(-10, -3), (7,4) and (-1,7)
Find the perimeter of the triangle whose vertices are the following specified points in the plane.

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:  No

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Work Shown:

(5 altos)/(4 sopranos) = (15 altos)/(13 sopranos)

5/4 = 15/13

13*5 = 4*15 .... cross multiply

65 = 60

The last equation is false, so the first equation is false

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

Alternative ratio

(5 altos)/(15 altos) = (4 sopranos)/(13 sopranos)

5/15 = 4/13

5*13 = 15*4

65 = 60

We end up with the same false equation

The given values are not in the same proportion.

The ratios are not equivalent.

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

Yet another way to look at it

Note the jump from 5 altos to 15 altos is "times 3"

So if we started with 4 sopranos, then we must have 4*3 = 12 sopranos as our next count.

If the second line changed "13 sopranos" to "12 sopranos", then we would have equivalent ratios.

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

Part 1: To find Zach's gross income, we need to add up all of his sources of income. Zach had a salary of $75,000 last year, and he received $4,500 in interest income from a CD, so his gross income is $75,000 + $4,500 = $79,500.

Part 2: To find Zach's Adjusted Gross Income (AGI), we need to subtract any adjustments from Zach's gross income. Zach contributed $4,000 to an IRA and had moving expenses of $5,000, so his total adjustments are $4,000 + $5,000 = $9,000. Subtracting these adjustments from Zach's gross income, we get AGI = $79,500 - $9,000 = $70,500.

Part 3: To find Zach's taxable income, we need to subtract Zach's standard deduction and exemption amount from his AGI. Zach is an unmarried man with no dependents, so he is allowed one exemption of $3,650. His standard deduction as a single person is $5,700. Subtracting these amounts from Zach's AGI, we get taxable income = $70,500 - $3,650 - $5,700 = $61,150.

Therefore, Zach's gross income was $79,500, his AGI was $70,500, and his taxable income was $61,150.

The length of side AB of this rectangle is = 5 units

what is rectangle ?

A shape with four straight sides and four angles of 90 degrees ( right angle ) . two of the sides are longer than the other two . a rectangle with four sides of equal length is square .

we could use distance formula to find the length

A (-8,-6) ; B (3 , -6 )

distance =(( X2 - X1 )^2 +( Y2 - Y1 ) ^2 ) ^1/2

AB = (( -3+8)^2+(-6-[-6]^2)^1/2

AB= 5^2

AB = 5  units .

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The mistake made by the student was using the composition f ° g(x) instead of g ° f(x). The correct form is g( f(0)) = - 9 / 2.

In this question we find two functions, with which we should perform an operation known as composition. Composition consists in substituting the input of a function by the other function. The operation is defined by the following expression:

f ° g (x) = f [g (x)]

Herein we must determine the mistake done by the student on the composition. If we know that f(x) = (3 · x - 7) / 4, g(x) = 2 · x - 1 and x = 0, then the value of g(f (0)) is:

g ° f (x) = g (f (x))

g ° f (x) = 2 · [(3 · x - 7) / 4]  - 1

g ° f (x) = (3 · x - 7) / 2 - 1

g ° f(x) = (3 / 2) · x - 7 / 2 - 1

g ° f(x) = (3 / 2) · x - 9 / 2

g ° f(0) = (3 / 2) · 0 - 9 / 2

g ° f(0) = - 9 / 2

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Answer:

69.04

Step-by-step explanation:

Given that:

Mean (m) = 69.0

Standard deviation (s) = 2.8

Zscore = 0.2

Find the corresponding height (x) ;

Using the relation :

Zscore = (x - m) / s

0.2 = (x - 69.0) / 0.2

0.04 = x - 69.0

0.04 + 69.0 = x

69.04 = x

Hence, the height of a man with a Zscore of 0.2 is 69.04

Answer: lol she was lowkey trying to call out the lady in front of you without directly addressing her. Or she was just trying to mess with you cuz that's how moms are

Step-by-step explanation:

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

The complete pattern will be;

⇒ 1, 5, 9, 13, 17

A process of combining or adding two or more numbers is called addition.

Given that;

The pattern is,

⇒ 1,__, 9, 13, __

Now,

Since, The pattern is,

⇒ 1,__, 9, 13, __

So, By adding 4 in previous number, we get the next number.

Hence, We get;

⇒ Second term = 1 + 4 = 5

⇒ Fifth term = 13 + 4 = 17

Thus, The pattern is,

⇒ 1, 5, 9, 13, 17

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forth term in a sequence =9

domain=set of all natural number

(4,9) lies in a graph

Answer:

Solution given:

–3, 5, –7, 9, –11, …are in a sequence

domain=set of all natural number.

forth term in a sequence =9

(4,9) lies in a graph.

and

f(5)=2

f(4)=9

Hence

The domain is set of inetegers Z .as -3 is not N set member .

The sequence has infinite terms

B and D are correct

Answer:

$33

Step-by-step explanation:

Let the amount of money Corey has be $x.

Amount of money Bryce have= $(x +16)

Total amount= $50

$x +$(x +16)= $50

2x +16= 50

2x= 50 -16

2x= 34

Divide both sides by 2:

x= 34 ÷2

x= 17

Amount of money Bryce have

= $(17 +16)

= $33

Answer:

2x^3+x^2-23x-4

Step-by-step explanation:

x^2(2x+1)-5x(2x+1)-4(2x+1)

2x^3+x^2-10x-5x-8x-4

=2x^3+x^2-23x-4

Answer:

Radius:3.14

Circumference: 6.28

Step-by-step explanation:

C=2(pi)(r)

replace r with 1

and you get 6.28

R=(pi)(r)^2

Replace r with 1

multiply and you get 3.14

Answer

B

Step-by-step explanation:

Is the answer !

Answer:

The answer is B

Step-by-step explanation:

YEAH its is, And god is GIOD

Answer:

C

Step-by-step explanation:

?

Answer:

C

Step-by-step explanation:

It is C because it has a quadratic polynomial, a polynomial of degree 2

A function in the form that would match the graph that is given is

y(x)=(6/5)(x-1)²(x-5)².

An example of a rule is a function, which creates one output from one input. Alex Federspiel is the photographer. y=x² serves as an illustration of this. There is just one output for y if you enter anything for x. Considering that x is the input value, we can infer that y is a function of x. a formula, rule, or piece of legislation that specifies the relationship between the independent and dependent variables (the dependent variable). The link between two independent variables and one dependent variable is described by a mathematical expression, rule, or law (the dependent variable).

From the graph, the curve turns at the points

x=1 and x=5

The equation becomes,

y(x)=a(x-1)²(x-5)²

The above curve passes through (0, 30)

y(0)=a(1-0)²(0-5)²=30

a(-1)²(-5)²=30

a=30/25

a=6/5

y(x)=(6/5)(x-1)²(x-5)²

A function in the form that would match the graph that is given is

y(x)=(6/5)(x-1)²(x-5)².

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The m’s would all be the same number.Another way of adding the same number to each other would be to multiply that number by the number of times you want to add it to each other.

With m + m + m you are adding it 3 times.

So instead multiply m by 3:

The answer is 3m

Answer:

In the Question the concept used is the algebra

We know that

\( \sf \: x \times x = {x}^{2} \)

and

\( \sf \: x + x = 2x\)

Similarly

\( \sf \: m + m + m = 3m\)

The method is also known as property of addition in algebra

Answer:

The answer is point A' (3, -2).

Answer:

17.138°

Step-by-step explanation:

180°=90°-35°-Unknown sum of angles in triangle

180°-125°=Unknown

unknown =55°

sin55/x=sin35/12

sin55°\x=0.047798036°

x=17.138°

By the Principle of Mathematical Induction, 2ⁿ≥2n is true for all positive integers.

The given inequality is 2ⁿ≥2n.

Let n = 1

2^1 ≥ 2^1

2 ≥ 2 which is true

Inductive Step: Assume 2ⁿ≥2n is true for some arbitrary positive integer k.

We need to prove that 2^(k+1) ≥ 2^(k+1)

2^(k+1) ≥ 2*2^k (by the inductive hypothesis)

2^(k+1) ≥ 2*2^(k+1)

2^(k+1) ≥ 2^(k+1) which is true

Therefore, by the Principle of Mathematical Induction, 2ⁿ≥2n is true for all positive integers.

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Answer:

222 years

Step-by-step explanation:

25% = 0.25

This radio active isotope have a half time if 111 years.

It means for every 111 years it decays to the half of the amount of it's substance present.

So in the first 111 years it will decay to it's half of the initial= 0.5

In another 111 year it will decay to another 0.5 of the present 0.5

That is, it will decay 0.5*0.5 = 0.25 if the original substance.

So I will take 111+111 = 222 years for the substance to decay to 0.25 or 25% of its original substance.

Answer:

Step-by-step explanation:circumference = pi x diameter.

Using 3.14 for pi

Circumference = 3.14 x 7.5 = 23.55

Rounded to the nearest tenth = 23.6

The circumference of the circle with a diameter of 7.5 is, C = 23.6

Used the concept of the circumference of the circle that states,

The circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. The formula used to calculate the circumference of the circle with radius 'r' is,

C = 2πr

Given that,

The diameter of a circle is 7.5.

Hence, The radius of a circle is,

7.5/2 = 3.75

So, The circumference of the circle with a radius of 3.75 is,

C = 2 × 3.14 × 3.75

C = 23.55

Rounded to the nearest tenth,

C = 23.6

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Seniors in the class = total number of students - total number of juniors

30 - 24 = 6

Juniors that went on the field trip = 2/3 x 24 = 16 students

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The perimeter of the figure with side length of 5 units is 50 units

From the question, we have the following parameters that can be used in our computation:

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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