Solve |3x + 7 = 4x for x.A) Infinitely many solutionsB) 7 and -7C) No solutionOD) -7 or 1

Answer:

1

Step-by-step explanation:

when there is no number, they are always 1.

1 multiplied by itself is always 1, so 1/1 is 1.

Hope this helps!

btw, brainliest if correct, ty!

Answer/Step-by-step explanation:

Simplify

 x⁻⁵

-------

 y³

Since the x on top has a negative exponent it must go down to the denominator.

So the answer would be:

 1

-------

x⁵y³

I hope this helps!

Verify

REmember that the best deal is the deal with the less unit rate

so the order is

89 0z bottle is the best deal

64 oz cartoon

59 oz bottle

case of 24 10 oz bottles

10 oz bottle

therefore

Jason is not correct

on5x - 1 < 19

To solve this inequality add 1 to both sides

Now divide both sides by 5

The solutions lie in the area left to the number 4

For the second inequality

Add first we will add the like terms in the left side

Now add 2 for both sides

We need to divide both sides by -1, but we should reverse the sign of inequality

We reversed the sign of inequality when divides it by -ve number

Since 2 < 3

Then if we divide both sides by -1, then it will be

-2 < -3 which is wrong -2 greater than -3, then we should reverse the sign of inequality if we multiply or divide it by a negative number

Then the solutions of the 2nd inequality lie right to -3

Let us draw them

The red part is the solution to the 1st inequality

The blue par is the solution to the 2nd inequality

The area with the 2 colors is the area of the common solution of both inequalities

The Solution:

The given number is

Finding the best approximation for the above number, we have

Therefore, the best approximation of the given number is 7.3 (option 3)

When a number is raised to a power, it simply refers to the number of times that number is multiplied by itself.

Applying that logic here, 11 to the power of 2 is simply

and the answer is

Therefore, 11 to the power of 2 is 121.

Step-by-step explanation:

3x+4x-6=57

7x=63

x=9

AB=3x=3*9

AB=27

Answer:

Step-by-step explanation:

You want a sequence of transformations that maps ∆ABC to ∆A'B'C' where the vertices are A(-5, 3), B(-2, 3), C(-4, 1), A'(8, -2), B'(5, -2), and C'(7, 0).

Segment AB is a 3-unit line segment directed to the right. Segment A'B' is a 3-unit line segment directed to the left. This means there is no dilation involved in the transformation. At least, the figure has been reflected left-to-right.

Point C is below segment AB, while point C' is above segment A'B'. This means the figure has also been reflected top-to-bottom.

Together these reflections can be accomplished by either of reflection across the origin, or rotation 180° about the origin.

The reflected figure would leave A' at (5, -3). Its location at (8, -2) means the figure has also been translated to the right and up.

Translation to the right has been by 8 -5 = 3 units.

Translation up has been by -2 -(-3) = 1 unit.

Triangle ABC can be transformed to triangle A'B'C' by ...

The corresponding ordered-pair rules for these transformations are ...

__

Additional comment

The single transformation that will accomplish the mapping is ...

  (x, y) ⇒ (3 -x, 1 -y) . . . . . reflection across the point (3/2, 1/2)

Solution

For this case we need to take in count that in music 3/4 time can be grouped into 3 groups of 2 eight notes and then the answer for this case would be:

6/8

The correct option regarding the minimum height reached by the toy is:

A height of -1.76 inches at 5.647 seconds.

The function for the height of the toy in the spring after x seconds is modeled as follows:

y = -cos(x) + 2cos(x)sin(x)

It is a trigonometric function, hence there is no rule to find the minimum value of the function as there is for a quadratic function, for example.

Since there is no rule, we have to sketch the graph of the function in the given domain of 0 < x < 6.

Using a graphing calculator, the graph of the function is given at the end of the answer, with minimum point at (5.647, -1.76), hence the correct option is:

A height of -1.76 inches at 5.647 seconds.

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Given:

To find the values of x when f(x)=3, we apply below absolute rule:

If |u|=a, a>0 then, u=a or u= -a

Based on the above rule, our equations would be:

And,

Next, we find x for 1-7x/3=3:

Then, we find x for 1-7x/3=-3:

Therefore, the answer is A. The solution set is

Given:

The length of the base of the triangular base of the prism, b=7 in.

The altitude of the triangular base, l=5 in.

The height of the prism, h=13 in.

Now, the volume of the prism can be calculated as,

Therefore, the volume of the triangular prism is 227.5 cu. in.

We have

Initial mass of Polonium-210

Decay rate, r = 0.502% = 0.00502

Time, t = 190 days

Then, We know that left amount is given by

Solving

Answer: 3.853 micrograms

a) The Average Propensity to Consume (APC), rounded to three decimal places, is 0.916.

b) The Average Propensity to Save (APS), rounded to three decimal places, is 0.084.

c) The Marginal Propensity to Consume (MPC), rounded to three decimal places, is 0.820.

d) The Marginal Propensity to Save (MPS), rounded to three decimal places, is 0.180.

The average propensity to consume is the ratio of consumption expenditures to the total consumers' disposable income.

The average propensity to save is the inverse of the APC. It shows the rate of or total disposable income reserved instead of being consumed.

The marginal propensity to consume is the ratio of consumption based on additional income.

The marginal propensity to save is the inverse of the MPC, showing the percentage of the additional income saved instead of being consumed.

APC = 91.6%

= 0.916

APS = 1 - APC

= 0.084 (1 - 0.916)

MPC = 82%

= 0.820

MPS = 1 - MPC

= 0.180 (1 - 0.820)

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The investment you make into a start-up company is also known as Venture capital.

Answer: Venture capital

Answer:

use ASA

Step-by-step explanation:

since D=B, AB║CD

angle DEC=AEB (vertical angles)

AE=EC (given)

According to the secant-tangent theorem, we have the following expression:

Now, we solve for x.

Then, we use the quadratic formula:

Where a = 1, b = 6, and c = -315.

First, let's write the data set in crescent order:

The mean is given by the sum of all values divided by the number of values:

The median is given by the central value of the set in crescent order. Since this set has 13 values, the median is the 7th value:

The mode is the value that repeats the most. Looking at the set, the value that repeats the most (three times) is 50, so the mode is 50.

As you can see, both variables are directly proportional.

Thus, the given line should have the form:

Where k is the proportionality constant.

To find the number of gallons of gas needed to drive 120 miles, we should find k first.

Notice that we need 1 gallon of gas to drive 25 miles and 2 gallons of gas to drive 50 miles. The rate of change (k) between these variables is:

This means that it takes 25 gallons to drive each mile.

Now, we could replace:

Therefore, Justin needs 4.8 gallons to drive 120 miles.

The expression that can be said to as equal to log(xy / z) is the expression logx + logy - logz and this can be found out through the logarithmic identities.

The “basic” logarithmic function can be seen as the the function, y=logbx, where x, b>0 and b≠1.

In the kind of complex analysis that we come across three types of logarithms namely ln, log and Log are used.

In mathematics log tends to always mean the natural log.

Log is often seen as the main and principal branch that comes under the complex logarithm.

Logarithmic functions are said as important only largely because of their relationship to the kind of exponential functions. Logarithms can also be used to solve any kind of exponential equations and thus help to explore the properties of exponential functions.

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First, simplify the expression:

Then:

To find the zero of the given expression, find the zero of -9x+30:

Therefore, the zero of the given expression is 10/3.

If j(x) = 4^(x - 2), the solving the given expression [j(x + h) - j(x)]/h gives;

[j(x + h) - j(x)]/h = (4^(x - 2))(4^(h) - 1)]/h

We are given the function as;

j(x) = 4^(x - 2)

Now, we want to solve the expression;

[j(x + h) - j(x)]/h

This gives us;

j(x + h) = 4^(x - 2 + h)

Thus, our expression is now;

[j(x + h) - j(x)]/h = [4^(x - 2 + h) - 4^(x - 2)]/h

Now, according to laws of exponents, we know that;

y³ × y² = y³ ⁺ ²

Thus;

4^(x - 2 + h) = 4^(x - 2) × 4^h

Therefore;

[4^(x - 2 + h) - 4^(x - 2)]/h = (4^(x - 2))(4^(h) - 1)]/h

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The width of the smaller rectangle is 4 inches.

A rectangle has four sides, but because the sides are paired, it only has two distinct dimensions. The width is traditionally the shortest of these two dimensions, but when the rectangle is shown lying on its side, the horizontal side is commonly referred to as the width.

Given:

The dimensions of the smaller rectangle are:

Length = 8 inches

Width = x inches

The dimensions of the larger rectangle are:

Length = 10 inches

Width = 5 inches

Using proportion we determine the value of x,

[tex]\frac{8}{x} = \frac{10}{5}[/tex]

Cross-multiply the terms,

8 × 5 = 10x

x = 40/10 = 4

Therefore, the width of the smaller rectangle is 4 inches.

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The correct options regarding whether the graph can represent a normal curve are given as follows:

The characteristics of a normal curve are defined as follows:

In the context of this problem, these two first options are satisfied. However, the distribution contains negative values, meaning that the graph is not always greater or equal to zero.

Hence, options C and D are correct.

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Explanation

the origins mean the center of the cartessian plane, it is the point with coordinate

Answer:

the origin is located at the intersection of the vertical and horizontal axes and the distance to all can be measured from this point..(0,0)

The Ratio of the boy's allowance to his sister's is 5 : 4.

The new Ratio is 1 : 10000.

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;

Given the question, we need to know that a standard deck contains 52 cards out of which there are 4 cards showing nine.

To get the probability of randomly drawing a nine will be:

Hence, the probability of drawing nine is 1/13

Step 1

Given;

Step 2

Two angles are called supplementary when their measures add up to 180 degrees.

Two angles are called complementary when their measures add to 90 degrees.

The two angles are said to be adjacent angles when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be complementary angles or supplementary angles when they share the common vertex and side.

Answer;

Two angles are called supplementary when their measures add up to 180 degrees.

Two angles are called complementary when their measures add to 90 degrees.

The two angles are said to be adjacent angles when they share the common vertex and side.

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

In this case, the line passes through the points (1,5) and (9,8)​, then its slope is:

Jason, this is the solution:

Walter's daily wage = $ 50

Tips = 15% of the total cost of the dinner he serves

Tuesday earnings = $ 170

Therefore,

Tips = 170 - 50

Tips = 120

For finding the cost of the dinners, we use Direct Rule of Three, as follows:

Percentage Cost

15 120

100 x

_____________________

120 * 100 = 15 * x

12,000 = 15x

Dividing by 15 at both sides:

15x/15 = 12,000/15

x = 800

The total cost of the dinners Walter serverd on Tuesday was $ 800