which graph passes the vertical line test​

Answer:

Factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]

Step-by-step explanation:

We need to solve the polynomial: [tex]3x^2-75[/tex]

First we see that 3 is common term, so taking 3 as common

[tex]3(x^2-25)[/tex]

We know that 25 = 5x5 = 5²

So, replacing 25 with 5²

[tex]3(x^2-5^2)[/tex]

We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]

Applying this in our equation: [tex]x^2-5^2=(x+5)(x-5)[/tex]

[tex]3(x+5)(x-5)[/tex]

So, factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]

Answer:

14 im pertty sure

Step-by-step explanation:

3(x - 9) = 3

3x - 27 = 3

3x = 3 + 27

3x = 30

x = 30/3

x = 10

Answer:

The art teacher needs 73 containers to store all the colored pencils.  

Step-by-step explanation:

1,314 colored pencils ÷ 18 pencils per container = 73 containers total

The number of containers the art teacher need to store all the colored pencils is 73.

Given that, the art teacher buys containers to store 1,314 colored pencils.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, each container holds 18 pencils.

Number of containers = Total number of pencils/Number of pencils in each container

= 1314/18

= 73

Therefore, the number of containers the art teacher need to store all the colored pencils is 73.

To learn more about the unitary method visit:

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The primitive function for [tex]f(x) = 4e^{2x} + e^{-x}[/tex] is given by it's indefinite integral.

To calculate it, recall:

[tex]\frac{d}{dx}e^{ax}=ae^{ax}[/tex]

[tex]\int c f(x)dx = c\int f(x)dx[/tex]

Let's begin

[tex]\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\[/tex]

[tex]F(x) = 2e^{2x}-e^{-x} +c[/tex]

To find the costant, we just need to use the fact that [tex]F(0)=2[/tex]

[tex]F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3[/tex]

Therefore,

[tex]\boxed{F(x) = 2e^{2x} - e^{-x} -3 }[/tex]

Answer:

x= -9

Step-by-step explanation:

Answer:

the product does not exits

The product matrix is,

[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

For example, is a matrix with two rows and three columns.

here, we have,

two matrices,

A = 2×3

and, B= 3×2,

as the no. of column of A = the no. of row of B

the can be a product matrix of order 2×2.

Now, we get,

the product matrix is,

[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]

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Answer:

[tex]k = 4[/tex]

Step-by-step explanation:

Given

[tex]4x^2 - 8x + k[/tex]

Required

Determine k if the expression is a perfect square

A quadratic is of the form;

[tex]ax^2 + bx + c[/tex]

Where (by comparison):

[tex]a = 4[/tex]     [tex]b = 8[/tex]     [tex]c = k[/tex]

If the above is a perfect square, then

[tex]k = \frac{b^2}{4a}[/tex]

Substitute values for a, b and c

[tex]k = \frac{8^2}{4*4}[/tex]

[tex]k = \frac{64}{16}[/tex]

[tex]k = 4[/tex]

Hence, k = 4

Answer:

C.) $835.49

(For plato users)

Answer:

55 points

Step-by-step explanation:

If she scored 33 points in 3 games then she is scoring 11 points per game. If you multiply 11 and 5 you will get 55

Answer:

its pretty easy do it urself

Step-by-step explanation:

u just divided and mutiply

Answer:

The answer is 16 or 16.5

Step-by-step explanation:

To find the mean Add up all data values to get the sum.

Count the number of values in your data set.

Divide the sum by the count.

Answer:

Answer is : 16

Step-by-step explanation:

18+12+23+15+12=80

80 On the number of divided numbers

80/5=16

Answer:

2.5%

Step-by-step explanation:

The percentage of people taking the test who are above 698 is ___%

Empirical rule formula states:

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the question, we have:

Mean of 514 and a Standard deviation of 92

Hence:

μ ± xσ

514 ± 92x = 698

514 + 92x = 698

92x = 698 - 514

92x = 184

x = 184/92

x = 2

Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:

100 - 95% /2

= 5/2

= 2.5%

The percentage of people taking the test who are above 698 is 2.5%

Answer: 0.6764705882

Step-by-step explanation:

Answer:

x > 20

:) hope this helps

Answer:

28

Step-by-step explanation:

Substitute x = - 2 into the expression, that is

(- 2)² - 7(- 2) + 10 = 4 + 14 + 10 = 28

Answer:

no

Step-by-step explanation:

Answer:

Both of them have a bit of same factors and both are composite so they are not really

Step-by-step explanation:

Answer:

The Answer is D

Step-by-step explanation:

12x + 10

y =3

After you set each equation to terms where you can cancel out the x

you are left with:

14y = 42

y = 3

** sorry

Answer:

Yasmine can make 9 invitations.

Step-by-step explanation:

[tex]\frac{\frac{3}{4} }{\frac{1}{12} }=\frac{36}{4}=9[/tex]

Answer:

1.17

Step-by-step explanation:

0.4+0.77 = 1.17

Answer:

128÷ 36=92

92÷ 4=23

y=23

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

m = (change in y) / (change in x) = 8/0:  undefined

Step-by-step explanation:

Note that the x-coordinate of both given points is the same:  -2.  This means that x does not change and also that y changes from -4 to 4.  The slope is undefined because division by zero is not defined:

m = (change in y) / (change in x) = 8/0:  undefined

Answer:

the answer would be 0.9

Step-by-step explanation:

when rounding anything under 5 remains the same and anything over 5 rounds up to the next number. in this case three is less than five so the 9 would remain the same

Answer:

B. negative

Step-by-step explanation:

it is on the negative side of the graph

Answer:

C.

Step-by-step explanation:

its c, undefined. remember that zero will be horizontal and undefined will be vertical like in this picture. hope this helped