What are the key aspects of the graph of f(x) = x2 – b2, where b is a real number?

Find the ratio of the bases: 15 in / 5 in = 3

The triangle on the right side is 3 times larger.

X = 8 * 3

x = 24 inches.

Answer:

no solutions

Step-by-step explanation:

-2x+3y=8

 2x-3y=10

We can use elimination to solve for x and y

Add the two equations together

-2x+3y=8

 2x-3y=10

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

0 = 18

Since this is never true, there are no solutions to this system of equations

Answer:

(B) is the homogeneous mixture

Answer:

A. 5,2

Step-by-step explanation:

Coefficients are numbers with a variable next to it (ex. 5 in 5x^2).

Answer:

252 candies

Step-by-step explanation:

Let A = 8x

Let B = 5x

Let C = 10x

10x = 8x + 24         Subtract 8x from both sides

10x - 8x = 24          Do the subtraction

2x = 24                   Divide by 2

2x/2 = 24/2            Do the division

x = 12

So Adrian has 8*12 = 96 candies.

Ben has 5 * 12 =         60 candies

Charlie has 10*12 =    120 candies

Total                      =  276 candies

The total number of sweets shared by Adrian, Ben, and Charlie is 276,

To solve how many sweets were shared by Adrian, Ben, and Charlie, with the given ratio of 8:5:10 and knowing Charlie got 24 more sweets than Adrian, we can set up a ratio problem. Let the ratio part be 'x', so Adrian has 8x sweets, Ben has 5x sweets, and Charlie has 10x sweets. As Charlie got 24 more sweets than Adrian, we can write the equation 10x = 8x + 24. Solving this equation for 'x' gives us x = 12. Thus, Adrian has 96 sweets (8 x 12), Ben has 60 sweets (5 x 12), and Charlie has 120 sweets (10 x 12). Adding these together gives us a total of 276 sweets.

Answer:

  $58.75

Step-by-step explanation:

The monthly interest rate is 8.4%/12 = 0.7%, so the first month's interest is ...

  $95,000×0.007 = $665

The amount of the first payment that goes to note reduction is the part that does not go for paying interest. That difference is ...

  $723.75 - 665.00 = $58.75

Answer:$58.75

Step-by-step explanation:

Answer:

Your answer should be A

Step-by-step explanation:

For this case we have the following functions:

[tex]f (x) = - 7x-9\\g (x) = 6x ^ 3-23x[/tex]

We must find [tex]f (9)[/tex] and [tex]g (-9):[/tex]

Substituting we have:

[tex]f (9) = - 7 (9) -9\\f (9) = - 63-9\\f (9) = - 72[/tex]

On the other hand:

[tex]g (-9) = 6 (-9) ^ 3-23 (-9)\\g (-9) = 6 (-729) -23 (-9)\\g (-9) = - 4374 + 207\\g (-9) = - 4167[/tex]

Answer:

Option C

Answer:

-9⃣ = t

Step-by-step explanation:

You know that 6 - ? = -12, so just simply deduct six from both sides, leaving you with -18 = 2t; -9⃣ = t.

4/5 is equivalent to the percentage 80%.

Answer:

The correct answer is given by,

The fraction 4/5 is equivalent to 80%

Step-by-step explanation:

Points to remember

To convert fraction into percentage we have to multiply fraction with 100

x/y ⇒ 100x/y%

To find the equivalent percentage

Here fraction is 4/5

4/5 is equivalent to (4/5) * 100 = 400/5 = 80%

Therefore the correct answer is,

The fraction 4/5 is equivalent to 80%

Answer:

  $953.4 billion

Step-by-step explanation:

Each year, exports are (1-0.027) = 0.973 of what they were the year before. After 3 years, the export value is multiplied by 0.973^3. So, in 2013, the value of exports would be ...

  ($1035 billion)(0.973^3) ≈ $953.4 billion

namely, how many go-around or revolutions does a tire have to make for those 165 meters.

[tex]\bf \textit{circuference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=1.7 \end{cases}\implies C=1.7\pi \impliedby \textit{one revolution} \\\\\\ \textit{how many times does }1.7\pi \textit{ go into 165?}\qquad \stackrel{\pi =3.14}{\cfrac{165}{1.7\pi }\qquad \implies \qquad 30.9}[/tex]

The number of times the tire will have to turn in travelling the length of the street is 30.9 times.

To determine the number of times the tire will have to turn in travelling the length of the street, we will first calculate the circumference of the tire.  

Since the tire is circular, the circumference of the tire can be calculated from the formula for calculating the circumference of a circle.

The circumference of a circle is given by

C = πd

Where C is the circumference and d is the diameter

From the question d = 1.7m and π = 3.14

∴ C = 3.14 × 1.7

C = 5.338 m

Therefore, the circumference of the tire is 5.338 m

Now, for the number of times the tire will have to turn in travelling the length of the street, we will divide the length of the street by the circumference of the tire.

Number of times the tire will have to turn = Length of the street ÷ Circumference of the tire

Number of times the tire will have to turn = 165 m ÷ 5.338 m

Number of times the tire will have to turn = 30.91045 times

Number of times the tire will have to turn ≅ 30.9 times

Hence,  the number of times the tire will have to turn in travelling the length of the street is 30.9 times

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For this case we have the following inequality:[tex]d> 11[/tex]

Assuming that "d" is the variable that represents the number of hours worked by Mo during this week, we have that the hours were greater than 11, according to the inequality sign.

So, the correct option is:

Mo worked more than 11 hours this week.

Answer:

Option A

Answer: a

Step-by-step explanation:

Explanation:

Multiply it out, collect terms, and look for a factor of 7:

  n(n +2) -(n -7)(n -5) = n² +2n -(n² -12n +35)

  = 14n -35

  = 7(2n -5)

The expression has a factor of 7, so is divisible by 7 with a resulting quotient of 2n-5.

To find the distance between two points on a coordinate system, we can use the distance formula, which is derived from the Pythagorean theorem.

To find the distance between two points on a coordinate system, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the given points (-3,4) and (8,-7), we can plug in the coordinates into the formula:

d = sqrt((8 - (-3))^2 + (-7 - 4)^2)

Simplifying the equation, we get:

d = sqrt(11^2 + (-11)^2)

Finally, calculating the square root, we find that the distance between the two points is sqrt(242), which is approximately 15.56 units.

Thus, the distance on the coordinate system from the point (-3,4)to the point (8,-7) is fond to be 15.56 units.

Answer:

  y = 2.5(x +4)(x -1.5) = 2.5x^2 +6.25x -15

Step-by-step explanation:

Each given zero corresponds to a factor that is zero at that point. Those factors are (x +4) and (x -1.5).

The y-intercept tells us the scale factor, the multiplier that is needed to make the function value be -15 at x=0.

  y = a(x +4)(x -1.5) = a(0 +4)(0-1.5) = -6a

  -15 = -6a

  -15/-6 = a = 2.5

So, the quadratic is ...

  y = 2.5(x +4)(x -1.5) = 2.5x^2 +6.25x -15

___

"The equation" can be written in many different forms. The simplest, given the information here, is the factored form (also called "intercept form"). We have also shown "standard form" (US version). The "standard form" (UK version) is also known as vertex form:

  y = 2.5(x +1.25)^2 -18.90625

a tangential line to a circle is one that "touches" the circle but doesn't go inside, and keeps on going, in this case that'd be CD.

The correct answer would be:  segment CD

The probability of rolling either a 3 or a 5 on a six-sided die is 1/3, or about 0.3333, as there are two favorable outcomes (3 or 5) and six possible outcomes in total.

The question asks to find the probability of rolling either a 3 or a 5 when a fair six-sided die is rolled. The sample space for a six-sided die is {1, 2, 3, 4, 5, 6}. To calculate the probability of rolling either a 3 or a 5, we need to count the favorable outcomes, which are 2 (rolling a 3 and rolling a 5), and divide this by the total number of possible outcomes, which is 6.

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability (rolling a 3 or 5) = 2 / 6 = 1 / 3.

Therefore, the probability of rolling either a 3 or a 5 on a six-sided die is 1/3, or approximately 0.3333.

Answer:

x2+3

Step-by-step explanation:

The selected value is 3 units up from g (x), the correct option is C.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

g(x) = x2 + 3.

f(x) = g(x+2)

Now,

Using these rules, we can fill in the blanks as follows:

The function g(x)+3. The function f(x) = g(x+2),

The function /(x) is shifted horizontally

Select a Value

2 units left from g (x).

The function /(x)is shifted vertically

Select a Value

3 units up from g (x).

Therefore, the answer of the function will be 3 units up from g (x).

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Answer:

No, it is not a square

Step-by-step explanation:

If one wall is 19", that would mean the wall perpendicular to this wall is also 19" (in fact all of the walls would be 19"!) If this was a square, then the diagonal we draw at 20.62" would serve as the hypotenuse of a right triangle.  One wall would serve as a leg, and another wall as another leg.  If this is a square, then the Pythagorean's Theorem would be satisfied when we plug in the 2 wall measures for a and b, and the diagonal for c:

[tex]19^2+19^2=20.62^2[/tex]

We need to see if this is a true statement.  If the left side equals the right side, then the 2 legs of the right triangle are the same length, and the room, then is a square.

361 + 361 = 425.1844

Is this true?  Does 722 = 425.1844?  Definitely not.  That means that the room is not a square.

Answer:

If what you are doing here is trying to get the value of x then:

Those two lines passing through the circle are secants.

Now, a formula I was taught in class is:

(outside)(whole) = (outside)(whole)

**1 SEGMENT'S VALUES PER SIDE** **DO NOT MIX**

"Outside" represents the value of the segment which is found outside of the circle.

The "whole" would be the outside segment plus the inside segment.

Thus, the formula would be:

(4)(9+4) = (x)(x + 12)

Next, you would simplify by adding, multiplying, and doing the distributive property:

(4)(13) = (x)(x + 12)

52 = x² + 12x

In this case, you would have to use the quadratic formula, while at other times, you could simply move around the terms and get the square root of a number.

Set the equation to zero:

x² + 12x - 52 = 0

Next plug-in the values

(-b (+ or -)√b² - 4 (a)(c) )/ (2)(a)

(-(12) (+ or - )√12² - 4(1)(-52)) / (2)(1)

(-12 (+ or -) √144 + 208) / 2

(-12 (+ or -) √352) / 2

Now, the square root of 352 would be approximate, since 352 is not a perfect square.

352 is approximately 18.7616630393 or, when rounded to the nearest hundredth, 18.76.

So.....

(-12 (+ or -) 18.76) / 2

Solve for both the + and the -

(-12 + 18.76) /2 = (approximately) 3.38 = x

(-12 - 18.76)/2 = (approximately) -15.38 = x

Therefore, x would be equal to 3.

Answer: -4 1/2 , -1/2 , 1/4 , 2/3 , 2 1/3

Step-by-step explanation:

For this case we have the following numbers:

[tex]\frac {2} {3} = 0.6667[/tex]

[tex]-4 \frac {1} {2} = \frac {-8 + 1} {2} = \frac {-7} {2} = - 3.5[/tex]

[tex]\frac {1} {4} = 0.25[/tex]

[tex]- \frac {1} {2} = - 0.5\\2 \frac {1} {3} = \frac {3 * 2 + 1} {3} = \frac {7} {3} = 2.3333[/tex]

If we order from least to greatest we have:

[tex]-3.5; -0.5; 0.25; 0.6667; 2.3333[/tex]

Answer:

[tex]-4 \frac {1} {2}; -\frac {1} {2}; \frac {1} {4}; \frac {2} {3}; 2 \frac {1} {3}[/tex]

Answer:

  x ∈ {-26, 22}

Step-by-step explanation:

A graph shows that the points (-26, -27) and (22, -27) lie on a circle of radius 40 centered at (-2, 5). That is, if Q is either one of these points, the vector PQ will have a length of 40:

You can call it -40 if you like, but you have to define what negative length means when you do that.

Answer:

Already in standard form

Step-by-step explanation:

-4y=10

-4y= by

10= c

And in this case ax=0x, so it will not show up in the equation

0x-4y=10, which is already in standward form

-4y=10 divide both sides by -2, so 2y=5 subtract 5 from both sides,

2y-5=0

There’s really no work to it tho unless you want to put the division. I did the first 5 since you only needed 5 of them. ( the r^# is the exponent numbers I don’t know how to make them look like exponents in my notes) Hope this helps <3

let's say "x" is the whole lot and thus the 100%.

we know 12 is 60%, how much is "x" or 100%?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12&60 \end{array}\implies \cfrac{x}{12}=\cfrac{100}{60}\implies \cfrac{x}{12}=\cfrac{5}{3} \\\\\\ 3x=60\implies x=\cfrac{60}{3}\implies x=20[/tex]

Answer:

• g(1) = 25

• g(n) = g(n-1) -49

Step-by-step explanation:

You can get a clue by filling in n=2 in the explicit formula:

g(2) = 25 -49(2-1) = 25 -49 = g(1) -49

The explicit formula is of the form for an arithmetic sequence:

g(n) = g(1) +d(n-1) . . . . where g(1) is the first term and d is the common difference

Of course, this translates to the recursive formula ...

• g(1) = g(1)

• g(n) = g(n-1) +d

Here you have g(1) = 25, and d = -49. Filling these into the recursive form, you get ...

• g(1) = 25

• g(n) = g(n-1) -49

Answer:

• g(1) = 25

• g(n) = g(n-1) -49

Step-by-step explanation:

You can get a clue by filling in n=2 in the explicit formula:

g(2) = 25 -49(2-1) = 25 -49 = g(1) -49

The explicit formula is of the form for an arithmetic sequence:

g(n) = g(1) +d(n-1) . . . . where g(1) is the first term and d is the common difference

Of course, this translates to the recursive formula ...

• g(1) = g(1)

• g(n) = g(n-1) +d

Here you have g(1) = 25, and d = -49. Filling these into the recursive form, you get ...

• g(1) = 25

• g(n) = g(n-1) -49

Answer:

  See the attachment

Step-by-step explanation:

The point of the dashed line y=x in the problem statement graph is that the inverse function is a reflection of the function across that line. (y and x are interchanged) The graph of selection C has the appropriate pair of curves.

If both Bob and Fred make $20 less a week than twice John's weekly salary, then

[tex]B+F+20 = 2*J[/tex],

where B, F, and J are Bob's, Fred's, and John's salaries, respectively.

We want to find F, Fred's salary. Plugging in Bob's and John's salaries, we obtain

[tex]140+F+20 = 2*110[/tex]

[tex]F+160 = 220[/tex]

[tex]F = 60[/tex]

So Fred makes $60 a week.

Answer:

Fred makes $60/week.

Step-by-step explanation:

Fred makes f dollars per week, john j dollars and bob b dollars.

Then b = $140/week; j = $110/week; and b + f = 2j - 20.

Substitute $140/week for b in this equation; also substitute $110/week for j.  Then:  

    $140/week + f = 2($110) - $20.  There's only one variable here, f, so we're ready to solve for f:

    $140/week + f = $220/week - $20/week,   or:

     $140/week + f = $200/week

Subtract $140 from both sides, obtaining:

f = $60

Fred makes $60/week.

Answer:

  AB = (2 +2√3)r

Step-by-step explanation:

Let X be the point of tangency of circle O3 and AB. Then length XO3 is r. The triangle BXO3 is a 30°-60°-90° right triangle. You know this because BO3 bisects the 60° angle at B of the equilateral triangle ABC.

A 30°-60°-90° triangle has side lengths in the ratios 1 : √3 : 2. That means side XB of triangle BXO3 has length r√3. The distance from A to the point of tangency of AB with circle O1 has the same measure.

Of course the distance between those points of tangency is the same measure as the distance between centers O3 and O1: 2r. So, the total length of AB is ...

  AB = r√3 + 2r + r√3

  AB = (2 +2√3)r

Step 4

The numerator of this fraction is right because there are 5 shaded sections, but the denominator is incorrect because there are 6 total boxes, not 5.

Hope this helps!!

Answer:

the answer is C step 3

Step-by-step explanation:

because out side the box said 1/2 when its 3/6 and the question sais

In which step did her first error occur? so thats the firt the second one

its 1/3 when its 2/6. Hope it helps :)