16x2 – 8x = ?
Which expression is the result of factoring

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

21,25,29,33

Step-by-step explanation:

Answer:

21;25;29;33;37

Step-by-step explanation:

its a sequence of adding 4

Answer:

291

Step-by-step explanation:

2*2*2=8*2=16

16+(11*5*5)=291

Answer:

291cm^3

Step-by-step explanation:

11×5×5=275cm^3

2×2×2=8cm^3

8cm^3 + 8cm^3= 16cm^3

275+16=291cm^3

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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Answer: y=23

Step-by-step explanation:

If Points and A,B and C lines on the same line then they will have the same slopes so since we have the coordinates of  A and B we will use the to write an equation in slope intercept form.

To write it in slope intercept form we will need to find the slope and the y intercept.

To find the slope you will find the change in the y coordinates and divide it by the change in the x coordinates.

Using the coordinates (-1,7) and (2,19)  the y coordinates are 7 and 19 and the x coordinates are -1 and 2.

Slope :  \(\frac{7-19}{-1-2} \frac{-12}{-3} = 4\)   In this case the slope is 4 so we will use that to find the y intercept by using point A coordinate.

  The slope intercept formula says that y=mx +b  where me is the slope and b is the y intercept.

 7=4(-1) + b  

7 = -4 + b

+4   +4

 b= 11       The y intercept is 11.

Now we can write the whole equation as y=4x + 11   .

To answer the question now, where we need to find y , we will plot the x coordinate which is 3 into the equation and solve for y.

 y = 4(3) + 11  

y = 12 + 11

 y = 23

Answer: The smallest integer value of x in the solution is 1.

Step-by-step explanation:

The given inequality: \(-3x+10\leq5\)

To solve the inequality, we first subtract 10 from both sides

\(-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5\)

Multiply negative sign on both sides ,we get

\(3x\geq5\)

Divide both sides by 3, we get

\(x\geq\frac{5}{3}\)

i.e. \(x\geq 1.6666666667\\\)

\(x\geq1\)

Hence, the smallest integer value of x in the solution is 1.

Answer:

9-2b

Step-by-step explanation:

Set up equation:

\(9 - 8b + 6b\)

Add like terms

\(9 - 2b\)

Answer:

6.0

Step-by-step explanation:

practice many times

Answer:

0.46846846846

Step-by-step explanation:

if fraction was 416/888 thats the answer....

Answer: 18(a)-89=217

Step-by-step explanation:

If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.

Hope this helped.

Answer:217

Step-by-step explanation:

putting the value of a in the equation.

18×17-89= 217

Answer:

0.04

Step-by-step explanation:

2(people who said yes) / 50(total amount) =0.04

Answer:

abcdefghijklmnopqrstuvwxyz now i know my abc's next time wont you sing with me!!!!!!

Step-by-step explanation:

Answer:

The rule for a rotation by 180° about the origin is (x,y)→(−x,−y).

Step-by-step explanation:

The rotation of angle 180 degree about origin is described below.

Rotation 180° about the origin is a geometric transformation that involves rotating a figure or shape around the point (0,0),

Also known as the origin, by an angle of 180 degrees.

This means that every point on the shape is moved to an equal distance away from the origin but on the opposite side of the origin.

This transformation is a reflection where the shape is flipped along,

the x-axis or y-axis or both, depending on the shape's orientation.

The rotation 180° about the origin is a common transformation in various geometrical applications, such as computer graphics, engineering, and physics.

It is a simple transformation that can be easily represented and performed using matrices or complex numbers.

Therefore,

rotation 180° about the origin is a geometric transformation that is important in various applications and involves rotating a shape around the origin by an angle of 180 degrees, resulting in a reflection of the shape across the x or y-axis.

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Answer:

4

Step-by-step explanation:

44d

Answer:

D. \(f(x) = 2\cdot x^{2}-4\cdot x -16\)

Step-by-step explanation:

Any parabola is modelled by a second-order polynomial, whose standard form is:

\(y = a\cdot x^{2}+b\cdot x + c\)

Where:

\(x\) - Independent variable, dimensionless.

\(y\) - Dependent variable, dimensionless.

\(a\), \(b\), \(c\) - Coefficients, dimensionless.

In addition, a system of three linear equations is constructed by using all known inputs:

(-2, 0)

\(4\cdot a -2\cdot b + c = 0\) (Eq. 1)

(4, 0)

\(16\cdot a + 4\cdot b +c = 0\) (Eq. 2)

(0,-16)

\(c = -16\) (Eq. 3)

Then,

\(4\cdot a - 2\cdot b = 16\) (Eq. 4)

\(16\cdot a + 4\cdot b = 16\) (Eq. 5)

(Eq. 3 in Eqs. 1 - 2)

\(a - 0.5\cdot b = 4\) By Eq. 4 (Eq. 4b)

\(a = 4 + 0.5\cdot b\)

Then,

\(16\cdot (4+0.5\cdot b) + 4\cdot b = 16\) (Eq. 4b in Eq. 5)

\(64 + 12\cdot b = 16\)

\(12\cdot b = -48\)

\(b = -4\)

The remaining coeffcient is:

\(a = 4 + 0.5\cdot b\)

\(a = 4 + 0.5\cdot (-4)\)

\(a = 2\)

The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is \(f(x) = 2\cdot x^{2}-4\cdot x -16\). Thus, the right answer is D.

Answer:

D ƒ(x) = 2x2 – 4x – 16

Step-by-step explanation:

Therefore, a sample size of at least 962 students should be taken to get a distribution of means of the samples with a standard deviation of 10.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It indicates how much, on average, the individual data points deviate from the mean of the dataset. A smaller standard deviation indicates that the data points tend to be closer to the mean, while a larger standard deviation indicates that the data points are more spread out. The standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences of each data point from the mean.

Here,

To calculate the sample size required to get a distribution of means with a standard deviation of 10, we can use the formula:

n = (z * σ / E)²

where:

n = sample size

z = z-score (corresponding to the desired level of confidence)

σ = population standard deviation

E = desired margin of error (which is the standard deviation of the distribution of sample means)

In this case, we want a distribution of means with a standard deviation of 10, so E = 10.

To determine the z-score, we need to choose a level of confidence. Let's say we want a 95% level of confidence, which corresponds to a z-score of 1.96.

Plugging in the numbers we have:

n = (1.96 * 70 / 10)²

n = 961.54

We can't have a fractional sample size, so we need to round up to the nearest whole number:

n = 962

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Answer:

The answer is below

Step-by-step explanation:

A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0​ (poorest rating) to 9​ (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year​ 2020, the engineers forecast that 4​%of all major bridges in that city will have ratings of 4 or below.

a. Use the forecast to find the probability that in a random sample of major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020.

Answer:

This problem is a probability binomial distribution and it can be solved using the formula:

\(P(X=x)=C(n,x)p^xq^{n-x}\\\\q=1-p,C(n,x)=\frac{n!}{x!(n-x)!}\)

Hence the solution to the problem is given as:

P(x ≥ 3) = 1 - P(x < 3) = 1 - [ P(x=0) + P(x=1) + P(x = 2)]

Given that p = 4% = 0.04, q = 1 - p = 1 - 0.04 = 0.96, n = 10. Hence:

\(P(x=0)=C(10,0)*0.04^{0}*(0.96)^{10-0}=0.6648\\\\P(x=1)=C(10,1)*0.04^{1}*(0.96)^{10-1}=0.277\\\\P(x=2)=C(10,2)*0.04^{2}*(0.96)^{10-2}=0.0519\\\\P(x\geq 3)=1-[0.6648+0.277+0.0519]=0.0063\)

Answer:

angle 2

Step-by-step explanation:

they aren't equal.

Angle 3 is not equal to angle 2.

Properties of Parallel Lines Cut by a Transversal

For the parallel lines cut by a transversal, the following properties hold true:

As,

angle 3 = angle 1    (Corresponding angle)

angle  3 = angle 6  ( alternate interior angle)

angle 3= angle 8  (vertically opposite angle)

But there is no relation between angle 3 and angle 2.

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Answer:=

1 7/18

Step-by-step explanation:

Turn the improper fraction into a mixed fraction.

Answer:

2x+2y=52

x*y=120

Step-by-step explanation:

An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer:

I think the answer is B

Step-by-step explanation:

1.2 * 10^6 is 1,200,000

1.38 * 10^7 is 13,800,000

you just have to divide 13,800,000 by the numbers until you get to 1,200,000. So, 13,800,000 / 11.5 is 1,200,000

Hope this helps! Have an amazing day :)

Answer:

11.5

Step-by-step explanation:

we will need to divide both of them

1.38 × 10^7 ÷ 1.2 × 10^6

1.38÷1.2 × 10^7-6

= 1.15 × 10¹

= 11.5

The sequence is will always have even numbers, is hence proved.

Given, the quadratic sequence is: 44:52:64:80

Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.

The formula is: Tₙ = 2n² ₊ 2n  ₊ 40

take 2 common

Tₙ = 2(n² ₊ n  ₊ 20)

in other words n² ₊ n  ₊ 20  = y

therefore , Tₙ = 2y

which by definition makes Tₙ an even number at all times.

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Answer:

5/3

Step-by-step explanation:

5/3 is 1.67 away from zero, compared to 0.27 0.25 and 1.1

The company will be able to purchase enough pens while staying within the budget by purchasing 10 mugs only not more than that.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

A company has a budget of $305

Company needs to purchase either a mug or a pen for each of its 100 clients.

Price per Mug $5.55 Price per Pen $2.50

Now,

Price of pen = 100*2.50=250

When the number of employees are 10

=10*5.50=55.0

Mugs can be purchased

When the number of employees are 15

=15*5.50=82.5

Mugs cannot be purchased

Therefore, by algebra the answer will be 10 mugs only.

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The equation is y =  \(\frac{1}{4}\)x + 37

74.5 warm is it when the crickets are chirping 150 times a minute.

Let

x = chirps, y = degrees

When crickets chirp 124 times a minute, it is about 68 degrees Fahrenheit.

So when x = 124, y = 68.  So the graph of the equation contains the point

(124,68)

When they chirp 172 times a minute, it is about 80 degrees Fahrenheit.

So when x = 172, y = 80.  So the graph of the equation contains the point

(172,80)

We assume the graph of the equation is a straight line.

So we use the slope formula to find the slope of the line

m = \(\frac{y2 - y1}{x2 - x1}\)

m = \(\frac{80-68}{172-124}\)

m = \(\frac{12}{48}\)

m = \(\frac{1}{4}\)

We use the point-slope equation:

y - y1 = m(x - x1)

y - 68 =  \(\frac{1}{4}\)(x - 124)

y - 68 =  \(\frac{1}{4}\)x -  \(\frac{1}{4}\)(124)

y - 68 = \(\frac{1}{4}\)x - 31

y =  \(\frac{1}{4}\)x + 37

Substitute x = 150:

y =  \(\frac{1}{4}\)(150) + 37

y = 37.5 + 37

y = 74.5

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Answer:

11.11% repeating or 5% if it can be anything between 1 and 20