HELP!!!
Graph y=1/2x- 3

The total yield for an acre, T, in pounds as a function of the number of walnut tree per acre, x is given by T = -1.5x² + 95x.

In order to solve this word problem, we would assign variables to the number of walnut tree per acre and total yield for an acre, and then translate the word problem into algebraic equation as follows:

Mathematically, the total yield for an acre can be calculated by using this mathematical expression:

Total yield for an acre (T) = yield of each tree × number of trees per acre

Substituting the given parameters into the mathematical expression, we have the following;

Total yield for an acre (T) = [50 - 1.5(x - 30)] × x

Opening the bracket, we have:

Total yield for an acre (T) = [50 - 1.5x + 45] × x

Total yield for an acre (T) = 50x - 1.5x² + 45x

Next, we would rearrange the function by collecting like terms and simplifying as follows:

Total yield for an acre (T) = -1.5x² + (50x + 45x)

Total yield for an acre (T) = -1.5x² + 95x

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3 km 9 hm 9 dam 19 m + 7 km 2 dam=​

we know that

1 km-1,000 m

1 hm=100 m

1 dam=10 m

Convert the measures to meters

3 km=3*1,000=3,000 m

9 hm=9*100=900 m

9 dam=9*10=90 m

7 km=7*1,000=7,000 m

2 dam=2*10=20 m

substitute

3 km 9 hm 9 dam 19 m=3,000+900+90+19=4,009 m

7 km 2 dam=7,000+20=7,020 m

so

4,009+7,020=11,029 m

Convert to km hm dam m

11,029 m=11 km+0 hm+ 2 dam+9 m

therefore

Answer:

ans is 12/15

Step-by-step explanation:

cos= b\h b is 12 and h is 15

branliest ?

The numbers of + and - signs tikes in the expressions given in the question are:

a) two - , and zero +

b) two - , and one +

c) one + , and one -

What is expression?

A finite collection of symbols that are correctly created in line with context-dependent requirements is referred to as an expression or a mathematical expression. Mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, and grouping. They may also be used to denote the operation order or other aspects of the logical grammar.

a) Given expression, (-2) + (-6)

When + and - signs comes together we can consider it as - sign only.

Therefore, there are two -, and zero +.

The the result of this expression is -8.

b) Given expression, (-2) + 4 + (-2)

When + and - signs comes together we can consider it as - sign only.

Therefore, there are two -, and one +.

the the result of this expression is -4.

c) Given expression, 5 + (-8)

When + and - signs comes together we can consider it as - sign only.

Therefore, there are one +, and one -.

the the result of this expression is -3.

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y=-2/5x-5 is the equation of a line into slope- intercept form

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The given equation is 6x + 15y = -75

six x plus fifteen y equal to minus seventy five

6x + 15y = -75

Subtract 6x from both sides

6x+15y-6x=-75-6x

15y=-75-6x

Divide both sides by 15

y=-75/15 -6/15 x

y=-5-2/5x

y=-2/5x-5

Hence y=-2/5x-5 is the equation of a line into slope- intercept form

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Answer:

It’ll take about 28 days for Sam to eat a total of 2,200 calories in oranges if he eats 1 orange per day.

Step-by-step explanation:

We can use the equation, 80x = 2200, where x represents the amount of oranges he will eat.

80x = 2200

1. You can use inverse operations in order to find x, or the amount of oranges. A number next to a variable, means multiplication, and the opposite of multiplication is division. So, we’ll divide by 80 on both sides.

80x/80 = 2200/80

2. Cancel out both 80s on the left but leave the x

x = 27.5 or 28 when rounded to the nearest tenth.

If he plans to eat 1 orange per day it’s obviously not possible for him to eat just half or 0.5 of an orange, so you have to round to the nearest whole number.

This means, he’ll have to eat about 28 oranges in order to have eaten 2,200 calories in oranges. So, to answer the question, if he eats 1 orange each day, it will take 28 days for him to eat a total of 2,200 calories.

The limits of the complex functions by means of limit properties are described below:

Case 107: 72

Case 108: 2

Case 109: 7

Case 110: 3

Complex functions can be derived from simpler functions by means of operations, each of them listed below:

In statement we find three constant functions, whose value is the same for every value of x. The limit of complex functions can be derived by means of the following properties:

Addition

[tex]\lim_{x \to a} [f(x) + g(x)] = \lim_{x \to a} f(x) + \lim_{x \to a} g(x)[/tex]

Subtraction

[tex]\lim_{x \to a} [f(x) - g(x)] = \lim_{x \to a} f(x) - \lim_{x \to a} g(x)[/tex]

Multiplication

[tex]\lim_{x \to a} [f(x) \cdot g(x)] = \lim_{x \to a} f(x) \cdot \lim_{x \to a} g(x)[/tex]

Division

[tex]\lim_{x \to a} \left[\frac{f(x)}{g(x)} \right] = \frac{\lim_{x \to a} f(x)}{\lim_{x \to a} g(x)}[/tex]

Composition

[tex]\lim_{x \to a} [f[g(x)]] = \lim_{x \to \lim_{x \to a} g(x)} [f[ \lim_{x \to a} g(x) ]][/tex]

Now we proceed to solve for each case of complex function:

Case 107

[tex]\lim_{x \to 6} 2\cdot f(x)\cdot g(x)[/tex]

[tex]2 \cdot \lim_{x \to 6} f(x) \cdot g(x)[/tex]

[tex]2\cdot \lim_{x \to 6} f(x) \cdot \lim_{x \to 6} g(x)[/tex]

2 · 4 · 9

2 · 36

72

Case 108

[tex]\lim_{x \to 6} \frac{g(x) - 1}{f(x)}[/tex]

[tex]\frac{ \lim_{x \to 6} [g(x) - 1] }{ \lim_{x \to 6} f(x) }[/tex]

[tex]\frac{ \lim_{x \to 6} g(x) - \lim_{x \to 6} 1}{ \lim_{x \to 6} f(x) }[/tex]

(9 - 1) / 4

8 / 4

2

Case 109

[tex]\lim_{x \to 6} \left[f(x) + \frac{1}{3} \cdot g(x)\right][/tex]

[tex]\lim_{x \to 6} f(x) + \lim_{x \to 6} \left[\frac{1}{3}\cdot g(x) \right][/tex]

[tex]\lim_{x \to 6} f(x) + \frac{1}{3}\cdot \lim_{x \to 6} g(x)[/tex]

4 + (1 / 3) · 9

4 + 3

7

Case 110

[tex]\lim_{x \to 6} \frac{[h(x)]^{3}}{2}[/tex]

[tex]\frac{1}{2}\cdot \lim_{x \to 6} [h(x)]^{3}[/tex]

[tex]\frac{1}{2}\cdot [ \lim_{x \to 6} h(x) ] ^{3}[/tex]

(1 / 2) · 6

3

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The coordinates along the directed line segment is (-4, 5/3)

This involves dividing a line into proportional ratios

The points are given as:

A  = (-7, 2)

B = (2, 1)

The ratio on the segment can be represented as;

m : n = 1 : 2

So, we have the coordinates of the point that lies along the directed line segment to be

Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

So, we have:

Point  = 1/(1 + 2) * (1 * 2 + 2 * -7, 1 * 1 + 2 * 2)

Evaluate

Point  = 1/3 * (-12, 5)

Evaluate the products

Point  = (-4, 5/3)

Hence, the coordinates of the point is (-4, 5/3)

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By solving a linear equation, we will see that the two consecutive integers are -8 and -7

We know that the sum of an integer and 6 times the next consecutive integer is -50.

So if x is the integer, x + 1 will be the next consecutive integer, then we can write the equation:

x + 6*(x + 1) = -50

So we need to solve a linear equation, it will give:

x + 6x + 6 = -50

7x + 6 = -50

7x = -50 - 6

7x = -56

x = -56/7 = -8

Then the next integer is:

x + 1 = -8 + 1 = -7

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The equation "75 = -16x² + 20x + 70" can be re-written as "-16x² + 20x - 5 = 0" to solve the same problem.

So, the equation is: 75 = -16x² + 20x + 70

The following equation can be re-written as follows:

Therefore, the equation "75 = -16x² + 20x + 70" can be re-written as "-16x² + 20x - 5 = 0" to solve the same problem.

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Step-by-step explanation:

96, 45, 0, -31, -58

you can maybe remember that a "bigger" negative number just means that it is more negative than the "smaller" negative number. and therefore the seemingly bigger negative number is actually smaller.

just think : a temperature of -3° is colder than e.g. -1 or -2.

Answer: 80

Step-by-step explanation:

Answer:There are exactly 80 ounces

Step-by-step explanation:

80 ounces

The amount 42,400 at 13% for 2 years will be 53,424 in total with the interest 11,024.

we calculate the simple interest by multiplying the principal amount by the number of periods and the interest rate. Simple interest does not compound, and you don’t have to pay interest on interest. In simple interest, the payment applies to the month’s interest, and the remainder of the payment will reduce the principal amount.
The simple interest calculated by the following mathematical formula:

A = P (1+rt)

P = Principal Amount

R = Rate of interest

t = Number of years

A = Total accrued amount (Both principal and the interest)

Interest = A – P.

A= 42,400(1+0.13×2)

A= 53,424

Interest = A-P

53,424- 42,400 = 11,024.

Thus the amount will be  53,424 and Interest will be 11,024.

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The amount ₹ 42400 at 13% for 2 years will be ₹ 53424 with ₹ 11024 interest.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple Interest is calculated using the following formula: SI = P × R × T/100, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100. And the principal is the sum of money that remains constant for every year in the case of simple interest.

Amount is the total money paid back at the end of the time period for which it was borrowed.

The total amount formula in case of simple interest can also be written as: A = P + SI, where P = Principal and SI = Simple Interest.

In this question,

P =  ₹ 42400

R =  13%

T = 2 years

SI = P x R x T / 100

= 42400 x 13 x 2 / 100

= 424 x 13 x 2

SI = ₹ 11024

Amount = P + SI

            = ₹(42400 + 11024)

            = ₹ 53424

The amount ₹ 42400 at 13% for 2 years will be ₹ 53424 with ₹ 11024 interest.

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Answer:

17

Step-by-step explanation:

So, you start with division. 15/3=5, so you have 5+4x3

Then, you have to multiply. 4x3=12, so you have 5+12

Finally, you do 5+12, which is 17.

So, the simplified expression is 17.

Answer:

Step-by-step explanation:

Simplify the expression

15 ÷ 3 + 4 x 3​                (Remember PEMDAS)

5 + 12 =

17

The easiest way to solve this is to write the line in slope-intercept form.

The slope intercept is of the form:

Where a is the slope of the line, any lines that ahve the same slope are parallel.

Then, we solve for y the equation of the line given:

The slope of the line in the problem is 8/7. Then if we look at the options, the only one that has a slope of 8/7 is option B, which is the correct answer.

Answer:

Step-by-step explanation:

I think the answer is 1/6.

There are six sides and only one side has a 5 on it.

So, one side with a five/six sides in total

Meena will be able to read 2/3 books per month

Meena read 2 books in 5 months

The number of books she can read in one month can be calculated as follows

2= 5

y= 1

cross multiply both sides

5y= 2

Divide both sides by the coefficient of y which is 5

5y/5= 2/5

y= 2/5

Hence Meena can read 2/5 books in a month

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Answer:

p = 5 ; q = -11

Step-by-step explanation:

      [tex]\sf (a - b)^2 = a^2 + b^2 - 2ab\\\\(\sqrt{5}-3)^2 = (\sqrt{5})^2+3^2-2*\sqrt{5}*3[/tex]

                       [tex]\sf = 5 + 9 -6\sqrt{5}\\\\= 14 - 6\sqrt{5}[/tex]

[tex]\sf \dfrac{(\sqrt{5}-3)^2}{\sqrt{5}+1}=\dfrac{14-6\sqrt{5}}{\sqrt{5}+1}[/tex]

 Multiply the denominator and the numerator by (√5 - 1).

                 [tex]\sf= \dfrac{(14-6\sqrt{5})(\sqrt{5}-1)}{(\sqrt{5}+1)(\sqrt{5}-1)}\\\\\\= \dfrac{14*\sqrt{5}-14*1-6\sqrt{5}*\sqrt{5}+6\sqrt{5}*1}{(\sqrt{5})^2-1^2}\\\\\\=\dfrac{14\sqrt{5}-14-6*5+6\sqrt{5}}{5-1}\\\\\\=\dfrac{14\sqrt{5}+6\sqrt{5}-14-30}{4}[/tex]

                 [tex]\sf = \dfrac{(14+6)\sqrt{5}-44}{4}\\\\\\= \dfrac{20\sqrt{5}-44}{4}\\\\=\dfrac{20\sqrt{5}}{4}-\dfrac{44}{4}\\\\\\=5\sqrt{5}-11[/tex]

p = 5

q = -11

Answer:

Workers to be be added to finish the work in 24 hours = 348

Step-by-step explanation:

This is a problem involving inverse proportion

Here the number of days required to complete the job is inversely proportional to the number of workers- the more the workers, the less time it takes

We can state this as:
[tex]D \propto \dfrac{1}{N}[/tex]

where D = time in days required to complete the job and N is the number of workers that can do this in D days

The equation relating D and N can be stated as

[tex]D = k \dfrac{1}{N}[/tex]

This gives us k = D x N  (multiply by N both sides)

where k is a constant known as the constant of proportionality

Given data that D = 30 when N = 12, this constant of proportionality = D x N = 30 x 12 = 360

From the equation of proportionality we also get
N = k/D

So to complete the job in 24 hours = 1 day, substitute 1 for D and 360 for k to get
N = 360/1 = 360 workers

So you will need 360-12 = 348 workers if you expect to  finish the job in 24 hours = 1 day

Answer:

Your answer is [tex]10x + 5[/tex]

Step-by-step explanation:

A coefficient is the number before the variable, in this case, 10.

A constant is the number with no variable attached to it, in this case, 5.

If [tex]log_3(x^2)=4[/tex], then that means [tex]3^4=x^2[/tex], so [tex]x=9[/tex].

If [tex]log_2(y^3)=6[/tex], then that means [tex]2^6 = y^3[/tex], so [tex]y=4[/tex].

[tex]log_b(x)+log_b(y)=log_b(x\cdot y) = log_b(36)[/tex]

so, the last statement is equivalent to [tex]log_b(36) = \frac{1}{2}[/tex] or [tex]b^{1/2}=36[/tex].

This means that [tex]b=36^2 = 1296[/tex].

I'm on board with your answer.

If it had been [tex]log_b(x)+log_b(y)=2[/tex], then [tex]b=6[/tex] would have been correct.

The cost of building a house with the area 5,425 square feet is $763,125.

The given function is C(x)=85,000+125x.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, x represents the area of a house is 5,425 square feet.

Put x=5425 in the given function, that is

The total cost = C(5425)=85,000+125 × 5425

= $763,125

Therefore, the cost of building a house with the area 5,425 square feet is $763,125.

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Answer:

-17 would be three tick marks to the right of  -20

-11 would be 9 tick marks to the right of -20 or 6 right of the tick mark for -17

-2 would be 18 tick marks to the right of -20 or 15 tick marks to the right of -17 or 9 tick marks to the right of -11

Step-by-step explanation:

-20, -19, -18,-17      This is what -17 is three tick marks to the right of -20  

-20 -19 -18 -17 -16  -15 -14 -13 -12 -11      

-20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2

Answer:

3(2x+y)

Step-by-step explanation:

3 is the gcf. So it would be 3(2x+y)

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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Answer:

10+15x=?

Step-by-step explanation:

x=every week

Answer: y=15x+10

Step-by-step explanation: the y is the amount of money he has, the x is the number of weeks, and the 15 shows he gets 15 dollars a week and the 10 shows he starts with 10$

The sale price of the backpack is $25.50.

The original price of the sweatshirt is $40.

From the information, the sale price of every item in a store is 85% of its usual price and the usual price of a backpack is $30.

The sale price will be:

= Percentage × Original price

= 85% × $30

= $25.50

The sale price of a sweatshirt is $34, its original price will be:

= 85% × x = $34

0.85x = $34

x = $34 / 0.85

x = $40

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Answer:

I would go for y in the first equation

Step-by-step explanation:

You get y from the first equation I guess. The question is a bit confusing though.

The scale factor for #7 is 0.5, because the dotted rectangle is half the size of the shaded one. The scale factor for #8 is 3, because the dotted triangle is 3 times as big as the shaded one.

Answer:

4/5 would be red but if we add 3/5 and 4/5 it would become 7/10.

Step-by-step explanation:

I think this is right.