Giovanni Gaines
Arithmetic on Polynomial Expressions
Nov 21, 3:14:22 PM
If C=x^2+7x+5 and D=x^2-8, find an expression that equals 3C-2D in standard form.

The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Answer:

see below

Step-by-step explanation:

1. Notice that your inequalities have ≤ and >. So one of the lines on the graph must be dotted, eliminating the bottom two choices.

2. The lines on both of the top choices are graphed identically, so now it's all about shading. The best way to determine correct shading is by testing a point to see if it makes a true statement in BOTH inequalities.

 a) Choose a point in the shaded region of the first option (I highly recommend (0,0)!!). Replace x and y in each inequality with the x and y from the point, and evaluate:

     0 ≤ 2(0) + 1?  ⇒  0 ≤ 1 TRUE

     0 > -2(0) - 3  ⇒  0 > -3 TRUE

 b) Since that point made both true statements, the first option is correct. If EITHER statement had been false, you would need to try a point in the shaded region of the second option. I recommend any where x=0 or y=0.

We isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

According to the question,

We have the following information:

Isolating a variable by dividing each side of the equation in which one side does not contain any variable.

Now, in this case, it is clearly stated that the first step to isolate the variable from the equation is to perform division.

Now, this can be done as follows in the given equation:

2x = 14

Now, the variable x can be isolated by dividing both sides of the equation by 2:

x = 14/2

x = 7

Hence, we isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

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(Area of 1) + (Area of 2) = (Area of 3) this statement about the squares must be true.

What is Right angle traingle?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest of the three sides, known as the hypotenuse, is the third side.

we know that;

By applying the Pythagorean Theorem;

[tex]c^2 = a^2 + b^2[/tex]                                                                 .............................(1)

Area of the square says A1;

A1 = a^2 unit^2                                                           ...............................(2)

Area of the square says A2;

A2 = b^2 unit^2                                                         .................................(3)

Area of the square says A1;

A3 = c^2 unit^2                                                         ..................................(4)

Replace the A1, A2, and A3 values in the equation 1 ;

A3 = A1 + A2

therefore;

(Area of 1) + (Area of 2) = (Area of 3).

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Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]5x-1=3x+5[/tex]

Get the x's on one side.

Add 1:

[tex]5x-1=3x+5\\\box \ \ +1) \ \ (\ \ \ \ +1)[/tex]

[tex]5x=3x+6[/tex]

Subtract 3x from both sides.

[tex]\ \ \ 5x=\ \: 3x+6\\\underline{-3x} \ \ \ \ \underline{-3x}\\[/tex]

[tex]2x = 6[/tex]

Finally, divide both sides by 2.

[tex]2x / 2 = 6/2[/tex]

[tex]x = 3[/tex]

Answer:

-3 <-1

-3 is less than -1.

Answer:

y=-[tex]\frac{5}{3}[/tex]x-4

Step-by-step explanation:

find the slope m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{1-6}{-3+6}[/tex]

m=-[tex]\frac{5}{3}[/tex]

Use the slope and one of the points to solve for the y-intercept

y1=mx1+b

6=-[tex]\frac{5}{3}[/tex](-6)+b

6=10+b

b=6-10

b=-4

plug the values for m and b into y=mx+b

y=-[tex]\frac{5}{3}[/tex]x-4

Answer:

First find the slope.

m=y2-y1 / x2-x1

m= 1-6

-3-(-6)

m=-5

-3+6

m=-5

3

m= -1.6

y-y1=m(x-x1)

y-6= -1.6(x-(-6))

y-6= -1.6x+6

Answer:

20

Step-by-step explanation:

197 rounded to the nearest 10 is 200.

10.3 rounded to the nearest 10 is 10.

So, 200 ÷ 10 = 20

Answer:

20

Step-by-step explanation:

We are rounding to the nearest 10.

197≈200

10.3≈10

After you have rounded the numbers, The equation simplifies a whole bunch.

200/10=20

Danielle Stevenson receives $2600.

What is a total amount?

A total is the sum of several numbers or the number of items in a group, as determined by addition or counting.

Here, we have

Danielle Stevenson receives a commission of 6.5% for selling a $160,000 house.

One-half of the commission goes to the broker and one-half of the remainder to another salesperson.

We have to find out how much amount she receives.

Danielle has a 6.5% × $160,000 = $10400

Then, Danielle half of $10400 to the broker so she remains $10400 × 1/2 = $5200

Now,

Danielle one-half of the $5200 to another salesperson. so she gets $5200 × 1/2 = $2600

Hence, Danielle Stevenson receives $2600.

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The exponential function showing the relationship between t and y is y = 310000(1.048)⁺

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

Initial population = 310000

Rate of growth = 4.8%

These parameters can be represeted as

a = 310000 and r = 4.8%

An exponential function is represented as

y = a(1 + r)⁺

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

y = 310000 (1 + 4.8%)⁺

Evaluate

y = 310000(1.048)⁺

Hence, the function is y = 310000(1.048)⁺

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ΔABC and ΔRQM are congruent triangles. They are congruent by either ASA or AAS.

Two triangles are said to be congruent if their all corresponding sides are equal and all corresponding angles are equal in measure.

For the given question,

We know that the sum of all angles of a triangle is 180°.

For ΔABC,

∠A + ∠B + ∠C = 180°

42° + 53° + ∠C = 180°

95° + ∠C = 180

∠C = 85°

For ΔABC and ΔRQM,

∠A = ∠R

∠C = ∠Q

AB = RM

So, by the AAS postulate, ΔABC and ΔRQM are congruent triangles.

For ΔRQM,

∠R + ∠Q + ∠M = 180°

42° + 85° + ∠M = 180°

∠M = 53°

For ΔABC and ΔRQM,

∠A = ∠R

∠B = ∠M

AB = RM

So, by the ASA postulate, ΔABC and ΔRQM are congruent triangles.

Therefore, ΔABC and ΔRQM are congruent triangles. They are congruent by either ASA or AAS.

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The complete question is -

Are the triangles congruent Why or why not triangle congruence ASA and AAS?

Answer:

.4 times 45

That means it snowed 63 inches

Step-by-step explanation:

Answer:

-5 johu tella no for the best

Step-by-step explanation:

one sfeoo by and the offer and the nd.

The time it will take after 17 repetitions with the learning curve having a rate of 80% is of:

6.19 seconds.

The learning curve formula is an exponential function defined as follows:

[tex]y = ab^x[/tex]

In which the parameters are listed as follows:

Then y gives the time it takes to make the xth object.

In the context of this problem, the values of the parameters are given as follows:

Then the time needed for the 17th repetition is of:

y = 275 x (0.8)^17 = 6.19 seconds.

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Using doubles plus one fact the sum of 8 + 8 + 1is equal to 17 it is done by simply adding 1 to the given number.

Doubles plus one fact is used to add numbers which are next to each other.

Doubles plus one fact is simply done by doubling the number and adding one to it.

The sum of 8 + 8 can be determined by using doubles plus one fact as:

Simply add 1 in 8 + 8 + 1 to get the result required.

8 + 8 + 1 = 17

Therefore by using doubles plus one fact the sum of 8 + 8 + 1 is equal to 17.

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Answer:

compares

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

Answer:

a) 121 feet ; b) 5 seconds

Step-by-step explanation:

maximum height = y coordinare of vertex

x coordinate = -72/2 * -16

-72/-32 = 9/4 = 2.25

y coordinate =

-16(2.25)^2 + 72(2.25) + 40

-81 + 162 + 40

-81 + 202 = 121 feet

The ball hits the ground when y = 0

-16t^2 + 72t + 40 = 0

-2t^2 + 9t + 5 = 0

discriminant = 81 -4 (-2 * 5) = 81 -4(-10) = 81 + 40 = 121

We are searching only positive value

t = (-9 -11)/-4 = -20/-4 = 5 seconds

Answer: Horizontal Translation

Step-by-step explanation:

Answer:

Step-by-step explanation:

in essence, find "x" when y = 196

[tex]y = \cfrac{1}{25}x^2\qquad \stackrel{\textit{when y = 196}}{196=\cfrac{1}{25}x^2}\implies (196)(25)=x^2 \\\\\\ \sqrt{(196)(25)}=x\implies {\Large \begin{array}{llll} \stackrel{\frac{m}{h}}{70}=x \end{array}}[/tex]

A function has an inverse if passes both the vertical line test and horizontal line test .

The inverse of the function f is denoted by f⁻¹ and is pronounced "f inverse".

Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.

If the inverse of a function is also a function, then the inverse relation must pass a vertical line test. Since all the x-coordinates and y-coordinates are switched when finding the inverse, saying that the inverse must pass a vertical line test is the same as saying the original function must pass a horizontal line test.

If a function passes both the vertical line test (so that it is a function in the first place) and the horizontal line test (so that its inverse is a function), then the function is one-to-one and has an inverse function.

The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.

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Answer:

x

Step-by-step explanation:

x

Answer:

Step-by-step explanation:

the answer is 8

The equation of Kevin's scenario is 4x + 2y = 45

From the question, we have the following parameters

Represent the buckets of popcorn with x and the number of drinks with y

So, we have the following equation

4x + 2y = total amount

This gives

4x + 2y = 45

See attachment for the graph

An absolute function is represented as

y = a|x - h| + k

Where the vertex is (h, k)

So, we make use of the following function

y = 2|x - 3| + 5

See attachment 2 for the graph

Here, we are to make use of any equation

A linear equation is represented as

y = mx + b

Where

slope = m

y-intercept = b

So, we make use of

m = 2 and b = 3

This gives

y = 2x + 3

When transformed 2 units up and 3 units down, the resulting equation is

y = 2x + 2 - 3

Evaluate

y = 2x - 1

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The length and width of the rectangle can be 30 and 2 inches, 1 inches and 60 inches and 12 inches and 5 inches.

A rectangle is a quadrilateral with opposite sides equal to each other. Opposite sides of a rectangle is equal to each other.

A rectangle has the area of 60 in².

The dimension of the rectangle can be as follows:

area of a rectangle = lw

where

Therefore,

60 = 30 × 2

60 = 1 × 60

60 = 12 × 5

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The expression 8x + 4y is not equivalent to 4(2x + 1). Therefore, 8x + 4y = 4(2x + y)

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Equivalent expressions are expressions that have similar value or worth but do not look the same.

Let's determine whether the expression 8x + 4y is equivalent to 4(2x + 1).

Let's factorise to know whether the expressions are equivalent.

Therefore, using the common factors,

8x + 4y = 4(2x + y)

Hence, the expression are not equivalent .

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Example 1: For Δ ABC, show that AB = AC and Δ ABC is isosceles if the bisector AD of ∠ A is perpendicular to side BC. Also, this condition satisfies the properties of the isosceles triangles.

thus, Δ ABC is an isosceles triangle.

Example 2: Prove that △ACF≅△AEB, if ∠C=∠E and AC=AE.

Answer:    y=-1/2x+4

Step-by-step explanation:

Answer:

66 wolves

Step-by-step explanation:

Consider now as the initial point, with the intiial population ([tex]y_{0}[/tex]) being 58  at  t=0.

We are looking for the population (y) in five years, aka when t=5. So let's sub in what we know into our equation to get the answer:

[tex]y=y_{0}e^{0.027t}[/tex]

[tex]y=(58)}e^{0.027(5)}= 66.3831334924[/tex]

Answer:

y = -x + 3; could also be y + 1 = -(x - 4)  or  y = -(x - 4) - 1  or x + y = 3

Step-by-step explanation:

No options given, so I hope this helps.

1. Identify any of the equations that have the same slope as your given equation (-1). If there's only one, stop here.

2. Find the y-intercept by replacing (x,y)=(4,-1) in the equation y = -x + b and solve for b: -1 = -(4) + b  ==> 3 = b

3. Replace b in the equation y = -x + b with 3.