Find DE
3x - 28
3x - 30
D
G
E
F
33

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

Answer:

5/54

Step-by-step explanation:

Substitute 8 for X, then solve

-5 / 8 (-8) + 10

-5 / -64 + 10

-5 / -54

5/54

Answer: 24.28

Step-by-step explanation:

24.275 can be rounded to 24.28

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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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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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:

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:

1. HK = 24

2. x = 13

3. x = -26

4. ∠ABC = 120°

Step-by-step explanation:

(1) In all parallelograms, the diagonals bisect each other, or split each other into two congruent (same) halves.

We are given parallelogram HJKL. Its diagonals are HK and JL, because they both are segments that connect two opposite vertexes.

This means that HK and JL are bisected.

Thus, HM is half of HK.

Let's make an equation to represent this situation and solve for HK.

[tex]HM = \frac{1}{2}HK[/tex]

⇒ [tex]12 = \frac{1}{2}HK[/tex] . . . . . . substitute known values

⇒ [tex]12(2) = \frac{1}{2}HK(2)[/tex] . . . . . . multiply the LHS and RHS by 2 to isolate HK

⇒ ∴ [tex]24 = HK[/tex] . . . . . . compute

(2) This problem is similar to #1, so we can use the same concepts as #1.

However, we are given an expression instead of integers.

The only thing that's different about this problem is that we need to solve for x, not a diagonal or part of a diagonal.

VX and UW are the diagonals of parallelogram UVWX.

Thus, VX and UW are bisected.

Thus, the VY and YX are the same length, because they are split in half.

Let's make an equation to represent this situation and solve for x.

[tex]VY = YX[/tex]

⇒ [tex]80 = 6x + 2[/tex] . . . . . . substitute the known values

⇒ [tex]78 = 6x[/tex] . . . . . . . . . subtract 2 from the LHS and RHS

⇒ ∴[tex]13 = x[/tex] . . . . . . . . . divide both sides by 6 to isolate x

(3) This problem uses the exact same concepts and steps as #2.

Thus, RS and SP are the same length.

Let's make an equation to represent this situation and solve for x.

[tex]RS = SP[/tex]

⇒ [tex]65 = -2x - 7[/tex] . . . . . . . . substitute the known values

⇒ [tex]72 = -2x[/tex] . . . . . . . . . . . add 7 to the LHS and RHS

⇒ ∴[tex]-36 = x[/tex] . . . . . . . . . . . divide both sides by -2 to isolate x

(4) In a parallelogram, the opposite angles are congruent (the same).

In parallelogram ABCD, we are given ∠CDA and asked to solve for ∠ABC.

∠ABC and ∠CDA are opposite angles.

∠CDA = 120°

∠ABC = ∠CDA

∴ ∠ABC = 120°

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The parallelogram HJKL is handed to us. The segments HK and JL, which both link two vertexes that are in opposition to one another, serve as its diagonals, triangle HK = 24;  x = 13;  x = -26; ∠ABC = 120°

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

All parallelograms have diagonals that cut them in half or divide them into two congruent (same) halves.

HK = 24, x = 13, x = -26, and ABC = 120 degrees.

The parallelogram HJKL is handed to us. The segments HK and JL, which both link two vertexes that are in opposition to one another, serve as its diagonals.

As a result, HK and JL are divided. HM therefore makes up half of HK.

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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

===========================================

Work Shown:

A = final value = 38750

P = amount loaned = 25000

i = interest

i = A - P = 38750 - 25000 = 13750

Now apply the simple interest formula to solve for t.

i = P*r*t

13750 = 25000*0.055*t

13750 = 1375*t

t = 13750/1375

t = 10 years to pay off the loan

Side note: r = 0.055 is the decimal form of 5.5%

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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Jack worked 40 hours a week with fractions of something because he had been employed at the time.

To represent a whole, any number of equal parts or fractions can be utilized. In standard English, fractions show how many units there are of a particular size. 8, 3/4. Fractions are part of a whole. In mathematics, numbers are stated as a ratio of the numerator to the denominator. These can all be expressed as simple fractions as integers. A fraction appears in a complex fraction's numerator or denominator. The numerators of true fractions are smaller than the denominators. A sum that is a fraction of a total is called a fraction. You can analyze something by dissecting it into smaller pieces. For instance, the number 12 is used to symbolize half of a whole number or object.

given

40-hour work week

jack worked 40  hours in a week

Jack worked 40 hours a week with fractions of something because he had been employed at the time.

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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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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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Answer:

five thousand seven hundred and eighty-nine

Step-by-step explanation:

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:

$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

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)

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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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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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 value of the expression (x - 5y) at y = 5 and x = 47 will be 22.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (x - 5y)

The value of the expression at y = 5 and x = 47 will be given as,

⇒ 47 - 5 (5)

⇒ 47 - 25

⇒ 22

The value of the expression (x - 5y) at y = 5 and x = 47 will be 22.

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The complete question is given below.

y = 5 and x = 47. Find the value of the expression (x - 5y).

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

Step-by-step explanation:

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.

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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A degree 6 polynomial results from multiplying a degree 2 polynomial by a degree 4 polynomial.

In algebra, a symbol (typically a letter) denotes an unknown numerical value in a formula or algebraic expression. A quantity that can be changed and is not fixed is known as a variable. Numeric and category variables are the two main types. Subcategories are then established for each category for categorical and numerical variables, respectively, using nominal or ordinal and discrete or continuous categories. A brief summary of various types is provided in this section. a metric that is open to a wide range of interpretations. a component of a scientific experiment that may be subject to change; the sign of a variable; something that is variable.

given

The first step is to multiply the first term inside the first parenthesis by each term inside the second parentheses.

The second term in the first parenthesis is now multiplied by every phrase in the second parentheses, and the results are then added to the first terms.

A degree 6 polynomial results from multiplying a degree 2 polynomial by a degree 4 polynomial.

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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.