Given: -8(x+1)=-5(x+10) prove x=14

Step-by-step explanation:

Cost price of the watch = $525

Discount percentage = 15%

So selling price = 525 - 15% of 525

= 15/100 x 525 = 262.5

Selling price = 525 - 262.5 = $262.5

Selling price = $262.5

Answer: 238 widgets

Step-by-step explanation:

12000$ - 2950$ = 9050$

9050$/38$≈238 (widgets)

The required, Buford can make at most 238 widgets in a month for $12,000.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's first calculate the total cost of making x widgets in a month.

The cost of materials for each widget is $38, so the total cost of materials for x widgets is 38x.

In addition to the cost of materials, Buford has to pay $2950 per month for rent. So the total cost of making x widgets in a month is,

C(x) = 2950 + 38x

We want to know how many widgets Buford can make in a month for $12,000. So we want to solve the equation,

C(x) = 12000

Substituting the expression for C(x), we get:

2950 + 38x = 12000

38x = 9050

x = 238.16

Buford cannot make a fraction of a widget, so he can make at most 238 widgets in a month for $12,000.

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Answer:

5.33

Step-by-step explanation:

Answer & Step-by-step explanation:

11). X = 4

12). X = 6

13). X = 3

14). X = 12

You can write in the comments if you want an explanation.

Hope this help ;)

Answer:

11). \((2 + 7x) + (11x + 6) = 80 \\ 18x + 8 = 80 \\ 18x = 72 \\ \boxed{x = 4}\)

12). \(13x + 52 = 22x - 2 \\ 9x = 54 \\ \boxed{x = 6}\)

13). \((14x + 4) + 24x = 118 \\ 38x = 114 \\ \boxed{x = 3}\)

14). \((x + 21) + (x + 23) = 68 \\ 2x + 44 = 68 \\ 2x = 24 \\ \boxed{x = 12}\)

Answer:

36

Step-by-step explanation:

2850/78 = 36.538

Answer:

36.538

Step-by-step explanation:

since he has 2,850 worth of string and he needs 78 pieces, you would divide 2,850 by 78 which gives you 36.53846154 but you would make it 36.538. if you needed to round by the tenths, its 36.5, hundredths is 36.54, and thousandths is 36.538.

Answer:

H(-9,8).

Explanation:

In a function, an x-value cannot have more than one y-value.

In the ordered pairs, there are already x-values of 9, -3 and 6.

Thus, options F, G, and J cannot form an ordered pair in the function.

The correct choice is H(-9,8).

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

Step-by-step explanation:

I've attached my working out.

Because it is typically too expensive and too time consuming, researchers often select a sample, a group of people that are representative of the larger population.

A sample is a smaller group of individuals selected from a larger population for the purpose of studying and making inferences about the population. Sampling is used when studying the entire population is not feasible due to limitations in time, resources, or practicality. The goal is to select a sample that accurately represents the population in terms of key characteristics such as age, gender, education level, etc. The sample must be representative of the population, meaning that it should accurately reflect the characteristics of the population. This is important because any biases or inaccuracies in the sample can lead to incorrect inferences about the population. A well-selected sample should also have a large enough size to provide meaningful results, yet not be so large that it becomes difficult to manage or too expensive to study.

In conclusion, sampling is a crucial step in research because it enables researchers to study a portion of the population, rather than the entire population, in order to make inferences about the larger group.

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Answer:

45

Step-by-step explanation:

translation :

140% of x = $63

x = $63 ÷ 1.4

x = $45

FUN FACTS :

interesting: 100% means double that number or times 2

if a price is $20 & it increases 100% in price that means its $20 times 2 or $40

percent means per 100

cent means 100 in latin

that's why the decimal moves 2 spaces

for the 2 zeros in 100

chatgpt

Answer:

170°

Step-by-step explanation:

180 - 10 = 170

Answer:

-15

Step-by-step explanation:

1/-13

The reciprocal is

\(1/ 1/-13\)

Because of the law of indices,

We'll have \( 1 * -13 \)

= -13.

-1/2

The reciprocal is

1 ÷ -1/2

Because of the law of indices,

We'll have \( 1 * -2 \)

= -2

Therefore, the sum would be -13 + (-2) which would be equals to -15.

-15

Step-by-step explanation:

1/-13

The reciprocal is

Because of the law of indices,

We'll have

= -13.

-1/2

The reciprocal is

1 ÷ -1/2

Because of the law of indices,

We'll have

= -2

Therefore, the sum would be -13 + (-2) which would be equals to -15.

Answer:

$23,465

$4,693

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number.

6.5% of $361,000 = 0.065 × $361,000 = $23,465

20% of $23,465 = 0.2 × $23,425 = $4,693

Answer:

x=10

Step-by-step explanation:

right angle is always 90

we can add 4+6=10

90-10=80

3*x+5*x=8*x

8*x=80

divide both sides by eight

x=10

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

Answer:

(0, -7) i think

hope this helps :3

sorry if im wrong

Answer

LESS THAN

Step-by-step explanation:

You would get 23p as change from £1 if you spent 77p.

To find how much change you would get from £1 if you spent 77p, you need to subtract the amount you spent from the total amount you have.

Total amount = £1

Amount spent = 77p

To find the change, we need to convert both amounts to the same unit (pence) before performing the subtraction.

1 pound (£1) is equal to 100 pence, so:

Total amount = 100p

Amount spent = 77p

Now, subtract the amount spent from the total amount to find the change:

Change = Total amount - Amount spent

Change = 100p - 77p

Change = 23p

So, you would get 23p as change from £1 if you spent 77p.

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Answer:

(0, 7), (1, 11), (2, 15)

Step-by-step explanation:

to find the y values, plug in the given x values into the equation y= 4x+7

when x = 0

y = 4(0) + 7

y = 0 + 7

y = 7

so the y value that corresponds to the x value 0 is 7 which is also written as (0,7)

when x = 1

y = 4(1) + 7

y = 4 + 7

y = 11

so the y value that corresponds to the x value 1 is 11; also written as (1, 11)

when x = 2

y = 4(2) + 7

y = 8 + 7

y = 15

so the x value 2 corresponds to the y value 15; also written as (2 , 15)

hope this helps

Answer:(0, 7), (1, 11), (2, 15)

Step-by-step explanation:

By the fundamental theorem of calculus,

\(\displaystyle y = \int_0^v \sqrt{3+4t^2} \, dt \implies \boxed{\frac{dy}{dv} = \sqrt{3+4v^2}}\)

In general,

\(\displaystyle \frac{d}{dx} \int_0^{g(x)} f(u) \, du = f(g(x)) \frac{dg}{dx}\)

Answer:

the image is hard to read... this is the best that I can see

Step-by-step explanation:

\(\sqrt[3]{x^{3} } = x^{3/3} = x\\\sqrt[3]{x^{5} } = x^{5/3} \\\\\sqrt[5]{x } = x^{1/5} \\\\\sqrt[2]{x ^3 } = x^{3/2} \\\)

~~~~~~~~~~~~~~~~~~~

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

When x = 5, y = 7000 * 5 + 125000 = $160,000.

When x = 10, y = 7000 * 10 + 125000 = $195,000.

Answer:

f(5) = $160,000

f(10) = $195,000

Step-by-step explanation:

Simply plug in 5 and 10 as x into the equations:

y = 7000(5) + 125000

y = 35000 + 125000

y = 160000

y = 7000(10) + 125000

y = 70000 + 125000

y = 195000

The required number of cup of milk required to make 87 cookies.

While you're discussing a recipe, you can make sense of what fixings are required by talking about that the recipe "calls for ___". For instance: It calls for olive oil.

A recipe calls for of a cup of milk for 29 cookies.

It means we need 29 cookies for one cup of milk,

To find number of cup need to make 87 cookies.

Then,

29 cookies = one cup

one cookie = one cup/29

87 cookies = 87/29 cup of milk

3 cup of milk

Thus, there are 3 cup of milk required.

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Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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When the function's values are equal to zero and the zeros of the function y=x3-3x2-6x+8 are [2,1,4].

Mathematics relates to numbers including their variants, mathematics and related structures, objects and their locales, and locations where they might be found. The term "function" describes the relationship between groups of inputs, which each have a corresponding output. A function is really an association between inputs and outcomes where each input results in a single, unique output. A domain and then a codomain, or scope, are assigned to each function. Functions are frequently denoted by the letter f. (x). The entry is an x. On functions, one-to-one activities, many-to-one functions, within functions, and also on functions are the four principal types of functions that seem to be available.

given

we have  \(y=x^3-3x^2-6x+8\)

we know that

When the function's values are equal to zero, the values of x are the function's zeros.

In this problem the apparent zeros are

For  x = -2

y = 0

For x = 1

y = 0

For x = 4

y = 0

When the function's values are equal to zero, the zeros of the function \(y=x3-3x2-6x+8\) are [2,1,4].

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