A line has a slope of -3 and passes through the point
passes through the point (-2, -3/2)
By substituting into the equation y = mx + b, find the value of b for this line

Answer:

4 years and 2 months

Step-by-step explanation:

Simple interest formula

A = P(1 + rt)

where:

Given:

Substitute the given values into the formula and solve for t:

[tex]\implies \sf 1000 = 500(1 + 0.24t)[/tex]

[tex]\implies \sf \dfrac{1000}{500}=(1 + 0.24t)[/tex]

[tex]\implies \sf 2=1 + 0.24t[/tex]

[tex]\implies \sf 1 = 0.24t[/tex]

[tex]\implies \sf t=\dfrac{1}{0.24}[/tex]

[tex]\implies \sf t=4 \frac{1}{6} \:years[/tex]

[tex]\implies \sf t=4\:years\:2\:months[/tex]

Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.

Answer:

3rd graph

Step-by-step explanation:

Since the inequality has a greater than symbol (>) and not a greater than or equal to symbol ([tex]\geq[/tex]), the graph will have a dotted line, meaning only the third and fourth graphs could be the one.

Since 2x+3y is GREATER THAN 6 and not LESS THAN 6, we know that the shaded part of the graph will be above (or more) than the line. Therefore, the third graph is the graph that represents the inequality.

The attached picture proves it :)

Hope this helps!

Answer:

213.75

Step-by-step explanation:

95×9=855

855÷4=213.75

Answer:

Step-by-step explanation:344x-5-p-0-9-but=pmc+m2 something like that

Answer:

A.

Step-by-step explanation:

1.5m + 6.5q > 100

✨♥️

Answer:

-4.25

Step-by-step explanation:

Replace x with -17 and solve:

7(-17) + 2 = -119 + 2 = -117

answer: -117

Answer:

The radius of the cup is 3.1 cm.

Step-by-step explanation:

First, we the volume of a right cylinder is [tex]V = πr^{2} h[/tex].

Now, using the information that was given to us, we can plug what we know into the equation: [tex]450=πr^{2}(15)[/tex].

From here, we simply solve for r by isolating it to find the radius. *Remember, what we do to one side we must do to the other.

Answer:

24square unit

Step-by-step explanation:

triangle area=1/2.b.h

=1/2.8.6=24

Part A

The reason why the (√(-x)) is not necessarily undefined, is because x is a placeholder, such that x can take on a negative value for which  (-x) is a positive number, therefore, √(-x) = √(+ve number) is a defined real number.

Part B

The domain is x ≤ 0

The range is f(x) ≥ 0

A real number is a value of a continuous quantity that can represent a distance along a line.

Here, The given and required information:

Given that √(-144) = Undefined, why is √(-x) not necessarily undefined

The given function, f(x) = √(-x)

Part A

The square root of a real number with a negative value is an imaginary number

The square root of a real number with a positive value or zero, is a real number

√(144) = ±12

A variable, x, is an input value of a function that is a quantity place holder in the function which is a function argument

The given function is f(x) = √(-x)

Where;

x = An argument of the function

When x ≤ 0, such that x is a negative real number or zero, we have;

x = R⁻ or 0

Therefore;

-x= -R⁻ or 0 = R⁺ or 0

-x = R⁺

From which we get;

f(-x)= √(-x) = √(R⁺) = Defined

f(-x) = √(R⁺) ≥ 0 The range of the function is f(x) ≥ 0

An example, when x = -16, we have;

-x = -(-16) = 16

√(-x) √(16) = 4 (Defined)

Part B;

Thee domain where the function is defined is where x = -R⁻,  x ≤ 0

The output of the function f(x) is defined which is the range = f(x) ≥ 0

Thus, the reason why the √(-x) is not  necessarily undefined, is because the value of x can represent a negative real number or zero.

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Answer:

If x is a negative number, then negative x is a positive number and the square root can be determined. Therefore, the domain of the function is x ≤ 0.  As a result, the range is never negative either, so it is y ≥0.

Step-by-step explanation:

answer on edge

Answer:

55.04 km

Step-by-step explanation:

17.2 cm / 5 cm = 3.44

16 km x 3.44 = 55.04 km

You could also solve in this fashion:

[tex]\frac{5}{16}[/tex] = [tex]\frac{17.2}{x}[/tex]

16 x 17.2 = 5x

Multiply 16 x 17.2 = 275.20

Divide the 275.20 by 5 = 55.04

Answer:

B. 150

Step-by-step explanation:

The complete question is

"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."

The correct option from the given function are A; f(x) has a greater slope.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

The slope of a function in the form of y = mx + C is m,

So the slope in the function

f(x)=4x+10

m = 4

Now when you have a function but you only have a table to evaluate it, to calculate the slope

(p, q) = (4, 7)

(x, y) = (6, 9)

This means that:

[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1[/tex]

Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,

Thus, f(x) has a greater slope than g(x).

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The simplified value of 12.4 x (negative 6.3) is -78.12

The expression is given as:

12.4 x (negative 6.3)

Rewrite properly as:

12.4 x (-6.3)

Evaluate the product using a calculator

-78.12

Hence, the simplified value of 12.4 x (negative 6.3) is -78.12

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

Explanation:

Points Q and R have the same y coordinate of 6.

This means they're on the same horizontal level and we can form a number line through these points. Think of Q and R being on the x axis.

Going from -4 to 8 is a distance of 12 units because either

-4-8 = -12 which flips to +12 or 12

8-(-4) = 8+4 = 12

Effectively I used absolute value for the first part to go from -12 to 12. Distance cannot be negative.

Alternatively, you can count out the number of horizontal spaces from -4 to 8 and you should count out 12 units.

--------------------------------

If you need to use the distance formula, then this is what the steps may look like:

[tex]Q = (x_1,y_1) = (-4,6) \text{ and } R = (x_2, y_2) = (8,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-8)^2 + (6-6)^2}\\\\d = \sqrt{(-12)^2 + (0)^2}\\\\d = \sqrt{144 + 0}\\\\d = \sqrt{144}\\\\d = 12\\\\[/tex]

In my opinion, the distance formula is overkill because we can simply apply subtraction or count out the number of spaces. It's up to you which you prefer you like better. Of course be sure to follow all instructions your teacher mentions.

If the two points weren't on the same horizontal level, then we would have no choice and have to use the distance formula. Or you could use the pythagorean theorem which is effectively what the distance formula is derived from.

By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising.

In this exercise, you're required to use an online tool to investigate and determine the cross-sections of three-dimensional objects such as pyramids, cylinders, cones, etc., by passing different planes through them.

By critically observing the cross-sections of the three-dimensional object I used, a cone is the cross-sectional shape I find most surprising because rotating the slice around Y produced a circular curve that transitioned into a parabolic curve.

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Add all the females together: 3 + 4 + 6 + 3 = 16

Female seniors = 3

Probability of picking a senior = 3/16 = 0.1875 x 100 = 18.75%

Rounded to the nearest whole number = 19%

Answer: 19%

The value of x the function when x = -7.5 is 34.5

Functions are written in terms of variables

Given the expression  –3.8x + 6, when the value of x is -7.5, hence;

f(x) =  –3.8x + 6

f(-7.5) = -3.8(-7.5) + 6

f(-7.5) = 28.5 + 6

f(-7.5) = 34.5

Hence the value of x the function when x = -7.5 is 34.5

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Answer:

y=-15x+100

Step-by-step explanation:

Answer:

Alice

Step-by-step explanation:

14$ the amount he had - X the amount he lost (the unknown) is what is described by Alice

One example of a system of equations that has infinite solutions is given by:

x + y = 2.

2x + 2y = 4.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

A system will have infinite solutions when the two equations are multiples, hence one example is given by:

x + y = 2.

2x + 2y = 4.

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Answer:

no

Step-by-step explanation:

using the Factor theorem.

If (x + h) is a factor of f(x) then f(- h) = 0

for factor (x + 3) then evaluate P(- 3)

P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72

since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)

Answer:

64in

Step-by-step explanation:

for a four sided figure, you do base x height. volume isn't squared in Math.

Answer:

No

Step-by-step explanation:

Use synthetic division

-5 | 1 -4  3   7

____-5 45 -240

     1 -9 48 | -233

Since the remainder is not 0, then x+5 is not a factor of the polynomial

Answer:

write your questions very well

Answer:

point B

Step-by-step explanation:

Answer:

It's Point B.

Go to 5 on the x-axis and then go up 3

The 5 is the x-axis and 3 is the y-axis

There are 1716 different combinations of the bags

The given parameters are:

Total, n = 13

Bags to select, r = 7

The number of combination is calculated using:

[tex]Total = ^{13}C_7[/tex]

Evaluate the combination expression

Total = 1716

Hence, there are 1716 different combinations

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Answer: 1716 different combinations of the bags

Step-by-step explanation:

The mathematical expression that Katherine requires to know the price of the objects that she is going to buy is 8 * ($20.75) + 120 * ($5/12) = $216

To find a mathematical expression for this procedure we must take into account the values that we know.

For example, we know that it requires 15 pansies for each tree. This can be expressed like this:

On the other hand, we must calculate the price of each tree and the pansies that are going to be used to surround each one as shown below.

According to the above, the final expression, in which all the necessary data for Katherine is included, is:

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Answer:

Answer From Edge 2023

Step-by-step explanation:

The total cost of the trees must be added to the total cost of the pansies. The tree cost is the cost of one tree times eight. The pansy cost is the cost for 15 pansies multiplied by 8 trees, then divided by the number of pansies in a pack: 20.75(8) + 2.50(15)(8) ÷ 6.