Multiple Choice | Apex | Pre-Cal

what is the maximum number of possible solutions for the system shown below?

3x^2+y^2=64

x^2+y=10

A. 1

B. 2

C. 3

D. 4

Answer:

2.4 2.2

2.3 2.4

2.2 2.6

2.1 2.8

2 3

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | > a always have solutions of the form

x < - a or x > a, thus

2x + 1 < - 5 OR 2x + 1 > 5 ( subtract 1 from both sides of both inequalities

2x < - 6 OR 2x > 4 ( divide both sides of both inequalities by 2 )

x < - 3 OR x > 2

can you put up a picture then I may be able to help

Answer:

Variable

Step-by-step explanation:

x is a variable or a multiplication sign

Just divide [tex]\mathbf u[/tex] by its magnitude:

[tex]\|\mathbf u\|=\sqrt{5^2+6^2+(-1)^2}=\sqrt{62}[/tex]

So a unit vector in the direction of [tex]\mathbf u[/tex] is

[tex]\dfrac{\mathbf u}{\|\mathbf u\|}=\dfrac5{\sqrt{62}}\,\mathbf i+\dfrac6{\sqrt{62}}\,\mathbf j-\dfrac1{\sqrt{62}}\,\mathbf k[/tex]

Then multiply this by -1 to get a unit vector pointing in the opposite direction.

To find the unit vector in the direction of a vector u, divide each component by its magnitude. For a vector u=i+j, the unit vector direction is ½(i+j), and the opposite direction is ½(-i-j).

To find a unit vector in the direction of a given vector u, we must first calculate the magnitude (or length) of u and then divide each component of u by that magnitude. Let's assume the vector u has components i and j. The magnitude of u, denoted as |u|, is given by the square root of the sum of the squares of its components, which is √(i² + j²). The unit vector in the direction of u is then the vector u divided by its magnitude, Û = (i/|u|, j/|u|).

In the case of the vector u = i + j, the magnitude is √(1² + 1²) = √2, and so the unit vector in the direction of u is Û = ½(i + j). Conversely, the unit vector in the direction opposite to u would be Û = ½(-i - j) since we are simply negating each component of the unit vector in the direction of u.

Answer:

B. Step 3 is incorrect, it should be x = 10/8

Step-by-step explanation:

Answer:

The correct option is B) Step 3 is incorrect and should be [tex]x=\frac{10}{8}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]6x-1=-2x+9[/tex]

Step 1: Use addition property of equality.

[tex]8x-1=9[/tex]

Step 2: Use addition property of equality.

[tex]8x=10[/tex]

Step 3: Use Division property of equality.

[tex]x=\frac{10}{8}[/tex]

Step 4: Now simplify.

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

Now, by comparing these steps with the provided image we can concluded that the step 3 is incorrect.

Thus, the correct option is B) Step 3 is incorrect and should be [tex]x=\frac{10}{8}[/tex].

Answer:

b

Step-by-step explanation:

ANSWER

There is

[tex]3.219\times {10}^{5} [/tex]

more money in the vault in the evening than in the morning.

EXPLANATION

The amount of money in the vault in the morning is

[tex]2.81 \times {10}^{4} [/tex]

The amount of money in the vault at the end of the day is:

[tex] 3.5 \times {10}^{5} [/tex]

To find how much more money is in the vault at the end of the day than there was in the morning, we subtract to get:

[tex]3.5 \times {10}^{5} - 2.81 \times {10}^{4} [/tex]

[tex] = 3.5 \times 100000 - 2.81 \times 10000[/tex]

[tex]350000 - 28100= 321900[/tex]

Therefore, there is

[tex]3.219\times {10}^{5} [/tex]

more money in the vault.

the complex number z=-2+10i

is the sum of real number 2 in the -ve x asix

and imaginary number 10in the y axis

A. 7

7 is far away from the rest of the numbers, so it is an outlier.

The answer is A) 7 since it doesn’t fit in with the other numbers. In other words it’s the smallest number.

A.

r - (r x .45) = d (The discounted price of the dress.)

B.

85 - (85 x .45) = 46.75

Now to find the final cost.

46.75 + (46.75 x .09) ~ 50.96

The final price is $50.96.

Hope this helps!

If it does, it would help a lot if you make me brainliest.

Answer: The range is the difference between the largest and the smallest number, in this case the range would be 0

Step-by-step explanation:

Answer:

You missed a few numbers there, but the answer is 5/8 I just had this question:))

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The distance of a run compared with the number of times around a track.

The question asks for what is most likely to have a constant rate of change. This means that for every x, there is about the same y, as a constant rate of change means that there is a consistent slope, which is the x and y value. In real world terms, it means that you can expect every one value to change however much without changing randomly.

For example, when you buy a pizza, you expect a pizza to get you 8 slices. When you get two, you expect to get 16, 3 gets you 24 slices, and so on. This expectation is based off the constant rate of change, as you get 8 slices for each pizza. The slices would be modeled as y and the pizza would be modeled as x in mathematical terms in this situation.

Because we know that the track's distance doesnt change with every lap, we can expect it to have a constant rate of change. This concept is the same as the pizza as discussed earlier. Every lap would get her a certain amount of miles, and every other lap would increase the same amount.

The answer is

10+x/6

Answer:

10 + x/6

Step-by-step explanation:

This is the equation you make

Answer:

2.99

Step-by-step explanation:

To find the cost of one sheet of stamps, you multiply the number of stamps (100) by the cost per stamp (29 cents), which equals 2900 cents.

To find out how much one sheet of postage stamps will cost, we need to follow these steps:

Therefore, the cost of one sheet of stamps is 2900 cents.

Answer:

$2,783.53

Step-by-step explanation:

Answer:

$2783.53

Step-by-step explanation:

$2416.78 - $70.25 - $19.00 +$456.00 = $2783.53

Can't count the $155.00 just yet as it has not registered as a credit. NSF and the service charge are always a deduction.

Answer:

Step-by-step explanation:

Head: 5/2= 2.5, 2.5 x 3.14 = 7.85, 7.85 x 7.85= 61.6225

Neck: 2 x 2 = 4

Body: 7 x 10= 70

Arms: 8 x 3 = 24, 24 + 24 = 48

Legs: 4 x 2 = 8, 8 + 8 = 16

Shoes: 4 x 3= 12, 12 + 12 + 24

Triangle: 3 x 4= 12, 12/2 = 6, 6 + 6 = 12

Total: 61.6225 + 4 = 65.6225, 65.6225 + 70 = 135.6225, 135.6225 + 48= 183.6225, 183.6225 + 16 = 199.6225, 199.6225 + 24= 213.6225, 213.6225 + 12 = 225.6225

Check the picture below.

[tex]\bf \begin{array}{llll} \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}\\\\ V=3\left( \cfrac{\pi r^2 h}{3} \right)\\\\ V=3(33)\\\\ V=99 \end{array} \qquad \qquad \begin{array}{llll} \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}\\\\ V=33\\\\\\\\\\ \end{array}[/tex]

notice, the volume of the cone is one-third of the cylinder's.

D.) -4/5X-47/10, because the slope of the line is 5/4 and the perpendicular bisector must be the opposite reciprocal, meaning the numerator and denominator flip and then it becomes negative. So the opposite reciprocal of 5/4 is -4/5, leading us to answer choice D

Answer:

Option 3

Hope this helps you out!

Option 3 the answer hopes this helps u out

Answer:

(5x+3y) and (5x-3y)

Step-by-step explanation:

From the concept on difference between two squares;

a² - b² = (a+b)(a-b)

Therefore;

25x² - 9y² = (5x+3y) (5x-3y)

Therefore the dimensions of the square are (5x+3y) and (5x-3y)

Answer:

the dimensions of the rectangle are (5x + 3y) and (5x - 3y)

Step-by-step explanation:

The area of a rectangle is 25x^2 - 9y^2 square units.

To find the dimensions of a rectangle we need to factorize the expression completely.

We know that (a + b)(a - b) = a^2 - b^2

In this case: a^2 = 25x^2 and b^2 = 9y^2

So a = sqrt(25x^2) = 5x

And b = sqrt (9y^2) = 3y

Then the solution is:

(a + b)(a - b) = (5x + 3y)(5x - 3y)

Then the dimensions of the rectangle are (5x + 3y) and (5x - 3y)

Answer:

D. 1/8

Step-by-step explanation:

Count the total sections - 8

Count how many 4s there are - 1

Reduce if possible, not possible here.

The probability of spinning getting 4 on the spinner will be 0.125.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The shinner has 8 equal sections.

The total number of events will be

Total event = 8 {1, 1, 1, 2, 2, 3, 3, 4}

Then the probability of spinning getting 4 on the spinner will be

Favorable event = 1 {4}

Then the probability will be

P = 1 / 8

P = 0.125

P = 12.5%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

To graph y = |x+2|, consider the parent function y = |x| and translate it 2 units to the left. Choose x-values, find the corresponding y-values, and plot the points. Connect the plotted points to obtain the graph of y = |x+2|.

To graph the equation y = |x+2|, we will first consider the parent function y = |x|, which is a V-shaped graph that passes through the origin. Translating the graph y = |x| to the left by 2 units gives us y = |x+2|.

To plot the graph, we can choose various x-values and find the corresponding y-values. For example, when x = -4, y = |(-4)+2| = 2. Similarly, when x = -2, y = |(-2)+2| = 0. We can continue this process to find more points and then plot them on a coordinate plane.

By connecting the plotted points, we will obtain the graph of y = |x+2| which will be a V-shaped graph shifted 2 units to the left.

step 2 i believe is the answer

Answer:

Step 2

Step-by-step explanation:

Answer:

9 1/8

Step-by-step explanation:

1. first take away the fraction part and take the whole numbers off of the numbers and add them!

1 + 3 + 5 =  9

2. now take that aside and keep that for later... now lets focus on the

1/2, 3/4, and the 1/8 these are the STARS you will be focusing on!

3. now, find the common denominator in these fractions!!!

how? here is how!

       1. lets list these fractions:

1/2, 3/4, and 1/8

the common demoninator is 8 because 1. its one of the highest in this set and 2. if you multiply 1/2 and 3/4 n the numerator and the demoentator by 4 they can create  a 8 denminator and then you can add them!

4. Next, I wont be explaning you just watch!

3        x2             6

_     =               _                  

4          x2            8    (to get to 8 from 4 you multiply by 2! so you do the same for the upper one!!!)

1      x4          4

_     =        _

2       x4        8

you dont do anything to 1/8 because its already part of the eights family! :D

5. I know, it took us a LONG way here but here it is! the final! now, time to add them!

     4/8, 6/8 and 1/8

6. lastly...

1 1/8 + 9 = 9 1/8

Hope this helpes! sorry this was so long!!! :D

Answer:

8

Step-by-step explanation:

The sum of the internal angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5, hence

sum = 180° × 3 = 540°

Each exterior angle plus interior angle = 180°

Subtract each exterior angle from 180 for corresponding interior angle.

180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118

Sum the 4 interior angles and subtract from 540 for 5 th interior angle

5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°

The 5 th interior angle and 12x sum to 180 ( same reason as above )

Hence

12x + 84 = 180 ( subtract 84 from both sides )

12x = 96 ( divide both sides by 12 )

x = 8

Answer:

8

Step-by-step explanation:

To get the answer type 2•4•3+2•4•2+2•3•2

in to a calculator And you’ll get “52m”

Answer:

52 m²

Step-by-step explanation:

The prism has 6 rectangular faces.

Opposite faces are congruent, that is

top/bottom, front/back and sides

A = 2(4 × 3) + 2(3 × 2) + 2(4 × 2)

   =( 2 × 12) + (2 × 6) + (2 × 8)

   = 24 + 12 + 16

   = 52 m²

Answer: range: (-10,-4,4,10)

Step-by-step explanation:  range is y value and domain is x value

f(x) will be ur y

in place  of x put the value of domain

example:

             y=2(-2)-6

           = -10

2) y=2[1]-6

     = -4

like that do the rest of the working to find ur range.

Answer:

the range is : (-10,-4,4,10)

Step-by-step explanation:

calculate :

f(-2) = 2(-2) -6 = -10

f(1) = 2(1) -6 = -4

f(5) = 2(5) -6 = 4

f(8) = 2(8) -6 = 10

the range is : (-10,-4,4,10)

Answer:

Step-by-step explanation:

n, n + 1, n + 2 - three consecutive integers

The equation:

n(n + 1) = 8(n + 2) + 2              ust the distributive property

n² + n = 8n + 16 + 2

n² + n = 8n + 18               subtract 8n from both sides

n² - 7n = 18          subtract 18 from both sides

n² - 7n - 18 = 0

n² - 9n + 2n - 18 = 0

n(n - 9) + 2(n - 9) = 0

(n - 9)(n + 2) = 0 ⇔ n - 9 = 0 or n + 2  =0

n - 9 = 0     add 9 to both sides

n = 9

n + 2 = 0          subtract 2 from both sides

n = -2 < 0

n + 2 = 9 + 2 = 11

Answer:

width is 48, length is 60

Step-by-step explanation:

Answer:  The dimensions of the field are

width = 40 ft and length = 60 ft.  

Step-by-step explanation:  Given that a field with an area of 2880 ft² has the shape of a rectangle with length 12 ft larger than the width.

We are to find the dimensions of the field.

Let w ft be the width of the given rectangular field.

Then, the length of the field will be (w + 12) ft.

According to the given information, we have

[tex]w \times (w+12)=2880\\\\\Rightarrow w^2+12w=2880\\\\\Rightarrow w^2+12w-2880=0\\\\\Rightarrow w^2+60w-48w-2880=0\\\\\Rightarrow w(w+60)-48(w+60)=0\\\\\Rightarrow (w-48)(w+60)=0\\\\\Rightarrow w-48=0,~~~w+60=0\\\\\Rightarrow w=48,-60.[/tex]

Since the measure of a side of a rectangle cannot be negative, so w = 48.

This implies that

length of the field = w + 12 = 48 + 12 = 60 ft.

Thus, the dimensions of the field are

width = 40 ft and length = 60 ft.  

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the box plot shows the number of books sold each day at a store for 80 days.

A box plot is drawn with end points at 0 and 16.  It means minimum value is 0 and maximum is 16.

The box extends from 2 to 12. It means first quartile is 2 and the third quartile is 12. A vertical line is drawn inside the box at 7, it means median is 7.

He have to find the number of days in which the bookstore sell 2 to 12 books.

2 is first quartile and 12 is third quartile, we know that

[tex]Q_1=25\%[/tex]

[tex]Q_3=75\%[/tex]

[tex]Q_3-Q_1=75\%-25\%=50\%[/tex]

The data lies between Q₁ and Q₃ is 50% of the data.

[tex]80\times \frac{50}{100}=40[/tex]

The bookstore sell 2 to 12 books in 40 days.

Therefore, the correct option is 1.

Answer:

I had to do this and i got option  1, too (40)

Step-by-step explanation:

I did it and got it right on my exam.