PLEASE HELP
3/4x - 7 = 3 (1/6x +1)

Solve the linear equation and determine whether it’s one solution or infinite solution or no solution

9514 1404 393

Answer:

  143 in²

Step-by-step explanation:

The figure is dimensioned in such a way that it can be divided easily into three rectangular areas. The top rectangle is 10 in wide and 7 in high. The vertical rectangle below that is 4 in wide and 12 in high, and the square appendage on the right is 5 in square.

Then the total area is the sum of products of length and width:

  A = (10 in)(7 in) + (4 in)(12 in) + (5 in)(5 in) = (70 +48 +25) in²

  A = 143 in²

The area of the irregular figure is 143 in².

Answer:

Interest in one month= 556.88

Her balance is reduced by= 381.6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Hi there,

In order to solve this expression, you need to substitute x for 1.

You will end up with this expression:

3([tex]1^{2}[/tex]) - 2(1) + 1

Now, simplify the expression.

⇒ 3 - 2 + 1

⇒ 1 + 1

⇒ 2

Therefore, the answer when we evaluate the polynomial for x = 1 is 2.

Answer:

I'm sure it's already all the way simplified since there are no common terms

I could he wrong but I dont think theres anything more you can do since they are all their own different term

Step-by-step explanation:

for example if it was 7x-2x-1 then you would subtract 7x and 2x and then it would come put to be 5x-1

hope this helped at all

Answer:

If you share 7 apples equally with 3 people, then there are 2 1/3 apples per person.

The number 2 represents the number of whole apples each individual gets.

The denominatior, 3, represents how many times an apple will have to be split to divide equally

The numerator, 1, represents how many 3rds each person gets.

Answer:

yeah the links are anoying

Step-by-step explanation:

the answer is C

mark brainliest or add heart and 5 stars or both

Answer:

Step-by-step explanation:

Total songs = 8 + 4 + 2 = 14 songs

number of rock songs = 2

Number of rap songs = 4

Probability of rock songs = 2/14 = 1/7

Probability of rap songs = 4/14 = 2/7

Answer:

10,000

Step-by-step explanation:

620,000/62 = 10,000

Answer:

[tex]\displaystyle y' = \frac{5x^2 + 3}{3(1 + x^2)^\bigg{\frac{2}{3}}}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Algebra II

Calculus

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]:                                                              [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                            [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                       [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Logarithmic Derivative:                                                                                                [tex]\displaystyle \frac{d}{dx} [lnu] = \frac{u'}{u}[/tex]

Implicit Differentiation

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = x\sqrt[3]{1 + x^2}[/tex]

Step 2: Rewrite

Step 3: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Implicit Differentiation

Book: College Calculus 10e

Answer:

He would save $4.40

Step-by-step explanation:

And in total he would pay 17.60

Answer:

y=6x+9

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

Answer:

85

Step-by-step explanation:

Find the average of 100 and 70 which is 100 + 70 = 170/2 = 85

The value of angle m ∠ AED is,

⇒ m ∠ AED = 85 degree

We have to given that,

In the accompanying figure,

Chords AB and CD of circle O intersect at E.

And, m AD=100 and m CB=70.

Now, By given figure, we get;

⇒ m ∠ AED = (m AD + m CB) / 2

⇒ m ∠ AED = (100 + 70)/2

⇒ m ∠ AED = 170 / 2

⇒ m ∠ AED = 85 degree

Thus, The value of angle m ∠ AED is,

⇒ m ∠ AED = 85 degree

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Answer:

25 feet

Step-by-step explanation:

Use the pythagorean theorem, where the width and length of the pool are the legs of the triangle.

Solve for c, the hypotenuse/diagonal

a² + b² = c²

15² + 20² = c²

225 + 400 = c²

625 = c²

25 = c

So, the length of the diagonal is 25 feet

Answer:

A) 12 thousand packets a day

B) 384 thousand Sen

Step-by-step explanation:

If the total is 72 thousand a week and the factory only operates 6 days, then you do 72 thousand / 6 to get 12 thousand, the packets made in one day.

To get b, all you have to do is do 32 Sen X 1w thousand to get the value of all the packets of chips

80m, you kind of distribute so 8 times 10m is 80m

Answer:

no solution

Step-by-step explanation:

the value of 3x+2y can't be two different things at once

Answer: no solutions

Step-by-step explanation:

when the two equations have the same x and y values but a different y intercept they can not have any solutions because they are parallel

Answer:

[tex]Area = 8[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Determine the area

The shape is a trapezium. So, the area is:

[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]

From the attached,

The height is 2

The parallel sides are: 2 and 6

So, the area is:

[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]

[tex]Area = \frac{1}{2} *8 * 2[/tex]

[tex]Area = 8[/tex]

Hence, the area is 8 units square

Step-by-step explanation:

side length(a)=5yd

slant height(l)=7yd

vertical height(h)=?

Now,

h2=(l)2+(a/2)2

h=find it

Then,

T.S.A.=a2+2al

Surface area of square pyramid is 95 square yard.

The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.

So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.

Given

Length = 5 yd

Slant height = 7 yd

Surface area of square pyramid = 4 (Area of triangle) +  area of square

S = [tex]4\frac{1}{2}bh+side^{2}[/tex]

S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]

S = 70 + 25

S = 95 square yard.

Hence, Surface area of square pyramid is 95 square yard.

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Answer:

3 • (2xy - 7) • (xy + 2)

Step-by-step explanation:

(((2•3x2) • y2) -  9xy) -  42

6x2y2 - 9xy - 42  =   3 • (2x2y2 - 3xy - 14)

The complete factorization of 6x^2y^2-9xy-42 is 3 (2x^2y^2 - 3xy - 14).

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The given expression is

[tex]6x^2y^2-9xy-42[/tex]

= [tex](((2\times3x^ 2) \times y^2) - 9xy) - 42[/tex]

The factorized form will be

=  [tex]3 (2x^2y^2 - 3xy - 14)[/tex]

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Answer:

Step-by-step explanation:

There are several things we need to know to solve this: the perimeter formula of a rectangle, the area formula of a rectangle, and how to complete the square to find the answer. First of all, if the farmer has 148 feet of fencing to enclose 3 sides of a rectangle, the perimeter formula we need will include only 3 sides, the 2 widths and the 1 length:

P = 2w + l; solving for l and filling in our length of fencing gives us:

l = 148 - 2w

The area then for this will be:

A = (148 - 2w)(w) which is the same thing as length times width (area for a rectangle). Multiplying that out gives us:

[tex]A=148w-2w^2[/tex]. Let's rearrange that and put it into descending order so we can complete the square on it:

[tex]A=-2w^2+148w[/tex]

The reason we want to complete the square is because the answer that results from that will give us the dimensions of the rectangle (the width and the length) and also the area. Completing the square maximizes (or minimizes) area.

To complete the square, first factor out the -2 since the leading coefficient when you complete the square has to be a +1. When we do that we get:

[tex]A=-2(w^2-74w)[/tex]. Set it equal to 0 so we can factor it:

[tex]-2(w^2-74w)=0[/tex]

The idea now is to take half the linear term (the term stuck to the w), divide it in half, then square that number. Our linear term is 74. Half of 74 is 37, and 37 squared is 1369. So we add 1369 to both sides, the left side first:

[tex]-2(w^2-74w+1369)=...[/tex]

But we didn't just add in 1369. There's a -2 out front there that refuses to be ignored. It's a multiplier. What we ACTUALLY added in was -2 times 1369 which is -2738; therefore:

[tex]-2(w^w-74w+1369)=-2738[/tex]

The left side can be simplified down to a perfect square binomial:

[tex]-2(w-37)^2=-2738[/tex]

Now we'll add over the -2738:

[tex]-2(w-37)^2+2738=y[/tex] and from there determine our answer. The (w-37) term is the width of the rectangle; therefore, the length is 148 - 2(37) which is 74; the total area if the 2738. Completing the square gives us the vertex form of the parabola; the vertex is (37, 2738) where 37 is the width of the rectangle and 2738 is the max area.

Answer:

7

Step-by-step explanation:

Uhh 7 divided by 1 is 7?

Answer:

7

Step-by-step explanation:

There are 7 gallons in a 7-gallon container of milk.

Answer:

A

Step-by-step explanation:

Because 30+18=48, and 3(10+6)=48

10+6=16

3•16=48

Answer:

Step-by-step explanation:

Time taken to eat 30 hot dogs = 64 seconds

Time taken to eat 1 hot hot dog = 64 ÷ 30

                                                    ≈ 2 seconds

Answer:

pythagoras theorem

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Answer:

I think that the equation would be = |X - 2|

Step-by-step explanation:

Hope it was helpful :)

The equation for the function graphed above is [tex]g(x) = |x-2| + 1[/tex].

The expression of [tex]g(x)[/tex] is the consequence of translating both horizontally and vertically regarding [tex]f(x)[/tex], which it can be defined by following expression:

[tex]g(x) = f(x - h) + k[/tex] (1)

If we know that [tex](h,k) = (2, 1)[/tex] and [tex]f(x) = |x|[/tex], then the resulting function is:

[tex]g(x) = |x-2| + 1[/tex]

The equation for the function graphed above is [tex]g(x) = |x-2| + 1[/tex].

The experimental probability that Jason will roll a 2 is 3/14.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, Jason rolls the die 14 times.

From the given table,

Number of favorable outcomes = 3

Total number of outcomes = 14

So, the probability = 3/14

Therefore, the experimental probability that Jason will roll a 2 is 3/14.

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