3. What is the surface area of the triangular prism shown below?

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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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:

213.75

Step-by-step explanation:

95×9=855

855÷4=213.75

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!

Replace x with -17 and solve:

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

answer: -117

Answer:

24square unit

Step-by-step explanation:

triangle area=1/2.b.h

=1/2.8.6=24

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:

Answer:  A. - 5/4

Step-by-step explanation:

m = y2-y1/x2-x1

m=3+2/1-5

m=5/-4

Answer: C

Step-by-step explanation:

See attached image.

Answer:

B. 150

Step-by-step explanation:

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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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.

Answer:

write your questions very well

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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Answer:

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

Answer:

c

Step-by-step explanation:

paralallegram can be anything  with parrell lines

Answer:

C

Step-by-step explanation:

A quadrilateral has rotational symmetry of order 2 and no line of symmetry.

A parallelogram has no lines of symmetry because it is impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other.

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:

14,820

Step-by-step explanation:

A year has 52 weeks. 285 x 52 = 14820

Answer:

$14820

Step-by-step explanation:

There are 52 weeks in a year. Therefore 285 x 52 = 14820

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:

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:

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

The number -108.8 is a rational number

The number is given as:

negative 108.8

Rewrite properly as:

-108.8

Rational number have terminating decimals, and they can be represented as fractions.

The fraction equivalent of -108.8 is -1088/10

Hence, the number -108.8 is a rational number

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