What is the sum of 5x^2+3x-7 and 12x+12?

Answer:

ab

Step-by-step explanation:

Since the terms all have the variable ab then they are like terms.

Collect them by adding/subtracting the coefficients

ab(3 - 9 + 7)

= 1ab = ab ← the 1 is assumed

The expression 3ab - 9ab + 7ab simplifies to ab by combining like terms.

The student is asking to simplify the algebraic expression 3ab - 9ab + 7ab. This involves combining like terms. As all terms are multiples of ab, we can add and subtract them as coefficients:

3ab - 9ab + 7ab = (3 - 9 + 7)ab = 1ab = ab

The rules followed here are analogous to the rules of arithmetic addition and subtraction. This concept is fundamental as it provides a foundation for simplifying expressions and solving equations in algebra.

Answer:

y=-5x-10

3x-2y=-19

We can actually see here that the completed equations are:

1. y = -5x - 10

2. 3x - 2y = -19

To find the missing values in the equations such that the solution is (-3, 5), we substitute the values of x = -3 and y = 5 into the equations and solve for the missing values.

For the equation y = x - 10:

Substituting x = -3 and y = 5:

5 = -3 - 10

5 = -3__ - 10

5 + 10 = -3__

15 = -3__

__ = -5

Therefore, the missing value is -5. The completed equation is:

y = -5x - 10

For the equation 3x - y = -19:

Substituting x = -3 and y = 5:

3(-3) - 5 = -19

-9 - 5 = -19

-9 + 19 = 5

10 = 5__

__ = 2

Therefore, the missing value is 2. The completed equation is:

3x - 2y = -19

The completed equations are:

When x = -3 and y = 5, both equations will have a solution of (-3, 5).

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Answer:

Option C. [tex]\$34,252.67[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=18\ years\\ P=\$8,193\\ r=0.08\\n=6[/tex]  

substitute in the formula above  

[tex]A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67[/tex]  

when it rises in popularity so they can raise the price and people will pay more for it (eg freddos /-/)

or sometimes the item price increases because it has cost the company more to make the product (eg shipping fares) so they need to charge more so they can still earn a profit (like fuel?)

When the Production of any good in a Particular year, is in decline, and if that good is very much essential for Human Being, then the Price of that Commodity increases.

Usually most of Natural good that is found on earth is very essential for Human being. So, when production of that good Decreases, then Price of that Commodity increases.

Answer:

3.(-6,-8)

Step-by-step explanation:

y=x-2

2x+4=y

x-2=2x+4

x=2x+6

-x=6

x=-6

y=-6-2

y=-8

Step 1: Wherever you see a y in the equation: 2x + 4 = y insert x - 2

2x + 4 = x - 2

Step 2: Combine like terms

x's go with x's. To do this subtract the x from the right side to both sides

(2x - x) + 4 = (x - x) - 2

x + 4 = 0x - 2

x + 4 = -2

Normal numbers go with normal numbers (4 and -2). Bring the 4 to the right side by subtracting it to both sides

x + (4 - 4) = -2 - 4

x + 0 = -6

x = -6

Step 3: To solve y put -6 where you see an x in the equation: y = 2x + 4

y = 2(-6) + 4

y = -12 + 4

y = -8

(-6,-8)

Hope this helped!

Answer:

The area of the triangle is 24 square feet.

Step-by-step explanation:

To find the area of the triangle you have to multiply the base and height, and then multiply the answer with 1/2.

First, multiply the base of the triangle, which is 8 feet, with the height of the triangle, which is 6 feet. Then your answer will be 48 and you can multiply that with 1/2, or divide it by two. The final answer will be 24 square feet.

Answer:

Width =9 cm

Length =6 cm

Step-by-step explanation:

Let x be width, then length is x − 3

Let area be E. Then we have: E = x ⋅ (x −3)

54= x^2-3x

x^2-3x-54=0

We then do the Discriminant of the equation:

D=9+216

D=225

X1=3+15 over 2. which is 9

X2= 3-15. over 2. which is -6 Which is declined, since we can't have negative width and length.

Therefore x is 9. So width  

So width  = x = 9cm and length is x-3 = 9-3cm=6 cm

Answer with explanation:

For any system of linear equations, we can use a method called substitution method for solving the equations.

We make one variable, from either of the equations, the subject of that equation and substitute it in the other equation.

This way, we get to find the value of the remaining variable and next we substitute this value in one of the equations to get the value of the variable left.

Final answer:

To solve linear equations using substitution, identify the unknowns, isolate a variable in one equation, substitute into the other to solve for one variable, then back-substitute to find the other variable and check the solutions for accuracy.

Explanation:

Solving Systems of Linear Equations Using Substitution

To solve a system of linear equations using the substitution method, one must follow a series of steps. Step one is to identify what needs to be determined, which in this case, is the values for the variables, known as the unknowns. In step two, find an equation in the system where one variable can be easily isolated. Next, in step three, express this isolated variable in terms of the other variable.

Once you have this expression, you move to step four, where you substitute this expression into the other equation in the system. This allows you to solve for the one remaining variable, eliminating the need for the original substituted variable. After finding this value, you proceed to step five and substitute it back into the expression from step three to find the value of the other variable.

Step six is an important verification step - checking the solutions. Substitute the values found for both variables back into the original equations to ensure that they satisfy both equations. If they do, you have found the solution to the system. If not, you need to review your steps to find any possible mistakes.

Answer:

Step-by-step explanation:

2x - 2 > -6             add 2 to both sides

2x - 2 + 2 > - 6 + 2

2x > -4        divide both sides by 2

2x/2 > -4/2

x > -2

or

-2x < -12              change the signs

2x > 12             divide both sides by 2

2x/2 > 12/2

x > 6

We have x > -2 or x > 6. Therefore x > -2.

Answer: Equivalent

Step-by-step explanation:

When given a system of equations, the definitions of the solution are:

In the given graph, the lines are the same, which means they have INFINITE solutions --> The system is Consistent & Dependent = Equivalent

Answer:

(x, y) = (-2, 2)

Step-by-step explanation:

We are given the following two equations which we are to solve using the substitution method:

[tex]x - y = -4[/tex] --- (1)

[tex]x - 2y = -6[/tex] --- (2)

From equation (1):

[tex]x = y-4[/tex]

Substituting this value of x in (2) to get:

[tex]x = [tex]x - 2y = -6\\\\(y-4)-2y=-6\\\\-y=-6+4\\\\-y=-2[/tex][/tex]

y = 2

Substituting the value of y in (1) to get x:

[tex]x - y = -4[/tex]

[tex]x - 2 = -4[/tex]

[tex]x = -4 + 2[/tex]

x = -2

Therefore, (x, y) = (-2, 2).

The answer to your question is 443.2 as the mean is the average

Answer:

55.68 square units

Step-by-step explanation:

To fond the area of a circle of diameter 8.42, we are using the area formula for a circle:

[tex]A=\frac{1}{4} \pi d^{2}[/tex]

where

[tex]A[/tex] is the area of the circle

[tex]d[/tex] is the diameter of the circle

We know from our problem that the diameter of our circle is 8.42, so [tex]d=8.42[/tex]. Replacing the values in our formula:

[tex]A=\frac{1}{4} \pi d^{2}[/tex]

[tex]A=\frac{1}{4} \pi (8.42)^{2}[/tex]

[tex]A=55.68[/tex] square units

We can conclude that the area of a circle of diameter of 8.42 units is 55.68 square units.

Answer:

[tex]A\ =55.65 \: square units[/tex]

step-by-step explanation :

Area of a circle with diameter 8.42

The area of a circle is given as

[tex]A\ =\pi ({ \frac{d}{2} })^{2} [/tex]

where d is the diameter.

Substituting into the formula :

[tex]d = 8.42 \: unts \: [/tex]

[tex]\pi = 3.14[/tex]

This implies that,

[tex]A\ =3.14 \times ({ \frac{8.42}{2} })^{2}[/tex]

We simplify to obtain :

[tex]A\ =55.65 \: square units[/tex]

35-12=u/2

23=u/2

u=46

Answer

Answer:

The value of u is 46

Step-by-step explanation:

The given expression is;

[tex]35=\frac{u}{2} +12[/tex]

We multiply through by 2 to get;

[tex]2\times35=2\times \frac{u}{2} +12\times 2[/tex]

[tex]70=u +24[/tex]

Group similar terms to obtain;

[tex]70-24=u[/tex]

[tex]46=u[/tex]

The value of u is 46

Answer: 13.8%

Step-by-step explanation:

Percent error = approximate-exact/exact x 100

250-290/290 x 100 = |-13.8| = 13.8%

Answer:

>6x=25<

Step-by-step explanation:

You will take the numbers (however many) multiply them and then use the two signs (greater than less than) to figure which it is. For additional help ask your teacher :)

Thank of it this way:

2 > 1 : this means that this little Pac-Man want to eat the bigger number so it would be the same if you have

1 < 2 : here 2 it's still greater then 1

1/2 = 0.5 : here we don't have a pacman but you know that 1/2 It's actually 0.5

So now if you have:

2n > -4 [divide by 2]

n > -2

And if you have a (image) Then this means that x is greater that -2 but it's less than 1, so x would be between -2 and 1

Hope this helps, ask any questions if you have.

Answer:

sin a

Step-by-step explanation:

let the unknown term be x.

[tex]x.cos \: b = \frac{1}{2}(sin(a + b) + sin(a - b)) \\ or \: x = \frac{ \frac{1}{2} 2sinacosb}{cosb} \\ or \: x = sin \: a[/tex]

you have to remember that:

2sinAcosB=sin(A+B)+sin(A-B)

Answer:

Step-by-step explanation:

Just by looking at y = 3x + 2, we can see that the slope of the line representing this function is 3 and the y-intercept is 2 (or (0, 2) ).

Plot (0, 2).  Starting from that point, move your pencil 1 unit to the right and 3 units up, plotting another dot there.

Draw a straight line thru your two dots.

A table and graph that represents the linear function y = 3x + 2 is shown in the image below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Since the given linear equation y = 3x + 2 is in slope-intercept form, we would start by plotting its y-intercept on a graph;

y = 3(0) + 2

y = 2.

Lastly, we would use an online graphing calculator to plot the given linear equation for the values in its domain as shown in graph D attached above.

In conclusion, the slope of this linear equation y = 3x + 2 is equal to 3 and it does not represent a proportional relationship.

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The time it will take him to run 5 and 1/3 loops around the track is 4/3 hours.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Clay can run one lap around the track in 1/4 of an hour. The number of hours that takes him to run 5 and 1/3 laps around the track will be given as,

⇒ (5 + 1/3) x (1/4)

⇒ (16/3) x (1/4)

⇒ 4/3 hours

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The answer is 3. A, D, and C are vertical angles and match to the angle marked 70 degrees.

Answer:

A. 9 ft

Step-by-step explanation:

Given that volume of the pyramid = 90 cu. ft.

Given that area of the base of the pyramid = 30 sq. ft.

Now we need to find about what is the height of the pyramid.

So plug the given values into formula of the volume of the pyramid

[tex]volume=\frac{1}{3}\left(Base\ Area\right)\left(Height\right)[/tex]

[tex]90=\frac{1}{3}\left(30\right)\left(Height\right)[/tex]

[tex]90=\left(10\right)\left(Height\right)[/tex]

[tex]\frac{90}{10}=Height[/tex]

[tex]9=Height[/tex]

Hence correct choice is A. 9 ft

Answer:

20 ft

Step-by-step explanation:

The right triangles formed by Lance and his shadow and the tree and it's shadow are similar, hence the ratios of corresponding sides are equal.

Let the height of the tree be h, then

[tex]\frac{5}{h}[/tex] = [tex]\frac{8}{32}[/tex] = [tex]\frac{1}{4}[/tex]

cross- multiply to obtain

h = 5 × 4 = 20

The height of the tree is 20 ft

Answer:

20 feet

Step-by-step explanation:

5 feet Object = 8 feet shadow

8 feet shadow = 5 feet Object

8 feet shadow = 5 feet Object

1 foot shadow = 5 ÷ 8 = 5/8 foot object

1 foot shadow = 5/8 foot object

32 feet shadow = 5/8 x 32 = 20 feet object

The answer is probably 36

Answer:

The answer is 36 inches

Step-by-step explanation:

Since the rectangle is 9 inches long and the length is 4 inches wide and you need to find the area the formula is A=L*W so you would multiply 9 and 4 which gives you 36

Answer:

Negative + Negative = positive.

Positive + Positive= Negative

Negative + Positive= Negative

Step-by-step explanation:

What you solving is the first choice Negative + Negative = positive.

So positive is the answer of course!!!

Plz Mark Brainlistt!!!!! plzzzz

Answer:

False

Step-by-step explanation:

No solution. Incorrect equation. -2.5 -4.5 is = -7 which is NOT ≠ to 7

Answer:

line graph and it is a function

Step-by-step explanation:

It shows a specific spot on the map

The mapping diagram is a function because each element in the domain is mapped to exactly one element in the range.

The mapping diagram that represents the given relation is:

(-3, -6)

(-1, -6)

(5, -6)

(8, -6)

This is because each element in the domain (the x-values) is mapped to exactly one element in the range (the y-values).

Is the relation a function :

Yes, the relation is a function. A function is a relation in which each element in the domain is mapped to exactly one element in the range.

In this case, each x-value is mapped to exactly one y-value.

Example:

(-3, -6) is a function because -3 is mapped to exactly one y-value, which is -6.

(5, -6) is a function because 5 is mapped to exactly one y-value, which is -6.

Conclusion:

The mapping diagram that represents the given relation is a function.

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Complete question : 1. Identify the mapping diagram that represents the given relation and determine whether the relation is a function. {(–3, –6), (–1, –6), (5, –6), (8, –6)}

Final answer:

The expression x(x + 9) + 20x + 5 is equivalent to x² + 29x + 5.

Explanation:

To simplify the expression x(x + 9) + 20x + 5, we can distribute the x to both terms inside the parentheses:

x * x + x * 9 + 20x + 5

This simplifies to:

x² + 9x + 20x + 5

Combining like terms, we get:

x² + 29x + 5

Therefore, the expression x(x + 9) + 20x + 5 is equivalent to x² + 29x + 5.

Answer: Third option

The region shaded above a solid boundary line

Step-by-step explanation:

The limit for inequality [tex]y\geq\frac{1}{3}x[/tex] is the line [tex]y=\frac{1}{3}x[/tex].

Note that the inequality includes all values of y that are greater than or equal to the function [tex]f(x)=\frac{1}{3}x[/tex]. . This means that the region includes all values of y that are above the line [tex]f(x)=\frac{1}{3}x[/tex]. .

Remember that inequality includes values that are greater than or equal to the line [tex]f(x)=\frac{1}{3}x[/tex], therefore all values belonging to the limit line [tex]f(x)=\frac{1}{3}x[/tex], are also part of the region. This is represented by delimiting the region with a solid line

Finally the answer is the third option

Answer:

You never gave any options, but the right answer is 3-(x+1)=1/2(3x+4)

Step-by-step explanation:

Answer:

3 - (n - 1) = (1/2)(3n - 4)

Step-by-step explanation:

Next time, please share the possible answer choices. Thank you.

"three minus the difference of a number and one"

can be represented algebraicallyl as   3 - (n - 1), where n is the number.

"one-half of the difference of three times the same number and four” can be represented by (1/2)(3n - 4).

The desired equation is thus:

3 - (n - 1) = (1/2)(3n - 4)

The average cost of one box of candy is 2.35 per box

it’ll be $2.35 per box

How to find the answer:

14.10 divided by 6 = 2.35

Answer:

C

Step-by-step explanation:

Area (A) = length × width

A = 7 [tex]\frac{1}{2}[/tex] × 9 [tex]\frac{1}{8}[/tex]

Change both mixed numbers to improper fractions

7 [tex]\frac{1}{2}[/tex] = [tex]\frac{15}{2}[/tex]

9 [tex]\frac{1}{8}[/tex] = [tex]\frac{73}{8}[/tex]

Hence

[tex]\frac{15}{2}[/tex] × [tex]\frac{73}{8}[/tex]

= [tex]\frac{15(73)}{2(8)}[/tex]

= [tex]\frac{1095}{16}[/tex]

= 68 [tex]\frac{7}{16}[/tex]

Answer:

= 68 7/8

Step-by-step explanation:

I think it's correct