

C. -4 ± 2√6

Given Data:

Ben earned $400 last month.

Since in the academic calendar the last month was July consisting of 31 days.

Therefore the amount earned per day can be calculated as

Now, He worked 3 days in the first week and 2 days in the second week.

So the total number of working days is 5.

Therefore the amount earned for 5 days will be

Therefore the amount for 6 days is approximate $65.

And Hence for each day it is $13.

The slope-intercept form is

→ y = m x + b

→ m is the slope

→ b is the y-intercept

∵ The given equation is

First, multiply the bracket (x + 9) by 1/3

Subtract 10 from both sides

The equation in the slope-intercept form is y = 1/3 x - 7

Given:

The total cost of espresso machine costs $46.95. and the tax rate is 4%.

To find:

Find the sales tax?

Explanation:

Solution:

We will start by converting sales tax percentage into a decimal by moving

the point two spaces to the left.

6%=0.06

Now, we need to multiply the pre-max cost of this item by this value

in order to calculate the sales tax cost

Round to two decimal places

Last, add this value of the pre-tax value of the item to find the total cost.

Hence, these are the required values.

Solution:

Given the equation;

SImplify:

Since the two sides of the equation are equal, d has infinitely many solutions.

These questions can have multiple answers

for instance,

a)

_+_=10.5

8.5 + 2 = 10.5

5.5 + 5 = 10.5

3.5 +7 = 10.5

5.25 + 5.25 = 10.5



b)

_-3.25 =_

7 - 3.25 = 3.75

7.25 - 3.25 = 4

10. 5 - 3.25 = 7.25

c)

if each _ have the same value

x + x = 10.5

2x= 10.5

x= 5.25

d)

if each _ have the same value

_-3.25 =_

x -3.25= x

x-x = 3.25

0= 3.25

In this case, each x cannot be the same, it would have to be a number that you subtract 3. 25 and it remains the same number. That is not possible.

but if i use x= 5.25

5.25- 3.25= 2

Answer

Step-by-step Explanation

In the expansion of variables in a bracket raised to a particular power, we either use the Binomial theorem or the Pascal's triangle.

The Binomial theorem teaches how to use permutaion and combination to obtain the coefficients of each term while the Pascal's triangle presents the coefficient of each term for different integer powers of the variables in a triangular form where the next line of the triangle can be obtained from the previous line just by starting with a 1 and adding two consecutive terms of that previous line and ending with 1.

The function in the graph is V shaped, this indicates that it corresponds to a function of an absolute value of x:

The V opens downwards, which means that the coefficient that multiplies the module (a) is negative:

→ This means rthat when we calculate the value of "a", this value has to be negative

As you can see in the graph, the vertex of the function is (0,3)

Following the vertex form:

Where xv represents the x-coordinate of the vertex and yv represents the y-coordinate of the vertex. Replace them in the formula and we get that:

Now all we need to do is determine the value of "a", for this we have to use one point of the function and replace it in the formula, this way "a" will be the only unknown.

Lets take for example one of the roots (points where the function crosses the x-axis)

Point (1, 0)→ replace it in the formula

Now that we know the value of a, we can determine the wquation of the function as