Find (x + 4)(x2 + x - 2). Write your answer in standard form.
Answer please

Answer:

2

Step-by-step explanation:

x^2+6x+7

(-5)^2+6(-5)+7

(-5)(-5)-30+7

25-30+7

-5+7

2

Value of C = 25 when d = 625

Square root is denoted by operator√. It is a factor which can be multiplied. When a square root of a particular number is multiplied by itself, we get the original number. As example, square root of 12 is √12 is multiplied by √12 and we get (√12) ² = 12.

What is the value of C when d = 625?

As per question, C varies directly as the square root of d.

C = 16 when d = 256

C = √d

√d = √256

√d = 16

when d = 625

the value of C will be,

C = √d

C =√625

C = 25

When, d = 625, the value of C =25

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The linear equation best estimate of the difference between the number of yellow and blue paper clips is option(b).

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables.

Number of yellow paper clips found in one box = 27955

Number of blue paper clips found in another box = 9427

We are asked to find the best estimate of the difference in the number of yellow and blue paper clips that Kimberly found.

The actual difference between the number of yellow and blue paper clips = 27955 - 9427 = 18528

An estimate of a number means the closest number that the actual number can be rounded off for simplifying calculations or understanding.

In this case, from the given options the closest number of 18528 is 19000.

Therefore option(b) is the best estimate of the difference between yellow and blue paper clips.

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Answer:

No -- histograms are generally divided into range groups, as seen in this graph, and we therefore cannot separate the cars who got 20 mpg relative to cars who got, for example, 21 mpg

Answer: 70 cars.

Step-by-step explanation: At 0 - 5 miles per gallon there are 0 cars. At 5 - 10 miles per gallon there are 15 cars. At 10 - 15 miles per gallon there are 20 cars. At 15 - 20 miles per gallon there are 35 cars. So the total cars at 0 - 20 miles per gallon = 0 + 15 + 20 + 35 70 cars.

A number is -7 less than nine divided by 4, which results in a number of -19.

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.

Positional notation was separately established by a number of civilizations, including the Aztecs, Chinese, and Babylonians. Indian mathematicians developed a decimal (or base ten) positional system in the seventh century that could express any number using just ten special symbols.
Suppose r is a number.
(r-9)/4 = - 7
r-9 = -28
r = -28+9
r = -19

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Answer:

-3y(5y^3 - 4y + 3)

Step-by-step explanation:

-15, 12, -9 have a common factor of -3.

y^4, y^2, y have a common factor of y.

Factor out -3y.

-3y(5y^3 - 4y + 3)

Answer:

five thousand seven hundred and eighty-nine

Step-by-step explanation:

Answer:

y = -2/3x - 6

Slope is a measure of steepness of a line. In Algebra 1, It is how much the y-value changes when the x-value increases by 1.

Slope Formula:

Take any 2 points on the line and plug in:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

y-intercept is the y-value of the line when it intersects with the y-axis, or the y-value of the line when the x-value of the line is 0.

y = mx + b

y and x stay as variables when graphing the equation and are only substituted when solving for values such as the x-intercept.

m is the slope and b is the y-intercept.

First, examine the graph. When does the graph have an x-value of 0 and intersects the y-axis, what is the y-value of the line?

-6

y = mx - 6

Then, lets get 2 points from the graph. You can use any 2 points.

(-6,-2)

(0,-6)

Plug into the formula.

[tex]\frac{-6-(-2)}{0-(-6)}[/tex]

[tex]\frac{-4}{6}[/tex]

[tex]-\frac{2}{3}[/tex]

y = -2/3x - 6

Therefore , the solution of the given problem of quadratic equation comes out to be  x =-2 and x = -7 .

A single variable equations regression model is the quadratic equation x = ax2 + bx + c=0. a 0. This polynomial has precisely one solution, as stated by the First Theorem in Algebra, due to its second order. Simple or sophisticated solutions are both possible. An equation with four variables is referred as a quadratic formula. This suggests that there must be at most one squared word in it. "ax2 + bx + c = 0" is a common formula for solving arithmetic problems, where the mathematical factors or constants a, b, and c stand for the unknown variable "X."

Here,

Given : x² + 9x + 14 = 0

=> x² + 7x + 2x + 14 = 0

=> x(x + 7) + 2(x+7)

=> (x+2)(x+7)

=> x =-2 and x = -7

Therefore , the solution of the given problem of quadratic equation comes out to be  x =-2 and x = -7 .

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Answer:

$313.98

Step-by-step explanation:

[tex]Equation: A=P(1+\frac{r}{n} )^{nt} \\\\A=12000(1+\frac{0.0375}{12} )^{12(5.5)} \\\\A=12000(1+0.003125)^{66} \\\\A=12000(1.003125)^{66}\\\\A=12000(1.228665)\\\\A=14743.98\\[/tex]

So to see the difference of account balances we would subtract offer 1 balance from offer 2 balance.

14743.98-14430 = 313.98

So, therefore the difference in the account balances at the end of the loan terms is $313.98.

Note: the 5.5 comes from converting 66 months to years which is 5.5

On the map distance between two cities is 19.2 inches.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

The actual distance between Danton and Crowley is 672 miles.

Here, the scale factor is 1 inch =35 miles

So, on map distance = 672/35

= 19.2 inches

Therefore, on the map distance between two cities is 19.2 inches.

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Following answers for transformation of f(x) to g(x) are:-

A. First transformation addition of value k in f(x)

    Second transformation subtraction of value k in g(x)

B.  Values of k in each transformation are respectively +18 & -18

C.  An equation for each type of transformation are respectively, f(x) = 3x-1 &  g(x) = 3x+17

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

m = change in y coordinate/change in x coordinate = Δy/Δx

Given points,    

f(x) passes through, (0, -5) & (5, 14)

g(x) passes through, (-6, -1) & (-1, 14)

A.  By slope formula, we can calculate slope of both the lines

m₁ = 3

m₂ = 3

Slopes are equal, So changing intercepts we can transform f(x) into g(x)

we can do it by two ways,

First transformation addition of value k in f(x)

Second transformation subtraction of value k in g(x)

B. We can see in graph difference between intercepts is 18,

So in, First transformation addition of value +18 in f(x)

Second transformation subtraction of value -18 in g(x)

C.  we have given two points for each linear function, So by using two points form of straight line, we can write following equations

1.  f(x) = 3x-1

2. g(x) = 3x+17

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In naming a covalent compound, you can tell how many of each atom are present from the prefix in the name.

The process of identifying binary (two-element) covalent compounds is similar to that of naming simple ionic compounds. The first element in the formula is simply specified using its name. The second element is named by taking the element name's stem and appending the suffix -ide.

The subscript, which is where the x in Ax is located.

This indicates how many atoms of that particular element or group are present in the compound.

In H2O, for example, there are two hydrogen atoms. There are two NO3 ions in Be(NO3)2.

The number of neutral atom bonds equals the number of electrons in the complete valence shell (2 or 8 electrons) minus the number of valence electrons.

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The limit of lim t→0+ cos(t), cos(t), [tex]t^3[/tex] ln(t) as t approaches 0 from the right is not defined.

The limit of the function lim t→0+ cos(t), cos(t), [tex]t^3[/tex] ln(t) as t approaches 0 from the right is not defined.

The limit of cos(t) and [tex]t^3[/tex] ln(t) is zero as t approaches zero from the right. However, the limit of cos(t) as t approaches zero from the right is not defined. This is because the cosine function oscillates between -1 and 1 as t approaches zero, and therefore it does not approach a specific value. The limit of the entire function is undefined, as one of the components of the function is undefined.

It's important to note that if you have differentiability conditions, you can use L'Hopital's rule to find the limit, but in this case, L'Hopital's rule can't be applied since the function is not differentiable at t = 0.

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Step-by-step explanation:

this is a college level question ? elementary school students must be able to solve this.

the perimeter of a rectangle is

2×length + 2×width

as when you walk around a rectangle one full time, you have to walk the long side twice and the short side twice - it has 4 sides, you know.

other words for length : base, ...

other words for width : height, breadth, ...

so, we know

56 = 2×12 + 2×base = 24 + 2×base

now we can make it totally simple right away and divide everything by 2

28 = 12 + base

16 = base

the base (or length) is 16 cm.

Answer: Divide the integer by 9 to equal 3/4

Step-by-step explanation:

48 and 24 are the numbers that the ratio equivalent to 16:8. Its simplified form would 2:1 or simply 2.

By dividing two quantities of the same type, we can compare them. This process is known as a ratio. How many times one quantity is equal to the other is revealed by this relationship. The ratio is the number that can be used to represent one quantity as a percentage of another, to put it simply.

A ratio's two numbers can only be compared if they share the same unit. To compare two things, we use ratios. The ratio sign is represented by the letter ":".

To Find the number that makes the ratio equivalent to 16:8

Simply multiply any number with both 16 and 8 i.e.

16 × 3 = 48

8 × 3 = 24

When you simplify them you get 16:8,

Thus, 48 and 24 are the numbers that the ratio equivalent to 16:8.

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The first responder is exactly correct in order to find the answer you must divide the gas cost by the amount of gallons (which in this case is 5 gallons.

$17.50 / 5 = $3.50 per gallon.

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Answer:hi the question isnt rlly that clear i could give u an answer if u explain a bit thx !

Step-by-step explanation:

The first sample's index and K (interval) value, which are both equal to 7 - 2 = 5, the 10th sample's index is 25 because 33 - 8 .

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

Decide on your sample size and multiply your population by your chosen sample size to find your interval, k.

the first sample's index and K (interval) value, which are both equal to 7 - 2 = 5, the 10th sample's index is 25 because 33 - 8

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The percentage under the density curve where x is more than 3 is given as follows:

100%.

A percentage under the density curve is obtained by the area under the density curve that respects the given features.

The area for which x is more than 3 is composed by all the area of the density curve that is to the right of 3.

The area to the right of 3 is composed as follows:

The area of a right triangle is given by half the multiplication of the sides, hence:

At = 0.5 x 1 x 0.4 = 0.2 units squared.

The area of a rectangle is given by the multiplication of dimensions, hence:

Ar = 2 x 0.8 = 0.8 units squared.

Meaning that the total area is given as follows:

A = At + Ar

A = 0.2 + 0.8

A = 1 unit squared.

Meaning that the percentage is of 1 x 100% = 100%.

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On solving the provided question, we can say that coordinates are (-2,2) and (0,-2), inequality equation will be => y[tex]\leq[/tex] -2x + 2

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

as here,

coordinates are (-2,2) and (0,-2)

inequality equation will be

y[tex]\leq[/tex] -2x + 2

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Answer:

b

Step-by-step explanation:

Answer:b

Step-by-step explanation:

if a was a yellow banana and b a green one, and there was only one banana, (yellow). The green ones gone so its -b

The new coordinates of the triangle after the dilation by a factor of 2 would be (4,-6), (4, -12), (8,-6)

What is Dilation?

Dilation is a process for creating similar figures by changing the size.

A dilation by a factor of 2 means that each coordinate value will be multiplied by 2.

So the new coordinates of the point (2, -3) would be (2 x 2, -3 x 2) = (4, -6)

The new coordinates of the point (2, -6) would be (2 x 2, -6 x 2) = (4, -12)

The new coordinates of the point (4, -3) would be (4 x 2, -3 x 2) = (8, -6)

Thus, the new coordinates of the triangle would be (4,-6), (4, -12), (8,-6).

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Answer:

a)  D [y = 6x + 7]

Step-by-step explanation:

First, subtract 6x from both sides to isolate the -y by itself.

6x - y = -7 becomes

-y = -6x -7

Next, to get it into slope-intercept form, we must make the y positive.

To do this, we must multiply both sides of the equation by -1

The equation now becomes:

y = 6x + 7 [Giving us our final answer in y=mx+b form]
-------------------------------------------------------------------------------------------------------------

b) A [6]

The reason the slope is 6 is because in slope-intercept form, the coefficient in front of the x is the slope. That number is 6, as seen above, meaning that the slope is 6.

Hope this helped!

Answer: 24.28

Step-by-step explanation:

24.275 can be rounded to 24.28